These days, many of us are reading about digital twin technology cropping up across industrial and consumer applications, from healthcare simulators to real-time traffic maps. The concept behind the ...

A translation is a movement of the graph either horizontally parallel to the \(x\)-axis or vertically parallel to the \(y\)-axis. The graph of \(y = f(x)\) where \(f(x) = x^2\) is the same as the ...

Semigroups of transformations and endomorphisms have emerged as powerful algebraic frameworks to elucidate the underlying structures of graphs. By harnessing the principles of semigroup theory, ...

In this paper, we will obtain new algebraic transformations of the 2 F 1 -hypergeometric functions. The main novelty in our approach is the interpretation of identities among 2 F 1 -hypergeometric ...

For the longest time, graphing calculators have not changed in terms of design and function, as they all centered on solving algebra and other math problems that could take more time to solve on paper ...