Sentence examples for zero functions from inspiring English sources

Also, we follow [9] for the definition of the q-derivative at zero and the q-regular at zero functions.

So, h and (D_{q} h) are q-regular at zero functions such that (h(0)=h(a)=0).

The space (mathcal{AC}_{q}[-a,b]) is the space of all q-regular at zero functions that satisfy condition (2.3) for all (tin[-a,b]).  .

Let (C X)) denote the space of all q-regular at zero functions defined on X with values in (mathbb{R}).

For convenience and without loss of generality, we may also suppose that (varphi x,y,t)), (varphi_{0} x,y)), and (varphi_{1} x, y)) are all zero functions in the following theoretical analysis.

The space of all q-absolutely functions on (A_{q,t}^) is denoted by (mathcal{A}C_{q}(A_{q,t}^)) and defined as the space of all q-regular at zero functions f satisfying sum_{j=0}^{infty}biglvert f bigl uq^{j}bigr -fbigl uq^{j+1}bigr bigrvert leq K quad mbigl uq^{j}bigr -fbigl uq^{j+1}bigr bigrvertant depending on the function f, cf. [33], Definition 4.3.1.

(12) Therefore u is the zero function.

Imprisonment serves three functions.

It would have two functions.

The transaction has two functions.

The clip has two functions.