Sentence examples for by the exponential sequence from inspiring English sources

By the exponential sequence (H^1(U^0, {mathcal {O}}^*_Y) cong H^1(U^0, {mathcal {O}}_Y)), which is a vector space hence has no torsion elements except the trivial one.

If the CFO is moderate, for example, in CFO tracking scenarios, or the subchannel signal modulation is robust, then the offset compensation can be performed subchannel-wise, as sketched in Figure 3(a) with the multiplication by the complex exponential sequence that undoes the frequency shift:.

It is done by stimulating the estimator with complex exponential sequence ((phantom {dot {i}!}e^{jk omega _{0}}), where ω 0 is fundamental angular frequency) as: left{ begin{array}{ll} H z)=frac{hat {P} z)}{S z)} & z=e^{jkomega_0 }& {-infty

Similarly, the solution to the discrete-time version has the form of exponential sequences.

The friction phenomenon is modelled by the exponential model.

Tw p by the exponential tilting transformation.

It differs from XSc6mekl by by using the exponential of the 6th order Chebyshev polynomial.

It differs from XSc6vmekl by by using the exponential of the 6th order Chebyshev polynomial.

Interestingly, with appropriate weighting coefficients, the exponential reproducing window sequences can be synthesized to a simple exponential function.

The exponential increase in sequencing abilities is modifying the way genetic diversity is assessed.

With the exponential increase in protein sequence data, this is becoming a major bottleneck to computation.