Sentence examples for using the geometric argument from inspiring English sources

Before the rigorous proof, we provide an intuitive explanation for the convergence using the geometric argument proposed in [24].

Intensity values were determined using the geometric mean.

However, Hirsch tells me both these companies use the geometric approach, which gives a less accurate measurement.

Moreover when multiple atoms are selected for the same residue PINTS always uses the geometric centroid.

Therefore, we used the geometric mean and the standard deviation of the geometric mean.

Notice that "any hyperconvex norm on " means essentially (i.e., up to an isometric isomorphism) the maximum norm; this follows from Theorem 2.6 and can also be proved using a geometric argument (see [19, Theorem  4.1]).

The geometric arguments of the previous section potentially lend themselves to multiply connected domains in the following way.

This is also exactly the direction corresponding to the smallest semi-axis of the ellipsoid = r for some r > 0. In other words, we were looking for the infimum of γ > 0 for which the set Similarly to the linear case, we will use a geometric argument to achieve initial condition design in the nonlinear case.

Using an intuitive geometric argument, it is shown that the real spherical functions extend to the Hilbert-Schmidt limit and never beyond.

Using a simple geometric argument, we show analytically that bistability can also emerge without multimeric regulation, provided that at least one regulatory autoloop is present.

Zhang and Zhang [ 7] used a geometric argument to support this claim further.