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# Multiple Period Discounted Cash Flow Method

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### Discounted Cash Flow - How to Value an Enterprise

(1 days ago) The Discounted Cash Flow method (DCF method) is a valuation method that can be used to determine the value of investment objects, assets, projects, et cetera. This valuation method is especially suitable to value the assets or stock of a company (or enterprise or firm).

https://www.value-enterprise.com/discounted-cash-flow/

Category:  Discount

### DCF Formula (Discounted Cash Flow) - WallStreetMojo

(1 days ago) TV n Terminal Value at the end of the specified period; CF n represents the cash flow of the last specified period; g is the growth rate; WACC is the Weighted Average Cost of Capital.; Under the Exit Multiple methods, the terminal value is calculated using multiple of EV/EBITDA, EV/Sales, etc., and giving a multiplier to it.For instance, using Exit multiple ones can value the Terminal with ...

https://www.wallstreetmojo.com/dcf-discounted-cash-flow-formula/

Category:  coupon

### Discounted Cash Flow (DCF) Definition

(2 days ago) Discounted cash flow (DCF) is a valuation method used to estimate the value of an investment based on its expected future cash flows. DCF analysis attempts to figure out the value of an investment...

https://www.investopedia.com/terms/d/dcf.asp

Category:  Discount

### Discounted Cash Flow – Valuation Method

(1 days ago) The Discounted Cash Flow Method predicts a startup’s value by discounting all of its predicted cash flows by a discount rate that is meant to compensate for its riskiness. For this, future cash flows need to be predicted with a detailed financial model and an appropriate risk factor needs to be determined.

https://startupvaluationschool.com/discounted-cash-flow-analysis/

Category:  Discount

### DCF (Discounted Cash Flow) and Multiple Valuation Excel Model

(2 days ago) DCF (Discounted Cash Flow) and Multiple Valuation Excel Model Get a proper Discounted Cash Flow analysis of your business and come up with a valuation range based on multiples. All Industries, Financial Model, General Excel Financial Models

Category:  Discount

### Discounted Cash Flow Analysis | Best Guide to DCF Valuation

(2 days ago) Discounted cash flow analysis is method of analyzing the present value of company or investment or cash flow by adjusting future cash flows to the time value of money where this analysis assesses the present fair value of assets or projects/company by taking into effect many factors like inflation, risk and cost of capital and analyze the company’s performance in future.

https://www.wallstreetmojo.com/dcf-discounted-cash-flow/

Category:  Discount

### Discounted Cash Flow DCF Formula - Calculate NPV | CFI

(1 days ago) The discounted cash flow (DCF) formula is equal to the sum of the cash flow in each period divided by one plus the discount rate (WACC) raised to the power of the period number. Here is the DCF formula:

https://corporatefinanceinstitute.com/resources/knowledge/valuation/dcf-formula-guide/

Category:  Discount

### Exit Multiple - Overview, Terminal Value, Perpetual Growth ...

(1 days ago) Exit multiple is one of the methods used to calculate the terminal value of the free cash flows of a business. The method assumes that the value of a business will be determined at the end of a projected period, based on the existing public market valuations. The most commonly used multiples are EV/EBITDA

https://corporatefinanceinstitute.com/resources/knowledge/finance/exit-multiple/

Category:  coupon

### How do you use DCF for real estate valuation?

(5 years ago) Discounted cash flow analysis is a valuation method that seeks to determine the profitability, or even the mere viability, of an investment by examining projected its future income or projected...

Category:  Discount

### Valuing Multiple Cash Flows | Boundless Finance

(2 days ago) Multiple cash flow investments that are not annuities unfortunately cannot be discounted by any other method but by discounting each cash flow and summing them together. Key Terms discount : To find the value of a sum of money at some earlier point in time.

https://courses.lumenlearning.com/boundless-finance/chapter/valuing-multiple-cash-flows/

Category:  Ties,  Discount

### Discounted Cash Flow Analysis: A Real Life Example

(2 days ago) To calculate the business’s cash flow or CF, you would multiple 500,000 x 0.05 to get 5% of 500,000. This gives you $25,000 so next you would add$25,000 to $500,000 giving you$525,000 which is the value of CF2. Next, to calculate CF3you solve for 5% of $525,000 and add that to the 525,000. This gives you$551,250 for CF3.

https://www.fourriverslaw.com/blog/2020/june/discounted-cash-flow-analysis-a-real-life-exampl/

Category:  coupon

### Terminal Value in DCF | How to Calculate Terminal Value?

(1 days ago) Terminal Multiple Method This is another way of determining the terminal value of cash flows. It assumes that the company will be valued at the end of the projection period, based on public market valuations.

https://www.educba.com/terminal-value-dcf/

Category:  coupon

### Explaining the DCF Valuation Model with a Simple Example

(1 days ago) If the discounted cash flow result is above the current market value of the company, then theoretically, the company is undervalued and could generate positive returns into the future. Ok, now that we have an understanding of what a discounted cash flow is, let’s discuss discount rates and other inputs needed to calculate a discounted cash flow.

https://einvestingforbeginners.com/dcf-valuation/

Category:  Discount

### Calculate Discounted Cash Flows in Payback Period

(1 days ago) DPP = Year Before DPP Occurs + Cumulative Cash Flow in Year Before Recovery ÷ Discounted Cash Flow in Year After Recovery Using our example above, the precise discounted payback period (DPP) would equal 2 + $2,148.76/$2,253.94 or 2.95 years. In the example, the investment recovers its outlays in a little under three years.

https://www.thebalancesmb.com/discounted-payback-period-as-a-capital-budgeting-method-392913

Category:  Discount

### Multiple Period Discounted Cash Flow Method

(1 months ago) Discounted Cash Flow Method - Chegg. COUPON (16 days ago) Single Period Cash Flows: Here there is only one cash flow for which the present value is to be calculated. Annuity Cash Flows: These are a series of equal cash flows for a limited period. There are subdivided as under: Regular Annuity: Here, the first cash flow occurs at the end of the 1st period and goes on till the end of the pre ...

https://thenorthfaceblackfriday.us/multiple-period-discounted-cash-flow-method

Category:  Coupon,  Discount

### Learn about the Discounted Cash Flow Valuation Method ...

(3 days ago) The discounted cash flow valuation method (or also the DCF method) is an income-based valuation approach that derives the value of a business or an asset from its expected future free cash flows.

Category:  Discount

### Multiple Period Discounted Cash Flow Method - Updated ...

(3 months ago) In finance, discounted cash flow (DCF) analysis is a method of valuing a sec. urity, project, company, or asset using the concepts of the time value of money.Discounted cash flow analysis is widely used in investment finance, real estate development, corporate financial management and patent valuation.It was used in industry as early as the 1700s or 1800s, widely discussed in financial ...

https://iscoupon.com/multiple-period-discounted-cash-flow-method

Category:  Discount

### Discounted Cash Flow Method - Chegg

(10 days ago) Single Period Cash Flows: Here there is only one cash flow for which the present value is to be calculated. Annuity Cash Flows: These are a series of equal cash flows for a limited period. There are subdivided as under: Regular Annuity: Here, the first cash flow occurs at the end of the 1st period and goes on till the end of the pre-defined and limited lifetime of the investment.

https://www.chegg.com/learn/accounting/accounting/discounted-cash-flow-method

Category:  coupon

### Discounted Cash Flow: EBITDA Exit Method

(2 days ago) Discounted Cash Flow (DCF) analysis is a generic method for of valuing a project, company, or asset. A DCF forecasts cash flows and discounts them using a cost of capital to estimate their value today (present value). DCF analysis is widely used across industries ranging from law to real-estate and of course investment finance.

https://finbox.com/blog/discounted-cash-flow-ebitda/

Category:  Discount

### Difference Between Discounted and Undiscounted Cash Flows ...

(2 days ago) Discounted cash flows are cash flows adjusted to incorporate the time value of money. Cash flows are discounted using a discount rate to arrive at a present value estimate, which is used to evaluate the potential for investment. Discounted cash flows are calculated as, Discounted cash flows= CF 1/ (1+r) 1 + CF 2/ (1+r) 2 +…

https://www.differencebetween.com/difference-between-discounted-and-vs-undiscounted-cash-flows/

Category:  Discount

### What is Discounted Cash Flow (DCF)? - Definition | Meaning ...

(2 days ago) Definition: Discounted cash flow (DCF) is a model or method of valuation in which future cash flows are discounted back to a present value using the time-value of money. An investment’s worth is equal to the present value of all projected future cash flows.

https://www.myaccountingcourse.com/accounting-dictionary/discounted-cash-flow

Category:  Discount

### Discounted Cash Flow - Definition - The Business Professor ...

(3 days ago) This effort usually takes the form of finding a fair rate of return using the discounted cash flows (DCF) method. Multi-perioddiscounted cash flowrate-making models in property-liability insurance, Cummins, J. D. (1990). Journal of Risk and Insurance, 79-109. This article examines two of the most popular models using the discounted cash flow ...

Category:  Discount

### Discounted cash flow - Wikipedia

(6 days ago) In finance, discounted cash flow (DCF) analysis is a method of valuing a security, project, company, or asset using the concepts of the time value of money.Discounted cash flow analysis is widely used in investment finance, real estate development, corporate financial management and patent valuation.It was used in industry as early as the 1700s or 1800s, widely discussed in financial economics ...

https://en.wikipedia.org/wiki/Discounted_cash_flow

Category:  Discount

### MCQs on Discounted Cash Flow with answers

(1 days ago) MCQs on Discounted Cash Flow Discounted cash flow (DCF) is an evaluation process used to determine the investment value on its future cash flows. It is used to estimate the current company’s value and project how much money a firm will produce in the future. It analysis the existing value of expected future cash flows using a discount rate.

https://byjus.com/commerce/mcq-on-discounted-cash-flow/

Category:  Discount

### Startup Valuation - The Discounted Cash Flow Method - The ...

(7 days ago) First, you calculate the earnings that you expect after 2021 (the free cash flows). You can do this by taking the cash flows of 2021 and multiplying them with a growth rate. For this purpose you can use the following formula: Free cash flows after 2021 = Free cash flow for the last projected period (in this case 2021) * (1 + growth factor).

https://thefactory.works/startup-valuation-applying-the-discounted-cash-flow-method-in-six-easy-steps/

Category:  coupon

### Discount Future Cash Flows Method - The Business Professor

(5 days ago) The Discounted Cash Flow (DCF) method uses the projected future cash flows of the business after subtracting the operating expenses, taxes, changes in working capital, and capital expenditures. This figure is known as the free cash flow of the business because it accurately represents the cash available to interested parties, such as investors ...

Category:  Ties,  Discount

### Discounted payback method - definition, explanation ...

(2 days ago) Under this method, all cash flows related to the project are discounted to their present values using a certain discount rate set by the management. The discounted payback method takes into account the time value of money and is therefore an upgraded version of the simple payback period method .

https://www.accountingformanagement.org/discounted-payback-method/

Category:  Discount

### The Discounted Cash Flow Approach to Business Valuation

(1 days ago) In fact, I see multiple of earnings as kind of a shortcut to discounted cash flow. The discounted cash flow approach is based on a concept of the value of all future earnings discounted back at the risk these earnings might not materialize. The discounted cash flow approach is particularly useful to value large businesses.

Category:  Discount

### The Discount Period for the Terminal Value | QuickRead ...

(2 days ago) The free cash flow is assumed to occur at the end of the year (on December 31) when the end-of-period discount convention is used. Year one (2018) free cash flow is discounted back by 1.0 year because the first-year free cash flow is received 1.0 year (on December 31, 2018) after the January 1, 2018 valuation date.

Category:  Discount

### Single Period Model – Discounted Cash Flow Model

(1 days ago) Single Period Model, one of the discounted cash flow models, is an income valuation approach that aims to find the fair value of a stock/firm using single projected cash flow value and then discounting it with an appropriate discount rate. Taking all future streams of cash flow into one single period and discounting is also referred as “Earnings Capitalisation”.

https://efinancemanagement.com/investment-decisions/single-period-model-discounted-cash-flow-model

Category:  Discount

### The discounted cash flow method — AccountingTools

(1 days ago) The discounted cash flow method is designed to establish the present value of a series of future cash flows. Present value information is useful for investors , under the concept that the value of an asset right now is worth more than the value of that same asset that is only available at a later date.

https://www.accountingtools.com/articles/the-discounted-cash-flow-method.html

Category:  Discount

### Terminal Value in DCF Analysis - keySkillset

(2 days ago) Analysts use the discounted cash flow model (DCF) to calculate the total value of a business. Eventually, DCF has two major components—the forecast period and terminal value. We can calculate the terminal value by using two methodologies—perpetual growth (Gordon Growth Model) and exit multiple.

https://keyskillset.com/terminal-value-in-dcf-analysis/

Category:  Discount

### Discounted Cash Flow (DCF) - Definition & Formula

(2 days ago) It is the projected growth rate of cash flows for the years over and above the considered period. There are two methods for calculating the terminal value – Exit multiple methods –In this method, a financial metric of a company (like EBITDA) is multiplied by a trading multiple (for e.g. Terminal value = EBITDA x 10).

https://groww.in/p/discounted-cash-flow/

Category:  coupon

### Lec 4_Chap 5 Discounted Cash Flow Valuation.pptx - CHAPTER ...

(2 days ago) Chapter Outline 5.1 Future and Present Values of Multiple Cash Flows 5.2 Valuing Level Cash Flows: Annuities and Perpetuities 5.3 Comparing Rates: The Efect of Compounding Periods 5.4 Loan Types and Loan Amortization

https://www.coursehero.com/file/78113961/Lec-4-Chap-5-Discounted-Cash-Flow-Valuationpptx/

Category:  Ties

### Terminal Value - Macabacus

(1 days ago) Terminal Multiple Method The terminal multiple method inherently assumes that the business will be valued at the end of the projection period, based on public markets valuations. The terminal value is typically calculated by applying an appropriate multiple (EV/EBITDA, EV/EBIT, etc.) to the relevant statistic projected for the last projected year.

https://macabacus.com/valuation/dcf/terminal-value

Category:  coupon

### DCF Model Training: 6 Steps to Building a DCF Model in ...

(2 days ago) We also have to forecast the present value of all future unlevered free cash flows after the explicit forecast period. This is called the 2-stage DCF model. The first stage is to forecast the unlevered free cash flows explicitly (and ideally from a 3-statement model). The second stage is the total of all cash flows after stage 1.

https://www.wallstreetprep.com/knowledge/dcf-model-training-6-steps-building-dcf-model-excel/

Category:  coupon

### Difference Between Payback Period and Discounted Payback ...

(2 days ago) Normal cash flows are used in payback period whereas discounted payback period uses discounted cash flows. These two investment appraisal techniques are less complex and less useful compared to others such as Net Present Value (NPV) and Internal Rate of Return (IRR) , thus should not be used as the sole decision-making criteria.

https://www.differencebetween.com/difference-between-payback-period-and-vs-discounted-payback-period/

Category:  Discount

### Payback Period Calculator

(1 days ago) Free calculator to find payback period, discounted payback period, and average return of either steady or irregular cash flows, or to learn more about payback period, discount rate, and cash flow. Experiment with other investment calculators, or explore other calculators addressing finance, math, fitness, health, and many more.

https://www.calculator.net/payback-period-calculator.html

Category:  Discount

### Cash-flow based valuation – CASFLO APP

(5 days ago) Cash-flow based valuation Valuation based on what the company can generate in the future is the most common method of valuation. As in the analysis of investment/financing projects, these methodologies analyze the financial flows that the company can generate in the future and which can be made available to the holders of the capital of the ...

https://casflo-app.com/learning-center/manuals/financial-analysis/valuation/valuation-methods/cash-flow-based-valuation/

Category:  coupon

### Discounted Cash Flow Valuation Excel » The Spreadsheet Page

(2 days ago) Discounted cash flow is a widely used method of valuation, often used for evaluating companies with strong projected future cash flow. This is the only method which assigns more importance to the future cash generation capacity of the company – not the current cash flow. Our Discounted Cash Flow Valuation Template is designed to assist you ...

Category:  Discount

### Chapter 3: Investment appraisal â€“ discounted cash flow ...

(2 days ago) The cash flows for a project have been estimated as follows: The cost of capital is 6%. Convert these cash flows to a PV. Calculate the net present value (NPV) of the project to assess whether it should be undertaken. Test your understanding 4 â€“ Net present value. An organisation is considering a capital investment in new equipment.

https://kfknowledgebank.kaplan.co.uk/acca/chapter-3-investment-appraisal-%C3%A2-discounted-cash-flow-techniques

Category:  coupon

### Discounted Cash Flow | Project Gutenberg Self-Publishing ...

(3 days ago) Where multiple cash flows in multiple time periods are discounted, it is necessary to sum them as follows: DPV = \sum_{t=0}^{N} \frac{FV_t}{(1+r)^{t}} for each future cash flow (FV) at any time period (t) in years from the present time, summed over all time periods. The sum can then be used as a net present value figure.

http://self.gutenberg.org/articles/eng/Discounted_Cash_Flow

Category:  Discount

### Discounted Cash Flow Valuation. When taking a long-term ...

(1 months ago) The terminal value formula for this method is shown below, where FCFn is the free cash flow of the terminal year (last period for which we forecasted), r is the discount rate (recommend flat 10% ...

https://medium.com/investbeta/discounted-cash-flow-valuation-3e3f54a143e1

Category:  Discount

### Solved: 7. The Payback Period The Payback Method Helps Fir ...

(1 months ago) One theoretical disadvantage of both payback methods—compared to the net present value method—is that they fail to consider the value of the cash flows beyond the point in time equal to the payback period. How much value does the discounted payback period method fail to recognize due to this theoretical deficiency? $1,428,521.$3,297,680 ...

Category:  Discount

### TOP 250 Discounted Cash Flow (DCF) Interview Questions ...

(6 days ago) Discounted Cash Flow (dcf) is a valuation method used to estimate the attractiveness of an investment opportunity. The formula is the sum of the cash flow in each period divided by one plus the discount rate raised to the power of the period. Strong determination is required to crack the job.

https://www.wisdomjobs.com/e-university/discounted-cash-flow-dcf-interview-questions.html

Category:  Discount

### discounted cash flow valuation Flashcards and Study Sets ...

(2 years ago) Learn discounted cash flow valuation with free interactive flashcards. Choose from 399 different sets of discounted cash flow valuation flashcards on Quizlet.

https://quizlet.com/subject/discounted-cash-flow-valuation/

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# How do you solve 13-4y=25?

Apr 2, 2016

$y = - 3$

#### Explanation:

The equation is:

$13 - 4 y = 25$

Subtracting $13$ from both sides:

$13 - 13 - 4 y = 25 - 13$

$- 4 y = 12$

Dividing both sides by $- 4$

$y = \frac{12}{-} 4$

$y = - 3$

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# Introduction

Objective

## Input Devices

Input Devices

• An input device is any peripheral (piece of computer hardware equipment) used to provide data and control signals to an information processing system such as a computer or other information appliance. Input and output devices make up the hardware interface between a computer and a scanner.Many input devices can be classified according to: Input_Device
• Modality of input (e.g. mechanical motion, audio, visual, etc.)
• The input is discrete (e.g. key presses) or continuous (e.g. a mouse's position, though digitized into a discrete quantity, is fast enough to be considered continuous)
• the number of degrees of freedom involved (e.g. two-dimensional traditional mice, or three-dimensional navigators designed for CAD applications)
• Pointing devices, which are input devices used to specify a position in space, can further be classified according to:
• Whether the input is direct or indirect. With direct input, the input space coincides with the display space, i.e. pointing is done in the space where visual feedback or the cursor appears. Touchscreens and light pens involve direct input. Examples involving indirect input include the mouse and trackball.Direct input is almost necessarily absolute, but indirect input may be either absolute or relative. For example, digitizing graphics tablets that do not have an embedded screen involve indirect input and sense absolute positions and are often run in an absolute input mode, but they may also be set up to simulate a relative input mode where the stylus or puck can be lifted and repositioned.
• Whether the positional information is absolute (e.g. on a touch screen) or relative (e.g. with a mouse that can be lifted and repositioned)

## Output Devices

Output Devices

• An output device is any piece of computer hardware equipment used to communicate the results of data processing carried out by an information processing system (such as a computer) to the outside world.

In computing, input/output, or I/O, refers to the communication between an information processing system (such as a computer), and the outside world. Inputs are the signals or data sent to the system, and outputs are the signals or data sent by the system to the outside.Output Devices

Examples of output devices:

1. Speakers


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# zbMATH — the first resource for mathematics

## Journal of Mathematical Biology

 Short Title: J. Math. Biol. Publisher: Springer, Berlin/Heidelberg ISSN: 0303-6812; 1432-1416/e Online: http://link.springer.com/journal/volumesAndIssues/285 Comments: Indexed cover-to-cover
 Documents Indexed: 3,121 Publications (since 1974) References Indexed: 2,575 Publications with 84,876 References.
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#### Authors

 30 Maini, Philip Kumar 29 Metz, Johan A. Jacob 28 Diekmann, Odo 27 van den Driessche, Pauline 25 Byrne, Helen Mary 24 Gyllenberg, Mats 23 Lewis, Mark Alun 21 King, John Robert 20 Mackey, Michael Charles 20 Smith, Hal Leslie 19 Othmer, Hans G. 19 Thieme, Horst R. 18 Cushing, Jim M. 17 Hadeler, Karl-Peter 17 Stadler, Peter F. 16 Levin, Simon Asher 16 Nagylaki, Thomas 16 Ruan, Shigui 15 Bacaër, Nicolas 15 Murray, James Dickson 13 Chaplain, Mark A. J. 13 Edelstein-Keshet, Leah 13 Gourley, Stephen A. 13 Hillen, Thomas 13 Hsu, Szebi 13 Huber, Katharina T. 13 Keener, James P. 13 Liberman, Uri 13 Lutscher, Frithjof 13 Moulton, Vincent L. 13 Perelson, Alan S. 13 Wolkowicz, Gail S. K. 12 Geritz, Stefan A. H. 12 Griffiths, Robert C. 12 Hellmuth, Marc 12 Hethcote, Herbert W. 12 Sherratt, Jonathan A. 11 Broom, Mark 11 Cosner, Chris 11 Hastings, Alan 11 Hofbauer, Josef 11 Lessard, Sabin 11 Méléard, Sylvie 11 Mimura, Masayasu 11 Schreiber, Sebastian J. 11 Steel, Michael Anthony 10 Bürger, Reinhard 10 Li, Bingtuan 10 Notohara, Morihiro 10 Oster, George F. 10 Shi, Junping 10 Sleeman, Brian D. 10 Weinberger, Hans Felix 9 Baake, Ellen 9 Cressman, Ross 9 Dieckmann, Ulf 9 Hening, Alexandru 9 Kisdi, Éva 9 Kuang, Yang 9 Lou, Yuan 9 Lui, Roger 9 Pugliese, Andrea 9 Roberts, Michael George 9 Semple, Charles 9 Webb, Glenn Francis 9 Zhao, Xiao-Qiang 9 Zou, Xingfu 8 Alt, Wolfgang 8 Cantrell, Robert Stephen 8 Castillo-Chavez, Carlos 8 Clote, Peter G. 8 Cooke, Kenneth L. 8 De Leenheer, Patrick 8 Hallam, Thomas G. 8 Heesterbeek, J. A. P. 8 Kiss, István Z. 8 Painter, Kevin J. 8 Preziosi, Luigi 8 Tuljapurkar, Shripad D. 7 Allen, Linda J. S. 7 Ball, Frank G. 7 Banks, Harvey Thomas 7 Beretta, Edoardo 7 Brauer, Fred 7 Busenberg, Stavros N. 7 Calsina, Àngel 7 de Roos, André M. 7 Dietz, Klaus 7 Edwards, David Alan 7 Ermentrout, Bard G. 7 Eshel, Ilan 7 Feldman, Marcus W. 7 Feng, Zhilan 7 Friedman, Avner 7 House, Thomas 7 Karlin, Samuel 7 Ma, Junling 7 Rinzel, John 7 Sumner, Jeremy G. 7 Waltman, Paul Elvis ...and 4,152 more Authors
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#### Fields

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#### Citations contained in zbMATH Open

2,549 Publications have been cited 37,757 times in 20,626 Documents Cited by Year
On the definition and the computation of the basic reproduction ratio $$R_ 0$$ in models for infectious diseases in heterogeneous populations. Zbl 0726.92018
Diekmann, O.; Heesterbeek, J. A. P.; Metz, J. A. J.
1990
A user’s guide to PDE models for chemotaxis. Zbl 1161.92003
Hillen, T.; Painter, K. J.
2009
Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models. Zbl 0582.92023
Liu, Wei-min; Levin, Simon A.; Iwasa, Yoh
1986
Global qualitative analysis of a ratio-dependent predator-prey system. Zbl 0895.92032
Kuang, Yang; Beretta, Edoardo
1998
Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations. Zbl 0761.34039
Thieme, Horst R.
1992
Dynamical behavior of epidemiological models with nonlinear incidence rates. Zbl 0621.92014
Liu, Wei-min; Hethcote, Herbert W.; Levin, Simon A.
1987
The dynamical theory of coevolution: A derivation from stochastic ecological processes. Zbl 0845.92013
Dieckmann, Ulf; Law, Richard
1996
On spreading speeds and traveling waves for growth and migration models in a periodic habitat. Zbl 1058.92036
Weinberger, Hans F.
2002
Modeling immunotherapy of the tumor – immune interaction. Zbl 0902.92012
Kirschner, Denise; Panetta, John Carl
1998
Models of dispersal in biological systems. Zbl 0713.92018
Othmer, Hans G.; Dunbar, S. R.; Alt, W.
1988
Density-dependent birth rate, birth pulses and their population dynamic consequences. Zbl 0990.92033
Tang, Sanyi; Chen, Lansun
2002
Predator-prey populations with parasitic infection. Zbl 0716.92021
Hadeler, K. P.; Freedman, H. I.
1989
Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system. Zbl 0984.92035
Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang
2001
A non-local model for a swarm. Zbl 0940.92032
Mogilner, Alexander; Edelstein-Keshet, Leah
1999
The epidemic threshold of vector-borne diseases with seasonality. Zbl 1098.92056
2006
The evolution of slow dispersal rates: a reaction diffusion model. Zbl 0921.92021
Dockery, Jack; Hutson, Vivian; Mischaikow, Konstantin; Pernarowski, Mark
1998
Thresholds and travelling waves for the geographical spread of infection. Zbl 0415.92020
Diekmann, O.
1978
Analysis of linear determinacy for spread in cooperative models. Zbl 1023.92040
Weinberger, Hans F.; Lewis, Mark A.; Li, Bingtuan
2002
The evolution of dispersal. Zbl 1052.92042
Hutson, V.; Martinez, S.; Mischaikow, K.; Vickers, G. T.
2003
The dynamics of density dependent population models. Zbl 0379.92016
Guckenheimer, J.; Oster, G.; Ipaktchi, A.
1977
Dynamic models of infectious diseases as regulators of population sizes. Zbl 0748.92012
Mena-Lorca, Jaime; Hethcote, Herbert W.
1992
Spreading speed and linear determinacy for two-species competition models. Zbl 1032.92031
Lewis, Mark A.; Li, Bingtuan; Weinberger, Hans F.
2002
A stage structured predator-prey model and its dependence on maturation delay and death rate. Zbl 1055.92043
Gourley, Stephen A.; Kuang, Yang
2004
Global dynamics of a ratio-dependent predator-prey system. Zbl 1007.34031
Xiao, Dongmei; Ruan, Shigui
2001
Some epidemiological models with nonlinear incidence. Zbl 0722.92015
Hethcote, H. W.; van den Driessche, P.
1991
Backwards bifurcations and catastrophe in simple models of fatal diseases. Zbl 0917.92022
Dushoff, Jonathan; Huang, Wenzhang; Castillo-Chavez, Carlos
1998
Analysis of a mathematical model for the growth of tumors. Zbl 0944.92018
Friedman, Avner; Reitich, Fernando
1999
Local vs. non-local interactions in population dynamics. Zbl 0714.92012
Furter, J.; Grinfeld, M.
1989
Optimal control of the chemotherapy of HIV. Zbl 0876.92016
Kirschner, Denise; Lenhart, Suzanne; Serbin, Steve
1997
Analysis of the periodically fragmented environment model. I: Species persistence. Zbl 1066.92047
Berestycki, Henri; Hamel, François; Roques, Lionel
2005
Interaction of maturation delay and nonlinear birth in population and epidemic models. Zbl 0945.92016
Cooke, K.; van den Driessche, P.; Zou, X.
1999
A simplified neuron model as a principal component analyzer. Zbl 0488.92012
Oja, Erkki
1982
A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay. Zbl 1023.92011
Culshaw, Rebecca V.; Webb, Glenn
2003
Analysis of an SEIRS epidemic model with two delays. Zbl 0865.92019
Cooke, K. L.; van den Driessche, P.
1996
Competitive exclusion in a vector-host model for the dengue fever. Zbl 0878.92025
Feng, Zhilan; Velasco-Hernández, Jorge X.
1997
Global stability of an SIR epidemic model with time delays. Zbl 0811.92019
Beretta, Edoardo; Takeuchi, Yasuhiro
1995
Biased random walk models for chemotaxis and related diffusion approximations. Zbl 0434.92001
Alt, Wolfgang
1980
State-dependent impulsive models of integrated pest management (IPM) strategies and their dynamic consequences. Zbl 1080.92067
Tang, Sanyi; Cheke, Robert A.
2005
A simple SIS epidemic model with a backward bifurcation. Zbl 0961.92029
van den Driessche, P.; Watmough, James
2000
Analysis of a disease transmission model in a population with varying size. Zbl 0725.92021
Busenberg, S.; van den Driessche, P.
1990
To treat or not to treat: The case of tuberculosis. Zbl 0895.92024
Castillo-Chavez, Carlos; Feng, Zhilan
1997
Competition systems with periodic coefficients: A geometric approach. Zbl 0474.92015
De Mottoni, Piero; Schiaffino, Andrea
1981
Travelling wave solutions of diffusive Lotka-Volterra equations. Zbl 0509.92024
Dunbar, Steven R.
1983
Effects of toxicants on populations: a qualitative approach II. First order kinetics. Zbl 0548.92019
Hallam, T. G.; Clark, C. E.; Jordan, G. S.
1983
Predator-prey system with strong Allee effect in prey. Zbl 1232.92076
Wang, Jinfeng; Shi, Junping; Wei, Junjie
2011
A reaction-diffusion malaria model with incubation period in the vector population. Zbl 1232.92057
Lou, Yijun; Zhao, Xiao-Qiang
2011
Travelling front solutions of a nonlocal Fisher equation. Zbl 0982.92028
Gourley, S. A.
2000
Competition for fluctuating nutrient. Zbl 0525.92024
Hale, J. K.; Somolinos, A. S.
1983
A competitive exclusion principle for pathogen virulence. Zbl 0715.92027
Bremermann, H. J.; Thieme, H. R.
1989
A selection-migration model in population genetics. Zbl 0325.92009
Fleming, W. H.
1975
Chaos in three species food chains. Zbl 0823.92030
Klebanoff, Aaron; Hastings, Alan
1994
Travelling fronts in nonlinear diffusion equations. Zbl 0343.92009
1975
On the formulation and analysis of general deterministic structured population models. II. Nonlinear theory. Zbl 1028.92019
Diekmann, O.; Gyllenberg, M.; Huang, H.; Kirkilionis, M.; Metz, J. A. J.
2001
Predator-prey models with delay and prey harvesting. Zbl 1008.34066
Martin, Annik; Ruan, Shigui
2001
On the stability of the cell size distribution. Zbl 0543.92021
Diekmann, O.; Heijmans, H. J. A. M.; Thieme, H. R.
1984
Coexistence for systems governed by difference equations of Lotka- Volterra type. Zbl 0638.92019
Hofbauer, J.; Hutson, V.; Jansen, W.
1987
Nonlinear simulation of tumor growth. Zbl 1023.92013
Cristini, Vittorio; Lowengrub, John; Nie, Qing
2003
Chemotactic collapse for the Keller-Segel model. Zbl 0866.92009
Herrero, Miguel A.; Velázquez, Juan J. L.
1996
The effects of spatial heterogeneity in population dynamics. Zbl 0722.92018
Cantrell, R. S.; Cosner, C.
1991
Disease transmission models with density-dependent demographics. Zbl 0774.92018
Gao, Linda Q.; Hethcote, Herbert W.
1992
Modeling the role of viral disease in recurrent phytoplankton blooms. Zbl 0825.92122
Beltrami, Edward; Carroll, T. O.
1994
The evolution of dispersal rates in a heterogeneous time-periodic environment. Zbl 0996.92035
Hutson, V.; Mischaikow, K.; Poláčik, P.
2001
Mutual interactions, potentials, and individual distance in a social aggregation. Zbl 1054.92053
Mogilner, A.; Edelstein-Keshet, L.; Bent, L.; Spiros, A.
2003
On the formulation and analysis of general deterministic structured population models. I: Linear theory. Zbl 0909.92023
Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J.; Thieme, Horst R.
1998
Models for the effect of toxicant in single-species and predator-prey systems. Zbl 0825.92125
Freedman, H. I.; Shukla, J. B.
1991
Spatial segregation in competitive interaction-diffusion equations. Zbl 0425.92010
Mimura, Masayasu; Kawasaki, Kohkichi
1980
Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching. Zbl 1311.92039
Cristini, Vittorio; Li, Xiangrong; Lowengrub, John S.; Wise, Steven M.
2009
Multiple pulse interactions and averaging in systems of coupled neural oscillators. Zbl 0718.92004
Ermentrout, G. B.; Kopell, N.
1991
Implicit-explicit methods for reaction-diffusion problems in pattern formation. Zbl 0835.92006
Ruuth, Steven J.
1995
SIR dynamics in random networks with heterogeneous connectivity. Zbl 1143.92036
Volz, Erik
2008
Two species competition in a periodic environment. Zbl 0455.92012
Cushing, J. M.
1980
Parametric analysis of the ratio-dependent predator-prey model. Zbl 0995.92043
Berezovskaya, F.; Karev, G.; Arditi, R.
2001
Infinite subharmonic bifurcation in an SEIR epidemic model. Zbl 0523.92020
Schwartz, Ira B.; Smith, H. L.
1983
Derivation of hyperbolic models for chemosensitive movement. Zbl 1080.92014
Filbet, Francis; Laurençot, Philippe; Perthame, Benoît
2005
Persistence in population models with demographic fluctuations. Zbl 0606.92022
Hallam, Thomas G.; Zhien, Ma
1986
On the differential equations of species in competition. Zbl 0344.92009
Smale, S.
1976
Spatial patterning of the spruce budworm. Zbl 0412.92020
Ludwig, D.; Aronson, D. G.; Weinberger, H. F.
1979
A predator-prey reaction-diffusion system with nonlocal effects. Zbl 0840.92018
Gourley, S. A.; Britton, N. F.
1996
Epidemiological models with age structure, proportionate mixing, and cross-immunity. Zbl 0715.92028
Castillo-Chavez, C.; Hethcote, H. W.; Andreasen, V.; Levin, S. A.; Liu, W. M.
1989
Discrete-time travelling waves: Ecological examples. Zbl 0825.92126
Kot, Mark
1992
Global stability in two species interactions. Zbl 0362.92013
Goh, B. S.
1976
Isochrons and phaseless sets. Zbl 0345.92001
Guckenheimer, J.
1975
Evolutionary game dynamics in a Wright-Fisher process. Zbl 1110.92028
Imhof, Lorens A.; Nowak, Martin A.
2006
Persistence in reaction diffusion models with weak Allee effect. Zbl 1110.92055
Shi, Junping; Shivaji, Ratnasingham
2006
Spatio-temporal pattern formation on spherical surfaces: numerical simulation and application to solid tumour growth. Zbl 0988.92003
Chaplain, M. A. J.; Ganesh, M.; Graham, I. G.
2001
The dynamics of cocirculating influenza strains conferring partial cross-immunity. Zbl 0874.92023
Andreasen, Viggo; Lin, Juan; Levin, Simon A.
1997
The effects of the functional response on the bifurcation behavior of a mite predator-prey interaction model. Zbl 0890.92021
Collings, John B.
1997
Convergence to equilibrium states for a reaction-diffusion system modelling the spatial spread of a class of bacterial and viral diseases. Zbl 0468.92016
1981
A delayed-recruitment model of population dynamics, with an application to baleen whale populations. Zbl 0337.92011
Clark, C. W.
1976
Mathematical modeling of tumor-induced angiogenesis. Zbl 1109.92020
Mantzaris, Nikos V.; Webb, Steve; Othmer, Hans G.
2004
Pontryagin’s principle for control problems in age-dependent population dynamics. Zbl 0599.92017
Brokate, Martin
1985
Threshold and stability results for an age-structured epidemic model. Zbl 0742.92019
Inaba, H.
1990
Competitive exclusion in a two-species chemotaxis model. Zbl 1319.92050
Stinner, C.; Tello, J. I.; Winkler, M.
2014
Existence of traveling wave solutions in a diffusive predator-prey model. Zbl 1018.92026
Huang, Jianhua; Lu, Gang; Ruan, Shigui
2003
Epidemiological models for sexually transmitted diseases. Zbl 0643.92015
1988
Rich dynamics of a ratio-dependent one-prey two-predators model. Zbl 1007.34054
Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang
2001
Progression age enhanced backward bifurcation in an epidemic model with super-infection. Zbl 1097.92046
Martcheva, Maia; Thieme, Horst R.
2003
Numerical taxonomy with fuzzy sets. Zbl 0403.62039
Bezdek, J. C.
1974
A delay differential equation model for tumor growth. Zbl 1023.92014
2003
Persistence and coexistence in zooplankton-phytoplankton-nutrient models with instantaneous nutrient recycling. Zbl 0779.92021
Ruan, Shigui
1993
Turing conditions for pattern forming systems on evolving manifolds. Zbl 1456.35029
Van Gorder, Robert A.; Klika, Václav; Krause, Andrew L.
2021
Complete characterization of incorrect orthology assignments in best match graphs. Zbl 1460.92149
Schaller, David; Geiß, Manuela; Stadler, Peter F.; Hellmuth, Marc
2021
Control with uncertain data of socially structured compartmental epidemic models. Zbl 1467.92167
Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia
2021
Maximizing the total population with logistic growth in a patchy environment. Zbl 1456.49041
Nagahara, Kentaro; Lou, Yuan; Yanagida, Eiji
2021
Analytic solutions for stochastic hybrid models of gene regulatory networks. Zbl 1459.35362
Kurasov, Pavel; Mugnolo, Delio; Wolf, Verena
2021
A novel mathematical model of heterogeneous cell proliferation. Zbl 1460.92069
Vittadello, Sean T.; McCue, Scott W.; Gunasingh, Gency; Haass, Nikolas K.; Simpson, Matthew J.
2021
Dynamics of task allocation in social insect colonies: scaling effects of colony size versus work activities. Zbl 1466.34046
Feng, Tao; Charbonneau, Daniel; Qiu, Zhipeng; Kang, Yun
2021
Towards a replicator dynamics model of age structured populations. Zbl 1465.92073
Argasinski, Krzysztof; Broom, Mark
2021
Corrigendum to: “Best match graphs”. Zbl 07340472
Schaller, David; Geiß, Manuela; Chávez, Edgar; González Laffitte, Marcos; López Sánchez, Alitzel; Stadler, Bärbel M. R.; Valdivia, Dulce I.; Hellmuth, Marc; Hernández Rosales, Maribel; Stadler, Peter F.
2021
A general theory of coexistence and extinction for stochastic ecological communities. Zbl 1466.92226
Hening, Alexandru; Nguyen, Dang H.; Chesson, Peter
2021
Kinetic models with non-local sensing determining cell polarization and speed according to independent cues. Zbl 1432.92020
2020
Evolutionary dynamics of competing phenotype-structured populations in periodically fluctuating environments. Zbl 1434.35250
Ardaševa, Aleksandra; Gatenby, Robert A.; Anderson, Alexander R. A.; Byrne, Helen M.; Maini, Philip K.; Lorenzi, Tommaso
2020
The Fisher-KPP equation over simple graphs: varied persistence states in river networks. Zbl 1431.35074
Du, Yihong; Lou, Bendong; Peng, Rui; Zhou, Maolin
2020
Reciprocal best match graphs. Zbl 1433.05303
Geiß, Manuela; Stadler, Peter F.; Hellmuth, Marc
2020
Joining and decomposing reaction networks. Zbl 1439.13080
Gross, Elizabeth; Harrington, Heather; Meshkat, Nicolette; Shiu, Anne
2020
On models of physiologically structured populations and their reduction to ordinary differential equations. Zbl 1432.92071
Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J.
2020
Finite dimensional state representation of physiologically structured populations. Zbl 1433.92034
Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J.
2020
Oscillations in a white blood cell production model with multiple differentiation stages. Zbl 1440.34047
Knauer, Franziska; Stiehl, Thomas; Marciniak-Czochra, Anna
2020
The ESS for evolutionary matrix games under time constraints and its relationship with the asymptotically stable rest point of the replicator dynamics. Zbl 1435.91030
Varga, Tamás; Móri, Tamás F.; Garay, József
2020
Best match graphs and reconciliation of gene trees with species trees. Zbl 1434.05035
Geiß, Manuela; Laffitte, Marcos E. González; Sánchez, Alitzel López; Valdivia, Dulce I.; Hellmuth, Marc; Rosales, Maribel Hernández; Stadler, Peter F.
2020
On the minimum value of the Colless index and the bifurcating trees that achieve it. Zbl 1443.92126
Coronado, Tomás M.; Fischer, Mareike; Herbst, Lina; Rosselló, Francesc; Wicke, Kristina
2020
Asymptotic profiles of the steady states for an SIS epidemic patch model with asymmetric connectivity matrix. Zbl 1437.92114
Chen, Shanshan; Shi, Junping; Shuai, Zhisheng; Wu, Yixiang
2020
Evolution of dispersal in spatial population models with multiple timescales. Zbl 1433.92028
Cantrell, Robert Stephen; Cosner, Chris; Lewis, Mark A.; Lou, Yuan
2020
Bridging the gap between individual-based and continuum models of growing cell populations. Zbl 1432.92007
Chaplain, Mark A. J.; Lorenzi, Tommaso; Macfarlane, Fiona R.
2020
Infinitesimal homeostasis in three-node input-output networks. Zbl 1436.92009
Golubitsky, Martin; Wang, Yangyang
2020
The competitive exclusion principle in stochastic environments. Zbl 1435.92092
Hening, Alexandru; Nguyen, Dang H.
2020
Distribution of extreme first passage times of diffusion. Zbl 1456.92007
Lawley, Sean D.
2020
Transitions to slow or fast diffusions provide a general property for in-phase or anti-phase polarity in a cell. Zbl 1434.35260
Seirin-Lee, S.; Sukekawa, T.; Nakahara, T.; Ishii, H.; Ei, S.-I.
2020
Analysis of a predator-prey model with specific time scales: a geometrical approach proving the occurrence of canard solutions. Zbl 07169646
Poggiale, Jean-Christophe; Aldebert, Clément; Girardot, Benjamin; Kooi, Bob W.
2020
Evolutionarily stable movement strategies in reaction-diffusion models with edge behavior. Zbl 1433.92066
Maciel, Gabriel; Cosner, Chris; Cantrell, Robert Stephen; Lutscher, Frithjof
2020
The winner takes it all: how semelparous insects can become periodical. Zbl 1437.37117
Diekmann, Odo; Planqué, Robert
2020
Modelling chase-and-run migration in heterogeneous populations. Zbl 1432.92014
Colombi, A.; Scianna, M.; Painter, K. J.; Preziosi, L.
2020
Spatial pattern formation in reaction-diffusion models: a computational approach. Zbl 1432.92009
Hao, Wenrui; Xue, Chuan
2020
Basic reproduction ratios for periodic and time-delayed compartmental models with impulses. Zbl 1440.34086
Bai, Zhenguo; Zhao, Xiao-Qiang
2020
Global dynamics of SIR model with switched transmission rate. Zbl 1440.34044
Chladná, Zuzana; Kopfová, Jana; Rachinskii, Dmitrii; Rouf, Samiha C.
2020
Level-1 phylogenetic networks and their balanced minimum evolution polytopes. Zbl 1440.90021
Durell, Cassandra; Forcey, Stefan
2020
Localized outbreaks in an S-I-R model with diffusion. Zbl 1439.35490
Gai, Chunyi; Iron, David; Kolokolnikov, Theodore
2020
Modeling and dynamics of Wolbachia-infected male releases and mating competition on mosquito control. Zbl 1448.34106
Zhang, Xianghong; Liu, Qiyong; Zhu, Huaiping
2020
Population abundance of two-patch competitive systems with asymmetric dispersal. Zbl 1448.34102
Wang, Yuanshi; Wu, Hong; He, Yiyang; Wang, Zhihui; Hu, Kun
2020
Modelling physical limits of migration by a kinetic model with non-local sensing. Zbl 1434.92014
2020
Infection severity across scales in multi-strain immuno-epidemiological dengue model structured by host antibody level. Zbl 1439.92174
Gulbudak, Hayriye; Browne, Cameron J.
2020
Inside dynamics for stage-structured integrodifference equations. Zbl 1433.37083
Marculis, Nathan G.; Garnier, Jimmy; Lui, Roger; Lewis, Mark A.
2020
Coarse-graining molecular dynamics: stochastic models with non-Gaussian force distributions. Zbl 1434.82064
2020
Uncertainty quantification on a spatial Markov-chain model for the progression of skin cancer. Zbl 1431.60078
Vermolen, Fred; Pölönen, Ilkka
2020
Monotone dynamics and global behaviors of a West Nile virus model with mosquito demographics. Zbl 1433.92061
Qiu, Zhipeng; Wei, Xuerui; Shan, Chunhua; Zhu, Huaiping
2020
An almost periodic Ross-Macdonald model with structured vector population in a patchy environment. Zbl 1440.34051
Wang, Bin-Guo; Qiang, Lizhong; Wang, Zhi-Cheng
2020
Limit theorems for generalized density-dependent Markov chains and bursty stochastic gene regulatory networks. Zbl 1431.60083
Chen, Xian; Jia, Chen
2020
A systems-theoretic analysis of low-level human motor control: application to a single-joint arm model. Zbl 1432.92004
Brändle, Stefanie; Schmitt, Syn; Müller, Matthias A.
2020
On the conjecture for the pushed wavefront to the diffusive Lotka-Volterra competition model. Zbl 1431.35070
2020
Cannings models, population size changes and multiple-merger coalescents. Zbl 1451.92252
Freund, Fabian
2020
Canard-induced complex oscillations in an excitatory network. Zbl 07206471
Köksal Ersöz, Elif; Desroches, Mathieu; Guillamon, Antoni; Rinzel, John; Tabak, Joël
2020
An SIS model for the epidemic dynamics with two phases of the human day-to-day activity. Zbl 1443.92183
Seno, Hiromi
2020
A cell-cell repulsion model on a hyperbolic Keller-Segel equation. Zbl 1437.92018
Fu, Xiaoming; Griette, Quentin; Magal, Pierre
2020
Dynamic metabolic resource allocation based on the maximum entropy principle. Zbl 1443.92075
Tourigny, David S.
2020
Optimal open-loop desynchronization of neural oscillator populations. Zbl 1447.92208
Wilson, Dan
2020
Harvesting and seeding of stochastic populations: analysis and numerical approximation. Zbl 1441.91055
Hening, Alexandru; Tran, Ky Quan
2020
Long-lasting insecticidal nets and the quest for malaria eradication: a mathematical modeling approach. Zbl 1447.92218
Enahoro, Iboi; Eikenberry, Steffen; Gumel, Abba B.; Huijben, Silvie; Paaijmans, Krijn
2020
Global analysis of a predator-prey model with variable predator search rate. Zbl 1448.34099
Dalziel, Benjamin D.; Thomann, Enrique; Medlock, Jan; De Leenheer, Patrick
2020
Analysis and optimal control of an HIV model based on CD4 count. Zbl 1447.92432
Ishaku, A.; Gazali, A. M.; Abdullahi, S. A.; Hussaini, N.
2020
Modeling the role of macrophages in HIV persistence during antiretroviral therapy. Zbl 1447.37081
Guo, Ting; Qiu, Zhipeng; Rong, Libin
2020
On the effects of carrying capacity and intrinsic growth rate on single and multiple species in spatially heterogeneous environments. Zbl 1444.92088
Guo, Qian; He, Xiaoqing; Ni, Wei-Ming
2020
On real-valued SDE and nonnegative-valued SDE population models with demographic variability. Zbl 1448.60120
Allen, E. J.; Allen, L. J. S.; Smith, H. L.
2020
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## G = (S3×C20)⋊5C4order 480 = 25·3·5

### 1st semidirect product of S3×C20 and C4 acting via C4/C2=C2

Series: Derived Chief Lower central Upper central

 Derived series C1 — C30 — (S3×C20)⋊5C4
 Chief series C1 — C5 — C15 — C30 — C2×C30 — C6×Dic5 — Dic3×Dic5 — (S3×C20)⋊5C4
 Lower central C15 — C30 — (S3×C20)⋊5C4
 Upper central C1 — C22 — C2×C4

Generators and relations for (S3×C20)⋊5C4
G = < a,b,c,d | a20=b3=c2=d4=1, ab=ba, ac=ca, dad-1=a-1, cbc=b-1, bd=db, dcd-1=a10c >

Subgroups: 556 in 152 conjugacy classes, 68 normal (34 characteristic)
C1, C2 [×3], C2 [×2], C3, C4 [×2], C4 [×6], C22, C22 [×4], C5, S3 [×2], C6 [×3], C2×C4, C2×C4 [×9], C23, C10 [×3], C10 [×2], Dic3 [×2], Dic3 [×2], C12 [×2], C12 [×2], D6 [×2], D6 [×2], C2×C6, C15, C42 [×2], C22⋊C4 [×2], C4⋊C4 [×2], C22×C4, Dic5 [×4], C20 [×2], C20 [×2], C2×C10, C2×C10 [×4], C4×S3 [×4], C2×Dic3, C2×Dic3 [×2], C2×C12, C2×C12 [×2], C22×S3, C5×S3 [×2], C30 [×3], C42⋊C2, C2×Dic5 [×2], C2×Dic5 [×2], C2×C20, C2×C20 [×5], C22×C10, C4×Dic3 [×2], C4⋊Dic3, D6⋊C4 [×2], C3×C4⋊C4, S3×C2×C4, C5×Dic3 [×2], C3×Dic5 [×2], Dic15 [×2], C60 [×2], S3×C10 [×2], S3×C10 [×2], C2×C30, C4×Dic5 [×2], C4⋊Dic5, C4⋊Dic5, C23.D5 [×2], C22×C20, C4⋊C47S3, C6×Dic5 [×2], S3×C20 [×4], C10×Dic3, C2×Dic15 [×2], C2×C60, S3×C2×C10, C23.21D10, Dic3×Dic5 [×2], D6⋊Dic5 [×2], C3×C4⋊Dic5, C605C4, S3×C2×C20, (S3×C20)⋊5C4
Quotients: C1, C2 [×7], C4 [×4], C22 [×7], S3, C2×C4 [×6], C23, D5, D6 [×3], C22×C4, C4○D4 [×2], Dic5 [×4], D10 [×3], C4×S3 [×2], C22×S3, C42⋊C2, C2×Dic5 [×6], C22×D5, S3×C2×C4, D42S3, Q83S3, S3×D5, C4○D20 [×2], C22×Dic5, C4⋊C47S3, S3×Dic5 [×2], C2×S3×D5, C23.21D10, D205S3, D60⋊C2, C2×S3×Dic5, (S3×C20)⋊5C4

Smallest permutation representation of (S3×C20)⋊5C4
On 240 points
Generators in S240
(1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20)(21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40)(41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60)(61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80)(81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100)(101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120)(121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140)(141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160)(161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180)(181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200)(201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220)(221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240)
(1 89 134)(2 90 135)(3 91 136)(4 92 137)(5 93 138)(6 94 139)(7 95 140)(8 96 121)(9 97 122)(10 98 123)(11 99 124)(12 100 125)(13 81 126)(14 82 127)(15 83 128)(16 84 129)(17 85 130)(18 86 131)(19 87 132)(20 88 133)(21 177 57)(22 178 58)(23 179 59)(24 180 60)(25 161 41)(26 162 42)(27 163 43)(28 164 44)(29 165 45)(30 166 46)(31 167 47)(32 168 48)(33 169 49)(34 170 50)(35 171 51)(36 172 52)(37 173 53)(38 174 54)(39 175 55)(40 176 56)(61 145 232)(62 146 233)(63 147 234)(64 148 235)(65 149 236)(66 150 237)(67 151 238)(68 152 239)(69 153 240)(70 154 221)(71 155 222)(72 156 223)(73 157 224)(74 158 225)(75 159 226)(76 160 227)(77 141 228)(78 142 229)(79 143 230)(80 144 231)(101 187 219)(102 188 220)(103 189 201)(104 190 202)(105 191 203)(106 192 204)(107 193 205)(108 194 206)(109 195 207)(110 196 208)(111 197 209)(112 198 210)(113 199 211)(114 200 212)(115 181 213)(116 182 214)(117 183 215)(118 184 216)(119 185 217)(120 186 218)
(1 170)(2 171)(3 172)(4 173)(5 174)(6 175)(7 176)(8 177)(9 178)(10 179)(11 180)(12 161)(13 162)(14 163)(15 164)(16 165)(17 166)(18 167)(19 168)(20 169)(21 96)(22 97)(23 98)(24 99)(25 100)(26 81)(27 82)(28 83)(29 84)(30 85)(31 86)(32 87)(33 88)(34 89)(35 90)(36 91)(37 92)(38 93)(39 94)(40 95)(41 125)(42 126)(43 127)(44 128)(45 129)(46 130)(47 131)(48 132)(49 133)(50 134)(51 135)(52 136)(53 137)(54 138)(55 139)(56 140)(57 121)(58 122)(59 123)(60 124)(61 116)(62 117)(63 118)(64 119)(65 120)(66 101)(67 102)(68 103)(69 104)(70 105)(71 106)(72 107)(73 108)(74 109)(75 110)(76 111)(77 112)(78 113)(79 114)(80 115)(141 210)(142 211)(143 212)(144 213)(145 214)(146 215)(147 216)(148 217)(149 218)(150 219)(151 220)(152 201)(153 202)(154 203)(155 204)(156 205)(157 206)(158 207)(159 208)(160 209)(181 231)(182 232)(183 233)(184 234)(185 235)(186 236)(187 237)(188 238)(189 239)(190 240)(191 221)(192 222)(193 223)(194 224)(195 225)(196 226)(197 227)(198 228)(199 229)(200 230)
(1 209 180 160)(2 208 161 159)(3 207 162 158)(4 206 163 157)(5 205 164 156)(6 204 165 155)(7 203 166 154)(8 202 167 153)(9 201 168 152)(10 220 169 151)(11 219 170 150)(12 218 171 149)(13 217 172 148)(14 216 173 147)(15 215 174 146)(16 214 175 145)(17 213 176 144)(18 212 177 143)(19 211 178 142)(20 210 179 141)(21 79 131 200)(22 78 132 199)(23 77 133 198)(24 76 134 197)(25 75 135 196)(26 74 136 195)(27 73 137 194)(28 72 138 193)(29 71 139 192)(30 70 140 191)(31 69 121 190)(32 68 122 189)(33 67 123 188)(34 66 124 187)(35 65 125 186)(36 64 126 185)(37 63 127 184)(38 62 128 183)(39 61 129 182)(40 80 130 181)(41 226 90 110)(42 225 91 109)(43 224 92 108)(44 223 93 107)(45 222 94 106)(46 221 95 105)(47 240 96 104)(48 239 97 103)(49 238 98 102)(50 237 99 101)(51 236 100 120)(52 235 81 119)(53 234 82 118)(54 233 83 117)(55 232 84 116)(56 231 85 115)(57 230 86 114)(58 229 87 113)(59 228 88 112)(60 227 89 111)

G:=sub<Sym(240)| (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20)(21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40)(41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60)(61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80)(81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100)(101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120)(121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140)(141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160)(161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180)(181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200)(201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220)(221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240), (1,89,134)(2,90,135)(3,91,136)(4,92,137)(5,93,138)(6,94,139)(7,95,140)(8,96,121)(9,97,122)(10,98,123)(11,99,124)(12,100,125)(13,81,126)(14,82,127)(15,83,128)(16,84,129)(17,85,130)(18,86,131)(19,87,132)(20,88,133)(21,177,57)(22,178,58)(23,179,59)(24,180,60)(25,161,41)(26,162,42)(27,163,43)(28,164,44)(29,165,45)(30,166,46)(31,167,47)(32,168,48)(33,169,49)(34,170,50)(35,171,51)(36,172,52)(37,173,53)(38,174,54)(39,175,55)(40,176,56)(61,145,232)(62,146,233)(63,147,234)(64,148,235)(65,149,236)(66,150,237)(67,151,238)(68,152,239)(69,153,240)(70,154,221)(71,155,222)(72,156,223)(73,157,224)(74,158,225)(75,159,226)(76,160,227)(77,141,228)(78,142,229)(79,143,230)(80,144,231)(101,187,219)(102,188,220)(103,189,201)(104,190,202)(105,191,203)(106,192,204)(107,193,205)(108,194,206)(109,195,207)(110,196,208)(111,197,209)(112,198,210)(113,199,211)(114,200,212)(115,181,213)(116,182,214)(117,183,215)(118,184,216)(119,185,217)(120,186,218), (1,170)(2,171)(3,172)(4,173)(5,174)(6,175)(7,176)(8,177)(9,178)(10,179)(11,180)(12,161)(13,162)(14,163)(15,164)(16,165)(17,166)(18,167)(19,168)(20,169)(21,96)(22,97)(23,98)(24,99)(25,100)(26,81)(27,82)(28,83)(29,84)(30,85)(31,86)(32,87)(33,88)(34,89)(35,90)(36,91)(37,92)(38,93)(39,94)(40,95)(41,125)(42,126)(43,127)(44,128)(45,129)(46,130)(47,131)(48,132)(49,133)(50,134)(51,135)(52,136)(53,137)(54,138)(55,139)(56,140)(57,121)(58,122)(59,123)(60,124)(61,116)(62,117)(63,118)(64,119)(65,120)(66,101)(67,102)(68,103)(69,104)(70,105)(71,106)(72,107)(73,108)(74,109)(75,110)(76,111)(77,112)(78,113)(79,114)(80,115)(141,210)(142,211)(143,212)(144,213)(145,214)(146,215)(147,216)(148,217)(149,218)(150,219)(151,220)(152,201)(153,202)(154,203)(155,204)(156,205)(157,206)(158,207)(159,208)(160,209)(181,231)(182,232)(183,233)(184,234)(185,235)(186,236)(187,237)(188,238)(189,239)(190,240)(191,221)(192,222)(193,223)(194,224)(195,225)(196,226)(197,227)(198,228)(199,229)(200,230), (1,209,180,160)(2,208,161,159)(3,207,162,158)(4,206,163,157)(5,205,164,156)(6,204,165,155)(7,203,166,154)(8,202,167,153)(9,201,168,152)(10,220,169,151)(11,219,170,150)(12,218,171,149)(13,217,172,148)(14,216,173,147)(15,215,174,146)(16,214,175,145)(17,213,176,144)(18,212,177,143)(19,211,178,142)(20,210,179,141)(21,79,131,200)(22,78,132,199)(23,77,133,198)(24,76,134,197)(25,75,135,196)(26,74,136,195)(27,73,137,194)(28,72,138,193)(29,71,139,192)(30,70,140,191)(31,69,121,190)(32,68,122,189)(33,67,123,188)(34,66,124,187)(35,65,125,186)(36,64,126,185)(37,63,127,184)(38,62,128,183)(39,61,129,182)(40,80,130,181)(41,226,90,110)(42,225,91,109)(43,224,92,108)(44,223,93,107)(45,222,94,106)(46,221,95,105)(47,240,96,104)(48,239,97,103)(49,238,98,102)(50,237,99,101)(51,236,100,120)(52,235,81,119)(53,234,82,118)(54,233,83,117)(55,232,84,116)(56,231,85,115)(57,230,86,114)(58,229,87,113)(59,228,88,112)(60,227,89,111)>;

G:=Group( (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20)(21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40)(41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60)(61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80)(81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100)(101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120)(121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140)(141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160)(161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180)(181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200)(201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220)(221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240), (1,89,134)(2,90,135)(3,91,136)(4,92,137)(5,93,138)(6,94,139)(7,95,140)(8,96,121)(9,97,122)(10,98,123)(11,99,124)(12,100,125)(13,81,126)(14,82,127)(15,83,128)(16,84,129)(17,85,130)(18,86,131)(19,87,132)(20,88,133)(21,177,57)(22,178,58)(23,179,59)(24,180,60)(25,161,41)(26,162,42)(27,163,43)(28,164,44)(29,165,45)(30,166,46)(31,167,47)(32,168,48)(33,169,49)(34,170,50)(35,171,51)(36,172,52)(37,173,53)(38,174,54)(39,175,55)(40,176,56)(61,145,232)(62,146,233)(63,147,234)(64,148,235)(65,149,236)(66,150,237)(67,151,238)(68,152,239)(69,153,240)(70,154,221)(71,155,222)(72,156,223)(73,157,224)(74,158,225)(75,159,226)(76,160,227)(77,141,228)(78,142,229)(79,143,230)(80,144,231)(101,187,219)(102,188,220)(103,189,201)(104,190,202)(105,191,203)(106,192,204)(107,193,205)(108,194,206)(109,195,207)(110,196,208)(111,197,209)(112,198,210)(113,199,211)(114,200,212)(115,181,213)(116,182,214)(117,183,215)(118,184,216)(119,185,217)(120,186,218), (1,170)(2,171)(3,172)(4,173)(5,174)(6,175)(7,176)(8,177)(9,178)(10,179)(11,180)(12,161)(13,162)(14,163)(15,164)(16,165)(17,166)(18,167)(19,168)(20,169)(21,96)(22,97)(23,98)(24,99)(25,100)(26,81)(27,82)(28,83)(29,84)(30,85)(31,86)(32,87)(33,88)(34,89)(35,90)(36,91)(37,92)(38,93)(39,94)(40,95)(41,125)(42,126)(43,127)(44,128)(45,129)(46,130)(47,131)(48,132)(49,133)(50,134)(51,135)(52,136)(53,137)(54,138)(55,139)(56,140)(57,121)(58,122)(59,123)(60,124)(61,116)(62,117)(63,118)(64,119)(65,120)(66,101)(67,102)(68,103)(69,104)(70,105)(71,106)(72,107)(73,108)(74,109)(75,110)(76,111)(77,112)(78,113)(79,114)(80,115)(141,210)(142,211)(143,212)(144,213)(145,214)(146,215)(147,216)(148,217)(149,218)(150,219)(151,220)(152,201)(153,202)(154,203)(155,204)(156,205)(157,206)(158,207)(159,208)(160,209)(181,231)(182,232)(183,233)(184,234)(185,235)(186,236)(187,237)(188,238)(189,239)(190,240)(191,221)(192,222)(193,223)(194,224)(195,225)(196,226)(197,227)(198,228)(199,229)(200,230), (1,209,180,160)(2,208,161,159)(3,207,162,158)(4,206,163,157)(5,205,164,156)(6,204,165,155)(7,203,166,154)(8,202,167,153)(9,201,168,152)(10,220,169,151)(11,219,170,150)(12,218,171,149)(13,217,172,148)(14,216,173,147)(15,215,174,146)(16,214,175,145)(17,213,176,144)(18,212,177,143)(19,211,178,142)(20,210,179,141)(21,79,131,200)(22,78,132,199)(23,77,133,198)(24,76,134,197)(25,75,135,196)(26,74,136,195)(27,73,137,194)(28,72,138,193)(29,71,139,192)(30,70,140,191)(31,69,121,190)(32,68,122,189)(33,67,123,188)(34,66,124,187)(35,65,125,186)(36,64,126,185)(37,63,127,184)(38,62,128,183)(39,61,129,182)(40,80,130,181)(41,226,90,110)(42,225,91,109)(43,224,92,108)(44,223,93,107)(45,222,94,106)(46,221,95,105)(47,240,96,104)(48,239,97,103)(49,238,98,102)(50,237,99,101)(51,236,100,120)(52,235,81,119)(53,234,82,118)(54,233,83,117)(55,232,84,116)(56,231,85,115)(57,230,86,114)(58,229,87,113)(59,228,88,112)(60,227,89,111) );

G=PermutationGroup([(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20),(21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40),(41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60),(61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80),(81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100),(101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120),(121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140),(141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160),(161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180),(181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200),(201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220),(221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240)], [(1,89,134),(2,90,135),(3,91,136),(4,92,137),(5,93,138),(6,94,139),(7,95,140),(8,96,121),(9,97,122),(10,98,123),(11,99,124),(12,100,125),(13,81,126),(14,82,127),(15,83,128),(16,84,129),(17,85,130),(18,86,131),(19,87,132),(20,88,133),(21,177,57),(22,178,58),(23,179,59),(24,180,60),(25,161,41),(26,162,42),(27,163,43),(28,164,44),(29,165,45),(30,166,46),(31,167,47),(32,168,48),(33,169,49),(34,170,50),(35,171,51),(36,172,52),(37,173,53),(38,174,54),(39,175,55),(40,176,56),(61,145,232),(62,146,233),(63,147,234),(64,148,235),(65,149,236),(66,150,237),(67,151,238),(68,152,239),(69,153,240),(70,154,221),(71,155,222),(72,156,223),(73,157,224),(74,158,225),(75,159,226),(76,160,227),(77,141,228),(78,142,229),(79,143,230),(80,144,231),(101,187,219),(102,188,220),(103,189,201),(104,190,202),(105,191,203),(106,192,204),(107,193,205),(108,194,206),(109,195,207),(110,196,208),(111,197,209),(112,198,210),(113,199,211),(114,200,212),(115,181,213),(116,182,214),(117,183,215),(118,184,216),(119,185,217),(120,186,218)], [(1,170),(2,171),(3,172),(4,173),(5,174),(6,175),(7,176),(8,177),(9,178),(10,179),(11,180),(12,161),(13,162),(14,163),(15,164),(16,165),(17,166),(18,167),(19,168),(20,169),(21,96),(22,97),(23,98),(24,99),(25,100),(26,81),(27,82),(28,83),(29,84),(30,85),(31,86),(32,87),(33,88),(34,89),(35,90),(36,91),(37,92),(38,93),(39,94),(40,95),(41,125),(42,126),(43,127),(44,128),(45,129),(46,130),(47,131),(48,132),(49,133),(50,134),(51,135),(52,136),(53,137),(54,138),(55,139),(56,140),(57,121),(58,122),(59,123),(60,124),(61,116),(62,117),(63,118),(64,119),(65,120),(66,101),(67,102),(68,103),(69,104),(70,105),(71,106),(72,107),(73,108),(74,109),(75,110),(76,111),(77,112),(78,113),(79,114),(80,115),(141,210),(142,211),(143,212),(144,213),(145,214),(146,215),(147,216),(148,217),(149,218),(150,219),(151,220),(152,201),(153,202),(154,203),(155,204),(156,205),(157,206),(158,207),(159,208),(160,209),(181,231),(182,232),(183,233),(184,234),(185,235),(186,236),(187,237),(188,238),(189,239),(190,240),(191,221),(192,222),(193,223),(194,224),(195,225),(196,226),(197,227),(198,228),(199,229),(200,230)], [(1,209,180,160),(2,208,161,159),(3,207,162,158),(4,206,163,157),(5,205,164,156),(6,204,165,155),(7,203,166,154),(8,202,167,153),(9,201,168,152),(10,220,169,151),(11,219,170,150),(12,218,171,149),(13,217,172,148),(14,216,173,147),(15,215,174,146),(16,214,175,145),(17,213,176,144),(18,212,177,143),(19,211,178,142),(20,210,179,141),(21,79,131,200),(22,78,132,199),(23,77,133,198),(24,76,134,197),(25,75,135,196),(26,74,136,195),(27,73,137,194),(28,72,138,193),(29,71,139,192),(30,70,140,191),(31,69,121,190),(32,68,122,189),(33,67,123,188),(34,66,124,187),(35,65,125,186),(36,64,126,185),(37,63,127,184),(38,62,128,183),(39,61,129,182),(40,80,130,181),(41,226,90,110),(42,225,91,109),(43,224,92,108),(44,223,93,107),(45,222,94,106),(46,221,95,105),(47,240,96,104),(48,239,97,103),(49,238,98,102),(50,237,99,101),(51,236,100,120),(52,235,81,119),(53,234,82,118),(54,233,83,117),(55,232,84,116),(56,231,85,115),(57,230,86,114),(58,229,87,113),(59,228,88,112),(60,227,89,111)])

78 conjugacy classes

 class 1 2A 2B 2C 2D 2E 3 4A 4B 4C 4D 4E 4F 4G 4H 4I 4J 4K 4L 4M 4N 5A 5B 6A 6B 6C 10A ··· 10F 10G ··· 10N 12A 12B 12C 12D 12E 12F 15A 15B 20A ··· 20H 20I ··· 20P 30A ··· 30F 60A ··· 60H order 1 2 2 2 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 10 ··· 10 10 ··· 10 12 12 12 12 12 12 15 15 20 ··· 20 20 ··· 20 30 ··· 30 60 ··· 60 size 1 1 1 1 6 6 2 2 2 3 3 3 3 10 10 10 10 30 30 30 30 2 2 2 2 2 2 ··· 2 6 ··· 6 4 4 20 20 20 20 4 4 2 ··· 2 6 ··· 6 4 ··· 4 4 ··· 4

78 irreducible representations

 dim 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 4 4 4 4 4 4 4 type + + + + + + + + + + - + + + - + + - + - + image C1 C2 C2 C2 C2 C2 C4 S3 D5 D6 D6 C4○D4 Dic5 D10 D10 D10 C4×S3 C4○D20 D4⋊2S3 Q8⋊3S3 S3×D5 S3×Dic5 C2×S3×D5 D20⋊5S3 D60⋊C2 kernel (S3×C20)⋊5C4 Dic3×Dic5 D6⋊Dic5 C3×C4⋊Dic5 C60⋊5C4 S3×C2×C20 S3×C20 C4⋊Dic5 S3×C2×C4 C2×Dic5 C2×C20 C30 C4×S3 C2×Dic3 C2×C12 C22×S3 C20 C6 C10 C10 C2×C4 C4 C22 C2 C2 # reps 1 2 2 1 1 1 8 1 2 2 1 4 8 2 2 2 4 16 1 1 2 4 2 4 4

Matrix representation of (S3×C20)⋊5C4 in GL6(𝔽61)

 38 0 0 0 0 0 36 53 0 0 0 0 0 0 34 0 0 0 0 0 6 9 0 0 0 0 0 0 1 0 0 0 0 0 0 1
,
 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 60 1 0 0 0 0 60 0
,
 60 0 0 0 0 0 17 1 0 0 0 0 0 0 60 0 0 0 0 0 0 60 0 0 0 0 0 0 0 1 0 0 0 0 1 0
,
 7 8 0 0 0 0 55 54 0 0 0 0 0 0 51 1 0 0 0 0 21 10 0 0 0 0 0 0 1 0 0 0 0 0 0 1

G:=sub<GL(6,GF(61))| [38,36,0,0,0,0,0,53,0,0,0,0,0,0,34,6,0,0,0,0,0,9,0,0,0,0,0,0,1,0,0,0,0,0,0,1],[1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,60,60,0,0,0,0,1,0],[60,17,0,0,0,0,0,1,0,0,0,0,0,0,60,0,0,0,0,0,0,60,0,0,0,0,0,0,0,1,0,0,0,0,1,0],[7,55,0,0,0,0,8,54,0,0,0,0,0,0,51,21,0,0,0,0,1,10,0,0,0,0,0,0,1,0,0,0,0,0,0,1] >;

(S3×C20)⋊5C4 in GAP, Magma, Sage, TeX

(S_3\times C_{20})\rtimes_5C_4
% in TeX

G:=Group("(S3xC20):5C4");
// GroupNames label

G:=SmallGroup(480,414);
// by ID

G=gap.SmallGroup(480,414);
# by ID

G:=PCGroup([7,-2,-2,-2,-2,-2,-3,-5,56,120,422,100,1356,18822]);
// Polycyclic

G:=Group<a,b,c,d|a^20=b^3=c^2=d^4=1,a*b=b*a,a*c=c*a,d*a*d^-1=a^-1,c*b*c=b^-1,b*d=d*b,d*c*d^-1=a^10*c>;
// generators/relations

׿
×
𝔽


text:
# Homework Help: Estimating resistance of a wire

1. Sep 9, 2010

### jegues

1. The problem statement, all variables and given/known data
See figure.

2. Relevant equations
N/A.

3. The attempt at a solution

I'm not to sure how I'm suppose to estimate the resistance of the wire based on its length and diameter.

I'll take an educated guess and try to cancel units to get what I want.

If,

$$\rho = 5.5 * 10^{-8} \Omega m$$

Then I want to cancel the meters out and I'll be left with ohms which would be my estimated resistance for this filament.

But which measurement would I use to cancel my meters out? The length of the wire? (2cm in this case) Or the diameter of the wire? (25$$\mu$$m)

I thought of calculating the surface area of the circle at the tip of the wire, and summing up an infinite ammount of circles across the length of the wire and then trying to solve for the resistance, but I keep getting some pretty weird numbers.

Oh, and when it says compare your answer with the value obtained in part b, I obtained a reistance of 360 ohms.

Does anyone have any ideas on how to solve this?

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2. Sep 9, 2010

### Zryn

As the cross sectional area of a piece of wire increases (like water down a bigger pipe) there is less resistance. Therefore the resistance of the wire is inversely proportional to cross sectional area.

As the length of a piece of wire increases, there is more resistance (more force to get the water to the other end). Therefore the resistance of the wire is proportional to the length.

The last factor is a characteristic of the wire, known as the resistivity and designated the Greek symbol rho, which you are given.

Therefore, R = $$\frac{L*\rho}{A}$$

Note that this gives R = $$\frac{m*\Omega m}{m^{2}}$$ = $$\Omega$$


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# [Tex/LaTex] How to exclude certain slides from handout

beamer

I have a made a quite standard beamer (3.12) presentation. To make my long academic presentation a bit more interesting I have inserted some (really, only two or three) slides with "random" pictures like lolcats to keep it a bit humorous.

Now I want these slides to be a surprise, so they should not be visible on the handout. How can I prevent these slides to be included on my \documentclass[handout]{beamer} version?

You can add <handout:0> to the frame you want to hide, e.g.,

\documentclass[handout]{beamer}

\begin{document}

\begin{frame}
Hello.
\end{frame}

% this frame won't be included in the handout mode
\begin{frame}<handout:0>
I am a lolcat!
\end{frame}

\end{document}

Update: As Andrew suggested in the comment, you can use beamer:0 as well to hide it from the presentation. :) Besides, I agree with Andrew, please try to avoid lolcats at all costs, specially for academic purposes.

Too risky.