Sentence examples for integrating equation from inspiring English sources

The total interfacial area (S) in the control volume is obtained by integrating equation (21) over the control volume (V).

Integrating equation (10) (by parts) with respect to t from zero to infinity, we have ∑ n = 0 ∞ S n ( b, s, x ) n !

Integrating equation (9), we obtain the following one-dimensional energy balance equation partial_{t} E(k) = T(k) + C(k) + epsilon(k).

Integrating equation (2) from early morning rush hour up to the time when the ozone concentration is highest leads to the following equation: O 3 max − O 3 min = ∫ t o t f R C k, T, t dt (3).

Integrating Equation (30) with respect to η and using the condition f η ( 0 ) ( 0 ) = 0, we get f η ( 0 ) = 1 − e − s 0 η s 0. (31).

First, integrating equation (1) with respect to x from 0 to 1 and using (3) and (4), we obtain p ( t ) = − E ′ ( t ) + ∫ 0 1 x F ( x, t ) d x + u x ( 1, t ) E ( t ).

In order to complete the proposed analogy, if reference is made to the integrating function of Equation 23, the thermal entropy according to Clausius formulation is as follows: d S T = δ Q HT T Open image in new window (25).

Thus the cumulative LE change due to a sequence of changes ΔD t) between t1 and t2 of the population-averaged relative risk is obtained by integrating Eq.4 (5) This equation for the population-averaged LE change is perfectly general, regardless of the causes of the death rate changes.

The development is especially important for integrating fluid dynamics equations on non-rectilinear meshes whenever face-normal advective mass fluxes are employed for transport compatible with mass continuity the latter being essential for flux-form schemes.

Apart from stratifying diabetic patients into different risk levels, equations integrating different patient's clinical parameters have been formulated to predict the diabetic patient's 5-year risk of coronary heart disease, stroke, end-stage renal disease, and all-cause mortality [ 12- 15].

Once the integrating factor for the equation is determined, it leads to a time-independent integral of motion for the first-order ordinary differential equation.