Sentence examples for multiplies the first from inspiring English sources

Namely, we implement the following version of (1) begin{aligned} Delta log L_{t}=beta _{1}Delta log (gamma ^{R})+beta _{1}Delta log (gamma _{t}^{U} +beta _{2}Delta log K_{t}+varepsilon _{t} end{aligned} (2)(beta _{1}) multiplies the first two terms as both enter additively in (1).

An extra factor of g multiplies the second ODE because g acts as a multiplier and must remain nonnegative.

In LT Boole simply multiplied the first equation by v to obtain vx  =  vvy  =  vy.

We multiply the first and the second equations of (2.3) by and, respectively.

We use to multiply the first equation in the system (4.9) and then integrate over.

We merely multiply the first equation of (33) by and integrate by parts over.

We multiply the first equation in (4.9) with and integrate over, then we reach that (4.16).

Multiplying the first equation in (1.1) by (u^{p-1}) and integrate on Ω by parts.

Multiplying the first equation of (1.1) by (u_{t}), integrating over Ω, we obtain (2.5).

Multiply the first equation of (1.4) by for and integrate by parts over to obtain (4.19).

Multiplying the first equation of (1.1) by and integrating over, we get (4.1).