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List of electronic color code mnemonics Mnemonics are used to help memorize the electronic color codes for resistors. Mnemonics describing specific and relatable scenarios are more memorable than abstract phrases.
An electronic color code or electronic colour code (see spelling differences) is used to indicate the values or ratings of electronic components, usually for resistors, but also for capacitors, inductors, diodes and others.
The magnitude of the cross product equals the area of a parallelogramwith the vectors for sides; in particular, the magnitude of the product of two perpendicular vectors is the product of their lengths. The unitsof the cross-product are the product of the units of each vector.
The Lie algebra bracket captures the essence of the Lie group product in a sense made precise by the Baker–Campbell–Hausdorff formula. The elements of so(3){\displaystyle {\mathfrak {so}}(3)}are the "infinitesimal generators" of rotations, i.e., they are the elements of the tangent spaceof the manifold SO(3) at the identity element.
The CIELAB color space, also referred to as L*a*b*, is a color space defined by the International Commission on Illumination (abbreviated CIE) in 1976. [a] It expresses color as three values: L* for perceptual lightness and a* and b* for the four unique colors of human vision: red, green, blue and yellow. CIELAB was intended as a perceptually uniform space, where a given numerical change ...
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Lie product formula. In mathematics, the Lie product formula, named for Sophus Lie (1875), but also widely called the Trotter product formula, [1] named after Hale Trotter, states that for arbitrary m × m real or complex matrices A and B, [2] where eA denotes the matrix exponential of A. The Lie–Trotter product formula [3] and the Trotter ...
In mathematics, sine and cosine are trigonometric functions of an angle. The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse ), and the cosine is ...
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