Sentence examples for element of a given from inspiring English sources

Mathematically a rule that associates with every element of a given set a unique real number is called a "(real-valued) function".

In this study, a novel and efficient approach was developed to solve this problem by designing a semiregular porous structure with a hole within each mesh element of a given quad/hex-mesh layout of the design domain.

Moreover, for any Banach-valued function u on (mathbb{N}_{a}), we make the convention that (sum_{s=k_{1}}^{k_{2}}u(s)=theta) if (k_{1},k_{2}inmathbb{N}_{a}) with (k_{1}>k_{2}), where θ is the zero element of a given Banach space.

It is also worth noting that, in what follows, for any Banach-valued function u defined on N a, we appeal to the convention ∑ s = k 1 k 2 u ( s ) = θ, where k 1, k 2 ∈ N a with k 1 > k 2 and θ is the zero element of a given Banach space.

In many situations it is desirable to consider two group elements the same if they differ by an element of a given subgroup.

In the following, the first element of a given pair is the one more distant to the ATG (distal element).

Constraints that can enumerate matching objects of last element for a given set of assigned prior elements are called generative constraints.

In this case, one of the optimization problems is to find the sparsest array (number, locations, and weights of elements) for a given beampattern.

In the present work, we are considering a different set of 'sizes', the number of elements of a given order.

This work is considering a different set of 'sizes', the number of elements of a given order.

This watchful attitude carries some potential dangers: many elements of a given culture that are universalist or simply not recognizably national may fall prey to such nationalist enthusiasms.