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, ...

Save guides, add subjects and pick up where you left off with your BBC account. A translation is a movement of the graph either horizontally parallel to the \(x\)-axis or vertically parallel to the ...

Journal of Music Theory, Vol. 42, No. 2, Neo-Riemannian Theory (Autumn, 1998), pp. 241-263 (23 pages) Connections between parsimonious structures and "modes of limited transposition" from three set ...

The data management landscape is undergoing a serious transformation. While traditional relational databases have been the ...

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 ...