Sentence examples for multiplying the first from inspiring English sources

The salient feature in the quasi one-dimensional differential equation for annular fins of uniform thickness is without question the presence of the variable coefficient 1/r multiplying the first order derivative, dT/dr.

And remember the definition of dot product, well, the dot product of two vectors is obtained by multiplying the first component with the first component, the second with the second and so on and summing these and you get the scalar.

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

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).

Multiplying the first equation of (2.1) by and the second one by, adding the result, and noting, we have (2.13).

That's about $6.3 billion a year, multiplying the first-quarter figures by four.

In this method, the second-order bending moment is calculated by multiplying the first-order one by a magnification factor k that depends on the flexural stiffness EI and the equivalent moment distribution.

Multiplying the second inequality of (2.5) by, one gets (2.6).

Multiplying the second equation of (1.4) by and integrating it over, we obtain (4.11).

Secondly, multiplying the third equation of (1.6) by and integrating over, we have (4.18).