The correctness of the algorithm above is given by the following claims: every element in D is the target of some hyperpath or is part of the source, and every vertex in H that can be reached from the source is in D. For the first claim we can give a constructive proof by using the output vector F, the second claim is proved by contradiction.
Using output response ensembles only, the generalized eigenvalue problem is formed to estimate eigenfrequencies and modal vectors for an eight-degree-of-freedom lightly damped vibratory system.
3. Conserved k-mer Counts The feature vectors created here are made by using the output of the PhastCons algorithm [ 219, 220] combined with k-mer counting and a customized weighting scheme.
An example: STMicroelectronics has introduced chips, based on ARM designs, meant to make three-phase motors more efficient by using vector calculations to control their speed.
Although mechanical dispersal of pathogens is technically difficult, there is a very easy way to infect a large population by using a human vector infected with a virus.
The output noise power (17), as well as the mean and the variance, can be expressed more compactly by using vectors,, and matrix as shown in (19)–(23).
The industry gross output, respectively, value-added vectors are deflated by using the corresponding gross output, respectively, value-added price index.
At each k th channel, the estimated symbol vector x ¯ k, D is generated by using each MMSE de-spreading vector w ¯ k from (15) to yield a de-spread signal vector of x ¯ ̂ k T = w ¯ k H R k and an estimated bit stream u ¯ k, D. The decoded bit vector u ¯ k, D is re-coded at the receiver and re-modulated to regenerate the transmit symbol vector x ¯ k, D at the output of the decision device.
When input and output prices are available, evaluating that profit efficiency is contained in producing an output vector y using an input vector x at maximum profit.
