gradient of scalar

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• 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

• Gradient well-formedness — is a problem that arises in the analysis of linguistic data, in which a linguistic entity is neither completely grammatical nor completely ungrammatical. A native speaker may judge a word, phrase or pronunciation as not quite right or almost… …   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 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 — 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

• 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

• 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

• 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

• Conjugate gradient method — A comparison of the convergence of gradient descent with optimal step size (in green) and conjugate vector (in red) for minimizing a quadratic function associated with a given linear system. Conjugate gradient, assuming exact arithmetic,… …   Wikipedia

• Pressure gradient — In atmospheric sciences (meteorology, climatology and related fields), the pressure gradient (typically of air, more generally of any fluid) is a physical quantity that describes in which direction and at what rate the pressure changes the most… …   Wikipedia