Sentence examples for it tends to zero from inspiring English sources
Hence, it tends to zero, as β → ∞.
end{aligned} It tends to zero as (t_{2}rightarrow t_{1}).
The RMSE gives the deviation between the predicted and experimental values and it tends to zero for ideal models.
The axial stress of anchor decreases rapidly in anchorage segment, and it tends to zero within a short length under Wenchuan shaking event.
It follows from the proof of Theorem 1 that if x ( t ) satisfies (2.6), then (2.8) insures that it tends to zero at infinity.
Thus, it assumes a value of 100%% in the case of complete similarity, while it tends to zero as long as similarity declines.
Since θ is a lacunary sequence and f being modulus is increasing, the term on the right hand side of (4.4) is a regular weighted mean transformation of (t=(t_{r})), and therefore, it, too, tends to zero as (r toinfty).
This number of downloads achieves a peak and, after a certain time, it quickly reduces and tends to zero.
The latter can be proved by noticing, similarly to [21], that when the SNR tends to zero (, it is optimal to allocate all the available power around the maximum value of the channel transfer function, which occurs at In other words, the optimal waterfilling power allocation is, where is a Dirac delta function. Plugging into (6) and using tools from [21], equality (12) is easily shown.
end{aligned} From the condition (24), it follows that the last expression tends to zero as (nrightarrowinfty).
In this paper, the formula of general solution for nonlinear systems with Caputo-Hadamard fractional derivatives and impulsive effect is found by analysis of the limit case (as impulse tends to zero), and it shows that the deviation caused by impulse for the fractional-order nonlinear systems is undetermined.
