Sentence examples for the summation which from inspiring English sources

The evaluation results coincided with test results proved the summation which can be drawn from test results.

For (35), we only consider the dominant terms in the summation, which is similar with (18); then the PEP above can be written as P_{i}left tilde{x}_{k}neqhat{tilde{x}}_{k}|tilde{y}_{k}right)approx1-frac{1}{sum_{zin mathbb{tilde{D}}_{k}}expleft -{{overline{Lambda}}}_{k}}expleft -{{overline{}},tiLambda}tbf{y}},lambda_{k,z}left {bar{mathbf{C}}}

We use the parallel prefix scan algorithm to perform the weight summation which is often done serially before.

Using (6.1) and interchanging the order of the integration and summation, which is verified under the conditions in this theorem, we get mathcal{L}_{4} =x^{gamma}sum_{n=0}^{infty } frac{ ( eta ) _{nq,k}}{Gamma _{k} ( alpha n+beta ) ( delta ) _{pn,k}} int_{0}^{ frac{x}{a ( 1-sigma ) }} biggl[ 1-frac{ a ( 1-sigma ) t}{x} biggr] ^{frac{gamma }{1-sigma }}t^{frac{ beta }{k}+frac{rho }{k}-1},mathrm{d}t.

Taking the MSM differential operator on (2.5) and interchanging the differentiation and summation, which is verified under the conditions in this theorem, we have mathcal{L}_{2} =sum_{n=0}^{infty } frac{ ( eta ) _{nq,k}}{Gamma _{k} ( alpha n+beta ) ( delta ) _{pn,k}} bigl( D_{0+}^{lambda,lambda',xi,xi',gamma }t^{rho +n-1} bigr) ( x ).

This account makes no specific prediction about the pattern of results that will be obtained if no occasion setter is present, but instead appeals to the principles of Pavlovian summation – which, on the basis of prior work (Watt and Honey, 1997), we have taken to predict more responding on different trials.

Using (1.5) and changing the order of integration and summation, which is verified under the conditions of the theorem, we have begin{aligned} mathcal{I}=&sum_{n=0}^{infty} frac{mathcal{B}^{({kappa_{l}}_{lin mathbb{N}_{0}})}(lambda+n, 1-lambda; p)}{B lambda, 1-lambda)}frac {1}{Gamma xi n+zeta)} & times bigl(D^{tau, tau', upsilon, upsilon', sigma}_{0+}t^{mu +n-1} bigr) (x).

Judge Daniels ruled that since Smith was not a witness in the case, the chart should not include his testimony, but that Mr. Greene was free to cite the remark in his summation, which he did.

Since as sanctioned by the universality of mereological summation, which Lewis accepts Gerry is an object, Gerry is an impossible object.

Σ = Summation, which means the sum of every term in the equation after the summation sign.

Layer 5 Includes a signal fixed node labeled Σ with function of summation which computes the overall output of CANFIS network as the summation of all the incoming signals.