Sentence examples similar to integrating the time variable from inspiring English sources

Multiplying A t in (3.4) and integrating with the time variable t, we get the corresponding mechanical energy ε ( t ) = 1 2 A t 2 + U ( A ( t ) ), (3.5).

Integrating (1.1) with respect to the time variable from 0 to t and using integration by parts, we get frac{d}{dt} int_{mathbb{S}} u,dx=-biggl(lambda int_{mathbb{S}} u,dx-lambda[u]biggr), from which one derives ([u(t)]=[u_{0}]), for all (t>0).

Zhuang et al. [13] integrated the linear and nonlinear subdiffusion equations about the time variable t and then approximated the obtained equivalent equations numerically with the idea of numerical integrals.

Taylor's frozen pattern hypothesis on turbulent streams enables the time variable of all time-series data to change to the distance variable by integrating wind speed with time.

We propose a pseudospectral algorithm based on Chebyshev polynomials to integrate the spatial variable for the ((1+1)) parabolic PDEs with discrete time delay.

It adopts a macro solver to integrate the slow variables with global time steps and a micro solver to integrate the fast variables with smaller inner time steps.

Integrating the ST over time results in the Fourier transform.

A composite model integrating the MPI with clinical variables provides the most accurate risk stratification.

since y = 0. Integrating (4.9) with respect to time variable from τ to t, we see that Y ( t ) is a solution to the problem ∂ t Y ( t ) + ∂ t ( A Y ( t ) ) + ν A Y ( t ) = K ε ( t ), q Y ( t ) | t = τ = 0, (4.18).

The discrete variables at each grid point are calculated as a function of time by integrating the dimensionless differential equations (22)–(24) with the fourth-order Runge-Kutta method.

The stress variable method is introduced to overcome the difficulty of integrating the strain energy integral appearing in the variational equations, if the constitutive equations contain the time derivatioves of stress.