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Polynomial Properties The
"... use of polynomials plays an important role in systems and control theory. The Laplace transform of many signals results in a rational function, with a polynomial divided by a polynomial. The polynomial in the denominator determines a great deal about the time response of the system, including stabil ..."
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lie in the Left Half Plane (LHP). This approach relies on the use of an array, which may be computed as follows: where b 1 = −1 a n−1 c 1 = −1 b 1 a n a n−2 a n−1 a n−3 a n−1 a n−3 b 1 b 2 s n s n−1 s n−2 s 2 a n a n−2 a n−4 a n−6 a n−1 a n−3 a n−5 a n−7 b 1 b 2 b 3 b 4 k 1 s l 1 1 m 1, b 2 = −1 a n−1
Chromatic Polynomials and Rings in Species
"... Abstract. We present a generalization of the chromatic polynomial, and chromatic symmetric function, arising in the study of combinatorial species. These invariants are defined for modules over lattice rings in species. The primary examples are graphs and set partitions. For these new invariants, we ..."
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Abstract. We present a generalization of the chromatic polynomial, and chromatic symmetric function, arising in the study of combinatorial species. These invariants are defined for modules over lattice rings in species. The primary examples are graphs and set partitions. For these new invariants
Two Strikes Against Perfect Phylogeny
- PROC. OF 19TH INTERNATIONAL COLLOQUIUM ON AUTOMATA LANGUAGES AND PROGRAMMING
, 1992
"... One of the major efforts in molecular biology is the computation of phylo- genies for species sets. A longstanding open problem in this area is called the Perfect Phylogeny problem. For almost two decades the complexity of this problem remained open, with progress limited to polynomial time algor ..."
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Cited by 123 (28 self)
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One of the major efforts in molecular biology is the computation of phylo- genies for species sets. A longstanding open problem in this area is called the Perfect Phylogeny problem. For almost two decades the complexity of this problem remained open, with progress limited to polynomial time
EXISTENCE OF TURING INSTABILITIES IN A TWO-SPECIES
, 2001
"... Abstract. We introduce a two-species fractional reaction-diffusion system to model activatorinhibitor dynamics with anomalous diffusion such as occurs in spatially inhomogeneous media. Conditions are derived for Turing instability induced pattern formation in these fractional activatorinhibitor syst ..."
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Abstract. We introduce a two-species fractional reaction-diffusion system to model activatorinhibitor dynamics with anomalous diffusion such as occurs in spatially inhomogeneous media. Conditions are derived for Turing instability induced pattern formation in these fractional activatorinhibitor
On the Krall-type polynomials on q-quadratic lattices
"... In this paper, we study the Krall-type polynomials on non-uniform lattices. For these polynomials the second order linear difference equation, q-basic series representation and three-term recurrence relations are obtained. In particular, the q-Racah-Krall polynomials obtained via the addition of two ..."
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In this paper, we study the Krall-type polynomials on non-uniform lattices. For these polynomials the second order linear difference equation, q-basic series representation and three-term recurrence relations are obtained. In particular, the q-Racah-Krall polynomials obtained via the addition
A Fortran Computer Code Package For The Evaluation Of Gas-Phase, Multicomponent Transport Properties
, 1986
"... This report documents a Fortran computer code package that is used for the evaluation of gas-phase multicomponent viscosities, thermal conductivities, diffusion coefficients, and thermal diffusion coefficients. The package is in two parts. The first is a preprocessor that computes polynomial fits to ..."
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Cited by 111 (3 self)
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This report documents a Fortran computer code package that is used for the evaluation of gas-phase multicomponent viscosities, thermal conductivities, diffusion coefficients, and thermal diffusion coefficients. The package is in two parts. The first is a preprocessor that computes polynomial fits
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