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# What is the taxanomy,main characteristics,pathogenicity,epidemiology diseases and treatments of the Ebola virus

###### Question:

What is the taxanomy,main characteristics,pathogenicity,epidemiology diseases and treatments of the Ebola virus

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## satellite73 one year ago what math teacher made up this question? Glenn needs 20 minutes to clean his room. If his little sister Veronika pulls things out while he is cleaning, it takes 60 minutes for him to clean the room. How many minutes does it take for Veronika to pull everything out?

1. Empty

I feel like the answer I want to give is not what they're thinking the answer _should_ be.

2. anonymous

my answer is five seconds , but the answer they want is 30 minutes has to be one of the dumbest questions i have seen lately !

3. Empty

I think the solution is simple: waterboarding.

4. anonymous

lol

5. UsukiDoll

why do they want 30 minutes though? just get a vacuum cleaner and get rid of all the junk in the room. Takes 5 seconds XD

6. anonymous

i know it is 30 minutes because of the answer choices given they want the solution to $\frac{1}{20}-\frac{1}{x}=\frac{1}{60}$ as if that has anything to do with it right to the "bad math" pile

7. Astrophysics

I remember you asking another question similar to this, it was the exact same solution

8. anonymous

must be a franchise franchise of math education majors

9. Empty

A franchise destined for Guantanamo Bay?

10. Astrophysics

lol

11. UsukiDoll

I didn't write those problems though lol. it's probably some mad person who wrote it and want to torture people x.x !

12. Astrophysics

I don't really understand this solution

13. Astrophysics

why 1/20-1/x=1/60

14. UsukiDoll

|dw:1439514833094:dw| gonna try to attempt this wazoo.

15. anonymous

why? takes twenty minutes rate is $$\frac{1}{20}$$ per minute

16. UsukiDoll

|dw:1439514896131:dw|

17. anonymous

then rate of destruction is $$\frac{1}{x}$$ and if you subtract you get the rate of $$\frac{1}{60}$$

18. anonymous

the "why" is a really good question though because none of it makes any sense

19. UsukiDoll

|dw:1439514962395:dw| wait whatttttttttttttttttt! I got 40 X(

20. anonymous

if they changed the words to "fill up a tank of water" and "drain a tank of water" then it would make much more sense

21. UsukiDoll

*lights a candle * *burns problem*

22. Astrophysics

Ooooh I had no clue, so that's what 1/x really meant bahaha they're adding the rate of mess. That's hilarious

23. Astrophysics

Now if you saw the standardized testing in the US...

24. UsukiDoll

oh found my error XD

25. UsukiDoll

|dw:1439515255171:dw|

26. anonymous

it is funny isn't it people who like standardized tests should read one some time

27. UsukiDoll

|dw:1439515301070:dw|

28. Astrophysics

@satellite73 If you have time to read something ridiculous that used to be on standardized testing or probably still is somewhere who knows...check this out (part of the english test, not long, but very ridiculous) http://usny.nysed.gov/docs/the-hare-and-the-pineapple.pdf

29. Empty

Lol which animal said the wisest words? That first question blew my mind.

30. Astrophysics

|dw:1439518398954:dw|

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Isometric graphics in Inkscape

Sometimes I find myself in need of making a schematic using an isometric projection. When the schematic is complicated the best shot is to use some CAD like FreeCAD, but sometimes it's just needed in simple diagrams. Another situation where this is a common needed is in video games, where "isometric art" and pixel art are pretty common.

What we want is depicted in the following figure.

That is, we want to start with some information that is drawn, or written in the case of the example, and we want to obtain how would it been seen on one of the faces of an isometric box.

Following, I will describe briefly the transformations involved in this process. If you are just interested in the recipe for doing this in Inkscape, skip to the end of this post.

Transformations involved

Since we are working on a computer screen, we are talking of 2 dimensions. Hence, all transformations are represented by 2×2 matrices. In the particular example of interest in this post we need the following transformations:

1. Vertical scaling
2. Horizontal skew
3. Rotation

Following are the transformation matrices.

Scaling in the vertical direction

The matrix is given by

\begin{equation*} M_\text{scaling} = \begin{bmatrix} 1 &0\\ 0 &a\end{bmatrix}\, , \end{equation*}

where $a$ is the scaling factor.

Horizontal skew

The matrix is given by

\begin{equation*} M_\text{skew} = \begin{bmatrix} 1 &\tan a\\ 0 &1\end{bmatrix}\, , \end{equation*}

where $a$ is the skewing angle.

Rotation

The matrix is given by

\begin{equation*} M_\text{rotation} = \begin{bmatrix} \cos a &-\sin a\\ \sin a &\cos a\end{bmatrix}\, , \end{equation*}

where $a$ is the rotation angle.

Complete transformation

The complete transformation is given by

\begin{equation*} M_\text{complete} = M_\text{rotation} M_\text{skew} M_\text{scaling}\, , \end{equation*}

particularly,

\begin{align*} &M_\text{side} = \frac{1}{2}\begin{bmatrix} \sqrt{3} & 0\\ -1 &2\end{bmatrix}\approx \begin{bmatrix} 0.866 & 0.000\\ -0.500 &1.000\end{bmatrix}\, , \\ &M_\text{front} = \frac{1}{2}\begin{bmatrix} \sqrt{3} & 0\\ 1 &2\end{bmatrix}\approx \begin{bmatrix} 0.866 & 0.000\\ 0.500 &1.000\end{bmatrix}\, , \\ &M_\text{plant} = \frac{1}{2}\begin{bmatrix} \sqrt{3} & -\sqrt{3}\\ -1 &1\end{bmatrix}\approx \begin{bmatrix} 0.866 & -0.866\\ 0.500 &0.500\end{bmatrix}\, . \end{align*}

The values seem a bit arbitrary, but they can be obtained from the isometric projection itself. But that explanation would be a bit too long for this post.

Tranformation in Inkscape

We already have the transformation matrices and we can use them in Inkscape. But first, we need to understand how it works. Inkscape, uses SVG, the web standard for vector graphics. Transformations in SVG are done using the following matrix

\begin{equation*} \begin{bmatrix} a &c &e\\ b &d &f\\ 0 &0 &1\end{bmatrix}\, , \end{equation*}

that uses homogeneous coordinates. So, one can just press Shift + Ctrl + M and type the components of the matrices obtaines above for $a$, $b$, $c$, and $d$; leaving $e$ and $f$ as zero.

My preferred method, though, is to apply each transformation after the other in the Transform dialog (Shift + Ctrl + M). And, this is the method presented in the cheatsheet at the bottom of this post.

TL;DR

If you are just interested in the transformations needed in Inkscape you can check the cheatsheet below. It uses third-angle as presented below.

Cheatsheet

Keep in mind that Inkscape treats clockwise rotation as positive. Opposite to common notation in mathematics.


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Application of Liouville's Theorem

Let $f(z)$ be an entire function such that $$|f(z)|<\frac{1}{|\text{Im}(z)|},\qquad z\in\Bbb C-\Bbb R.$$ The question asked me to prove that $f(z)=0$. At least looking at it, it really seems to have an application of Liouville's theorem lurking around somewhere, but I haven't found it.

My thoughts first led me to think about doing this by contradiction and using Picard's little theorem. So, I've considered a strip containing the real axis (say of width $2$ for simplicity). This will imply the complement maps into the unit disk, which implies that this strip has to map almost everywhere else on the complex plane. Now, on the imaginary axis, I know that $f(z)$ will vanish as $z\to\infty$, and this seems like it might be useful. I'm sort of under the impression $f(z)$ might have an essential singularity at $\infty$, which would mean $f(1/z)$ has an essential singularity at $0$. Either way, it of course can't have a pole at $\infty$ because of $f(z)$ vanishing on the imaginary axis, and if it is a removable singularity, it must be $0$, which still gives the solution. Therefore, I think it must have something to do with $f(z)$ having an essential singularity at $\infty$.

I was hoping to combine this with the above inequality and deduce a contradiction, but I haven't thought of one yet.

Any hints or suggestions? I'm studying for a prelim. exam, so this isn't homework.

Update: So, in the spirit of searching methods using the essential singularity at $z=0$, we have $$\left|f\left(\frac{1}{z}\right)\right|\leq\frac{1}{\left|\text{Im}\left(\frac{1}{z}\right)\right|}=\frac{|z|^2}{|y|}.$$ Thus, for $|y|>1$, we have $$\left|f\left(\frac{1}{z}\right)\right|<|y|\left|f\left(\frac{1}{z}\right)\right|<|z|^2.$$ Thus, if I can show that $|f(1/z)|$ is a polynomial, we'll know it can't have an essential singularity at the origin, concluding my proof.

• Do you know Jensen's inequality, the one for holomorphic functions (not for convex ones)? It's a corollary of Jensen's formula if you drop the sum over zeros. $$\log |f(a)|\le \frac{1}{2\pi}\int_0^{2\pi} \log|f(a+re^{it})|\,dt$$ – 75064 May 1 '13 at 3:52
• @user75064: Yes I know the inequality, but I am not quite sure how to apply it here. – Clayton May 1 '13 at 3:57
• Fix a real number $a$ (arbitrary) and let $r\to \infty$. – 75064 May 1 '13 at 4:06
• @user75064, no matter how large your circle is, there is always an arc with small imaginary part and there is no uniform bound on that arc. – user27126 May 1 '13 at 4:14
• @Sanchez Correct, but I don't need a uniform bound. See my answer below. – 75064 May 1 '13 at 4:23

Let $w \in \mathbb{C}$ and let $R > |w|$. We first bound the analytic function $(z^2 - R^2)f(z)$ on the circle $|z| = R$.

If $|z| = R$ and $\operatorname{Re}z \ge 0$, then

$$|(z- R)f(z)| \le \frac{|z - R|}{\operatorname{Im}z} = \sec \theta$$

where $\theta \in [0, \dfrac{\pi}{4}]$ so $|(z - R)f(z)| \le \sqrt{2}$.

For $\operatorname{Re} z \le 0$ and $|z| = R$, we have

$$|(z + R)f(z)| \le \sqrt{2}$$

Hence,

$$|(z^2 - R^2)f(z)| \le 3R$$

on $|z| = R$. By the maximum modulus principle the same bound holds in the interior of the disk $|z| \le R$ and so

$$|f(w)| \le \frac{3R}{|w^2 - R^2|}$$ Letting $R \to \infty$, we get the desired result.

• Where does the $3R$ come from? – Clayton May 1 '13 at 4:38
• @Clayton, I was just wondering that myself. A sharper bound is $2\sqrt{2} R$, since the point on $|z| = R$ farthest from $\pm R$ is $\mp R$ at a distance of $2R$. It looks like this was rounded up to $3R$. – Antonio Vargas May 1 '13 at 4:41
• @Clayton $|z - R||z + R||f(z)| \le 2\sqrt{2}R$ – Ink May 1 '13 at 4:42
• Okay, I was wondering about that. Last question: Why is $\theta\in[0,\pi/4]$? I think I have a vague idea, just not 100% sure. – Clayton May 1 '13 at 4:50
• Nice answer! A little simplification of your argument: when $|z|=R$, $|z^2-R^2|=|z^2-z\bar{z}|=|z||z-\bar{z}|=2R|\mathrm{Im}(z)|$. @AntonioVargas, so $2R$ is a better bound. – Hu Zhengtang May 1 '13 at 5:57

Let $\sum_{n=0}^\infty a_n z^n$ be the Taylor expansion of $f(z)$. Also denote $a_{-1}=a_{-2}=0$. By definition, $$a_n=\frac{1}{2\pi i}\int_{|z|=R}\frac{f(z)}{z^{n+1}}dz,\quad\forall n\ge -2,\, \forall R>0.\tag{1}$$

Note that $\mathrm{Im} (z)=\frac{z-\bar{z}}{2i}$, so when $|z|=R$, $$\mathrm{Im} (z)=\frac{z-\frac{R^2}{z}}{2i}.\tag{2}$$ Substituting $(2)$ into $(1)$, we have $$a_{n-1}-R^2 a_{n+1}=\frac{1}{\pi}\int_{|z|=R}\frac{\mathrm{Im} (z)\cdot f(z)}{z^{n+1}}dz,\quad\forall n\ge -1,\, \forall R>0.\tag{3}$$ By the assumption of $f$ and continuity, $|\mathrm{Im} (z)\cdot f(z)|\le 1$ on $\mathbb{C}$. Then from $(3)$ we know $$|a_{n-1}-R^2a_{n+1}|\le \frac{2}{R^n},\quad\forall n\ge -1,\, \forall R>0.\tag{4}$$

Given $n\ge -1$, dividing both sides of $(4)$ by $R^2$ and letting $R\to \infty$, we have $a_{n+1}=0$. Therefore, all the coefficients of the Taylor expansion of $f$ are $0$, i.e. $f\equiv 0$.

• Nice, but do you really need induction? Letting $R\to\infty$ in (4) immediately gives $a_{n+1}=0$ and $a_{n-1}=0$. – 75064 May 1 '13 at 4:16
• @user75064: Yes, you are right. Thank you! – 23rd May 1 '13 at 4:19
• @user75064: I have edited my answer based on your suggestion. Thank you again. – 23rd May 1 '13 at 4:24
• I'm really not sure I follow the steps to $(3)$. Could you elaborate just a little? Thanks. – Clayton May 1 '13 at 4:26
• @Landscape: I know your proof didn't use my ideas exactly, but I didn't see any reason for the bounty to go to waste. Your approach seemed most direct, so I liked it. I'm still thinking on how to solve it using my original thoughts. I went to a professor and his thoughts matched mine identically up to this point, at which he got stuck as well. – Clayton May 11 '13 at 17:52

"Me too!" Fix an arbitrary $a\in \mathbb R$. By Jensen's inequality for every $r>0$ we have $$\begin{split} 2\pi \log|f(a)| &\le \int_0^{2\pi} \log|f(a+re^{it})|\,dt \le \int_0^{2\pi} \log(|r\sin t|^{-1})\,dt \\ &= -2\pi\log r- \int_0^{2\pi} \log(|\sin t|)\,dt \end{split}$$ The integral on the right is finite, because $\log |x|$ is integrable near $0$. Let $r\to \infty$ to conclude $f(a)=0$. Since $f$ vanishes on $\mathbb R$, it vanishes identically.

By the way, this works equally well for bounds like $|f(z)|\le 1/|\mathrm{Im}\,z|^{N}$ or even $|f(z)|\le \exp( 1/|\mathrm{Im}\,z|^{1-\epsilon})-1$. Fails with the assumption $|f(z)|\le \exp( 1/|\mathrm{Im}\,z|)-1$, probably for a good reason.

• Probably the next thing I'll attempt will be showing it for the exponential bound. Thanks! – Clayton May 1 '13 at 4:34
• This is nice, yet the "...because $\,\log|x|\,$ is integrable near zero" part is a little shaky, unless the OP knows this: $$\lim_{\epsilon\to 0^+}\int\limits_e^a\log x\,dx=\lim_{\epsilon\to 0}\left.\left(x\log x-x\right)\right|_\epsilon^a=\text{finite}$$ since $\,x\log x\xrightarrow[x\to 0^+]{}0\,$ – DonAntonio May 1 '13 at 11:55
• @DonAntonio: Thanks, but it seems pretty obvious. I think most calculus II students should be able to show something like that. – Clayton May 1 '13 at 14:29
• I think you're right, @Clayton . Thanks. – DonAntonio May 1 '13 at 18:16
• Nice application of Jensen's. Two small remarks. The first integral should have $a + r e^{it}$ instead of $re^{it}$ and in the last expression it should be $-2\pi \log(r)$. – WimC May 1 '13 at 19:08


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# Updating the inverse of a matrix

The Math Overflow link provided by @amoeba on "efficient rank-two updates of an eigenvalue decomposition" is a great first step if you want to start looking deeper into the matter; the first paper provides an explicit solution to your specific question.Just to clarify what rank-one and rank-two mean so you do not get confused, if your new $A^*$ is such that: \begin A^* = A - uv^T \end Where $u$ and $v$ are vectors then you refer to this as a rank-one update (or ).I would argue that we should try to make the information provided on this site as self-sustained as possible.

" from the Computational Science SE gives a number of MATLAB and C implementations that you may want to consider. implementation are wrappers around C, C or FORTRAN implementations.

1 to both you and @whuber (and I don't think that "duplicating" any information provided on another SE site is to be avoided!

The accuracy of the trained classifier crucially depends on these features, its time complexity on their number.

As the number of available features is immense in most real-world problems, it becomes essential to use meta-heuristics for feature selection and/or feature optimization.

Otherwise, if I am correct, the formula gives you only a general inverse, and correction using the null space is required to make it the desired pseudo-inverse. This might be useful: "Similarly, it is possible to update the Cholesky factor when a row or column is added, without creating the inverse of the correlation matrix explicitly.


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# Multi-Zone finally working on ESSEX but cant "nova list" (KeyError: 'uuid') + doubts

Hey guys, we finally got MultiZone working on Essex with KVM as hypervisor (trunk version 2012.1-dev (2012.1-LOCALBRANCH:LOCALREVISION)) we have one Parent zone and one child zone (named "zoneE") all integrated with keystone ( nova, glance ) and we are able to spawn instances across both zones ! After making this work after a couple of days of work, configuration and debbuging we have one doubt, and one ERROR. So, lets hope you can help us on both of them.

THE DOUBT: This is deffinitely because we dont clearly understand the whole concept but, why is that "nova.scheduler.least_cost.weighted_sum" function chooses as prefered host the LESS RAM memory host ? this seems to choose just one host till is fully depleted, and then, chooses the other one ! that doesnt sound like a good way of balancing instances across the zones by default, so, since we didnt know how to fix that behavior, just added a "reverse=True" in the sorted functions, so problem "fixed". The thing is, if there is (maybe trough nova.conf) a way of controlling this ( the sort order ), can any one shed some light on how to do it ?

THE ERROR / BUG: At the moment that you spawn successfully an instance from the parent zone, to the child zone (the instance is successfully spawned and running on the child zone) the "nova list" (or curl to server/detail) to the parent zone just BROKE. It apperars that when the parent zone calls the "server/detail" of the child zone, the json returned by the child, has the "uuid" field printed into the "id" field, so you can see on nova-api.log, having a keyerror "uuid" that breaks the call, you can check the pasteBin link below, or you can keep reading and watch the nova-api.log stack from here.

Waiting for some feedback ! Cheers! Alejandro.

http://pastebin.com/VGt8A3HX

## ENTIRE NOVA-API STACK TRACE:

2012-01-25 14:42:15,793 DEBUG nova [-] HTTP PERF: 0.10457 seconds to GET 172.16.146.139:35357 /v2.0/tokens/8de5e217-9615-443c-8b7e-09cabf4b4af8) from (pid=7488) getresponse /usr/local/lib/python2.6/dist-packages/keystone-1.0-py2.6.egg/keystone/common/bufferedhttp.py:99 2012-01-25 14:42:15,894 DEBUG nova [-] HTTP PERF: 0.10093 seconds to GET 172.16.146.139:35357 /v2.0/tokens/8de5e217-9615-443c-8b7e-09cabf4b4af8) from (pid=7488) getresponse /usr/local/lib/python2.6/dist-packages/keystone-1.0-py2.6.egg/keystone/common/bufferedhttp.py:99 2012-01-25 14:42:15,897 DEBUG routes.middleware [2d3d5746-6718-4d2f-bb7d-3587cff052db dsmadmin 9574193127d1439fb09d1c0ef3eb26d5] Matched GET /9574193127d1439fb09d1c0ef3eb26d5/servers/detail from (pid=7488) __call__ /usr/lib/pymodules/python2.6/routes/middleware.py:100 2012-01-25 14:42:15,897 DEBUG routes.middleware [2d3d5746-6718-4d2f-bb7d-3587cff052db dsmadmin 9574193127d1439fb09d1c0ef3eb26d5] Route path: '/:(project_id)/servers/:(id)', defaults: {'action': u'process', 'controller': } from (pid=7488) __call__ /usr/lib/pymodules/python2.6/routes/middleware.py:102 2012-01-25 14:42:15,898 DEBUG routes.middleware [2d3d5746-6718-4d2f-bb7d-3587cff052db dsmadmin 9574193127d1439fb09d1c0ef3eb26d5] Match dict: {'action': u'process', 'controller': , 'project_id': u'9574193127d1439fb09d1c0ef3eb26d5', 'id': u'detail'} from (pid=7488) __call__ /usr/lib/pymodules/python2.6/routes/middleware ...

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Zones is going through some radical changes currently.

Specifically, we're planning to use direct Rabbit-to-Rabbit communication between trusted Zones to avoid the complication of changes to OS API, Keystone and novaclient.

To the user deploying Nova not much will change, there may be a new service to deploy (a Zones service), but that would be all. To a developer, the code in OS API will greatly simplify and the Distributed Scheduler will be able to focus on single zone scheduling (vs doing both zone and host scheduling as it does today).

We'll have more details soon, but we aren't planning on introducing the new stuff until we have a working replacement in place. The default Essex Scheduler now will largely be the same and the filters/weight functions will still carry forward, so any investments there won't be lost.

Stay tuned, we're hoping to get all this in a new blueprint soon.

Hope it helps, Sandy

From: bounces@canonical.com [bounces@canonical.com] on behalf of Alejandro Comisario [question185840@answers.launchpad.net] Sent: Thursday, January 26, 2012 8:50 AM To: Sandy Walsh Subject: Re: [Question #185840]: Multi-Zone finally working on ESSEX but cant "nova list" (KeyError: 'uuid') + doubts

Status: Answered => Open

Alejandro Comisario is still having a problem: Sandy, Vish !

Thanks for the replies ! let me get to the relevant points.

#1 I totally agree with you guys, the policy for spawning instances maybe very special of each company strategy, but, as you can pass from "Fill First" to "Spread First" just adding a "reverse=True" on nova.scheduler.least_cost.weighted_sum" and "nova.scheduler.distributed_scheduler._schedule" maybe its a harmless addition to manipulate (since we are going to have a lot of zones across datacenters, and many different departments are going to create many instances to load-balance their applications, we really preffer SpreadFirst to make sure hight availability of the pools )

#2 As we are going to test essex-3, i would like if you can tell me if the zones code from Chris Behrens is going to be added on Final Essex / Milestone 4, so we can keep testing other features, or you preffer us to load this as a bug to be fixed since maybe the code that broke is not going to have major changes.

Kindest regards !

You received this question notification because you are a member of Nova Core, which is an answer contact for OpenStack Compute (nova).

more

Sandy, Vish !

Thanks for the replies ! let me get to the relevant points.

#1 I totally agree with you guys, the policy for spawning instances maybe very special of each company strategy, but, as you can pass from "Fill First" to "Spread First" just adding a "reverse=True" on nova.scheduler.least_cost.weighted_sum" and "nova.scheduler.distributed_scheduler._schedule" maybe its a harmless addition to manipulate (since we are going to have a lot of zones across datacenters, and many different departments are going to create many instances to load-balance their applications, we really preffer SpreadFirst to make sure hight availability of the pools )

#2 As we are going to test essex-3, i would like if you can tell me if the zones code from Chris Behrens is going to be added on Final Essex / Milestone 4, so we can keep testing other features, or you preffer us to load this as a bug to be fixed since maybe the code that broke is not going to have major changes.

Kindest regards !

more

Perfect ! we are gonna stop then looking for bugs, and wait for the commit of zones implementation !

Thanks Sandy.

more

Zones worked with Diablo, to some extent.

But the Zone code was pulled from the final version of Essex.

Zones are being replaced by cells in Folsom.

I hope that helps.

more

Nice.

The Less Ram thing is to enforce Fill First (vs Spread First). But obviously each company is going to have their own strategies for how they want it to behave.

-S

From: bounces@canonical.com [bounces@canonical.com] on behalf of Alejandro Comisario [question185840@answers.launchpad.net] Sent: Wednesday, January 25, 2012 5:01 PM To: Sandy Walsh Subject: [Question #185840]: Multi-Zone finally working on ESSEX but cant "nova list" (KeyError: 'uuid') + doubts

Hey guys, we finally got MultiZone working on Essex with KVM as hypervisor (trunk version 2012.1-dev (2012.1-LOCALBRANCH:LOCALREVISION)) we have one Parent zone and one child zone (named "zoneE") all integrated with keystone ( nova, glance ) and we are able to spawn instances across both zones ! After making this work after a couple of days of work, configuration and debbuging we have one doubt, and one ERROR. So, lets hope you can help us on both of them.

THE DOUBT: This is deffinitely because we dont clearly understand the whole concept but, why is that "nova.scheduler.least_cost.weighted_sum" function chooses as prefered host the LESS RAM memory host ? this seems to choose just one host till is fully depleted, and then, chooses the other one ! that doesnt sound like a good way of balancing instances across the zones by default, so, since we didnt know how to fix that behavior, just added a "reverse=True" in the sorted functions, so problem "fixed". The thing is, if there is (maybe trough nova.conf) a way of controlling this ( the sort order ), can any one shed some light on how to do it ?

THE ERROR / BUG: At the moment that you spawn successfully an instance from the parent zone, to the child zone (the instance is successfully spawned and running on the child zone) the "nova list" (or curl to server/detail) to the parent zone just BROKE. It apperars that when the parent zone calls the "server/detail" of the child zone, the json returned by the child, has the "uuid" field printed into the "id" field, so you can see on nova-api.log, having a keyerror "uuid" that breaks the call, you can check the pasteBin link below, or you can keep reading and watch the nova-api.log stack from here.

Waiting for some feedback ! Cheers! Alejandro.

http://pastebin.com/VGt8A3HX

## ENTIRE NOVA-API STACK TRACE:

2012-01-25 14:42:15,793 DEBUG nova [-] HTTP PERF: 0.10457 seconds to GET 172.16.146.139:35357 /v2.0/tokens/8de5e217-9615-443c-8b7e-09cabf4b4af8) from (pid=7488) getresponse /usr/local/lib/python2.6/dist-packages/keystone-1.0-py2.6.egg/keystone/common/bufferedhttp.py:99 2012-01-25 14:42:15,894 DEBUG nova [-] HTTP PERF: 0.10093 seconds to GET 172.16.146.139:35357 /v2.0/tokens/8de5e217-9615-443c-8b7e-09cabf4b4af8) from (pid=7488) getresponse /usr/local/lib/python2.6/dist-packages/keystone-1.0-py2.6.egg/keystone/common/bufferedhttp.py:99 2012-01-25 14:42 ...

more

Nice work!

The second definitely seems like a bug. The first I suspect is a bug as well, but I will let sandy comment on that one. FYI, the zones stuff is being reworked by Chris Behrens to allow for more efficient calls. He's doing his best to not break the existing zones code, but this will hopefully be much easier once his code arrives.

Vish

On Jan 25, 2012, at 1:01 PM, Alejandro Comisario wrote:

Hey guys, we finally got MultiZone working on Essex with KVM as hypervisor (trunk version 2012.1-dev (2012.1-LOCALBRANCH:LOCALREVISION)) we have one Parent zone and one child zone (named "zoneE") all integrated with keystone ( nova, glance ) and we are able to spawn instances across both zones ! After making this work after a couple of days of work, configuration and debbuging we have one doubt, and one ERROR. So, lets hope you can help us on both of them.

THE DOUBT: This is deffinitely because we dont clearly understand the whole concept but, why is that "nova.scheduler.least_cost.weighted_sum" function chooses as prefered host the LESS RAM memory host ? this seems to choose just one host till is fully depleted, and then, chooses the other one ! that doesnt sound like a good way of balancing instances across the zones by default, so, since we didnt know how to fix that behavior, just added a "reverse=True" in the sorted functions, so problem "fixed". The thing is, if there is (maybe trough nova.conf) a way of controlling this ( the sort order ), can any one shed some light on how to do it ?

THE ERROR / BUG: At the moment that you spawn successfully an instance from the parent zone, to the child zone (the instance is successfully spawned and running on the child zone) the "nova list" (or curl to server/detail) to the parent zone just BROKE. It apperars that when the parent zone calls the "server/detail" of the child zone, the json returned by the child, has the "uuid" field printed into the "id" field, so you can see on nova-api.log, having a keyerror "uuid" that breaks the call, you can check the pasteBin link below, or you can keep reading and watch the nova-api.log stack from here.

Waiting for some feedback ! Cheers! Alejandro.

http://pastebin.com/VGt8A3HX

## ENTIRE NOVA-API STACK TRACE:

2012-01-25 14:42:15,793 DEBUG nova [-] HTTP PERF: 0.10457 seconds to GET 172.16.146.139:35357 /v2.0/tokens/8de5e217-9615-443c-8b7e-09cabf4b4af8) from (pid=7488) getresponse /usr/local/lib/python2.6/dist-packages/keystone-1.0-py2.6.egg/keystone/common/bufferedhttp.py:99 2012-01-25 14:42:15,894 DEBUG nova [-] HTTP PERF: 0.10093 seconds to GET 172.16.146.139:35357 /v2.0/tokens/8de5e217-9615-443c-8b7e-09cabf4b4af8) from (pid=7488) getresponse /usr/local/lib/python2.6/dist-packages/keystone-1.0-py2.6.egg/keystone/common/bufferedhttp.py:99 2012-01-25 14:42:15,897 DEBUG ...

more

Hi,

I'm trying to setup a multi-zone nova setup but have some doubts regarding the same. I've already worked with multi-node(computes) type of setup and was quite successful with it. May i know the configurations that need to be done/changed to setup a multi-zone setup.

I'm trying to setup multi-zone setup on following topology: - 2 nova zones(All components of nova) - 1 Parent Node(API+SCHEDULER+MYSQL+RABBITMQ)

I'm not sure about how can i add the child zones(2 nova zones) to my parent zone.

Appreciate any help on this...!

more


text:
# What is the area of the Circle? The circle has no radius.

###### Question:

What is the area of the Circle? The circle has no radius.

### Is 2/3 greater than 5/7

is 2/3 greater than 5/7...

### Answer and get 15 points please i will mark brainliest within 24 hours please I have limited time

Answer and get 15 points please i will mark brainliest within 24 hours please I have limited time...

### Can anyone write 10 Spanish sentences about random daily activities with a different stem-changing verb in each one???

Can anyone write 10 Spanish sentences about random daily activities with a different stem-changing verb in each one???...

### How many ways can 5 friends sit together at the movies in 5 seats?

how many ways can 5 friends sit together at the movies in 5 seats?...

### What's next in this sequence? 4, 8, 16, 32, 64,

What's next in this sequence? 4, 8, 16, 32, 64,...

### How is a sea lion digestive system different than a human digestive system

how is a sea lion digestive system different than a human digestive system...

### Can someone pls show how to do this is with explanation

Can someone pls show how to do this is with explanation...

### Wedgewood became one of the fathers of and marketing

Wedgewood became one of the fathers of and marketing...

### Please what is the derivative of y=cos(^7)base x

please what is the derivative of y=cos(^7)base x...

### Define law of substitution

Define law of substitution ...

### Which expression is equivalent to 2(3g - 4) - (8g + 3)?

Which expression is equivalent to 2(3g - 4) - (8g + 3)?...

### How dose ser work in spanish. I already know that yo soy tu eresAnd all the other i just don't get how to added to sentences.

How dose ser work in spanish. I already know that yo soy tu eresAnd all the other i just don't get how to added to sentences....

### Why is it important for credibility that immigration statistics on the US State Department’s website are updated regularly? ⚪ It shows that the site is neutral. ⚪ It ensures current information. ⚪ It represents data from multiple sources. ⚪ It provides users with secondary sources.

Why is it important for credibility that immigration statistics on the US State Department’s website are updated regularly? ⚪ It shows that the site is neutral. ⚪ It ensures current information. ...

### Simplify the expression. 8.8 + 3.2y − 0.5(16y − 3)

Simplify the expression. 8.8 + 3.2y − 0.5(16y − 3)...

### Which state neither belonged to the French empire nor was at war with it

Which state neither belonged to the French empire nor was at war with it...


text:
Infinite series can represent functions.

If we refuse to truncate a Taylor polynomial, and instead allow it to be a series (an infinite sum) we call it a power series.
Which of the following are power series functions?
$f(x) = 0$ $f(x) = -9$ $f(x) = 3x+1$ $f(x) = x^{1/2}-x +8$ $f(x) = -4x^{-3}+5x^{-1}+7-18x^2$ $f(x) = x^{-3}+x^{-2}+x^{-1}+1+x+x^2+x^3 +\cdots$ $f(x) = \frac {x^2 - 3x + 2}{x-2}$ $f(x) = x^7-32x^6-\pi x^3+45/84$ $f(x) = x^{10} + x^{20} + x^{30} + \cdots$
Every polynomial is a power series.

Here are four basic power series (centered at zero) that every mathematician knows.

Next to each of the series, we list an interval which will correspond to the domain of the series. Using power series we can “read-off” properties of functions. Here are some examples.

• We can easily see that $e^0 =1$, $\sin (0)=0$, and $\cos (0) =1$.
• Since every power of $x$ in the power series for sine is odd, we can see that sine is an odd function. Likewise, since every power of $x$ in the power series for cosine is even, we can see cosine is an even function.
• Limits like are “easy” to compute, since they can be rewritten as follows.

and

• Power series give us methods to actually compute values for these functions.

### Convergence of power series

You may have noticed a small caveat above. The caveat is the “$|x|<1$,” which we referred to as something like the domain of the function. This restriction is required because if our formula is true, then for any number $r$, provided that $|r|<1$, we have and the expression on the right-hand side of the equation above is a geometric series! As we’ve learned, geometric series only converge when the common ratio (in this case $r$) is between $-1$ and $1$ noninclusive. If we look at a graph of $y = \frac {1}{1-x}$ along with a graph of $y = 1+ x+ x^2 + x^3 + \cdots$ we see

True or False:
true false
True or False:
true false

Our next theorem tells us what possible scenarios we could encounter when investigating convergence of power series.

True or False: A power series always converges when $x=c$.
true false
True or False: If then $f(c) = 0$.
true false

Power series are both similar to and different from the series we’ve previously studied. When we fix some value for $x$, we are working with the sort of series we’ve already studied - a series of numbers. In this way, we can use all of our previous tools for working with series. We can also let $x$ be a variable, and consider our power series as a function. Because power series can define functions, we no longer exclusively talk about convergence at a point, instead we talk about the radius and interval of convergence.

In the previous definition, the interval of convergence depends on the series. We must separately consider the behavior of a power series at the endpoints of its interval of convergence. In other words, we plug in values for $x$, and consider the series as a series of numbers!

Suppose you know that converges when $x =7$ and diverges when $x = -1$. Must the series converge at $x=4$?
yes no there is not enough information

How do we check for radius of convergence? Two old friends can come to the rescue: the ratio and root tests.

While the ratio and root test are good for determining the radius of convergence of a power series, they are useless for determining convergence at the end-points of the interval. Let’s see an example:

Let’s work through an example of a power series that only converges at a single point.

### New power series from old

With the basic power series above, we can produce new power series via algebraic manipulation.

In our first example we will derive Euler’s famous formula where $i$ is the number $i^2=-1$.

Euler’s formula $e^{ix} = \cos (x) + i \sin (x)$ allows us to produce (by setting $x=\pi$) the amazing identity: This identity combines the fundamental constants, $0$, $1$, $i$, $\pi$ and $e$, along with the fundamental operations of addition, multiplication, and exponentiation!

A few notes about the theorem above:
• The theorem states that differentiation and integration do not change the radius of convergence. It does not state anything about the interval of convergence. They are not always the same. Check the endpoints!
• Notice how the summation for $f'(x)$ starts with $n=1$. This is because the derivative of the constant term $a_0$ of $f(x)$ is $0$.
• Differentiation and integration are simply calculated term-by-term using the power rule.

Let’s see an example.


text:
How to make the bullet stop accurately when destination is reached?

In the below code, is the method I use to move a bullet to its destination and stop when bullet is near to destination. But the problem is the bullet is stopping not accurately, sometimes there's a small offset or span or sometimes is accurate depends on the angle.

public Vector2 getVelocity(Vector2 currentPosition, Vector2 targetPosition) {
Vector2 targetDirection = targetPosition.cpy().sub(currentPosition);
return targetDirection
.nor();
}

final float SPEED = 6;
float pos = bulletPosition.len();
float des = bullet.destination.len();
float tol = Constants.TIME_STEP * SPEED;

if(MathUtils.isEqual(pos,des, tol)) {
body.setLinearVelocity(0,0);
} else {
body.setLinearVelocity(getVelocity(bulletPosition, destination).scl(SPEED));
}

[SOLVED]

if(MathUtils.isEqual(pos, des, tol)) {
// quick & dirty way
body.setTransform(destination, angle);
// better way
...
}

• What does MathUtils.isEqual do exactly, is it a direct comparision or an approximation? Jul 30 '16 at 14:30
• here is the link for MathUtils java doc link Jul 30 '16 at 15:16

Quick & Dirty Way:
You can simply teleport the bullet to location you want after it stops.

Long & Better Way:
For the last moments of movement, you can disable the physics and control the movement yourself by lerp'ing (or any other way, lerp is my favorite) towards the target. This way, you can stop the bullet whenever you want.

Edit
I would solve the situation like this in Unity, and actually this might be a better way than the two above:

float minDisableDistance, minStopDistance, bulletSpeed;
Transform target;

// I'm skipping the parts that you create the bullet, and simply do the job on these:
GameObject bullet; //Assuming this is the bullet.
Rigidbody bulletRigidbody; //Assuming this is the rigidbody of bullet.

void Update()
{
Vector3 relPos = target.position - bullet.postion;
float distance = relPos.magnitude;

if(distance > minDisableDistance)
{
//use physics.
}
else
{
bulletRigidbody.velocity = 0;

if(distance > minStopDistance)
{
bullet.position += bulletSpeed * relPos.normalized * time.deltaTime;
}
else
{
bullet.position = target.position;
}
}
}

• ***** it works perfectly! I just tried the "quick & dirty way" . I want to try the better way Jul 30 '16 at 15:23
• can you give me a little pseudo-code on how do I properly do the properway? Jul 30 '16 at 15:25
• @ronscript I can't, I have never used libgdx or box2d. The wikipedia article about lerp is great, take a look: en.wikipedia.org/wiki/Linear_interpolation Jul 30 '16 at 15:28
• On the lerp method third parameter t. Because my bullet is speed is 6. the t is also 6? Jul 30 '16 at 15:33
• @ronscript No, the third parameter indicates the "ratio" of movement from beginning to end (and third parameter should be in between 0-1 in general). For example if it is 0.5, it means the result is exactly the middle of start and end points. Jul 30 '16 at 15:39

I found out the best way! I just use the Vector2 dst method to get the distance between the destination. And hooray!! it was accurate!

float distance = bulletPosition.cpy().dst(destination);

float tol = (Constants.TIME_STEP * SPEED) / 2;

if(distance <= tol) {

body.setLinearVelocity(0, 0);

}


text:
Chapter 352

Malaria is among the leading infectious causes of morbidity and mortality in children worldwide. Each year, there are 300 to 500 million clinical cases, causing between 1.5 and 2.7 million deaths, most in sub-Saharan African children under the age of 5 years. Increasing drug resistance, climatic changes, population shifts, economic changes, abandonment of malaria control programs, and insecticide resistance all contributed to a resurgence of malaria in the developing world from the 1970s to the 2000s. Recent World Health Organization, governmental, and nonprofit foundation support for effective preventative measures—such as insecticide-treated bednets, indoor residual spraying, and the implementation of artemisinin combination therapy as first-line treatment for malaria in many sub-Saharan African countries—appears to have significantly reduced malaria incidence and deaths in some countries.1

More than 40% of the world’s population, or 2.5 billion people, are at risk for malaria in 90 countries in Africa, Asia, South and Central America, and Oceania (Fig. 352-1). For many years, it appeared that malaria in humans was caused by four species of Plasmodium: P falciparum, P vivax, P ovale, and P malariae. There is now evidence that P knowlesi, a Plasmodium species that usually infects monkeys, has crossed over to cause malaria in humans in Southeast Asia, notably in Malaysia4; it is now considered a fifth human malaria species. Plasmodium falciparum is found mainly in tropical areas, where warm weather ensures the relatively constant presence of the Anopheles vector. Plasmodium vivax has the widest geographic distribution of the four species and is found in both tropical and temperate areas. Plasmodium ovale is found primarily in sub-Saharan West Africa, where it appears to have almost completely replaced Plasmodium vivax. Plasmodium malariae can be seen in both tropical and temperate zones but is the least common of the malaria species.

###### Figure 352-1.

Worldwide distribution of malaria.

(Courtesy CDC.)

Diagnostic and treatment approaches differ significantly in malaria endemic countries as compared to countries like the United States, where almost all malaria is imported. In the United States, all of the approximately 1500 cases of malaria that were reported to the Centers for Disease Control and Prevention (CDC) in 2005 occurred in travelers to or immigrants from malaria-endemic countries, with the exception of two cases of congenital malaria, in which the mothers were immigrants from malaria-endemic countries.2 Rare cases of local transmission have been reported in the United States.3

Malaria can be a life-threatening illness. Delay in seeking treatment, misdiagnosis, or both are often seen in individuals who die from malaria in the United States.2 Any febrile child who has been in a malaria-endemic area in the preceding year should be assessed for this illness.

### Organisms and Life Cycle

Plasmodium species can infect many different animals but most are host-specific. P ...

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text:
## College Algebra 7th Edition

Use the associative property to first multiply $\frac{4}{3}$ and -6, then multiply the result times the variable, y. $\frac{4}{3}$(-6y) ($\frac{4}{3}$$\times$-6)y (-8)y -8y


text:
## CryptoDB

### Paper: Radical Isogenies on Montgomery Curves

Authors: Hiroshi Onuki , The University of Tokyo Tomoki Moriya , The University of Tokyo Search ePrint Search Google Slides PKC 2022 We work on some open problems in radical isogenies. Radical isogenies are formulas to compute chains of N-isogenies for small N and proposed by Castryck, Decru, and Vercauteren in Asiacrypt 2020. These formulas do not need to generate a point of order N generating the kernel and accelerate some isogeny-based cryptosystems like CSIDH. On the other hand, since these formulas use Tate normal forms, these need to transform Tate normal forms to curves with efficient arithmetic, e.g., Montgomery curves. In this paper, we propose radical-isogeny formulas of degrees 3 and 4 on Montgomery curves. Our formulas compute some values determining Montgomery curves, from which one can efficiently recover Montgomery coefficients. And our formulas are more efficient for some cryptosystems than the original radical isogenies. In addition, we prove a conjecture left open by Castryck et al. that relates to radical isogenies of degree 4.
##### BibTeX
@inproceedings{pkc-2022-31715,
title={Radical Isogenies on Montgomery Curves},
publisher={Springer-Verlag},
author={Hiroshi Onuki and Tomoki Moriya},
year=2022
}


text:
Ifandare distinct odd primes then

Ifthenis divisible by 4. Sinceis even, the right hand side is one and so is the left hand side therefore. On the other hand ifthenis odd so

We can restate the Law of Quadratic Reciprocity in the form:

Ifandare distinct odd primes then

We can use the Law of Quadratic Reciprocity repeatedly to find if a number is a quadratic residueFor example,

since

since

since 9 is a square number.

The Law of Quadratic Reciprocity can be use to decide if a quadratic equationhas solutions.

has discriminant

since

since


text:
• # classifyMapGerms

• Referenced in 1 article [sw23298]
• computing the standard basis of the tangent space at the orbit of an algebraic group ... action. The tangent space is usually described as the sum of two modules over different...
• # neural-tangents

• Referenced in 5 articles [sw39529]
• Neural Tangent Kernel. Additionally, Neural Tangents provides tools to study gradient descent training dynamics ... wide but finite networks in either function space or weight space. The entire library runs ... scaling in the number of devices. Neural Tangents is available at https://github.com/google/neural-tangents....
• # MDC-ELLIPSOIDs

• Referenced in 11 articles [sw22577]
• common normal direction. To restrict the solution space to a unique pair of points, different ... common normal concept, i.e., the normal, tangent, binormal and distance vectors which are deducible given...
• # BISTAB

• Referenced in 1 article [sw00081]
• equations in the stat$e\times parameter$ space by varying a bifurcation parameter. The curves ... tangent method of {\itH. B. Keller} [Numerical solution of bifurcation and nonlinear eigenvalue problems. Applications...
• # ImprovedDeepONets

• Referenced in 1 article [sw42601]
• learning maps between infinite-dimensional Banach spaces. Trained under appropriate constraints, they can also ... networks (DeepONets) through the lens of Neural Tangent Kernel (NTK) theory, and reveal a bias...


text:
## Question

The sum of the squares of the first ten natural numbers is,

$\displaystyle 1^2 + 2^2 + ... + 10^2 = 385$

The square of the sum of the first ten natural numbers is,

$\displaystyle (1 + 2 + ... + 10)^2 = 55^2 = 3025$

Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is $3025 - 385 = 2640$.

Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.

## Clojure

#!/usr/bin/env clojure
(defn square [x]
(* x x))

(defn sum-squares [limit]
(apply + (map square (range 1 (+ limit 1)))))

(defn square-sum [limit]
(square (apply + (range 1 (+ limit 1)))))

(println (- (square-sum 100) (sum-squares 100)))
$time ./square-sum real 0m0.001s user 0m0.000s sys 0m0.000s ## Haskell main :: IO () main = print$ (s*s) - sqS where
s = sum [1..100]
sqS = sum [i * i | i <- [1..100]]
$ghc -O2 -o squareSum squareSum.hs$ time ./squareSum
real   0m0.001s
user   0m0.000s
sys    0m0.000s

## JavaScript

let sum = 0, sumSquares = 0
for (let i = 1; i <= 100; i++) {
sum += i
sumSquares += i * i
}
console.log(sum * sum - sumSquares)
$time node --use-strict --harmony-destructuring square-sum.js real 0m0.084s user 0m0.072s sys 0m0.012s ## Python #!/usr/bin/env python print(sum(range(1, 101))**2 - sum(x**2 for x in range(1, 101))) $ time python3 square_sum.py
real   0m0.019s
user   0m0.016s
sys    0m0.000s

## Ruby

#!/usr/bin/env ruby
puts ((1..100).inject(0) {|s,v| s += v})**2 - ((1..100).collect {|x| x**2}.inject(0) { |s,v| s += v})
\$ time ruby square_sum.rb
real   0m0.027s
user   0m0.024s
sys    0m0.000s

Questions? Comments? Send me an email: z@chdenton.com


text:
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# Questions

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### References for Eilenberg-Zilber shuffle product

oct 17 at 10:21 Jake 8113

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0
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### Are open convex PL subsets of R^n PL homeomorphic to R^n?

aug 9 at 22:58 Greg Friedman 2,074514

2
5
0
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### Alternative approaches to the universal coefficient theorem

aug 30 11 at 19:51 Greg Friedman 2,074514

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### Signs and functoriality of tensor products

jul 5 11 at 23:24 Neil Strickland 14k12968

3
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2
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### What characteristic class information comes from the 2-torsion of $H^*(BSO(n);Z)$?

mar 1 11 at 0:12 Allen Hatcher 7,31422636

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### Are there oriented $4k+2$ manifolds such that $im(H_{2k+1}(M; Z/2)\to H_{2k+1}(M, \partial M; Z/2))$ has odd dimension?

jan 29 11 at 4:38 Tom Goodwillie 27k262111

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### When do we need the axiom of compact support for a homology theory to be uniquely defined?

jan 12 11 at 1:13 Tom Goodwillie 27k262111

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### What group is <a,b | a^2=b^2>?

dec 14 10 at 12:58 Sam Nead 5,6371227

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### Ranicki symmetric L-groups of finite fields?

dec 5 10 at 12:06 Andrew Ranicki 1,741198

4
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text:
# How do you write y=2x-3 in standard form?

$- 2 x + y + 3 = 0$
Standard form of the line equation is $A x + B y + C = 0$ so to transform an equation to a standard form you have to move everything to left side and leave only zero on the right side.


text:
# Insistence on classical geometry [closed]

This post may surprise and even irritate some people here but I am sure that if any sort of discussion springs out of it, we will get to read some interesting opinions.

For the rest of the post, if I write "geometry", I mean "classical Euclidean geometry".

It is almost a sacrosanct obligation for any mathematician to know at least some of the basics of classical Euclidean geometry, and by that, I am referring to geometry without coordinates. However, it is also known -even though some people just can't accept it- that classical Euclidean geometry is one of the disciplines of mathematics that rely less on rigor and reason and more on perception and intuition. Now, not that intuition is not important, but, in my opinion, strict mathematics has to promote mathematical intuition and not vice versa.

Of course, I can't deny the benefits of being familiar with basic results such as the triangle inequality, the Pythagorean theorem or the parallelogram law.

However, since most of modern mathematics relies on rigor and when we can't prove something we want to be true we don't generally assume it, I have three arguments against classical geometry:

1. It doesn't promote strict reasoning - contrary to popular belief. Calculus does so much more efficiently.
2. It maybe provides fertile ground for false intuition on relations of size: people have a hard time dealing with infinity.
3. The intuition it cultivates maybe provides ground for extremely counterproductive discussions revolving around somewhat dumb issues such as Zeno's paradox.

Question $\rightarrow$I need therefore some nice reason why people insist on teaching and learning geometry. I am obviously not talking about basic facts, but about more complex issues (eg math competitions stuff). The reason can be practical or aesthetic, but here is what will be considered a good answer:

• A practical reason. Random probably nonsensical example: "Many complex facts from classical geometry have exact analogues in partial differential equations."
• Various aesthetic reasons. I will need -in total, not in one question - at least five of those and their clarity and beauty -in a loose sense- have to be on par with facts such as the Bolzano-Weierstrass theorem, the Banach fixed point theorem, the Schroeder-Bernstein theorem or Cantor's diagonal argument. Non-example: "if four circles the diameters of which are in arithmetic progression intersect in..." etc. Further non-example: Simson line.
• An answer will not be considered good if it is in the following form: "Geometry provides motivation for such and such a branch of mathematics". I can find enough motivation in mathematics without geometry.

The only thing I can think of is that geometry cultivates imagination and creativity in constructions. The rest is yours. Thanks in advance.

Notes:Through this question I am more interested in finding out why I should learn geometry rather than why people should teach geometry in general. However, an answer to both would be nice. Also, the point I am trying to make with that long text is that even though learning geometry sums its merits, maybe the way geometry is taught does not really do much good, because I don't know of any involved facts of geometry that are of interest in any other field of mathematics

• I think by going so far to prohibit several answers, many of which a lot of people would already consider good motivation for teaching Euclidean geometry, this question is too close to a rant to be a good question on this site. Jan 16 '14 at 16:06
• I don't get the point you make about rigour. Firstly, any branch of math can be taught rigorously or non-rigorously, or anything in between. The level of rigour is up to the teacher. Secondly, I don't see how it relates the rest of the question; if you're looking for motivation as to why geometry should be taught, why both going off on that tangent about rigour? Jan 16 '14 at 16:06
• @rschwieb, I think there is a good question buried beneath the rant, but it needs a major rewrite. Jan 16 '14 at 16:07
• @rschwieb I can't help it, I need a reason which will motivate me to study geometry, and motivation for other branches of mathematics or (imo) uninteresting facts about unnatural -in the sense that they don't arise naturally- figures is not going to help. Jan 16 '14 at 16:12
• @StevePap I think you could say the same for 15 year olds and calculus, which you pushed as a better alternative. Nobody is claiming that geometry perfectly teaches rigor at that age, but I think a lot of people will agree that it is a good first-approximation, and that it is relatively accessible. For one thing, it strongly appeals to our experience with shapes and distances, which children already have some experience with. Jan 16 '14 at 16:17

## Rigor

Despite the ancient foundations of geometry not being rigorous by modern day standards, there are rigorous systems for Euclidean geometry now. One can either teach using these new systems, and one can also gain a lot of educational value by comparing the old system to the new one, as Hartshorne does in his wonderful book. This study clearly does promote reasoning from axioms and previous propositions, so I have to strongly disagree with your assertion to the contrary.

## False intuition

It maybe provides fertile ground for false intuition on relations of size. It also provides fertile ground to dispel false intuitions and reliance on pictures, and reinforce reasoning from axioms and principles. This is a double-edged complaint.

## Counterproductivity(?)

The intuition it cultivates maybe provides ground for extremely counterproductive discussions revolving around somewhat dumb issues such as Zeno's paradox.

Or it introduces the student to a famous philosophical problem, and how one might engage in intelligent discussion about such things.

## Summary

Of course it is important to not teach wrong things and/or false intuitions. But that does not mean they should be avoided entirely. Rather they should be intelligently incorporated into an overall discussion. It is really rough to find the right educators and the requisite amount of time to do this in a very good way. That's the struggle between ideal and practical at work. The best we can hope for is to produce better teachers and give the students more time.

Aside from geometries direct applications, proofs in geometry facilitate the development of what constitutes a proof and basic logic.

• I just borrowed this book from the university library since they didn't have Hartshorne's. The first few chapters discuss Euclid's postulates, Hilbert's axiomatisation (and in particular the parallel postulate) and the difference between them. Jan 16 '14 at 16:18
• I've skimmed that one: it's also pretty good. Jan 16 '14 at 16:19
• However, you can't start from Hartshorne, or can you? High school students are not taught rigorous geometry, at least not where I live! Jan 16 '14 at 16:26
• One more point: the question was not to convince me that we should not completely abandon geometry -I am convinced-, the question was to give me some reasons why I should learn extensive geometry according to two patterns. Thanks for the information, though, I will definitely check Hartshorne's book. Jan 16 '14 at 16:28
• @StevePap Yeah maybe so. Have you ever studied points of concurrency? I always thought the four basic theorems about concurrence of certain lines in triangles were pretty surprising. Another interesting theorem in geometry is Desargues's theorem. Desargues's theorem in particular has a deep implications beyond the diagram. Jan 16 '14 at 19:15


text:
ddc-core-0.4.3.1: Disciplined Disciple Compiler core language and type checker.

DDC.Core.Call

Description

Call patterns.

A call pattern describes the sequence of objects that are eliminated by some object when we apply it, and before it starts constructing new values.

Constructor (+ve)             Eliminator (-ve)
/x.  (type   abstraction)    @'    (type   application)
x.  (object abstraction)    @     (object application)
box   (suspend evaluation)   run   (commence evaluation)

Synopsis

# Call constructors

data Cons n Source #

One component of the call pattern of a super. This is the "outer wrapper" of the computation,

With /(a : k). (x : t). box (x + 1) the call pattern consists of the two lambdas and the box. These three things need to be eliminated before we can construct any new values.

Constructors

 ConsType (Bind n) A type lambda that needs a type of this kind. ConsValue (Type n) A value lambda that needs a value of this type. ConsBox A suspended expression that needs to be run.

Instances

 Show n => Show (Cons n) Source # MethodsshowsPrec :: Int -> Cons n -> ShowS #show :: Cons n -> String #showList :: [Cons n] -> ShowS #

Check if this is an ConsType.

Check if this is an ElimType.

isConsBox :: Cons n -> Bool Source #

Check if this is an ElimType.

takeCallConsFromExp :: Exp a n -> [Cons n] Source #

Get the call pattern of an expression.

takeCallConsFromType :: Type n -> [Cons n] Source #

Infer the call pattern of an expression from its type. If the type has a function constructor then we assume there is a corresponding lambda abstraction in the expression, and so on.

splitStdCallCons :: [Cons n] -> Maybe ([Cons n], [Cons n], [Cons n]) Source #

Like splitStdCallElim, but for the constructor side.

Arguments

 :: Type n Type of super -> Int Number of type parameters. -> Int Number of value parameters. -> Int Number of boxings. -> Maybe [Cons n]

Given the type of a super, and the number of type parameters, value parameters and boxings, produce the corresponding list of call constructors.

Example:

   takeStdCallConsFromType
[| forall (a : k1) (b : k2). a -> b -> S e b |]
2 2 1
=> [ ConsType  [|k1|], ConsType  [|k2|]
, ConsValue [|a],  ConsValue [|b|]
, ConsBox ]

When we're considering the parts of the type, if the given arity does not match what is in the type then Nothing.

# Call eliminators

data Elim a n Source #

One component of a super call.

Constructors

 ElimType a a (Type n) Give a type to a type lambda. ElimValue a (Exp a n) Give a value to a value lambda. ElimRun a Run a suspended computation.

Instances

 (Show a, Show n) => Show (Elim a n) Source # MethodsshowsPrec :: Int -> Elim a n -> ShowS #show :: Elim a n -> String #showList :: [Elim a n] -> ShowS #

isElimType :: Elim a n -> Bool Source #

Check if this is an ElimType.

isElimValue :: Elim a n -> Bool Source #

Check if this is an ElimType.

isElimRun :: Elim a n -> Bool Source #

Check if this is an ElimType.

takeCallElim :: Exp a n -> (Exp a n, [Elim a n]) Source #

Split the application of some object into the object being applied and its eliminators.

applyElim :: Exp a n -> Elim a n -> Exp a n Source #

Apply an eliminator to an expression.

splitStdCallElims :: [Elim a n] -> Maybe ([Elim a n], [Elim a n], [Elim a n]) Source #

Group eliminators into sets for a standard call.

The standard call sequence is a list of type arguments, followed by some objects, and optionally running the result suspension.

run f [T1] [T2] x1 x2

If f is a super, and this is a saturating call then the super header will look like the following:

f = (t1. t2. v1. v2. box. body)

# Matching

elimForCons :: Elim a n -> Cons n -> Bool Source #

Check if this an eliminator for the given constructor. This only checks the general form of the eliminator and constructor, not the exact types or kinds.

dischargeConsWithElims :: Ord n => [Cons n] -> [Elim a n] -> ([Cons n], [Elim a n]) Source #

Given lists of constructors and eliminators, check if the eliminators satisfy the constructors, and return any remaining unmatching constructors and eliminators.

We assume that the application is well typed and that applying the given eliminators will not cause variable capture.

dischargeTypeWithElims :: Ord n => Type n -> [Elim a n] -> Maybe (Type n) Source #

Given a type of a function and eliminators, discharge foralls, abstractions and boxes to get the result type of performing the application.

We assume that the application is well typed.


text:
# Everyday sexism

Discussion in 'Ethics, Morality, & Justice' started by James R, Dec 7, 2020.

Messages:
7,548
bye felicia

3. ### Xelasnave.1947Valued Senior Member

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8,387
Bye cluulusshusbund...you take care.
Alex

5. ### Xelasnave.1947Valued Senior Member

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So that is your opinion..OK but don't hesitate to remind me that is what you think if it helps you out somehow.
I must say the reason you have the bold and the break up via * is lost on me...sorry.
Alex

7. ### Michael 345New year. PRESENT is 71 years oldValued Senior Member

Messages:
10,021
Is it sexist if it is a person of the same sex is dissing you

Females commenting on a swim costume

https://bit.ly/3bqBS5U

8. ### LaurieAGRegistered Senior Member

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486
Wegs, that's probably because it wasn't paddoboy.

9. ### Xelasnave.1947Valued Senior Member

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8,387
Yes. Perhaps you could justify why it is ok to demand an old lady or an old man change their ways that are clearly not intended to offend... I find July very offensive but I expect I would be told..what can you do...I expect it may be annoying for some, I know that ..it's not like it has not been mentioned by folk...there are many things that are annoying but clearly this is more about taking Paddo to task rather than facing up to a realistic assessment of the situation...and think about this..exchemist points out what I point out and your response is entirely different...why is that..I pointed out the common place usage and often area relationship as did he and yet two different responses..why was that? No doubt trying to bring folk to your side..high numbers wont exclude the need for evidence...

I am firstly trying to get you to see reason and realise that it is a matter that can only be addressed subjectively and certainly not objectively ..we have a situation where it has dropped to mob mentality and a kangaroo court trial....to the point where folk say to Paddo ..don't tell us what happened ..we know..our invented reality has scripted it..you have ofended these people..you do not know..do you not get that..you do not know...you have no evidence for your claim so stop acting as if you hold the high moral ground..you don't because you abandon fairness and have no testimony or witnesses...you can't do that.

It does not matter how you feel... there is a line you just can not cross..now if you had real evidence to support anything that you are saying I would be onside..because you would have established your case..but as much as you dislike Paddo the fact is he is inoccent until proven guilty and you have not proved him guilty..if you have then show me..show me the evidence that his lubrication term was as you say..show me or drop it....you have no evidence..your attempt to use the expression " lubricating" just shows how bent you are..again it's a case that you have absolutely no evidence of what you claim..none..zip..and then you say..well cant you write into the use of that word something dirty so I win..well I say you have no evidence and your claimed ability to mind read will not cut it.

Stop being cute..you have no evidence to support your claim and pushing your cart sideways will not create evidence....if you dont like the word because in your mind "You see things" dont use it..but dont tell others their use is bound to your imagination...it is a common term..as I said..talking about a party recently the term was used and it was just as inoffensive as when Paddo used it further no females at all.....you cant proclaim yourself the thought police no matter how wonderful you think your reality finds you.

10. ### Xelasnave.1947Valued Senior Member

Messages:
8,387
Dont be cute.
I don't need to explain what is obvious to play you games.

It must depend on context if you think it through..each case will be different..some are sharp at 90 some are lost at 65..I know in your reality there is no room for anything but a totalitarian approach..it is a pity you can't do something to fix that.

And now you find some necessity to consider that each situation may be different..I think we can all create a similar version of Utopia but jumping on old folk like you demand is simply wrong due to is lack of relationship to a "real" reality as opposed to the one you invent for your band wagon.
Dont
Do not seek to twist my words..You already know my opinion and trying on this ploy is miserable...to be clear.. again..you can't back up your allegations with evidence when you can there will be no arguement but while you insist on trying every move you can, you only fail to address the fact you have nothing but your invented reality.

11. ### Xelasnave.1947Valued Senior Member

Messages:
8,387
No it is a reasonable statement and nothing wrong about it unless you have evidence that shows different.

Well James you go after old folk in the shopping center and jail them for friendly common talk and I will continue to point out flaws with religion that perpetually show the church regard women are inferior... you are the one making excuses because I have cornered you..pointing out the flaws..no evidence..no testimony..no adjustment so as to consider each case on its specific circumstances...you remind me of the ugly sisters in the story trying to fit into a shoe that will never fit...happily your creation not mine..for goodness sake man get a grip on reality...who will you hang first..the old dears who call shop assistants luv? Will calling someone darling draw a higher penalty...oh and will there be a distinction taki g into account men or women...I expect not as that would be clearly sexist.. joking of course I dont want to add to your totalitarian management rules.

Agreed..present your evidence and let the trial begin.
Well you see the problem really is that you have not established anything you claim.

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10,021
13. ### Xelasnave.1947Valued Senior Member

Messages:
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I don't have the wisdom to make a call without information.

This is very much in line with an approach of " I don't need to know more than I have decided to limit myself to...you are like these Christians.. you go to discuss religion with them only to find they haven't read the book or have studied the history leading up to the bible or the many human gods and the roll astrology played...they have a vague belief with nothing but faith..a belief without evidence...mmm that's what you use for Paddo isn't it?

I can't take you seriously if you seek to comment upon something you have not watched...it indicates you did not start with an open mind and clearly you finished the same way.

That is not what I think at all.. I expect he thought about my words that I am leaving to use my time more productively...like play my guitar as I have said. He probably thought similar..he has more in his life than this place.

Although folk will try and bully him I am confident he is not put out..he loves fighting back in my view.. maybe he became frustrated that you sort to hang him without evidence but that is unlikely..I think he probably realised life is too short to waste it here.

However there is no point in speculating as only Paddo knows...and again why don't you just give your mind reading a rest.

You have a very active imagination.

What I think is a valid point in the video and it is undeniable when applied to any human really is that each person creates their our reality..which is really beliefs they form..it seems some have a picture that the " luv" problem is outta control some not so much...different realities....and clearly as each person tries to make their case they start to believe more and more that the picture they see is the correct one..you have this obsession with " lubricate" and sadly it is not the way you imagine it but the more the reality is pointed out the tighter you hold onto your belief that it is the way you see it...

Me as much as possible I try to stand back and take in what is going on that I can support with firm evidence and things outside of that I make no judgement upon.

Now with the video the message I took from it was simply a reminder of the obvious that folk do manufacture their reality..now you can think otherwise that is up to you.
However it seems the factors that are overlooked very quickly in this discussion is..context and malice..both ignored as irrelevant when they really are the first things to consider...I like to keep both context and malice in my reality.

14. ### Michael 345New year. PRESENT is 71 years oldValued Senior Member

Messages:
10,021
Oh look it has a definition

lubricate

verb

apply a substance such as oil or grease to (an engine or component) to minimize friction and allow smooth movement.
"remove the nut and lubricate the thread"

Similar:

oil
grease
make slippery
make smooth
smear with oil
cover with oil
rub with oil
moisturize
wax
polish
make (a process) run smoothly.

"the availability of credit lubricated the channels of trade"

Similar:

facilitate
ease
make smooth
smooth the way for
oil the wheels for
pave the way for
Opposite:
impede
obstruct

INFORMAL

make (someone) convivial with alcohol.

"men lubricated with alcohol speak their true feelings"

Definitions from Oxford Languages

I wonder if the people serving alcohol knew the INFORMAL version???

15. ### wegsMatter & Pixie DustValued Senior Member

Messages:
7,009
??

I'm referencing the very first post of this thread.

16. ### Xelasnave.1947Valued Senior Member

Messages:
8,387
This mob are so happy to alter word meanings to suit their game...look at the deal behind cluelesshusbum with his "clever" farewell...some fool has seized on a scene in a movie to give a new "lefty" meaning to a perfectly nice word..one that he has been tricked into using and is happy to use as it extends him that elitism that mob craves....not the left I knew and loved...now it is intent on bit by bit destruction of anything that hints at happiness...and what these folk miss is the very terrible message in that movie scene ..the one cluelesshusbum thinks is as clever as "Karen"... these folk are so easily manipulated ...and they have no idea.

Notice they don't try and front the real issues..can't front the church..can't front Hollywood...can only dance to their tribal drum.

Fancy taking your philosophy from some second rate movie like clueless has done and not realising you fell for a marketing push...marketing??? What do you mean?...don't worry sheep don't need to know about shearing. They are so clever cause their handlers feed them elitism ..front is.

Feeling very manly today..up at four..only half an hour exercise of my legs and to get them to work..I know boasting again..but heck if I had not worked so hard I would not be here...

Are you back, well or not?

You know I am getting really worked up over "July" I just find it so offensive...why Julius Ceasar was painted as some sort of hero gets me..oh hang on..his history was put together from his personally written journal...still we have a fine account of all the villages he trashed, killing everyone who could not be sold as slaves...and he did not seen too concerned that Rome had treaties with some of these folk...a great man so fitting that we name a month after him...I have a list of things like this and I am putting "dont call me luv" on it..at the bottom so I will get to it when the more important issues have been taken care of....

All these folk trying to create a better world...if only they could see how evil powers use their decency to employ them as a mindless mob to assist their political game...anyways I don't care I am leaving the planet well before anyone else...lubricate myself away.

And what do you make of DMOE? I can talk about him now that he is gone...loops in fires off some shots, does not read the thread as evidenced by him not seeing the quotes that stand out like dogs balls..won't name names..only pretends to be friendly it seems so he can can expose the under belly and stab where he thinks it will do the most damage...but to me being so manly see it as a mere flea bite..mmm flea..that can be my pet name for him ...anyways it sadly reflects what that poor devil has put up with in life..left him such he cant trust anyone it seems...he is like one of those abused puppies that bark and run off, you throw them a little food and they eat it but then bark and run off...then he will tell you that it is not a case of him not liking you..that has nothing to do with his cowardly sarcasm dont you know...anyways at least I understand him and because I am so fond of him will overlook what others may see as negatives...

OK now rested and cleared my head of nonsense I will get back to work...before it gets any hotter.

Alex

17. ### Michael 345New year. PRESENT is 71 years oldValued Senior Member

Messages:
10,021
Not back. Reasonable well with broken shoulder waiting on operation when eventually get back

Neither girlfriend Inul and myself have any COVID-19 symptoms, but since neither have been tested no idea of our true status

Basically I remain isolated all day hotel room watching TV and internet chat. Inul shops and cooks our meals at sister's Food Court and brings to hotel

Birthday in 2 days Inul says we will have a few people at a eat out

The broken bit is at the top of the long bone - humerus - where the round ball bit on top should be a bit closer to the curved arch above (minor dislocation) and should not have the detached bit (from the round ball bit on top of humerus) on the outside

Hope all posters are keeping safe

18. ### Xelasnave.1947Valued Senior Member

Messages:
8,387
Happy birthday for two days time in case I am not around.

How did you break it?

I can't recall you mentioning it but I have not been here much..last little while sure but my guitar is unplayable ..well I can play it but two strings broke..wrong ones..and it is no fun at all...but I just can't bring myself to go to town even though I need so many things...

But it knocks me up for days and leaves me not feeling manly at all...and if they catch me crook and not walking they want to take me away...going to make some bread today..funny how you crave some things when you run out but not others..I have some honey to get over the craving for sugar.

Anyways I feel rested now so I will go ... taking a break and doing some microscope viewing to see if any Tardigrade have appeared in the moss that has come out due to the long wet.

Alex

19. ### Michael 345New year. PRESENT is 71 years oldValued Senior Member

Messages:
10,021
Kept quiet but thought as you asked a op to tell

Back in August in Pizza Hut at large shopping complex. They had a ridiculous set up to maintain distance made from plastic pipe. Was not fixed to floor. Happen to put foot on base WHICH SLID AWAY. Went down heavy

$170 for BIMB Emergency Department visit, no complaints re service or treatment or cost Unable to afford$18,000 cost of operation and a one night stay. So back to hotel. 2 days 2 Panadol every 4 hours and 2 nights little sleep. But now since August not need pain relief, shoulder down to dull ache

Inul girlfriend also now Trusted Assistant and trainee nurse carer

. Showing her how I would look after my condition. Quick learner

20. ### James RJust this guy, you know?Staff Member

Messages:
35,064
I wonder if the people serving alcohol knew the sexualised innuendo version.

What do you think?

21. ### Xelasnave.1947Valued Senior Member

Messages:
8,387
Only if you share with them your inter most thoughts.

James you are flogging a dead horse just because you make something up to furnish your personal reality does not mean it becomes part of the real world...the sexualized innuendo is yours...take it home and put it away...now if you want to persist offer evidence that your claim is valid... you have now had the opportunity via Micks post to see the common usage is as I told you and yet you still want your claim to be true..come up with some evidence supporting your claim or give it a rest.

Your have just given Saint a ban in effect for not backing up his claim and yet here you go making an unsupported claim over and over and over and dispite my calls for evidence which you ignore you just keep repeating your unsubstantiated claim.

Your preoccupation with making something dirty out of a phrase shows nothing more than you are in effect trying to manufacture evidence...else what would you call your attempt...

Further you absolutely ignore the context that it came up...which is the usual context as also shown in my reference to my discussion with a mate about a party I missed...I mean what does it take to get you to admit you are wrong..just wrong wrong wrong..too proud.? What is it?

I gave you an example consistent with Paddos post, Mick has provided a dictionary account..which did not mention any sexual thing...really what does it take?

Admit that you are wrong or present some evidence..just like the requirement you demanded of Saint.

What we need to see is a dictionary entry in support of your claim..you have seen the entry in support of my claim which means you have lost..get over it.

Alex

22. ### Michael 345New year. PRESENT is 71 years oldValued Senior Member

Messages:
10,021
Really depends

Had they heard in the sexualised innuendo version? If so they would take it the same in the pub

If not and didn't attach ANY meaning to the words they may ask more experienced staff

If it was said as the person raised a empty glass as indicating refill please the staff links gesture and vocalisation (cheerful or lecherous tone) and act's as per their understanding

Staff can (may) treat patrons as individuals depending on familiarity, level of intoxication, tone of voice etc etc

Context is the key


text:
We're sorry Aspose doesn't work properply without JavaScript enabled.

# Replacing a text with Hyperlink in MS WORD doc using JAVA

Hello,

1. I would like know if Aspose can search and replace a text in a MS word doc file with a Hyperlink?
If yes, can someone give me an example of it?
Thanks,
1 Like

Hi
Thanks for your request. You can achieve this using ReplaceEvaluator. See the following code for example:

public static void main(String[] args) throws Exception {
// Open the document.
Document doc = new Document("C:\\Temp\\in.doc");
doc.getRange().replace(Pattern.compile("http(s)?://([\\w-]+\\.)+[\\w-]+(/[\\w- ./?%&=]*)?"),
// Save the modified document.
doc.save("C:\\Temp\\out.doc");
}
{
/**
* A user implemented ReplaceEvaluator.replace() method is called for each
* match found during a replace operation.
*
* @return An enumerated value that specifies the action to be taken for the current match.
*/
public int replace(Object sender, ReplaceEvaluatorArgs e) throws Exception
{
DocumentBuilder builder = new DocumentBuilder(e.getMatchNode().getDocument());
// Move to mathed node
builder.moveTo(e.getMatchNode());
builder.getFont().setUnderline(Underline.SINGLE);
builder.getFont().setColor(Color.BLUE);
e.setReplacement("");
return ReplaceAction.REPLACE;
}
}

https://reference.aspose.com/words/java/com.aspose.words/range#replace(java.util.regex.Pattern,java.lang.String,com.aspose.words.FindReplaceOptions)
Hope this helps.
Best regards.

Alexey, Thanks for the response. I tried the code given by you. It seems to work partially, what I mean by partially is that new URL that is written is not at the same position/location as the replaced text.
For example: If I try to replace “Java” with a Hyperlink in the following line of the document, the replaced Hyperlink appears at the begining of the line instead of being at the third word position.
Input:
Sun Certified Java Programmer
Ouput of Replacement
NEW_URL Sun Certified Programmer.
Please let me know if some code tweaking needs to be done.
Thanks,
Santosh

Hi
Thanks for your request. I think the following code will work for you.

public static void main(String[] args) throws Exception {
// Open the document.
Document doc = new Document("C:\\Temp\\in.doc");
doc.getRange().replace(Pattern.compile("aspose"),
// Save the modified document.
doc.save("C:\\Temp\\out.doc");
}
{
/**
* A user implemented ReplaceEvaluator.replace() method is called for each
* match found during a replace operation.
*
* @return An enumerated value that specifies the action to be taken for the current match.
*/
public int replace(Object sender, ReplaceEvaluatorArgs e) throws Exception
{
// Get MatchNode
Run run1 = (Run)e.getMatchNode();
// Create Run
Run run2 = (Run)run1.deepClone(true);
// Get index of match value
int index = run1.getText().indexOf(e.getMatch().group());
// split run that contains matched text
run2.setText(run1.getText().substring(index + e.getMatch().group().length()));
run1.setText(run1.getText().substring(0, index));
run1.getParentParagraph().insertAfter(run2, run1);
DocumentBuilder builder = new DocumentBuilder(e.getMatchNode().getDocument());
// Move to mathed node
builder.moveTo(run2);
builder.getFont().setUnderline(Underline.SINGLE);
builder.getFont().setColor(Color.BLUE);
return ReplaceAction.SKIP;
}
}

Hope this helps.
Best regards.

This code worked. Will do more testing and get back to you if something breaks.
Thanks,

Hi Alexey,
I am doing the similar stuff but I don’t want to replace the text with hyperlink.
My Problem is that I have to search & replace text with some other text.
For example, my doc has a line…
Illustration :
I have to replace with ABC12.
Can you please tell me how can I do it.
Thanks in anticipation
Bhoomica

Hi


text:
DS_Lecture_2.pdf - Lecture 2 Propositional Logic Dr Chengjiang Long Computer Vision Researcher at Kitware Inc Adjunct Professor at SUNY at Albany Email

# DS_Lecture_2.pdf - Lecture 2 Propositional Logic Dr...

• Notes
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Lecture 2: Propositional Logic Dr. Chengjiang Long Computer Vision Researcher at Kitware Inc. Adjunct Professor at SUNY at Albany. Email: [email protected]

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C. Long Lecture 2 August 30, 2018 2 ICEN/ICSI210 Discrete Structures Introduction: Logic? Logic 1) is the study of the logic relationships between objects 2) forms the basis of all mathematical reasoning and all automated reasoning
C. Long Lecture 2 August 30, 2018 3 ICEN/ICSI210 Discrete Structures Introduction: PL? In Propositional Logic (a.k.a Propositional Calculus or Sentential Logic), the objects are called propositions Definition : A proposition is a statement that is either true or false , but not both We usually denote a proposition by a letter: p , q , r , s ,

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C. Long Lecture 2 August 30, 2018 4 ICEN/ICSI210 Discrete Structures Outline Defining Propositional Logic Precedence of Logical Operators Usefulness of Logic Logical Equivalences
C. Long Lecture 2 August 30, 2018 5 ICEN/ICSI210 Discrete Structures Outline Defining Propositional Logic Precedence of Logical Operators Usefulness of Logic Logical Equivalences

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C. Long Lecture 2 August 30, 2018 6 ICEN/ICSI210 Discrete Structures Introduction: Proposition Definition : The value of a proposition is called its truth value ; denoted by T or 1 if it is true or F or 0 if it is false Opinions , interrogative , and imperative are not propositions Truth table p 0 1
C. Long Lecture 2 August 30, 2018 7 ICEN/ICSI210 Discrete Structures Propositions Propositional logic operates with statements. Statements could be true or false and are called propositions . Is the sentence proposition? Richmond is the capital of Virginia. 2 + 3 = 7. Open the door. 5 + 7 < 10. The moon is a satellite of the earth. x + 5 = 7. x + 5 > 9 for every real number x . Yes (True) Yes (False) No Yes (False) Yes (True) No Yes (False)

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C. Long Lecture 2 August 30, 2018 8 ICEN/ICSI210 Discrete Structures Propositions: Examples The following are propositions Today is Monday The grass is wet It is raining The following are not propositions C++ is the best language Opinion When is the pretest? Interrogative Do your homework Imperative
C. Long Lecture 2 August 30, 2018 9 ICEN/ICSI210 Discrete Structures Are these propositions? 2+2=5 Every integer is divisible by 12 Microsoft is an excellent company

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C. Long Lecture 2 August 30, 2018 10 ICEN/ICSI210 Discrete Structures Logical connectives Connectives are used to create a compound proposition from two or more propositions Negation (denote ~ or ¬ or !) $\neg$ And or logical conjunction (denoted Ù ) $\wedge$ Or or logical disjunction (denoted Ú ) $\vee$ XOR or exclusive or (denoted Å ) $\xor$ Implication (denoted Þ or ® ) $\Rightarrow$, $\rightarrow$ Biconditional (denoted Û or « ) $\LeftRightarrow$, $\leftrightarrow$ We define the meaning (semantics) of the logical connectives using truth tables
C. Long Lecture 2 August 30, 2018 11 ICEN/ICSI210 Discrete Structures Logical Connective: Negation ¬ p , the negation of a proposition p , is also a proposition Examples: Today is not Monday It is not the case that today is Monday, etc.

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text:
# Is the kernel of this group action the centralizer?

In Dummit and Foote, they state

"... let the group $N_G(A)$ (normalizer) act on the set $A$ by conjugation. It is easy to check that the kernel of this action is the centralizer $C_G(A)$."

From what I understand, the kernel of this action is the set $$\{ g \in N_G(A) : g a g^{-1} = a \text{ for all } a \in A \}.$$ However, the centralizer of $A$ is $$\{ g \in G : g a g^{-1} = a \text{ for all } a \in A \}.$$ If this is true, I see that the kernel is a subset of the centralizer, but how are they equal?

• The centraliser is always contained in the normaliser. – Daniel Fischer Oct 6 '13 at 18:14

We always have $C_G(A) \subset N_G(A)$, since
$$N_G(A) = \{g\in G : gAg^{-1} = A\} = \left\{ g \in G : \bigl(\forall a \in A\bigr)\bigl(gag^{-1}\in A\bigr)\right\},$$
and of course a group element that fixes $A$ elementwise under conjugation fixes $A$ as a set.
$$N_G(A) \cap C_G(A) = C_G(A).$$


text:
# Thread: Verify solution of equation

1. ## Verify solution of equation

HI!

Directions: verify that the x-values are solutions of the equation.

2cosx-1=0
(a.) x= pi/3

(b.) x= 5pi/3

Thanks again!

2. Originally Posted by overduex
HI!

Directions: verify that the x-values are solutions of the equation.

2cosx-1=0
(a.) x= pi/3

(b.) x= 5pi/3

Thanks again!
First, convert the radians to degrees
Then, use your calculator to find the decimal values for cosx
For example, in question a)
cos(pi/3) or cos60 = 0.5
Then sub in the value of 0.5 in the equation "2cosx - 1 = 0"
And solve:
2cos(0.5) - 1 = 0

3. Originally Posted by Macleef
Then, use your calculator to find the decimal values for cosx

I dearly hope that anyone that would be expected to be able to solve such an equation would already have memorized
$\displaystyle cos(60^o)= \frac{1}{2}$
and not need to rely on a calculator to give them that answer.

-Dan

,

,

### verify that x value

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