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For cosine coefficients that involve only even powers of n and sine coefficients that are functions of odd powers of n, the LK functions may be expressed in terms of Bernoulli polynomials.
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However, manual calculation methods for OTTV are involved functions with various variables and coefficients that need to be considered.
The intermittent motion behavior of the non-holonomic multibody system due to a finite number of impacts is predicted by using the generalized impulse-momentum equations that involve the coefficients of restitution and the constraint Jacobian matrices of the holonomic and non-holonomic constraints.
It is shown that the Triebel Lizorkin and Besov spaces induced by Laguerre expansions can be characterized in terms of respective sequence spaces that involve the needlet coefficients.
Greene and Knuth [[13], p.10] recorded six commonly used identities that involve both binomial coefficients and harmonic numbers, two of which are recalled here: (1.13) (1.13).
For systemic effects that involve transport by blood, DAFs utilize information on species differences (if any) in blood-air and blood-tissue partition coefficients.
Other parameterization techniques were designed for handling facies proportions; Ponsot-Jacquin et al. (2009) introduced a very simple and intuitive method that involves proportionality coefficients to drive the variations in the different facies proportions.
The uncertainty inequalities for Laguerre polynomials cannot be easily reduced to a form that involves only expansion coefficients.
This pattern is the precise opposite of market model regressions that involves returns; return coefficients are typically smaller for equally weighted markets, as smaller stocks will be more sensitive to the market.
We present the implementation of the Keller box method for a problem that involves coupling, nonlinearity, variable coefficients.
The intermediate values obtained in each row (actually the coefficients of the underlying equations) resulted from operations that involved only the numbers located in the rows below.
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