Sentence examples for monotonically decreasing series from inspiring English sources

The calculated λ n can be ranked as monotonically decreasing series with index n.

However, if this is not the case, we can prune out protection levels for a specific substream so that the slope series is monotonically decreasing.

We tested this method on sets of simulated data (with presence of an effect of interest or not) representing a time series with a monotonically decreasing autocorrelation function.

In practice, to use Abel's test one begins with an infinite series and factors each term in the sequence in such a way that one of the factors produces a known convergent series and the other factor produces a monotonically decreasing sequence of positive numbers.

Starting with any known convergent series, say Σ an (i.e., a1 + a2 + a3 + ⋯), Abel proved that, for a sequence of monotonically decreasing positive numbers bn (i.e., b1 ≥ b2 ≥ b3 ≥ ⋯ > 0), the infinite series Σ anbn (a1b1 + a2b2 + a3b3 + ⋯) converges to some finite value.

As you can see, it is monotonically decreasing.

As shown in Fig. 5a, w1 was monotonically decreasing in the first 0.05 ns; then stabilized at about 2.5 J/m2.5

Moreover, the function ∂Nw/∂Nu ~ (Nu b−1 is a monotonically decreasing function for b < 1, demonstrating the decreasing marginal need for additional words as a corpora grows.

(mathrm{NEMS}) is strictly monotonically decreasing.

(2) They are both monotonically decreasing.

Furthermore, the sequence is monotonically decreasing in.