Sentence examples for to consider a generalization from inspiring English sources

Our purpose here is to consider a generalization involving the "moment" integral I alpha,beta)= int_{-infty}^{infty}frac{vert sin xvert ^{alpha}}{ vert xvert ^{beta}},dx,quad alpha>beta-1>0.

Since this bookkeeping is in some situations too difficult or sometimes also of not so much use, Borel [56] proposed (in a way which is similar in spirit to the one of Grothendieck) to consider a generalization of the cohomology of the quotient (see [173] for a nice account of the theory and its applications in algebraic geometry).

We also consider a generalization of Cobb-Douglas to a translog function for KD and LD.

We consider a generalization ϕ X0,X1 p0,p1 of the method of means to arbitrary non-degenerate functional parameter.

In this paper, we consider a generalization of kernel-based IPMs discussed in the paper [17] to the Cartesian P ∗ -SCLCP.

In this paper, we consider a generalization of Ebenbauer's differential equation for non-symmetric matrix diagonalization to a flow on arbitrary complex semisimple Lie algebras.

Furthermore, we also consider a generalization of the construction.

Here, we consider a generalization of channel shortening which we term "channel sparsening".

We also consider a generalization involving a Hopf C*-algebra or, more precisely, a regular multiplicative unitary.

We first suppose that E + I − 2 E I < 0 and consider a generalization of the optimal strategy described above.

We consider a generalization of the knapsack problem in which items are partitioned into classes, each characterized by a fixed cost and capacity.