All quadratic functions have the same type of curved graphs with a line of symmetry. The graph of the quadratic function \(y = ax^2 + bx + c \) has a minimum turning point when \(a \textgreater 0 \) ...

This research topic explores the theoretical foundations and practical applications of graph labeling and coloring problems, both of which are central to modern combinatorics and computer science.

Given the graph of a common function, (such as a simple polynomial, quadratic or trig function) you should be able to draw the graph of its related function. The graph of the related function can be ...

Mathematics has applications throughout the sciences and social sciences. It's also a subject with intrinsic intellectual and aesthetic interest. Mathematics draws much of its following and strength ...

What if instead of defining a mesh as a series of vertices and edges in a 3D space, you could describe it as a single function? The easiest function would return the signed distance to the closest ...

Annals of Mathematics, Second Series, Vol. 160, No. 1 (Jul., 2004), pp. 185-236 (52 pages) In this paper we solve the subconvexity problem for Rankin-Selberg L ...

Mathematicians used “magic functions” to prove that two highly symmetric lattices solve a myriad of problems in eight- and 24-dimensional space. The points could be an infinite collection of electrons ...

The article is devoted to investigation of the classes of functions belonging to the gaps between classes Pn+1(I) and Pn(I) of matrix monotone functions for full matrix algebras of successive ...