Sentence examples similar to the conditions of the function from inspiring English sources

We consider some specific functions which satisfy the conditions of the functions u and v, and we see the connection between Hilbert and Hilbert-type inequalities with Hardy and Hardy-type inequalities from the introduction.

In the sequel, we change the condition of the function f from (C4A) to (C4B), and get some similar conclusions as follows.

If we choose P = I 3 and Δ = 10 I 3, then the function f ( x ) satisfies the condition of the function class QUAD ( Δ, P ), where α = 0.6218.

One of the main issues in controlling a system is to keep track of the conditions of the system function.

The horizontal volume of the station is due to the conditions of the site, functions and development regulations.

A function satisfying the conditions of the preceding theorem is called a Bianchini-Grandolfi gauge function (cf [24, 30]).

Consequently, during the tracing process, the condition of the discrimination function will not be satisfied anymore and the algorithm terminates.

This function satisfies the conditions of the Schwarz lemma.

Basically, we allow f to be discontinuous over countably many graphs of functions in the conditions of the following definition.

Given that article 8 of the directive prevents member states from prohibiting or restricting free movement of products and the freedom to provide services that comply with this directive, 'article 8 of the directive gives expression to the objective laid down in article 1(2) of improving the conditions for the functioning of the internal market' (para 74).

It is needed to improve the cost function of BfsEnumP2 under the condition that the function is calculated in a very quick way.