Sentence examples for on the notations from inspiring English sources

We first introduce some notations and then present the MK CP problem based on the notations.

From now on the notations and are reserved for Clifford vectors associated to points in.

To simplify reading, from now on, the notations are used without explicitly giving their domains.

For all we assume throughout that has the topology that it inherits from the standard topology on The notations and so on, will denote time-scale intervals.

Therefore, given the known trend of one property change, one is expected to be able to predict the variation of the rest based on the notations of the bond order length strength correlation and local bond average approach (BOLS-LBA).

The notations Range(A) and Null A) indicate, respectively, the range space and the null space of A. Note on the notations in bold. 2 and |.| 2 : let a=[a 1,⋯,a N ] T be a vector of size N×1.

From now on, the notation ({mathbb {V}^{mathrm {m}}}'=eta _{mathrm {s}}mathbb {P}_{2}) is used.

He added, "Some of the notations on the scripts as to what the props were are probably mine".

The very look of the notation on the page might be symbolic: sharp signs resemble crosses (# or x).

Prosecutors have said that one test on the notation had been conducted by Mr. Stewart's colleague and that he had also lied about his knowledge of a book other colleagues were writing.

This involves slightly pushing the string (or strings) up or down, and is signified on the notation by an arrow curving upwards towards a symbol.