Sentence examples for method of infinitesimal from inspiring English sources

This method, the so called classical Lie method of infinitesimal transformations, has been applied last year to important partial differential equations (PDEs) which arise from mathematics and physics.

For Cohen, this process is modelled on the methods of the infinitesimal calculus (in this connection, especially, see [Cohen 1883]).

According to Leibniz, it is the Law of Continuity that allows geometry and the evolving methods of the infinitesimal calculus to be applicable in physics.

A general method for evaluating the order of infinitesimal mechanism is presented for 3-dimensional bar-joint mechanism, which is defined as assembly of rigid bars connected to nodes by hinges with arbitrarily inclined directions.

In this paper, we use the method of Lie group invariance under infinitesimal point transformations [[16] [18]] to study the problem of propagation of strong shock waves in a radiating and electrically conducting gas permeated by a transverse magnetic field.

Generally considered the greatest mathematician of antiquity and one of the greatest of all time, Archimedes anticipated modern calculus and analysis by applying concepts of infinitesimals and the method of exhaustion to derive and rigorously prove a range of geometrical theorems, including the area of a circle, the surface area and volume of a sphere, and the area under a parabola.

The structure of infinitesimal generators and efficient application of numerical methods for steady-state solutions are considered in detail.

Newton's method involved taking ratios of infinitesimals.

The flow equation approach consists of a sequence of infinitesimal unitary transformations and is conceptually similar to renormalization and scaling methods.

In this work, the continuum sensitivity method (CSM) is extended to three-dimensions (3D) to accurately compute sensitivity fields and in particular changes in the design objectives as a result of infinitesimal perturbations to the design parameters.

Focus for Fall 2012: Relation of infinitesimal symmetries to microlocal structures.