Sentence examples for length existed from inspiring English sources

Since the number of steps per simulation (50) is larger than the distances between all start-target pairs in the recommendation networks, these correspond to all start-target pairs between which a path of any length existed.

A complicated fault system developed on the northern side, whereas a larger fault structure on the order of 10 km in length existed on the southern side (Fig. 4).

Bohemia, as she explores at length, exists wherever someone is questioning accepted mores about family, sex, drugs, work, shopping and adulthood.

Since the measurement of angles is absolute, independent of any convention concerning the selection of units, it follows that an absolute unit of length exists.

By solving this optimization problem, it has been shown that an optimal reactor length exists.

The model would also predict that, under certain conditions, a characteristic length exists beyond which the fractal dimension is constant.

The results suggest that an optimum pre-crack length exists which would minimize the coating interface fracture.

From the results, it follows that an optimal reactor diameter (and length) exists for the single-lamp reactor (and for the multi-lamp reactor).

If the source and channel processes are stationary and the steady state queue length exists, then the workload process satisfies a Large Deviation Principle and the following steady state solution for the queue length exceeding is satisfied [13]: (10).

Specifically, based on the large-deviation theory and premise that the steady-state queue length exists, the probability of the queue length Q t) exceeding a certain threshold x decays exponentially fast as x increases [30], shown as begin{array}rcl@ - limlimits_{xrightarrow infty}frac{ln left text{Pr}left{Q infty geq xright}right)}{x} = theta.

Its 24 mile length exists entirely within Ionia and Montcalm counties.