Sentence examples for using the previous result from inspiring English sources

Using the previous result, we get the following generalizations of Sherman's theorem for 2n-convex functions.

Using the previous result, we show the topological property of the operator J which will be needed in the main result of the next section.

Proof see Appendix 3. Using the previous result, one obtains the unique solution of (16), thus, the MSRL for model (1) is given by the following result: Result 4: The MSRL for the sum of P-order harmonic models with orthogonal known signal sources, is given by (26).

By using the previous result a max   = 1/t 0 it is possible to express the MDI in the alternative way MDI = t 0 a*.

By using the previous results we have the next result.

Finally, in this experiment, we also classified the gender of the subjects using the previous results at frame level.

The results of the zonal model have been validated using the previous results from the differential model as well as experimental measurements from heating tests with three different transformers under various power loads.

And the incremental mechanisms for updating rough approximations in IvIS are introduced, which carry out the computation using the previous results from the original data set along with new results.

Regarding the investigation of heat-transfer temperature, the 2NN MEAM gives the best results for harmonic and anharmonic properties for silver and for silicon using the previous results of the literature [32].

All conceivable random sequences from 4 bp to 7 bp in length were analyzed, although the results with 5-bp DNA sequences were mainly described to validate the novel ant algorithm using the previous results with the genetic algorithm.

Using the previous results, we can easily compute the log likelihood given the spectral decomposition by setting a=σ g and b=σ e : Since obtaining the spectral decomposition is also done in O(n), we can compute the spectral decomposition and use it for the likelihood calculations as well as for constructing the optimization problem for r with hardly any additional complexity cost.