Sentence examples for order notation from inspiring English sources

For (a, b inmathbb{R}^{m}), the following order notation will be used: (a geqq b) if and only if (a_{i} geqq b_{i}), for all (i inunderline{m}); (a geqslant b) if and only if (a_{i} geqq b_{i}), for all (i inunderline{m}), but (a ne b); (a > b) if and only if (a_{i} > b_{i}), for all (i in underline{m}); and (a ngeqslant b) is the negation of (a geqslant b).

In the limit as the total population size tends to infinite, the following relation holds

Build Order Notation.

Functions can be defined by the ordered pair notation, tables, or graphs.

Using the familiar ordered pair notation for propositional content (see, e.g., Thau 2002, 83), and ignoring issues about whether the cucumber itself is associated with a mode of presentation, the dispute may be put as follows.

Note that, as indicated earlier, here in order to simplify notation, we write (N=N(n)) as (N=k) when (n=2k) and (N=k+1) when (n=2k+1).

In order to simplify notation, we set x : = ϕ t ( p ).

In order to ease notation, we introduce an additional state N+1.

(In order to simplify notation, we use in this explanation symbol m t instead of (m_{t_{n}})).

In order to simplify notation, for (u:{mathbb {R}}^nrightarrow {mathbb {R}}) and (s>0) we put Open image in new window.

Two systems are considered to be equivalent in terms of complexity if their respective detection algorithms are of the same order in O notation.