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You are not logged in. #1 20120424 17:31:50
Accurate calculationsHi; It obvious that both square roots are going to be nearly equal and therefore that subtraction will cause much subtractive cancellation. This will cause the loss of significant digits and indeed many calculators will return 0. The Taylor series is the main tool of numerical work. It comes to the rescue here too! If we expand the following around 0 in terms of epsilon we get: we can reaarange this to, This is exactly what we need, we call x = 3 and epsilon = .000 000 000 000 000 1 We can truncate 2) to now just plug in: Which is quite accurate for only 2 terms of a taylor series. 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. #2 20120424 18:11:55
Re: Accurate calculationsHi 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 #3 20120424 18:13:03
Re: Accurate calculationsDid you try it and see if it got the right answer? 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. #4 20120424 18:19:44
Re: Accurate calculationshttp://www.wolframalpha.com/input/?i=x% … 0000000001 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 #5 20120424 18:22:32
Re: Accurate calculationsBefore I can comment on anything I ask, why are you using Wolfram when you have mathematica? 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. #6 20120424 18:30:11
Re: Accurate calculationsI don't know.It makes my computer slow. Last edited by anonimnystefy (20120424 18:30:27) 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 #7 20120424 18:31:27
Re: Accurate calculationsEven when it is off?! 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. #8 20120424 18:32:19
Re: Accurate calculationsNo,when it is open.I haven't deleted it! 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 #9 20120424 18:36:46
Re: Accurate calculationsSo then shut it down when you are finished with it. 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. #10 20120424 18:42:27
Re: Accurate calculationsI have opened Mathematica and entered: 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 #11 20120424 18:43:27
Re: Accurate calculationsThat is the problem! That code is for Alpha. They are not the same! 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. #12 20120424 18:45:35
Re: Accurate calculationsI even tried setting x=... before it.It doesn't give me more digits.How do I enter the code so that I get more digits? 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 #13 20120424 18:48:21
Re: Accurate calculationsYou are not listening. Mathematica and alpha are very different. 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. #14 20120424 18:57:20
Re: Accurate calculationsCan't you show me what to do in Mathematica?I want to learn Mathematica language and functions. 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 #15 20120424 19:01:55
Re: Accurate calculationsYou use Mathematica functions for alpha too! 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. #16 20120424 19:07:54
Re: Accurate calculationsIt still gives me 2.88675*10^17 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 #17 20120424 19:12:19
Re: Accurate calculationsYour display digits is set too low. 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. #18 20120424 19:14:11
Re: Accurate calculationsHow do I change 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 #19 20120424 19:18:29
Re: Accurate calculationsTry this first, Edit then Preferences then Appearance then Numbers. Tell me when you are there. 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. #20 20120424 19:23:58
Re: Accurate calculationsActually,I found it,and I set 100,and it gives me this output: 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 #21 20120424 19:26:18
Re: Accurate calculations100 is too large. Set it to 16 and then calculate Sqrt[2.], what do you get? 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. #22 20120424 19:30:50
Re: Accurate calculations1.414213562373095 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 #23 20120424 19:33:23
Re: Accurate calculationsThen it is working correct. Go into preferences and get to internet connectivity. Uncheck allow mathematica to access the internet. 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. #24 20120424 19:38:40
Re: Accurate calculationsWhy? 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 #25 20120424 19:42:25
Re: Accurate calculationsShutting off the internet to mathematica might speed up the machine greatly. If you want to communicate with alpha use your browser. 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. 