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Introduction to Computational Physics
Introduction to Computational Physics

Magnetic Moments of Branes and Giant Gravitons
Magnetic Moments of Branes and Giant Gravitons

Polysymplectic and Multisymplectic Structures on - IME-USP
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Nonlinear Optimization James V. Burke University of Washington
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... where f0 : X → R ∪ {±∞} is the objective function, X is the space over which the optimization occurs, and Ω ⊂ X is the constraint region. This is a very general description of an optimization problem and as one might imagine there is a taxonomy of optimization problems depending on the underlying st ...
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Efficiently Decodable Compressed Sensing by List-Recoverable Codes and Recursion Hung Q. Ngo

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... is here understood as one of the sciences about nature, instead of an abstract mathematical theory with no determined interpretation. Before proceeding to discussing mechanics, it should be stated that the preprinciples, as defined above, provide for its distinction from, for instance, geometry whic ...
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Genus Two Zhu Theory for Vertex Operator Algebras

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Four-vector

In the theory of relativity, a four-vector or 4-vector is a vector in Minkowski space, a four-dimensional real vector space. It differs from a Euclidean vector in how its magnitude is determined. The transformations that preserve this magnitude are the Lorentz transformations, which include spatial rotations, boosts (a change by a constant velocity to another inertial reference frame), and temporal and spatial inversions. Regarded as a homogeneous space, the transformation group of Minkowski space is the Poincaré group, which adds to the Lorentz group the group of translations. The Lorentz group may be represented by 4×4 matrices.The article considers four-vectors in the context of special relativity. Although the concept of four-vectors also extends to general relativity, some of the results stated in this article require modification in general relativity.
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