Sentence examples for equation to which from inspiring English sources

When there is only one unknown, as in the example above, there is only equation to which the problem must be reduced.

The numerical modeling is based on a finite difference approximation of the heat conduction equation, to which the thermal conductivity model becomes the primary input.

As indicated in the passage above, Descartes establishes in Book Two that Pappus curves fall into the specified classes of geometric curves he has designated, where the class into which a Pappus curve falls depends on the number of lines given in the problem and thus, on the degree of the equation to which the problem is reduced.

For instance, when Descartes treats the four-line Pappus Problem in Book Two, he shows that, by varying the coefficients of the second degree equation to which the problem has been reduced (through the analysis of Book One), we can construct either a circle, parabola, hyperbola, or ellipse (G, 59 80).

The equation had the form of a hypergeometric equation to which Jacobi had found a solution.

What is more, the class of equations to which the theory applies contains several that are of central interest in mathematics and science.

In 1858 he published the paper "On the Integrals of Hydrodynamic Equations to Which Vortex Motions Conform".

Applications to equations to which previously known criteria for oscillation are not applicable are given.

Numerical bifurcation and stability analysis techniques applicable to the specific class of integro-differential equations to which this model belongs are employed to carry out the analysis.

The principal goal of all numerical algorithms is to represent as faithfully and accurately as possible the underlying continuum equations to which a numerical solution is sought.

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