*The author shows that a square inscribed in a semicircle has \(2/5\) the area of a square inscribed in a circle of the same radius.*

You can filter the list below by selecting a subject category from the drop-down list below, for example by selecting 'One-Variable Calculus'. Then click the **'APPLY'** button directly, or select a subcategory to further refine your results.

Displaying 1071 - 1080 of 1212

*A combinatorial proof of the sum of the cubes of the first \(n\) integers is presented, by counting edges in complete bipartite graphs.*

*Arguments for certain sums of sines and cosines are given.*

*This article gives an explanation why the solution to a number partitioning problem would be \(3\). The answer is that \(3\) is close to \(e\).*

*Cramer's Rule gives an explicit formulation for the unique solution to a system of \(n\) equations in \(n\) unknowns when the coefficient matrix of the system is invertible. The...*