Finally, the solvation free energy function needs to be decomposed into enthalpy and entropy terms.
Organic fertilizers have to be decomposed.
In various applications to physical problems, a function can be decomposed into physically meaningful eigenfunctions of a differential operator (typically the Laplace operator): this forms the foundation for the spectral study of functions, in reference to the spectrum of the differential operator.
The main goal is to study under which conditions such a function can be decomposed as, where the components are extendable to two-sided -monogenic functions in the interior and the exterior of, respectively.
The main goal is to study under which conditions such a function can be decomposed as, where the components are extendable to -monogenic functions in the interior and the exterior of, respectively.
Afterwards, in an input orientation context, the likelihood function can be decomposed into two according to Bayes rule (3), and then, efficiency can be computed (4, 5, 6).
We are now in the possibility to treat the H-monogenic decomposition problem; it means to study under which conditions a given matrix function can be decomposed as (5.1).
In the present paper, we consider Hölder continuous circulant matrix functions defined on the fractal boundary of a domain in, and we investigate under which conditions such a function can be decomposed as, where the components are extendable to -monogenic functions in the interior and the exterior of, respectively.
In this paper, we consider Hölder continuous circulant matrix functions defined on the Ahlfors-David regular boundary of a domain in, and we investigate under which conditions such a function can be decomposed as, where the components are extendable to two-sided -monogenic functions in the interior and the exterior of, respectively.
