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Tensor Calculus
In mathematics, a tensor is an algebraic object that describes a multilinear relationship between sets of algebraic objects associated with a vector space. Tensors may map between different objects such as vectors, scalars, and even other tensors. There are many types of tensors, including scalars and vectors (which are the simplest tensors), dual vectors, multilinear maps between vector spaces, and even some operations such as the dot product. Tensors are defined independent of any basis, although they are often referred to by their components in a basis related to a particular coordinate system; those components form an array, which can be thought of as a high-dimensional matrix. Tensors have become important in physics because they provide a concise mathematical framework for formulating and solving physics problems in areas such as mechanics ( stress, elasticity, quantum mechanics, fluid mechanics, moment of inertia, ...), electrodynamics ( electromagnetic ten ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Components Stress Tensor
Component may refer to: In engineering, science, and technology Generic systems *System components, an entity with discrete structure, such as an assembly or software module, within a system considered at a particular level of analysis *Lumped element model, a model of spatially distributed systems Electrical *Component video, a type of analog video information that is transmitted or stored as two or more separate signals *Electronic component, a constituent of an electronic circuit *Symmetrical components, in electrical engineering, analysis of unbalanced three-phase power systems Mathematics *Color model, a way of describing how colors can be represented, typically as multiple values or color components *Component (group theory), a quasi-simple subnormal sub-group *Connected component (graph theory), a maximal connected subgraph *Connected component (topology), a maximal connected subspace of a topological space *Vector component, result of the decomposition of a vector into va ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
