Sentence examples for notion of length from inspiring English sources

More generally, a Hilbert space in the broad sense can be defined to be a (real or complex) vector space with an inner product that makes it complete, as well as determining a norm a notion of length subject to certain constraints.

The empirical determination of the spacetime metric by measurement requires choice of some "metrical indicators": this can only be done by laying down a coordinative definition stipulating, e.g., that the metrical notion of length is coordinated to some physical object or process.

The most widely accepted solution to this problem makes use of a slightly different (and slightly technical) notion of length, known as "generalized affine length".[1] Unlike proper length, this generalized affine length depends on some arbitrary choices (roughly speaking, the length will vary depending on the coordinates one chooses).

Note that in the DG category C h the two notions of length are equal.

This motivates the notion of discounting length of a path from j to i in g, which is the number of weak links in it.

In order to discuss the upper bound, we introduce a notion of characteristic length associated to a specific level set of the correlations (1), intrinsically related to the task of detection of positions and local orientations.

The simplest notion of distance between two nodes in a network is the length of the shortest path between them.

In this paper we define a measure of security, called sequence diversity, which generalizes the notion of cycle-length for noniterative generators.

Given a function S i, j) defining the matching score for A i and B j and using g as the score for a gap, we have: (2) This recursion is generalized to allow using a PO-MSA instead of one of the sequences by replacing the notion of 'prefix of length i' with 'path leading up to node A i '.

The notion of effective bond length (L eff ) of an interface is widely assumed as the length beyond which the debonding (or maximum) load cannot increase with the increase of the bond length.

It is based upon a process migration mechanism, and the notion of CPU-queue length which indicates the workload at each processor.