Sentence examples for matrices there is from inspiring English sources

By the Perron-Frobenius theorem on irreducible nonnegative matrices, there is a positive eigenvector x = ( x 1, x 2, …, x n ) T such that D B − 1 C B T x = ρ ( J ) x.

As it would require a large amount of signaling to enable perfect interference CSI in the MIMO case (estimates of the MIMO interference channels, received interference and signal covariance matrices), there is need for an approximate solution.

For the more general mixed interference channels, the capacity region is unknown and the achievable sum-rate expression is non-convex over the precoding matrices, there is no efficient algorithm available to find the optimal precoding matrices [15].

Now, by the above-mentioned continuity of the posterior distribution on the used event matrices, there is a δ>0 such that if the all the event matrices are within distance δ of the event matrix corresponding to the above-used initial guess (0,0), then the output of the modified forward backward algorithm will be within distance ε of (p1,p2).

For many vegetable and fruit matrices there is no real need to change to more advanced (and expensive) MS techniques, for example MS MS (which has limited scope) or accurate mass TOF-MS (which has a limited dynamic range).

Although children aged less than 16 are present in the inter-household contact matrix there is no significant assortativity among them, and most of the contacts and the total time spent in proximity are recorded between adults (aged 20-49).

For most analytes in the cooling water matrix there is also no significant difference in detector response compared with ultrapure water.

Therefore, due to the complexity of the food matrix there is a need for reliable analytical systems to measure the content, quality, activity, and safety of the final product.

According to Tennis and Jennings (2000), in hydrated cement matrix there are two distinct types of C S H with different densities, in one type the nitrogen molecules can enter and in another type they can not.

They, however, state that in complex matrices there was low correlation between A. acidoterrestris numbers and Ct values.

Because W ̲ is block diagonal matrices, there are many zero elements in vec ( W ̲ ), which do not contribute to the calculation of (30).