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If I take a regular tetrahedron and draw segments from each of the vertices to the center, what's the angle between two of those segments? -- 75.60.13.19 ( talk) 00:54, 6 January 2011 (UTC)
By symmetry, the average of the three vectors is zero; hence the sum of the three is zero; hence the sum of their x-coordinates is zero if one of them points in the direction of the x-axis. Again by symmetry, the x-coordinates of the other three are equal to each other. Since the one pointing in the axis diretion is 1, the others must each be −1/3. Hence the angle is arccos (−1/3). Michael Hardy ( talk) 02:49, 11 January 2011 (UTC)
What books would you recommend for learning the general techniques of mathematical proofs? 74.14.111.188 ( talk) 07:17, 6 January 2011 (UTC)
I think there's one by Daniel Velleman. And some others...... Michael Hardy ( talk) 02:46, 11 January 2011 (UTC)
I need to find out when the sites listed below first established a website/page on the internet. Thanks
Taylor & Francis Group: an informa business - http://www.taylorandfrancisgroup.com/
Association for Childhood Education International - http://acei.org/
National Council of Teachers of Mathematics - http://www.nctm.org/
National Association for the Education of Young Children - http://www.naeyc.org/yc/
If the Taylor series becomes arbitrarily close to the original function for all analytic functions (in other words, all function that we are normally interested in), what is the purpose of the remainder function? 24.92.70.160 ( talk) 21:34, 6 January 2011 (UTC)
Can someone suggest a good LaTeX writing program for Windows. I mean a program where I type the code and it compiles it, turns it into .dvi, .ps or .pdf. I use Kile on Linux but it needs some fiddling with to run on Windows and I don't know how. A nice user friendly interface would be perfect, with some symbol buttons that substitute the LaTeX code when you click them, etc. — Fly by Night ( talk) 22:25, 6 January 2011 (UTC)
Thanks for all the suggestions. I went for TeXnixCenter in the end. — Fly by Night ( talk) 12:54, 7 January 2011 (UTC)
Mathematics desk | ||
---|---|---|
< January 5 | << Dec | January | Feb >> | January 7 > |
Welcome to the Wikipedia Mathematics Reference Desk Archives |
---|
The page you are currently viewing is an archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages. |
If I take a regular tetrahedron and draw segments from each of the vertices to the center, what's the angle between two of those segments? -- 75.60.13.19 ( talk) 00:54, 6 January 2011 (UTC)
By symmetry, the average of the three vectors is zero; hence the sum of the three is zero; hence the sum of their x-coordinates is zero if one of them points in the direction of the x-axis. Again by symmetry, the x-coordinates of the other three are equal to each other. Since the one pointing in the axis diretion is 1, the others must each be −1/3. Hence the angle is arccos (−1/3). Michael Hardy ( talk) 02:49, 11 January 2011 (UTC)
What books would you recommend for learning the general techniques of mathematical proofs? 74.14.111.188 ( talk) 07:17, 6 January 2011 (UTC)
I think there's one by Daniel Velleman. And some others...... Michael Hardy ( talk) 02:46, 11 January 2011 (UTC)
I need to find out when the sites listed below first established a website/page on the internet. Thanks
Taylor & Francis Group: an informa business - http://www.taylorandfrancisgroup.com/
Association for Childhood Education International - http://acei.org/
National Council of Teachers of Mathematics - http://www.nctm.org/
National Association for the Education of Young Children - http://www.naeyc.org/yc/
If the Taylor series becomes arbitrarily close to the original function for all analytic functions (in other words, all function that we are normally interested in), what is the purpose of the remainder function? 24.92.70.160 ( talk) 21:34, 6 January 2011 (UTC)
Can someone suggest a good LaTeX writing program for Windows. I mean a program where I type the code and it compiles it, turns it into .dvi, .ps or .pdf. I use Kile on Linux but it needs some fiddling with to run on Windows and I don't know how. A nice user friendly interface would be perfect, with some symbol buttons that substitute the LaTeX code when you click them, etc. — Fly by Night ( talk) 22:25, 6 January 2011 (UTC)
Thanks for all the suggestions. I went for TeXnixCenter in the end. — Fly by Night ( talk) 12:54, 7 January 2011 (UTC)