Expedited Microbial/Disinfection By-product Rules Defined

1997 ◽  
Vol 89 (9) ◽  
pp. 20-24 ◽  
Author(s):  
Frederick W. Pontius
Keyword(s):  
Product Rules

Separated Product Rules for High and Low Frequencies in Isotopic Molecules

1976 ◽  
Vol 9 (11) ◽  
pp. 801-808 ◽  
Author(s):  
A. J. P. Alix ◽  
B. N. Cyvin ◽  
S. J. Cyvin
Keyword(s):  
Low Frequencies ◽  
Product Rules

HIGH ORDER ERROR CONSTANTS OF CLENSHAW-CURTIS PRODUCT RULES

Analysis ◽  
1994 ◽  
Vol 14 (1) ◽  
pp. 1-18
Author(s):  
Knut Petras
Keyword(s):  
High Order ◽  
Order Error ◽  
Product Rules

On divided difference operators in function algebras

2008 ◽  
Vol 41 (2) ◽  
Author(s):  
Piotr Multarzyński
Keyword(s):  
Divided Difference ◽  
Difference Operators ◽  
Difference Quotient ◽  
Partial Difference ◽  
Function Algebras ◽  
Definition Of ◽  
Product Rules ◽  
Set Of Points ◽  
Tension Structure

AbstractIn this paper we study divided difference operators of any order acting in function algebras. In the definition of difference quotient operators we use a tension structure defined on the set of points on which depend the functions of the algebras considered. In the paper we mention the oportunity for partial difference quotient operators as well as for some purely algebraic definition of divided difference operators in terms of the suitable Leibniz product rules.

scholarly journals ORTHOGONAL RATIONAL FUNCTIONS AND INTERPOLATORY PRODUCT RULES ON THE UNIT CIRCLE

Analysis ◽  
2000 ◽  
Vol 20 (2) ◽  
pp. 99-120 ◽  
Author(s):  
A. Bultheel ◽  
P. González-Vera ◽  
E. Hendriksen ◽  
O. Njåstad
Keyword(s):  
Unit Circle ◽  
Rational Functions ◽  
Orthogonal Rational Functions ◽  
Product Rules

scholarly journals Littlewood–Richardson coefficients for Grothendieck polynomials from integrability

2019 ◽  
Vol 2019 (757) ◽  
pp. 159-195 ◽  
Author(s):  
Michael Wheeler ◽  
Paul Zinn-Justin
Keyword(s):  
Baxter Equation ◽  
Partition Functions ◽  
Vertex Model ◽  
Structure Constants ◽  
Product Rules ◽  
Grothendieck Polynomials

AbstractWe study the Littlewood–Richardson coefficients of double Grothendieck polynomials indexed by Grassmannian permutations. Geometrically, these are the structure constants of the equivariant K-theory ring of Grassmannians. Representing the double Grothendieck polynomials as partition functions of an integrable vertex model, we use its Yang–Baxter equation to derive a series of product rules for the former polynomials and their duals. The Littlewood–Richardson coefficients that arise can all be expressed in terms of puzzles without gashes, which generalize previous puzzles obtained by Knutson–Tao and Vakil.

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