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

You are not logged in. #201 20120213 08:18:21
Re: Oh,Oh,Oh,merry analysis!!!Hi; 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. #202 20120213 08:22:00
Re: Oh,Oh,Oh,merry analysis!!!@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 #203 20120213 08:26:10
Re: Oh,Oh,Oh,merry analysis!!!That will be very difficult without background material. That means some numerical analysis. The Horner problem is designed to get your feet wet so to speak. 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. #204 20120213 08:58:43
Re: Oh,Oh,Oh,merry analysis!!!well if the water is cold,wouldn't i after that get cold feet xD 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 #205 20120213 09:04:19
Re: Oh,Oh,Oh,merry analysis!!!You have been doing some. 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. #206 20120213 09:05:58
Re: Oh,Oh,Oh,merry analysis!!!i want more!!! 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 #207 20120213 09:09:55
Re: Oh,Oh,Oh,merry analysis!!!For instance the problem of factoring a 200 digit number into prime factors is feasible. It cabn be done in a reasonable amount of time. The problem of factoring a 1000 digit number is currently infeasible. Even though there is a simple algorithm to do this. 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. #208 20120213 09:20:34
Re: Oh,Oh,Oh,merry analysis!!!so? 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 #209 20120213 09:28:06
Re: Oh,Oh,Oh,merry analysis!!!They are coming. One simple way to know whether one algorithm is better than another is by counting the number of operations it requires. Which algorithm is superior for evaluating f(3) and why? 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. #210 20120213 09:30:20
Re: Oh,Oh,Oh,merry analysis!!!hi 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 #211 20120213 09:31:14
Re: Oh,Oh,Oh,merry analysis!!!That is close to the correct answer. Can you trim both algorithms down? 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. #212 20120213 09:51:35
Re: Oh,Oh,Oh,merry analysis!!!how? 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 #213 20120213 09:56:30
Re: Oh,Oh,Oh,merry analysis!!!I will show you for the standard algorithm on the left. 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. #214 20120213 09:59:39
Re: Oh,Oh,Oh,merry analysis!!!oh,so only multiplication?i thought there should be addition too. 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 #215 20120213 10:00:58
Re: Oh,Oh,Oh,merry analysis!!!Multiplication is O(n^2) while addition is O(n). O(n^2 + n) = n^2 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. #216 20120213 10:02:43
Re: Oh,Oh,Oh,merry analysis!!!oooooh,ok.nice to know that. 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 #217 20120213 10:05:14
Re: Oh,Oh,Oh,merry analysis!!!When you do 3 x 3 digit multiplication it takes 9 individual multiplications using the school method. When you double the size of the numbers 6 x 6 takes 36 multiplications. The amount of multiplications went up by 2^2 and not by 2. Multiplication is an n^2 operation. 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. #218 20120213 10:07:16
Re: Oh,Oh,Oh,merry analysis!!!@bobbym .' don't you think i knew that? 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 #219 20120213 10:08:43
Re: Oh,Oh,Oh,merry analysis!!!Hmmm, yes. But applying mathematics and knowing it are not the same things. You did include additions when you should not have. 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. #220 20120213 10:18:01
Re: Oh,Oh,Oh,merry analysis!!!ok. 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 #221 20120213 10:19:39
Re: Oh,Oh,Oh,merry analysis!!!Correct! Now you see that the algorithm on the left is almost twice as slow. Not a small improvement. Also, it is less numerically stable. 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. #222 20120213 10:20:14
Re: Oh,Oh,Oh,merry analysis!!!ok.next? 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 #223 20120213 10:24:17
Re: Oh,Oh,Oh,merry analysis!!!Do you know there are much better ways to multiply large numbers than the ones we were taught in school? 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. #224 20120213 10:25:52
Re: Oh,Oh,Oh,merry analysis!!!which ones? 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 #225 20120213 10:27:53
Re: Oh,Oh,Oh,merry analysis!!!There are two well known ones. One was invented by Katerina Karatsuba and the other is call FFT. They are not O(n) but they are less than O(n^2). 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. 