Sentence examples for performing integration from inspiring English sources
Proof Multiplying the first equation of (1.1) by u t and the second equation by v t, respectively, integrating the results over Ω, performing integration by parts and noting that F t ( u, v ) = f 1 ( u, v ) u t + f 2 ( u, v ) v t, we can easily get (3.1).
By performing integration we get the operational matrix for each individual function set.
In the third step, the received signal strength needs to be calculated from the power spectral density, which comes down to performing integration over the interval where the signal is transmitted in the frequency domain.
By performing integration to the instantaneous ionospheric contamination frequency f r (k), the ionospheric phase contamination function γ(k) is given as follows: begin{array}{*{20}l} gamma (k) = 2pi sum {{f_{r}}(k) cdot kT} end{array} (5).
(21) within a finite domain, Ω, in a standard manner by multiplying them with corresponding test functions and by performing integration by parts on the flux terms: {fontsize{8}{12}{begin{aligned} text{F}_{1} !&=! int_{Omega}! left(rho_{0} ddot u_{k} updelta u_{k},+, P_{rk} updelta u_{k,r}!
After performing integration over all the possible values of a k, n in each C M j constellation, we find that E [ | Y k, n | ∕ ε k, n = 1 ] = π 2 1 4 ∑ j = 1 4 1 M j ∑ p = 1 M j ∑ l σ h ( l ) 2 E s | c p | 2 + σ w 2, (56).
Recently, there is a trend on so-called integral invariants which reduce the noise-induced fluctuations by performing integrations [12, 13].
Because of performing integrations, we can avoid numerical differentiation which is a notoriously unstable process.
✓ Eventually integrate with upstream and downstream services and applications in order to perform integration and user acceptance testing activities.
To determine if PLE 1 Int is a functional LSR, we performed integration assays to probe the ability of Int to recombine the chromosomal attC and PLE attP sites.
We perform integration by part for the left-hand side of (48) and use (47).
