Sentence examples for many functions which from inspiring English sources

(i) It is not difficult to see that there exist many functions, which, respectively, satisfy Theorem 1.1 and Theorem 1.2.

From this example, we can see that there are many functions which satisfy the conditions of Theorem 3.1.

In addition these versatile architectures are able to take over of many functions, which leads to avoid the use of many circuits for these different functions.

Microbial S-layers are reported to play important roles in many functions, which contain protecting cells from severe environments, attacks of phagocytosis, and predatory bacterium.

However, there are many functions which are superlinear at infinity, but do not satisfy the condition (AR) for any (mu>2).

Indeed, there are many functions which are superlinear, but it is not necessary to satisfy (AR) even if 1 < θ ≤ 2. Willem and Zou stated the following examples: f ( x, u ) = μ | u | μ − 2 u + ( μ − 1 ) | u | μ − 3 u sin 2 u + | u | μ − 1 sin 2 u, u ∈ R 1 ∖ { 0 }, where μ > 2. Then it is easy to check that (AR) does not hold even for any θ > μ − 1 > 1.

Decide between the + and the - sign, as you can not have both (having both would make it a one to many "function", which would make it invalid as the same).

The new accounting board is granted many important functions, which are generally reviewable by the S.E.C., including disciplining accountants and setting auditing standards.

They might share many common functions, which means, there might be fewer genes differentially expressed between them.

Proteins are one of the major actors in cellular processes and perform many different functions, which are required for the survival of a cell and an organism.

Immunosenescence is related to the deterioration of many immune functions, which may be manifested in increased susceptibility to infection, cancer, and autoimmunity.