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The number of points (n), chords (c) and regions (r G) for first 6 terms of Moser's circle problem. In geometry, the problem of dividing a circle into areas by means of an inscribed polygon with n sides in such a way as to maximise the number of areas created by the edges and diagonals, sometimes called Moser's circle problem, has a solution by an inductive method.
The values of the trigonometric functions of these angles θ,θ′{\displaystyle \theta ,\;\theta ^{\prime }}for specific angles α{\displaystyle \alpha }satisfy simple identities: either they are equal, or have opposite signs, or employ the complementary trigonometric function. These are also known as reduction formulae.
Dailymotion is a French online video sharing platform owned by Vivendi. [2] North American launch partners included Vice Media , Bloomberg , and Hearst Digital Media . [ 3 ] It is among the earliest known platforms to support HD (720p) resolution video.
Block chord. A block chord is a chord or voicing built directly below the melody either on the strong beats or to create a four-part harmonized melody line in "locked-hands" [1] rhythmic unison with the melody, as opposed to broken chords. This latter style, known as shearing voicing, was popularized by George Shearing, but originated with Phil ...
Most of the tracks on the Easy Rider soundtrack were previously released on other albums by their respective artists. On LP, cassette and reel-to-reel releases of Easy Rider, tracks 1-5 appeared as side 1, and tracks 6-10 as side 2. "The Pusher" – 5:49 Steppenwolf - Steppenwolf (1968) "Born to Be Wild" (Mars Bonfire) – 3:37
Jacobi identity. In mathematics, the Jacobi identity is a property of a binary operation that describes how the order of evaluation, the placement of parentheses in a multiple product, affects the result of the operation. By contrast, for operations with the associative property, any order of evaluation gives the same result (parentheses in a ...
In mathematics, in particular in homotopy theory within algebraic topology, the homotopy lifting property (also known as an instance of the right lifting property or the covering homotopy axiom) is a technical condition on a continuous function from a topological space E to another one, B. It is designed to support the picture of E "above" B by ...
Let G 2 denote the subgroup of G generated by the point 0 + 1i. G 2 is a cyclic subgroup of order 4. For a prime p of form 4k + 1, let G p denote the subgroup of elements with denominator p n where n is a non-negative integer. G p is an infinite cyclic group, and the point (a 2 − b 2)/p + (2ab/p)i is a generator of G p.