An equation for the convolution of a Lorentzian Raman line with a triangular slit function is analytically solved to consider the difference between the two equations for the correction of the finite slit width effect on Raman linewidths, derived by Dijkman and Van Der Maas and by Tanabe and ...
Algebra is the division of math concerned with operations and relations. Its areas of focus range from solving equations and inequalities to graphing functions and polynomials. Algebra's complexity grows with increasing variables and operations, but it starts its foundation in linear equations and inequ...
Nevanlinna’s value distribution theory of meromorphic functions has been widely applied to investigate the solvability and existence of entire or meromorphic solution of complex differential equations, difference equation and differential-difference equations. Proving the existence of entire or meromorphic solu...
We notice that these functions are bounded between 1 and — 1 and that the squarer forms correspond to the larger values of α. In addition to these properties, one observes that all functions represented apparently have the same period of 4. This independence of period from α, however, ...
I am basically looking to do the opposite of what a computer programmer does to functions. Not sure you understood my post, or maybe I still do not understand what you are trying to do. It's fairly straightforward from the equations given. Replacing the differential operator Δ by the inf...
What is the difference between ordinary differential equations and partial differential equations?Differential Equations:An equation involving ordinary derivatives or partial derivatives of one or more dependent variables with respect to one or more independent variables is known as a...
These lecture notes cover the number system, functions, derivatives, special functions, limits, continuity, differentiation, definite integral, techniques of integration, improper integrals, ordinary differential equations, sequences, series, etc.
Estimates for the difference between exact and approximate solutions of parabolic equations on the basis of Poincaré inequalities for traces of functions on the boundaryESTIMATESPARABOLIC differential equationsMATHEMATICAL inequalitiesBOUNDARY value problems...
Chapters and Articles You might find these chapters and articles relevant to this topic. Chapter Game Theory VI.A Noncooperative Games The main difference between n-person and 2-person games lies in the fact that, for n ≥ 3, players generally have a choice of coalitions to join. In the ...
Finally, in Appendix A, we provide details of previous research into difference calculus and difference equations in the complex domain, as well as the theory of entire functions related to the order of growth and interpolation. Theorem 1.1 has a deep connection with the classical results obtained...