Algebra
Symbols, equations, functions and abstract relationships.
Areas within Algebra
Arithmetic
Core number operations, ratios, fractions and numerical reasoning.
197 wordsAlgebra
Symbols, equations, functions and abstract relationships.
114 wordsGeometry
Shape, space, measurement and spatial proof.
75 wordsCalculus
Rates of change, accumulation, limits and continuous functions.
32 wordsProbability
Chance, uncertainty, random events and distributions.
57 wordsStatistics and data science
Data, variation, inference, modelling and evidence.
12 wordsCombinatorics
Specialist vocabulary classified under Mathematics.
19 wordsDifferential equations
Specialist vocabulary classified under Mathematics.
7 wordsDiscrete mathematics
Specialist vocabulary classified under Mathematics.
2 wordsLinear algebra
Specialist vocabulary classified under Mathematics.
12 wordsMathematical analysis
Specialist vocabulary classified under Mathematics.
10 wordsMathematical logic
Specialist vocabulary classified under Mathematics.
46 wordsMathematical statistics
Specialist vocabulary classified under Mathematics.
85 wordsNumber theory
Specialist vocabulary classified under Mathematics.
14 wordsNumerical analysis
Specialist vocabulary classified under Mathematics.
4 wordsOptimisation
Specialist vocabulary classified under Mathematics.
7 wordsSet theory
Specialist vocabulary classified under Mathematics.
65 wordsTopology
Specialist vocabulary classified under Mathematics.
11 wordsTrigonometry
Specialist vocabulary classified under Mathematics.
8 words117 featured terms
The database can contain more terms than shown here; this page prioritises the strongest mappings.
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
Inequalitynounlack of equality; "the growing inequality between rich and poor"
Inverse functionnouna function obtained by expressing the dependent variable of one function as the independent variable of another; f and g are inverse functions i…
Simultaneous equationsnouna 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
Equationnouna mathematical statement that two expressions are equal
Expressionnouna group of symbols that make a mathematical statement
Formulanouna 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…
Multinomialnouna mathematical function that is the sum of a number of terms
Polynomialnouna 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…
Variablenouna symbol (like x or y) that is used in mathematical or logical expressions to represent a variable quantity
eigenvaluenounA number showing how a transformation stretches a special direction.
Absolute viscositynouna measure of the resistance to flow of a fluid under an applied force
Absorptancenouna measure of the rate of decrease in the intensity of electromagnetic radiation (as light) as it passes through a given substance; the fraction…
Absorption coefficientnouna 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 absorptionnouna 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 dragnounthe 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 expansionnounthe fractional change in length or area or volume per unit change in temperature at a given constant pressure
Coefficient of frictionnounthe 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 inductionnouna 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 reflectionnounthe fraction of radiant energy that is reflected from a surface
Coefficient of self inductionnounthe 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 viscositynouna measure of the resistance to flow of a fluid under an applied force
Disparitynouninequality or difference in some respect
Drag coefficientnounthe ratio of the drag on a body moving through air to the product of the velocity and the surface area of the body
Dynamic viscositynouna measure of the resistance to flow of a fluid under an applied force
Expansivitynounthe 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 inductancenouna 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…
Nonequivalencenounnot interchangeable
Reflectancenounthe fraction of radiant energy that is reflected from a surface
Reflection factornounthe fraction of radiant energy that is reflected from a surface
Reflectivitynounthe fraction of radiant energy that is reflected from a surface
Self-inductancenounthe ratio of the electromotive force produced in a circuit by self-induction to the rate of change of current producing it, expressed in henries
Transmissionnounthe fraction of radiant energy that passes through a substance
Transmittancenounthe fraction of radiant energy that passes through a substance
Unevennessnounthe 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
Cubicadjectiveinvolving the cube and no higher power of a quantity or variable; "a cubic equation"
Expansionnouna function expressed as a sum or product of terms; "the expansion of (a+b)^2 is a^2 + 2ab + b^2"
Quadraticadjectiveinvolving the second and no higher power of a quantity or degree; "quadratic equation"
Biquadraticnouna polynomial of the fourth degree
Biquadraticnounan equation of the fourth degree
Circular functionnounfunction of an angle expressed as a ratio of the length of the sides of right-angled triangle containing the angle
Convergencenounthe approach of an infinite series to a finite limit
Convergencynounthe approach of an infinite series to a finite limit
Differential equationnounan equation containing differentials of a function
Divergencenounan infinite series that has no limit
Divergencynounan infinite series that has no limit
Exponentialnouna function in which an independent variable appears as an exponent
Exponential functionnouna function in which an independent variable appears as an exponent
Exponential seriesnouna series derived from the expansion of an exponential expression
Fourier seriesnounthe sum of a series of trigonometric expressions; used in the analysis of periodic functions
Geometric seriesnouna 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…
Isometrynouna 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 deltanouna function of two variables i and j that equals 1 when i=j and equals 0 otherwise
Linear functionnouna mathematical function whose graph (in Cartesian coordinates with uniform scales) is a line in the plane.; "The height (in centimeters) of a ca…
Metricnouna function of a topological space that gives, for any two points in the space, a value equal to the distance between them
Metric functionnouna function of a topological space that gives, for any two points in the space, a value equal to the distance between them
Onto functionnouna 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 seriesnounthe sum of terms containing successively higher integral powers of a variable
Primitivenouna mathematical expression from which another expression is derived
Quadraticnouna polynomial of the second degree
Quadraticnounan equation in which the highest power of an unknown quantity is a square
Surjectionnouna 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 functionnouna 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 functionnouna 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 functionnounfunction of an angle expressed as a ratio of the length of the sides of right-angled triangle containing the angle
Unknownnouna variable whose values are solutions of an equation
Disconnectnounan unbridgeable disparity (as from a failure of understanding); "he felt a gulf between himself and his former friends"; "there is a vast discon…
Disconnectionnounan unbridgeable disparity (as from a failure of understanding); "he felt a gulf between himself and his former friends"; "there is a vast discon…
Disproportionnounlack of proportion; imbalance among the parts of something
Dissymmetrynounlack of proportion; imbalance among the parts of something
Gapnouna conspicuous disparity or difference as between two figures; "gap between income and outgo"; "the spread between lending and borrowing costs"
Gulfnounan unbridgeable disparity (as from a failure of understanding); "he felt a gulf between himself and his former friends"; "there is a vast discon…
Spreadnouna 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
Cosecantnounratio of the hypotenuse to the opposite side of a right-angled triangle
Cosinenounratio of the adjacent side to the hypotenuse of a right-angled triangle
Cotangentnounratio of the adjacent to the opposite side of a right-angled triangle
Identitynounan operator that leaves unchanged the element on which it operates; "the identity under numerical multiplication is 1"
Identity elementnounan operator that leaves unchanged the element on which it operates; "the identity under numerical multiplication is 1"
Identity operatornounan operator that leaves unchanged the element on which it operates; "the identity under numerical multiplication is 1"
Linear operatornounan operator that obeys the distributive law: A(f+g) = Af + Ag (where f and g are functions)
Maxwell's equationsnounfour differential equations that summarize classical properties of electromagnetic fields
Partial differential equationnouna differential equation involving a functions of more than one variable
Quanticnouna 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 equationnounthe fundamental equation of wave mechanics
Schrodinger wave equationnounthe fundamental equation of wave mechanics
Secnounratio of the hypotenuse to the adjacent side of a right-angled triangle
Secantnounratio of the hypotenuse to the adjacent side of a right-angled triangle
Sinnounratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle
Sinenounratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle
Tannounratio of the opposite to the adjacent side of a right-angled triangle
Tangentnounratio 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 equationnouna differential equation that describes the passage of harmonic waves through a medium
