Specialist dictionary

Algebra

Symbols, equations, functions and abstract relationships.

Core vocabulary

117 featured terms

The database can contain more terms than shown here; this page prioritises the strongest mappings.

Coefficientnoun

a constant number that serves as a measure of some property or characteristic

Factoringnoun

(mathematics) the resolution of an expression into factors such that when multiplied together they give the original expression

Factorisationnoun

(mathematics) the resolution of an expression into factors such that when multiplied together they give the original expression

Factorizationnoun

(mathematics) the resolution of an expression into factors such that when multiplied together they give the original expression

Inequalitynoun

lack of equality; "the growing inequality between rich and poor"

Inverse functionnoun

a function obtained by expressing the dependent variable of one function as the independent variable of another; f and g are inverse functions i…

Simultaneous equationsnoun

a set of equations in two or more variables for which there are values that can satisfy all the equations simultaneously

Domainnoun

(mathematics) the set of values of the independent variable for which a function is defined

Domain of a functionnoun

(mathematics) the set of values of the independent variable for which a function is defined

Equationnoun

a mathematical statement that two expressions are equal

Expressionnoun

a group of symbols that make a mathematical statement

Formulanoun

a group of symbols that make a mathematical statement

Functionnoun

(mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of anothe…

Imagenoun

(mathematics) the set of values of the dependent variable for which a function is defined; "the image of f(x) = x^2 is the set of all non-negati…

Mapnoun

(mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of anothe…

Mappingnoun

(mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of anothe…

Mathematical functionnoun

(mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of anothe…

Multinomialnoun

a mathematical function that is the sum of a number of terms

Polynomialnoun

a mathematical function that is the sum of a number of terms

Rangenoun

(mathematics) the set of values of the dependent variable for which a function is defined; "the image of f(x) = x^2 is the set of all non-negati…

Range of a functionnoun

(mathematics) the set of values of the dependent variable for which a function is defined; "the image of f(x) = x^2 is the set of all non-negati…

Seriesnoun

(mathematics) the sum of a finite or infinite sequence of expressions

Single-valued functionnoun

(mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of anothe…

Variablenoun

a symbol (like x or y) that is used in mathematical or logical expressions to represent a variable quantity

eigenvaluenoun

A number showing how a transformation stretches a special direction.

Absolute viscositynoun

a measure of the resistance to flow of a fluid under an applied force

Absorptancenoun

a measure of the rate of decrease in the intensity of electromagnetic radiation (as light) as it passes through a given substance; the fraction…

Absorption coefficientnoun

a measure of the rate of decrease in the intensity of electromagnetic radiation (as light) as it passes through a given substance; the fraction…

Coefficient of absorptionnoun

a measure of the rate of decrease in the intensity of electromagnetic radiation (as light) as it passes through a given substance; the fraction…

Coefficient of dragnoun

the ratio of the drag on a body moving through air to the product of the velocity and the surface area of the body

Coefficient of expansionnoun

the fractional change in length or area or volume per unit change in temperature at a given constant pressure

Coefficient of frictionnoun

the ratio of the weight of an object being moved along a surface and the force that maintains contact between the object and the surface

Coefficient of mutual inductionnoun

a measure of the induction between two circuits; the ratio of the electromotive force in a circuit to the corresponding change of current in a n…

Coefficient of reflectionnoun

the fraction of radiant energy that is reflected from a surface

Coefficient of self inductionnoun

the ratio of the electromotive force produced in a circuit by self-induction to the rate of change of current producing it, expressed in henries

Coefficient of viscositynoun

a measure of the resistance to flow of a fluid under an applied force

Disparitynoun

inequality or difference in some respect

Drag coefficientnoun

the ratio of the drag on a body moving through air to the product of the velocity and the surface area of the body

Dynamic viscositynoun

a measure of the resistance to flow of a fluid under an applied force

Expansivitynoun

the fractional change in length or area or volume per unit change in temperature at a given constant pressure

Modulusnoun

(physics) a coefficient that expresses how much of a specified property is possessed by a specified substance

Mutual inductancenoun

a measure of the induction between two circuits; the ratio of the electromotive force in a circuit to the corresponding change of current in a n…

Nonequivalencenoun

not interchangeable

Reflectancenoun

the fraction of radiant energy that is reflected from a surface

Reflection factornoun

the fraction of radiant energy that is reflected from a surface

Reflectivitynoun

the fraction of radiant energy that is reflected from a surface

Self-inductancenoun

the ratio of the electromotive force produced in a circuit by self-induction to the rate of change of current producing it, expressed in henries

Transmissionnoun

the fraction of radiant energy that passes through a substance

Transmittancenoun

the fraction of radiant energy that passes through a substance

Unevennessnoun

the quality of being unbalanced

Weightnoun

(statistics) a coefficient assigned to elements of a frequency distribution in order to represent their relative importance

Weightingnoun

(statistics) a coefficient assigned to elements of a frequency distribution in order to represent their relative importance

Cubicadjective

involving the cube and no higher power of a quantity or variable; "a cubic equation"

Expansionnoun

a function expressed as a sum or product of terms; "the expansion of (a+b)^2 is a^2 + 2ab + b^2"

Quadraticadjective

involving the second and no higher power of a quantity or degree; "quadratic equation"

Biquadraticnoun

a polynomial of the fourth degree

Biquadraticnoun

an equation of the fourth degree

Circular functionnoun

function of an angle expressed as a ratio of the length of the sides of right-angled triangle containing the angle

Convergencenoun

the approach of an infinite series to a finite limit

Convergencynoun

the approach of an infinite series to a finite limit

Differential equationnoun

an equation containing differentials of a function

Divergencenoun

an infinite series that has no limit

Divergencynoun

an infinite series that has no limit

Exponentialnoun

a function in which an independent variable appears as an exponent

Exponential functionnoun

a function in which an independent variable appears as an exponent

Exponential seriesnoun

a series derived from the expansion of an exponential expression

Fourier seriesnoun

the sum of a series of trigonometric expressions; used in the analysis of periodic functions

Geometric seriesnoun

a geometric progression written as a sum

Homothecynoun

(mathematics) an isotropic scaling transformation of an affine space with a single fixed point.; "Successive applications of homotheties with co…

Homothetynoun

(mathematics) an isotropic scaling transformation of an affine space with a single fixed point.; "Successive applications of homotheties with co…

Isometrynoun

a one-to-one mapping of one metric space into another metric space that preserves the distances between each pair of points; "the isometries of…

Kronecker deltanoun

a function of two variables i and j that equals 1 when i=j and equals 0 otherwise

Linear functionnoun

a mathematical function whose graph (in Cartesian coordinates with uniform scales) is a line in the plane.; "The height (in centimeters) of a ca…

Metricnoun

a function of a topological space that gives, for any two points in the space, a value equal to the distance between them

Metric functionnoun

a function of a topological space that gives, for any two points in the space, a value equal to the distance between them

Onto functionnoun

a mathematical function that is an onto mapping.; "In fact, if we define a ρ-kernel as the kernel of any surjection of the two graphs of interes…

Operatornoun

(mathematics) a symbol or function representing a mathematical operation

Power seriesnoun

the sum of terms containing successively higher integral powers of a variable

Primitivenoun

a mathematical expression from which another expression is derived

Quadraticnoun

a polynomial of the second degree

Quadraticnoun

an equation in which the highest power of an unknown quantity is a square

Surjectionnoun

a mathematical function that is an onto mapping.; "In fact, if we define a ρ-kernel as the kernel of any surjection of the two graphs of interes…

Surjective functionnoun

a mathematical function that is an onto mapping.; "In fact, if we define a ρ-kernel as the kernel of any surjection of the two graphs of interes…

Threshold functionnoun

a function that takes the value 1 if a specified function of the arguments exceeds a given threshold and 0 otherwise

Transformationnoun

(mathematics) a function that changes the position or direction of the axes of a coordinate system

Trigonometric functionnoun

function of an angle expressed as a ratio of the length of the sides of right-angled triangle containing the angle

Unknownnoun

a variable whose values are solutions of an equation

Disconnectnoun

an unbridgeable disparity (as from a failure of understanding); "he felt a gulf between himself and his former friends"; "there is a vast discon…

Disconnectionnoun

an unbridgeable disparity (as from a failure of understanding); "he felt a gulf between himself and his former friends"; "there is a vast discon…

Disproportionnoun

lack of proportion; imbalance among the parts of something

Dissymmetrynoun

lack of proportion; imbalance among the parts of something

Gapnoun

a conspicuous disparity or difference as between two figures; "gap between income and outgo"; "the spread between lending and borrowing costs"

Gulfnoun

an unbridgeable disparity (as from a failure of understanding); "he felt a gulf between himself and his former friends"; "there is a vast discon…

Spreadnoun

a conspicuous disparity or difference as between two figures; "gap between income and outgo"; "the spread between lending and borrowing costs"

Affine transformationnoun

(mathematics) a transformation that is a combination of single transformations such as translation or rotation or reflection on an axis

Cosecantnoun

ratio of the hypotenuse to the opposite side of a right-angled triangle

Cosinenoun

ratio of the adjacent side to the hypotenuse of a right-angled triangle

Cotangentnoun

ratio of the adjacent to the opposite side of a right-angled triangle

Identitynoun

an operator that leaves unchanged the element on which it operates; "the identity under numerical multiplication is 1"

Identity elementnoun

an operator that leaves unchanged the element on which it operates; "the identity under numerical multiplication is 1"

Identity operatornoun

an operator that leaves unchanged the element on which it operates; "the identity under numerical multiplication is 1"

Linear operatornoun

an operator that obeys the distributive law: A(f+g) = Af + Ag (where f and g are functions)

Maxwell's equationsnoun

four differential equations that summarize classical properties of electromagnetic fields

Partial differential equationnoun

a differential equation involving a functions of more than one variable

Quanticnoun

a homogeneous polynomial having at least two variables

Reflectionnoun

(mathematics) a transformation in which the direction of one axis is reversed

Rotationnoun

(mathematics) a transformation in which the coordinate axes are rotated by a fixed angle about the origin

Schrodinger equationnoun

the fundamental equation of wave mechanics

Schrodinger wave equationnoun

the fundamental equation of wave mechanics

Secnoun

ratio of the hypotenuse to the adjacent side of a right-angled triangle

Secantnoun

ratio of the hypotenuse to the adjacent side of a right-angled triangle

Sinnoun

ratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle

Sinenoun

ratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle

Tannoun

ratio of the opposite to the adjacent side of a right-angled triangle

Tangentnoun

ratio of the opposite to the adjacent side of a right-angled triangle

Translationnoun

(mathematics) a transformation in which the origin of the coordinate system is moved to another position but the direction of each axis remains…

Wave equationnoun

a differential equation that describes the passage of harmonic waves through a medium