Results 61 to 70 of about 8,602 (292)
Planar charged-particle trajectories in multipole magnetic fields [PDF]
Annales Geophysicae, 1997 This paper provides a complete generalization of the classic result that the radius of curvature (ρ) of a charged-particle trajectory confined to the equatorial plane of a magnetic dipole is directly proportional to the cube of the particle's ...
D. M. Willis +5 more
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The Anatomical Record, EarlyView.Abstract Last year, we challenged the view that large‐bodied theropod dinosaurs such as Tyrannosaurus rex resembled primates in cognition and behavior, a proposition made by Herculano‐Houzel in 2023. More recently, Jensen et al. have criticized our work on this topic, raising methodological and conceptual issues.
Kai R. Caspar +5 more
wiley +1 more source
Coefficients of associated Legendre functions [PDF]
, 1976 The exact coefficients for the explicit forms of the associated Legendre functions Pm for integer values of m,n=0,1,2,...25 are presented in tabular form together with two cross-referenced listings of the zeroes for these functions rounded to five ...
Peasley, Q. D.
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Additive energies on discrete cubes
Discrete Analysis, 2023 One definition of additive combinatorics is that it is the study of subsets of (usually Abelian) groups. Two much studied parameters associated with a subset $A$ are the size of its sumset $A+A=\{a+b:a,b\in A\}$ (or the product set $A.A=\{a.b:a,b\in A\}$
Jaume de Dios Pont +3 more
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Osteohistology of two phorusrhacids reveals uninterrupted growth strategy
The Anatomical Record, EarlyView.Abstract Phorusrhacidae were apex predators that primarily dominated South America ecosystems for at least 40 million years with their imposing size and predatory lifestyle—yet some aspects of their biology remain poorly understood. Osteohistology is a tool for understanding growth dynamics and biomechanical adaptations.
Lotta Dreyer +2 more
wiley +1 more source
Tables of the roots of the associated Legendre function with respect to the degree [PDF]
, 1986 Tables of the numerical value of the roots with respect to the degree of the Legendre functions of the first kind and those of the first derivative are presented.
Helmut F. Bauer
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A Characterization of the Domain of Beta-Divergence and Its Connection to Bregman Variational Model
Entropy, 2017 In image and signal processing, the beta-divergence is well known as a similarity measure between two positive objects. However, it is unclear whether or not the distance-like structure of beta-divergence is preserved, if we extend the domain of the beta-
Hyenkyun Woo
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Some integrals involving associated Legendre functions [PDF]
Mathematics of Computation, 1974 Calculations of some uncommon integrals involving Legendre functions and their derivatives, which may not be readily evaluated using known results, are presented. Some results show a special type of orthogonality relation in a certain sense. A few of these integrals find their applications in diffraction or scattering problems.
openaire +1 more source
The Anatomical Record, EarlyView.Abstract Phylogenetic comparative methods have been used in recent literature to work with laws and test for regularities (evolutionary associations of quantitative features) and evolutionary singularities (features that evolved in a single taxon). We analyzed these uses epistemologically, taking the evolution of red‐blood‐cell mean corpuscular volume (
Jorge Cubo +3 more
wiley +1 more source
New identities for Legendre associated functions of integral order and degree [PDF]
, 1973 In the solution of the boundary value problems of mathematical physics in a separable 3-dimensional coordinate system, the shape of the boundary of the space may be such that the Green's function of the second order differential operator can be expanded ...
Schach, Stephen Ronald
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