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Reactions that share the same generalized reactants and the same generalized products, are considered equivalent and are factored together into a generalized reaction.
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This Fortran routine, named "K2ST", is based on the use of the generalized product -sum model, with nested structures, and appropriate space-time search neighborhoods.
In this paper, we introduce one of the most simple and efficient partition of unity, called the (generalized) product partition of unity.
Suppose that "generalized" product market neutrality holds.
Despite the additional complexity, Equation (37) yields three unambiguous results as long as there is generalized product market neutrality: 1.
For simplicity, suppose that "generalized" product market neutrality holds, so that the second term in both Equation (27) and Equation (37) vanishes24.
It is a nice way to define a generalized product between temperate distributions, which is continuous in fractional Sobolev spaces, and which yet does not make any sense for the usual product.
This paper introduces spatio-temporal kernel density estimation (stKDE) based on the concept of "generalized product kernels".
Ttraditional product kernels only allows the variables with the same data types, while this "generalized product kernels" relax this constraint by allowing different data types.
This study proposed a new idea of using so-called generalized product kernels to construct the stKDE to deal with spatio-temporal data of mixed data types.
In summary, this study demonstrates a new idea of generalized product kernels and to demonstrate the promising of stKDE and stRRF for describing the patterns of spatio-temporal disease risks by including the time dimension.
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