Sentence examples for integral to a certain from inspiring English sources

The number of function evaluations required to approximate the integral to a certain degree of accuracy increases exponentially with the dimension of the integral.

The results show that the thermal aging effect decreases the maximum allowed J-integral at a certain ductile tearing modulus by more than 50% and it increases the flow stress and plastic limit load by 11.78%.

We show that the energy is equal to the integral of a certain seminorm of the gradient if the harmonic structure is weakly nondegenerate.

For illustrating the validity of the inequalities established, we apply them to research the boundedness, quantitative property, and continuous dependence on the initial value for the solution to a certain fractional integral equation.

Theorem 1 generalizes an idea developed by the present authors in [2], where the existence of solutions to a certain nonlinear integral equation of Hammerstein type has been shown.

In Section 3, we apply the results established in Section 2 to research boundedness, quantitative property, and continuous dependence on the initial data for the solution to a certain fractional integral equation.

As for applications, we have presented one example, in which the boundedness, uniqueness, and continuous dependence on the initial value for the solution to a certain fractional integral equation are investigated.

Hence, in this method, you can find a certain integral of each symptom which is related to a certain TCM syndrome element.

A projection of a two-dimensional function f x, y) is a linear integral in a certain direction.

Thus the essential of the computations become the integral of a certain function of the posterior distribution.

The lines, whose integral values exceed a certain threshold, correspond to the LFM-signal.