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You are not logged in. #151 20120128 01:41:49
Re: Oh,Oh,Oh,merry analysis!!!Hi anonimnystefy; 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. #152 20120212 01:56:40
Re: Oh,Oh,Oh,merry analysis!!!i found that it's y=cosh(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 #153 20120212 05:30:49
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. #154 20120212 05:42:14
Re: Oh,Oh,Oh,merry analysis!!!it's x+x^3/3!+x^5/5!+... 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 #155 20120212 05:47:59
Re: Oh,Oh,Oh,merry analysis!!!That is not correct. 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. #156 20120212 06:09:29
Re: Oh,Oh,Oh,merry analysis!!!sry.copied the wrong series. 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 #157 20120212 06:11:02
Re: Oh,Oh,Oh,merry analysis!!!Hi
Now what can you say about that? Be right back! 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. #158 20120212 06:20:35
Re: Oh,Oh,Oh,merry analysis!!!don't now. 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 #159 20120212 06:21:45
Re: Oh,Oh,Oh,merry analysis!!!Look at the first two terms of the Mclaurin series, what do you see? 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. #160 20120212 06:24:20
Re: Oh,Oh,Oh,merry analysis!!!x^2/2 +1,which is a parabola. 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 #161 20120212 06:27:20
Re: Oh,Oh,Oh,merry analysis!!!That is correct! Since that series is an approximation of cosh(x) anywhere we truncate it, is also an approximation. The further we go the better we expect to do. Now you see why Galilieo was fooled into thinking the catenary was a parabola. 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. #162 20120212 06:47:00
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 #163 20120212 06:51:49
Re: Oh,Oh,Oh,merry analysis!!!Yes, that is true for that particular series.You can get around that and we are just trying to demonstrate that a parabola is a good approximation. We do not need a high precision 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. #164 20120212 06:52:28
Re: Oh,Oh,Oh,merry analysis!!!yup. 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 #165 20120212 06:53:34
Re: Oh,Oh,Oh,merry analysis!!!Hold it! You did not provide any indication that it is so. 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. #166 20120212 06:58:17
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 #167 20120212 06:59:53
Re: Oh,Oh,Oh,merry analysis!!!Yes, but that is only the expansion around zero. It is not the series that we want at 5 for an example. 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. #168 20120212 07:04:06
Re: Oh,Oh,Oh,merry analysis!!!maybe we could take the taylor's series expansion arounf 5 or a in a general case. 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 #169 20120212 07:10:49
Re: Oh,Oh,Oh,merry analysis!!!Exact a Mundo! We can expand around c. Now since cosh(c) and sinh(c) are constants we can substitute. a = cosh(c) and b = sinh(c). Truncating at x^2 we get: which again means for any value of x it can be approximated by a quadratic. This is not exactly true in a rigorous sense but for the purposes of your question we will allow 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. #170 20120212 07:13:15
Re: Oh,Oh,Oh,merry analysis!!!nice! 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 #171 20120212 07:14:17
Re: Oh,Oh,Oh,merry analysis!!!What next? You are done for now! 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. #172 20120212 07:15:09
Re: Oh,Oh,Oh,merry analysis!!!next question?i'm not done. 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 #173 20120212 07:17:01
Re: Oh,Oh,Oh,merry analysis!!!It will take me some time to think of one. I think the other question you have in the other will be a good source of more questions. 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. #174 20120212 07:19:59
Re: Oh,Oh,Oh,merry analysis!!!ok,but i will need help with it.that's of course assuming that you mean the one with the squares and stuff. 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 #175 20120212 07:22:14
Re: Oh,Oh,Oh,merry analysis!!!I disagree, you can do it all by yourself. I do not know the answer right now either. 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. 