163 relations: Abel–Ruffini theorem, Abstract algebra, Addition, Alexandria, Algebra, Algebraic curve, Algebraic equation, Algebraic expression, Algebraic geometry, Algebraic number, Algebraic solution, Algebraic surface, Algebraic variety, Algorithm, Almost all, Analytic geometry, Antiderivative, Approximation, Biology, Cancelling out, Cartesian coordinate system, Cassini oval, Chemistry, Circle, Classical electromagnetism, Clearing denominators, Commutative algebra, Complex number, Computer science, Computer simulation, Cone, Conic section, Coordinate system, Cubic function, Cubic plane curve, Curve, Degree of a polynomial, Dependent and independent variables, Derivative, Difference of two squares, Differential equation, Dimension, Diophantine equation, Diophantus, Division (mathematics), Dynamical system, Economics, Elasticity (physics), Electrostatics, Elementary function, ..., Ellipse, Elliptic curve, Engineering, Equality (mathematics), Equals sign, Equation solving, Euclidean geometry, Expression (mathematics), Extraneous and missing solutions, Factorization of polynomials, Field (mathematics), Five Equations That Changed the World, Fluid dynamics, Formula, Formula editor, Function (mathematics), Functional analysis, Functional equation, Gaussian elimination, Geometry, Heat, History of algebra, Hyperbola, Identity (mathematics), Implicit function, Inequality (mathematics), Inequation, Inflection point, Integer, Integral equation, Integro-differential equation, Latinisation of names, Lattice (group), Lemniscate of Bernoulli, Line (geometry), Linear algebra, Linear equation, Linearization, List of equations, List of mathematical symbols, List of scientific equations named after people, List of trigonometric identities, Lists of shapes, Manifold, Mathematical analysis, Mathematical model, Mathematics, Monomial, Multidimensional system, Multiplication, Multivariable calculus, Nonlinear system, Number, Number theory, Numerical analysis, Numerical linear algebra, Numerical methods for ordinary differential equations, Octic equation, Operation (mathematics), Ordinary differential equation, Parabola, Parameter, Parametric equation, Partial derivative, Partial differential equation, Periodic function, Perpendicular, Physics, Pi, Plane (geometry), Point (geometry), Point at infinity, Polynomial, Polynomial expansion, Pure mathematics, Quadratic equation, Quantum mechanics, Quartic function, Quintic function, Rational number, Real number, Recurrence relation, René Descartes, Robert Recorde, Root-finding algorithm, Seesaw, Septic equation, Sextic equation, Sides of an equation, Sign (mathematics), Sine, Singular point of a curve, Solution set, Sound, Space (mathematics), Stochastic partial differential equation, Subtraction, Surface (topology), System of equations, System of linear equations, System of polynomial equations, Term (logic), Theory of equations, Topology, Transcendental equation, Transcendental function, Transcendental number, Trigonometric functions, Trigonometry, Unit circle, Unit vector, Variable (mathematics), Weighing scale. Expand index (113 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!!: Equation and Abel–Ruffini theorem · 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.

New!!: Equation and Abstract algebra · 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.

New!!: Equation and Addition · See more »

## Alexandria

Alexandria (or; Arabic: الإسكندرية; Egyptian Arabic: إسكندرية; Ⲁⲗⲉⲝⲁⲛⲇⲣⲓⲁ; Ⲣⲁⲕⲟⲧⲉ) is the second-largest city in Egypt and a major economic centre, extending about along the coast of the Mediterranean Sea in the north central part of the country.

New!!: Equation and Alexandria · 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!!: Equation and Algebra · See more »

## Algebraic curve

In mathematics, a plane real algebraic curve is the set of points on the Euclidean plane whose coordinates are zeros of some polynomial in two variables.

New!!: Equation and Algebraic curve · 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!!: Equation and Algebraic equation · 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).

New!!: Equation and Algebraic expression · See more »

## Algebraic geometry

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

New!!: Equation and Algebraic geometry · See more »

## Algebraic number

An algebraic number is any complex number (including real numbers) that is a root of a non-zero polynomial (that is, a value which causes the polynomial to equal 0) in one variable with rational coefficients (or equivalently – by clearing denominators – with integer coefficients).

New!!: Equation and Algebraic number · See more »

## Algebraic solution

An algebraic solution or solution in radicals is a closed-form expression, and more specifically a closed-form algebraic expression, that is the solution of an algebraic equation in terms of the coefficients, relying only on addition, subtraction, multiplication, division, raising to integer powers, and the extraction of nth roots (square roots, cube roots, and other integer roots).

New!!: Equation and Algebraic solution · See more »

## Algebraic surface

In mathematics, an algebraic surface is an algebraic variety of dimension two.

New!!: Equation and Algebraic surface · See more »

## Algebraic variety

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

New!!: Equation and Algebraic variety · See more »

## Algorithm

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

New!!: Equation and Algorithm · See more »

## Almost all

In mathematics, the term "almost all" means "all but a negligible amount".

New!!: Equation and Almost all · See more »

## Analytic geometry

In classical mathematics, analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system.

New!!: Equation and Analytic geometry · 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.

New!!: Equation and Antiderivative · See more »

## Approximation

An approximation is anything that is similar but not exactly equal to something else.

New!!: Equation and Approximation · See more »

## Biology

Biology is the natural science that studies life and living organisms, including their physical structure, chemical composition, function, development and evolution.

New!!: Equation and Biology · See more »

## Cancelling out

Cancelling out is a mathematical process used for removing subexpressions from a mathematical expression, when this removal does not change the meaning or the value of the expression because the subexpressions have equal and opposing effects.

New!!: Equation and Cancelling out · See more »

## Cartesian coordinate system

A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length.

New!!: Equation and Cartesian coordinate system · See more »

## Cassini oval

A Cassini oval is a quartic plane curve defined as the set (or locus) of points in the plane such that the product of the distances to two fixed points is constant.

New!!: Equation and Cassini oval · 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.

New!!: Equation and Chemistry · See more »

## Circle

A circle is a simple closed shape.

New!!: Equation and Circle · See more »

## Classical electromagnetism

Classical electromagnetism or classical electrodynamics is a branch of theoretical physics that studies the interactions between electric charges and currents using an extension of the classical Newtonian model.

New!!: Equation and Classical electromagnetism · See more »

## Clearing denominators

In mathematics, the method of clearing denominators, also called clearing fractions, is a technique for simplifying an equation equating two expressions that each are a sum of rational expressions – which includes simple fractions.

New!!: Equation and Clearing denominators · See more »

## Commutative algebra

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

New!!: Equation and Commutative algebra · 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!!: Equation and Complex number · See more »

## Computer science

Computer science deals with the theoretical foundations of information and computation, together with practical techniques for the implementation and application of these foundations.

New!!: Equation and Computer science · See more »

## Computer simulation

Computer simulation is the reproduction of the behavior of a system using a computer to simulate the outcomes of a mathematical model associated with said system.

New!!: Equation and Computer simulation · See more »

## Cone

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base (frequently, though not necessarily, circular) to a point called the apex or vertex.

New!!: Equation and Cone · 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!!: Equation and Conic section · See more »

## Coordinate system

In geometry, a coordinate system is a system which uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

New!!: Equation and Coordinate system · See more »

## Cubic function

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

New!!: Equation 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!!: Equation and Cubic plane curve · See more »

## Curve

In mathematics, a curve (also called a curved line in older texts) is, generally speaking, an object similar to a line but that need not be straight.

New!!: Equation and Curve · 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!!: Equation and Degree of a polynomial · See more »

## Dependent and independent variables

In mathematical modeling, statistical modeling and experimental sciences, the values of dependent variables depend on the values of independent variables.

New!!: Equation and Dependent and independent variables · 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!!: Equation and Derivative · See more »

## Difference of two squares

In mathematics, the difference of two squares is a squared (multiplied by itself) number subtracted from another squared number.

New!!: Equation and Difference of two squares · See more »

## Differential equation

A differential equation is a mathematical equation that relates some function with its derivatives.

New!!: Equation and Differential equation · See more »

## Dimension

In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it.

New!!: Equation and Dimension · 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!!: Equation 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!!: Equation and Diophantus · See more »

## Division (mathematics)

Division is one of the four basic operations of arithmetic, the others being addition, subtraction, and multiplication.

New!!: Equation and Division (mathematics) · See more »

## Dynamical system

In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in a geometrical space.

New!!: Equation and Dynamical system · See more »

## Economics

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

New!!: Equation and Economics · See more »

## Elasticity (physics)

In physics, elasticity (from Greek ἐλαστός "ductible") is the ability of a body to resist a distorting influence and to return to its original size and shape when that influence or force is removed.

New!!: Equation and Elasticity (physics) · See more »

## Electrostatics

Electrostatics is a branch of physics that studies electric charges at rest.

New!!: Equation and Electrostatics · See more »

## Elementary function

In mathematics, an elementary function is a function of one variable which is the composition of a finite number of arithmetic operations, exponentials, logarithms, constants, and solutions of algebraic equations (a generalization of ''n''th roots).

New!!: Equation and Elementary function · See more »

## Ellipse

In mathematics, an ellipse is a curve in a plane surrounding two focal points such that the sum of the distances to the two focal points is constant for every point on the curve.

New!!: Equation and Ellipse · See more »

## Elliptic curve

In mathematics, an elliptic curve is a plane algebraic curve defined by an equation of the form which is non-singular; that is, the curve has no cusps or self-intersections.

New!!: Equation and Elliptic curve · See more »

## Engineering

Engineering is the creative application of science, mathematical methods, and empirical evidence to the innovation, design, construction, operation and maintenance of structures, machines, materials, devices, systems, processes, and organizations.

New!!: Equation and Engineering · See more »

## Equality (mathematics)

In mathematics, equality is a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object.

New!!: Equation and Equality (mathematics) · See more »

## Equals sign

The equals sign or equality sign is a mathematical symbol used to indicate equality.

New!!: Equation and Equals sign · See more »

## Equation solving

In mathematics, to solve an equation is to find its solutions, which are the values (numbers, functions, sets, etc.) that fulfill the condition stated by the equation, consisting generally of two expressions related by an equality sign.

New!!: Equation and Equation solving · See more »

## Euclidean geometry

Euclidean geometry is a mathematical system attributed to Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements.

New!!: Equation and Euclidean geometry · 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.

New!!: Equation and Expression (mathematics) · See more »

## Extraneous and missing solutions

In mathematics, an extraneous solution (or spurious solution) is a solution, such as that to an equation, that emerges from the process of solving the problem but is not a valid solution to the problem.

New!!: Equation and Extraneous and missing solutions · 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.

New!!: Equation and Factorization of polynomials · 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!!: Equation and Field (mathematics) · See more »

## Five Equations That Changed the World

Five Equations That Changed the World: The Power and Poetry of Mathematics is a book by Michael Guillen, published in 1995.

New!!: Equation and Five Equations That Changed the World · See more »

## Fluid dynamics

In physics and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids - liquids and gases.

New!!: Equation and Fluid dynamics · See more »

## Formula

In science, a formula is a concise way of expressing information symbolically, as in a mathematical formula or a chemical formula.

New!!: Equation and Formula · See more »

## Formula editor

A formula editor is a name for a computer program that is used to typeset mathematical works or formulae.

New!!: Equation and Formula editor · See more »

## Function (mathematics)

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

New!!: Equation and Function (mathematics) · See more »

## Functional analysis

Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear functions defined on these spaces and respecting these structures in a suitable sense.

New!!: Equation and Functional analysis · See more »

## Functional equation

In mathematics, a functional equation is any equation in which the unknown represents a function.

New!!: Equation and Functional equation · See more »

## Gaussian elimination

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

New!!: Equation and Gaussian elimination · See more »

## Geometry

Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

New!!: Equation and Geometry · See more »

## Heat

In thermodynamics, heat is energy transferred from one system to another as a result of thermal interactions.

New!!: Equation and Heat · See more »

## History of algebra

As a branch of mathematics, algebra emerged at the end of the 16th century in Europe, with the work of François Viète.

New!!: Equation and History of algebra · See more »

## Hyperbola

In mathematics, a hyperbola (plural hyperbolas or hyperbolae) is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set.

New!!: Equation and Hyperbola · See more »

## Identity (mathematics)

In mathematics an identity is an equality relation A.

New!!: Equation and Identity (mathematics) · See more »

## Implicit function

In mathematics, an implicit equation is a relation of the form R(x_1,\ldots, x_n).

New!!: Equation and Implicit function · See more »

## Inequality (mathematics)

In mathematics, an inequality is a relation that holds between two values when they are different (see also: equality).

New!!: Equation and Inequality (mathematics) · See more »

## Inequation

In mathematics, an inequation is a statement that an inequality holds between two values.

New!!: Equation and Inequation · 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!!: Equation and Inflection point · 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").

New!!: Equation and Integer · See more »

## Integral equation

In mathematics, an integral equation is an equation in which an unknown function appears under an integral sign.

New!!: Equation and Integral equation · See more »

## Integro-differential equation

In mathematics, an integro-differential equation is an equation that involves both integrals and derivatives of a function.

New!!: Equation and Integro-differential equation · See more »

## Latinisation of names

Latinisation or Latinization is the practice of rendering a non-Latin name (or word) in a Latin style.

New!!: Equation and Latinisation of names · See more »

## Lattice (group)

In geometry and group theory, a lattice in \mathbbR^n is a subgroup of the additive group \mathbb^n which is isomorphic to the additive group \mathbbZ^n, and which spans the real vector space \mathbb^n.

New!!: Equation and Lattice (group) · See more »

## Lemniscate of Bernoulli

In geometry, the lemniscate of Bernoulli is a plane curve defined from two given points F1 and F2, known as foci, at distance 2a from each other as the locus of points P so that PF1·PF2.

New!!: Equation and Lemniscate of Bernoulli · See more »

## Line (geometry)

The notion of line or straight line was introduced by ancient mathematicians to represent straight objects (i.e., having no curvature) with negligible width and depth.

New!!: Equation and Line (geometry) · See more »

## Linear algebra

Linear algebra is the branch of mathematics concerning linear equations such as linear functions such as and their representations through matrices and vector spaces.

New!!: Equation and Linear algebra · See more »

## Linear equation

In mathematics, a linear equation is an equation that may be put in the form where x_1, \ldots, x_n are the variables or unknowns, and c, a_1, \ldots, a_n are coefficients, which are often real numbers, but may be parameters, or even any expression that does not contain the unknowns.

New!!: Equation and Linear equation · See more »

## Linearization

In mathematics, linearization is finding the linear approximation to a function at a given point.

New!!: Equation and Linearization · See more »

## List of equations

This is a list of equations, by Wikipedia page under appropriate bands of maths, science and engineering.

New!!: Equation and List of equations · See more »

## List of mathematical symbols

This is a list of symbols used in all branches of mathematics to express a formula or to represent a constant.

New!!: Equation and List of mathematical symbols · See more »

## List of scientific equations named after people

This is a list of scientific equations named after people (eponymous equations).

New!!: Equation and List of scientific equations named after people · See more »

## List of trigonometric identities

In mathematics, trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables where both sides of the equality are defined.

New!!: Equation and List of trigonometric identities · See more »

## Lists of shapes

This is an index of lists of geometric shapes and related topics.

New!!: Equation and Lists of shapes · See more »

## Manifold

In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.

New!!: Equation and Manifold · 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.

New!!: Equation and Mathematical analysis · See more »

## Mathematical model

A mathematical model is a description of a system using mathematical concepts and language.

New!!: Equation and Mathematical model · See more »

## Mathematics

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

New!!: Equation and Mathematics · See more »

## Monomial

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

New!!: Equation and Monomial · See more »

## Multidimensional system

In mathematical systems theory, a multidimensional system or m-D system is a system in which not only one dependent variable exists (like time), but there are several independent variables.

New!!: Equation and Multidimensional system · 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.

New!!: Equation and Multiplication · See more »

## Multivariable calculus

Multivariable calculus (also known as multivariate calculus) is the extension of calculus in one variable to calculus with functions of several variables: the differentiation and integration of functions involving multiple variables, rather than just one.

New!!: Equation and Multivariable calculus · See more »

## Nonlinear system

In mathematics and science, a nonlinear system is a system in which the change of the output is not proportional to the change of the input.

New!!: Equation and Nonlinear system · See more »

## Number

A number is a mathematical object used to count, measure and also label.

New!!: Equation and Number · See more »

## Number theory

Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.

New!!: Equation and Number theory · 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!!: Equation and Numerical analysis · See more »

## Numerical linear algebra

Numerical linear algebra is the study of algorithms for performing linear algebra computations, most notably matrix operations, on computers.

New!!: Equation and Numerical linear algebra · See more »

## Numerical methods for ordinary differential equations

Numerical methods for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs).

New!!: Equation and Numerical methods for ordinary differential equations · See more »

## Octic equation

In algebra, an octic equation is an equation of the form where.

New!!: Equation and Octic equation · See more »

## Operation (mathematics)

In mathematics, an operation is a calculation from zero or more input values (called operands) to an output value.

New!!: Equation and Operation (mathematics) · See more »

## Ordinary differential equation

In mathematics, an ordinary differential equation (ODE) is a differential equation containing one or more functions of one independent variable and its derivatives.

New!!: Equation and Ordinary differential equation · See more »

## Parabola

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

New!!: Equation and Parabola · See more »

## Parameter

A parameter (from the Ancient Greek παρά, para: "beside", "subsidiary"; and μέτρον, metron: "measure"), generally, is any characteristic that can help in defining or classifying a particular system (meaning an event, project, object, situation, etc.). That is, a parameter is an element of a system that is useful, or critical, when identifying the system, or when evaluating its performance, status, condition, etc.

New!!: Equation and Parameter · See more »

## Parametric equation

In mathematics, a parametric equation defines a group of quantities as functions of one or more independent variables called parameters.

New!!: Equation and Parametric equation · See more »

## Partial derivative

In mathematics, a partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held constant (as opposed to the total derivative, in which all variables are allowed to vary).

New!!: Equation and Partial derivative · See more »

## Partial differential equation

In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives.

New!!: Equation and Partial differential equation · See more »

## Periodic function

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

New!!: Equation and Periodic function · See more »

## Perpendicular

In elementary geometry, the property of being perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees).

New!!: Equation and Perpendicular · 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.

New!!: Equation and Physics · See more »

## Pi

The number is a mathematical constant.

New!!: Equation and Pi · See more »

## Plane (geometry)

In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far.

New!!: Equation and Plane (geometry) · See more »

## Point (geometry)

In modern mathematics, a point refers usually to an element of some set called a space.

New!!: Equation and Point (geometry) · See more »

## Point at infinity

In geometry, a point at infinity or ideal point is an idealized limiting point at the "end" of each line.

New!!: Equation and Point at infinity · 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!!: Equation and Polynomial · See more »

## Polynomial expansion

In mathematics, an expansion of a product of sums expresses it as a sum of products by using the fact that multiplication distributes over addition.

New!!: Equation and Polynomial expansion · See more »

## Pure mathematics

Broadly speaking, pure mathematics is mathematics that studies entirely abstract concepts.

New!!: Equation and Pure mathematics · 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.

New!!: Equation and Quadratic equation · See more »

## Quantum mechanics

Quantum mechanics (QM; also known as quantum physics, quantum theory, the wave mechanical model, or matrix mechanics), including quantum field theory, is a fundamental theory in physics which describes nature at the smallest scales of energy levels of atoms and subatomic particles.

New!!: Equation and Quantum mechanics · 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!!: Equation 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!!: Equation 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.

New!!: Equation 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.

New!!: Equation 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!!: Equation 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!!: Equation and René Descartes · See more »

## Robert Recorde

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

New!!: Equation 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.

New!!: Equation and Root-finding algorithm · See more »

## Seesaw

A seesaw (also known as a teeter-totter or teeterboard) is a long, narrow board supported by a single pivot point, most commonly located at the midpoint between both ends; as one end goes up, the other goes down.

New!!: Equation and Seesaw · See more »

## Septic equation

In algebra, a septic equation is an equation of the form where.

New!!: Equation and Septic equation · See more »

## Sextic equation

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

New!!: Equation and Sextic equation · See more »

## Sides of an equation

In mathematics, LHS is informal shorthand for the left-hand side of an equation.

New!!: Equation and Sides of an equation · See more »

## Sign (mathematics)

In mathematics, the concept of sign originates from the property of every non-zero real number of being positive or negative.

New!!: Equation and Sign (mathematics) · See more »

## Sine

In mathematics, the sine is a trigonometric function of an angle.

New!!: Equation and Sine · See more »

## Singular point of a curve

In geometry, a singular point on a curve is one where the curve is not given by a smooth embedding of a parameter.

New!!: Equation and Singular point of a curve · See more »

## Solution set

In mathematics, a solution set is the set of values that satisfy a given set of equations or inequalities.

New!!: Equation and Solution set · See more »

## Sound

In physics, sound is a vibration that typically propagates as an audible wave of pressure, through a transmission medium such as a gas, liquid or solid.

New!!: Equation and Sound · See more »

## Space (mathematics)

In mathematics, a space is a set (sometimes called a universe) with some added structure.

New!!: Equation and Space (mathematics) · See more »

## Stochastic partial differential equation

Stochastic partial differential equations (SPDEs) generalize partial differential equations via random force terms and coefficients, in the same way ordinary stochastic differential equations generalize ordinary differential equations.

New!!: Equation and Stochastic partial differential equation · See more »

## Subtraction

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

New!!: Equation and Subtraction · See more »

## Surface (topology)

In topology and differential geometry, a surface is a two-dimensional manifold, and, as such, may be an "abstract surface" not embedded in any Euclidean space.

New!!: Equation and Surface (topology) · See more »

## System of equations

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

New!!: Equation and System of equations · 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.

New!!: Equation and System of linear equations · See more »

## System of polynomial equations

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

New!!: Equation 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.

New!!: Equation and Term (logic) · See more »

## Theory of equations

In algebra, the theory of equations is the study of algebraic equations (also called “polynomial equations”), which are equations defined by a polynomial.

New!!: Equation and Theory of equations · See more »

## Topology

In mathematics, topology (from the Greek τόπος, place, and λόγος, study) is concerned with the properties of space that are preserved under continuous deformations, such as stretching, crumpling and bending, but not tearing or gluing.

New!!: Equation and Topology · See more »

## Transcendental equation

A transcendental equation is an equation containing a transcendental function of the variable(s) being solved for.

New!!: Equation and Transcendental equation · See more »

## Transcendental function

A transcendental function is an analytic function that does not satisfy a polynomial equation, in contrast to an algebraic function.

New!!: Equation and Transcendental function · See more »

## Transcendental number

In mathematics, a transcendental number is a real or complex number that is not algebraic—that is, it is not a root of a nonzero polynomial equation with integer (or, equivalently, rational) coefficients.

New!!: Equation and Transcendental number · See more »

## Trigonometric functions

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are functions of an angle.

New!!: Equation and Trigonometric functions · 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!!: Equation and Trigonometry · See more »

## Unit circle

In mathematics, a unit circle is a circle with a radius of one.

New!!: Equation and Unit circle · See more »

## Unit vector

In mathematics, a unit vector in a normed vector space is a vector (often a spatial vector) of length 1.

New!!: Equation and Unit vector · 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.

New!!: Equation and Variable (mathematics) · See more »

## Weighing scale

Weighing scales (or weigh scales or scales) are devices to measure weight.

New!!: Equation and Weighing scale · See more »

## Redirects here:

Axioms of an equation, Axioms of equation, Endogenous variable, Equation (mathematics), Equations, Math equation, Math equations, Mathematical equation, Mathematical equations, Mathematical unknown, Scientific Equation, Solution point, Types of equations, Unknown (algebra), Unknown (math), Unknown (mathematical), Unknown (mathematics), Unknown (maths).

## References

[1] https://en.wikipedia.org/wiki/Equation