Theme and Variations

Rho: theme and variations

In addition to their roles in organizing the actin cytoskeleton, members of the Rho family of GTP-binding proteins have recently been implicated in a plethora of other functions, including the activation of kinase cascades and transcription factors, and the control of endocytosis and secretion. Alongside this expansion is proposed functions has been the identification of multiple target protein...

Variations on a theme.

A ring satisfying x = x is necessarily commutative. We consider a variety of weaker forms of this condition and show that many but not all of them imply commutativity. We also present a variety of elementary proofs of the fact that x = x implies commutativity.

Cyclomatic Complexity: theme and variations

Focussing on the "McCabe family" of measures for the decision/logic structure of a program, leads to an evaluation of extensions to modularization, nesting and, potentially, to object-oriented program structures. A comparison of rated, operating and essential complexities of programs suggests two new metrics: 'inessential complexity" as a measure of unstructuredness and "product complexity" as ...

Schur Functions : Theme and Variations

In this article we shall survey various generalizations, analogues and deformations of Schur functions — some old, some new — that have been proposed at various times. We shall present these as a sequence of variations on a theme and (unlike e.g. Bourbaki) we shall proceed from the particular to the general. Thus Variations 1 and 2 are included in Variation 3 ; Variations 4 and 5 are particular...

Variations on a Theme