Sentence examples for sum series from inspiring English sources

New closed-form expressions for the e2e outage performance of each transmitted stream are derived in terms of finite sum series of the Tricomi confluent hypergeometric function.

Polynomial neural networks can form and solve general differential equations, which allow to model real complex systems by means of substitution derivative term sum series.

Then optimal autoregressive integrated moving average (ARIMA) models are constructed for the sum series of each obtained cluster to forecast their respective future load.

The proposed DLC method constructs a forecasting model based on the smoothed sum series so that the modelling accuracy can be guaranteed to a certain extent, theoretically inferior to the direct method but better than the data-driven method.

Step 3: Construct new linear fitting models for sum series (Y_{j,t} = y_{k{hbox{max}},t} + y_{j,t},{kern 1pt} j = 1,2, ldots,N,j ne k), and calculate the corresponding RMS values of the fitting residual marked as U j.

Successes include the SUM series of 10 cell lines derived from either breast primary tumours, pleural effusions or various metastatic sites in individual patients [ 7].

We will see that if Ψ k (x) and Γ t) are properly chosen, the integrals in (9) reduce to a power-sum series which can be efficiently solved using Prony's method to recover the unknown source parameters.

Finally, the results are used as a basis to guide the choice of methods of summing series arising from problems in fluid mechanics.

Proof of Lemma 3.1 Recall the c.d.f expressed in the 'infinite-sum-series' form given in (11).

Consequently, the sum of series (35) is also compact in ℋ.

In order to match the boundary condition and the Burger's vector, first the sum of series is independent of.