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Intermediate treatment of tensors
Intermediate treatment of tensors Note: The following is a modern component-based treatment of tensors (sometimes called the "classical treatment" of ...
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Classical treatment of tensors
Classical treatment of tensors The following is a component-based "classical" treatment of tensors. See Component-free treatment of tensors ...
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Talk:Tensor/Archive1
... m very convinced that both treatments of tensors should be included. Why not? The modern ... stay, because hey, it's the modern treatment. However the classical treatment should also remain, because 1. it's very difficult to learn the modern treatment without first learning the modern treatment. 2. most physicist rely on the ...
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Tensor
... of scalars, vectors, matrices and linear operators. Tensors may be written down in terms of ... non-technical introduction to the idea of tensors, and to provide an introduction to the ... different, complementary treatments of the theory of tensors in detail. Brief overview Depending on what ... 4 is just the transform for usual tensors. It can be deduced from the above ... a 3 dimensional matrix. Importance and usage Tensors are of importance in physics and ...
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Talk:Tensor
... preference for the "abstract index notation" for tensors introduced by Roger Penrose. (This is the ... for instance.) It applies to the modern component-free approach to tensors, but it looks like a component formalism. For instance, raised and lowered ...
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Talk:Tensor (intrinsic definition)
... name would be suitable? Tensor (differential geometry treatment) ? Tensor (component-free treatment) ? something else? -- The Anome 22:44, 12 ... geometry) is better, except that even the component-treatment is differential geometry... I don' ...
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Maxwell's equations
... — the corrected Ampere's law (three component equations), Gauss' law for charge (one equation ... between total and displacement current densities (three component equations), the relationship between magnetic field and the vector potential (three component equations, which imply the absence of magnetic ... and the scalar and vector potentials (three component equations, which imply Faraday's law), the ... between the electric and displacement fields (three component equations), Ohm's law relating current ...
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Talk:Discrete Fourier transform
... the vector - not the component . There is no such ... change all, and in a relatively error free manner. That implies a thorough understanding of ... in the flavor of Einstein notation for tensors, but it shouldn't be introduced here ... The notation is free to be redefined to something useful. The ... get a general intuition, but a proper treatment will require an article in its ...
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Mathematics of general relativity
... relativity Notational point: General relativity articles using tensors will use the abstract index notation . The ... Cosmology Special relativity Riemannian geometry edit Why tensors? The principle of general covariance states that ... relativity be formulated using the language of tensors. This will be discussed further below. Spacetime ... Other physical descriptors are represented by various tensors, discussed below. The rationale for choosing a ... structure is important, especially in cosmological problems. Tensors in GR For details on tensors, ...
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Tensor field
... noted that many mathematical structures informally called 'tensors' are actually 'tensor fields', fields defined over ... tensor article for an elementary introduction to tensors. Geometric introduction The geometric intuition for a ... tangent spaces) the whole apparatus explained at component-free treatment of tensors carries over in a ...
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