Search found 30 matches

by kgrizzly
Thu Jan 12, 2012 12:42 am UTC
Forum: Individual XKCD Comic Threads
Topic: 1002: "Game AIs"
Replies: 251
Views: 110530

Re: 1002: "Game AIs"

Cathy mentioned that backgammon was omitted from the strip. The best AIs beat the professionals fairly reliably. Not necessarily in every single game, since the dice do introduce an element of chance, but over the course of a decently long match. This was accomplished by Shannon and improved upon by...
by kgrizzly
Sat Feb 14, 2009 11:56 pm UTC
Forum: Mathematics
Topic: How to learn Mathematics ?
Replies: 6
Views: 961

Re: How to learn Mathematics ?

[I]t might be best to learn as you go. Start writing some games or simple graphics, and learn what your limits are and what are you lacking. It is a lot easier to patch your mathematics after that. I agree with this comment of achan1058. Let me offer my humble opinion based on a bachelor's in math ...
by kgrizzly
Tue Feb 10, 2009 9:22 am UTC
Forum: Mathematics
Topic: Need your help with ideas on proofs.
Replies: 23
Views: 3171

Re: Need your help with ideas on proofs.

There is a lot more math that high schoolers are capable of understanding than they are usually exposed to. I'm not sure what sorts of math most high schoolers encounter these days. My high school did not offer calculus. On the other hand, they did offer a second year geometry course, which was quit...
by kgrizzly
Tue Feb 10, 2009 9:04 am UTC
Forum: Mathematics
Topic: Derive vs. Differentiate
Replies: 18
Views: 10032

Re: Derive vs. Differentiate

Would it be off topic to mention a pet peeve of mine that this thread reminds me of? People who say "high rate of speed", a phrase brought to you by the Department of Redundancy Department. People say this when they really mean "high speed". For speed is a rate (miles per hour, d...
by kgrizzly
Sun Jan 11, 2009 8:51 pm UTC
Forum: Mathematics
Topic: Where to publish
Replies: 10
Views: 1470

Re: Where to publish

Does it involve Fibonacci numbers? If so, there is the Fibonacci Quarterly (if it is still being published).
by kgrizzly
Sun Jan 11, 2009 6:14 am UTC
Forum: Mathematics
Topic: Learning Hexadecimal
Replies: 5
Views: 1689

Re: Learning Hexadecimal

That's all you need to know to convert hexadecimal to base 10 and vice versa. But if you want to do arithmetic in hexadecimal, you need to learn the multiplication and addition tables. (Note: nobody does this.) Base 10 has 36 nontrivial entries in its times table, and hexadecimal has 105, almost th...
by kgrizzly
Thu Jan 08, 2009 1:55 am UTC
Forum: Mathematics
Topic: Why can't I do real math? How do I fix it?
Replies: 61
Views: 7730

Re: Why can't I do real math? How do I fix it?

Here are my rambling thoughts to feed to this thread. I had never heard of "math machismo" before, though now that you mention it I'm sure it exists. That said, I don't think mathematicians go out of their way to make their papers impenetrable. It is not the sort of thing that enhances one...
by kgrizzly
Tue Dec 16, 2008 8:26 pm UTC
Forum: Mathematics
Topic: Subsets vs Proper Subsets
Replies: 16
Views: 3651

Re: Subsets vs Proper Subsets

Reminds me of an old riddle.

I have two US coins whose values sum to thirty cents. One of them is not a nickel. What are the two coins?
Spoiler:
A quarter and a nickel. (The quarter is not a nickel.)
by kgrizzly
Sun Dec 14, 2008 12:33 am UTC
Forum: Mathematics
Topic: How much topology is there in graph theory?
Replies: 11
Views: 2135

Re: How much topology is there in graph theory?

Like some of the posters above said, graph theory is a huge area of research, enough so that the one can spend a career within a particular approach. As mentioned, you can work in topological graph theory, algebraic graph theory, combinatorial graph theory, etc. Some might consider computational gra...
by kgrizzly
Thu Dec 11, 2008 9:06 pm UTC
Forum: Mathematics
Topic: Re: Mathematics
Replies: 3
Views: 918

Re: Mathematics

Short of biting the dust, there is no evidence that the capacity to learn and create mathematics diminishes with age, as a general rule.
by kgrizzly
Tue Oct 14, 2008 12:16 am UTC
Forum: Mathematics
Topic: Why squircle and not circuare?
Replies: 5
Views: 1346

Re: Why squircle and not circuare?

Mu.
by kgrizzly
Sat Sep 27, 2008 11:15 pm UTC
Forum: Mathematics
Topic: Function simplification explanation?
Replies: 5
Views: 985

Re: Function simplification explanation?

See if you can factor the numerator and denominator of your original function.
by kgrizzly
Sat Sep 27, 2008 11:10 pm UTC
Forum: Mathematics
Topic: Proving a Function is Continuous
Replies: 4
Views: 1982

Re: Proving a Function is Continuous

I was trying to prove that a certain function was continuous over the interval (-infinity, infinity) the other day. I was able to show that f(x) existed at all points, but got stuck trying to show that the limit as x approaches c exists at all points. Can anyone give me a hint? Does it involve the ...
by kgrizzly
Sat Sep 27, 2008 8:16 am UTC
Forum: Mathematics
Topic: Math undergrad
Replies: 10
Views: 2064

Re: Math undergrad

Hmmmm .... reminds me of one of my professors ... Steve Mitchell. He completed high school, but did not complete any undergraduate degree at all. I don't know whether he started work on a bachelor's degree then quit, or whether he simply did not even start undergraduate work. In any case, he says he...
by kgrizzly
Sat Sep 27, 2008 8:03 am UTC
Forum: Mathematics
Topic: Naughty Functions
Replies: 59
Views: 6273

Re: Naughty Functions

How about generating functions? Which, I suppose, are not functions in the usual sense. Or perhaps it's better to say is that the functions themselves may not be weird, it's how they are used that seems weird when you first encounter them. The best reference on these, for beginners anyway, is Herb W...
by kgrizzly
Sat Sep 27, 2008 7:43 am UTC
Forum: Mathematics
Topic: Very simple limit question
Replies: 20
Views: 2492

Re: Very simple limit question

I'm curious what your textbook, if any, says about it. Keeping in mind, of course, that you cannot always trust the textbook in such courses. I have taught linear algebra from a horrible textbook that our department has standardized as its required text. At one point in the text, the authors state t...
by kgrizzly
Wed Sep 24, 2008 9:29 pm UTC
Forum: Mathematics
Topic: Question about Infinity
Replies: 72
Views: 5407

Re: Question about Infinity

[ There seems to be some confusion with the two meanings of the word "dense". Definition 1 : Suppose X is a topological space, and A is a subset of X . Then A is dense in X if the closure of A is X . Definition 2 : Suppose Y is a linearly ordered set. Then Y is dense (as a linear order). ...
by kgrizzly
Wed Sep 24, 2008 9:16 pm UTC
Forum: Mathematics
Topic: Very simple limit question
Replies: 20
Views: 2492

Re: Very simple limit question

Limits at a point require that an open ball (in the underlying space) about the point satisfy the epsilon/delta statement. When we have to restrict to the to the subspace topology (domain of f /subset R ) in order to find an open ball [0,a) about the point 0 we in fact are finding a "one-sided...
by kgrizzly
Sun Sep 21, 2008 3:51 am UTC
Forum: Mathematics
Topic: Math undergrad
Replies: 10
Views: 2064

Re: Math undergrad

I think all the other posters have valid points and good advice, I would not contradict them. I'll throw in a few more thoughts, in no particular order. If I catch your drift, you are seriously leaning towards (if not already decided on) attending grad school, and you want to know how to best prepar...
by kgrizzly
Mon Sep 15, 2008 9:55 pm UTC
Forum: Mathematics
Topic: Mathematics and Beauty
Replies: 42
Views: 5639

Re: Mathematics and Beauty

Shadowfish wrote:I'm a fan of the proof that the reals are uncountable.


There are several such proofs. Which do you like best?

Cantor's "diagonal" argument is perhaps the most celebrated, but it's not my favorite. De gustibus non est disputandum.
by kgrizzly
Fri Sep 05, 2008 11:17 pm UTC
Forum: Mathematics
Topic: Graduate school!
Replies: 10
Views: 2006

Re: Graduate school!

I agree with gorcee and others. There is no single ranking that captures everything you would want to know about a school. The phD.org site is a nice tool for beginning your explorations and it illustrates a variety of parameters that might be of interest to a grad student. A worthy essay regarding ...
by kgrizzly
Fri Sep 05, 2008 4:41 am UTC
Forum: Mathematics
Topic: Graduate school!
Replies: 10
Views: 2006

Re: Graduate school!

As Buttons said, a score of 75 is plenty good for many schools, even very good schools. However, UC Berkeley is not one of them. When I spoke to the graduate program director there in 2004, and asked him what he would first tell me about the program, the very first thing he told me is how much they ...
by kgrizzly
Mon Sep 01, 2008 10:23 pm UTC
Forum: Mathematics
Topic: Counting choice functions
Replies: 3
Views: 1073

Re: Counting choice functions

I would need more detail to fully understand what you are looking for. Could you give a small example?
by kgrizzly
Mon Aug 25, 2008 4:19 am UTC
Forum: Mathematics
Topic: How to: Graph Theory in Latex?
Replies: 8
Views: 5441

Re: How to: Graph Theory in Latex?

I use XY-pic fairly often. It is very nice for a lot of diagramming, and for simpler graphs. And it is not that hard to get started using it. Like any powerful package, it can get complicated when you are trying to complicated things, but the basics are pretty easy. It might not be the best choice f...
by kgrizzly
Mon Aug 11, 2008 8:25 pm UTC
Forum: Mathematics
Topic: Find the 6th number
Replies: 60
Views: 9426

Re: Find the 6th number

Where do you think mathematicians get ideas about which theorems to try to prove? Do they pick something completely random from theoryspace? No, of course not. They see a pattern somewhere and think "hey, what if this is really a pattern" (well, that's one way). Figuring out which elegant...
by kgrizzly
Mon Aug 11, 2008 12:32 am UTC
Forum: Mathematics
Topic: Algebra and Non-Real Sets
Replies: 8
Views: 1612

Re: Algebra and Non-Real Sets

Topology does indeed generalize the notion of continuity, and can be considered as the study of continuity. But I don't think that alone is enough for most of us to think of it as "calculus". A part of what would be needed for one approach to calculus, certainly, but not the whole enchilad...
by kgrizzly
Sun Aug 10, 2008 4:55 am UTC
Forum: Mathematics
Topic: Recommend me something interesting to study
Replies: 3
Views: 1048

Re: Recommend me something interesting to study

I seem to gravitate towards the theoretical subjects. Computations generally either bore me or annoy me, though I did enjoy coming up with the combinatoric equations. So based on that, can you recommend me something (preferably with a good book to go with it)? "Theoretical" covers a lot o...
by kgrizzly
Sat Aug 09, 2008 8:21 pm UTC
Forum: Mathematics
Topic: How do these punks do it?
Replies: 62
Views: 7602

Re: How do these punks do it?

There must be a thousand texts on linear algebra, and even among the non-crappy ones there is a wide variety, some of which will appeal to you more than others all depending on your particular tastes. Of the ones that I have personal knowledge of, I really like Serge Lang's "Linear Algebra"...
by kgrizzly
Sat Aug 09, 2008 11:19 am UTC
Forum: Mathematics
Topic: Math Research
Replies: 12
Views: 2273

Re: Math Research

My own field is algebraic combinatorics, where some of the hot topics are symmetric functions, Macdonald polynomials (both symetric and non-symmetric) and their cousins, Coxeter Systems and Kashdan-Lustig polynomials, etc. Combinatorics more broadly is a big area. I'm aware of a lot of activity in g...
by kgrizzly
Sat Aug 09, 2008 10:52 am UTC
Forum: Mathematics
Topic: What direction am I heading as an undergraduate?
Replies: 8
Views: 1450

Re: What direction am I heading as an undergraduate?

Egotistical? Pretentious? Perhaps. I don't really know you. But I see no reason to assume so. I'm in agreement with Harg. The lower division math classes, especially what I think of as the "commodity courses", whose main consumers are engineers and scientists, will tend emphasize computati...

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