Sentence examples for transform notation from inspiring English sources

Weyl transform notation is helpful for obtaining a precise formulation of the Hardy-Ramanujan master theorem and Ramanujan's interpolation formula.

Synthesis of this waveform may be constructed in the Walsh basis using the Hadamard transform (notation upper right), as will be discussed in Section 5.

The jump-operators - as is true for all site-local operators - are unaffected by the Jordan-Wigner transformation and so in this transformed notation,.

This first of all alleviates the generation of the code tremendously and reduces human errors and secondly is the easiest way to transform the notation of the user into the notation of CrasyDSE.

This cannot be explained by the 2012 switch from A10398G to "G10398A" executed in PhyloTree since this equally transformed the notation for the C7028T polymorphism by reversing the roles of C and T: there are ~4250 entries for the standard form 'C7028T mtDNA' but only ~355 entries for 'T7028C mtDNA'.

UCVA in 5-grade notation was transformed into logMAR notation in the statistical analysis.

We introduce a procedure to transform within the matrix notation.

Performances were based on existing classical and popular music, transformed through unorthodox notation and invented instruments.

And, once again, Birrell and Harding prove themselves experts at eliciting music from mayhem as a poetic mix-up of texts lifted from Keats, Shelley and Corso are transformed into musical notation for their gratifyingly beguiling Sonata.

For example, in modern notation, he could transform x3 + ax2 = b2x into x2 + ax = b2.

In this paper, we propose a framework to transform automatically UML activity diagram 2.0 (informal notation) to Petri Nets (formal notation) for the analysis purpose using INA analyzer tool.