Sentence examples for dimension such that from inspiring English sources

The Poincaré map is a powerful tool that, in combination with a constraint on the energy level, allows a reduction in dimension such that, for the planar problem, the system is reduced to two-dimensions and the phase space is fully represented by the projection onto a plane.

Let M be an indecomposable automorphism-invariant module with finite Goldie dimension such that M is not quasi-injective.

Let and be two square matrices of dimension such that has all zero elements except for and (2.7).

Similarly, is an -block column vector of dimension such that only the th block is nonzero and is the identity matrix in.

In fact, is a -block row matrix of dimension such that only the th block is nonzero and is the identity matrix in.

On the other hand, the very act of taking part in an election acquires a non-private dimension, such that we should consider ourselves accountable towards our fellow citizens (horizontal accountability).

The designer must choose dimensions such that the displacement of the vessel is equal to the sum of the deadweight and the lightweight tonnages.

The goals and values associated with behavioral intentions differ across cultures and have different perceived dimensions, such that items cluster on those dimensions with specific meanings, depending on the culture.

The purpose of this paper is to develop a method for optimizing unstructured grids in two and three dimensions such that the monotonicity behavior of the MPFA technique is significantly improved.

This is applicable because distance measurements corresponding to the Euclidean space are often restricted to within 2 or 3 dimensions, such that.

Define admissible sets Λ and Θ, which have respectively p and q dimensions, such that (boldsymbol{delta}in Lambda), (boldsymbol{beta}inTheta).