Results 11 to 20 of about 522,722 (144)
The programming language pascal [PDF]
Acta Informatica, 1971 Berichte der Fachgruppe Computerwissenschaften ...
Niklaus Wirth
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Hyperbolic Pascal pyramid [PDF]
Beitr Algebra Geom 57 (2016) 913-927, 2015 In this paper we introduce a new type of Pascal's pyramids. The new object is called hyperbolic Pascal pyramid since the mathematical background goes back to the regular cube mosaic (cubic honeycomb) in the hyperbolic space. The definition of the hyperbolic Pascal pyramid is a natural generalization of the definition of hyperbolic Pascal triangle and ...
arxiv +1 more source
Alternating sums in hyperbolic Pascal triangles [PDF]
Miskolc Mathematical Notes. (17) 2, (2016), 989-998, 2017 A new generalization of Pascal's triangle, the so-called hyperbolic Pascal triangles were introduced in [H.B, L.N, L.Sz: Hyperbolic Pascal triangles]. The mathematical background goes back to the regular mosaics in the hyperbolic plane. The alternating sum of elements in the rows was given in the special case $\{4,5\}$ of the hyperbolic Pascal ...
arxiv +1 more source
Pascal's mind and Pascal's science [PDF]
Nature, 1982 Pascal: Adversary and Advocate. By Robert J. Nelson. Pp.286. ISBN 0-674-65615-6. (Harvard University Press: 1982.) $22.50, £18.
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Pascal algebra of matrices and Pascal map on jet bundles [PDF]
arXiv, 2021 We identify and study a matrix algebra consisting of Pascal-type matrices. The generator of the matrix algebra is shown to well define a canonical bundle map, called the Pascal map on jet bundles, and we use it to give an intrinsic definition of point-wise contact between Hermitian vector bundles in terms of unitary equivalence of the Pascal maps.
arxiv
Diffusion of a particle via a stochastic process on the Pascal'e pyramid [PDF]
arXiv, 2021 In this note, we construct a $3$-dimensional generalisation of the Pascal's triangle that we named Pascal's cube, as it has the construction of a cube with entries given by extended binomial coefficients ${}^cC^{a}_{b}$. The Pascal's cube is equivalent to the well-studied Pascal's pyramid, with the advantage that the Pascal's cube can be mapped onto ...
arxiv
Analytic representation of the generalized Pascal snail and its applications [PDF]
arXiv, 2020 We find an unifying approach to the analytic representation of the domain bounded by a generalized Pascal snail. Special cases as Pascal snail, Both leminiscate, conchoid of the Sluze and a disc are included. The behavior of functions related to generalized Pascal snail are demonstrated.
arxiv
The role of reason in the assent of faith: Pascal, Shestov and the late medieval background [PDF]
, 2017 Many late medieval thinkers gave an account of the assent of faith in terms of the exercise of reason, but their account is vulnerable to attack by Pascal and Shestov who believe there to be assents of faith that have an element which is irreducibly ...
Broadie, Alexander
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