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gradient of scalar field

См. также в других словарях:

  • Scalar field — In mathematics and physics, a scalar field associates a scalar value, which can be either mathematical in definition, or physical, to every point in space. Scalar fields are often used in physics, for instance to indicate the temperature… …   Wikipedia

  • Scalar-tensor theory — Scalar tensor theories are theories that include a scalar field as well as a tensor field to represent an interaction, especially the gravitational one. Tensor fields and field theory Modern physics tries to derive all physical theories from as… …   Wikipedia

  • Gradient (disambiguation) — Gradient may refer to:* Gradient, in vector calculus, a vector field representing the maximum rate of increase of the scalar field direction of the maximum change. * Slope or grade, referring to the inclination of a road or other geographic… …   Wikipedia

  • Scalar potential — A scalar potential is a fundamental concept in vector analysis and physics (the adjective scalar is frequently omitted if there is no danger of confusion with vector potential). Given a vector field F, its scalar potential V is a scalar field… …   Wikipedia

  • Gradient — In vector calculus, the gradient of a scalar field is a vector field which points in the direction of the greatest rate of increase of the scalar field, and whose magnitude is the greatest rate of change.A generalization of the gradient for… …   Wikipedia

  • Gradient Networks — Motivation Real world networks evolve to fulfill a main function, which is often to transport entities such as information, cars, power, water, etc. All these large scale networks metioned above are non globally designed. They evolve and grow… …   Wikipedia

  • Gradient theorem — The gradient theorem, sometimes also known as the fundamental theorem of calculus for line integrals, says that a line integral through a gradient field (any irrotational vector field can be expressed as a gradient) can be evaluated by evaluating …   Wikipedia

  • Field equation — A field equation is an equation in a physical theory that describes how a fundamental force (or a combination of such forces) interacts with matter. The four fundamental forces are the gravitational force, the electromagnetic force, the strong… …   Wikipedia

  • gradient — noun Etymology: Latin gradient , gradiens, present participle of gradi Date: 1835 1. a. the rate of regular or graded ascent or descent ; inclination b. a part sloping upward or downward 2. change in the value of a quantity (as temperature,… …   New Collegiate Dictionary

  • Vector field — In mathematics a vector field is a construction in vector calculus which associates a vector to every point in a (locally) Euclidean space.Vector fields are often used in physics to model, for example, the speed and direction of a moving fluid… …   Wikipedia

  • Conservative vector field — In vector calculus a conservative vector field is a vector field which is the gradient of a function, known in this context as a scalar potential. Conservative vector fields have the property that the line integral from one point to another is… …   Wikipedia

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