Results 61 to 70 of about 248,011 (369)

Durfee Polynomials [PDF]

open access: yesThe Electronic Journal of Combinatorics, 1998
Let ${\bf F}(n)$ be a family of partitions of $n$ and let ${\bf F}(n,d)$ denote the set of partitions in ${\bf F}(n)$ with Durfee square of size $d$. We define the Durfee polynomial of ${\bf F}(n)$ to be the polynomial $P_{{\bf F},n}= \sum |{\bf F}(n,d)|y^d$, where $ 0 \leq d \leq \lfloor \sqrt{n} \rfloor.$ The work in this paper is motivated by ...
E. Rodney Canfield   +2 more
openaire   +2 more sources

Long‐Term Follow‐Up of Chemotherapy‐Associated Biological Aging in Women With Early Breast Cancer

open access: yesAging and Cancer, EarlyView.
Women threated with adjuvant chemotherapy for early breast cancer have sustained long‐term increase in p16INK4a,, a robust marker of cell senescence, suggesting a chemotherapy‐associated age acceleration. p16INK4a as well as other biomarkers may identify patients at greatest risk for senescence‐related diseases of aging.
Hyman B. Muss   +12 more
wiley   +1 more source

How not to secure wireless sensor networks: a plethora of insecure polynomial‐based key pre‐distribution schemes

open access: yesIET Information Security, 2021
Three closely related polynomial‐based group key pre‐distribution schemes have recently been proposed, aimed specifically at wireless sensor networks.
Chris J Mitchell
doaj   +1 more source

A Unique Representation of Cyclic Codes over GR(pn,r)

open access: yesAxioms, 2022
Let R be a Galois ring, GR(pn,r), of characteristic pn and of order pnr. In this article, we study cyclic codes of arbitrary length, N, over R. We use discrete Fourier transform (DFT) to determine a unique representation of cyclic codes of length, N, in ...
Sami Alabiad, Yousef Alkhamees
doaj   +1 more source

Integral zeroes of Krawtchouk polynomials [PDF]

open access: yes, 2012
This thesis was submitted for the degree of Master of Philosophy and awarded by Brunel University.Krawtchouk polynomials appear in many various areas of mathematics starting from discrete mathematics (e.g., in coding theory), association schemes, and in ...
Alenezi, Ahmad M
core  

The Relationship Between Semiclassical Laguerre Polynomials and the Fourth Painlevé Equation [PDF]

open access: yes, 2013
We discuss the relationship between the recurrence coefficients of orthogonal polynomials with respect to a semiclassical Laguerre weight and classical solutions of the fourth Painlevé equation. We show that the coefficients in these recurrence relations
Clarkson, Peter   +3 more
core   +1 more source

Baseline Regional Cholinergic Denervation Predicts Cognitive Trajectories in Moderate Parkinson Disease

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Cognitive decline is a disabling and variable feature of Parkinson disease (PD). While cholinergic system degeneration is linked to cognitive impairments in PD, most prior research reported cross‐sectional associations. We aimed to fill this gap by investigating whether baseline regional cerebral vesicular acetylcholine transporter ...
Taylor Brown   +6 more
wiley   +1 more source

Memory‐constrained implementation of lattice‐based encryption scheme on standard Java Card platform

open access: yesIET Information Security, 2021
The lattice‐based encryption scheme has high efficiency and reliability, and it can be run on small devices with limited memory capacity and computational resources such as sensor nodes or smart cards.
Ye Yuan   +4 more
doaj   +1 more source

On the Practicality of the Analytical Solutions for all Third- and Fourth-Degree Algebraic Equations with Real Coefficients

open access: yesMathematics, 2023
In order to propose a deeper analysis of the general quartic equation with real coefficients, the analytical solutions for all cubic and quartic equations were reviewed here; then, it was found that there can only be one form of the resolvent cubic that ...
Mauricio Chávez-Pichardo   +4 more
doaj   +1 more source

Contractions of 2D 2nd Order Quantum Superintegrable Systems and the Askey Scheme for Hypergeometric Orthogonal Polynomials [PDF]

open access: yes, 2013
We show explicitly that all 2nd order superintegrable systems in 2 dimensions are limiting cases of a single system: the generic 3-parameter potential on the 2-sphere, S9 in our listing.
Willard Miller Jr.   +8 more
core   +1 more source

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