Sentence examples for dual relation between from inspiring English sources

Based on the theory of first-order ordinary differential equations, a dual relation between two solutions in the dual local coordinates for a single layer in the laminate is derived, which is further arranged in a manner that can avoid the numerical instability usually encountered in the state space method.

While the existing algorithm is based on the equivalence of G(D) and G P DD), the proposed algorithm uses the dual relation between H(D) and G P DD).

In future, the dual relation between ideal space and kernel space can be further used to switch the computation of kernel space into that of ideal space, thereby realizing the application of commutative algebra to efficiently solve the machine learning problem.

Indeed, the following two lemmas are dual relations between the delta left fractional sums (differences) and the nabla left fractional sums (differences).

Also it is necessary to obtain dual relations between the left and right fractional sums and differences via the Q-operator.

For example, Marsalli and West [2] obtained a series of results including a Riesz factorization theorem, the dual relations between (H^{p}(mathcal{A})) and (H^{q}(mathcal{A})), and Labuschagne [3] proved the universal validity of Szegö's theorem for finite subdiagonal algebras.

His philosophy has also presented to his Buddhist and Christian readers serious challenges, such as a notion of a non-dual relation between God and man, and an emphasis, unusual in Buddhism, on the embodied self in the historical world.

The extant commentary on the Categories mentions only a dual relation, that between words and things, whereas other sources attribute to Porphyry a triadic relation between words, concepts and things.

If one assumes that the uncertainty relation gives the exact hydrogen radius, then the uncertainty relation between GFT dual parameters for the system under the SL operator of Equation11 must be σ r · σ E ≥ a B E a 3. Open image in new window (18).

Because the transformation kernel in Equation 5 is a general solution of the EoM as a function of the variable ξ1, the GFT dual pair amplitude ψ2 is the solution in the GFT dual space by direct analogy with the relation between configuration and momentum spaces.

Thus, the extended walking distance dual-task test may show the relation between the tasks and the occurrence of falls among community-dwelling older adults.