Sentence examples for x scales from inspiring English sources

The arrival time T x) at position x scales as (T x)−x)∝xdf, where df is the fractal dimension of Cantor set.

In the above theorems, the role of the mutual coherence μ is crucial as the number of measurements needed to reconstruct x scales quadratically with its value.

This is justified to some extent in Fig. 3C (and 3G for the Earth network)—the k-scaling of S and X is similar, so S – X scales like S (and thus the arguments above still hold).

That S (and thus S – X) scales like X is also true for the atmospheric network (Fig. 3G), which explains that the shape of Fig. 1B is to a large degree determined by K (so the hump shape of p(K) gives a hump-shaped p k)).

Indeed, the data threshold necessary to extract X scales as ∼ k s log(s(s−1)/2+2 s), which is less than s log p as long as k log(s(s−1)/2+2 s)< log p. The process for extracting X, which is equivalent to fitting the full nonlinear model in (7), is as follows: Step 1. Run CS on (y, g ) data, using linear model (8 ).

Continuity Test Light and Ohm Meter Method Set the ohm meter to Ohms (R x 1 or R x 10 scale) / Turn the continuity tester on.

Had the R x 10 scale been selected, 150 would have been 1,500.

It also makes the window function f(x) scale upwards or downwards which helps create a family of distinct curves.

Table 1 Properties of the outer product Property Meaning Anti-symmetry (x ʌ y) = − (y ʌ x) Scaling x ʌ (γy) = γ(x ʌ y) Distributivity x ʌ (y + z) = (x ʌ y) + (x ʌ z) Associativity x ʌ (y ʌ z) = (x ʌ y) ʌ z.

After averaging the absolute values of the note errors in each melody (to account for negative and positive errors canceling each other out), the three-way repeated-measures ANOVA [group x time x scale (50 c versus 100 c melodies)] performed on the absolute error measure in mel50 and mel100 tasks revealed only a significant time-by-scale interaction [F 1,17) = 6.85, p<0.05].

We note that although the bacterial concentration must be transformed to the ln x scale for use in the model, the concentration and parameter set are transformed afterwards to the more usual log10 x scale in all of our results.