A translation is a shift of the graph either horizontally parallel to the \(x\)-axis or vertically parallel to the \(y\)-axis. If \(f(x) = x^2\), then \(f(x) + a = x^2 + a\). The value of \(a\) ...

Commutative algebra and graph theory are two vibrant areas of mathematics that have grown increasingly interrelated. At this interface, algebraic methods are applied to study combinatorial structures, ...

In this article, we will demonstrate how to use the graphing feature in the Windows calculator to try and make mathematics more fun. Microsoft has always strived to kick up a notch the Windows ...

Algebraic structures are fundamental mathematical entities defined by sets equipped with operations that satisfy specific axioms, such as groups, rings, and fields. Function spaces, by contrast, are ...

A function is a way of describing what happens to an input variable, in order to get the output result. \(\text{Input} \rightarrow \text{FUNCTION} \rightarrow \text{Output}\) If we think of a simple ...