The statistical physics of graphs and partition functions represents a vibrant intersection of graph theory, statistical mechanics and computational complexity. By summing over an ensemble of ...

"Relations and Functions" stand out as crucial topics within algebra. These terms, though related, hold distinct mathematical meanings. It's common to feel uncertain about their disparities. To ...

This course will discuss fundamental concepts and tools in discrete mathematics with emphasis on their applications to computer science. Example topics include logic and Boolean circuits; sets, ...

Trigonometric graphs can be sketched when you know the amplitude, period, phase and maximum and minimum turning points. Learn about graphs of trigonometric functions in this National 5 Maths guide.

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 ...

In this paper we deal with the following problems: When do the solutions of a collection of differential equations satisfy an elementary relation, that is, when is there an equation of the form R = 0 ...

NCERT Solutions for Class 12 Maths Chapter 1: NCERT questions and solutions are key to understanding the concepts of the syllabus. This will help students to score well in the CBSE Board Exam 2025.

Applicable Analysis and Discrete Mathematics, Vol. 10, No. 2 (October 2016), pp. 408-446 (39 pages) An associative Boolean tree is a plane rooted tree whose internal nodes are labelled by AND or OR ...