Sentence examples for established analogous from inspiring English sources

He established analogous results for the sphere showing that the volume of a sphere is equal to that of a cone whose height equals the radius of the sphere and whose base equals its surface area; the surface area of the sphere he found to be four times the area of its greatest circle.

The relations between the base velocity and concentration profiles and the velocity and concentration fluctuations have been established, analogous to the theory of statistical physics which describes the relation between the fluctuating forces and velocities for particles in non-equilibrium systems.

Therefore, criteria were established analogous to the previous report on adult clients [ 31] to strengthen confidence in the reliability of the information being analyzed.

To evaluate its psychometric quality, 261 patients with type 1 or 2 diabetes were assessed with the DSMQ and an established analogous scale, the Summary of Diabetes Self-Care Activities Measure (SDSCA).

Dr Gosling managed to establish analogous personality spaces for his two social carnivores.First, he asked people who knew individual animals well to describe them with lots of different adjectives.

The proof of Theorem 3.3 may readily be adapted to establish analogous results for both holomorphic and biregular functions context.

We establish analogous weighted polynomial inequalities on some multivariate domains, such as the unit sphere Sd−1, the unit ball Bd, and the general compact symmetric spaces of rank one.

New fixed point theorems on metric spaces are established and analogous results on partial metric spaces are deduced.

A special registry that records a sub-class of randomized care – randomized health services studies – has been established as analogous to the registers of clinical trials [ 29].

We now establish an analogous relationship when only partial CSI is available.

In this short note, we develop these ideas further and establish an analogous blow-up criterion for solutions of the 3D ideal MHD equations (1).