Sentence examples for maximal lengths of from inspiring English sources

In the similar way, we obtain a precise bound of 127 645 on the maximal lengths of both multiplicative and completely multiplicative sequences of discrepancy 3. We also demonstrate that unrestricted discrepancy 3 sequences can be longer than 130 000.

Theoretical analyses also support the existence of intrinsic constraints on maximal lengths of neuronal arbors (Brown et al., 2008).

Since, in practice, signals are never perfectly periodic, we relax this constraint by assuming that, given a reference period T, the length of other periods may only vary by an estimated percentage α of the reference period such that the minimal and maximal lengths of the cycles are Tmin = (1 – α) T and Tmax = (1 + α) T, respectively.

Therefore, in order to obtain patterns with significant lengths, we have to maximize the number of cycles potentially containing an ETR of maximal length of Λ max.

Vegetation size is defined by the maximal length of its three spatial dimensions.

The diameter of a network is the maximal length of a shortest path between two points on varying the endpoints.

Since ƒ is monotone, this defines a chain, whose length cannot exceed the maximal length of chains on the given partial ordering.

The cellular automaton requires time proportional to the maximal length of a pattern match, and is inherently suited for distribution out on multiple processors.

A sequence of disjoint cycles C 1,..., C k is a chain of length k in case C 1 ⇒ ⋯ ⇒ C k. Let d 1 denote the maximal length of a chain of cycles in E, and let d 2 denote the maximal length of a chain of cycles each of which has an exit.

FP2 is a path fingerprint that indexes linear subgraphs with a maximal length of 7 atoms, FP3 is based on manually defined SMARTS patterns.

The soundnails had a maximal length of five seconds and were extracted from special sound effect collections using audio processing and machine learning schemes.