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You are not logged in. #151 20130728 18:08:10
Re: An Integral and the ComputerTo answer that we would need to cover the derivation of the error formula. That would require the Euler Mclaurin summation formula which would lead us on another discussion and is difficult. 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 20130728 18:27:09
Re: An Integral and the Computer
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #153 20130728 18:30:25
Re: An Integral and the ComputerWho said that fellow could do 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. #154 20130728 18:34:35
Re: An Integral and the Computer
Never mind, I think I will live long enough to get that proof. For now, tell me how to use it. 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #155 20130728 18:40:19
Re: An Integral and the ComputerI will cover a proof out of the book "Numerical Analysis" as soon as we do 2 examples. 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 20130728 18:41:28
Re: An Integral and the Computeryes! 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #157 20130728 18:47:26
Re: An Integral and the ComputerAnd what is that value? Remember it is an absolute value. 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 20130729 00:26:02#159 20130729 00:41:49
Re: An Integral and the ComputerHi; 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 20130729 00:45:53
Re: An Integral and the Computer100 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #161 20130729 00:51:59
Re: An Integral and the ComputerVery good! Now we will just fill in the formula: Let's pick n = 15. The error is expected to be smaller or equal to .0228463. 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 20130730 00:49:30
Re: An Integral and the ComputerOk got it. Thanks 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #163 20130730 02:43:41
Re: An Integral and the ComputerHi Agnishom; 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 20130730 11:52:17
Re: An Integral and the ComputerFor example? 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #165 20130730 13:32:27
Re: An Integral and the ComputerSupposing you had this integral instead: What do you get from a trapezoidal rule with 5 panels? 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 20130730 23:42:38
Re: An Integral and the ComputerIs it 0.3214? 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #167 20130731 01:16:22
Re: An Integral and the ComputerHi; 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 20130731 01:34:37
Re: An Integral and the ComputerYes, I figured that those digits are not correct, so I truncated them 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #169 20130731 01:59:45
Re: An Integral and the ComputerThis is the second derivative. We see that the maximum occurs at x = 1 and is about .25. Do you agree? 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 20130731 11:58:18
Re: An Integral and the ComputerHmm... shouldn't that be 0? 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #171 20130731 16:02:43
Re: An Integral and the ComputerThe integral is being evaluated in the interval 1 to 1.3 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 20130731 22:34:38
Re: An Integral and the Computer0.000375 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #173 20130731 22:58:33
Re: An Integral and the ComputerI am getting error = 0.00075 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 20130803 23:56:06
Re: An Integral and the ComputerOk 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #175 20130804 00:00:20
Re: An Integral and the ComputerDid you get all 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. 