Sentence examples for result can be given from inspiring English sources

The general decay result can be given in the following theorem.

Based on the above assumptions, our main result can be given as follows.

A similar result can be given in a bounded metric space where the convexity structure defined by the class of admissible subsets is compact.

Using POSP, the result can be given as S t, f, t 0 T, r 0 T = σ ( t 0 T, r 0 T ) · rect t - t 0 T T s · rect f k · T p · exp - jπ f 2 k · exp - j 2 π f + f 0 t d t, t 0 T, r 0 T, (24).

After some tedious algebra manipulations, the corresponding result can be given as ψ 0 L f a, f, 0, r 0 = - π f 2 k - 2 π f + f 0 c × r 0 + r 0 R r 0 - r 0 d - f a 2 c 2 r 0 r 0 d 2 v 2 r 0 d - r 0 f + f 0 2 (41).

Then, the FrFT with a rotation angle α d performs on the output vector in (16), and the result can be given by mathbf{X} u)={displaystyle sum_{q=1}^Q{displaystyle sum_{i=1}^{N_q}{beta}_{qi}{e}^{-j2pi {f}_q{ cos}^2{alpha}_d{v}_{qi}}{mathbf{A}}_qleft {theta}_q+{tilde{theta}}_{qi}right){S}_q^{alpha_d} u)}+mathbf{N} u)} (18).

On the other hand, we see that the interval is bounded and closed, and also f is continuous on it, so these results can be given in the uniform sense.

In this paper, we show that their results can be given as corollaries of our non-hermitian extensions of Heisenberg type or Schrödinger type uncertainty relations for the generalized metric adjusted skew information or generalized metric adjusted correlation measures which were obtained in Furuichi and Yanagi (J. Math. Anal. Appl. 388 1147-1156, 2012).

No synthesis of study results can be given.

The non-commercially available cell lines have also been tested and the STR loci results can be given on request.

As all studies have described a distinct study population, no synthesis of study results can be given.