Sentence examples for collection of equations from inspiring English sources

Another perturbation method is to assume that there is a solution to the perturbed equation of the form f + εg1 + ε2g2 +... etc., in which the g1, g2,... etc., are unknown, and then to substitute this series into the equation, resulting in a collection of equations to solve corresponding to each power of ε.

These two commands are sufficiently powerful so that, in many cases, when one applies them repeatedly to a complicated collection of equations, they transform the collection of equations into an equivalent but substantially simpler collection of equations.

Many classical theorems in analysis can be viewed in terms of solving a collection of equations.

In order to compare the power of various solution schemes it is necessary to apply them to representative collections of equations.

There are many different collections of equations whose zero sets describe the same geometric shape.

The second method, the Rule of 0 and 1, is very powerful, but it depends on being given a collection of premiss equations and a conclusion equation.

Boole had already stated that every equation is interpretable (by converting it into a collection of constituent equations).

To begin with, this is the collection of solved equations by Kamke [10].

But the picture changes in the Upaniṣads (c. 1000 500 bc; "Collections of Esoteric Equations").

Novices, on the other hand, often think of physics as a loose collection of ideas and equations with few or no connections among them (Chi et al., 1981).

The collection of Kamke of solved equations, and a tremendeous compilation of random equations are applied as a benchmark test for comparison of various solution procedures.