Sentence examples for equation for the changes from inspiring English sources

These two equations can be combined into one differential equation for the changes that n will undergo, which defines uniquely how any initial distribution of particles will develop with time.

He derived an equation for the change of the distribution of energy among atoms due to atomic collisions and laid the foundations of statistical mechanics.

A discretized population balance equation for the change in the number concentration of drops due to Ostwald ripening is solved using the method of characteristics.

If its inverse exists, the operator inverse can be applied to both sides of (53), which will lead to an explicit equation for the change in the thermal variable, (dot {varsigma }).

Microprinting on the collar of Gibbs's portrait depicts his original mathematical equation for the change in the energy of a substance in terms of its entropy and the other state variables.

For example, Busemeyer and Townsend use a linear stochastic difference equation for the change of the preference state in the course of time [4].

For each scale, a multiple regression analysis was used to find the best prediction equation for the change of QoL ratings after three months.

Saunders implied that a gradual change of the astigmatic axis reached an oblique mid-point in early middle life and presented a new regression equation for the change of astigmatism [ 19].

This yields the following equation for the change in the number of infected individuals between treatments: We used Eq. (3) (with the estimates of ν2 and ϕ in our previous work (Lietman et al., 2011)) to estimate the efficacy assuming the presence of this non-linear term.

To illustrate the role of direct and indirect selection, one can write a general equation for the change in the frequency of preference alleles between generations: (4) Δ p = a P, 0 C PP + a T, 0 C PT Here, Δp is the sum of direct selection and indirect selection.

Besides this, the equations for the changes of the magnetic force along with time and the running position of the armature under jointed pulse operating current are presented.