Sentence examples for measure representation from inspiring English sources
The following theorem deals with a geometric measure representation of continuous star-shaped distributions.
Based upon a geometric measure representation, an algorithm for simulating corresponding probabilities of rather arbitrary random events is derived.
Numerous types of applications of special cases of the geometric measure representation in Theorem 7 are surveyed in (Richter [2009], [2012]).
To measure representation of abstract (numeric) magnitude, independent of any content-specific information, a series of line estimation tasks were given.
A geometric measure representation of the standardized p-power exponential law applies to show that this distribution is the p-generalized Fisher or F n,n (p -distribution.
Alternatively, the geometric measure representation in Richter (2014) may be used to establish the exact distributions of several of these statistics, or at least to derive suitable approximations.
Geometric measure representations for ln,p-symmetric distributions, n ∈ ℕ, p > 0, and for heteroscedastic Gaussian distributions were derived in (Richter [2009], [2013]), respectively.
Along the same lines, Föllmer and Penner (2006) investigate the dynamic convex risk measures, representation of strong time consistency as a recursivity property, and they relate it to the Bellman principle of optimality.
This isn't a perfect way of measuring representation -- it makes a lot of assumptions about how these two measures compare to each other.
The report notes that "the lack of concrete data contributes to the invisibility, marginalization, and disempowerment of these communities," and prevents any moves to politicize the issue, including claims for "special measures, representation, or participation in policy making, development, employment, and equality of access to basic services".
These features, combined with broad applicability for several years have made molecular fingerprints one of the standard representations to measure molecular diversity among several other applications.
