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Articles 1 - 4 of 4

Full-Text Articles in Mathematics

Intersecting Families And Definability, Andrés Caicedo Sep 2008

Intersecting Families And Definability, Andrés Caicedo

Andrés E. Caicedo

No abstract provided.


A Symbolic Operator Approach To Power Series Transformation-Expansion Formulas, Tian-Xiao He Jun 2008

A Symbolic Operator Approach To Power Series Transformation-Expansion Formulas, Tian-Xiao He

Tian-Xiao He

In this paper we discuss a kind of symbolic operator method by making use of the defined Sheffer-type polynomial sequences and their generalizations, which can be used to construct many power series transformation and expansion formulas. The convergence of the expansions are also discussed.


Intrinsic Linking And Knotting Are Arbitrarily Complex, Ramin Naimi, Erica Flapan, Blake Mellor Dec 2007

Intrinsic Linking And Knotting Are Arbitrarily Complex, Ramin Naimi, Erica Flapan, Blake Mellor

Ramin Naimi

We show that, given any $n$ and $\alpha$, every embedding of any sufficiently large complete graph in $\mathbb{R}^3$ contains an oriented link with components $Q_1$, ..., $Q_n$ such that for every $i\not =j$, $|\lk(Q_i,Q_j)|\geq\alpha$ and $|a_2(Q_i)|\geq\alpha$, where $a_{2}(Q_i)$ denotes the second coefficient of the Conway polynomial of $Q_i$.


Characterization And Properties Of Matrices With K-Involutory Symmetries, William F. Trench Dec 2007

Characterization And Properties Of Matrices With K-Involutory Symmetries, William F. Trench

William F. Trench

No abstract provided.