منابع مشابه
Invariant body kinematics: II. Reaching and neurogeometry
Invariant methods for formulating and analying the mechanics of the skeleto-muscular system with geometric algebra are further developed and applied to reaching kinematics. This work is set in the context of a neurogeometry research program to develop a coherent mathematical theory of neural sensory-motor control systems.
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Progress in physics depends on the ability to separate the analysis of a physical phenomenon into two parts. First, there are the initial conditions that are arbitrary, complicated, and unpredictable. Then there are the laws of nature that summarize the regularities that are independent of the initial conditions. The laws are often difficult to discover, since they can be hidden by the irregula...
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We develop a systematic semiclassical approximation scheme for quantum Hall skyrmions near filling factors ν = 1 2n+1 , which is exact in the long wavelength limit. We construct a coherent state basis for the Hilbert space of Chern-Simons gauge fields and composite bosons with spin. These states are projected to the physical gauge invariant subspace and their wavefunctions explicitly evaluated....
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A new invariant formulation of 3D eye-head kinematics improves on the computational advantages of quaternions. This includes a new formulation of Listing’s Law parameterized by gaze direction leading to an additive rather than a multiplicative saccadic error correction with a gaze vector difference control variable. A completely general formulation of compensatory kinematics characterizes arbit...
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We review the doubly gauge invariant formalism of cosmological perturbations in the Randall-Sundrum brane world. This formalism leads to four independent equations describing the evolution of scalar perturbations. Three of these equations are differential equations written in terms of gauge invariant variables on the brane only, and the other is an integro-differential equation describing non-l...
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ژورنال
عنوان ژورنال: Archive for Rational Mechanics and Analysis
سال: 1957
ISSN: 0003-9527,1432-0673
DOI: 10.1007/bf00298004