We propose for the first time a novel converging sequence of continuous approximations to the number concentration function as a solution to the population balance equation (PBE).
For example, Demailly [43] characterized the pluricomplex Green function as a solution to the Monge Ampère equation with point-mass on the right-hand side.
Science, in Popper's view, starts with problems rather than with observations it is, indeed, precisely in the context of grappling with a problem that the scientist makes observations in the first instance: his observations are selectively designed to test the extent to which a given theory functions as a satisfactory solution to a given problem.
An alternative approach is to directly compute the probability density function (PDF) as a solution of the chemical master equation (CME).
For example, Methanococcus jannaschii encodes a unique SSB protein, homologous to eukaryotic RPA70 that functions as a monomer in solution (Kelly et al. 1998).
The principle innovation is that, the present SBFEM model chooses Hankel function as a base solution for the unbounded sub-domain, while a power series is used for the internal bounded sub-domains.
While it may need other components to function as a full solution, this can be a backbone for many new device concepts.
where the positive even function is chosen as a solution to the basic difference equation (1.19).
The Riemann-Hadamard function has the following properties [5]: 1. B ( ξ, η ; ξ 0, η 0 ) as function is a solution equation to the conjugate equation L 0 ∗ ( z ) = z ξ η + λ 4 z = 0 and as a function ( ξ 0, η 0 ) is a solution's characteristic equation L 0 ( z ) = z ξ η + λ 4 z = 0 ; 2.
The function δ is constructed as a solution of certain Dirichlet problem in.
The ligand association constant thereby becomes a function of k+ and kon as a solution to combined diffusion and chemical reaction equations.
