Sentence examples for analysis of the continuum from inspiring English sources

The exit region was characterized using non-dimensional analysis of the continuum equations (balances of masses and momenta) that described multiphase flows.

In this communication, we show that these features can be well pointed out by a multi-wavelength analysis of the continuum and of the broad recombination Hydrogen lines, that we carry out on a sample of objects detected at optical and X-ray frequencies.

We used the Z-transformed Discrete Correlation Function (ZDCF) and the Stochastic Process Estimation for AGN Reverberation (SPEAR) methods for the time series analysis of the continuum and the Hα and Hβ line fluxes of a sample of well known type 1 active galactic nuclei (AGNs): Arp 102B, 3C 390.3, NGC 5548, and NGC 4051, where the first two objects are showing double-peaked emission line profiles.

His work curiously anticipates nineteenth-century mathematical analysis of the continuum, and he is well know for developing the Mean Speed Theorem concerning the distance covered over a period of time under uniform acceleration.

The question of whether magnitude is perpetually divisible into smaller units, or divisible only down to some atomic magnitude leads to the dilemma of divisibility (see Miller [1982]), a difficulty that Aristotle necessarily had to face in connection with his analysis of the continuum.

Cantor's analysis of the continuum in terms of infinite point sets led to his theory of transfinite numbers and to the eventual freeing of the concept of set from its geometric origins as a collection of points, so paving the way for the emergence of the concept of general abstract set central to today's mathematics.

In this paper, we present a method of analysis on the continuum scale of molecular dynamics simulations of dislocation defect interactions.

Numerical solutions for the dynamic analysis of these continuum systems are developed using a simple Finite Element (FE) model.

Formulation of numerical (finite element) methods for the analysis of the nonlinear continuum response of materials.

The relative intensity analysis of the Xe continuum peak at wavelength 172 nm in the optical emission spectra of the vacuum ultraviolet region has been carried out for different operating conditions.

This analysis of the HIV continuum of care identified seven critical process steps providing numerous opportunities for performance measurement.