Sentence examples for equations such as those from inspiring English sources

Also, fundamental equations, such as those derived from the Clausius inequality, express the entropy flux of TR in a q/T type form.

For equations such as those to be useful for tool and process design and process control, they must be placed in a form such as nomograph, charts and tables so as to be readily applied under different operating conditions.

As a specific example, we consider the design of such wavelets for the incremental and adaptive solution of fourth-order partial differential equations such as those governing the mechanics of thin elastic plates and shells.

Explicit total variation diminishing (TVD) numerical methods have been used in the past to give convergent, high order accurate solutions to hyperbolic conservation equations, such as those governing flow in oil reservoirs.

In addition, for non-minimal set equations, such as those of a DAE system, there is a certain number of spurious eigenvalues associated with the algebraic constraint equations, which are meaningless for the assessment of the stability of motions.

L. Earnest, Kutta integration with error control, presented at ACM National Conference, 1956, proposed a way to numerically solve simultaneous differential equations, such as those used in flight simulation, by automatically adjusting time steps based on error estimates obtained from a modified Runge Kutta method.

The accuracy (deviation less than 30% from the sGFR) of the eGFRRBF was significantly better than those from traditional eGFR equations, such as the Jelliffe-1973-equation Jelliffe-1973-equation Jelliffe-1973-equation

Multivariate equations such as the Framingham equations are used to estimate CVD risk to target therapy to those with the highest absolute risk and to provide patients and practitioners with prognostic information.

But the basic definition of linearity holds for much more complicated equations, such as the differential equations used in engineering to describe dynamic systems.

Topics: Schauder and L2 estimates for elliptic and parabolic equations; De Giorgi-Nash-Moser theory for elliptic equations; nonlinear equations such as the minimal surface equation, geometric flow problems, and nonlinear hyperbolic equations.

Such functions can then be used to discretize high order partial differential equations, such as the biharmonic equation.