Sentence examples for geometric interpretations from inspiring English sources

Such methods are complementary with traditional geometrically-based cross-section analysis tools, as they enable mechanical validation of geometric interpretations.

It also makes a neat set of original T-shirts, including one with the traditional rider acknowledgement across the front and a rather good take on geometric interpretations of wheels.

First, geometric interpretations of three basic Jacobi elliptic functions are given and their characteristics are discussed.

The intention of the paper is to demonstrate the beauty of geometric interpretations in robust control.

In this paper, some animations of the fundamental concepts of Calculus are shown, emphasizing the analysis of their geometric interpretations.

But Riemann restricted himself to the special case \(m = 1\) because he was pressed for time and because he wanted to give specific geometric interpretations of his results.

Also like differentiation, integration has a geometric interpretation.

The groups had an even simpler geometric interpretation than the corresponding algebras, for they turned out to describe motions that leave certain properties of figures unaltered.

It was pointed out, however, by the German mathematician Hermann Minkowski in 1908, that the Lorentz transformations have a simple geometric interpretation that is both beautiful and useful.

By this time complex numbers had become an accepted part of mathematics, obeying the same algebraic rules as real numbers and having a clear geometric interpretation as points in the plane (see figure).

Their reaction was to create an arithmetic of line segments, as found in Book II of Euclid's Elements (c. 300 bc), that included a geometric interpretation of rational numbers.