Sentence examples for makes the integral from inspiring English sources

It makes the integral structure hard to adjust for the function variety [22].

this transform, when used for (B m, t)) in (3.4), makes the integral uniformly convergent in (xge0).

Fast Fourier transform function FFT in the Matlab is used to calculate the numerical integral, which makes the integral operation simple and efficient.

The nonconservative product Open image in new window makes the integral resolution difficult because of the definition to a weak solution of the problem Eq. 30.

The moving box is aligned with Cartesian grid faces, which makes the integral evaluation straightforward in an immersed boundary (IB) framework.

end{aligned} (3.11) Clearly, it is sufficient for the above procedure to hold that the function gamma^{-1/2} int_{0}^{infty}e^{-frac {x^{2}}{4gamma}} F x,t), dx should (i) exist for (gamma>0),   (ii) admit of a Fourier cosine transform with the parameter (2m^{2}ge0), and   (iii) this transform, when used for (B m, t)) in (3.4), makes the integral uniformly convergent in (xge0).

Note that while satisfaction of the Euler-Lagrange equations makes the integrals in Eq. (6) stationary, this is only a first-order condition that is satisfied by maxima, minima, and saddle points alike.

The most commonly-used tools of variational calculus, the Euler-Lagrange equations [ 24, 25], require formulating the integral in terms of a time-dependent function and its first derivative, and then varying that function to make the integral an extremum.

We will now show that when p is a power law p = c(− ṅ/ n) a, it follows that Ẽ = np is a constant if n(t) is chosen to make the integrals in Eq. (6) stationary.

The Euler-Lagrange equations that must be satisfied to make the integrals in Eq. (6) stationary are: (14) d d t Π = ∂ ∂ n p m (15) Π = ∂ ∂ n ˙ p m In the terminology of classical mechanics, Π is a momentum, and p m is our Lagrangian.

Renowned Bronze Age archaeological site Flag Fen in Cambridgeshire will host a first-of-its-kind dig that makes the public integral to the project.