The Taylor quadrature method with constant weight function

2020 ◽  
Author(s):  
Ch. Mahesh ◽  
J. Sucharitha
Keyword(s):  
Weight Function ◽  
Quadrature Method ◽  
Constant Weight

A Variable Weight Function Model in Geological Variables Function Research

2013 ◽  
Vol 785-786 ◽  
pp. 1423-1429
Author(s):  
Wen Bo Liu ◽  
Lai Jun Liu
Keyword(s):  
Weight Function ◽  
Mineral Resources ◽  
Process Variable ◽  
Mathematics Model ◽  
Constant Weight ◽  
Connection Degree ◽  
State Variable ◽  
Variable Weight ◽  
The Status ◽  
Constant Coefficients

In mineral resources prediction and other research of geological variables, stability exactness of quantitative models concern modeling conditions, geological variables from model and the status of the variable. In traditional geological modeling process, variable support is measured under some contrains weight and this kind of weight is characterized by constant coefficients. Constant weight[1] has some limitations due to structuredness and dependency of variable. For overcoming the inflexibility of constant weight, this paper proposes geological variable mathematics model basedd state variable vector. We revise existing form of state variable weight and provide logarithm state variable vector as measurement level of geological variable weight coefficients. According to 1:200000 scale geochemistry measured data from Baishan area, we calculate the samples unit connection degree based on exponent and logarithm state variable vector and compare the connection degree based on constant weight. The connection degree sorting has the similarity as a whole among them, but there is the obvious difference locally. We can conclude that geological variable weight function based on state variable vector is more flexible and fine.

scholarly journals Resistance distances on networks

2017 ◽  
Vol 11 (1) ◽  
pp. 136-147 ◽  
Author(s):  
A. Carmona ◽  
A.M. Encinas ◽  
M. Mitjana
Keyword(s):  
Weight Function ◽  
Main Idea ◽  
Effective Resistance ◽  
Positive Parameter ◽  
Resistance Distance ◽  
Constant Weight ◽  
Vertex Set ◽  
Weighted Paths ◽  
Lowest Eigenvalue

This paper aims to study a family of distances in networks associated with effective resistances. Specifically, we consider the effective resistance distance with respect to a positive parameter and a weight on the vertex set; that is, the effective resistance distance associated with an irreducible and symmetric M-matrix whose lowest eigenvalue is the parameter and the weight function is the associated eigenfunction. The main idea is to consider the network embedded in a host network with additional edges whose conductances are given in terms of the mentioned parameter. The novelty of these distances is that they take into account not only the influence of shortest and longest weighted paths but also the importance of the vertices. Finally, we prove that the adjusted forest metric introduced by P. Chebotarev and E. Shamis is nothing else but a distance associated with a Schr?dinger operator with constant weight.

The 3-point quadrature rules with constant weight function

2018 ◽  
Vol 13 (02) ◽  
pp. 2050041
Author(s):  
Ch. Mahesh
Keyword(s):  
Continuous Function ◽  
Weight Function ◽  
Quadrature Rules ◽  
Polynomial Fitting ◽  
Constant Weight ◽  
Composite Type ◽  
Derivative Type

In this paper, we present all types of 3-point quadrature rules on continuous function on interval [Formula: see text] with constant weight function and compare there with the composite type also. All 3-point (open and closed) rules are taken from available papers and some new results like non-polynomial fitting and derivative type are introduced. Also, differences, comparisons, and errors between method procedures have been shown.

On the Form of Decision Weight Function

2002 ◽  
Author(s):  
Shyhnan Liou ◽  
Chung-Ping Cheng
Keyword(s):  
Weight Function
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