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Author Topic: Random Stuff  (Read 1162401 times)

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Watno

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Re: Random Stuff
« Reply #1150 on: November 07, 2013, 07:40:27 pm »
0

Btw I guess the 9 in BubbleSort isn't very good at dancing.
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Re: Random Stuff
« Reply #1151 on: November 07, 2013, 08:50:39 pm »
+2

I personally use bucket sort for sorting students' papers.
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Kuildeous

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Re: Random Stuff
« Reply #1152 on: November 08, 2013, 10:08:39 am »
0

Man, I have to look these videos up when I get home. Though, my job does entail some rudimentary programming, so I may be able to justify watching these videos.
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Ozle

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Re: Random Stuff
« Reply #1153 on: November 08, 2013, 10:57:13 am »
0

Maths question thats just come up between me and a colleague.

5! is 5x4x3x2x1 and is called factorial
What is the sign/name for 5+4+3+2+1?
I cannot seem to find it on my limited internet search and remembered you were all maths whizzes

Can we have the answer without any Cossacks please.
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Ozle

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Re: Random Stuff
« Reply #1154 on: November 08, 2013, 11:03:33 am »
0

or is it only multiplcation that has a short handy format, and in which case...why?
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Tables

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Re: Random Stuff
« Reply #1155 on: November 08, 2013, 11:08:37 am »
+2

Maths question thats just come up between me and a colleague.

5! is 5x4x3x2x1 and is called factorial
What is the sign/name for 5+4+3+2+1?
I cannot seem to find it on my limited internet search and remembered you were all maths whizzes

Can we have the answer without any Cossacks please.

1+2+3+...+n is the nth triangle number. It doesn't have an explicit symbol, to the best of my knowledge, although I've seen it written as T(n) or Tn at different times.
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...spin-offs are still better for all of the previously cited reasons.
But not strictly better, because the spinoff can have a different cost than the expansion.

Ozle

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Re: Random Stuff
« Reply #1156 on: November 08, 2013, 11:11:09 am »
0

So T(5) would = 15?

Ok, googled it and yes it does.
Weird that its phrased this way, but it will do
« Last Edit: November 08, 2013, 11:12:22 am by Ozle »
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Tables

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Re: Random Stuff
« Reply #1157 on: November 08, 2013, 11:13:05 am »
+2

or is it only multiplcation that has a short handy format, and in which case...why?

The reason for this probably comes down to a few factors. Firstly there's no easy formula for factorials. The gamma function does give you factorials, but it's a hideous formula to use. In comparison, 1+2+...+n = n(n+1)/2, which is both easy enough to remember and very quick to calculate. Secondly, factorials come up a lot in some branches of mathematics, such as combinatorics, analysis and algebra. While triangle numbers do also come up a lot, it's rarely an issue to just use the formulaic version.
« Last Edit: November 08, 2013, 12:37:01 pm by Tables »
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...spin-offs are still better for all of the previously cited reasons.
But not strictly better, because the spinoff can have a different cost than the expansion.

Witherweaver

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Re: Random Stuff
« Reply #1158 on: November 08, 2013, 11:15:12 am »
0

I personally use bucket sort for sorting students' papers.

I think that dressing your students up in costumes and having them dance a sorting algorithm is unethical.
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Witherweaver

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Re: Random Stuff
« Reply #1159 on: November 08, 2013, 11:22:03 am »
0

or is it only multiplcation that has a short handy format, and in which case...why?

The reason for this probably comes down to a few factors. Firstly there's no easy formula for factorials. The gamma function does give you factorials, but it's a hideous formula to use. In comparison, 1+2+...+n = n(n-1)/2, which is both easy enough to remember and very quick to calculate. Secondly, factorials come up a lot in some branches of mathematics, such as combinatorics, analysis and algebra. While triangle numbers do also come up a lot, it's rarely an issue to just use the formulaic version.

The Gamma function extends the factorial "function".  You could just as easily define ! for natural n by n! = n*(n-1)!, 0! =1.  It's not closed-form, though.

But yeah I agree with what you say.  Also, since infinite (or arbitrary-term finite) sums come up so often early on in education, we're used to seeing short-hand sigma and figuring out ways to evaluate them.  Arbitrary term products don't come up as often, and factorials come up much more often than an arbitrary PI_{i=1..n} a(i).
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Kuildeous

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Re: Random Stuff
« Reply #1160 on: November 08, 2013, 11:41:07 am »
+3

I think that dressing your students up in costumes and having them dance a sorting algorithm is unethical awesome.

I think you misspelled something.
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Polk5440

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Re: Random Stuff
« Reply #1161 on: November 08, 2013, 12:23:42 pm »
+4

or is it only multiplcation that has a short handy format, and in which case...why?

The reason for this probably comes down to a few factors. Firstly there's no easy formula for factorials. The gamma function does give you factorials, but it's a hideous formula to use. In comparison, 1+2+...+n = n(n-1)/2, which is both easy enough to remember and very quick to calculate. Secondly, factorials come up a lot in some branches of mathematics, such as combinatorics, analysis and algebra. While triangle numbers do also come up a lot, it's rarely an issue to just use the formulaic version.

1+2+3+...+n = n(n+1)/2
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Witherweaver

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Re: Random Stuff
« Reply #1162 on: November 08, 2013, 12:34:36 pm »
+4

I think that dressing your students up in costumes and having them dance a sorting algorithm is unethical awesome.

I think you misspelled something.

I always confuse those two.
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Tables

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Re: Random Stuff
« Reply #1163 on: November 08, 2013, 12:36:34 pm »
+5

or is it only multiplcation that has a short handy format, and in which case...why?

The reason for this probably comes down to a few factors. Firstly there's no easy formula for factorials. The gamma function does give you factorials, but it's a hideous formula to use. In comparison, 1+2+...+n = n(n-1)/2, which is both easy enough to remember and very quick to calculate. Secondly, factorials come up a lot in some branches of mathematics, such as combinatorics, analysis and algebra. While triangle numbers do also come up a lot, it's rarely an issue to just use the formulaic version.

1+2+3+...+n = n(n+1)/2

No, I'm pretty sure that 1+2=1.
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...spin-offs are still better for all of the previously cited reasons.
But not strictly better, because the spinoff can have a different cost than the expansion.

sudgy

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Re: Random Stuff
« Reply #1164 on: November 08, 2013, 12:48:10 pm »
0

or is it only multiplcation that has a short handy format, and in which case...why?

The reason for this probably comes down to a few factors. Firstly there's no easy formula for factorials. The gamma function does give you factorials, but it's a hideous formula to use. In comparison, 1+2+...+n = n(n-1)/2, which is both easy enough to remember and very quick to calculate. Secondly, factorials come up a lot in some branches of mathematics, such as combinatorics, analysis and algebra. While triangle numbers do also come up a lot, it's rarely an issue to just use the formulaic version.

1+2+3+...+n = n(n+1)/2

No, I'm pretty sure that 1+2=1.

And that 1=0.
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Witherweaver

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Re: Random Stuff
« Reply #1165 on: November 08, 2013, 01:16:41 pm »
0

or is it only multiplcation that has a short handy format, and in which case...why?

The reason for this probably comes down to a few factors. Firstly there's no easy formula for factorials. The gamma function does give you factorials, but it's a hideous formula to use. In comparison, 1+2+...+n = n(n-1)/2, which is both easy enough to remember and very quick to calculate. Secondly, factorials come up a lot in some branches of mathematics, such as combinatorics, analysis and algebra. While triangle numbers do also come up a lot, it's rarely an issue to just use the formulaic version.

1+2+3+...+n = n(n+1)/2

No, I'm pretty sure that 1+2=1.

And that 1=0.

This checks out.
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SirPeebles

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Re: Random Stuff
« Reply #1166 on: November 08, 2013, 01:21:08 pm »
0

I approve, since I want the category of rings to have a terminal object.
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SirPeebles

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Re: Random Stuff
« Reply #1167 on: November 08, 2013, 01:46:32 pm »
+6

This is the most beautiful thing I have ever read.  It brought a tear to my eye.
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Dsell

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Re: Random Stuff
« Reply #1168 on: November 11, 2013, 05:56:03 pm »
+3

Does Le Havre rhyme with Brett Favre? Or is it some other pronunciation?
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Re: Random Stuff
« Reply #1169 on: November 11, 2013, 06:45:13 pm »
0

I say Leh Harh vreh.
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AHoppy

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Re: Random Stuff
« Reply #1170 on: November 11, 2013, 06:48:52 pm »
+6

Does Le Havre rhyme with Brett Favre? Or is it some other pronunciation?
Oooh, I got this.  Since it's French, you don't pronounce the H.  So it sounds more like Le ahhve.  Except after the v, there's an r, and the French make this sound in the back of their throats that I can't do and so I sound stupid when I try to say "Le Havre".  So, I usually go "Le hervareverdeh" and my friends know what I'm talking about

Kirian

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Re: Random Stuff
« Reply #1171 on: November 11, 2013, 07:17:36 pm »
+4

It's pronounced "Lee-Haver."  Rhymes with "saver" with the emphasis on the first syllable.
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SirPeebles

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Re: Random Stuff
« Reply #1172 on: November 11, 2013, 07:19:27 pm »
0

Finally hit 1 trillion cookies per second, although I already had the achievement from the olden days when Elder Frenzy triggered it.
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ipofanes

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Re: Random Stuff
« Reply #1173 on: November 12, 2013, 03:32:27 am »
+1

Does Le Havre rhyme with Brett Favre? Or is it some other pronunciation?
It certainly rhymes with Lucien Favre. So you may be on to something. I pronounce it [lə'ʔɑ:vʁ].
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Ozle

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Re: Random Stuff
« Reply #1174 on: November 12, 2013, 08:54:41 am »
+1

Does Le Havre rhyme with Brett Favre? Or is it some other pronunciation?

It rhymes with Arbor and Barber,
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