Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #51 20120219 07:30:03
Re: @MIF , Activity:Drawing squaresWell, I do not see 30 squares. These √ 3 squares are beyond my visual acuity. I am writing a little program to do this for me. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #52 20120219 08:08:47
Re: @MIF , Activity:Drawing squaresok.but i still want to know what the conclusion is. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #53 20120219 08:40:24
Re: @MIF , Activity:Drawing squaresWhere r is the number of rows and c is the number of columns. r ≤ c In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #54 20120219 08:46:20
Re: @MIF , Activity:Drawing squareshi bobbym The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #55 20120219 08:48:27
Re: @MIF , Activity:Drawing squaresI will tell you why you should never do that lightly. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #56 20120219 08:51:22
Re: @MIF , Activity:Drawing squareswhy?and do what? The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #57 20120219 08:52:28
Re: @MIF , Activity:Drawing squaresSimplifcation, which is drummed into school kids is sometimes an error! In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #58 20120219 08:54:18
Re: @MIF , Activity:Drawing squareshi bobbym The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #59 20120219 08:56:55
Re: @MIF , Activity:Drawing squaresEven there it might be more useful to think of it in the supposed long form. You could use Stirling's formula on those binomials and go a little further than before perhaps. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #60 20120219 08:58:06
Re: @MIF , Activity:Drawing squareshi bobbym The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #61 20120219 09:02:32
Re: @MIF , Activity:Drawing squaresThe first one is what is considered mandatory, simplify everything! But it hides the structure of the problem. It is hard to see what combinatorics is involved. The second shows a pattern and might even suggest a starting point for more dimensions or different shapes. There is a really funny example from an Adrian Oldknow book that demonstrates that stereotyped thinking in math can lead to disaster. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #62 20120219 09:11:53
Re: @MIF , Activity:Drawing squareshi bobbym The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #63 20120219 09:13:09
Re: @MIF , Activity:Drawing squaresI know but you must be careful there too remember? In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #64 20120219 09:16:29
Re: @MIF , Activity:Drawing squareshow is that possible? The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #65 20120219 09:17:49
Re: @MIF , Activity:Drawing squaresWe did not get into it because you were not ready. The computation you speak of is a very tricky beast. Often in Numerical analysis you antisimplify because it is superior. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #66 20120219 09:21:55
Re: @MIF , Activity:Drawing squareshi bobbym The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #67 20120219 09:24:10
Re: @MIF , Activity:Drawing squaresI know, that is what they say. I just mention it so you will be prepared when that comes up. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #68 20120219 09:27:10
Re: @MIF , Activity:Drawing squaresok,thanks! The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #69 20120219 09:30:48
Re: @MIF , Activity:Drawing squaresEver heard of Adrian Oldknow or his book? In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #70 20120219 09:33:01
Re: @MIF , Activity:Drawing squaresnope.who's that guy? The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #71 20120219 09:36:16
Re: @MIF , Activity:Drawing squaresA guy who wrote a nice book on using microcomputers and doing mathematics. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #72 20120219 09:41:38
Re: @MIF , Activity:Drawing squaresk,what about him? The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #73 20120219 09:43:49
Re: @MIF , Activity:Drawing squaresIt was just a nice book to read. It showed me that there were alternate ways to do math problems. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #74 20120220 01:47:16
Re: @MIF , Activity:Drawing squareswhat alternative ways? The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #75 20120220 01:51:57
Re: @MIF , Activity:Drawing squaresToo much to detail, maxima and minima for one. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. 