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

You are not logged in. #76 20130725 03:16:04
Re: An Integral and the ComputerGood point, yours does seem to converge faster than the normal trapezoid rule. 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. #77 20130725 03:19:51
Re: An Integral and the ComputerHmm.... You mean to say that I've made a difference from the standard trapezoidal rule. But where, how?? '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 #78 20130725 03:23:00
Re: An Integral and the ComputerThe next person does not. There are so many variations of each method that it is impossible for me to say. 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. #79 20130725 12:09:02
Re: An Integral and the ComputerWill you please answer a question? '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 #80 20130725 13:02:12
Re: An Integral and the ComputerSorry, I found the problem when I began to think that yours was correct and maybe mine was not, instead of the other way around. 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. #81 20130725 14:34:59
Re: An Integral and the ComputerMay I see your program? '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 #82 20130725 17:43:18
Re: An Integral and the ComputerHi; Code:f[x_] := Cos[x]^100; a = 0; b = π/4 // N; n = 10; h = (b  a)/n; s = 0; For[k = 1, k < n, k++, s += f[a + k*h]] h*((f[a] + f[b])/2 + s) 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. #83 20130725 22:26:55
Re: An Integral and the ComputerWhere is your subtle error? '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 #84 20130725 22:30:46
Re: An Integral and the ComputerIt was in the M code, not in 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. #85 20130725 22:47:54
Re: An Integral and the ComputerWhy does my progrAm give the following? '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 #86 20130725 22:51:13
Re: An Integral and the ComputerThat is what you are supposed to 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. #87 20130725 23:05:09
Re: An Integral and the ComputerWhy? '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 #88 20130725 23:08:16
Re: An Integral and the ComputerThe true value of the integral is 10000000, so your answer of 1000000000.75 is relatively close. Remember numerical integration by trapezoidal rule is an approximate method although it will be exact for 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. #89 20130725 23:58:17
Re: An Integral and the ComputerIt is extremely close but is that an error? '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 #90 20130726 00:02:57
Re: An Integral and the ComputerNo, that is what is expected. 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. #91 20130726 00:05:13
Re: An Integral and the ComputerWhat do I do to get a precision of up to three digits after decimal? '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 #92 20130726 00:06:20
Re: An Integral and the ComputerFor that problem? Because it is a large number it will require a lot of trapezoids. 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. #93 20130726 00:18:40
Re: An Integral and the ComputerOh. '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 #94 20130726 00:19:38
Re: An Integral and the ComputerThe Simpson rule puts arcs that are quadratics on top instead of triangles. 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. #95 20130726 00:30:54
Re: An Integral and the Computerreally? How? '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 #96 20130726 00:32:24
Re: An Integral and the ComputerThe trapezoid rule fits two points on top with a straight line, the simpsons takes three points and fits a quadratic on top. 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. #97 20130726 00:40:17
Re: An Integral and the ComputerHow to do that? I think it is amazing '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 #98 20130726 00:40:56
Re: An Integral and the ComputerWe will go over it as the next one. Can it wait till tomorrow? 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. #99 20130726 00:44:54
Re: An Integral and the ComputerYes, happily. But my tomorrow and yours have a difference. I would like to know how many seconds? '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 #100 20130726 00:46:22
Re: An Integral and the ComputerIt is night there. You will sleep soon. When you awaken we will start. 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. 