Sentence examples for the convenient forms from inspiring English sources

We show how the current state of the art in the modeling of electro-mechanics in deformable media can easily be integrated within the unified framework of continuum thermodynamics, this latter being crucial in setting the convenient forms for the constitutive laws and evolution equations.

Elementary considerations motivate the modeling throughout the paper and the formulation is integrated within the unified continuum thermodynamics of open media, which is crucial in setting the convenient forms of the state laws and evolution equations for the flux variables to fully characterize the behavior of porous materials.

More specifically, we show how the current state of the art in the mathematical modeling of magneto-mechanics can easily be integrated within the unified framework of continuum thermodynamics of open media, which is crucial in setting the convenient forms of the state laws to fully characterize the behavior of porous materials.

The approach is built around the unified framework of continuum thermodynamics which is crucial in setting the convenient form for the state laws.

To put the integral in the convenient form I first need to write the vector of correlated normally distributed random effects as a linear function of a vector of standard normal random variables.

Individuals were dispersed; the rationing of paper affected the production of magazines and books; and the poem and the short story, convenient forms for men under arms, became the favoured means of literary expression.

Applying Theorem 3.4, we can improve Theorem 3.1 and Corollary 3.1 into the following more convenient forms.

In this paper, recognizing the competitive reality of today's airline markets we formulate and solve numerically a differentiated duopoly model in order to compare welfare implications of adopting the two most convenient forms of aviation security pricing: (1) charging a flat rate per passenger; and (2) charging Ad Valorem user fees.

Anchovy paste is the most convenient form of the fish.

To have the same convenient form for comparing the results of one-step pretreatments at different consecutive temperature levels (TR (°C)) and durations (ti (min)), the severity factor was extended to (3) Before the DAH experiments were conducted, preliminary testing of the reactor was required to establish the operation procedure.

A description is given of the hardware and software required in order to adapt one particularly popular model of "home computer" into a versatile and powerful experimental tool, designed to control electrochemical experiments, acquire and process the data and to display the processed results in convenient forms.