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A Note on the Nonparametric Least-squares Test for Checking a Polynomial Relationship
ocal polynomial fitting polynomial regression
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2007/12/10
Recently, Gijbels and Rousson suggested a new approach, called nonparametric least-squares test, to check polynomial regression relationships. Although this test procedure is not only simple but also ...
ON THE CONSTRUCTION OF GROEBNER BASIS OF A POLYNOMIAL IDEAL BASED ON RIQUIER-JANET THEORY
Polynomial ideal differential ideal well
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2007/12/10
摘要 As a consequence of a previons study of algebraic differential geometry(see [WU1]) there may be associated to certain special kinds of differential ideals some well-behaved basis enjoying some well...
THE MINIMAL CHARACTERISTIC BASIS OF A POLYNOMIAL IDEAL
Characteristic set Basic set Minimal c
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2007/12/10
摘要 The concept of minimal characteristic basis(abbr. char basis) of a polynomial ideal is presened to give the uniqueness of the char basis of an ideal. For the prime ideal, we give an algorithmto con...
Characteristic set method for differential-difference polynomial systems
Characteristic set Differential and difference polynomial Regular ascending chain Irreducible ascending chain Zero decomposition algorithm Perfect ideal membership problem
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2013/9/9
In this paper, we present a characteristic set method for mixed differential and difference polynomial systems. We introduce the concepts of coherent, regular, proper irreducible, and strongly irreduc...
Characteristic Set Method for Dierential-Dierence Polynomial Systems
Characteristic set dierence and dierential polynomial coherent ascending chain regular ascending chain irreducible ascending chain zero decomposition algorithm
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2013/9/9
In this paper, we present a characteristic set method for mixed dierence and dierential polynomial systems. We introduce the concepts of coherent, regular,proper irreducible, and strong irreducible as...
A Unified Model of All Generalizations from the Jones Polynomial
Jones polynomial skein relation tangle algebra recursion formula
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2007/8/15
2001Vol.35No.4pp.431-434DOI:
A Unified Model of All Generalizations from the Jones Polynomial
QIAN Shang-Wu1 and GU Zhi-Yu2
1 Department of Physics, Peking University, B...
Analytic Expression of Arbitrary Matrix Elements for Boson
Exponential Quadratic Polynomial Operators
Boson exponential quadratic polynomial operator matrix element
P representation partition function of Boson quadratic polynomial system
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2007/8/15
2007Vol.47No.1pp.41-44DOI:
Analytic Expression of Arbitrary Matrix Elements for Boson
Exponential Quadratic Polynomial Operators
XU Xiu-Wei, REN Ting-Qi, LIU Shu-Yan, MA Qiu-Ming,...
A Polynomial Expansion Method and
New General Solitary Wave Solutions to KS Equation
KS equation solitary wave solution
polynomial expansion method
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2007/8/15
2003Vol.39No.6pp.641-642DOI:
A Polynomial Expansion Method and
New General Solitary Wave Solutions to KS Equation
PENG Yan-Ze
Laboratory of Pure and Applied Mathematics,...
AN INVESTIGATION OF THE POLYNOMIAL FORFORWARD ANALYSIS OF A FLORIDA PLATFORM
Florida platform forward analysis poly
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2007/8/7
The forward analysis of a Florida platform is presented. The degree of the resulting polynomial is studied in detail. The computation is carried out using computer algebra system MAPLE V.
EFFICIENCY OF ESTIMATION OF FIXED POLYNOMIAL EFFECTS IN MIXED MODELS BASED ON PBIB DESIGN
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2007/8/7
In this paper,the main emphasis of the proposed discussion is on the efficiency of estimation of fixed polynomial effects in mired models based on PBIB (partially balanced incomplete block) design. We...
AN ELIMINATION METHOD FOR DIFFERENTIAL POLYNOMIAL SYSTEMS I
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2007/8/7
This is the first in a series of papers describing an elimination method for differential (abbr. d-) polynomial systems. We present two mds algorithms, one with and the other without projection, for d...
A HYBRID POLYNOMIAL ALGORITHM FOR LINEAR PROGRAMMING
Linear programming scaling algorithn po
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2007/8/7
We propose a "long step" double scaling algorithm. Its local performance has been compared with those of potential-reduction algorithms. On the basis of this analysis, we introduce a polynomial algori...
ON A LINEAR EQUATIONS METHOD OF NONLINEAR POLYNOMIAL EQUATIONS-SOLVING
Equations-solving nonlinear methods cha
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2007/8/7
A method for solving nonlinear polynomial equations is given which avoids the appearance of redundant factors as in the previous characteristic set method developed by the present author. The new meth...
A POLYNOMIAL ALGORITHM FOR FINDING A BUMP OPTIMAL EXTENSION OF AN ORDERED SET
Bump number linear extension algorithm o
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2007/8/7
A polynomial algorithm for finding a linear extension of an ordered set which has the minimum bumps is presented.
ON CONSTRUCTING THE NATURAL EXPONENTIAL FAMILIES WITH POLYNOMIAL VARIANCE FUNCTIONS
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2007/8/7
In this paper, we discuss the regular exponential family(REF), a natural exponentialfamily with minimum dimension and with the mean function m=E_θX taken as a new parameter. We point out the importanc...