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Riesz transforms of a general Ornstein–Uhlenbeck semigroup
We consider Riesz transforms of any order associated to an Ornstein–Uhlenbeck operator with covariance given by a real, symmetric and positive...
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Nonpositive curvature is not coarsely universal
We prove that not every metric space embeds coarsely into an Alexandrov space of nonpositive curvature. This answers a question of Gromov (Geometric...
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The post-determined block universe
A series of reasons to take quantum unitary evolution seriously and explain the projection of the state vector as unitary and not discontinuous are...
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Mathematical Models of Aqueous Production, Flow and Drainage
The aqueous humour (AH) is a transparent fluid with water-like properties that fills the anterior chamber (AC, the region between the cornea and the...
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The Puzzle of Empty Bottle in Quantum Theories
We discuss an extremely simple case of ‘shadowing’ when the very existence of quantum detector deforms the behavior of quantum particles even if the...
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Modeling Biomechanics in the Healthy and Diseased Heart
The hierarchical construction of the myocardium plays a pivotal role in the biomechanics of the heart muscle and the resulting flow of blood. In...
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Unravelling the Dodecahedral Spaces
The hyperbolic dodecahedral space of Weber and Seifert has a natural non-positively curved cubulation obtained by subdividing the dodecahedron into...
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Geometric Kinematic Control of a Spherical Rolling Robot
We give a geometric account of kinematic control of a spherical rolling robot controlled by two internal wheels just like the toy robot Sphero ....
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On the Origin of Indian Logic from the Viewpoint of the Pāli Canon
In this paper, I show that in the Pāli Canon there was a tradition of Buddhist logic, but this tradition was weak, and the proto-logic we can...
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Applications of metaplectic cohomology and global-local contact holonomy
The purpose of the paper is to elucidate by global-dual contact holonomy why one might expect the Foucault spherical pendulum’s spin echo-stabilized,...
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Mathematical Analysis of the
Escherichia coli Chemotaxis Signalling PathwayWe undertake a detailed mathematical analysis of a recent nonlinear ordinary differential equation (ODE) model describing the chemotactic signalling...
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Geometry of Many-Body Systems
This chapter deals with the geometric setting for planar and spatial many-body systems on the basis of connection theory. Rather, the contents of...
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Small Things
Not only is the Universe stranger than we think, it is stranger than we can think.
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Introduction: Scholars, Scholarly Archives and the Practice of Scholarship in Late Babylonian Uruk
The city of Uruk in southern BabylonianBabylonian is one of two sites to have provided us with a significant number of scholarly cuneiform tablets...
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Optimal control of attitude for coupled-rigid-body spacecraft via Chebyshev-Gauss pseudospectral method
The attitude optimal control problem (OCP) of a two-rigid-body spacecraft with two rigid bodies coupled by a ball-in-socket joint is considered....
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Blow-Up, Homotopy and Existence for Periodic Solutions of the Planar Three-Body Problem
Deleting collisions from the configuration space of the planar N-body problem yields a space with a large interesting set of free homotopy classes of...
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Literary Cosmology: Plato, Tobin, Major, Turner
As we have seen throughout this book, one way that mathematics enters directly into poetry is through cosmology, which tracks the origin, creation...
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An analysis of medieval solar theories
From Antiquity through the early modern period, the apparent motion of the Sun in longitude was simulated by the eccentric model set forth in...
