Sentence examples for straightforward algebra from inspiring English sources

The math problem was a straightforward algebra problem of the sort that any high-school graduate should have mastered.

Straightforward algebra shows that P J zz) does satisfy Eq. (2.3).

After some straightforward algebra, the dispersion relation is obtained by Eqs.

Straightforward algebra shows that (D_{infty } u) = sum _{k=0}^{infty } D_{k} u)) has the form claimed in (7).

Through straightforward algebra, it can be shown that the evaluation of the lower bound in Theorem 2 using the above choices gives the lower bound in Theorem 5.

A second-order sliding-mode-based adaptation law is designed for estimating the frequency and the damping factor, while amplitude and phase are obtainable from the said parameters by straightforward algebra.

These are generally cast in terms of prediction errors using straightforward linear algebra.

In contrast, our multivariate method is able to assign directionality even in cases where both single gene phenotypes are non-zero, based on a straightforward vector algebra calculation.

All classes ((alpha ), beta )) and ((gamma )) are non-empty and while examples of algebras in the classes ((alpha )) and ((beta )) are straightforward, the construction of algebras in the class ((gamma )) requires some work.

Finally, we suggest that processing point clouds using 3D raster methods including 3D raster algebra is as straightforward as using well-established 2D raster and image processing methods.

The frontal method can be very efficient for solving such systems on modern computer architectures because, in the innermost loop of the computation, the method exploits dense linear algebra kernels, which are straightforward to vectorize and parallelize.