Results 71 to 80 of about 30,307 (185)

Nonverbal Rationality? 2‐Year‐Old Children, Dogs, and Pigs Show Unselective Responses to Unreliability but to Different Degrees

Child Development, Volume 96, Issue 6, Page 2047-2061, November/December 2025.
ABSTRACT Some philosophers argue that reflection is key to rational thinking. By tying reflective thinking to language, they struggle to account for minimally verbal infants and exclude nonhuman animals. This study assessed processing of undermining defeaters—a basic form of reflective thinking—in 36 two‐year‐old British children (13 female; Mage = 30 ...
Kirsten H. Blakey, Eva Rafetseder, Giacomo Melis, Ariane Veit, Kea Amelung, Franziska Freudensprung, Kinga Kovacs, Zsófia Virányi   +7 more
wiley   +1 more source

On a generalization of derangement polynomials and numbers

Demonstratio Mathematica
In T. Kim, D. S. Kim, and D. V. Dolgy, Probabilistic derangement numbers and polynomials, Math. Comput. Model. Dyn. Syst. 31 (2025), no. 1, 2529188, Kim-Kim defined the probabilistic derangement polynomials and numbers and found some properties of those ...
Yun Sang Jo, Park Jin-Woo
doaj   +1 more source

Three closed forms for convolved Fibonacci numbers

Results in Nonlinear Analysis, 2020
In the paper, by virtue of the Faà di Bruno formula and several properties of the Bell polynomials of the second kind, the author computes higher order derivatives of the generating function of convolved Fibonacci numbers and, consequently, derives three
Feng Qi
doaj  

Growth problems in diagram categories

Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3454-3469, November 2025.
Abstract In the semisimple case, we derive (asymptotic) formulas for the growth rate of the number of summands in tensor powers of the generating object in diagram/interpolation categories.
Jonathan Gruber, Daniel Tubbenhauer
wiley   +1 more source

Combinatorial Physics, Normal Order and Model Feynman Graphs

, 2003
The general normal ordering problem for boson strings is a combinatorial problem. In this note we restrict ourselves to single-mode boson monomials.
Blasiak, P., Duchamp, G., Horzela, A., Penson, K. A., Solomon, A. I.   +4 more
core   +1 more source

New type degenerate Stirling numbers and Bell polynomials [PDF]

, 2022
Hye Kyung Kim
openalex   +1 more source

Exponential Polynomials, Stirling Numbers, and Evaluation of Some Gamma Integrals

Abstract and Applied Analysis, 2009
This article is a short elementary review of the exponential polynomials (also called single-variable Bell polynomials) from the point of view of analysis. Some new properties are included, and several analysis-related applications are mentioned.
Khristo N. Boyadzhiev
doaj   +1 more source

Exploring probabilistic Bernstein polynomials: identities and applications

Applied Mathematics in Science and Engineering
In this paper, we introduce the probabilistic Bernstein polynomials and derive new and interesting correlations among several special functions and special number sequences such as Euler polynomials, Bernoulli polynomials of higher order, Frobenius–Euler
Ayse Karagenc, Mehmet Acikgoz, Serkan Araci   +2 more
doaj   +1 more source

The ordered Bell numbers as weighted sums of odd or even Stirling numbers of the second kind [PDF]

, 2021
Jacob Sprittulla
openalex   +1 more source

A new family of q-Bernstein polynomials: probabilistic viewpoint

Arab Journal of Basic and Applied Sciences
In this paper, we introduce a new class of polynomials, called probabilistic q-Bernstein polynomials, alongside their generating function. Assuming [Formula: see text] is a random variable satisfying moment conditions, we use the generating function of ...
Ayse Karagenc, Mehmet Acikgoz, Serkan Araci   +2 more
doaj   +1 more source