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  2. Polarization of an algebraic form - Wikipedia

    en.wikipedia.org/wiki/Polarization_of_an...

    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 ...

  3. Polarization identity - Wikipedia

    en.wikipedia.org/wiki/Polarization_identity

    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 ...

  4. Transverse wave - Wikipedia

    en.wikipedia.org/wiki/Transverse_wave

    Mathematically, the simplest kind of transverse wave is a plane linearly polarized sinusoidal one. "Plane" here means that the direction of propagation is unchanging and the same over the whole medium; "linearly polarized" means that the direction of displacement too is unchanging and the same over the whole medium; and the magnitude of the displacement is a sinusoidal function only of time ...

  5. Physical optics - Wikipedia

    en.wikipedia.org/wiki/Physical_optics

    Physical optics is used to explain effects such as diffraction. In physics, physical optics, or wave optics, is the branch of optics that studies interference, diffraction, polarization, and other phenomena for which the ray approximation of geometric optics is not valid.

  6. Linear polarization - Wikipedia

    en.wikipedia.org/wiki/Linear_polarization

    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.

  7. ‘Polarization’ is Merriam-Webster’s 2024 word of the year

    lite.aol.com/tech/story/0001/20241209/df39b7a...

    “It’s a kind of backstop for meaning in an era of fake news, alternative facts, whatever you want to say about the value of a word’s meaning in the culture.” It’s notable that “polarization” originated in the early 1800s — and not during the Renaissance, as did most words with Latin roots about science, Sokolowski said.