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Equation and Polynomial

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Equation and Polynomial

Equation vs. Polynomial

In mathematics, an equation is a statement of an equality containing one or more variables. 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.

Similarities between Equation and Polynomial

Equation and Polynomial have 48 things in common (in Unionpedia): Abel–Ruffini theorem, Abstract algebra, Addition, Algebra, Algebraic equation, Algebraic expression, Algebraic geometry, Algebraic variety, Algorithm, Antiderivative, Chemistry, Commutative algebra, Complex number, Cubic function, Degree of a polynomial, Derivative, Diophantine equation, Economics, Expression (mathematics), Factorization of polynomials, Field (mathematics), Function (mathematics), Gaussian elimination, Identity (mathematics), Integer, Mathematical analysis, Mathematics, Monomial, Multiplication, Numerical analysis, ..., Parabola, Periodic function, Physics, Polynomial, Quadratic equation, Quartic function, Quintic function, Rational number, Real number, René Descartes, Robert Recorde, Root-finding algorithm, Sextic equation, Subtraction, System of linear equations, System of polynomial equations, Term (logic), Variable (mathematics). Expand index (18 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.

Abel–Ruffini theorem and Equation · Abel–Ruffini theorem and Polynomial · See more »

Abstract algebra

In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures.

Abstract algebra and Equation · Abstract algebra and Polynomial · See more »

Addition

Addition (often signified by the plus symbol "+") is one of the four basic operations of arithmetic; the others are subtraction, multiplication and division.

Addition and Equation · Addition and Polynomial · 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.

Algebra and Equation · Algebra and Polynomial · 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.

Algebraic equation and Equation · Algebraic equation and Polynomial · See more »

Algebraic expression

In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number).

Algebraic expression and Equation · Algebraic expression and Polynomial · See more »

Algebraic geometry

Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials.

Algebraic geometry and Equation · Algebraic geometry and Polynomial · See more »

Algebraic variety

Algebraic varieties are the central objects of study in algebraic geometry.

Algebraic variety and Equation · Algebraic variety and Polynomial · See more »

Algorithm

In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems.

Algorithm and Equation · Algorithm and Polynomial · See more »

Antiderivative

In calculus, an antiderivative, primitive function, primitive integral or indefinite integral of a function is a differentiable function whose derivative is equal to the original function.

Antiderivative and Equation · Antiderivative and Polynomial · See more »

Chemistry

Chemistry is the scientific discipline involved with compounds composed of atoms, i.e. elements, and molecules, i.e. combinations of atoms: their composition, structure, properties, behavior and the changes they undergo during a reaction with other compounds.

Chemistry and Equation · Chemistry and Polynomial · See more »

Commutative algebra

Commutative algebra is the branch of algebra that studies commutative rings, their ideals, and modules over such rings.

Commutative algebra and Equation · Commutative algebra and Polynomial · 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.

Complex number and Equation · Complex number and Polynomial · See more »

Cubic function

In algebra, a cubic function is a function of the form in which is nonzero.

Cubic function and Equation · Cubic function and Polynomial · See more »

Degree of a polynomial

The degree of a polynomial is the highest degree of its monomials (individual terms) with non-zero coefficients.

Degree of a polynomial and Equation · Degree of a polynomial and 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).

Derivative and Equation · Derivative and Polynomial · 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).

Diophantine equation and Equation · Diophantine equation and Polynomial · See more »

Economics

Economics is the social science that studies the production, distribution, and consumption of goods and services.

Economics and Equation · Economics and Polynomial · See more »

Expression (mathematics)

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Equation and Expression (mathematics) · Expression (mathematics) and Polynomial · See more »

Factorization of polynomials

In mathematics and computer algebra, factorization of polynomials or polynomial factorization is the process of expressing a polynomial with coefficients in a given field or in the integers as the product of irreducible factors with coefficients in the same domain.

Equation and Factorization of polynomials · Factorization of polynomials and Polynomial · 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.

Equation and Field (mathematics) · Field (mathematics) and Polynomial · See more »

Function (mathematics)

In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.

Equation and Function (mathematics) · Function (mathematics) and Polynomial · See more »

Gaussian elimination

In linear algebra, Gaussian elimination (also known as row reduction) is an algorithm for solving systems of linear equations.

Equation and Gaussian elimination · Gaussian elimination and Polynomial · See more »

Identity (mathematics)

In mathematics an identity is an equality relation A.

Equation and Identity (mathematics) · Identity (mathematics) and Polynomial · See more »

Integer

An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").

Equation and Integer · Integer and Polynomial · See more »

Mathematical analysis

Mathematical analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions.

Equation and Mathematical analysis · Mathematical analysis and Polynomial · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Equation and Mathematics · Mathematics and Polynomial · See more »

Monomial

In mathematics, a monomial is, roughly speaking, a polynomial which has only one term.

Equation and Monomial · Monomial and Polynomial · See more »

Multiplication

Multiplication (often denoted by the cross symbol "×", by a point "⋅", by juxtaposition, or, on computers, by an asterisk "∗") is one of the four elementary mathematical operations of arithmetic; with the others being addition, subtraction and division.

Equation and Multiplication · Multiplication and Polynomial · 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).

Equation and Numerical analysis · Numerical analysis and Polynomial · See more »

Parabola

In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.

Equation and Parabola · Parabola and Polynomial · See more »

Periodic function

In mathematics, a periodic function is a function that repeats its values in regular intervals or periods.

Equation and Periodic function · Periodic function and Polynomial · See more »

Physics

Physics (from knowledge of nature, from φύσις phýsis "nature") is the natural science that studies matterAt the start of The Feynman Lectures on Physics, Richard Feynman offers the atomic hypothesis as the single most prolific scientific concept: "If, in some cataclysm, all scientific knowledge were to be destroyed one sentence what statement would contain the most information in the fewest words? I believe it is that all things are made up of atoms – little particles that move around in perpetual motion, attracting each other when they are a little distance apart, but repelling upon being squeezed into one another..." and its motion and behavior through space and time and that studies the related entities of energy and force."Physical science is that department of knowledge which relates to the order of nature, or, in other words, to the regular succession of events." Physics is one of the most fundamental scientific disciplines, and its main goal is to understand how the universe behaves."Physics is one of the most fundamental of the sciences. Scientists of all disciplines use the ideas of physics, including chemists who study the structure of molecules, paleontologists who try to reconstruct how dinosaurs walked, and climatologists who study how human activities affect the atmosphere and oceans. Physics is also the foundation of all engineering and technology. No engineer could design a flat-screen TV, an interplanetary spacecraft, or even a better mousetrap without first understanding the basic laws of physics. (...) You will come to see physics as a towering achievement of the human intellect in its quest to understand our world and ourselves."Physics is an experimental science. Physicists observe the phenomena of nature and try to find patterns that relate these phenomena.""Physics is the study of your world and the world and universe around you." Physics is one of the oldest academic disciplines and, through its inclusion of astronomy, perhaps the oldest. Over the last two millennia, physics, chemistry, biology, and certain branches of mathematics were a part of natural philosophy, but during the scientific revolution in the 17th century, these natural sciences emerged as unique research endeavors in their own right. Physics intersects with many interdisciplinary areas of research, such as biophysics and quantum chemistry, and the boundaries of physics are not rigidly defined. New ideas in physics often explain the fundamental mechanisms studied by other sciences and suggest new avenues of research in academic disciplines such as mathematics and philosophy. Advances in physics often enable advances in new technologies. For example, advances in the understanding of electromagnetism and nuclear physics led directly to the development of new products that have dramatically transformed modern-day society, such as television, computers, domestic appliances, and nuclear weapons; advances in thermodynamics led to the development of industrialization; and advances in mechanics inspired the development of calculus.

Equation and Physics · Physics and Polynomial · 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.

Equation and Polynomial · Polynomial and Polynomial · See more »

Quadratic equation

In algebra, a quadratic equation (from the Latin quadratus for "square") is any equation having the form where represents an unknown, and,, and represent known numbers such that is not equal to.

Equation and Quadratic equation · Polynomial and Quadratic equation · 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.

Equation and Quartic function · Polynomial 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.

Equation and Quintic function · Polynomial and Quintic 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.

Equation and Rational number · Polynomial and Rational number · See more »

Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

Equation and Real number · Polynomial and Real number · 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.

Equation and René Descartes · Polynomial and René Descartes · See more »

Robert Recorde

Robert Recorde (c.1512–1558) was a Welsh physician and mathematician.

Equation and Robert Recorde · Polynomial and Robert Recorde · See more »

Root-finding algorithm

In mathematics and computing, a root-finding algorithm is an algorithm for finding roots of continuous functions.

Equation and Root-finding algorithm · Polynomial and Root-finding algorithm · See more »

Sextic equation

In algebra, a sextic polynomial is a polynomial of degree six.

Equation and Sextic equation · Polynomial and Sextic equation · See more »

Subtraction

Subtraction is an arithmetic operation that represents the operation of removing objects from a collection.

Equation and Subtraction · Polynomial and Subtraction · See more »

System of linear equations

In mathematics, a system of linear equations (or linear system) is a collection of two or more linear equations involving the same set of variables.

Equation and System of linear equations · Polynomial and System of linear equations · See more »

System of polynomial equations

A system of polynomial equations is a set of simultaneous equations f1.

Equation and System of polynomial equations · Polynomial and System of polynomial equations · See more »

Term (logic)

In analogy to natural language, where a noun phrase refers to an object and a whole sentence refers to a fact, in mathematical logic, a term denotes a mathematical object and a formula denotes a mathematical fact.

Equation and Term (logic) · Polynomial and Term (logic) · See more »

Variable (mathematics)

In elementary mathematics, a variable is a symbol, commonly an alphabetic character, that represents a number, called the value of the variable, which is either arbitrary, not fully specified, or unknown.

Equation and Variable (mathematics) · Polynomial and Variable (mathematics) · See more »

The list above answers the following questions

Equation and Polynomial Comparison

Equation has 163 relations, while Polynomial has 162. As they have in common 48, the Jaccard index is 14.77% = 48 / (163 + 162).

References

This article shows the relationship between Equation and Polynomial. To access each article from which the information was extracted, please visit:

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