Definition, Betydelse & Synonymer | Engelska ordet QUARTIC

Definition av QUARTIC

1. kvartisk
2. (matematik) fjärdegradare, fjärdegradsekvation, fjärdegradspolynom

Exempel på hur man kan använda QUARTIC i en mening

• In Galois theory, this map, or rather the corresponding map , corresponds to associating the Lagrange resolvent cubic to a quartic, which allows the quartic polynomial to be solved by radicals, as established by Lodovico Ferrari.
• The impossibility of solving in degree five or higher contrasts with the case of lower degree: one has the quadratic formula, the cubic formula, and the quartic formula for degrees two, three, and four, respectively.
• Solving quintic equations in terms of radicals (nth roots) was a major problem in algebra from the 16th century, when cubic and quartic equations were solved, until the first half of the 19th century, when the impossibility of such a general solution was proved with the Abel–Ruffini theorem.
• To calculate its location relative to a triangulated surface, the position of a horizontal torus on the -axis must be found where it is tangent to a fixed line, and this requires the solution of a general quartic equation to be calculated.
• For example, if the rational root theorem produces a single (rational) root of a quintic polynomial, it can be factored out to obtain a quartic (fourth degree) quotient; the explicit formula for the roots of a quartic polynomial can then be used to find the other four roots of the quintic.
• 1937: "Rational quartic primals and associated Cremona transformations of four-dimensional space", Proc.
• As such, the Klein quartic is the Hurwitz surface of lowest possible genus; see Hurwitz's automorphisms theorem.
• The formulas for the theta Nullwert function values from the cube root of the elliptic nome are obtained by contrasting the two real solutions of the corresponding quartic equations:.
• The Kummer involution has 16 fixed points: the 16 2-torsion point of the Jacobian, and they are the 16 singular points of the quartic surface.
• Dupin cyclides are often simply known as cyclides, but the latter term is also used to refer to a more general class of quartic surfaces which are important in the theory of separation of variables for the Laplace equation in three dimensions.
• Otherwise known as The Great Art, provided the first published methods for solving cubic and quartic equations (due to Scipione del Ferro, Niccolò Fontana Tartaglia, and Lodovico Ferrari), and exhibited the first published calculations involving non-real complex numbers.
• The works Analytic Solutions to Algebraic Equations by Johansson and Evaluation of Fifth Degree Elliptic Singular Moduli by Bagis showed in their quotated works that the Jacobi amplitude sine of the third part of the complete first kind integral K solves following quartic equation:.
• The smallest Hurwitz group is the simple group of order 168, the second smallest non-abelian simple group, which is isomorphic to PSL(2,7), and the associated Hurwitz surface (of genus 3) is the Klein quartic.
• Cubic Scandium trifluoride has this property which is explained by the quartic oscillation of the fluoride ions.
• If one takes N=1 (which permits only one quartic interaction) and makes no attempt to analytically continue the dimension, the model reduces to the massive Thirring model (which is completely integrable).
• In geometry, the bicorn, also known as a cocked hat curve due to its resemblance to a bicorne, is a rational quartic curve defined by the equation.
• In mathematics, a bullet-nose curve is a unicursal quartic curve with three inflection points, given by the equation.
• There are five couplings in Split Supersymmetry: the Higgs quartic coupling and four Yukawa couplings between the Higgsinos, Higgs and gauginos.
• So, for example, a non-singular quartic plane curve is of genus 3 and has 28 bitangents and 24 points of inflection.
• Spiric sections can be defined as bicircular quartic curves that are symmetric with respect to the x and y axes.

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