Tirian wrote:using the popular term is [...] more popular

>_>

<_<

- Sun Sep 26, 2010 1:12 am UTC
- Forum: Mathematics
- Topic: Factorising the sum of two squares
- Replies:
**15** - Views:
**1751**

Tirian wrote:using the popular term is [...] more popular

>_>

<_<

- Sat Sep 25, 2010 11:58 pm UTC
- Forum: Mathematics
- Topic: Factorising the sum of two squares
- Replies:
**15** - Views:
**1751**

[math]a^{2}+b^{2} = (a+b)^{2}-2ab[/math]

Not quite what you're looking for, but it can prove to be useful to know that off hand. I think "irreducible" is a better term because of situations like this.

Not quite what you're looking for, but it can prove to be useful to know that off hand. I think "irreducible" is a better term because of situations like this.

- Tue Sep 21, 2010 11:22 pm UTC
- Forum: Serious Business
- Topic: Men-only hairdresser. Not bad or supporting sexism?
- Replies:
**131** - Views:
**19053**

I think "Men's Styles Only" would be a better way to put it. If a lady came in asking for a haircut that's typical of men, I wouldn't deny her. Not much different than a Women's Clothing Store.

- Mon Sep 20, 2010 12:20 am UTC
- Forum: Mathematics
- Topic: Complex number to a power
- Replies:
**6** - Views:
**1401**

I don't why you'd want to avoid polar form. It's really quite powerful. You have to be careful though since [imath]tan^{-1}\theta[/imath] only returns values from [imath]-\frac{\pi }{2}[/imath] to [imath]\frac{\pi }{2}[/imath] and so it needs to be adjusted if the angle is in the 2nd or 3rd quadrant.

- Tue Sep 14, 2010 2:40 am UTC
- Forum: Mathematics
- Topic: 0 is not an even number
- Replies:
**34** - Views:
**4126**

Pi is 3!

The plane on the treadmill won't take off!

The plane on the treadmill won't take off!

- Mon Sep 13, 2010 2:44 am UTC
- Forum: Mathematics
- Topic: Which is it? (straight line or circle through a portal?)
- Replies:
**33** - Views:
**4988**

What would make it a circle?

- Tue Sep 07, 2010 11:39 pm UTC
- Forum: Mathematics
- Topic: Math Websites
- Replies:
**125** - Views:
**182142**

I can't stand his voice, unfortunately

- Mon Sep 06, 2010 2:07 am UTC
- Forum: General
- Topic: Logical fallacies/douchebaggery in commercials.
- Replies:
**4973** - Views:
**751669**

GhostWolfe wrote:I'm guessing if you're really up shit creek (your debts utterly outweigh your income), then they probably won't help you.

/angell

That service sounds legitimate so long as you can actually manage to afford your debts at some point, as you said.

- Sat Sep 04, 2010 7:03 pm UTC
- Forum: Language/Linguistics
- Topic: Annoying words, and Words You Hate
- Replies:
**1991** - Views:
**485837**

About "an historic" .. I live around Baltimore so it's my nature to slur some words together every once in a while. Sometimes the jarring nature of "a historic" is inappropriate and the smoother alternative, "an historic," is super duper pleasing.

- Sat Sep 04, 2010 3:43 pm UTC
- Forum: Science
- Topic: What's the difference between man and animals?
- Replies:
**135** - Views:
**14741**

What is the difference between how we think and instinct? How do we know that other animals do not have an inner-monologue like we do? What does it mean to be conscious? What does it mean to be sentient? How do we know that some animals aren't all of those things? I have a greater question though re...

- Wed Sep 01, 2010 1:59 am UTC
- Forum: General
- Topic: Logical fallacies/douchebaggery in commercials.
- Replies:
**4973** - Views:
**751669**

I think it could be a good idea in certain situations. If the payments are just too large, what else can you do? I suppose you could ask your bank to see if they do anything similar with better rates but if you're that far in debt then the bank probably doesn't trust you with their money anymore.

- Tue Aug 31, 2010 9:59 pm UTC
- Forum: General
- Topic: Logical fallacies/douchebaggery in commercials.
- Replies:
**4973** - Views:
**751669**

In these times of financial uncertainty, I've been seeing a lot of ads for a small business that provides a "budgeting" service. In the ad, they vaguely mention that they pay all your bills for you, so I guess you turn over all your expenses to them and they bill you each month. Cause wha...

- Tue Aug 31, 2010 9:33 pm UTC
- Forum: Mathematics
- Topic: Math: Fleeting Thoughts
- Replies:
**434** - Views:
**158336**

- Tue Aug 31, 2010 2:27 am UTC
- Forum: Mathematics
- Topic: Wait, is this really true?
- Replies:
**36** - Views:
**4463**

It's not hard to derive when you consider this identity I lifted off the Wiki page that was posted for my once ignorant self ( :P ): (2k-1)!!=\frac{(2k)!}{k!2^k} . I suppose it looked more elegant in the first place but I consider my version to be more simple. I'm going to talk to my...

- Mon Aug 30, 2010 6:44 pm UTC
- Forum: Mathematics
- Topic: Math: Fleeting Thoughts
- Replies:
**434** - Views:
**158336**

I was trying to find a way to expand (2n)! without using [imath]\pi[/imath] but was unsuccessful .

- Mon Aug 30, 2010 4:38 pm UTC
- Forum: Mathematics
- Topic: Wait, is this really true?
- Replies:
**36** - Views:
**4463**

I interpreted n!! as (n!)!. That was my intuition because I'd never seen it used before. If you limit yourself to whole values of n then the limit is still really simple. Edit: n!! can be expressed in terms of !, so fractional n wouldn't make the limit crazy either. Edit: Using a little mathamagic a...

- Mon Aug 30, 2010 4:17 pm UTC
- Forum: Mathematics
- Topic: Wait, is this really true?
- Replies:
**36** - Views:
**4463**

I find this one the most intriguing because of how simple it: \pi = \lim_{n\rightarrow \infty }\frac{2(2n)!!^{2}}{(2n+1)(2n-1)!!^{2}} Plus where else would you find something as ridiculous as !!^{2} ? Look at how fast it grows.. Nvm, !! did not mean what I thought it did.

- Mon Aug 30, 2010 12:44 pm UTC
- Forum: General
- Topic: ughhh... Juvenile court for a ticket. Advice?
- Replies:
**57** - Views:
**5633**

^ Clever, but what case could the OP make? None, really. It's his word against the cop's because there is no other evidence.

- Mon Aug 30, 2010 1:50 am UTC
- Forum: General
- Topic: Things you like the idea better than the actual thing.
- Replies:
**30** - Views:
**4476**

I've seen a lot of games that would be amazing if not for one stupid fault. Right now I'm playing through Final Fantasy Tactics A2, and the AI is just... facepalmish. The enemies still put up a good fight, but they'll occasionally do things like silencing people who don't have spells, using basic a...

- Mon Aug 30, 2010 12:12 am UTC
- Forum: General
- Topic: ughhh... Juvenile court for a ticket. Advice?
- Replies:
**57** - Views:
**5633**

My older brother, an expert at getting tickets at this point, offers the same advice to anyone: if the cop shows up, plead guilty. If the cop is absent, plead innocent. It's not worth fighting a ticket. You're going to lose. If the cop doesn't show then you get what you plead.

- Sun Aug 29, 2010 12:22 am UTC
- Forum: Mathematics
- Topic: Summing terms succesively squared
- Replies:
**18** - Views:
**1945**

^ But that integral doesn't converge, so it doesn't really help us

- Sat Aug 28, 2010 11:33 pm UTC
- Forum: Mathematics
- Topic: Summing terms succesively squared
- Replies:
**18** - Views:
**1945**

Sagekilla wrote:Disregard that, came out bad.

I know the feeling

I did some experimentation in Mathematica and theorem seems extremely sound. Wish I knew the name! Do know if it always provides a lower-bound?

- Sat Aug 28, 2010 11:00 pm UTC
- Forum: Mathematics
- Topic: Summing terms succesively squared
- Replies:
**18** - Views:
**1945**

Oh, I was under the impression that the two were completely equal . The graph looks like the integral approaches the actual sum asymptotically. Could that be part of the formal theorem?

Thanks for the explanation, really appreciate it

Thanks for the explanation, really appreciate it

- Sat Aug 28, 2010 8:05 pm UTC
- Forum: Mathematics
- Topic: Summing terms succesively squared
- Replies:
**18** - Views:
**1945**

Sagekilla wrote:Well, if you use the assumption that s(x) is sufficiently dense over the summation and convert it to an integral, you get:

[math]\sum_{n=0}^{\infty} x^{2^{n}} = \int_{0}^{\infty} x^{2^{n}} dn[/math]

How does this work? And how dense is sufficient?

- Sat Aug 28, 2010 2:28 am UTC
- Forum: Mathematics
- Topic: Summing terms succesively squared
- Replies:
**18** - Views:
**1945**

After some fiddling I've reached a dead end that could be of interest. I've defined a new function, \sigma (t) , like so: \sigma (t) = \int_{0}^{t}s(v)dv where s(x) = \sum_{i=0}^{\infty} x^{2^{n}} . It is defined for 0 \leq t < 1 Noting that... \int_{\alpha }^{\beta }...

- Fri Aug 27, 2010 5:10 pm UTC
- Forum: General
- Topic: Help me with cheesy adages about 'bad examples'!
- Replies:
**16** - Views:
**3009**

"The blind leading the blind" is a no-no out of context, if you ask me.

- Fri Aug 27, 2010 1:57 am UTC
- Forum: General
- Topic: Logical fallacies/douchebaggery in commercials.
- Replies:
**4973** - Views:
**751669**

How in the world does someone make the connection between "Every 8 years your mattress doubles in weight from leftover skin gunk and such" to "Get a new mattress every 8 years!!!" Seriously. Is double-weight the breakeven point? Doubles in weight? Citation needed there. I don't ...

- Wed Aug 25, 2010 2:48 pm UTC
- Forum: General
- Topic: Why understanding is good, and why reality is real
- Replies:
**27** - Views:
**3245**

Not to burst any bubbles, but if the kid honestly didn't think that understanding the universe around us was worth-while then trying to convince him will be fruitless.

- Mon Aug 23, 2010 3:33 pm UTC
- Forum: Music
- Topic: Picky About New Music, Plz Help Me Find Some
- Replies:
**8** - Views:
**2455**

Take a risk and listen to Portugal. The Man's album Waiter: 'You Vultures!'.

- Thu Aug 19, 2010 4:00 pm UTC
- Forum: Mathematics
- Topic: Does anyone else create formulae on the spot?
- Replies:
**21** - Views:
**2951**

It's also cool when nobody around you remembers any of their fifth-grade algebra and you seem like some sorta wizard by being able to re-tool recipes on the fly. I believe by "cool" you mean "disgusting." Seriously, some of the math that people get amazed at-being able to calcul...

- Tue Aug 17, 2010 2:42 pm UTC
- Forum: Mathematics
- Topic: Does anyone else create formulae on the spot?
- Replies:
**21** - Views:
**2951**

Torn Apart By Dingos wrote:I don't. I consider linear formulopodes too trivial and non-linear ones too difficult.

This.

Typically I avoid math when watching a cooking show. Cooking shows are for looking at pretty food and cleavage. The latter is not the case for Good Eats.

- Mon Aug 16, 2010 3:52 am UTC
- Forum: Mathematics
- Topic: improve upon the age/2+7 rule of creepynes
- Replies:
**51** - Views:
**8033**

Okay, well we need to decide a few things. First off, two people of the same age dating is not creepy, correct? Let's say a 28 year old dating a 14 year old is a creepiness level of 1. What two ages are twice that? What two ages are half that?

- Sun Aug 15, 2010 3:38 pm UTC
- Forum: Mathematics
- Topic: improve upon the age/2+7 rule of creepynes
- Replies:
**51** - Views:
**8033**

When they do date, it seems way more innocent than creepy.

- Sat Aug 14, 2010 4:35 am UTC
- Forum: Music
- Topic: Identifying a Commonality?
- Replies:
**3** - Views:
**1224**

I'm pretty well versed in theory so I thought I could help, but I can't seem to identify what you found similar between them. I recognized a motif between the first two, but that's it.

- Sat Aug 14, 2010 3:46 am UTC
- Forum: Music
- Topic: Favorite Time Signatures
- Replies:
**120** - Views:
**21012**

7/8 is my favorite. Putting a climatic part of a song is 7/8 just makes my stomach hurt in a good way.

- Fri Aug 13, 2010 3:02 am UTC
- Forum: General
- Topic: Logical fallacies/douchebaggery in commercials.
- Replies:
**4973** - Views:
**751669**

There are products at GNC that are supposedly equivalent to many, many, many yogurts.

- Wed Aug 11, 2010 3:47 pm UTC
- Forum: General
- Topic: Hifaleetin' thoughts
- Replies:
**90216** - Views:
**9221697**

phlip wrote:I think I read somewhere that the bigger your breast is, the bigger your other breast is. It's not a perfect correlation, but it's pretty strong.

I'll take that as a very confident 'no'.

- Wed Aug 11, 2010 5:18 am UTC
- Forum: General
- Topic: Hifaleetin' thoughts
- Replies:
**90216** - Views:
**9221697**

Spam or not, they have no brakes

So you know how myths are always being spread about correlations between the length of one body part and the length of man's junk? Bigger the foot bigger the junk? Well we all know those are untrue, but what about breasts? Are there any legitimate correlations?

So you know how myths are always being spread about correlations between the length of one body part and the length of man's junk? Bigger the foot bigger the junk? Well we all know those are untrue, but what about breasts? Are there any legitimate correlations?

- Thu Aug 05, 2010 12:39 am UTC
- Forum: Science
- Topic: Female disinterest in STEM
- Replies:
**86** - Views:
**9981**

I'm going to try to relate this to cats and poop. It won't be evolutionary psychology, I promise. Cat's carry their scent in their poop. Because predators of cats and kittens often track their prey by the trail left by their poop, cats as a species have learned to take their time to bury their poop ...

- Wed Aug 04, 2010 4:58 am UTC
- Forum: Mathematics
- Topic: Factorials question
- Replies:
**30** - Views:
**3477**

^ I don't really find any of those intuitive for 0. Maybe that's just me. Yeah, probably. If nothing else, I suspect one of those explanations most of the rest of us find intuitive is far more likely to have been the origin of the convention 0! = 1 than simply "someone decided the value and it...