Sentence examples for property of the second from inspiring English sources

Now we have seen an interesting property of the second partial derivatives of the function, which is if you take the partial derivative first with respect to x, then with respect to y, or first with respect to y, then with respect to x you get the same thing.

The investigated laminate is made of glass epoxy and graphite epoxy plies to combine the lightness and economical attributes of the first with the high-stiffness property of the second using a modified variation of ACO so called the elitist ant system (EAS) in order to make the tradeoff between the cost and weight as the objective functions.

Generally speaking, the physical property of the second Member is better than the fourth Member.

Since the transformation is invertible, the essential fact is that any property of the first structure will have a correlated property in the second; and any property of the second will have a correlated property in the first.

An important property of the second phase is that it is trivially parallelizable which allows for fast computations.

In terms of occupatio, ownerless things that were susceptible to private ownership (excluding such things as temples) became the property of the first person to take possession of them.

In the following theorem, we establish an equivalence among the strong metric subregularity, the quadratic growth condition, the positive-definiteness property of the second-order subdifferential/generalized Hessian, the strong metric regularity, and tilt stability for a proper l.s.c.

In this paper, the solvability of the periodic problem on difference equations with double resonance is first studied and the "unique continuation property" of the second-order difference operator is derived by proving Lemma 3.4.

We also establish a relationship among strong metric subregularity, quadratic growth, the positive-definiteness property of the second-order subdifferential/generalized Hessian, the strong metric regularity, and tilt stability in a finite-dimensional setting.

This work is devoted to studying the relationships among strong metric subregularity, the quadratic growth condition, strong metric regularity, and the positive-definiteness property of the second-order subdifferential/generalized Hessian in finite and infinite-dimensional settings.

Jiang [13] studies the optimality conditions for optimization problems with second-order cone equilibrium constraints, the Aubin property of the second-order cone complementarity set and the smoothing methods for solving inverse linear programming problems and inverse linear second-order cone programming problems.