Sentence examples for two following equations from inspiring English sources

Equation (3.22) and (3.23) can be rewritten as a system of the two following equations: (3.24).

The link between the initial conversion rate ν01 and the final conversion yield Rf can be modelled by the two following equations: (4) Rf = 16.

It allows estimating Tc and TS using the two following equations: Tplateau = Tc − Ts; LI0 = GF × (Ts/Tc) (LI0 being the extrapolated y intercept of the best-fit line).

For estimating several variables, the value can be obtained by employing the two following equations (Seader and Henley, 2002).

The first signal (chaotic; DFA α = 1.28) consisted of the first 2000 points in the time series from the x-value of the Lorenz attractor with a one point time step, which is specified by the three following equations: Parameters were set to σ = 10, ρ = 28 and β = 8/3.

(4) For the synchronization of the two networks, the following equations will hold: (8) (9) (10) (11)  .

Generally, these operation modes can be classified into three modes according to the following equations.

The degree of phase separation (DPS) in the nanocomposites can be calculated from the peak intensity of the two bands following the equation: where C is the concentration of the bonded and free carbonyl groups.

Now, we embed equation (1.5) and equation (1.6) into the following two equations family with a parameter (lambdain 0,1)), respectively, bigl(biglvert x'bigrvert ^{p-2}x'bigr)'+lambda f(x)x'+ lambda g_{1}(x)+lambda g_{2} t,x =lambda h(t),quad lambdain 0,1] (2.1) and bigl(biglvert x'bigrvert ^{p-2}x'bigr)'+lambda f(x)x'- lambda g_{1}(x)+lambda g_{2} t,x =lambda h(t),quad lambdain 0,1]. (2.2).

Those two concepts are quantified by the following two equations.

An example for the numerical integration of Eq. (2) for two pressure points is shown in following two equations.