*The following is a short, simple, but not well-known proof of the well-known trigonometric identify \(\sin(a+b) = \sin a \cos b + \cos a \sin b\).*

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Displaying 91 - 100 of 1214

*The range of validity of the inequality for various values of \(n\)*

*In his work* On the Sphere and the Cylinder, *Archimedes showed that the volume of the sphere is exactly two thirds of the volume of the circumscribed cylinder. This article explores...*

*The importance of round-off errors, ill-conditioned systems, and interval analysis in the context of baseball statistics*

*Calculation of the minimum distance from a point to a curve*

The author shows that the system characterized by

\(x(t) = a_1 t^2 + b_1 t + c_1\)

\(y(t) = a_2 t^2 + b_2 t + c_2 \)

\(z(t) = a_3 t^2 + b_3 t + c_3\)

must lie in a...

*Projectile motion on large and small scales in the context of problems from sports*

*The Method of Undetermined Coefficients is approached by using linear operators and making use of patterns associated with matrix multiplication. The authors discuss several pedagogical...*

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