Results 171 to 180 of about 1,345 (195)

Baseline Expression of Immune Gene Modules in Blood is Associated With Primary Response to Anti-TNF Therapy in Crohn's Disease Patients. [PDF]

J Crohns Colitis
Bai BYH, Reppell M, Smaoui N, Waring JF, Pivorunas V, Guay H, Lin S, Chanchlani N, Bewshea C, Goodhand JR, Kennedy NA, Ahmad T, Anderson CA, UK Inflammatory Bowel Disease Pharmacogenetics Study Group .   +13 more
europepmc   +1 more source

Probabilistic classification of late treatment failure in uncomplicated falciparum malaria. [PDF]

Nat Commun
Mehra S, Taylor AR, Imwong M, White NJ, Watson JA.   +4 more
europepmc   +1 more source

Thermodynamics à la Souriau on Kähler Non-Compact Symmetric Spaces for Cartan Neural Networks. [PDF]

Entropy (Basel)
Fré PG, Sorin AS, Trigiante M.
europepmc   +1 more source

Practical applications of soil microbiota to improve ecosystem restoration: current knowledge and future directions. [PDF]

Biol Rev Camb Philos Soc
Peddle SD, Hodgson RJ, Borrett RJ, Brachmann S, Davies TC, Erickson TE, Liddicoat C, Muñoz-Rojas M, Robinson JM, Watson CD, Krauss SL, Breed MF.   +11 more
europepmc   +1 more source

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The Arithmetic of Bell and Stirling Numbers

American Journal of Mathematics, 1948
Symbolic methods are used to obtain many of the properties of the Bell and Stirling numbers [cf. \textit{E. T. Bell}, Am. J. Math. 61, 89--101 (1939; Zbl 0020.10402)] modulo \(p\), a prime.
John Riordan
exaly   +2 more sources

Degenerate r-Stirling Numbers and r-Bell Polynomials

Russian Journal of Mathematical Physics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yonghong Yao, Dae San Kim, Kim D S
exaly   +2 more sources

EVOLUTIONARY MATHEMATICS AND SCIENCE FOR GENERAL FAMOUS NUMBERS: STIRLING-EULER-LAH-BELL [PDF]

, 2021
We first introduce Pascal, Stirling, Eulerian, Lah and Bell numbers via sorting, then generalize Stirling numbers of both kinds [■(n@k)], {■(n@k)}, Eulerian numbers of two orders 〈■(n@k)〉, 〈〈■(n@k)〉 〉, Lah numbers L(n,k)=∑_(j=1)^n▒[■(n@j)] {■(j@k)} and ∑_(k=0)^(n-1)▒〖2^k 〈■(n@k)〉 〗=∑_(k=1)^n▒(∑_(j-1)^(k+1)▒[■(k+1@j)] ){■(n@k)} , the right-hand side of ...
Chang, Leon, Tsao, Hung-ping, Wang, Lawrence K   +2 more
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A closed form for the Stirling polynomials in terms of the Stirling numbers

Tbilisi Mathematical Journal, 2017
In the paper, by virtue of the Faá di Bruno formula and two identities for the Bell polynomial of the second kind, the authors find a closed form for the Stirling polynomials in terms of the Stirling numbers of the first and second kinds.
Feng Qi, Bai-Ni Guo
exaly   +2 more sources