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Table of dihedral group D4
Let G be the group {e,a,b,b$^{2}$,b$^{3}$,ab,ab$^{2}$,ab$^{3}$} whose generators satisfy a$^{2}$=e,b$^{4}$=e, ba=ab$^{3}$. Write the table of G. (G is cal...
Apr 18, 2026
Archive: News
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Simplifying a simple Summation
Here is a series: S = { $0,1,1,2,2,3,3 ...$} To find out sum of $1st$ n terms, expression is: $$ S = \sum_{k=1}^{n}\left\lfloor\frac{k}{2}\right\rfloor $$...
Apr 18, 2026
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Unusual mathematical terms
From time to time, I come across some unusual mathematical terms. I know something about strange attractors. I also know what Witch of Agnesi is. However,...
Apr 18, 2026
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Evaluating integral of sinx d(cosx) from pi/2 to 0 and its geometric interpretation?
I'm a first-year calculus student but love messing around with the concepts, even though I'm not quite understanding them. I initially thought t...
Apr 18, 2026
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Solving Trig Equation with Unknown Inside and Outside of Function
In my physics course, we're covering physical pendulums, and we are to essentially analyze the range of angles within the interval $\left[0, \frac{\p...
Apr 18, 2026
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Nets of Geodesic spheres
I would realize the papercraft of a geodesic sphere like this: It is the dual of the one discussed in THIS OTHER QUESTION . Where can I find the printable...
Apr 18, 2026
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Is there any term for 2 straight-lines not touching yet not equidistant?
In basic school mathematics, I was taught that a pair of straight lines could be either parallel (maintain the same distance between each other ie. Not cr...
Apr 18, 2026
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What is a supremum?
I'm reading here about sequence of functions in Calculus II book, and there's a theorem that says: A sequence of functions $\{f_n(x)\}_0^\infty$...
Apr 18, 2026
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How to solve for a non-factorable cubic equation?
I want to know how one would go about solving an unfactorable cubic. I know how to factor cubics to solve them, but I do not know what to do if I cannot f...
Apr 18, 2026
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Dividing logs with same base
Problem $\dfrac{\log125}{\log25} = 1.5$ From my understanding, if two logs have the same base in a division, then the constants can simply be divided i.e ...
Apr 18, 2026
