104,971 research outputs found
Postprint of "Legendre, S., Montuire, S., Maridet, O., Escarguel, G., 2005. Rodents and climate: A new model for estimating past temperatures. Earth and Planetary Science Letters 235, 408–420." doi: 10.1016/j.epsl.2005.04.018
No full textPostprint of the publication:
Legendre, S., Montuire, S., Maridet, O., Escarguel, G., 2005. Rodents and climate: A new model for estimating past temperatures. Earth and Planetary Science Letters 235, 408–420.
https://doi.org/10.1016/j.epsl.2005.04.01
Legendre G-array Pairs and the Theoretical Unification of Several G-array Families
No full textWe investigate how Legendre G-array pairs are related to several different perfect binary G-array families. In particular we study the relations between Legendre G-array pairs, Sidelnikov-Lempel-Cohn-Eastman ℤq−1-arrays, Yamada-Pott G-array pairs, Ding-Helleseth-Martinsen ℤ2×ℤmp-arrays, Yamada ℤ(q−1)/2-arrays, Szekeres ℤmp-array pairs, Paley ℤmp-array pairs, and Baumert ℤm1p1×ℤm2p2-array pairs. Our work also solves one of the two open problems posed in Ding~[J. Combin. Des. 16 (2008), 164-171]. Moreover, we provide several computer search based existence and non-existence results regarding Legendre ℤn-array pairs. Finally, by using cyclotomic cosets, we provide a previously unknown Legendre ℤ57-array pair
Alpert multiwavelets and Legendre-Angelesco multiple orthogonal polynomials
No full text© 2017 Society for Industrial and Applied Mathematics. We show that the multiwavelets, introduced by Alpert in 1993, are related to type I Legendre-Angelesco multiple orthogonal polynomials. We give explicit formulas for these Legendre-Angelesco polynomials and for the Alpert multiwavelets. The multiresolution analysis can be done entirely using Legendre polynomials, and we give an algorithm, using Cholesky factorization, for computing the multiwavelets and a method, using the Jacobi matrix for Legendre polynomials, for computing the matrices in the scaling relation for any size of the multiplicity of the multiwavelets.sponsorship: The work of the first author was partially supported by Simons Foundation grant 210169. The work of the second author was partially supported by Simons Foundation grant 280940. The work of the third author was supported by FWO research projects G.0934.13 and G.0864.16, and by KU Leuven research grant OT/12/073. (Simons Foundation|210169, Simons Foundation|280940, FWO|G.0934.13, FWO|G.0864.16, KU Leuven research grant|OT/12/073)status: Publishe
Interaction between two spherical bubbles rising in a viscous liquid
No full textThe three-dimensional flow around two spherical bubbles moving in a viscous fluid is studied numerically by solving the full Navier-Stokes equations. The study considers the interaction between two bubbles for moderate Reynolds numbers (50 ≤ Re ≤ 500, Re being based on the bubble diameter) and for positions described by the separation S (2.5 ≤ S ≤ 10, S being the distance between the bubble centres normalized by the bubble radius) and the angle θ (0o ≤ θ ≤ 90o ) formed between the line of centre and the direction perpendicular to the direction of the motion. We provide a general description of the interaction extending the results obtained for two bubbles moving side by side (θ = 0o ) by Legendre, Magnaudet & Mougin 2003 (J. Fluid Mech., 497,133-166) and for two bubbles moving in line (θ = 90o ) by Yuan & Prosperetti 1994 (J. Fluid Mech., 278, 325-349). Simple models based on physical arguments are given for the drag and lift forces experienced by each bubble. The interaction is the combination of three effects: a potential effect, a viscous correction (Moore correction) and a significant wake effect observed on both the drag and the transverse force of the second bubble when located in the wake of the first one
Marcel Legendre. — Le Serin des Canaries. 1955
No full textG. L. Marcel Legendre. — Le Serin des Canaries. 1955. In: Bulletin mensuel de la Société linnéenne de Lyon, 25ᵉ année, n°1, janvier 1956. p. 32
Marcel Legendre. — Le Serin des Canaries. 1955
No full textG. L. Marcel Legendre. — Le Serin des Canaries. 1955. In: Bulletin mensuel de la Société linnéenne de Lyon, 25ᵉ année, n°1, janvier 1956. p. 32
Projeto de filtros transicionais baseados em aproximações polinomiais clássicas /
No full textDissertação (Mestrado) - Universidade Federal de Santa Catarina, Centro Tecnológico.Este trabalho propõe uma metodologia de projeto de filtros transicionais passa-baixas que usam seis aproximações clássicas bem conhecidas de filtros polinomiais (Chebyshev, Legendre, Butterworth, Bessel, Gauss e Multiplicidade-n). O projeto leva em conta um gabarito, proporcionando um melhor compromisso entre a magnitude, fase e/ou resposta temporal. Com esta aproximação é possível projetar filtros que têm um desempenho melhor que aqueles projetados com funções polinomiais clássicas ou, mesmo, outros filtros transicionais propostos na literatura. São apresentados exemplos que demonstram os resultados e a eficiência do método proposto
Two New Integral Transforms and Their Applications
No full textThis thesis is in two parts. In Part I the independent
variable θ in the trigonometric form of Legendre's equation is
extended to the range ( -∞, ∞). The associated spectral
representation is an infinite integral transform whose kernel
is the analytic continuation of the associated Legendre function
of the second kind into the complex θ-plane. This new transform
is applied to the problems of waves on a spherical shell, heat
flow on a spherical shell, and the gravitational potential of a
sphere. In each case the resulting alternative representation of
the solution is more suited to direct physical interpretation than
the standard forms.
In Part II separation of variables is applied to the
initial-value problem of the propagation of acoustic waves in an
underwater sound channel. The Epstein symmetric profile is taken
to describe the variation of sound with depth. The spectral
representation associated with the separated depth equation is
found to contain an integral and a series. A point source is
assumed to be located in the channel. The nature of the
disturbance at a point in the vicinity of the channel far removed
from the source is investigated.</p
The Generalizations of multiplicative and on the legendre
No full textBu çalışmada ilk olarak Zafrullah'ın vermiş olduğu genelleştirilmiş çarpanlanabilir aritmetik fonksiyon kavramının yeni genellemeleri verilmiştir. Sonra bu genellemelere ait özel aritmetik fonksiyonlar tanımlanarak, bu genellemelere ait bazı özellikler ispatlanmıştır. İkinci olarak aritmetik fonksiyonlar kümesinde p>0 tek asal, neZ+ nin pozitif böleni d, (n, p)=l ve nRp olmak üzere (o/p) legendre sembolünü kullanarak Legendre Çarpımı olarak adlandırdığımız yeni bir çarpımı (f*pg)(n)=V(d/p)f(d)g(- ) biçiminde tanımlanmıştır. Bu çarpımın cebirsel d|n d özellikleri incelenmiştir. Son olarak özel legendre aritmetik fonksiyonları, Legendre serisi ve Up-Legendre serileri tanımlanarak bu serilerin özellikleri incelenmiştir.In this study we introduced new generalizations of generalized multiplicative arithmetic functions given by Zafrullah. Then, we proved some properties of these generalizations defining by the special arithmetic functions that belong to these generalizations. Secondly, Legendre convolution of arithmetical functions f and g is defined by (f*pg)(n) = ^(g/p)f(d)g(- ), where (o/p) is a legendre symbol such that n is a positive integer, d is positive divisor of n and p is a odd prime which is (p, n)=l. We called this new convolution as Legendre Convolution of arithmetic functions. The algebraic properties of these convolution has been investigated. Finally, Special Legendre arithmetic functions, Legendre series and Up-Legendre series were defined by Legendre convolution and the properties of these series have been investigated
Lettre de Louis Phélypeaux de Pontchartrain (chancelier de France) à Gaspard-François Legendre (intendant de Montauban) datée du 08 janvier 1713
No full textLettre de Louis Phélypeaux de Pontchartrain (chancelier de France) à Gaspard-François Legendre (intendant de Montauban) datée du 08 janvier 1713. In: Correspondance administrative sous le règne de Louis XIV, recueillie et mise en ordre par G. B. Depping. Tome II. Administration de la justice – Police – Galères. Paris : Imprimerie nationale, 1851. p. 495
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