text:
A circuit is designed by an experienced trainer to meet a physical goal (e. Problem: Do we use calculus in everyday life? What is the relationship between electrical circuit and calculus?. Includes Q & A and homework options Plus wordsearch starter é simple and more complex worksheets to reinforce. Circuit Training - Mixed Applications of the Derivative Name Directions: Beginning in cell #1, use calculus to help answer the question. Note: The last 4 problems are challenge problems and may involve geometry, integration by parts, and/or partial fractions. Fun! The answers lead from one question to the next in a scavenger-hunt fashion. A set of questions on the concepts of the limit of a function in calculus are presented along with their answers. Optimization-Maximum and Minimum Area and Volume Problems. 972-561-1477 Indrajit Bourgeois. this manner until you complete the circuit. Created Date: 5/30/2017 11:15:17 AM. Search for your answer. Derivatives of Inverse Functions In 1-3, use the derivative to determine whether the function is strictly monotonic on its entire domain and therefore has an inverse. Think About It…Find the derivative of y tanx. The Quotient Rule in Words The Quotient Rule says that the derivative of a quotient is the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all divided by the square of the denominator. Fax: 704-723-4352. View Virge Cornelius’ profile on LinkedIn, the world's largest professional community. (a) When is the object at rest? (b) Evaluate 6 1 ∫ vt dt(). Get access to your Read Student Exploration Circuits Answer Key Pdf PDF anywhere on your browser or download on COMPUTER or Tablet computer. strength, stamina, flexibility) through a set of assigned exercises, completed in a prescribed order. Or, you could take the derivatives of the answers and match / complete the circuit that way. Take the derivative. Once you and your students try one circuit, you will be hooked!. the derivative at a point. For the first meeting they must complete a circuit ($400 \; \text{m}$). Get online free Read Student Exploration Circuits Answer Key Pdf PDF available in formats PDF, Kindle, ePub, iTunes and Mobi also. 23 MB (Last Modified on March 18, 2019) Comments (-1). Circuit Training - The Last Circuit! (calculus) by Virge Cornelius' Mathematical Circuit Training Download and use this at the end of your calculus course. 2 4 2 4 x x f 2. 12 questions. Doctors give trusted answers on uses, effects, side-effects, and cautions: Dr. 25 scaffolded questions that start relatively easy and end with some real challenges. Note: The last 4 problems are challenge problems and may involve geometry, integration by parts, and/or partial fractions. com- Sinhala Wal Katha School Home design for the big day - or every day. This activity starts with a set of questions and associated answers. This resource will give you and your students a taste of circuit fun! Students begin in the first cell, add or subtract the fractions as indicated and then search for their answer. ) and build up to higher level play. virge cornelius 2016 circuit training derivatives of inverses answers, A 16 problem circuit training exercise. They will receive an automated email and will return to answer you as soon as possible. Please practice hand-washing and social distancing, and check out our resources for adapting to these times. 19 Inverse Equations Factorings and Solving Day 1 3. I want my students to leave my classroom both wiped out and. That meant they hadn’t done any calculus (let alone any rigorous thinking, last-minute college application essays aside) in 22 days. ections; Begin in cell #1. tn some cases, you wtll need to evaluate the derivative, answer a question, or. A few years ago I made a New Year's Resolution to write to authors whose work was particularly transformative in some way for me. Computing the logarithm of a signal is a very useful signal processing technique to compress a large dynamic range into a more manageable smaller range. The problems can all be worked without a calculator, but this does not make them easy! I have based the questions on PARCC and CCSS items. This resource will give you and your students a taste of circuit fun! Students begin in the first cell, either add or subtract the mixed numbers as indicated and then search for their answer. Optimization-Maximum and Minimum Area and Volume Problems. Fun! The answers lead from one question to the next in a scavenger-hunt fashion. The Quotient Rule in Words The Quotient Rule says that the derivative of a quotient is the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all divided by the square of the denominator. Continue until the worksheet is complete and you find the answer found in the first box. Objectives: To investigate the influence of resistance training (RT), aerobic training (AT), or combination training (CT) interventions on the body composition, muscle strength performance, and. The answers form a "solution bank. Download and use this at the end of your calculus course. Notice that the subject derivative has the same sign for all values of x, so is a. This is Vodafone Smart Ultra 6 (9. All functions are represented from trig and exponential to square root, cubic, and logarithmic. Each problem gives the student the equation for f'(x) and a point on the original graph in the form f(a) = b. 12 questions. com- Sinhala Wal Katha School Home design for the big day - or every day. designmeetswriting. incidence light meter clube monte libano sp eventos catolicos image de sirene de mer tyquan lewis decision 2016 realistic tattoo techniques shading interval training fahrrad 1620 lesco leaf vacuum 5n400 moodle cpv14-ge-fb-8 piston ar problems kelen francine ferreira alves farmer's cheese crepes recipe fussy dog in crate clip henry eugene. By Virge Cornelius' Mathematical Circuit Training Give your students engaging, rigorous practice with the circuit format! This set of 20 exercises is perfect for the transition from the derivative to the integral. Search for your answer. A circuit is designed by an experienced trainer to meet a physical goal (e. Plus model problems explained step by step. Download and use this at the end of your calculus course. Circuit Training Optimization Answer Key. The problems start easy where it is simple to find the inverse and then differentiate, and then they progress from there. To complete a T-table, rewrite the equation so that y equals an expression. Applications of Derivatives-First Derivative and Second Derivative Tests and Concavity Test (4. 9) Answer Key. Virge Cornelius' Mathematical Circuit Training Your students will stay engaged as they practice their derivatives of logarithmic and exponential functions. Think About It…Find the derivative of y tanx. They meet first at $\frac{3}{5}$ of the circuit in the direction Mike runs, and at $\frac{2}{5}$ of circuit in the direction Monisha runs. Derivatives of Inverses. 314-818-5357 Hydrically Scuolacastelfrancodi. Professional skills in video production are designed to help students present their research results to a wider audience and to use visual media effectively in communicating ideas about anthropology. Once you and your students try one circuit, you will be hooked!. Or, you could take the derivatives of the answers and match / complete the circuit that way. This resource will give you and your students a taste of circuit fun! Students begin in the first cell, either add or subtract the mixed numbers as indicated and then search for their answer. Then, calculate the total current. 12 questions. The problems build in difficulty and students must search for their answers to advance in the circuit. Currently priced at 199. You tube video with Virge and Mark on answering above problems Click Here. Note: The last 4 problems are challenge problems and may involve geometry, integration by parts, and/or partial fractions. What is a Mathematical Circuit? Circuit training is a popular form of exercise at the gym. Search for your answer. Continue in this manner until you complete the circuit. Write your answer in interval notation. Reviews everything from asymptotes to domain and range, logs to sine and cosine. They will receive an automated email and will return to answer you as soon as possible. 9) Answer Key. Optimization-Maximum and Minimum Area and Volume Problems. com- Sinhala Wal Katha School Home design for the big day - or every day. Circuit Training - Derivatives of Inverse Trig Functions (calculus) Help your students learn the derivatives of the six inverse trig functions (not to mention practicing chain rule!) in this 16-question self-checking circuit. Ans r: The graph of two line segments and a semi-circle showsL. Musicians and athletes start small (scales, push-ups, etc. A circuit is designed by an experienced trainer to meet a physical goal (e. Each problem gives the student the equation for f'(x) and a point on the original graph in the form f(a) = b. I will fix and upload a new version as soon as I get a chance. Circuit Training Optimization Answer Key. This bundle contains TEN circuits! Please read each product description before you make your purchase to ensure you don't already have the circuit. tn some cases, you wtll need to evaluate the derivative, answer a question, or. The solution for this problem is closely related to partition numbers. Circuit Training – Precal / Trig Review NO CALCULATOR! Name _____ Directions: Beginning in cell #1, read the question and show the work necessary to answer it (attach separate sheets if necessary). Creating RC Circuits to generate functions using function generator NI MyDAQ and then analyze the functions using Calculus. Mathematical Circuit Training / Around the World / Star Chain / Question Stack - There are lots of different names for and variations of this activity. 3) Answer Key. 530-449-3215 781-787 Phone Numbers in Woburn, Massachusetts. 314-818-9558 Kambrel Graupman. Over 400 Gizmos aligned to the latest standards help educators bring powerful new learning experiences to the classroom. 314-818-5357 Hydrically Scuolacastelfrancodi. 9) Answer Key. This set of 24 problems (includes implicit differentiation, inverse trig functions, and transcendentals) in the self-checking format of a circuit will keep your calculus students engaged as they practice taking the derivative. It was late December at the time, the time for all New Year's Resolutions, and being a high school teacher, the time for one of my two annual binge reading sessions. That new box is numbered two and then find the answer to that box. 4/28 Application of derivatives and finding max, min, increase,decrease, concavity, inflection. Circuit Training - Derivatives of Inverse Trig Functions (calculus) Help your students learn the derivatives of the six inverse trig functions (not to mention practicing chain rule. The essential part is that there is a series of problems and the answer for each problem leads you to the next question to ask. -In Answer: f(3x2 + cos x)dx — Inlcosxl + C Answer: cokóò) Answer: Answer: 3. Fun! The answers lead from one question to the next in a scavenger-hunt fashion. Notice that the subject derivative has the same sign for all values of x, so is a. A circuit is designed by an experienced trainer to meet a physical goal (e. THEY WORK OUT. The problems can all be worked without a calculator, but this does not make them easy! I have based the questions on PARCC and CCSS items. Kuhn March 24, 2013 A log converter is a circuit that converts an input voltage to an output voltage that is a logarithmic function of the input voltage. Logarithmic Circuits 1 by Kenneth A. Free worksheet(pdf) and answer key on Unit Circle. this manner until you complete the circuit. 972-561-4369 His scandal is lik. Derivatives of Natural Logs (3. ) and build up to higher level play. Write your answer in interval notation. They meet first at\frac{3}{5}$of the circuit in the direction Mike runs, and at$\frac{2}{5}$of circuit in the direction Monisha runs. This activity starts with a set of questions and associated answers. Circuit Training - Derivatives of Inverse Trig Functions (calculus) Help your students learn the derivatives of the six inverse trig functions (not to mention practicing chain rule!) in this 16-question self-checking circuit. Applications of Derivatives-First Derivative and Second Derivative Tests and Concavity Test (4. See the complete profile on LinkedIn and discover Virge’s. Explain the meaning of the result. Worked in are calculus ideas such as limits, tangent lines and average rate of change. Virge Cornelius' Mathematical Circuit Training Your students will stay engaged as they practice their derivatives of logarithmic and exponential functions. The new L’Hospital’s rule circuit can be used in the applications of the derivative section, but it has two integrals as the last two questions so I put it with the end of the year stuff. Search for your answer. Show how the calculus finds or confirms your answer. g x a 3 b 3. It is so wonderful that she wants to share it with everyone for free!. Each problem gives the student the equation for f'(x) and a point on the original graph in the form f(a) = b. Volitional control in training for competitive sports is problematic: subjects do not actually choose to do 30 Â 60 meter sprints, or nonstop crunches for three minutes or to get up at 4:00 a. Doctors give trusted answers on uses, effects, side-effects, and cautions: Dr. Posts about derivative written by virgecornelius. Circuit Training - Precal / Trig Review for (AP) Calculus NO CALCULATOR These 24 problems are great to use with your calculus students within the first few days of the school year. Then substitute vaiues for x and solve for y. Continue in this manner until you complete the ctrcult. Ans r: The graph of two line segments and a semi-circle showsL. Enter your email address to follow this blog and receive notifications of new posts by email. A few years ago I made a New Year’s Resolution to write to authors whose work was particularly transformative in some way for me. We simply use the reflection property of inverse function: Derivative of the inverse function at a point is the reciprocal of the derivative of the function at the corresponding point. 972-561-1477 Indrajit Bourgeois. Comprehensive powerpoint to promote discussion of training principles. 12 questions. To complete a T-table, rewrite the equation so that y equals an expression. Gizmos are interactive math and science simulations for grades 3-12. In equation form, this statement amounts to dy ky dt = , where k is a constant of proportionality. Download and use this at the end of your calculus course. Finally, calculate the individual currents and voltages for each resistor. Browse over 230 educational resources created by Virge Cornelius' Mathematical Circuit Training in the official Teachers Pay Teachers store. 9) Answer Key. CircuitTraining - CHAIN Rule Name Djr. ections; Begin in cell #1. Virge Cornelius Circuit Training Answers. Circuit Training - Anti differentiation Name Directions: Begin in cell #1. The Quotient Rule in Words The Quotient Rule says that the derivative of a quotient is the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all divided by the square of the denominator. this manner until you complete the circuit. Concord, NC 28027. The 2019 test will be given. Circuit Training - Derivatives of Inverse Trig Functions (calculus) Help your students learn the derivatives of the six inverse trig functions (not to mention practicing chain rule!) in this 16-question self-checking circuit. The problems build in difficulty and students must search for their answers to advance in the circuit. Give your students engaging practice with the circuit format! This circuit contains 14 derivatives of inverse functions. Title: Application of differentiation and Integration function in engineering field. That means we strive for a five!!! Powerpoint with Questions and Answers. virge cornelius 2016 circuit training derivatives of inverses answers, A 16 problem circuit training exercise. In each cell you will find the first derivative and a point on the original. 4/28 Application of derivatives and finding max, min, increase,decrease, concavity, inflection. The new L’Hospital’s rule circuit can be used in the applications of the derivative section, but it has two integrals as the last two questions so I put it with the end of the year stuff. Fun! The answers lead from one question to the next in a scavenger-hunt fashion. this manner until you complete the circuit. Mathematical Circuit Training / Around the World / Star Chain / Question Stack - There are lots of different names for and variations of this activity. Comprehensive powerpoint to promote discussion of training principles. Position, Velocity, and Acceleration Page 12 of 15 Free Response 1 - No Calculator The graph given above is yvt= (), the velocity of an object moving on a line over the time interval [0, 8]. Enter your email address to follow this blog and receive notifications of new posts by email. Get online free Read Student Exploration Circuits Answer Key Pdf PDF available in formats PDF, Kindle, ePub, iTunes and Mobi also. Virge Cornelius' Mathematical Circuit Training Your students will stay engaged as they practice their derivatives of logarithmic and exponential functions. Kuhn March 24, 2013 A log converter is a circuit that converts an input voltage to an output voltage that is a logarithmic function of the input voltage. Sinhala Wal Katha School [] | Sinhala Wal Katha School See more ideas about Home ideas. Circuit Training - Derivatives of Inverse Trig Functions (calculus) Help your students learn the derivatives of the six inverse trig functions (not to mention practicing chain rule!) in this 16-question self-checking circuit. A circuit is designed by an experienced trainer to meet a physical goal (e. Math Circuit Training from Virge Cornelius ; 2016 NCTM Annual Ignite in San Francisco, CA Max explains why listening "2" students is greater than listening "4" the right answers. virge cornelius 2016 circuit training derivatives of inverses answers, A 16 problem circuit training exercise. If you do not plan on taking the AP Exam, we must have a conversation about it first. Circuit Training - Mixed Applications of the Derivative Name Directions: Beginning in cell #1, use calculus to help answer the question. Here are latest Firmware updates. The answers form a "solution bank. June 6, 2016 January 3, 2018 / virgecornelius. Once you and your students try one circuit, you will be hooked!. Then substitute vaiues for x and solve for y. the derivative at a point. Circuit 1 R1 R2 R3 Vtotal R I V R1 3 Ω 1 3 Vtotal = 9 v R2 3 Ω 1 3 Itotal = 1 R3 3 Ω 1 3 Rtotal = 9 Circuit 2 Vtotal R1 R2 R3 R I V. Please practice hand-washing and social distancing, and check out our resources for adapting to these times. Explain the meaning of the result. A few years ago I made a New Year’s Resolution to write to authors whose work was particularly transformative in some way for me. I will fix and upload a new version as soon as I get a chance. Fun! The answers lead from one question to the next in a scavenger-hunt fashion. Circuit Training - Derivatives of Inverse Trig Functions (calculus) Help your students learn the derivatives of the six inverse trig functions (not to mention practicing chain rule!) in this 16-question self-checking circuit. Slope of the line tangent to 𝒇 at 𝒙= is the reciprocal of the slope of 𝒇 at 𝒙=. Exponential Functions and RC circuits The defining characteristic of an exponential function is: Rate of change of a quantity is proportional to the quantity. Circuit Training Optimization Answer Key. CircuitTraining - CHAIN Rule Name Djr. All functions are represented from trig and exponential to square root, cubic, and logarithmic. They will receive an automated email and will return to answer you as soon as possible. Kuhn March 24, 2013 A log converter is a circuit that converts an input voltage to an output voltage that is a logarithmic function of the input voltage. We simply use the reflection property of inverse function: Derivative of the inverse function at a point is the reciprocal of the derivative of the function at the corresponding point. this manner until you complete the circuit. If you do not plan on taking the AP Exam, we must have a conversation about it first. Free worksheet(pdf) and answer key on Unit Circle. And don't forget we have a quiz n derivatives and limits. These 24 problems are great to use with your calculus students within the first few days of the school year. Circuit Training - Anti differentiation Name Directions: Begin in cell #1. — Inlcosxl + C Answer: Answer: Answer: —In f(3x2 + cos x)dx ex C f x(x2 — 3)dx. 585-368-2311 Hendecasemic Buildercolchester. 972-561-6105 VPN Connection Name And Server Address | Caskets-to-go VPN. Slope of the line tangent to 𝒇 at 𝒙= is the reciprocal of the slope of 𝒇 at 𝒙=. In each cell you will find the first derivative and a point on the original. Take the derivative. Virge Cornelius Circuit Training Answers. The problems start easy where it is simple to find the inverse and then differentiate, and then they progress from there. Each problem gives the student the equation for f'(x) and a point on the original graph in the form f(a) = b. Kuhn March 24, 2013 A log converter is a circuit that converts an input voltage to an output voltage that is a logarithmic function of the input voltage. Ans r: The graph of two line segments and a semi-circle showsL. Enter your email address to follow this blog and receive notifications of new posts by email. Students start by solving one of the questions. The problems can all be worked without a calculator, but this does not make them easy! I have based the questions on PARCC and CCSS items. The new L’Hospital’s rule circuit can be used in the applications of the derivative section, but it has two integrals as the last two questions so I put it with the end of the year stuff. Write your answer in interval notation. In this circuit students had to actually calculate the constant term given a point on the original function. Virge Cornelius' Mathematical Circuit Training Your students will stay engaged as they practice their derivatives of logarithmic and exponential functions. Download and use this at the end of your calculus course. The 15 problems in this circuit will give your students practice with invoking the Intermediate Value Theorem, the. Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Comprehensive powerpoint to promote discussion of training principles. Take the derivative. Reviews everything from asymptotes to domain and range, logs to sine and cosine. ) and build up to higher level play. 12 questions. ections; Begin in cell #1. Circuit Training - Mixed Applications of the Derivative Name Directions: Beginning in cell #1, use calculus to help answer the question. CircuitTraining - CHAIN Rule Name Djr. The new L’Hospital’s rule circuit can be used in the applications of the derivative section, but it has two integrals as the last two questions so I put it with the end of the year stuff. In equation form, this statement amounts to dy ky dt = , where k is a constant of proportionality. 585-368-9414 Hunchbacked Scuolacastelfrancodisotto coronitis. Get online free Read Student Exploration Circuits Answer Key Pdf PDF available in formats PDF, Kindle, ePub, iTunes and Mobi also. designmeetswriting. Search for your answer. Show how the calculus finds or confirms your answer. L La Fevers 9781558683150 1558683151 Wilderness Canada : Travel/Adventure, Karl Teuschl 9788185173047 8185173044 Unaging Intellect - Essays on W. These questions have been designed to help you gain deep understanding of the concept of limits which is of major importance in understanding calculus concepts such as the derivative and integrals of a function. 2 4 2 4 x x f 2. strength, stamina, flexibility) through a set of assigned exercises, completed in a prescribed order. You start in the first box, find the answer in another box. No calculuator needed. Kuhn March 24, 2013 A log converter is a circuit that converts an input voltage to an output voltage that is a logarithmic function of the input voltage. Virge Cornelius' Mathematical Circuit Training Your students will stay engaged as they practice their derivatives of logarithmic and exponential functions. Comprehensive powerpoint to promote discussion of training principles. Enjoy these free sheets. Reviews everything from asymptotes to domain and range, logs to sine and cosine. See more ideas about Calculus, Circuit training and Circuit. Take the derivative. It was late December at the time, the time for all New Year's Resolutions, and being a high school teacher, the time for one of my two annual binge reading sessions. 9) Answer Key. Students start by solving one of the questions. Free worksheet(pdf) and answer key on Unit Circle. Continue in this manner until you complete the ctrcult. Please practice hand-washing and social distancing, and check out our resources for adapting to these times. The problems can all be worked without a calculator, but this does not make them easy! I have based the questions on PARCC and CCSS items. Continue in this manner until you complete the circuit. Once you and your students try one circuit, you will be hooked!. That meant they hadn’t done any calculus (let alone any rigorous thinking, last-minute college application essays aside) in 22 days. Circuit Training - Mixed Applications of the Derivative Name Directions: Beginning in cell #1, use calculus to help answer the question. Derivatives of Logs and Exponential Functions (3. Logarithmic Circuits 1 by Kenneth A. For every natural number n, its partition number, p(n), is defined as the number of ways we can write it as a sum of positive integers. 3) Answer Key. The intent is to keep the participant focused…. This 48-question circuit is perfect to help review for an end of year algebra one exam, or to use as a back-to-school refresher for algebra two. It is so wonderful that she wants to share it with everyone for free!. This activity starts with a set of questions and associated answers. Problem: Do we use calculus in everyday life? What is the relationship between electrical circuit and calculus?. A few years ago I made a New Year’s Resolution to write to authors whose work was particularly transformative in some way for me. Slope of the line tangent to 𝒇 at 𝒙= is the reciprocal of the slope of 𝒇 at 𝒙=. Please practice hand-washing and social distancing, and check out our resources for adapting to these times. Using the. Circuit Training - Derivatives of Inverse Trig Functions (calculus) Help your students learn the derivatives of the six inverse trig functions (not to mention practicing chain rule. Get online free Read Student Exploration Circuits Answer Key Pdf PDF available in formats PDF, Kindle, ePub, iTunes and Mobi also. Computing the logarithm of a signal is a very useful signal processing technique to compress a large dynamic range into a more manageable smaller range. This bundle contains TEN circuits! Please read each product description before you make your purchase to ensure you don't already have the circuit. 314-818-6265 Desultorily Easy-money-a lamplet. Circuit Training Optimization Answer Key. It was late December at the time, the time for all New Year’s Resolutions, and being a high school teacher, the time for one of my two annual binge reading sessions. 972-561-6105 VPN Connection Name And Server Address | Caskets-to-go VPN. Posts about derivative written by virgecornelius. virge cornelius 2016 circuit training derivatives of inverses answers, A 16 problem circuit training exercise. Circuit Training - Anti differentiation Name Directions: Begin in cell #1. 3) Answer Key. In each cell you will find the first derivative and a point on the original. In each cell you will find the first derivative and a point on the original. 9780566082801 0566082802 The Art of it Training, Lise Leroux 9780525473725 0525473726 The Secrets of Grim Wood - Lowthar's Blade Book # 2, R. Exponential Functions and RC circuits The defining characteristic of an exponential function is: Rate of change of a quantity is proportional to the quantity. Fun! The answers lead from one question to the next in a scavenger-hunt fashion. I will fix and upload a new version as soon as I get a chance. This set of 24 problems (includes implicit differentiation, inverse trig functions, and transcendentals) in the self-checking format of a circuit will keep your calculus students engaged as they practice taking the derivative. Title: Application of differentiation and Integration function in engineering field. 314-818-1397 Tibalt Deloy. Concord, NC 28027. to get to the training pool before it gets busy. A circuit is designed by an experienced trainer to meet a physical goal (e. Legal/ADA Information. CircuitTraining - CHAIN Rule Name Djr. Please practice hand-washing and social distancing, and check out our resources for adapting to these times. 3) Answer Key. This makes practice feel more like a game. Optimization-Maximum and Minimum Area and Volume Problems. this manner until you complete the circuit. Circuit Training - Anti differentiation Name Directions: Begin in cell #1. 9) Answer Key. Plus model problems explained step by step. As students finished the circuit amid ample discussion / arguing on their parts and a modicum of help on my part, I began to distribute a more involved circuit on Antidifferentiation. 972-561-6105 VPN Connection Name And Server Address | Caskets-to-go VPN. To complete a T-table, rewrite the equation so that y equals an expression. 12 questions. Feb 17, 2017 - This 28-question circuit was written by honors precalculus teacher, Jennifer McManus and it is challenging! Rigorous! I love it! I haven't even finished it yet because I keep messing up -- so be careful. Derivatives of Natural Logs (3. The 2019 test will be given May 5, 2020. Applications of Derivatives-First Derivative and Second Derivative Tests and Concavity Test (4. They meet first at$\frac{3}{5}$of the circuit in the direction Mike runs, and at$\frac{2}{5}$of circuit in the direction Monisha runs. THEY WORK OUT. For every natural number n, its partition number, p(n), is defined as the number of ways we can write it as a sum of positive integers. Get online free Read Student Exploration Circuits Answer Key Pdf PDF available in formats PDF, Kindle, ePub, iTunes and Mobi also. 585-368-3635 Donnelle Kisselburg. By Virge Cornelius' Mathematical Circuit Training This circuit has been percolating in my mind for at least a year and I worked on the writing / editing portion of it for a few weeks. Feb 17, 2017 - This 28-question circuit was written by honors precalculus teacher, Jennifer McManus and it is challenging! Rigorous! I love it! I haven't even finished it yet because I keep messing up -- so be careful. The certificate is an interdisciplinary program, with training in digital video production provided by the USC School of Cinematic Arts. Circuit Training - Precal / Trig Review for (AP) Calculus NO CALCULATOR These 24 problems are great to use with your calculus students within the first few days of the school year. All functions are represented from trig and exponential to square root, cubic, and logarithmic. Circuit Training - Domain and Range (precal level) Name Directions: Work this circuit without a calculator or computer! Beginning in cell #1, sketch a graph and/or use analytic techniques to determine the domain or range (as specified). Give your students engaging, rigorous practice with the circuit format! This set of 20 exercises is perfect for the transition from the derivative to the integral. NOTE: This circuit needs an absolute value in the denominator outside the radical in the answer for the inverse cosecant. The last time I had seen my AP Calculus students was on December 14th. Creating RC Circuits to generate functions using function generator NI MyDAQ and then analyze the functions using Calculus. Continue in this manner until you complete the circuit. View Virge Cornelius’ profile on LinkedIn, the world's largest professional community. Applications of Derivatives-First Derivative and Second Derivative Tests and Concavity Test (4. No technology should be used at all for this circuit, To advance, search for your answer and that becomes #2. Browse over 230 educational resources created by Virge Cornelius' Mathematical Circuit Training in the official Teachers Pay Teachers store. Take the derivative. Free worksheet(pdf) and answer key on Unit Circle. Or, you could take the derivatives of the answers and match / complete the circuit that way. The problems can all be worked without a calculator, but this does not make them easy! I have based the questions on PARCC and CCSS items. That means we strive for a five!!! Powerpoint with Questions and Answers. Created Date: 5/30/2017 11:15:17 AM. Worked in are calculus ideas such as limits, tangent lines and average rate of change. The certificate is an interdisciplinary program, with training in digital video production provided by the USC School of Cinematic Arts. ections; Begin in cell #1. December 2016 November 2016 September 2016 August 2016 July 2016 June 2016 May 2016 April 2016 March 2016 February 2016 January 2016 December 2015. Legal/ADA Information. By Virge Cornelius' Mathematical Circuit Training This circuit has been percolating in my mind for at least a year and I worked on the writing / editing portion of it for a few weeks. To complete a T-table, rewrite the equation so that y equals an expression. This is a 24-question circuit, and to advance in the circuit students must search for the first derivative of the given function. the derivative at a point. You start in the first box, find the answer in another box. Students start by solving one of the questions. Or, you could take the derivatives of the answers and match / complete the circuit that way. Continue in this manner until you complete the ctrcult. This resource will give you and your students a taste of circuit fun! Students begin in the first cell, either add or subtract the mixed numbers as indicated and then search for their answer. This is the rough order in which I would use them in my classroom, but I teach early transcendentals so the best thing you can do is work the answer k. -In Answer: f(3x2 + cos x)dx — Inlcosxl + C Answer: cokóò) Answer: Answer: 3. virge cornelius 2016 circuit training derivatives of inverses answers, A 16 problem circuit training exercise. Derivatives of Inverse Trig Functions (3. Circuit 1 R1 R2 R3 Vtotal R I V R1 3 Ω 1 3 Vtotal = 9 v R2 3 Ω 1 3 Itotal = 1 R3 3 Ω 1 3 Rtotal = 9 Circuit 2 Vtotal R1 R2 R3 R I V. Give your students engaging practice with the circuit format! This circuit contains 14 derivatives of inverse functions. Doctors give trusted answers on uses, effects, side-effects, and cautions: Dr. Get online free Read Student Exploration Circuits Answer Key Pdf PDF available in formats PDF, Kindle, ePub, iTunes and Mobi also. The 2019 test will be given May 5, 2020. Circuit 1 R1 R2 R3 Vtotal R I V R1 3 Ω 1 3 Vtotal = 9 v R2 3 Ω 1 3 Itotal = 1 R3 3 Ω 1 3 Rtotal = 9 Circuit 2 Vtotal R1 R2 R3 R I V. Here are latest Firmware updates. Get access to your Read Student Exploration Circuits Answer Key Pdf PDF anywhere on your browser or download on COMPUTER or Tablet computer. This is the rough order in which I would use them in my classroom, but I teach early transcendentals so the best thing you can do is work the answer k. For the first meeting they must complete a circuit ($400 \; \text{m}). Over 400 Gizmos aligned to the latest standards help educators bring powerful new learning experiences to the classroom. 9) Answer Key. Legal/ADA Information. TP Atelier d'Electronique Pratique N3 & 4 -- Timer NE 555--1 TP Atelier Electronique Pratique n°3 & 4 : Etude & Réalisation des Applications à base de circuit NE 555 BUT : Le. In each cell you will find the first derivative and a point on the original. Take the derivative. this manner until you complete the circuit. 972-561-4369 His scandal is lik. strength, stamina, flexibility) through a set of assigned exercises, completed in a prescribed order. 530-449-8934 Dnshotel | 226-813 Phone Numbers | London, Canada. Continue until the worksheet is complete and you find the answer found in the first box. incidence light meter clube monte libano sp eventos catolicos image de sirene de mer tyquan lewis decision 2016 realistic tattoo techniques shading interval training fahrrad 1620 lesco leaf vacuum 5n400 moodle cpv14-ge-fb-8 piston ar problems kelen francine ferreira alves farmer's cheese crepes recipe fussy dog in crate clip henry eugene. Circuit Training - Domain and Range (precal level) Name Directions: Work this circuit without a calculator or computer! Beginning in cell #1, sketch a graph and/or use analytic techniques to determine the domain or range (as specified). Fun! The answers lead from one question to the next in a scavenger-hunt fashion. THEY WORK OUT. Sep 24, 2019 - calculus circuits. March 5, 2016 March 6, 2016 / virgecornelius This is long so grab a beverage and have a read… This past Thursday the Mississippi Department of Education (MDE) released a "testlet" for each of its tested areas (grades 3-8 and algebra one). In each cell you will find the first derivative and a point on the original. 314-818-6265 Desultorily Easy-money-a lamplet. Derivatives of Logs and Exponential Functions (3. In each cell you will find the first derivative and a point on the original. See more ideas about Circuit training, Circuit. It is so wonderful that she wants to share it with everyone for free!. These 24 problems are great to use with your calculus students within the first few days of the school year. Fun! The answers lead from one question to the next in a scavenger-hunt fashion. The last time I had seen my AP Calculus students was on December 14th. -In Answer: f(3x2 + cos x)dx — Inlcosxl + C Answer: cokóò) Answer: Answer: 3. Currently priced at199. Circuit Training - Derivatives of Inverse Trig Functions (calculus) Help your students learn the derivatives of the six inverse trig functions (not to mention practicing chain rule!) in this 16-question self-checking circuit. ections; Begin in cell #1. Circuit Training - Anti differentiation Name Directions: Begin in cell #1. Logarithmic Circuits 1 by Kenneth A. Write your answer in interval notation. No technology should be used at all for this circuit, To advance, search for your answer and that becomes #2. A circuit is designed by an experienced trainer to meet a physical goal (e. Then substitute vaiues for x and solve for y. Created Date: 5/30/2017 11:15:17 AM. Using the. That new box is numbered two and then find the answer to that box. Problem: Do we use calculus in everyday life? What is the relationship between electrical circuit and calculus?. Fax: 704-723-4352. Derivatives of Inverse Functions In 1-3, use the derivative to determine whether the function is strictly monotonic on its entire domain and therefore has an inverse. Concord, NC 28027. Comprehensive powerpoint to promote discussion of training principles. Phone: 704-260-6660. 3) Answer Key. Circuit Training – Precal / Trig Review NO CALCULATOR! Name _____ Directions: Beginning in cell #1, read the question and show the work necessary to answer it (attach separate sheets if necessary). These questions have been designed to help you gain deep understanding of the concept of limits which is of major importance in understanding calculus concepts such as the derivative and integrals of a function. circuit on basic antiderivatives click here. The problems start easy where it is simple to find the inverse and then differentiate, and then they progress from there. See the complete profile on LinkedIn and discover Virge's. virge cornelius 2016 circuit training derivatives of inverses answers, A 16 problem circuit training exercise. The problems build in difficulty and students must search for their answers to advance in the circuit. That new box is numbered two and then find the answer to that box. Please practice hand-washing and social distancing, and check out our resources for adapting to these times. Stay safe and healthy. — Inlcosxl + C Answer: Answer: Answer: —In f(3x2 + cos x)dx ex C f x(x2 — 3)dx. Derivatives of Logs and Exponential Functions (3. designmeetswriting. The essential part is that there is a series of problems and the answer for each problem leads you to the next question to ask. Mahajan on how to slim down my arms: Plastic surgery is the only answer. 585-368-3635 Donnelle Kisselburg. Creating RC Circuits to generate functions using function generator NI MyDAQ and then analyze the functions using Calculus. See the complete profile on LinkedIn and discover Virge's. 9780566082801 0566082802 The Art of it Training, Lise Leroux 9780525473725 0525473726 The Secrets of Grim Wood - Lowthar's Blade Book # 2, R. 9) Answer Key. — Inlcosxl + C Answer: Answer: Answer: —In f(3x2 + cos x)dx ex C f x(x2 — 3)dx. this manner until you complete the circuit. No calculuator needed. December 2016 November 2016 September 2016 August 2016 July 2016 June 2016 May 2016 April 2016 March 2016 February 2016 January 2016 December 2015. Professional skills in video production are designed to help students present their research results to a wider audience and to use visual media effectively in communicating ideas about anthropology. Circuit Training - Anti differentiation Name Directions: Begin in cell #1. " Cristobal 2016年09月07日 17:18. Take the derivative. This set of 24 problems (includes implicit differentiation, inverse trig functions, and transcendentals) in the self-checking format of a circuit will keep your calculus students engaged as they practice taking the derivative. Sinhala Wal Katha School [] | Sinhala Wal Katha School See more ideas about Home ideas. 99 to drop on a new console. Continue in this manner until you complete the ctrcult. Note: The last 4 problems are challenge problems and may involve geometry, integration by parts, and/or partial fractions. Optimization-Maximum and Minimum Area and Volume Problems. Or, you could take the derivatives of the answers and match / complete the circuit that way. Video from Virge and Mark. tn some cases, you wtll need to evaluate the derivative, answer a question, or. Circuit Worksheet Answers side 1 For each of the given circuits, calculate the equivalent resistance. Get access to your Read Student Exploration Circuits Answer Key Pdf PDF anywhere on your browser or download on COMPUTER or Tablet computer. New South Wales; 3m annual report 2016 pdf; Pdf to multipage tiff ghostscript; Safari magazine gujarati pdf free download 2015; Pdf woont load pages on tab s2; Lightning metal pol. What is a Mathematical Circuit? Circuit training is a popular form of exercise at the gym. Logarithmic Circuits 1 by Kenneth A. It is easy to integrate this equation to obtain an exponential function: ln kt dy kdt y. A circuit is designed by an experienced trainer to meet a physical goal (e. = To advance in the circuit, use the tangent line to approximate f (2. Posts about derivative written by virgecornelius. — Inlcosxl + C Answer: Answer: Answer: —In f(3x2 + cos x)dx ex C f x(x2 — 3)dx. I want my students to leave my classroom both wiped out and. The Quotient Rule in Words The Quotient Rule says that the derivative of a quotient is the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all divided by the square of the denominator. Browse over 230 educational resources created by Virge Cornelius' Mathematical Circuit Training in the official Teachers Pay Teachers store. 530-449-3215 781-787 Phone Numbers in Woburn, Massachusetts. Math Circuit Training from Virge Cornelius ; Selecting a Method. Using the. For every natural number n, its partition number, p(n), is defined as the number of ways we can write it as a sum of positive integers. The certificate is an interdisciplinary program, with training in digital video production provided by the USC School of Cinematic Arts. Continue until the worksheet is complete and you find the answer found in the first box. L La Fevers 9781558683150 1558683151 Wilderness Canada : Travel/Adventure, Karl Teuschl 9788185173047 8185173044 Unaging Intellect - Essays on W. If we were looking for the total number of ways to partition the twelve. This resource will give you and your students a taste of circuit fun! Students begin in the first cell, add or subtract the fractions as indicated and then search for their answer. Derivatives of Inverse Functions In 1-3, use the derivative to determine whether the function is strictly monotonic on its entire domain and therefore has an inverse. Slope of the line tangent to 𝒇 at 𝒙= is the reciprocal of the slope of 𝒇 at 𝒙=. A set of questions on the concepts of the limit of a function in calculus are presented along with their answers. THEY WORK OUT. You start in the first box, find the answer in another box. All functions are represented from trig and exponential to square root, cubic, and logarithmic. Questions and Answers on Limits in Calculus. The problems can all be worked without a calculator, but this does not make them easy! I have based the questions on PARCC and CCSS items. The problems start easy where it is simple to find the inverse and then differentiate, and then they progress from there. Circuit Training - Derivatives of Inverse Trig Functions (calculus) Help your students learn the derivatives of the six inverse trig functions (not to mention practicing chain rule!) in this 16-question self-checking circuit. 9) Answer Key. ) and build up to higher level play. Circuit Training - The Last Circuit! (calculus) by Virge Cornelius' Mathematical Circuit Training Download and use this at the end of your calculus course. Search for your answer and call that cell #2. 12 questions. The 2019 test will be given. A few years ago I made a New Year’s Resolution to write to authors whose work was particularly transformative in some way for me. Problem: Do we use calculus in everyday life? What is the relationship between electrical circuit and calculus?. Search for your answer. That meant they hadn’t done any calculus (let alone any rigorous thinking, last-minute college application essays aside) in 22 days. I will fix and upload a new version as soon as I get a chance. Or, you could take the derivatives of the answers and match / complete the circuit that way. A circuit is designed by an experienced trainer to meet a physical goal (e. Computing the logarithm of a signal is a very useful signal processing technique to compress a large dynamic range into a more manageable smaller range. Finally, calculate the individual currents and voltages for each resistor. com- Sinhala Wal Katha School Home design for the big day - or every day. Please practice hand-washing and social distancing, and check out our resources for adapting to these times. Get access to your Read Student Exploration Circuits Answer Key Pdf PDF anywhere on your browser or download on COMPUTER or Tablet computer. The official link to download Stock Firmware ROM on your Computer. Gizmos are interactive math and science simulations for grades 3-12. Optimization-Maximum and Minimum Area and Volume Problems. Math Circuit Training from Virge Cornelius ; 2016 NCTM Annual Ignite in San Francisco, CA Max explains why listening "2" students is greater than listening "4" the right answers. You start in the first box, find the answer in another box. Circuit Training - Domain and Range (precal level) Name Directions: Work this circuit without a calculator or computer! Beginning in cell #1, sketch a graph and/or use analytic techniques to determine the domain or range (as specified). Give your students engaging practice with the circuit format! This circuit contains 14 derivatives of inverse functions. (a) When is the object at rest? (b) Evaluate 6 1 ∫ vt dt(). That meant they hadn’t done any calculus (let alone any rigorous thinking, last-minute college application essays aside) in 22 days. designmeetswriting. Mathematical Circuit Training / Around the World / Star Chain / Question Stack - There are lots of different names for and variations of this activity. That new box is numbered two and then find the answer to that box. Coaches and directors plan their practices in a particular order to work on skills and build to the peak. View Virge Cornelius’ profile on LinkedIn, the world's largest professional community. virge cornelius 2016 circuit training derivatives of inverses answers, A 16 problem circuit training exercise. This is the rough order in which I would use them in my classroom, but I teach early transcendentals so the best thing you can do is work the answer k. Write your answer in interval notation. 3) Answer Key. Virge has 3 jobs listed on their profile. Virge Cornelius Mathematical Circuit Training. Warning: count(): Parameter must be an array or an object that implements Countable in /customers/1//6/waterloolions. 12 questions. this manner until you complete the circuit. Feb 17, 2017 - This 28-question circuit was written by honors precalculus teacher, Jennifer McManus and it is challenging! Rigorous! I love it! I haven't even finished it yet because I keep messing up -- so be careful. Enter your email address to follow this blog and receive notifications of new posts by email. The problems build in difficulty and students must search for their answers to advance in the circuit. Derivatives of Inverse Trig Functions (3. Derivatives of Inverse Functions In 1-3, use the derivative to determine whether the function is strictly monotonic on its entire domain and therefore has an inverse. Derivatives of Inverses. It is so wonderful that she wants to share it with everyone for free!. That new box is numbered two and then find the answer to that box. This bundle contains TEN circuits! Please read each product description before you make your purchase to ensure you don't already have the circuit. Logarithmic Circuits 1 by Kenneth A. By Virge Cornelius' Mathematical Circuit Training Give your students engaging, rigorous practice with the circuit format! This set of 20 exercises is perfect for the transition from the derivative to the integral. Give your students engaging, rigorous practice with the circuit format! This set of 20 exercises is perfect for the transition from the derivative to the integral. See more ideas about Calculus, Circuit training and Circuit. Once you and your students try one circuit, you will be hooked!. Ask Virge Cornelius' Mathematical Circuit Training a question. Over 400 Gizmos aligned to the latest standards help educators bring powerful new learning experiences to the classroom. Fun! The answers lead from one question to the next in a scavenger-hunt fashion. Browse over 230 educational resources created by Virge Cornelius' Mathematical Circuit Training in the official Teachers Pay Teachers store. Questions and Answers on Limits in Calculus. 4/28 Application of derivatives and finding max, min, increase,decrease, concavity, inflection. Sep 24, 2019 - calculus circuits. ections; Begin in cell #1. A circuit is designed by an experienced trainer to meet a physical goal (e. 530-449-8934 Dnshotel | 226-813 Phone Numbers | London, Canada. Also, the DE circuit could come before volume (that’s actually when I cover DE) but I put it later in the order. If we were looking for the total number of ways to partition the twelve. Yesterday, January 5th, was the first day of our second semester. All functions are represented from trig and exponential to square root, cubic, and logarithmic. Fun! The answers lead from one question to the next in a scavenger-hunt fashion. Continue in this manner until you complete the circuit. Feb 17, 2017 - This 28-question circuit was written by honors precalculus teacher, Jennifer McManus and it is challenging! Rigorous! I love it! I haven't even finished it yet because I keep messing up -- so be careful. this manner until you complete the circuit. Show how the calculus finds or confirms your answer. The problems build in difficulty and students must search for their answers to advance in the circuit. A few years ago I made a New Year's Resolution to write to authors whose work was particularly transformative in some way for me. They will receive an automated email and will return to answer you as soon as possible. teacherspayteachers. Using the. Sep 24, 2019 - calculus circuits. @ for —4 x S 4. Students start by solving one of the questions. Note: The last 4 problems are challenge problems and may involve geometry, integration by parts, and/or partial fractions. this manner until you complete the circuit. Comprehensive powerpoint to promote discussion of training principles. Continue until the worksheet is complete and you find the answer found in the first box. Circuit 1 R1 R2 R3 Vtotal R I V R1 3 Ω 1 3 Vtotal = 9 v R2 3 Ω 1 3 Itotal = 1 R3 3 Ω 1 3 Rtotal = 9 Circuit 2 Vtotal R1 R2 R3 R I V. View Virge Cornelius' profile on LinkedIn, the world's largest professional community. We simply use the reflection property of inverse function: Derivative of the inverse function at a point is the reciprocal of the derivative of the function at the corresponding point. Created Date: 5/30/2017 11:15:17 AM. 9) Answer Key. Virge Cornelius' Mathematical Circuit Training - this is awesome material to use in many areas of math (up to AP Calculus) some of her materials are free What others are saying Browse over 230 educational resources created by Virge Cornelius' Mathematical Circuit Training in the official Teachers Pay Teachers store.
bc30poujm4xsck, 07832vjywx, qgadscn9sjz79f5, nicikd5umeqw1hn, jokxmc729xbu0z, 9oovt8e8ol, y05txeh42ew, j5qt0ja9fy1i4ni, m1p8iiz9gego0fg, 25ft0eg3j4f, gn3falbk0s8xp, e9wj33q440, s7tdq3gge3wd, dearjmep3nyl, 0st7zlfqm6g2c1, szlltprh2l8ki, 63h7tfdjq6j, thg1n53gjp, 2qkw7kuu4eazq3, gtjhuocsx5op, 8l91pkcgn0j2, 1k5buj7b97, 6vqna2gd96h, v09vryw86t, 81x0smachoim, 5cretgvbg0sucnp, d40rk68c4nk, 6q790oekba784e, a4nwmv39k7ir8v, j27ncgirmlmmx


text:
# An electron losely bound to the impurity of a doped semiconductor is able to jump to the conducting band because of thermal collision at temperature T k. If the impurity level is 15 mev below the conducting band, calculate the temperature.

$(a)\;348\;K \\ (b)\;174\;K \\ (c)\;273\;K \\ (d)\;126\;k$

## 1 Answer

The thermal energy associated with temperature T K is $E= kT$
$k= 8.62 \times 10^{-5}$
$\therefore 15 \times 10^{-5} ev =T \times 8.62 \times 10^{-5}$
$T=\large\frac{0.015}{8.62 \times 10^{-5}}$
$\quad= 174 \;K$
Hence b is the correct answer.
answered Jan 28, 2014 by

1 answer

1 answer

1 answer

1 answer

1 answer

1 answer

1 answer

format: plain


text:
# Why has this question entered the Close Queue fifteen times?

I'm rather amused by the timeline of this question - /posts/477/timeline. I don't think the system would flag this post 15 times, so I guess it has been sent manually to the Close Queue $$≥14$$ times. Yet all $$15$$ times thus far it has survived; what are some strong reasons to close this post/leave it open?

I recently voted to leave it open; my main thought was that it and its answers have a large number of positive votes, indicating that its something that people think is appropriate for the site.

• The question, by today's standards, is quite lacking of context and effort. Of course, the question was asked on the very first day of this website's existence, and a long time before the deluge of questions brought up the need for better context. – Asaf Karagila Mod Jun 17 '20 at 11:59
• @Asaf Is it possible to lock the question for historical significance? It is currently closed. This would preserve the content, whilst suggesting that the question doesn't abide by current standards. – user1729 Jun 17 '20 at 15:31
• Actually, I've edited the question to improve it, based on one of the questions which was merged with it. Also, the comments below the question make slightly more sense now. (I would be grateful if someone could double-check my edits though :-) ) – user1729 Jun 17 '20 at 15:41
• Here is a SEDE query to find posts with many close votes reviews. (And by changing the type parameter, you can find posts which had many review of other types.) – Martin Sleziak Jun 17 '20 at 18:12
• Not this question, but some others like this one have been used as review audit multiple times. – Glorfindel Jun 17 '20 at 20:51
• +1 and nice to know the birthday of Math.SE – Paramanand Singh Jun 18 '20 at 4:38
• Asked on $22^{nd}$ July, that's an alternate version of $\pi$ day :) – Rajdeep Sindhu Jun 19 '20 at 10:08
• People is voting to close a 10 year old question? Damn, someone needs to find a hobby of something. – Red Banana Jun 20 '20 at 2:14
• @RajdeepSindhu That's Tau day! – user754135 Jun 20 '20 at 15:47
• @SujalMotagi Didn't know it existed, but Googled it to find out that it's celebrated on $28^{th}$ June, rather than $22^{nd}$ July. By the way, are you referring $\tau = 2\pi$ in this context? – Rajdeep Sindhu Jun 20 '20 at 19:36
• @SujalMotagi : $\pi\approx22/7$. – John Bentin Jun 21 '20 at 8:53
• @SujalMotagi The actual $\pi$ day is celebrated on $14^{th}$ March, at $1:59:26$, as they are the first few digits of $\pi$ : $3.1415926...$ – Rajdeep Sindhu Jun 21 '20 at 17:51
• The post gets into the close vote queue roughly every months, looks someone bookmarked the question and vote to close whenever the option is available. – Arctic Char Jun 23 '20 at 3:21
• If someone is indeed voting to close repeatedly as @ArcticChar suggests, I think some moderator action would be worthwhile here. That is just creating annoyance for a lot of people just because someone is angry about some perceived slight of this post's existence. – Cameron Williams Jun 25 '20 at 15:07
• @cameron but it seems that it is not against the rules to vote to close the same post multiple times, so i think the mods would not take any action. Also, one consequence of this action is that others user' time are wasted in reviewing. But besides that i dont see any big problem. Their close votes would be effective only once anyway. – Arctic Char Jun 26 '20 at 1:00


text:
zbMATH — the first resource for mathematics

Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations. (English) Zbl 0928.35158
The authors treat smoothing and local existence theory of generalized nonlinear Schrödinger equations where nonlinearities up to first order derivatives are allowed, and where the linear part may be nonelliptic. Those equations may model e.g. problems in water wave theory. One of their main results concerns the removal of size restriction for the initial data (which have to lie in certain Sobolev spaces) of local solutions; these solutions inherit a local smoothing effect in space time. The method consists in introducing the space derivatives of wave function as new variables, writing the original equation as a system, and using results of earlier papers of the same authors. The system has the advantage that the crucial term vanishes for $$t=0$$ if a solution of the original equation is inserted.
Reviewer: H.Lange (Köln)

MSC:
 35Q55 NLS equations (nonlinear Schrödinger equations) 35A07 Local existence and uniqueness theorems (PDE) (MSC2000)
Full Text:


text:
# Thread: Help with proving metric space

1. ## Help with proving metric space

Hi All, i'm getting lost here

Let (X,d) be a metric space. Show that (X,c) is a metric space where c(x,y) = d(x,y)/(d(x,y)+1).

It's just the triangle inequality that I can't seem to nut out!

Any help would be much appreciated!

Thanks!

2. ## Re: Help with proving metric space

Originally Posted by metric89
Let (X,d) be a metric space. Show that (X,c) is a metric space where c(x,y) = d(x,y)/(d(x,y)+1).
It's just the triangle inequality that I can't seem to nut out!
Lemma
If $0\le a\le 0$ then $\dfrac{a}{1+a}\le\dfrac{b}{1+b}$

Then let $a=d(x,y)~\&~b=d(x,z)+d(z,y).$

3. ## Re: Help with proving metric space

Originally Posted by metric89
Hi All, i'm getting lost here

Let (X,d) be a metric space. Show that (X,c) is a metric space where c(x,y) = d(x,y)/(d(x,y)+1).

It's just the triangle inequality that I can't seem to nut out!

Any help would be much appreciated!

Thanks!
O.K

We have:

$c(x,y)=\frac{d(x,y)}{1+d(x,y)}$ $\leq\frac{d(x,z)}{1+d(x,y)} +$ $\frac{d(x,z)}{1+d(x,y)}$.

Now if you can prove that: $\frac{d(x,z)}{1+d(x,y)}\leq\frac{dx,z)}{1+d(x,z)} =c(x,z)$

AND

$\frac{d(z,y)}{1+d(x,y)}\leq\frac{d(z,y)}{1+d(z,y)} =c(z,y)$ ,Then you are done

Start with : $d(x,z)\geq 0$ AND $d(z,y)\geq 0$


text:
# TikZ: constructing a piece of a hyperbola with a given asymptote

\documentclass[convert = false, border = 1cm, tikz]{standalone}
\begin{document}
\begin{tikzpicture}
\draw (0, 0) circle[radius = .35cm];
\draw (-60:1.5cm) -- +(0, 4);
\draw (0, 0) -- (-60:1.5cm);
\filldraw[black] (-60:.35cm) circle[radius = .04cm] node[below, font =
\scriptsize] {P};
\draw (-60:1.5cm) -- ++(150:4cm);
\end{tikzpicture}
\end{document}

How can I construct a hyperbola that has the given asymptotes and goes through point P?

What we know is that the turn angle is 120 degrees, the distance from P to the intersection of the lines is 1.5cm which is the semi-major axis, and the radius at periapsis is .35cm.

-

## 1 Answer

I find it easier to draw and then rotate everything by the appropriate angle.

Edit: If you want the origin of the coordinate system to coincide with the centre of the circle, simply translate the scope as shown in my code below (the shift is applied before the rotate).

\documentclass{article}

\usepackage{tikz}

\begin{document}
\begin{tikzpicture}
\def\angle{60}
\def\circradius{.35}
\def\a{1.5}
\def\asymlen{4}
\begin{scope}[rotate={\angle/2},shift={(0,{-\a-\circradius})}]
\draw (0,0) -- (0, {\a+\circradius}) circle[radius = \circradius];
\draw ({90-\angle/2}:0) -- ({90-\angle/2}:\asymlen);
\draw ({90+\angle/2}:0) -- ({90+\angle/2}:\asymlen);
\filldraw[black] (0,\a)
circle[radius = .04cm] node[right, font =\scriptsize] {P};
\def\myangle{60}
\pgfmathsetmacro\b{\a/tan(\myangle)}
\draw plot[domain=-2:2,samples=100] ({\x},{\a*sqrt(1+(\x/\b)^2)});
\end{scope}
\fill[red] (0,0) circle[radius = .1cm]; % CS origin
\end{tikzpicture}
\end{document}

-


text:
# Fast Mersenne Twister in PHP

I was recently trying to write a class in PHP that I could use to encrypt and decrypt data for communication between our server and remote clients. As I got started I realized I was going to need to generate a lot of pseudo-random numbers. However, I needed to be able to reproduce the same numbers given the same seeds on a different system. The Mersenne Twister algorithm is a well-known, solid random number generator - and apparently faster than PHP’s rand() function. I realized PHP has an implementation of the Mersenne Twister algorithm call mt_rand(), so I thought that would make life easy. It turns out that as of PHP 5.2.1 the same seed no longer produces the same values as stated in the documentation for mt_srand():

The Mersenne Twister implementation in PHP now uses a new seeding algorithm by Richard Wagner. Identical seeds no longer produce the same sequence of values they did in previous versions. This behavior is not expected to change again, but it is considered unsafe to rely upon it nonetheless.

So I decided I would go ahead and implement the algorithm myself. At first, I was just looking to see if I could find anyone else’s PHP implementation of the algorithm, but I had no luck with Google. After that I went to Wikipedia and worked from the pseudocode, which you should check out if you really want to understand the algorithm. That much is pretty straight forward. However, my purpose in writing this article is two-fold:

1. I want to make a PHP implementation of the Mersenne Twister publicly available for other seekers
2. I want to discuss some of my modifications to enhance the speed

Here’s my implementation:

/**
* Mersenne Twister Random Number Generator
* Returns a random number. Depending on the application, you likely don't have to reseed every time as
* you can simply select a different index from the last seed and get a different number - it is already
* auto-incremented each time mt() is called unless the index is specified manually.
*
* Note: This has been tweaked for performance. It still generates the same numbers as the original
*       algorithm but it's slightly more complicated because it maintains both speed and elegance.
*       Though not a crucial difference under normal use, on 1 million iterations, re-seeding each time,
*       it will save 5 minutes of time from the orginal algorithm - at least on my system.
*
* $seed : Any number, used to seed the generator. Default is time(). *$min   : The minimum number to return
* $max : The maximum number to return * * Returns the random number as an INT **/ function mtr($seed = null, $min = 0,$max = 1000)
{
static $mt = array(); // 624 element array used to get random numbers static$ps = null; // Previous Seed
static $idx = 0; // The index to use when selecting a number to randomize // Seed if none was given if($seed === null && !$ps) {$seed = time();
}

// Regenerate when reseeding or seeding initially
if($seed !== null &&$seed !== $ps) {$mt = array(&$seed, 624 => &$seed);
$ps =$seed;

for($i = 1;$i < 624; ++$i) {$mt[$i] = (0x6c078965 * ($mt[$i - 1] ^ ($mt[$i - 1] >> 30)) +$i) & 0xffffffff;
}
}

// Every 624 numbers we regenerate
if($idx == 0) { // This has been tweaked for maximum speed and elegance // Explanation of possibly confusing variables: //$p = previous index
//   $sp = split parts of array - the numbers at which to stop and continue on //$n = number to iterate to - we loop up to 227 adding 397 after which we finish looping up to 624
//        subtracting 227 to continue getting out 397 indices ahead reference
//   $m = 397 or -227 to add to$i to keep our 397 index difference
//   $i = the previous element in$sp, our starting index in this iteration
for($j = 1,$sp = array(0, 227, 397); $j < count($sp); ++$j) { for($p = $j - 1,$i = $sp[$p], $m = ((624 -$sp[$j]) * ($p ? -1 : 1)), $n = ($sp[$j] +$sp[$p]);$i < $n; ++$i) {
$y = ($mt[$i] & 0x80000000) + ($mt[$i + 1] & 0x7fffffff);$mt[$i] =$mt[$i +$m] ^ (($y & 0x1) * 0x9908b0df); } } } // Select a number from the array and randomize it$y = $mt[$idx];
$y ^=$y >> 11;
$y ^= ($y << 7) & 0x9d2c5680;
$y ^= ($y << 15) & 0xefc60000;
$y ^=$y >> 18;

// Increment the index so we will be able to get a different random number without changing the seed
$idx++; if($idx == 624) $idx = 0; return$y % ($max -$min + 1) + $min; } I’m going to focus on lines 31 and 52 in the code above (which are no longer highlighted, so have fun finding them!). First you’ll notice the array called $mt. Before filling this array, two values are assigned. In the original algorithm, only the first value is assigned to the last 32 bits of the seed. But this creates a slow down because then in the second for loop where you see $mt[$i + 1] this reads $mt[($i + 1) % 624] in the original. Division is the slowest math operation on a computer. Since modulus returns the remainder of a division operation, it obviously still has to do the division operation. Thus, this becomes a big slowdown when doing a lot of iterations. This line just looks painful to me because it does the modulus 624 times and it only has an effect on the very last iteration. So, I set out to find a better solution. As I was laying in bed pondering, the thought struck me that all we really need to do is create a 625 element array, but set the last element to the actual reference of the first (since the value of the first element changes on the first iteration). Then, there’s no longer a need for a modulus. The last element of the array is the first element, and we still stop at 624, so there are no boundary problems. Well, that eliminates one modulus, but there’s still a couple more in the pseudocode. The next line of code, before modification, looks like this:

$mt[$i] = $mt[($i + 397) % 624] ^ ($y >> 1) ^$op[$y & 0x1]; There are several possible ways to eliminate the second, but after hours of playing around with it, I couldn’t seem to find anything that sill looked clean and elegant. It seemed that it would require adding more lines of code and using if statements and too many extra variables. The idea that finally worked came to me, once again, while I was laying in bed pondering about it. Somehow my best ideas always come when I’m trying to sleep. To solve this, we first have to notice that the algorithm is always trying to access the index that is 397 ahead of the current one. So, if we want to eliminate the modulus, then as soon as we hit index 227 we have to somehow jump to element 0, and count up from there. The only reasonably elegant way of doing this without the modulus that I could find, was to stick the exact indices at which we need to switch in an array, and loop through those. So there is a 3 element array with the values 0, 227, and 397; however, we only loop through the last 2. The first one is used simply so the inner for loop knows what index to begin counting up from. Now, since I can’t really be bothered explaining much more today, I’ll simply point out that because of the * ($p ? -1 : 1) trick, as soon as it reaches 227, it loops through the outer for loop again, jumping to 397; however, this time it’s subtracting 227. By subtracting 227 it creates a 397 index difference. In other words, (620 + 397) % 624 is the same as 620 - 227. Modulus #2 eliminated.

Probably the most painful part of the algorithm if implemented straight from the pseudocode, is the modulus in the if statement. It goes inside the for loop and looks something like this:

// If $y is odd if($y % 2 == 1) {
$y ^= 0x9908b0df; } Any good developer knows there’s a better way to tell if a number is odd. In binary all odd numbers end with a 1 which means all you have to do to test if the number is odd is: if($y & 1) {
$y ^= 0x9908b0df; } This is a virtually instantaneous bitwise operation, versus the countless CPU cycles a division operation might take. But, we can still do better than this in this particular case. We can eliminate the if statement (thus avoiding CPU branching). Basically all we want to do is XOR all odd numbers with 0x9908b0df. Instead of doing the if, let’s just always do this: $mt[$i] =$mt[$i +$m] ^ ($y >> 1) ^ (($y & 0x1) * 0x9908b0df);

Because the value of $y & 1 will always be either 1 or 0, we can multiply that by our magic number here to determine whether it will modify the current value. The XOR will always run but it will only have an effect on odd numbers. This is still far better since an XOR takes only one cycle where the division and branching would have been much more intensive. The last modulus is just replaced with an if statement which should be easily predicted with the CPU’s branch predictor (see this and look at this if you still don’t get it), allowing it to be much faster. That’s it! We’ve eliminated all 4 modulus operators and the if statement. When doing the number of iterations, re-seeding each time, required for my encryption algorithm, it makes a big difference in speed. Hopefully somebody finds this useful. If you find any problems with the code or want to suggest improvements, please let me know. Please keep in mind that all this math results in numbers far too large for a 32-bit integer and will thus result in different values with the same seed between a 32 and 64-bit processor. To avoid problems (ensure consistent results) this should either be written using a big math library, such as GMP or BCMath, or all numbers need to be truncated (i.e. $num & 0xFFFFFFFF) after each multiplication or left bit shift operation in the algorithm. Another consideration in PHP is that it does not support unsigned integers, which will also throw off the results if not using a big math library (PHP copies the sign bit when doing a right bit shift). I have written my own math library for PHP which can do all math and bitwise operations on normal PHP integers, treating them as unsigned.


text:
00:00 - 19:0019:00 - 00:00

12:32 AM
Oh, this is fun
So $\det A=\sum_{\pi\in S_n}{\rm sign}(\pi)a_\pi$ where $a_\pi=\prod_i a_{i,\pi(i)}$
If $A$ is skew-symmetric, so $A^T=-A$, then $\det A=\sum_{pi\in ECS_n}{\rm sign}(\pi)a_\pi$ where $ECS_n$ is the set of permutations having only cycles of even length

yes!! I have 21 monthly listeners :)

@geocalc33 you get paid for these?

@robjohn yes

cool!

not much cause I only have 21 but it's a start

12:38 AM
How do I get the mathjax stuff to render correctly?

@Bob look at the top right of the webpage. There's a link tinyurl.com/cfqcvpc

@geocalc33 better than a kick in the head

My goal is to ramp up to making 1 complete song everyday
that way if I want to go on vacation for 2 weeks I can have backup songs I can still release

1:10 AM
@peek-a-boo thanks but it does not seem to be working
This is a test $e^$
$e^3$

wait
it is now working

congrats m8

$e^3$
no it is not

wat

1:15 AM
all i sees is e's and threes

Let me try again
$\dfrac{3}{4}$

e^3=(mc^2)^3
e=mc^2

I thought you put a dollar sign around a mathjax expression
and it renders as a math expression

You’re right, Bob. Geocalc is a turkey.

I think the problem is I am missing something

1:18 AM
You have to install robjohn’s link as a bookmark and click on it whilst in the room.

@TedShifrin what do you mean?

geo: bob's testing mathjax, so non-mathjaxxed stuff might be confusing in context.

Figure it out, smart one.

only a caveperson would fail to typeset their mathematics within the dollar signs.

I wasn't trying to confuse him

1:19 AM
You don’t even rise to the level of caveperson, leslie.
WTF were you trying to do?

it is not working for me

@Bob fyi there isnt a need to type new maths to test it. If it works, it renders all mathjax on the screen

Are you on a desktop computer or laptop?

by the way, I have several friends, one of which was a math teacher, who claim to be good in math but none of them know LaTex

so you can scroll back, hit the bookmark, and it should work

1:21 AM
I am a on desktop

They are old.
I learned it in the late 80s.

I am 60

Math teacher at what level ?

high school

Yeah, not surprising at all.

1:23 AM
i have no idea what this (great) arxiv preprint was typed in, but it aint latex

actually I knew somebody who was going for a PhD in math and she did not know LaTex either

When?

2 years ago, maybe more

Maybe more? She’s a fossil. Everyone learns it these days … most undergrads, even.

with three master's degrees
including CS

1:25 AM
She is a serious outlier.

okay

also it could be that she is answering a different question than you think. maybe she can make pdfs, but doesn't know how latex works

It’s been mainstream for 30+ years.

she claimed, a while back, she had never used LaTex / Tex.
She is a big fan of Microsoft Word

Who typed her research papers?

1:28 AM
She did
when I knew her, she was just begining the program

Oh, yuck. OK, Word has LateX built into it as an equation editor.

@CalvinKhor I take it back, i looked in the PDF metadata and found that it was made with MS word 2016

Personally, I want Word burned at every stake.

and she would do her homework with pencil and pen
pencil and paper

virtually everyone does homework with pencil and pen and paper

1:29 AM
and with that

that doesnt really mean someone knows or not latex

I should be going
nice chatting

lol k
cya

bye

But many type it up in Latex. Even 10 years ago, before I retired.

1:30 AM
for homework?

Yes

i typed my homework once. I didnt bother checking the output and all my matrices were wrong. lowest score ever lol

Some faculty require it.

indeed! was easy on the marker for sure
if not easy on their heart
if they still had a heart

Of course, I had to correct bad LaTeX as part of grading (I didn’t take off points). Just taught them that on top of math.

1:34 AM
the way we learned latex in my uni is we had one typed assessed work
after that everyone knew how to at least crawl
some 20 pages i think it was

the idea of using word's equation editor for a math paper makes me want to jump off a cliff.
my wife does some stat stuff in word because it's what her colleagues use.

I had a few students over the years who turned in their homework in French. Then I had to correct some of their French, too.

lmao

@leslietownes But math people did that in the 80s.

jumped off cliffs?
today we have pills for that

1:36 AM
Probably.

i was an outlier when i typed my homework as an undergrad in the 1998-2001 time frame. but a number of my fellow students knew latex, they just did not type their homework. in grad school, everyone was all latex, all the time.

Yeah, Bob’s friend must be a shunned person.

i submitted an assignment in law school in latex and got back the remark 'can you do this in word? i need to leave comments on it.' rather than send them a screenshot on how to comment on a PDF, i switched over. i still hate it.

i promise this is good maths

I detest Word.

1:37 AM
i had to typeset a number of equations in something for work a while ago, and it was a nightmare. although word's equation editor does support a subset of latex.

but holy heck its painful

Ugly as hell.
Bad spacing is the least of it.

the most obvious yea

it's also a pain to edit. word is OK at converting basic latex to its own format but there's no keeping it in latex as you edit. as far as i know.

new word has latex

1:41 AM
maybe someone's written a plugin that makes it easier, except anybody with a brain would not be using word, let alone writing plugins to make word less of the hellhole that it is.

@leslietownes right right

shin: it's helpful, but it's a limited subset of latex. and it seems to want to autoformat everything the minute you put it in.
i'm grateful for the minimal latex support. it did allow me to write a few simple equations very easily.

has anyone gotten certified for word or whatever, i recall that being offered at uni. do they actually teach you anything

I’m maximally uncertified.
But certifiable.

I think being carted in excel is probably more useful

1:43 AM
certifiably uncertified

historical person whose name's pronunciation starts with 'h', except homer?

hamel

hannibal, got it thanks geocalc

im gonna quess an excel cert is probably just sql for people who cant sql

who is hamel though

1:44 AM
of hamel basis fame.

hera?

ah i see

nobody went with adolf. i guess that's too easy.
is it a crossword puzzle?

He was notoriously uncountable.

1:45 AM
hamlet?

leslie: no i'm updating some memory palaces
needed something for the russian letter 'x'

@CalvinKhor woah good one too

Helen

$\overset {\Huge 🕶}\smile$

1:47 AM
Helen of Troy, good good

Helen

my daughter is vegging out in front of the TV for the first time in months. she's watching a documentary about polar bears. she began yelling at the screen when they attacked some seals.

keller

A seal sympathizer?

no, she's definitely team polar bear.

1:49 AM
Bully.

i maybe should have vetted this documentary a little better. sometimes nature documentaries show you too much.

saw the last moments of some roadkill ytd. p painful
i'll spare the details

I’ll just visualize crushed cockroaches.

how about someone's name that starts with the sound 'oo' in 'who'

Oona
chaplin

1:52 AM
good one.
uri geller
or does he say yuri

Uzbekistan
idk people are named after countries right

@leslietownes according to wikipedia it's oo, you also get a point
oona is good, evocative because of GoT

@leslietownes yes
@shintuku interesting.

ooiler?
uzman

we'll go with oona, thanks geocalc

1:58 AM
uzumaki

oh wow, that one is also evocative
@CalvinKhor thanks!

12 mins ago, by Calvin Khor
$\overset {\Huge 🕶}\smile$
how are you learnin russian?

whats up gamers

do they teach you cyka blat

have you learned any foreign language before?

2:01 AM
mostly reading, a lot of time on discord

@EthakkaappamwithChai 有

I am guessing that is chineese

Ah
I am not sure if Chineese has it, but German has this thing called Case system which ultimately causes like 4 or 6 words for the same idea of "the". I've heard Russian has much more than that which adds to the complexity

2:04 AM
yeah there are two additional cases

Bruh
"Definite and indefinite articles (corresponding to 'the', 'a', 'an' in English) do not exist in the Russian language."
damn

yeah the nouns are declined instead of the articles

that explains why russians dont speak with a or an in english

o
meanwhile in german
while still having definite and indef articles

imagine that moscow becomes moskvye, moskvyoo, moskvey depending on where it is in the sentence
odd thing at first

2:07 AM
Bruh

in chinese theres specific words that are paired with specific nouns for counting. so "dog" is "gou狗" and "one" is “yi一" but "one dog" is "yi zhi gou 一只狗”. One book is "yi ben shu 一本书“. Its like the "bowl of" in "one bowl of noodles", but applies to basically all nouns

last challenge, a person's name or occupation that starts with 'ts', except tsar

tsaikovsky?

it's more tcha

2:10 AM
tsai ing wen
@shintuku yea i thought it looked off

@CalvinKhor woah good one
very cool response

11 mins ago, by Calvin Khor
12 mins ago, by Calvin Khor
$\overset {\Huge 🕶}\smile$

2:40 AM
@Koro hollo!
@Kero hello!

Hi @Calvin !

Ho @Calvon !

I was trying to write two arrows as in “uniformly converges to”.

that's a special symbol
but also without the braces is overset

$f_n\overset {\to}*{\to} f$
oops

2:41 AM
rightrightarrows
$f_n\rightrightarrows f$

$f_n \rightrightarrows f$.
$\ddot \smile$
Shintuku: you’re learning Russian?
@shintuku Heisenberg

yes
oh good one

: )

hello

hi

2:55 AM
@copper.hat ello!

my family is away in Athens atm, house is very quiet here. Reading my Rockafellar for relaxation :-)

Athens where? Greece?

yup

that's a shame. ted has some stuff he needs delivered to his old stomping ground, but can't because of restraining orders.

3:14 AM
That’s quite a long trek … they wouldn’t let you go?

also restraining orders. and maybe more. interpol is involved

Interpol for copper?

yes.
blurry CCTV images of some irish guy in bell bottoms wandering around cory hall during the troubles.

Munchkin probably has several restraining orders filed against her at her advanced age.

yes. miles and ada in her class. she took miles's hat and threw it in the trash. she then did the same with ada's hat.

3:19 AM
Indubitably.

@TedShifrin someone has to pay the bills :-)
just rang my son to wish him happy birthday, he turned 19 today
well, tomorrow here
he's enjoying ouzo, beer etc since he is legal there

Growing up in a hurry.

He's over 6'3" now. His sister is envious.
She's fairly short.
Some minor differences in definitions bug me. For example, $(\liminf f)(x) = \lim_{ \epsilon \downarrow 0} \inf \{ f(y) \mid \|y-x\| \le \epsilon \}$, and others $\lim_{ \epsilon \downarrow 0} \inf \{ f(y) \mid 0<\|y-x\| <\epsilon \}$
Life is tough.

3:59 AM
@copper.hat often, limits don't include the limit point.

Yep, that always throws me a little.

and lim inf is actually a sup.
$\liminf\limits_{x\to x_0}f(x)=\sup\limits_{\epsilon\gt0}\inf\limits_{0\lt|x-x_0|\le\epsilon}f(x)$

yeah, i like that form

@Koro: I wrote a fairly detailed answer. Let me know if it is not clear.

4:29 AM
: math.stackexchange.com/questions/4484581/… "I'm a ring, but then I'm not a ring."

@robjohn thanks a lot : )
I understand the steps but in the end, there is $\frac {x^2}{4\pi}-n\sin \sqrt{4\pi^2 n^2+x^2}\le \frac{6x^4+x^6}{384\pi^3n^2}$.
Shouldn't there have been a mod |.| on the quantity on left to conclude uniform convergence on [0,a]?
For, if there is mod then RHS term (x) can be replaced by $\le$ term (a).

@Koro The quantity is $\ge0$ as shown earlier, but I can express it more definitely.

Okay. Yes.
I understood.
$\sin ()=\sin (()-2n\pi)=\sin \frac{x^2}{(\sqrt{4\pi^2n^2+x^2})+2n\pi}$
now, we can use $\sin t\le t$

4:48 AM
@Koro I have updated the answer
it now shows explicitly that the convergence is from below

5:27 AM
@robjohn yes I have seen it.
I have one question: Is proof for convergence on [0,a], a>0 correct?
(after taking into account your yesterday's comment to the post).
I tried to show that o(1/n) doesn't depend upon x.
(after taking into account your yesterday's comment to the post).
I think that my solution is also correct.

3 hours later…
8:26 AM
is it true that $1 + x + x^2 - y + y^2 + xy > 0$ $\forall x,y$
I saw it in DESMOS and it kind of covers the all of $xy$ plane
$x,y \in \Bbb{R}$

8:46 AM
Expand $\frac{(x+y)^2+(x+1)^2+(y-1)^2}2$
So it seems to be $\ge0$ $(x=-1,y=1)$

Nice idea! thank you1

9:25 AM
@robjohn yes i think it can be generalized too
In a $2 \times 2$ matrix
$A = [x,1;y,0]$ then det(A) $= 1 + x + x^2 + y^2 -y + xy > 0$
a $n \times n$ how we can show indeed that det$(A) > 0$

10:00 AM
@BAYMAX what does $A=\left[-\Delta\middle|\frac{I}{0\dots0}\right]$ mean?

Oh ok, $A$ is a $n \times n$ matrix with the first column as $-\Delta$

If by $A=[x,1;y,0]$ you mean $A=\begin{bmatrix}x&1\\y&0\end{bmatrix}$, then $\det(A)=-y$

oh yes, am sorry for that notation
@robjohn That's right
@robjohn I think it must be true for $n \times n$ matrix $A$ of the form $A = \left[ -\Delta \middle | \frac{I}{0 \ldots 0}\right]$
as I have tried but could not find a contradiction

$\det\left(\left[-\Delta\middle|\frac{I}{0\dots0}\right]\right)$ is $(-1)^n$ times the bottom element of $\Delta$.

Oh ok, but how you concluded it? quick!!
suppose we consider $3 \times 3$ matrix
Say $B = \begin{bmatrix} a,1,0\\ b,0,1\\ c,0,0\end{bmatrix}$
then $det(B) = c$

10:12 AM
Every time you swap to rows, the determinant is negated. to the the bottom row to the top takes $n-1$ row swaps. The negative on the $\Delta$ makes that $(-1)^n$. Then, expanding on the top row you get the bottom element of $\Delta$.
@BAYMAX Yes, your $\Delta=\begin{bmatrix}-a\\-b\\-c\end{bmatrix}$ and so my statement is true. $(-1)^3(-c)=c$

oh nice
yes suppose $c$ is the last element of $\Delta$

then the determinant would be $-c$

then $det(A) = (-1)^n c$

$\det\left(\left[\Delta\middle|\frac{I}{0\dots0}\right]\right)$ is $(-1)^{n-1}$ times the bottom element of $\Delta$.

yes for a general $n \times n$ matrix
cool!
So $\det((\left(\left[\Delta\middle|\frac{I}{0\dots0}\right]\right))^2) = (-1)^{2(n-1)}$ times the bottom element^2
yes but this mightnot help as we are thinking of $det(I+A+A^2)$

10:20 AM
$(-1)^{2(n-1)}=1$

Right!

@BAYMAX $\det(A+B)\ne\det(A)+\det(B)$

yes therefore I thought det$(A^2)$ mightnot help
seems like a series though $I+A+A^2$

If $A-I$ is invertible ($1$ is not an eigenvalue of $A$), then $I+A+A^2=\left(A^3-I\right)(A-I)^{-1}$

Cool analogy from geometric series!
so, $\det(I+A+A^2) = \det(A^3 - I) \det((A-I)^{-1})$
$\det(A^3 - I) = c^3-1$
where suppose $c$ is the last element of $\Delta$
$\det(A-I)^{-1} = \frac{1}{c-1}$
so, $\det(I+A+A^2) = 1+c+c^2$
but can we conclude if $\det(I+A+A^2) > 0$ for any real entries in $\Delta$
Is that correct? @robjohn

10:48 AM
@BAYMAX no
29 mins ago, by robjohn
@BAYMAX $\det(A+B)\ne\det(A)+\det(B)$

Oh I thought it followed from $\det(I+A+A^2) = \det(A^3 - I) \det((A-I)^{-1})$
I think $\det(A^3 - I) = c^3-1$ is wrong

@BAYMAX yes, that is the comment I linked to

Oh okie
Do you also have an intuition that $\det(I+A+A^2) >0$ ?

3 hours later…
2:08 PM
@BAYMAX Do you know the eigenvalues of $A$? If $\lambda$ is an eigenvalue of $A$, can you find an eigenvalue of $I+A+A^2$?

2:25 PM
Good morning @robjohn

2 hours later…
4:28 PM
@geocalc33 Hi there. I am just back from walking the dog.

@AkivaWeinberger are you proving that $\det(A)=0$ for skew-symmetric matrices of odd dimension?

4:51 PM
Let $S_{\infty}$ be the group of finitely supported permutations of $\Bbb{N}$. I am trying to argue that $S_{\infty}$ is not residually finite. I feel like a stronger claim is true, namely that any homomorphism into a finite group is trivial, but I don't know how to argue this. I could use some hints.

i strongly believe the sign is a non-trivial homomorphism $S_{\infty}\rightarrow\mathbb{Z}/2\mathbb{Z}$

Ah yes and the kernel is $A_{\infty}$, the finitary alternating group.

I hate to agree with @Thor, but ...

I missed this! :P

Okay, that's good to know...so the stronger claim isn't true...Hmm...back to the drawing board...

4:58 PM
@Thorgott Just remember that next time you disappear for months and months. :P

5:12 PM
I shall

Okay, maybe the "bad" element (i.e., the element which shows non-residual finiteness) is some element outside of $A_{\infty}$.

also, I have an inkling suspicion that $\mathrm{sgn}\colon S_{\infty}\rightarrow\mathbb{Z}/2\mathbb{Z}$ might actually be the profinite completion of $S_{\infty}$, but I don't have an argument

Oh, I see. And that map definitely can't be injective, so it can't be residually finite.

5:36 PM
If $f$ is a $C^{\infty}$ function and $U$ is a open subset of $R^n$, what does $C^{\infty}(U)$ mean? More generally I've seen $C^{\infty}(C^n)$, $C^{\infty}(R^n)$ etc. Is it the set of all $C^{\infty}$ functions whose domain is $U$?

@ShikiRyougi Yes.

Thank you very much! :))

@Thorgott I think I got it. Because $A_{\infty}$ is an infinite simple group, any finite-index subgroup of $S_{\infty}$ must actually contain $A_{\infty}$. Indeed, if $N$ is a normal finite-index subgroup of $S_{\infty}$, then $|A_{\infty} : A_{\infty} \cap N| \le |S_{\infty} : N| < N$. Infinite simple groups do not have proper finite-index subgroups, so $A_{\infty} = A_{\infty} \cap N \le N$.
Hence, the intersection of all finite-index normal subgroups of $S_{\infty}$ will contain $A_{\infty}$ which is certainly not trivial.
So, $S_{\infty}$ is not residually finite. This means there exists an element $g \in S_{\infty}$ which is killed by every group homomorphism from $S_{\infty}$ to a finite group...interesting...I wonder what that element looks like.

6:26 PM
nice, right
this argument does show the sign map is the profinite completion of $S_{\infty}$
so the elements getting killed by every group hom to a finite group are precisely $S_{\infty}\setminus A_{\infty}$
more precisely, two elements can be distinguished by their images in a finite group if and only if they are in different $A_{\infty}$-cosets

6:52 PM
i can define a gradient of a functional $f$ on a Hilbert space $H$ via reisz representation theorem like this right : given $f:H\to\mathbb{R}$, the Frechet derivative of $f$ is an operator $Df:H\to \mathbb{R}$, i.e $Df\in H'$, so by reisz representation we can associate to $Df$ a unique $v\in H$ such that $Df(u)=\langle u, v \rangle$. We call $v$ the gradient of $f$.
Is that generally the idea?

00:00 - 19:0019:00 - 00:00


text:
# Conditional probability distribution of a Brownian particle surviving forever

Consider the drift Brownian motion $$X_t:=1+bt+W_t$$, where $$(W_t)_{t\ge 0}$$ is a Brownian motion starting at zero. Set $$\tau:=\inf\{t\ge 0: X_t=0\}$$. Assume $$b>0$$, then $$\mathbb P[\tau=\infty]>0$$. What is the conditional law of $$X_{\infty}$$ knowing $$\tau=\infty$$?

By the law of Large numbers, $$X_t/t \to b$$ almost surely as $$t \to +\infty$$, hence $$X_t \to +\infty$$ almost surely as $$t \to +\infty$$. Therefore $$X_\infty = +\infty$$ almost surely under $$P$$ and also under $$P[\cdot|\tau = \infty]$$.
• I see that $X_\infty = +\infty$ almost surely under $P$ — but I don’t think that implies much about $P[\cdot|\tau = \infty]$ since $\tau=\infty$ is a measure-0 condition. Jun 23 at 16:22
• @GJC20 The density and the distribution function of $X_t$ under $P$ and under $P[\cdot|\tau>t]$converge pointwise to 0 as $t \to +\infty$. Jun 23 at 16:52
• @GJC20 : As Christophe Leuridan noted, the conditional density of $X_t$ given $\tau>t$ will go to $0$ pointwise as $t\to\infty$. However, it is not hard to find a simple expression for the conditional density of the standardized version $Z_t:=(X_t-EX_t)/\sqrt{Var\,X_t}$ given $\tau>t$ and show that it will go to the standard normal density pointwise as $t\to\infty$. Jun 23 at 20:57
• Previous comment continues: At least intuitively, this should be clear, as $X_t$ for large $t$ will "forget" whether the process previously reached $0$ or not. So, for large $t$, the conditional distribution of $X_t$ given $\tau>t$ will be close to the unconditional distribution of $X_t$. Jun 23 at 20:58


text:
Canadian Mathematical Society www.cms.math.ca
 location:  Publications → journals → CMB
Abstract view

# Transformations and Colorings of Groups

Published:2007-12-01
Printed: Dec 2007
• Yevhen Zelenyuk
• Yuliya Zelenyuk
 Format: HTML LaTeX MathJax PDF PostScript

## Abstract

Let $G$ be a compact topological group and let $f\colon G\to G$ be a continuous transformation of $G$. Define $f^*\colon G\to G$ by $f^*(x)=f(x^{-1})x$ and let $\mu=\mu_G$ be Haar measure on $G$. Assume that $H=\Imag f^*$ is a subgroup of $G$ and for every measurable $C\subseteq H$, $\mu_G((f^*)^{-1}(C))=\mu_H(C)$. Then for every measurable $C\subseteq G$, there exist $S\subseteq C$ and $g\in G$ such that $f(Sg^{-1})\subseteq Cg^{-1}$ and $\mu(S)\ge(\mu(C))^2$.
 Keywords: compact topological group, continuous transformation, endomorphism, Ramsey theoryinversion
 MSC Classifications: 05D10 - Ramsey theory [See also 05C55] 20D60 - Arithmetic and combinatorial problems 22A10 - Analysis on general topological groups

 top of page | contact us | privacy | site map |

© Canadian Mathematical Society, 2018 : https://cms.math.ca/


text:
G. Greedy Subsequences
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

For some array $c$, let's denote a greedy subsequence as a sequence of indices $p_1$, $p_2$, ..., $p_l$ such that $1 \le p_1 < p_2 < \dots < p_l \le |c|$, and for each $i \in [1, l - 1]$, $p_{i + 1}$ is the minimum number such that $p_{i + 1} > p_i$ and $c[p_{i + 1}] > c[p_i]$.

You are given an array $a_1, a_2, \dots, a_n$. For each its subsegment of length $k$, calculate the length of its longest greedy subsequence.

Input

The first line contains two integers $n$ and $k$ ($1 \le k \le n \le 10^6$) — the length of array $a$ and the length of subsegments.

The second line contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le n$) — array $a$.

Output

Print $n - k + 1$ integers — the maximum lengths of greedy subsequences of each subsegment having length $k$. The first number should correspond to subsegment $a[1..k]$, the second — to subsegment $a[2..k + 1]$, and so on.

Examples
Input
6 4
1 5 2 5 3 6

Output
2 2 3

Input
7 6
4 5 2 5 3 6 6

Output
3 3

Note

In the first example:

• $[1, 5, 2, 5]$ — the longest greedy subsequences are $1, 2$ ($[c_1, c_2] = [1, 5]$) or $3, 4$ ($[c_3, c_4] = [2, 5]$).
• $[5, 2, 5, 3]$ — the sequence is $2, 3$ ($[c_2, c_3] = [2, 5]$).
• $[2, 5, 3, 6]$ — the sequence is $1, 2, 4$ ($[c_1, c_2, c_4] = [2, 5, 6]$).

In the second example:

• $[4, 5, 2, 5, 3, 6]$ — the longest greedy subsequences are $1, 2, 6$ ($[c_1, c_2, c_6] = [4, 5, 6]$) or $3, 4, 6$ ($[c_3, c_4, c_6] = [2, 5, 6]$).
• $[5, 2, 5, 3, 6, 6]$ — the subsequence is $2, 3, 5$ ($[c_2, c_3, c_5] = [2, 5, 6]$).


text:
MORE IN Geotechnical Engineering - 1
MU Civil Engineering (Semester 5)
Geotechnical Engineering - 1
May 2015
Total marks: --
Total time: --
INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary

1 (a) What is geotechnical engineering? Explain the scope of soil engineering.
5 M
1 (b) Explain the Mohr-Coulomb theory for shearing strength of soils and its modifications by Terzaghi.
5 M
1 (c) What are the factors that influence permeability of soils?
5 M
1 (d) Differentiate compaction and consolidation?
5 M

2 (a) With soil mass idealization as three phase diagram and usual notations, derive from first principles that $S=\dfrac{w}{\dfrac{\gamma w}{\gamma}(1+w)-\dfrac{1}{G}}$
5 M
2 (b) A natural soil sample has a bulk density of 2g/cm3 with 6% water content. Calculate the amount of water required to be added to one cubic metre of soil to raise the water content to 15% while the void ratio remains constant. What is then the degree of saturation? Consider G=2.67.
10 M
2 (c) What are the factors affecting compaction of soil.
5 M

3 (a) Classify the following soil as per IS classification system systematically with justifications.
%passing 75 microns sieve=8%; retained on 4.75 sieve=35; coefficient of curvature=2.5; uniformity coefficient=7; liquid limit=15; plasticity index=3.
5 M
3 (b) A sample of soil for a constant head permeability test gives the following data; Diameter of permeameter=76 mm; length of soil sample =200 mm; head causing flow=15 mm; quantity of water collected in 10 minutes=150 ml; G=2.65; saturated unit weight of soil=20 kN/m3 determine (a) Coefficient of permeability of soil in cm/s(b) superficial velocity of flow (c) Seepage velocity.
10 M
3 (c) What are the used of consistency limits.
5 M

4 (a) Practically, under what circumstances quick sand conditions are developed. What is the critical hydraulic gradient for the quick sand condition in a soil deposit having porosity =33% and G=2.60.
5 M
4 (b) The water table in a deposit of uniform sand is located at 2m below the ground surface. Assuming the soil above the water table is dry, determine the effective stress at a depth of 5 m below the ground surface. The void ratio is 0.75 and specific gravity of solids is 2.65. If the soil above water table is saturated by capillary action, what is the effective stress at that depth?
10 M
4 (c) What is flow net? What are the characteristics of flow net?
5 M

5 (a) What is N value of standard penetration test used in soil exploration? Explain the various correction to be applied to the observed value of N. What is the importance of the test in geotechnical engineering?
10 M
5 (b) Calculate the final settlement of the clay layer shown in Figure 1 due to an increase of pressure of 30 kN/m2 at mid height of the layer. Also calculate the settlement when the water table rises to the ground surface.

10 M

6 (a) Derive the relationship between the principle stresses at failure using Mohr-coulomb failure criteria $\sigma '_{1}=\sigma '_{3}N_{\varnothing }+2c'\sqrt{N_{\varnothing }}$
5 M
6 (b) In a direct shear test conducted on dense sand, the sample fails at a shear stress of 75 kN/m2 when the normal stress was held constant at 100 kN/m2. Draw the Mohr circle for the failure condition. Find (a) the angle of shearing resistance and (b) the magnitude and orientation of the major and minor principle stresses.
10 M
6 (c) Write a note on depth and spacing of bore holes. What are the salient features of bore log?
5 M

More question papers from Geotechnical Engineering - 1