# Browse Classroom Capsules and Notes

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Displaying 1091 - 1100 of 1212

The author describes a convenient method for calculating determinants where all entries on a given diagonal are equal and for some more general situations.

A proof without words approach to the geometric-arithmetic mean inequality

The author uses Minkowski sums to estimate the length of the perimeter of an ellipse.

The article demonstrates that four inequalities can be derived from each other.

The author calculates the area under an arc of a generalized polygonal cycloid.
The authors use a popular TV show to demonstrate probability theory.

Many calculations in number theory have different rules for different residue class mod an integer $r$. The author shows how to combine these cases using a single amalgamated formula....

The author generalizes the test of convergence for the series involving iterated logarithms from base $e$ to any positive base.

The author uses the Stolz-Cesàro theorem to compute the sums of the integer powers.

Synthetic division is generalized from linear divisors to general polynomial divisors.