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Browse Classroom Capsules and Notes

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Displaying 101 - 110 of 1213

This article describes and encryption algorithm that can be used to transmit information between two parties such that each person can verify the other person's information.

This article uses a generalization of a three-way gunfight to motivate the construction and solution to a first order linear system of difference equations.  The method of undetermined...

The author presents a visual proof of the formula for the sum of the first n consecutive products: \(1 \times 2 + 2 \times 3 + 3 \times 4 +\ldots + n \times (n+1)\).

How can we define multiplication of ordered pairs of real numbers to make \(\Re^2\) into a ring, or field? In this article, the author derives conditions for certain types of rings and extends...

The author proposes a visualization of the number \(e\) related to area of subsections of a ''tentagram''.

A generalization of the Mean Value Theorem for Integrals in terms of Riemann sums

A discussion of the overhand card shuffle using algebra

The author presents a visual proof of the formula for the sum of the first n consecutive products: \(1 \times 2 + 2 \times 3 + 3 \times 4 + ... + n \times (n+1)\).

The article describes how to find polynomials whose roots are given powers of the roots of an original polynomial.

The Pythagorean theorem is proved geometrically in yet another way.

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