Sentence examples for introducing equation from inspiring English sources

The final solutions for the bending moments M r (r,t) and M θ (r,t) are obtained introducing Equation 57 into Equations 32 and 33.

Introducing equation 6 into the dynamics of equation 5, we were able to compute, for a given transcription-translation parameter set, the maximum rate of protein concentration increase, and thus the maximum increase of reporter fluorescence.

Therefore, the time evolution of k a is: Introducing equation (5) into equations (4) we obtain the evolution of relative cell volume and growth rate in time.

With t made explicit and half-life introduced, equation 4 is converted to the following form, in which the symbols have the same meaning: Alternatively, because the number of daughter atoms is directly observed rather than N, which is the initial number of parent atoms present, another formulation may be more convenient.

In addition, the design moments determined by the introduced equation are compared with the results from a rigorous numerical analysis with the objective of establishing the relative efficiencies of the introduced equation.

The recently introduced equation-free approach [Theodoropoulos, K., Qian, Y.-H., KevrekI.G., I.G., 2000.

In the present paper we introduce equations on texts sets that underlie these formulas.

From this succession of activities, Ashlyn may have framed the latter part of the classroom activity and/or the homework as introducing an equation for its own sake, an equation she perceived the course as emphasizing.

The motivation for introducing HJB equations is given by reference to the maximum likelihood approach to deriving the EKF.

Dirac's paper introduced an equation, known as the Dirac equation, which unified quantum mechanics, special relativity and the then-new concept of electron spin, to explain the Zeeman effect.

The model introduces one equation for the turbulent kinetic energy, k, and another equation for the rate of dissipation, ε.