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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 diagonal.
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 (physics), the ability of waves to oscillate in more than one direction; polarization of light allows the glare-reducing effect of polarized sunglasses Polarization (antenna) , the state of polarization (in the above sense) of electromagnetic waves transmitted by or received by a radio antenna
In 2012, the head of AP Grading, Trevor Packer, stated that the reason for the low percentages of 5s is that "AP World History is a college-level course, & many sophomores aren't yet writing at that level." 10.44 percent of all seniors who took the exam in 2012 received a 5, while just 6.62 percent of sophomores received a 5.
A word that has been used incessantly to describe the fraught state of American politics and society is Merriam-Webster’s 2024 word of the year. That word is “polarization.”
The definitions of Q and U imply that they transform under a rotation 𝝰 around the z-axis according to: These parameters transform, not like a vector, but like a two-dimensional, second rank symmetric trace-free (STF) polarization tensor P. In spherical polar coordinates (θ, ɸ), the metric tensor g and polarization tensor are:
The definition of polarization, according to Merriam-Webster, is "division into two sharply distinct opposites … a state in which the opinions, beliefs, or interests of a group or society no ...
In electrodynamics, circular polarization of an electromagnetic wave is a polarization state in which, at each point, the electromagnetic field of the wave has a constant magnitude and is rotating at a constant rate in a plane perpendicular to the direction of the wave.