There's calculating fractal dimension (Sierpinski's triangle is a fractal, as you probably know) and that definitely involves logarithms.

http://www.vanderbilt.edu/AnS/psycholog ... ctals.html

## Search found 83 matches

- Tue Mar 08, 2011 9:35 pm UTC
- Forum: Mathematics
- Topic: Sierpinski's triangle
- Replies:
**5** - Views:
**1411**

- Fri Mar 04, 2011 1:23 pm UTC
- Forum: Individual XKCD Comic Threads
- Topic: 0868: "Nolan Chart"
- Replies:
**120** - Views:
**176887**

### Re: 0868: "Nolan Chart"

Though one of the questions was a bit iffy; "There should be no laws regarding sex for consenting adults." Well, what about incest? I'm all against sodomy laws or bans on interracial marriage, also in favor of legalizing prostitution*, making me an "arch-libertarian" on that iss...

- Wed Mar 02, 2011 6:42 pm UTC
- Forum: Mathematics
- Topic: Riemann Series Theorem
- Replies:
**2** - Views:
**889**

### Riemann Series Theorem

So I've been looking at the Riemann Series Theorem recently, where when the terms of a conditionally convergent sequence are rearranged, they can form a different sum than the original arrangement.

Where's the proof that shows this holds for all conditionally convergent sequences? Does it?

Where's the proof that shows this holds for all conditionally convergent sequences? Does it?

- Mon Feb 28, 2011 2:24 pm UTC
- Forum: Science
- Topic: Uncertain on Uncertainty
- Replies:
**50** - Views:
**5070**

### Re: Uncertain on Uncertainty

The momentum of the position electron would change as soon as you look at it, because to see it you'd have to see a photon that bounced off of it. Wouldn't that make it move in a different direction?

- Thu Feb 24, 2011 6:48 pm UTC
- Forum: Coding
- Topic: Learning Languages
- Replies:
**7** - Views:
**1553**

### Learning Languages

I'm currently a newbie to coding, and I'm taking a class in Java at the time. I've been thinking about when I become adept in my first coding language, and I definitely want to know a larger range of languages. After learning Java, what other languages should I take that are somewhat related to Java...

- Fri Feb 18, 2011 1:40 pm UTC
- Forum: Individual XKCD Comic Threads
- Topic: 0862: "Let Go"
- Replies:
**146** - Views:
**41339**

### Re: 0862: "Let Go"

Now Randall doesn't even have to make a joke at all.

Well, shit.

Well, shit.

- Wed Feb 16, 2011 1:53 pm UTC
- Forum: Individual XKCD Comic Threads
- Topic: 0859: "("
- Replies:
**216** - Views:
**57593**

### Re: 0859: "("

Guys, seriously: You have never thought about unfinished paranthesises before, and you certainly don't harbour a smouldering phobia about them. Errr... I think about unfinished parentheses whenever I see unfinished parentheses. Which, on the internet, is fairly frequently. If misused punctuation ne...

- Wed Jan 19, 2011 1:23 pm UTC
- Forum: Individual XKCD Comic Threads
- Topic: 0849: "Complex Conjugate"
- Replies:
**96** - Views:
**24258**

### Re: 0849: "Complex Conjugate"

This comic would be funny, but the joke's been done before. For a loooong while. As someone said, there are t-shirts with this stuff on it. Sure, it's mildly funny when people first encounter it, but if you're catering to an audience of smart people, as Randall should be, they're not going to be imp...

- Tue Jan 18, 2011 6:48 pm UTC
- Forum: Mathematics
- Topic: Nerd alert (messing around with the quadratic formula)
- Replies:
**25** - Views:
**2908**

### Re: Nerd alert (messing around with the quadratic formula)

Something interesting I found when I was messing with it as well. With some really simple manipulation, you get

2ax+b=sqrt(b^2-4ac)

And what's more is that 2ax+b is the derivative of ax^2+bx+c.

2ax+b=sqrt(b^2-4ac)

And what's more is that 2ax+b is the derivative of ax^2+bx+c.

- Fri Jan 14, 2011 1:54 pm UTC
- Forum: Mathematics
- Topic: a bizzare question
- Replies:
**6** - Views:
**1107**

### Re: a bizzare question

I'd have to say uncountably infinite/undefined.

The real numbers are uncountably infinite. So a group of mathematical objects would be even larger.

The real numbers are uncountably infinite. So a group of mathematical objects would be even larger.

- Thu Jan 06, 2011 1:47 pm UTC
- Forum: Mathematics
- Topic: Continuum Hypothesis- questions regarding proof/disproof
- Replies:
**3** - Views:
**621**

### Continuum Hypothesis- questions regarding proof/disproof

I understand what the continuum hypothesis is. It states that the cardinality of the numbers between zero and one is the same as the cardinality of numbers between one and two, or two and three, or three and four, etc. Apparently this cannot be proven or disproven. But it's SO FREAKING OBVIOUS (at l...

- Wed Dec 15, 2010 1:55 pm UTC
- Forum: Language/Linguistics
- Topic: Think Before Naming Your Child
- Replies:
**1622** - Views:
**345120**

### Re: Think Before Naming Your Child

Similar kind of situation, but it has to do with online names.

Someone I knew named themselves Cinsesso (pronounced Sin-sess-o) because "it sounded cool".

Apparently it sounds spanish for "without brains"

Someone I knew named themselves Cinsesso (pronounced Sin-sess-o) because "it sounded cool".

Apparently it sounds spanish for "without brains"

- Wed Dec 15, 2010 1:51 pm UTC
- Forum: Language/Linguistics
- Topic: Punnilingus
- Replies:
**135** - Views:
**64844**

### Re: Punnilingus

Chem class. Teacher: "Yeah, I majored in Comp Sci, but I left about a year and a half before I got my degree. It was back in the time where the computers were big, and kept in cold places. I just got tired of me and the others running around trying to get all this stuff done. It was crazy."...

- Tue Dec 14, 2010 12:25 am UTC
- Forum: Mathematics
- Topic: Primes vs. Natural Numbers
- Replies:
**9** - Views:
**1744**

### Re: Primes vs. Natural Numbers

One possible way to try to make more precise the idea of the ratio (Amount of primes)/(Amount of natural numbers) is to look at what proportion of the first n natural numbers are prime, and then take the limit of that proportion as n approaches infinity. http://en.wikipedia.org/wiki/Natural_density...

- Mon Dec 13, 2010 11:29 pm UTC
- Forum: Mathematics
- Topic: Primes vs. Natural Numbers
- Replies:
**9** - Views:
**1744**

### Re: Primes vs. Natural Numbers

No, more like Cardinality of primes/Cardinality of Natural Numbers.

- Mon Dec 13, 2010 6:56 pm UTC
- Forum: Mathematics
- Topic: Primes vs. Natural Numbers
- Replies:
**9** - Views:
**1744**

### Primes vs. Natural Numbers

Does there exist a defined expression that describes the amount of prime numbers over the amount of natural numbers?

Is such an expression meaningless?

Also, if it helps, just assume the Riemann Hypothesis is true.

Is such an expression meaningless?

Also, if it helps, just assume the Riemann Hypothesis is true.

- Wed Dec 08, 2010 6:30 pm UTC
- Forum: Mathematics
- Topic: Fourier, Laplace transform questions
- Replies:
**12** - Views:
**1608**

### Re: Fourier, Laplace transform questions

I dunno much about Fourier transforms, but the LaPlace transform is a linear operator defined by the integral \int_0^{\infty}e^{-st}f(t)dt=F(s) and is used to solve differential equations of order n, given initial values of the solution function and it's n-1 derivatives. Basically y...

- Tue Dec 07, 2010 6:37 pm UTC
- Forum: Mathematics
- Topic: Fourier, Laplace transform questions
- Replies:
**12** - Views:
**1608**

### Re: Fourier, Laplace transform questions

I'll focus on Fourier transforms, they're a little easier imo. So, start with a periodic function, f:R \to R , and lets say that it has period 2π. If it doesn't have period 2π, you can fiddle it so that what I describe works for it too (just work with g(x)= f(2πx/T) where T is the period). A questi...

- Tue Dec 07, 2010 1:25 pm UTC
- Forum: Mathematics
- Topic: Fourier, Laplace transform questions
- Replies:
**12** - Views:
**1608**

### Fourier, Laplace transform questions

I've heard these terms being used multiple times around this forum, and also in the comics. Particularly Fourier Transforms. I don't really get either of them very well. So x is time and y is frequency for a Fourier Transform. Can anyone give an example to give a bit of detail on how it works? I hav...

- Tue Dec 07, 2010 1:17 pm UTC
- Forum: Mathematics
- Topic: Polar Coordinates Intuition
- Replies:
**7** - Views:
**1581**

### Re: Polar Coordinates Intuition

Imagine a sheet of paper as the plane. One edge can be the x, the other y. The only thing to do is curve the paper into a cone, and look at it from the top down. Except you can't curve an infinite plane into a cone can you? Not unless you wrap it around multiple times. Infinite, actually. But the m...

- Mon Dec 06, 2010 1:55 pm UTC
- Forum: Mathematics
- Topic: Polar Coordinates Intuition
- Replies:
**7** - Views:
**1581**

### Re: Polar Coordinates Intuition

The argument is theta, and the radius is the value. In normal rectangular geometry, the horizontal (x) is the argument, and the vertical (y) is the value. So, when it came to polar graphs, Imagine a sheet of paper as the plane. One edge can be the x, the other y. The only thing to do is curve the pa...

- Mon Nov 29, 2010 6:55 pm UTC
- Forum: Mathematics
- Topic: 3x3 inverse matrices; explanations
- Replies:
**3** - Views:
**1133**

### 3x3 inverse matrices; explanations

I was messing around with finding a general formula for the inverse of a 3x3 matrix this morning, and I came up with an answer from using the trick with augmenting the matrix with the identity matrix, then essentially just brute forcing my way to the answer and hoping the terms worked themselves out...

- Tue Nov 23, 2010 5:45 pm UTC
- Forum: Mathematics
- Topic: Probably not feasible, but...
- Replies:
**8** - Views:
**986**

### Re: Probably not feasible, but...

But you also don't need to be formally published in an approved math journal to be able to demonstrate your talents and interests. If you read some mathematical book that is outside the high school curriculum and write your own thoughts about it (like reproving some of the fundamental results in yo...

- Mon Nov 22, 2010 10:35 pm UTC
- Forum: Mathematics
- Topic: Probably not feasible, but...
- Replies:
**8** - Views:
**986**

### Probably not feasible, but...

First off, I want to say that I realize I might be acting impatient or not fully appreciating the difficulty of math at today's level. I'm in 11th grade, and want to make a really good impression with colleges that I'm going to apply to. I'd consider myself above the average mathematics level even f...

- Fri Nov 19, 2010 1:55 pm UTC
- Forum: Mathematics
- Topic: Math bloopers heard in math classes
- Replies:
**252** - Views:
**34825**

### Re: Math bloopers heard in math classes

My current math teacher once pronounced Euler as well... Yoo-ler.

...I was thinking about being a smartass and asking if it was Euler's evil twin, but I decided not to.

...I was thinking about being a smartass and asking if it was Euler's evil twin, but I decided not to.

- Wed Nov 10, 2010 6:46 pm UTC
- Forum: Mathematics
- Topic: Complex integration- Not quite "getting" it.
- Replies:
**7** - Views:
**1987**

### Complex integration- Not quite "getting" it.

I already understand how and why the Cauchy-Riemann equations work for Complex Differentiation (limit is valid for any direction in the plane, and the equations are the result of equating the derivatives taken from the real and imaginary axes), but as for its life partner, Complex Integration, I don...

- Wed Nov 10, 2010 1:20 pm UTC
- Forum: Individual XKCD Comic Threads
- Topic: 0816: "Applied Math"
- Replies:
**88** - Views:
**27970**

### Re: 0816: "Applied Math"

Hilbert cringes at Godel's Incompleteness Theorem.

This probably makes him roll in his grave.

This probably makes him roll in his grave.

- Mon Nov 01, 2010 1:21 pm UTC
- Forum: Mathematics
- Topic: Name this curve
- Replies:
**23** - Views:
**5057**

### Re: Name this curve

I'm not totally sure that this is it, but it definitely looks like a rose curve.

http://en.wikipedia.org/wiki/Quadrifolium

http://en.wikipedia.org/wiki/Quadrifolium

- Mon Oct 18, 2010 1:37 pm UTC
- Forum: Mathematics
- Topic: RIP Benoit Mandelbrot
- Replies:
**7** - Views:
**1657**

### Re: RIP Benoit Mandelbrot

Even I'll miss him. His work and other work on fractals helped inspire me to work more in mathematics.

- Mon Oct 18, 2010 1:05 pm UTC
- Forum: Mathematics
- Topic: First Paper
- Replies:
**4** - Views:
**905**

### First Paper

I love mathematics. It's my favorite subject. In particular, Complex Analysis is interesting. I'm a junior in high school. I take the IB program, and for it, I have to type an extended essay on a subject of my choice, but I'm sure that it has to bring something "new". Which brings me to my...

- Mon Oct 11, 2010 12:47 pm UTC
- Forum: Mathematics
- Topic: Integrals over an infinite interval.
- Replies:
**8** - Views:
**1644**

### Integrals over an infinite interval.

How would one go about evaluating them? For example, a Fourier transform. Or a normal distribution curve.

- Tue Sep 21, 2010 12:54 pm UTC
- Forum: Science
- Topic: Can you swim in a superfluid?
- Replies:
**26** - Views:
**4732**

### Re: Can you swim in a superfluid?

Maybe you could swim in a superfluid, but right now I'm going to say no because of the low temperatures they have. I don't think it would be very... healthy to swim in one.

- Mon Sep 20, 2010 10:37 pm UTC
- Forum: Science
- Topic: Question on friction
- Replies:
**2** - Views:
**746**

### Question on friction

So I'm in your average early physics lab, and we're going to find an approximation to the coefficient of friction (in this case, static friction) between two surfaces. The method we're using is that we are finding the angle of repose for this object, and using that to find the coefficient. I just ha...

- Mon Aug 23, 2010 1:26 pm UTC
- Forum: Individual XKCD Comic Threads
- Topic: 0763: "Workaround"
- Replies:
**166** - Views:
**40459**

### Re: "Workaround" discussion

One of my most hated parts about people who don't know how to use the computer isn't not knowing how to use the computer itself, but... TYPING QUICKLY. I'm tired of the seek-and-peck method that my mom still uses. Although that being said, she's a computer genius compared to the people I'm reading o...

- Mon Aug 16, 2010 1:22 pm UTC
- Forum: Gaming
- Topic: Monster Hunter 3/MH in general
- Replies:
**23** - Views:
**3300**

### Monster Hunter 3/MH in general

What do you guys think about it? Personally, I love it. I like the lack of lock-on and the fact the you actually have to be prepared beforehand. Maybe I'm not looking hard enough, but I just can't find much action rpgs today that fit that category.

- Mon Aug 16, 2010 12:44 pm UTC
- Forum: School
- Topic: Lockers? Bah!
- Replies:
**48** - Views:
**7849**

### Lockers? Bah!

Purchase hiking backpack. Stuff all books in it. Give combination to someone else.

Much better. =D

Much better. =D

- Tue Jun 01, 2010 1:55 pm UTC
- Forum: Language/Linguistics
- Topic: Annoying words, and Words You Hate
- Replies:
**1969** - Views:
**475175**

### Re: Annoying words, and Words You Hate

I don't care if it has been adapted into the English language. If you pronounce jalapeno (which should be pronounced hal-uh-payn-yo) as jalapeno (hal-uh-peen-o), you deserve to die. At least MOST people have got past jalapeno (jal-uh-peen-o) and tortilla.

- Fri May 28, 2010 12:15 pm UTC
- Forum: Mathematics
- Topic: Wish I had seen/understood this comic sooner...
- Replies:
**36** - Views:
**4647**

### Re: Wish I had seen/understood this comic sooner...

oh dear god that sounds like me. When people talk about 3.1415... I almost always pipe up and say "I prefer e."

Of course, then they think that I'm making a pie joke.

Of course, then they think that I'm making a pie joke.

- Thu May 27, 2010 5:01 pm UTC
- Forum: Your art and links
- Topic: Help with Typography
- Replies:
**4** - Views:
**1892**

### Help with Typography

If this isn't the right spot, someone move this thread or something. Although since typography is pretty much considered an art, I think it should be here. I'm a high school student, and I was thinking of joining some clubs next year to help my college application (of course, it's also because I wan...

- Fri May 21, 2010 1:39 am UTC
- Forum: Individual XKCD Comic Threads
- Topic: 0736: "Cemetery"
- Replies:
**52** - Views:
**14690**

### Re: "Cemetery" discusstion

Ephemeron wrote:Typography geeks will probably hate me for saying this, but...

I think most sans-serif fonts look the same as each other.

Comic sans MS.