141 relations: Abel–Ruffini theorem, Affine transformation, Algebra, Algebraic equation, Algebraic function, Alternating group, American Mathematical Monthly, Analytic function, Analytical chemistry, Angle trisection, Approximation error, Archimedes, Archive for History of Exact Sciences, Area, Ars Magna (Gerolamo Cardano), Babylonia, Babylonian numerals, Birkhäuser, Buffer solution, Casus irreducibilis, Characteristic (algebra), Characteristic polynomial, Charlot equation, Chemical engineering, Chinese mathematics, Circumscribed circle, Coefficient, Collinearity, Compass-and-straightedge construction, Complex conjugate, Complex number, Complex plane, Conic section, Critical point (mathematics), Cube root, Cubic function, Cubic plane curve, Cyclic permutation, Degree of a field extension, Degree of a polynomial, Derivative, Diophantine equation, Diophantus, Discrete Fourier transform, Discriminant, Doubling the cube, Eigenvalues and eigenvectors, Elementary symmetric polynomial, Emmy Noether, Equation of state, ..., Fibonacci, Field (mathematics), Field extension, Focus (geometry), François Viète, Function (mathematics), Fundamental theorem of algebra, Gerolamo Cardano, Graph of a function, Greek mathematics, Hans Wussing, Heptagon, Heptagonal triangle, Hippocrates of Chios, History of Hindu Mathematics: A Source Book, Horner's method, Hyperbolic function, Hypergeometric function, Incircle and excircles of a triangle, Inflection point, Intermediate value theorem, Inverse trigonometric functions, Irreducible polynomial, Jerk (physics), Jigu Suanjing, Joseph-Louis Lagrange, Kinematics, Line segment, Linear differential equation, Liu Hui, Lodovico Ferrari, Lowest common denominator, MacTutor History of Mathematics archive, Marden's theorem, Mathematical Association, Mathematics in medieval Islam, Matrix (mathematics), Maxima and minima, Menaechmus, Monic polynomial, Monotonic function, Muhammad ibn Musa al-Khwarizmi, Negative number, Newton's method, Niccolò Fontana Tartaglia, Numerical analysis, Omar Khayyam, Permutation group, Polynomial, Polynomial long division, Quadratic formula, Quadratic function, Quartic function, Quintic function, Rafael Bombelli, Ragni Piene, Rational function, Rational number, Rational root theorem, Real number, Recurrence relation, René Descartes, Resolvent (Galois theory), Resolvent cubic, Root, Root of unity, Root-finding algorithm, Ruffini's rule, Scipione del Ferro, Second derivative, Separable polynomial, Sextic equation, Sharaf al-Dīn al-Ṭūsī, Spline (mathematics), Springer Science+Business Media, Steiner inellipse, Symmetric group, Symmetric polynomial, Tang dynasty, The Mathematical Gazette, The Mathematical Intelligencer, The Nine Chapters on the Mathematical Art, Thermodynamics, Thomas Little Heath, Trigonometric functions, Trigonometric tables, Trigonometry, Trinomial, Vieta's formulas, Wang Xiaotong, Zero of a function. Expand index (91 more) »
Abel–Ruffini theorem
In algebra, the Abel–Ruffini theorem (also known as Abel's impossibility theorem) states that there is no algebraic solution—that is, solution in radicals—to the general polynomial equations of degree five or higher with arbitrary coefficients.
New!!: Cubic function and Abel–Ruffini theorem · See more »
Affine transformation
In geometry, an affine transformation, affine mapBerger, Marcel (1987), p. 38.
New!!: Cubic function and Affine transformation · See more »
Algebra
Algebra (from Arabic "al-jabr", literally meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis.
New!!: Cubic function and Algebra · See more »
Algebraic equation
In mathematics, an algebraic equation or polynomial equation is an equation of the form where P and Q are polynomials with coefficients in some field, often the field of the rational numbers.
New!!: Cubic function and Algebraic equation · See more »
Algebraic function
In mathematics, an algebraic function is a function that can be defined as the root of a polynomial equation.
New!!: Cubic function and Algebraic function · See more »
Alternating group
In mathematics, an alternating group is the group of even permutations of a finite set.
New!!: Cubic function and Alternating group · See more »
American Mathematical Monthly
The American Mathematical Monthly is a mathematical journal founded by Benjamin Finkel in 1894.
New!!: Cubic function and American Mathematical Monthly · See more »
Analytic function
In mathematics, an analytic function is a function that is locally given by a convergent power series.
New!!: Cubic function and Analytic function · See more »
Analytical chemistry
Analytical chemistry studies and uses instruments and methods used to separate, identify, and quantify matter.
New!!: Cubic function and Analytical chemistry · See more »
Angle trisection
Angle trisection is a classical problem of compass and straightedge constructions of ancient Greek mathematics.
New!!: Cubic function and Angle trisection · See more »
Approximation error
The approximation error in some data is the discrepancy between an exact value and some approximation to it.
New!!: Cubic function and Approximation error · See more »
Archimedes
Archimedes of Syracuse (Ἀρχιμήδης) was a Greek mathematician, physicist, engineer, inventor, and astronomer.
New!!: Cubic function and Archimedes · See more »
Archive for History of Exact Sciences
Archive for History of Exact Sciences is a peer-reviewed academic journal published quarterly by Springer Science+Business Media, covering the history of mathematics and of astronomy observations and techniques, epistemology of science, and philosophy of science from Antiquity until now.
New!!: Cubic function and Archive for History of Exact Sciences · See more »
Area
Area is the quantity that expresses the extent of a two-dimensional figure or shape, or planar lamina, in the plane.
New!!: Cubic function and Area · See more »
Ars Magna (Gerolamo Cardano)
The Ars Magna ("The Great Art") is an important Latin-language book on algebra written by Girolamo Cardano.
New!!: Cubic function and Ars Magna (Gerolamo Cardano) · See more »
Babylonia
Babylonia was an ancient Akkadian-speaking state and cultural area based in central-southern Mesopotamia (present-day Iraq).
New!!: Cubic function and Babylonia · See more »
Babylonian numerals
Babylonian numerals were written in cuneiform, using a wedge-tipped reed stylus to make a mark on a soft clay tablet which would be exposed in the sun to harden to create a permanent record.
New!!: Cubic function and Babylonian numerals · See more »
Birkhäuser
Birkhäuser is a former Swiss publisher founded in 1879 by Emil Birkhäuser.
New!!: Cubic function and Birkhäuser · See more »
Buffer solution
A buffer solution (more precisely, pH buffer or hydrogen ion buffer) is an aqueous solution consisting of a mixture of a weak acid and its conjugate base, or vice versa.
New!!: Cubic function and Buffer solution · See more »
Casus irreducibilis
In algebra, casus irreducibilis (Latin for "the irreducible case") is one of the cases that may arise in attempting to solve a cubic equation with integer coefficients with roots that are expressed with radicals.
New!!: Cubic function and Casus irreducibilis · See more »
Characteristic (algebra)
In mathematics, the characteristic of a ring R, often denoted char(R), is defined to be the smallest number of times one must use the ring's multiplicative identity (1) in a sum to get the additive identity (0) if the sum does indeed eventually attain 0.
New!!: Cubic function and Characteristic (algebra) · See more »
Characteristic polynomial
In linear algebra, the characteristic polynomial of a square matrix is a polynomial which is invariant under matrix similarity and has the eigenvalues as roots.
New!!: Cubic function and Characteristic polynomial · See more »
Charlot equation
The Charlot equation, named after Gaston Charlot, is used in analytical chemistry to relate the hydrogen ion concentration, and therefore the pH, with the formal analytical concentration of an acid and its conjugate base.
New!!: Cubic function and Charlot equation · See more »
Chemical engineering
Chemical engineering is a branch of engineering that uses principles of chemistry, physics, mathematics and economics to efficiently use, produce, transform, and transport chemicals, materials and energy.
New!!: Cubic function and Chemical engineering · See more »
Chinese mathematics
Mathematics in China emerged independently by the 11th century BC.
New!!: Cubic function and Chinese mathematics · See more »
Circumscribed circle
In geometry, the circumscribed circle or circumcircle of a polygon is a circle which passes through all the vertices of the polygon.
New!!: Cubic function and Circumscribed circle · See more »
Coefficient
In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series or any expression; it is usually a number, but may be any expression.
New!!: Cubic function and Coefficient · See more »
Collinearity
In geometry, collinearity of a set of points is the property of their lying on a single line.
New!!: Cubic function and Collinearity · See more »
Compass-and-straightedge construction
Compass-and-straightedge construction, also known as ruler-and-compass construction or classical construction, is the construction of lengths, angles, and other geometric figures using only an idealized ruler and compass.
New!!: Cubic function and Compass-and-straightedge construction · See more »
Complex conjugate
In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign.
New!!: Cubic function and Complex conjugate · See more »
Complex number
A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.
New!!: Cubic function and Complex number · See more »
Complex plane
In mathematics, the complex plane or z-plane is a geometric representation of the complex numbers established by the real axis and the perpendicular imaginary axis.
New!!: Cubic function and Complex plane · See more »
Conic section
In mathematics, a conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone with a plane.
New!!: Cubic function and Conic section · See more »
Critical point (mathematics)
In mathematics, a critical point or stationary point of a differentiable function of a real or complex variable is any value in its domain where its derivative is 0.
New!!: Cubic function and Critical point (mathematics) · See more »
Cube root
In mathematics, a cube root of a number x is a number y such that y3.
New!!: Cubic function and Cube root · See more »
Cubic function
In algebra, a cubic function is a function of the form in which is nonzero.
New!!: Cubic function and Cubic function · See more »
Cubic plane curve
In mathematics, a cubic plane curve is a plane algebraic curve C defined by a cubic equation applied to homogeneous coordinates for the projective plane; or the inhomogeneous version for the affine space determined by setting in such an equation.
New!!: Cubic function and Cubic plane curve · See more »
Cyclic permutation
In mathematics, and in particular in group theory, a cyclic permutation (or cycle) is a permutation of the elements of some set X which maps the elements of some subset S of X to each other in a cyclic fashion, while fixing (that is, mapping to themselves) all other elements of X. If S has k elements, the cycle is called a k-cycle.
New!!: Cubic function and Cyclic permutation · See more »
Degree of a field extension
In mathematics, more specifically field theory, the degree of a field extension is a rough measure of the "size" of the field extension.
New!!: Cubic function and Degree of a field extension · See more »
Degree of a polynomial
The degree of a polynomial is the highest degree of its monomials (individual terms) with non-zero coefficients.
New!!: Cubic function and Degree of a polynomial · See more »
Derivative
The derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value).
New!!: Cubic function and Derivative · See more »
Diophantine equation
In mathematics, a Diophantine equation is a polynomial equation, usually in two or more unknowns, such that only the integer solutions are sought or studied (an integer solution is a solution such that all the unknowns take integer values).
New!!: Cubic function and Diophantine equation · See more »
Diophantus
Diophantus of Alexandria (Διόφαντος ὁ Ἀλεξανδρεύς; born probably sometime between AD 201 and 215; died around 84 years old, probably sometime between AD 285 and 299) was an Alexandrian Hellenistic mathematician, who was the author of a series of books called Arithmetica, many of which are now lost.
New!!: Cubic function and Diophantus · See more »
Discrete Fourier transform
In mathematics, the discrete Fourier transform (DFT) converts a finite sequence of equally-spaced samples of a function into a same-length sequence of equally-spaced samples of the discrete-time Fourier transform (DTFT), which is a complex-valued function of frequency.
New!!: Cubic function and Discrete Fourier transform · See more »
Discriminant
In algebra, the discriminant of a polynomial is a polynomial function of its coefficients, which allows deducing some properties of the roots without computing them.
New!!: Cubic function and Discriminant · See more »
Doubling the cube
Doubling the cube, also known as the Delian problem, is an ancient geometric problem.
New!!: Cubic function and Doubling the cube · See more »
Eigenvalues and eigenvectors
In linear algebra, an eigenvector or characteristic vector of a linear transformation is a non-zero vector that changes by only a scalar factor when that linear transformation is applied to it.
New!!: Cubic function and Eigenvalues and eigenvectors · See more »
Elementary symmetric polynomial
In mathematics, specifically in commutative algebra, the elementary symmetric polynomials are one type of basic building block for symmetric polynomials, in the sense that any symmetric polynomial can be expressed as a polynomial in elementary symmetric polynomials.
New!!: Cubic function and Elementary symmetric polynomial · See more »
Emmy Noether
Amalie Emmy NoetherEmmy is the Rufname, the second of two official given names, intended for daily use.
New!!: Cubic function and Emmy Noether · See more »
Equation of state
In physics and thermodynamics, an equation of state is a thermodynamic equation relating state variables which describe the state of matter under a given set of physical conditions, such as pressure, volume, temperature (PVT), or internal energy.
New!!: Cubic function and Equation of state · See more »
Fibonacci
Fibonacci (c. 1175 – c. 1250) was an Italian mathematician from the Republic of Pisa, considered to be "the most talented Western mathematician of the Middle Ages".
New!!: Cubic function and Fibonacci · See more »
Field (mathematics)
In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.
New!!: Cubic function and Field (mathematics) · See more »
Field extension
In mathematics, and in particular, algebra, a field E is an extension field of a field F if E contains F and the operations of F are those of E restricted to F. Equivalently, F is a subfield of E. For example, under the usual notions of addition and multiplication, the complex numbers are an extension field of the real numbers; the real numbers are a subfield of the complex numbers.
New!!: Cubic function and Field extension · See more »
Focus (geometry)
In geometry, focuses or foci, singular focus, are special points with reference to which any of a variety of curves is constructed.
New!!: Cubic function and Focus (geometry) · See more »
François Viète
François Viète (Franciscus Vieta; 1540 – 23 February 1603), Seigneur de la Bigotière, was a French mathematician whose work on new algebra was an important step towards modern algebra, due to its innovative use of letters as parameters in equations.
New!!: Cubic function and François Viète · See more »
Function (mathematics)
In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.
New!!: Cubic function and Function (mathematics) · See more »
Fundamental theorem of algebra
The fundamental theorem of algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root.
New!!: Cubic function and Fundamental theorem of algebra · See more »
Gerolamo Cardano
Gerolamo (or Girolamo, or Geronimo) Cardano (Jérôme Cardan; Hieronymus Cardanus; 24 September 1501 – 21 September 1576) was an Italian polymath, whose interests and proficiencies ranged from being a mathematician, physician, biologist, physicist, chemist, astrologer, astronomer, philosopher, writer, and gambler.
New!!: Cubic function and Gerolamo Cardano · See more »
Graph of a function
In mathematics, the graph of a function f is, formally, the set of all ordered pairs, and, in practice, the graphical representation of this set.
New!!: Cubic function and Graph of a function · See more »
Greek mathematics
Greek mathematics refers to mathematics texts and advances written in Greek, developed from the 7th century BC to the 4th century AD around the shores of the Eastern Mediterranean.
New!!: Cubic function and Greek mathematics · See more »
Hans Wussing
Hans-Ludwig Wußing (October 15, 1927 in Waldheim – April 26, 2011 in Leipzig) was a German historian of mathematics and science.
New!!: Cubic function and Hans Wussing · See more »
Heptagon
In geometry, a heptagon is a seven-sided polygon or 7-gon.
New!!: Cubic function and Heptagon · See more »
Heptagonal triangle
A heptagonal triangle is an obtuse scalene triangle whose vertices coincide with the first, second, and fourth vertices of a regular heptagon (from an arbitrary starting vertex).
New!!: Cubic function and Heptagonal triangle · See more »
Hippocrates of Chios
Hippocrates of Chios (Ἱπποκράτης ὁ Χῖος) was an ancient Greek mathematician, geometer, and astronomer who lived c. 470 – c. 410 BC.
New!!: Cubic function and Hippocrates of Chios · See more »
History of Hindu Mathematics: A Source Book
History of Hindu Mathematics: A Source Book is a treatise on the history of Indian mathematics authored by Bibhutibhushan Datta and Awadhesh Narayan Singh and originally published in two parts in 1930's.
New!!: Cubic function and History of Hindu Mathematics: A Source Book · See more »
Horner's method
In mathematics, Horner's method (also known as Horner scheme in the UK or Horner's rule in the U.S..) is either of two things.
New!!: Cubic function and Horner's method · See more »
Hyperbolic function
In mathematics, hyperbolic functions are analogs of the ordinary trigonometric, or circular, functions.
New!!: Cubic function and Hyperbolic function · See more »
Hypergeometric function
In mathematics, the Gaussian or ordinary hypergeometric function 2F1(a,b;c;z) is a special function represented by the hypergeometric series, that includes many other special functions as specific or limiting cases.
New!!: Cubic function and Hypergeometric function · See more »
Incircle and excircles of a triangle
In geometry, the incircle or inscribed circle of a triangle is the largest circle contained in the triangle; it touches (is tangent to) the three sides.
New!!: Cubic function and Incircle and excircles of a triangle · See more »
Inflection point
In differential calculus, an inflection point, point of inflection, flex, or inflection (British English: inflexion) is a point on a continuously differentiable plane curve at which the curve crosses its tangent, that is, the curve changes from being concave (concave downward) to convex (concave upward), or vice versa.
New!!: Cubic function and Inflection point · See more »
Intermediate value theorem
In mathematical analysis, the intermediate value theorem states that if a continuous function, f, with an interval,, as its domain, takes values f(a) and f(b) at each end of the interval, then it also takes any value between f(a) and f(b) at some point within the interval.
New!!: Cubic function and Intermediate value theorem · See more »
Inverse trigonometric functions
In mathematics, the inverse trigonometric functions (occasionally also called arcus functions, antitrigonometric functions or cyclometric functions) are the inverse functions of the trigonometric functions (with suitably restricted domains).
New!!: Cubic function and Inverse trigonometric functions · See more »
Irreducible polynomial
In mathematics, an irreducible polynomial is, roughly speaking, a non-constant polynomial that cannot be factored into the product of two non-constant polynomials.
New!!: Cubic function and Irreducible polynomial · See more »
Jerk (physics)
In physics, jerk is the rate of change of acceleration; that is, the time derivative of acceleration, and as such the second derivative of velocity, or the third time derivative of position.
New!!: Cubic function and Jerk (physics) · See more »
Jigu Suanjing
Jigu suanjing ("Continuation of Ancient Mathematics" 缉古算经) was the work of early Tang dynasty calendarist and mathematician Wang Xiaotong, written some time before the year 626, when he presented his work to the Emperor.
New!!: Cubic function and Jigu Suanjing · See more »
Joseph-Louis Lagrange
Joseph-Louis Lagrange (or;; born Giuseppe Lodovico Lagrangia, Encyclopædia Britannica or Giuseppe Ludovico De la Grange Tournier, Turin, 25 January 1736 – Paris, 10 April 1813; also reported as Giuseppe Luigi Lagrange or Lagrangia) was an Italian Enlightenment Era mathematician and astronomer.
New!!: Cubic function and Joseph-Louis Lagrange · See more »
Kinematics
Kinematics is a branch of classical mechanics that describes the motion of points, bodies (objects), and systems of bodies (groups of objects) without considering the mass of each or the forces that caused the motion.
New!!: Cubic function and Kinematics · See more »
Line segment
In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints.
New!!: Cubic function and Line segment · See more »
Linear differential equation
In mathematics, a linear differential equation is a differential equation that is defined by a linear polynomial in the unknown function and its derivatives, that is an equation of the form where,..., and are arbitrary differentiable functions that do not need to be linear, and are the successive derivatives of an unknown function of the variable.
New!!: Cubic function and Linear differential equation · See more »
Liu Hui
Liu Hui was a Chinese mathematician who lived in the state of Cao Wei during the Three Kingdoms period (220–280) of China.
New!!: Cubic function and Liu Hui · See more »
Lodovico Ferrari
Lodovico de Ferrari (2 February 1522 – 5 October 1565) was an Italian mathematician.
New!!: Cubic function and Lodovico Ferrari · See more »
Lowest common denominator
In mathematics, the lowest common denominator or least common denominator (abbreviated LCD) is the lowest common multiple of the denominators of a set of fractions.
New!!: Cubic function and Lowest common denominator · See more »
MacTutor History of Mathematics archive
The MacTutor History of Mathematics archive is a website maintained by John J. O'Connor and Edmund F. Robertson and hosted by the University of St Andrews in Scotland.
New!!: Cubic function and MacTutor History of Mathematics archive · See more »
Marden's theorem
In mathematics, Marden's theorem, named after Morris Marden but proven much earlier by Jörg Siebeck, gives a geometric relationship between the zeroes of a third-degree polynomial with complex coefficients and the zeroes of its derivative.
New!!: Cubic function and Marden's theorem · See more »
Mathematical Association
The Mathematical Association is a professional society concerned with mathematics education in the UK.
New!!: Cubic function and Mathematical Association · See more »
Mathematics in medieval Islam
Mathematics during the Golden Age of Islam, especially during the 9th and 10th centuries, was built on Greek mathematics (Euclid, Archimedes, Apollonius) and Indian mathematics (Aryabhata, Brahmagupta).
New!!: Cubic function and Mathematics in medieval Islam · See more »
Matrix (mathematics)
In mathematics, a matrix (plural: matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.
New!!: Cubic function and Matrix (mathematics) · See more »
Maxima and minima
In mathematical analysis, the maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range (the local or relative extrema) or on the entire domain of a function (the global or absolute extrema).
New!!: Cubic function and Maxima and minima · See more »
Menaechmus
Menaechmus (Μέναιχμος, 380–320 BC) was an ancient Greek mathematician and geometer born in Alopeconnesus in the Thracian Chersonese, who was known for his friendship with the renowned philosopher Plato and for his apparent discovery of conic sections and his solution to the then-long-standing problem of doubling the cube using the parabola and hyperbola.
New!!: Cubic function and Menaechmus · See more »
Monic polynomial
In algebra, a monic polynomial is a single-variable polynomial (that is, a univariate polynomial) in which the leading coefficient (the nonzero coefficient of highest degree) is equal to 1.
New!!: Cubic function and Monic polynomial · See more »
Monotonic function
In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order.
New!!: Cubic function and Monotonic function · See more »
Muhammad ibn Musa al-Khwarizmi
There is some confusion in the literature on whether al-Khwārizmī's full name is ابو عبد الله محمد بن موسى الخوارزمي or ابو جعفر محمد بن موسی الخوارزمی.
New!!: Cubic function and Muhammad ibn Musa al-Khwarizmi · See more »
Negative number
In mathematics, a negative number is a real number that is less than zero.
New!!: Cubic function and Negative number · See more »
Newton's method
In numerical analysis, Newton's method (also known as the Newton–Raphson method), named after Isaac Newton and Joseph Raphson, is a method for finding successively better approximations to the roots (or zeroes) of a real-valued function.
New!!: Cubic function and Newton's method · See more »
Niccolò Fontana Tartaglia
Niccolò Fontana Tartaglia (1499/1500, Brescia – 13 December 1557, Venice) was a Venetian mathematician, engineer (designing fortifications), a surveyor (of topography, seeking the best means of defense or offense) and a bookkeeper from the then-Republic of Venice (now part of Italy).
New!!: Cubic function and Niccolò Fontana Tartaglia · See more »
Numerical analysis
Numerical analysis is the study of algorithms that use numerical approximation (as opposed to general symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics).
New!!: Cubic function and Numerical analysis · See more »
Omar Khayyam
Omar Khayyam (عمر خیّام; 18 May 1048 – 4 December 1131) was a Persian mathematician, astronomer, and poet.
New!!: Cubic function and Omar Khayyam · See more »
Permutation group
In mathematics, a permutation group is a group G whose elements are permutations of a given set M and whose group operation is the composition of permutations in G (which are thought of as bijective functions from the set M to itself).
New!!: Cubic function and Permutation group · See more »
Polynomial
In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.
New!!: Cubic function and Polynomial · See more »
Polynomial long division
In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalised version of the familiar arithmetic technique called long division.
New!!: Cubic function and Polynomial long division · See more »
Quadratic formula
In elementary algebra, the quadratic formula is the solution of the quadratic equation.
New!!: Cubic function and Quadratic formula · See more »
Quadratic function
In algebra, a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic, is a polynomial function in one or more variables in which the highest-degree term is of the second degree.
New!!: Cubic function and Quadratic function · See more »
Quartic function
In algebra, a quartic function is a function of the form where a is nonzero, which is defined by a polynomial of degree four, called a quartic polynomial.
New!!: Cubic function and Quartic function · See more »
Quintic function
In algebra, a quintic function is a function of the form where,,,, and are members of a field, typically the rational numbers, the real numbers or the complex numbers, and is nonzero.
New!!: Cubic function and Quintic function · See more »
Rafael Bombelli
Rafael Bombelli (baptised on 20 January 1526; died 1572) was an Italian mathematician.
New!!: Cubic function and Rafael Bombelli · See more »
Ragni Piene
Ragni Piene (born 18 January 1947, Oslo) is a Norwegian mathematician, specializing in algebraic geometry, with particular interest in enumerative results and intersection theory.
New!!: Cubic function and Ragni Piene · See more »
Rational function
In mathematics, a rational function is any function which can be defined by a rational fraction, i.e. an algebraic fraction such that both the numerator and the denominator are polynomials.
New!!: Cubic function and Rational function · See more »
Rational number
In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.
New!!: Cubic function and Rational number · See more »
Rational root theorem
In algebra, the rational root theorem (or rational root test, rational zero theorem, rational zero test or p/q theorem) states a constraint on rational solutions of a polynomial equation with integer coefficients.
New!!: Cubic function and Rational root theorem · See more »
Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
New!!: Cubic function and Real number · See more »
Recurrence relation
In mathematics, a recurrence relation is an equation that recursively defines a sequence or multidimensional array of values, once one or more initial terms are given: each further term of the sequence or array is defined as a function of the preceding terms.
New!!: Cubic function and Recurrence relation · See more »
René Descartes
René Descartes (Latinized: Renatus Cartesius; adjectival form: "Cartesian"; 31 March 1596 – 11 February 1650) was a French philosopher, mathematician, and scientist.
New!!: Cubic function and René Descartes · See more »
Resolvent (Galois theory)
In Galois theory, a discipline within the field of abstract algebra, a resolvent for a permutation group G is a polynomial whose coefficients depend polynomially on the coefficients of a given polynomial p and has, roughly speaking, a rational root if and only if the Galois group of p is included in G. More exactly, if the Galois group is included in G, then the resolvent has a rational root, and the converse is true if the rational root is a simple root.
New!!: Cubic function and Resolvent (Galois theory) · See more »
Resolvent cubic
In algebra, a resolvent cubic is one of several distinct, although related, cubic polynomials defined from a monic polynomial of degree four: In each case.
New!!: Cubic function and Resolvent cubic · See more »
Root
In vascular plants, the root is the organ of a plant that typically lies below the surface of the soil.
New!!: Cubic function and Root · See more »
Root of unity
In mathematics, a root of unity, occasionally called a de Moivre number, is any complex number that gives 1 when raised to some positive integer power.
New!!: Cubic function and Root of unity · See more »
Root-finding algorithm
In mathematics and computing, a root-finding algorithm is an algorithm for finding roots of continuous functions.
New!!: Cubic function and Root-finding algorithm · See more »
Ruffini's rule
In mathematics, Ruffini's rule is an efficient technique for dividing a polynomial by a binomial of the form x − r. It was described by Paolo Ruffini in 1804.
New!!: Cubic function and Ruffini's rule · See more »
Scipione del Ferro
Scipione del Ferro (6 February 1465 – 5 November 1526) was an Italian mathematician who first discovered a method to solve the depressed cubic equation.
New!!: Cubic function and Scipione del Ferro · See more »
Second derivative
In calculus, the second derivative, or the second order derivative, of a function is the derivative of the derivative of.
New!!: Cubic function and Second derivative · See more »
Separable polynomial
In mathematics, a polynomial P(X) over a given field K is separable if its roots are distinct in an algebraic closure of K, that is, the number of distinct roots is equal to the degree of the polynomial.
New!!: Cubic function and Separable polynomial · See more »
Sextic equation
In algebra, a sextic polynomial is a polynomial of degree six.
New!!: Cubic function and Sextic equation · See more »
Sharaf al-Dīn al-Ṭūsī
(c. 1135 – c. 1213) was an Iranian mathematician and astronomer of the Islamic Golden Age (during the Middle Ages).
New!!: Cubic function and Sharaf al-Dīn al-Ṭūsī · See more »
Spline (mathematics)
In mathematics, a spline is a function defined piecewise by polynomials.
New!!: Cubic function and Spline (mathematics) · See more »
Springer Science+Business Media
Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.
New!!: Cubic function and Springer Science+Business Media · See more »
Steiner inellipse
In geometry, the Steiner inellipse,Weisstein, E. "Steiner Inellipse" — From MathWorld, A Wolfram Web Resource, http://mathworld.wolfram.com/SteinerInellipse.html.
New!!: Cubic function and Steiner inellipse · See more »
Symmetric group
In abstract algebra, the symmetric group defined over any set is the group whose elements are all the bijections from the set to itself, and whose group operation is the composition of functions.
New!!: Cubic function and Symmetric group · See more »
Symmetric polynomial
In mathematics, a symmetric polynomial is a polynomial in variables, such that if any of the variables are interchanged, one obtains the same polynomial.
New!!: Cubic function and Symmetric polynomial · See more »
Tang dynasty
The Tang dynasty or the Tang Empire was an imperial dynasty of China preceded by the Sui dynasty and followed by the Five Dynasties and Ten Kingdoms period.
New!!: Cubic function and Tang dynasty · See more »
The Mathematical Gazette
The Mathematical Gazette is an academic journal of mathematics education, published three times yearly, that publishes "articles about the teaching and learning of mathematics with a focus on the 15–20 age range and expositions of attractive areas of mathematics." It was established in 1894 by Edward Mann Langley as the successor to the Reports of the Association for the Improvement of Geometrical Teaching.
New!!: Cubic function and The Mathematical Gazette · See more »
The Mathematical Intelligencer
The Mathematical Intelligencer is a mathematical journal published by Springer Verlag that aims at a conversational and scholarly tone, rather than the technical and specialist tone more common among academic journals.
New!!: Cubic function and The Mathematical Intelligencer · See more »
The Nine Chapters on the Mathematical Art
The Nine Chapters on the Mathematical Art is a Chinese mathematics book, composed by several generations of scholars from the 10th–2nd century BCE, its latest stage being from the 2nd century CE.
New!!: Cubic function and The Nine Chapters on the Mathematical Art · See more »
Thermodynamics
Thermodynamics is the branch of physics concerned with heat and temperature and their relation to energy and work.
New!!: Cubic function and Thermodynamics · See more »
Thomas Little Heath
Sir Thomas Little Heath (5 October 1861 – 16 March 1940) was a British civil servant, mathematician, classical scholar, historian of ancient Greek mathematics, translator, and mountaineer.
New!!: Cubic function and Thomas Little Heath · See more »
Trigonometric functions
In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are functions of an angle.
New!!: Cubic function and Trigonometric functions · See more »
Trigonometric tables
In mathematics, tables of trigonometric functions are useful in a number of areas.
New!!: Cubic function and Trigonometric tables · See more »
Trigonometry
Trigonometry (from Greek trigōnon, "triangle" and metron, "measure") is a branch of mathematics that studies relationships involving lengths and angles of triangles.
New!!: Cubic function and Trigonometry · See more »
Trinomial
In elementary algebra, a trinomial is a polynomial consisting of three terms or monomials.
New!!: Cubic function and Trinomial · See more »
Vieta's formulas
In mathematics, Vieta's formulas are formulas that relate the coefficients of a polynomial to sums and products of its roots.
New!!: Cubic function and Vieta's formulas · See more »
Wang Xiaotong
Wang Xiaotong (王孝通) (AD 580–640), also known as Wang Hs'iao-t'ung, was a Chinese mathematician and calendarist.
New!!: Cubic function and Wang Xiaotong · See more »
Zero of a function
In mathematics, a zero, also sometimes called a root, of a real-, complex- or generally vector-valued function f is a member x of the domain of f such that f(x) vanishes at x; that is, x is a solution of the equation f(x).
New!!: Cubic function and Zero of a function · See more »
Redirects here:
3rd order polynomial, Bipartite Cubic, Cardan formula, Cardan's solution, Cardanic formulae, Cardano formula, Cardano formulae, Cardano's formula, Cardano's formulae, Cardano's method, Cardano-Tartaglia formula, Cardano–Tartaglia formula, Chebyshev cube root, Cubic Equation, Cubic Equations, Cubic Formula, Cubic equation, Cubic equations, Cubic formula, Cubic functions, Cubic model, Cubic polynomial, Cubical equation, Depressed cubic, Factorization of cubic functions, General cubic formula, The Special Cubic Formula, Third degree equation, Third-degree equation, Y=ax3+bx2+cx+d, Y=ax^3+bx^2+cx+d.
References
[1] https://en.wikipedia.org/wiki/Cubic_function