On the asymptotics of a sequence of lacunary binomial-type polynomials [PDF]
R. B. Paris
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Simple 3‐Designs of PSL ( 2 , 2 n ) With Block Size 13
ABSTRACT This paper focuses on the investigation of simple 3‐( 2 n + 1 , 13 , λ ) designs admitting PSL ( 2 , 2 n ) as an automorphism group. Such designs arise from the orbits of 13‐element subsets under the action of PSL ( 2 , 2 n ) on the projective line X = GF ( 2 n ) ∪ { ∞ }, and any union of these orbits also forms a 3‐design.
Takara Kondo, Yuto Nogata
wiley +1 more source
Exponential Function as a Polynomial of Non-Integer and Negative Exponents Newton Binomial Theorem Generalization Fractional Derivative of a Constant [PDF]
Jesús Sánchez, Jesús Sánchez
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Solving a Random Asymmetric TSP Exactly in Quasi‐Polynomial Time W.H.P.
ABSTRACT Let the costs C(i,j)$$ C\left(i,j\right) $$ for an instance of the Asymmetric Traveling Salesperson Problem (ATSP) be independent copies of a nonnegative random variable C$$ C $$ from a class of distributions that include the uniform [0,1]$$ \left[0,1\right] $$ distribution and the exponential mean 1 distribution with mean 1.
Tolson Bell, Alan M. Frieze
wiley +1 more source
Parametric Integrals for Binomial Series with Harmonic Polynomials [PDF]
Chunli Li, Wenchang Chu
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Supercongruences involving binomial coefficients and Euler polynomials
Let $p$ be an odd prime and let $x$ be a $p$-adic integer. In this paper, we establish supercongruences for $$ \sum_{k=0}^{p-1}\frac{\binom{x}{k}\binom{x+k}{k}(-4)^k}{(dk+1)\binom{2k}{k}}\pmod{p^2} $$ and $$ \sum_{k=0}^{p-1}\frac{\binom{x}{k}\binom{x+k}{k}(-2)^k}{(dk+1)\binom{2k}{k}}\pmod{p^2}, $$ where $d\in\{0,1,2\}$.
Wang, Chen, Han, Hui-Li
openaire +2 more sources
A cybersecurity risk analysis framework for systems with artificial intelligence components
Abstract The introduction of the European Union Artificial Intelligence (AI) Act, the NIST AI Risk Management Framework, and related international norms and policy documents demand a better understanding and implementation of novel risk analysis issues when facing systems with AI components: dealing with new AI‐related impacts; incorporating AI‐based ...
J.M. Camacho +3 more
wiley +1 more source
A positivity conjecture for a quotient of <i>q</i>-binomial coefficients. [PDF]
Gatzweiler M, Krattenthaler C.
europepmc +1 more source
Generalizability Theory for Randomly Parallel Testing
Abstract Advancements in artificial intelligence (AI) have brought significant changes to testing practices, including the emergence of randomly parallel testing (RPT), in which examinees receive different but psychometrically similar sets of items generated from templates or AI‐based systems.
Won‐Chan Lee +2 more
wiley +1 more source
Caught on Camera: Insights Into Mizoram's Mammalian Diversity Through a Camera-Trap-Based Distance Sampling Approach. [PDF]
Gogoi AP +4 more
europepmc +1 more source

