We produce an alternate proof of the extended binomial theorem by solving a first order linear ordinary differential equation with a given initial condition. The method is easy to follow and the ...

Solving the Theorem of Pythagoras 0 0 This article was originally published with the title “Solving the Theorem of Pythagoras” in SA Supplements Vol. 84 No. 2188supp (December 1917), p. 362 ...

This October, their solutions were peer-reviewed and thoroughly investigated to confirm what many in the math community never could have imagined — the theorem could be solved by using trigonometry.

In a new peer-reviewed study, Ne'Kiya Jackson and Calcea Johnson outlined 10 ways to solve the Pythagorean theorem using trigonometry, including a proof they discovered in high school.

In this manuscript, we show new binomial identities in iterated rascal triangles, revealing a connection between the Vandermonde convolution and iterated rascal numbers. We also present ...

In this manuscript, we show new binomial identities in iterated rascal triangles, revealing a connection between the Vandermonde convolution and iterated rascal numbers. We also present ...

The Math geniuses proved the 2,000-year-old theory wrong– the two young women found an alternate method to solving the Pythagorean theorem.