local coefficient

local coefficient

[′lō·kəl ‚kō·i′fish·ənt]
(mathematics)
By using fiber bundles where the fiber is a group, one may generalize cohomology theory for spaces; one uses such bundles as the algebraic base for such a theory and calls the bundle a system of local coefficients.
References in periodicals archive ?
Wheeler and Tiefelsdorf (2005) showed that local coefficients may exhibit pairwise correlations between sets of local coefficients even when no correlation exists between the corresponding exogenous variables in the global model, although they also demonstrated that the correlations among locally weighted exogenous variables is an important factor behind local coefficient correlation.
Based on the algorithm ADAMS/Rail (N.N., 1998), we calculated local temperature and local coefficient of friction for values of traction curren of about 50 A and lesser time t= 10 ms.
The replenishment of free radiant energy to the aether-space by irradiation of Planck quanta at the velocity of light is, as seen from the aether equation, regardless of any local coefficient [rho]:
Provided in any application of GTR the [kappa]-term is defined with the parameters of a black body radiation of energy density u at the temperature [T.sub.Aether] in the actual finite physical aether space, and provided the local coefficient [rho] to the Einsteinian gravitational factor [chi] is estimated correct, the General Theory of Relativity may be applied to a first approximation.
The computation of the rows and columns corresponding to the aggregates, during the formation of the local coefficient matrices as well as the subdomain adjacency matrix, is reused to avoid recomputation.
For the ecology2 problem, the local coefficient matrices have reduced number of nonzero elements and hence PreTime is a small fraction of the Total-Time, not affecting the Total-Speedup curve, since the LU factorization requires reduced number of floating point operations.
However, it should be noted that the standard deviations of standardized coefficients were quite large, emphasizing the great difference between local coefficients in the GWR model and global coefficients in the MLR model.
Ruiz and Rebledo [9] developed various luminous efficacy models based on the Muneer and Kinghorn model by changing local coefficients and some independent variables.
The SHT version generates energy compaction up to order N, by steering the local coefficients into the direction of maximum energy.
Because [V.sup.i] and [V.sup.[alpha]] are components of a supervector field, so these are local coefficients of the superspray
Indeed, various experiments clearly show that smooth edges are efficiently represented by few local coefficients in the right directional subbands, leading to better representation of fine contours.
Let us consider on the 1-jet space E = [J.sup.1](R,M) the canonical nonlinear connection [??] associated to the pair of metrics ([h.sub.11](t), [[phi].sub.ij](x)), which is defined by the local coefficients (2.3).

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