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Generating functions for the Bernstein polynomials: A unified approach to deriving identities for the Bernstein basis functions
Bernstein polynomials generating function Szasz-Mirakjan basis functions
2011/2/28
The main aim of this paper is to provide a unified approach to deriving identities for the Bernstein polynomials using a novel generating function. We derive various functional equations and different...
A general framework for deriving integral preserving numerical methods for PDEs
general framework deriving integral preserving numerical methods PDEs
2010/12/8
A general procedure for constructing conservative numerical integra-tors for time dependent partial dierential equations is presented. In particular, linearly implicit methods preserving a time avera...
Deriving operational equations
Deriving equations
2010/9/10
The four-point rectangular data array has traditionally been represented by the bilinear
equation. A quadratic equation for the design can be developed with or without the
shifting operator. The met...
A CHARACTERIZATION OF GENERALIZED FRAME MRAs DERIVING ORTHONORMAL WAVELETS
orthonormal wavelets generalized frame MRA non-MRA wavelets
2007/12/12
In 2000, Papadakis announced that any orthonormal wavelet must be derived by a generalized frame MRA (GFMRA). In this paper, we give a characterization of GFMRAs which can derive orthonormal wavelets,...
Pseudo-invariant Eigen-operator for Deriving Energy-Level Gap for
Jaynes-Cummings Model
pseudo-invariant eigen-operator method Jaynes-Cummings model energy gap
2007/8/15
2006Vol.45No.2pp.255-258DOI:
Pseudo-invariant Eigen-operator for Deriving Energy-Level Gap for
Jaynes-Cummings Model
FAN Hong-Yi1,2 and DA Cheng3
1 Department of Physics...