*Relations between Romeo and Juliet presented as pairs of coupled differential equations*

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Displaying 21 - 30 of 1135

*Relations between Romeo and Juliet presented as pairs of coupled differential equations*

*The author presents a visual proof of the closed form of a recursively defined sequence: \(a_2 = 3\) and \(a_n = 2 a_{n-1} + 1\)*

*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 poses a generalization of a three-way gunfight and analyzes the problem using Markov chains.*

*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: \(1 \times 2 + 2 \times 3 + 3 \times 4 + ... + n \times (n+1)\).*