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Cubic reciprocity is a collection of theorems in elementary and algebraic number theory that state conditions under which the congruence x 3 ≡ p (mod q) is solvable; the word "reciprocity" comes from the form of the main theorem, which states that if p and q are primary numbers in the ring of Eisenstein integers, both coprime to 3, the congruence x 3 ≡ p (mod q) is solvable if and only if ...
Burnside's lemma can compute the number of rotationally distinct colourings of the faces of a cube using three colours.. Let X be the set of 3 6 possible face color combinations that can be applied to a fixed cube, and let the rotation group G of the cube act on X by moving the colored faces: two colorings in X belong to the same orbit precisely when one is a rotation of the other.
Applied Energetics, Inc. (formerly Ionatron) is an American arms manufacturer. It develops directed-energy weapons, mainly electrolasers with a range of tens of meters. [1] Applied Energetics stock is publicly traded on the NASDAQ exchange. When still named Ionatron, it traded under the ticker symbol IOTN. In February 2008, the company name was ...
The Unreasonable Effectiveness of Mathematics in the Natural Sciences" is a 1960 article written by the physicist Eugene Wigner, published in Communication in Pure and Applied Mathematics. [ 1 ] [ 2 ] In it, Wigner observes that a theoretical physics's mathematical structure often points the way to further advances in that theory and to ...
Modular forms are analytic functions, so they admit a Fourier series.As modular forms also satisfy a certain kind of functional equation with respect to the group action of the modular group, this Fourier series may be expressed in terms of =.
Modern Physics Letters B is a peer-reviewed scientific journal on physics, especially the areas of condensed matter, statistical and applied physics, and high-Tc superconductivity. It was established in 1987 and is published by World Scientific .
C³, also known as C Cube (Japanese: シーキューブ, Hepburn: Shīkyūbu) or Cube×Cursed×Curious, is a Japanese light novel series written by Hazuki Minase, and illustrated by Sasorigatame. C³ is about a high school student named Haruaki Yachi, who receives a mysterious black cube from his father who is overseas.
In geometry, a hypercube is an n-dimensional analogue of a square (n = 2) and a cube (n = 3); the special case for n = 4 is known as a tesseract.It is a closed, compact, convex figure whose 1-skeleton consists of groups of opposite parallel line segments aligned in each of the space's dimensions, perpendicular to each other and of the same length.