Some time ago I wanted to find a nice combination of sine waves that, when applied to the red, green, and blue components of a series of elements, would provide a nice gradient of colors. I wanted ...

Learn how to simplify complex calculations and visualize data with an online graphing calculator. A graphing calculator is a handheld device or online tool designed to plot graphs, solve complex ...

A line drawing of the Internet Archive headquarters building façade. An illustration of a magnifying glass. An illustration of a magnifying glass.

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, ...

There are 4 main functions: a 1 is the same as the value returned by algebraic_connectivity_directed(G)[0] (see Ref. [2]). a 2 is the same as ã as described in Ref. [3]. a 3 is described in the proof ...

A function is a rule that is applied to one set of values to give another set of values. A function can be illustrated on a graph – points are plotted as coordinates and joined by either a straight ...

Abstract: Algebraic topology studies topological spaces with the help of tools from abstract algebra. The main focus of this paper is to show that many concepts from algebraic topology can be ...

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 ...

Abstract: Both of algebraic immunity and equivalence relations are of great cryptographic significance. But there are few researches on the properties of algebraic immunity of vectorial Boolean ...