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Author Topic: Random Stuff  (Read 1169685 times)

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Witherweaver

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Re: Random Stuff
« Reply #3125 on: May 07, 2014, 11:57:29 am »
0

Anyone watch Silicon Valley?
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Kuildeous

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Re: Random Stuff
« Reply #3126 on: May 07, 2014, 12:08:40 pm »
0

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Watno

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Re: Random Stuff
« Reply #3127 on: May 07, 2014, 01:21:17 pm »
0

With all the mathematicians around here, there's surely someone who can help me with a Latex problem. I'm trying to nicely put a quotient space into a lemma, but I have a hard time making that look nice. What I'm currently using is this:
Code: [Select]
\newcommand{\QR}[2]{
\raisebox{1ex}{\ensuremath{#1}}
\ensuremath{\mkern-3mu}\bigg/\ensuremath{\mkern-3mu}
\raisebox{-1ex}{\ensuremath{#2}}}
\begin{document}
Seien $W$ und $Z$ wegzusammenhängende Räume mit nichtdegerierten Basispunkten $w_0$ beziehungsweise $z_0$. Dann sind $\QR{\Sigma W \times Z}{\{w_0\}\times Z}$ und $\Sigma (W\vee(W\wedge Z))$ schwach homotopieäquivalent.
\end{document}
However, this causes an ugly looking larger distance between lines at this point, but I don't want to put it into it's own line either.
Any suggestions on how to make this visually appealing?
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DStu

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Re: Random Stuff
« Reply #3128 on: May 07, 2014, 02:53:53 pm »
+1

With all the mathematicians around here, there's surely someone who can help me with a Latex problem. I'm trying to nicely put a quotient space into a lemma, but I have a hard time making that look nice. What I'm currently using is this:
Code: [Select]
\newcommand{\QR}[2]{
\raisebox{1ex}{\ensuremath{#1}}
\ensuremath{\mkern-3mu}\bigg/\ensuremath{\mkern-3mu}
\raisebox{-1ex}{\ensuremath{#2}}}
\begin{document}
Seien $W$ und $Z$ wegzusammenhängende Räume mit nichtdegerierten Basispunkten $w_0$ beziehungsweise $z_0$. Dann sind $\QR{\Sigma W \times Z}{\{w_0\}\times Z}$ und $\Sigma (W\vee(W\wedge Z))$ schwach homotopieäquivalent.
\end{document}
However, this causes an ugly looking larger distance between lines at this point, but I don't want to put it into it's own line either.
Any suggestions on how to make this visually appealing?
Nichtdegeriert -> Nichtdegeneriert?
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Watno

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Re: Random Stuff
« Reply #3129 on: May 07, 2014, 03:41:45 pm »
0

Thanks, I actually did that twice in the document.
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florrat

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Re: Random Stuff
« Reply #3130 on: May 07, 2014, 04:00:33 pm »
+2

I'd just use $(\Sigma W \times Z)/(\{w_0\}\times Z)$. You can even leave out the parentheses, the meaning should still be clear (technically it is ambiguous, but it was done in the lecture notes from which I learned homotopy theory, see e.g. Definition 9 and Example 10).
« Last Edit: May 07, 2014, 04:02:20 pm by florrat »
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Witherweaver

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Re: Random Stuff
« Reply #3131 on: May 07, 2014, 04:08:51 pm »
+1

Did you try the xfrac package?

Code: [Select]
\documentclass{minimal}
\usepackage{amsmath}
\usepackage{xfrac}
\begin{document}
Seien $W$ und $Z$ wegzusammenhängende Räume mit nichtdegerierten Basispunkten $w_0$ beziehungsweise $z_0$. Dann sind $\sfrac{\Sigma W \times Z}{\{w_0\}\times Z}$ und $\Sigma (W\vee(W\wedge Z))$ schwach homotopieäquivalent.
\end{document}

Edit: Oh, the command is \sfrac{top}{bottom}
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pingpongsam

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Re: Random Stuff
« Reply #3132 on: May 07, 2014, 04:33:31 pm »
+9

9:44 EDT 7.5lbs 20" 8.5hrs natural 0 complications
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Witherweaver

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Re: Random Stuff
« Reply #3133 on: May 07, 2014, 04:36:09 pm »
0

9:44 EDT 7.5lbs 20" 8.5hrs natural 0 complications

Brag board!
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Ozle

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Re: Random Stuff
« Reply #3134 on: May 07, 2014, 04:46:02 pm »
+5

9:44 EDT 7.5lbs 20" 8.5hrs natural 0 complications

Congratulations!
I knew you'd conquer that Big Burger Eating challenge finally!
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SirPeebles

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Re: Random Stuff
« Reply #3135 on: May 07, 2014, 04:47:04 pm »
+3

9:44 EDT 7.5lbs 20" 8.5hrs natural 0 complications

Nice!  That must have been one satisfying dump.
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Watno

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Re: Random Stuff
« Reply #3136 on: May 07, 2014, 04:48:43 pm »
+1

I'd just use $(\Sigma W \times Z)/(\{w_0\}\times Z)$. You can even leave out the parentheses, the meaning should still be clear (technically it is ambiguous, but it was done in the lecture notes from which I learned homotopy theory, see e.g. Definition 9 and Example 10).
The author of the book I'm working with did this (without parentheses). It confused me to no end why he was collapsing single points.
I think I found a solution I like, going with
Code: [Select]
Dann besteht eine schwache Homotopieäquivalenz
\[\QR{\Sigma W\times Z}{\{w_0\}\times Z}\to\Sigma(W\vee(W\wedge Z)).\]
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Axxle

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Re: Random Stuff
« Reply #3137 on: May 07, 2014, 04:57:37 pm »
0

9:44 EDT 7.5lbs 20" 8.5hrs natural 0 complications
Wow! Right on time!
Baby is due May 7th.
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Witherweaver

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Re: Random Stuff
« Reply #3138 on: May 07, 2014, 04:59:36 pm »
0

I'd just use $(\Sigma W \times Z)/(\{w_0\}\times Z)$. You can even leave out the parentheses, the meaning should still be clear (technically it is ambiguous, but it was done in the lecture notes from which I learned homotopy theory, see e.g. Definition 9 and Example 10).
The author of the book I'm working with did this (without parentheses). It confused me to no end why he was collapsing single points.
I think I found a solution I like, going with
Code: [Select]
Dann besteht eine schwache Homotopieäquivalenz
\[\QR{\Sigma W\times Z}{\{w_0\}\times Z}\to\Sigma(W\vee(W\wedge Z)).\]

There are also \mathlarger{} and \mathsmaller{} commands in the relsize package.  And they stack.
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Kirian

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Re: Random Stuff
« Reply #3139 on: May 07, 2014, 05:16:41 pm »
0

9:44 EDT 7.5lbs 20" 8.5hrs natural 0 complications


Congrats!  Is this your first? If so, I will quietly seethe in my wife's stead (our oldest was a 20+ hour labor.)

Also, very brave going natural!
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mail-mi

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Re: Random Stuff
« Reply #3140 on: May 07, 2014, 05:25:06 pm »
+1

Utah: where you can have all 4 seasons in one day.
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eHalcyon

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Re: Random Stuff
« Reply #3141 on: May 07, 2014, 05:37:07 pm »
0

Utah: where you can have all 4 seasons in one day.

There are 4 seasons?  I only know of 2.
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Tables

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Re: Random Stuff
« Reply #3142 on: May 07, 2014, 05:40:05 pm »
+1

So I recently read this post:

That being said, I wouldn't expect it to be implemented quickly, assuming it's more on the order of Black Market and Stash (rather than Envoy, Walled Village, and Governor). Basically, if it needs a new interface to do its thing, I expect it to take awhile.
Here's a secret about the promo that perhaps it's time to reveal:

LastFootnote playtested the promo.

After upvoting it I noticed it had two respect. I decided to check who did upvote it, and was somehow surprised to see my name there.

Wow Tables. Nice job.
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Kirian

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Re: Random Stuff
« Reply #3143 on: May 07, 2014, 06:13:53 pm »
0

http://benjaminlmoore.wordpress.com/2014/03/06/most-common-rng-seeds-r-github/

Perfect for this thread:  A blog post I randomly found about the seeds programmers random use for their pseudo-random number generators.  (Spoiler:  Everyone just uses 1.  Seems legit.)

Aside:  In the far past when I've done programming and needed random, I usually seeded using microtime().  Anyone else do some variant of that?
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WalrusMcFishSr

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Re: Random Stuff
« Reply #3144 on: May 07, 2014, 06:30:44 pm »
+7

Utah: where you can have all 4 seasons in one day.

There are 4 seasons?  I only know of 2.

Eh, Utah really slowed down around season 3, season 4 isn't even worth watching
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Re: Random Stuff
« Reply #3145 on: May 07, 2014, 06:43:26 pm »
+3

It's always nice to finally understand why something I knew was true.  For instance, I learned a while ago that e^(i*pi) is equal to -1, but I never knew why.  In a calculus textbook I was reading, he went off on a random tangent (not a sine (but now I might be going off on a cotangent mentioning this)) about imaginary exponents, and I realized what was going on while it was happening.
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   Quote from: sudgy on June 31, 2011, 11:47:46 pm

ConMan

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Re: Random Stuff
« Reply #3146 on: May 07, 2014, 07:29:08 pm »
0

http://benjaminlmoore.wordpress.com/2014/03/06/most-common-rng-seeds-r-github/

Perfect for this thread:  A blog post I randomly found about the seeds programmers random use for their pseudo-random number generators.  (Spoiler:  Everyone just uses 1.  Seems legit.)

Aside:  In the far past when I've done programming and needed random, I usually seeded using microtime().  Anyone else do some variant of that?
If it's something I'm going to have to debug, I set the seed to something recognisable but unusual - like a few digits of pi, or a nice big power of 2 - so that I can rule out unusual results from the RNG fairly early on as a potential source of error. Then I will sometimes drop the seed for production runs, although not always because I'm lazy like that.
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eHalcyon

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Re: Random Stuff
« Reply #3147 on: May 07, 2014, 07:30:08 pm »
0

Utah: where you can have all 4 seasons in one day.

There are 4 seasons?  I only know of 2.

Eh, Utah really slowed down around season 3, season 4 isn't even worth watching

Canada has Winter and Road Construction.  After that it's just been re-runs.
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heron

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Re: Random Stuff
« Reply #3148 on: May 07, 2014, 07:32:17 pm »
+1

It's always nice to finally understand why something I knew was true.  For instance, I learned a while ago that e^(i*pi) is equal to -1, but I never knew why.  In a calculus textbook I was reading, he went off on a random tangent (not a sine (but now I might be going off on a cotangent mentioning this)) about imaginary exponents, and I realized what was going on while it was happening.

And now you know why all of those trigonometry formulae work too!
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SirPeebles

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Re: Random Stuff
« Reply #3149 on: May 07, 2014, 07:37:14 pm »
0

It's always nice to finally understand why something I knew was true.  For instance, I learned a while ago that e^(i*pi) is equal to -1, but I never knew why.  In a calculus textbook I was reading, he went off on a random tangent (not a sine (but now I might be going off on a cotangent mentioning this)) about imaginary exponents, and I realized what was going on while it was happening.

And now you know why all of those trigonometry formulae work too!

I hate teaching trig in classes that don't yet have Euler's formula.  Well, that's not true; I still enjoy trig.  But it is so much more elegant with Euler's formula.
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