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In mathematics, in particular in algebra, polarization is a technique for expressing a homogeneous polynomial in a simpler fashion by adjoining more variables. Specifically, given a homogeneous polynomial, polarization produces a unique symmetric multilinear form from which the original polynomial can be recovered by evaluating along a certain ...
In linear algebra, a branch of mathematics, the polarization identity is any one of a family of formulas that express the inner product of two vectors in terms of the norm of a normed vector space. If a norm arises from an inner product then the polarization identity can be used to express this inner product entirely in terms of the norm. The ...
Polarization (antenna), the state of polarization (in the above sense) of electromagnetic waves transmitted by or received by a radio antenna; Dielectric polarization, charge separation in insulating materials: Polarization density, volume dielectric polarization; Dipolar polarization, orientation of permanent dipoles
For materials without polarization and magnetization, the constitutive relations are (by definition) [9]: 2 =, =, where ε 0 is the permittivity of free space and μ 0 the permeability of free space. Since there is no bound charge, the total and the free charge and current are equal.
Mathematics is the science that draws necessary conclusions. [10] Benjamin Peirce 1870. All Mathematics is Symbolic Logic. [8] Bertrand Russell 1903. Peirce did not think that mathematics is the same as logic, since he thought mathematics makes only hypothetical assertions, not categorical ones. [11]
In addition to polarization, other words on the list include totality, demure, pander, resonate and more. Merriam-Webster's word of the year is polarization: See more words that defined 2024 Skip ...
See polarization and plane of polarization for more information. The orientation of a linearly polarized electromagnetic wave is defined by the direction of the electric field vector. [ 2 ] For example, if the electric field vector is vertical (alternately up and down as the wave travels) the radiation is said to be vertically polarized.
Defined as a “division into two sharply distinct opposites,” “polarization” grew dramatically in search volume over the past year due to what the online dictionary site claims was the ...