What Defines a Scalar Field vs a Vector Field? - Physics Forums
Dec 15, 2020 · A scalar field is defined by a quantity that has magnitude but no direction, such as temperature in a pan of water, while a vector field includes both magnitude and direction. The …
Understanding Surface Integrals: Scalar vs. Vector Functions …
Jul 16, 2014 · Hello, We know that surface integrals come to the form of a surface integral of a scalar function over a surface and a vector field over a surface. First...
Scalar fields/ Scalar functions / Vector fields / Vector functions
Nov 2, 2012 · I know that physically, they describe relationships whereby, for instance a vector field, for each point in three dimensional space (a "vector"), we have a "vector" which has a …
Understanding Line Integrals: Scalar vs Vector Fields
May 27, 2009 · The discussion centers on the differences between line integrals of scalar functions and vector fields, specifically why the integrals of a scalar function multiplied by the …
Flux Terminology: Scalar Flux vs. Flux Density in Different Contexts
Jun 1, 2020 · In surface integrals, flux is typically a scalar result, while flux density refers to the vector field. However, in other contexts, such as volumetric flow and mass flow rates, "flux" …
Vector field vs. four scalar fields ("QFT and the SM", Schwartz)
Mar 5, 2024 · A Vector field vs. four scalar fields ("QFT and the SM", Schwartz) Hill Mar 5, 2024 Field Quantum Transformation Click For Summary
'Constant' vector field is equivalent to some scalar field
May 14, 2014 · A constant vector field can be represented by a scalar field, where the vector's direction is determined by constant direction cosines A and B, while the magnitudes …
Scalar vs Vector: Explaining the Difference • Physics Forums
Jan 22, 2008 · In the surface integral, you are making use of a vector function, E(x) (the electric field at position x) but it is dotted with vector n to give a scalar. In the volume integral you are …
Is the Laplacian a Vector or Scalar? - Physics Forums
Oct 8, 2012 · The Laplacian of a scalar field is a scalar field, and the Laplacian of a vector field is a vector field. Edit: because it preserves scalars vs. vectors, it is common to refer to it as a …
What is the difference between scalar and vector functions?
Mar 13, 2024 · A function gives a scalar field if the output of the function is a scalar, or a single number. A function gives a vector field if the output of the function is a vector.