890,456 research outputs found
Chimpanzee hunting behavior
The pursuit, capture and consumption of small-and medium-sized vertebrates, appears to be typical of all chimpanzee (Pan troglodytes) populations, although large variation exists. Red colobus monkeys (Piliocolobus sp.) appear to be the preferred prey but intensity and frequency of hunting varies from month to month and between populations. Hunting is a predominately male activity and is typically opportunistic, although there is some evidence of searching for prey. The degree of cooperation during hunting, as well as prey selection, varies between East and West African populations and may be related to the way the kill is divided: in West Africa, hunters often collaborate, with kills tending to be shared according to participation, whereas in East Africa, the kill is typically divided tactically by the male in possession of the carcass, trading meat with females in return for sex or with other males to strengthen alliances, and cooperation in hunting is more limited. The adaptive function of chimpanzee hunting is not well understood, although it appears that it may be both a means to acquire a nutritionally valuable commodity that can then be traded and as a means for males to display their prowess and reliability to one another
Newton-Hooke Limit of Beltrami-de Sitter Spacetime, Principles of Galilei-Hooke's Relativity and Postulate on Newton-Hooke Universal Time
Based on the Beltrami-de Sitter spacetime, we present the Newton-Hooke model
under the Newton-Hooke contraction of the spacetime with respect to the
transformation group, algebra and geometry. It is shown that in Newton-Hooke
space-time, there are inertial-type coordinate systems and inertial-type
observers, which move along straight lines with uniform velocity. And they are
invariant under the Newton-Hooke group. In order to determine uniquely the
Newton-Hooke limit, we propose the Galilei-Hooke's relativity principle as well
as the postulate on Newton-Hooke universal time. All results are readily
extended to the Newton-Hooke model as a contraction of Beltrami-anti-de Sitter
spacetime with negative cosmological constant.Comment: 25 pages, 3 figures; some misprints correcte
Newton maps of complex exponential functions and parabolic surgery
The paper deals with Newton maps of complex exponential functions and a
surgery tool developed by P. Ha\"issinsky. The concept of "Postcritically
minimal" Newton maps of complex exponential functions are introduced, analogous
to postcritically finite Newton maps of polynomials. The dynamics preserving
mapping is constructed between the space of postcritically finite Newton maps
of polynomials and the space of postcritically minimal Newton maps of complex
exponential functions.Comment: Final version with changed titl
The Newton tree: geometric interpretation and applications to the motivic zeta function and the log canonical threshold
Let I be an arbitrary ideal in C[[x,y]]. We use the Newton algorithm to
compute by induction the motivic zeta function of the ideal, yielding only few
poles, associated to the faces of the successive Newton polygons. We associate
a minimal Newton tree to I, related to using good coordinates in the Newton
algorithm, and show that it has a conceptual geometric interpretation in terms
of the log canonical model of I. We also compute the log canonical threshold
from a Newton polygon and strengthen Corti's inequalities.Comment: 32 page
An Action for Extended String Newton-Cartan Gravity
We construct an action for four-dimensional extended string Newton-Cartan
gravity which is an extension of the string Newton-Cartan gravity that
underlies nonrelativistic string theory. The action can be obtained as a
nonrelativistic limit of the Einstein-Hilbert action in General Relativity
augmented with a term that contains an auxiliary two-form and one-form gauge
field that both have zero flux on-shell. The four-dimensional extended string
Newton-Cartan gravity is based on a central extension of the algebra that
underlies string Newton-Cartan gravity.
The construction is similar to the earlier construction of a
three-dimensional Chern-Simons action for extended Newton-Cartan gravity, which
is based on a central extension of the algebra that underlies Newton-Cartan
gravity. We show that this three-dimensional action is naturally obtained from
the four-dimensional action by a reduction over the spatial isometry direction
longitudinal to the string followed by a truncation of the extended string
Newton-Cartan gravity fields. Our construction can be seen as a special case of
the construction of an action for extended p-brane Newton-Cartan gravity in p+3
dimensions.Comment: 16 pages; v2: references added; v3: 18 pages, published versio
Newton-MR: Inexact Newton Method With Minimum Residual Sub-problem Solver
We consider a variant of inexact Newton Method, called Newton-MR, in which
the least-squares sub-problems are solved approximately using Minimum Residual
method. By construction, Newton-MR can be readily applied for unconstrained
optimization of a class of non-convex problems known as invex, which subsumes
convexity as a sub-class. For invex optimization, instead of the classical
Lipschitz continuity assumptions on gradient and Hessian, Newton-MR's global
convergence can be guaranteed under a weaker notion of joint regularity of
Hessian and gradient. We also obtain Newton-MR's problem-independent local
convergence to the set of minima. We show that fast local/global convergence
can be guaranteed under a novel inexactness condition, which, to our knowledge,
is much weaker than the prior related works. Numerical results demonstrate the
performance of Newton-MR as compared with several other Newton-type
alternatives on a few machine learning problems.Comment: 35 page
Quasi-ordinary singularities and Newton trees
In this paper we study some properties of the class of nu-quasi-ordinary
hypersurface singularities. They are defined by a very mild condition on its
(projected) Newton polygon. We associate with them a Newton tree and
characterize quasi-ordinary hypersurface singularities among nu-quasi-ordinary
hypersurface singularities in terms of their Newton tree. A formula to compute
the discriminant of a quasi-ordinary Weierstrass polynomial in terms of the
decorations of its Newton tree is given. This allows to compute the
discriminant avoiding the use of determinants and even for non Weierstrass
prepared polynomials. This is important for applications like algorithmic
resolutions. We compare the Newton tree of a quasi-ordinary singularity and
those of its curve transversal sections. We show that the Newton trees of the
transversal sections do not give the tree of the quasi-ordinary singularity in
general. It does if we know that the Newton tree of the quasi-ordinary
singularity has only one arrow.Comment: 32 page
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