Sentence examples for of the same equation from inspiring English sources

Can any relation be deduced between nonoscillation properties of the same equation on different time scales?

The remaining columns of Table 5 check the stability of the estimates across different versions of the same equation.

Thus, solutions of two different equations and/or two different solutions of the same equation are compared, which allows to deduce oscillation and nonoscillation results.

Let also V μ be the unique solution of the same equation with some initial condition V μ ( 0 ) = ϕ ∈ F, see Theorem 3.3.1.

They also show that a general version of the same equation has been independently derived by mathematical biologists, and they argue that so defined, fitness has a substantial role to play in biology, especially the field of "adaptive dynamics".

For each problem, we rely on heterogeneous and multi-fidelity data, either from a coarse simulation of the same equation or from a stochastic, particle-based, more "microscopic" simulation.

In the second part, Section 3.2, when f is a non-Lipschitz case, we explore the properties of solutions for the same equation.

The stAI inferred here is based on the same equations of the tAI with an organism-specific S ij-values' set (Equation 1), which is based on a measure of CUB.

For results, which guarantee the solvability of the Dirichlet BVP for the same equation, in the scalar and in the vector cases, see [12] and [16] respectively.

We thus have many different "possible worlds" (sets of solutions to the same equations), each one built on one of the possible orthogonal (in the infinite volume limit) ground states.

The solution is completed by averaging both sides, and recognizing that the average of the response satisfies the equation (36) < R ∗ > = α < S > 1 + β < R ∗ > Again, the average of R∗satisfies the same equation (with respect to the average of S) as R∗ (with respect to S) in the non-diffusible case.