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Scalar Field

Posted by 30.08.2019 in DEFAULT

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  1. In mathematics and physics, a scalar field associates a scalar value to every point in a space. The scalar may either be a mathematical number, or a physical quantity. Scalar fields are required to be coordinate-independent, meaning that any two observers using the same units will agree on the value of the scalar field at the same point in space.
  2. Oct 18,  · Scalar Fields. If we consider temperature within a solid then we have a scalar field since temperature is a scalar quantity and by a scalar field, we mean that there are a set of values of a scalar that must be assigned throughout a continuous region of space. Again this field may be time-dependent if heat is being supplied to the solid.
  3. If you vary with respect to the scalar field the action constructed from the lagrangian you will obtain the Klein-Gordon equation. People usually write the kinetic term of the scalar field as $(\partial_{μ} \phi)^2$.
  4. A scalar field is a function of spatial coordinates giving a single, scalar value at every point (x, y, z). 2. The gradient of a scalar field φ grad φ is defined by.
  5. The curl operator only acts on a vector field to produce another vector field. The grad operator acts on a scalar field to produce a vector field. The divergence of a .
  6. A scalar field is a function that gives us a single value of some variable for every point in space. As an example, the image in Figure shows the nighttime temperatures measured by the Thermal Emission Spectrometer instrument on the Mars Global Surveyor (MGS). The data were acquired during the first orbits of the MGS mapping.
  7. Scalar wave synonyms, Scalar wave pronunciation, Scalar wave translation, English dictionary definition of Scalar wave. Noun 1. scalar field - a field of scalars field - a set of elements such that addition and multiplication are commutative and associative and multiplication.
  8. It is clear that scalar fields are related to scalars, vector fields to vectors, and tensor fields to matrices; yet, these objects are not the same things. Precisely, a scalar field is a mapping that associates a scalar with each (x _, t) ∈ Ω × (0, T).
  9. Synonyms for scalar field in Free Thesaurus. Antonyms for scalar field. 1 word related to scalar field: field. What are synonyms for scalar field?

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