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You are not logged in. #651 20120411 16:46:00
Re: Oh,Oh,Oh,merry analysis!!!They will all be continued in the computer math thread. 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. #652 20120411 17:16:00
Re: Oh,Oh,Oh,merry analysis!!!Yes,I saw that. What will we do here then? 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 #653 20120411 17:23:50
Re: Oh,Oh,Oh,merry analysis!!!I think there are many outstanding problems in this thread. 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. #654 20120411 17:26:08
Re: Oh,Oh,Oh,merry analysis!!!Like 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 #655 20120411 17:34:15
Re: Oh,Oh,Oh,merry analysis!!!Post #401 for instance. 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. #656 20120411 17:39:19
Re: Oh,Oh,Oh,merry analysis!!!Axam,ok. I will try that as soon as I can. 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 #657 20120411 17:43:27
Re: Oh,Oh,Oh,merry analysis!!!Okay, let me know if you get stuck. 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. #658 20120704 13:18:35
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 #659 20120704 18:18:07
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. #660 20120704 22:43:48
Re: Oh,Oh,Oh,merry analysis!!!Can you construct such algorithms? 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 #661 20120704 22:58:43
Re: Oh,Oh,Oh,merry analysis!!!O(sin(n))? What is that? 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. #662 20120704 22:59:31
Re: Oh,Oh,Oh,merry analysis!!!Maybe a better one would be O(abs(sin(x))). 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 #663 20120704 23:11:25
Re: Oh,Oh,Oh,merry analysis!!!Why would we not just pick the maximum value and say O(1)? 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. #664 20120704 23:27:43
Re: Oh,Oh,Oh,merry analysis!!!Because it is faster than O(1). 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 #665 20120704 23:37:08
Re: Oh,Oh,Oh,merry analysis!!!sin(n) can take any value between 0 and 1. Isn't that less than some constant? Isn't that constant 1? 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. #666 20120704 23:54:17
Re: Oh,Oh,Oh,merry analysis!!!Yes. But that doesn't give us an algorithm with complexity sin(n). 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 #667 20120704 23:57:34
Re: Oh,Oh,Oh,merry analysis!!!What I am saying is I do not know what that means. I know what O(n) means and O(n^2) but what does O(sin(n)) mean for an algorithm? 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. #668 20120704 23:59:23
Re: Oh,Oh,Oh,merry analysis!!!It could mean that the number of operations oscilates as the largeness of input goes up. 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 #669 20120705 00:05:53
Re: Oh,Oh,Oh,merry analysis!!!Personally, I have never seen that. I am not an expert on Landau notation. Have you? 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. #670 20120705 00:33:34
Re: Oh,Oh,Oh,merry analysis!!!No. I thought maybe you would know. 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 #671 20120705 00:41:18
Re: Oh,Oh,Oh,merry analysis!!!Remember the chart they give you on the various Big(O)'s? That is about all I can deal with. 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. #672 20120705 00:43:44
Re: Oh,Oh,Oh,merry analysis!!!So nothing on sin and cos. What about the other two? 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 #673 20120705 00:50:11
Re: Oh,Oh,Oh,merry analysis!!!O(n!^(n!)), are you serious? If you wrote an algorithm that was that bad you would never work again. 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. #674 20120705 00:52:28
Re: Oh,Oh,Oh,merry analysis!!!Well there is always worse. O(n^^^n), using Knuth's up arrow notation 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 #675 20120705 01:06:47
Re: Oh,Oh,Oh,merry analysis!!!True. No computer could run such an algorithm. 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. 