NOUN | cognition | maths, mathematics, math | a science (or group of related sciences) dealing with the logic / logic of quantity and shape and arrangement |
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Meaning | A science (or group of related sciences) dealing with the logic / logic of quantity and shape and arrangement. | |
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Synonyms | mathematics, math | |

Category of | Euclid's axiom, Euclid's postulate, Euclidean axiom | (mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry |

Galois theory | group theory applied to the solution of algebraic equations | |

accuracy | (mathematics) the number of significant figures given in a number | |

additive inverse | (mathematics) one of a pair of numbers whose sum is zero | |

affine | (mathematics) of or pertaining to the geometry of affine transformations | |

affine geometry | The geometry of affine transformations | |

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

algebra | The mathematics of generalized arithmetical operations | |

analysis | A branch of mathematics involving calculus and the theory of limits | |

analytic | Using or subjected to a methodology using algebra and calculus | |

analytic geometry, analytical geometry, coordinate geometry | The use of algebra to study geometric properties | |

arithmetic | The branch of pure mathematics dealing with the theory of numerical calculations | |

arithmetic progression | (mathematics) a progression in which a constant is added to each term in order to obtain the next term | |

asymmetry, dissymmetry, imbalance | (mathematics) a lack of symmetry / symmetry | |

bilinear | linear with respect to each of two variables or positions | |

binomial | Of or relating to or consisting of two terms | |

binomial | (mathematics) a quantity expressed as a sum or difference of two terms | |

biquadratic | Of or relating to the fourth power | |

bivariate | Having two variables | |

boundary condition | (mathematics) a condition specified for the solution to a set of differential equations | |

calculate, cipher, cypher, compute, work out, reckon, figure | make a mathematical calculation or computation | |

calculus, infinitesimal calculus | The branch of mathematics that is concerned with limits and with the differentiation and integration of functions | |

calculus of variations | The calculus of maxima and minima of definite integrals | |

cardinality | (mathematics) the number of elements in a set or group (considered as a property of that grouping) | |

closed | (set theory) of an interval that contains both its endpoints | |

combinatorial | relating to the combination and arrangement of elements in sets | |

commutative | (of a binary operation) independent of order | |

commute, transpose | Exchange positions without a change in value | |

complex number, complex quantity, imaginary number, imaginary | (mathematics) a number of the form a+bi where a and b are real numbers and i is the square root of -1 | |

continuous | Of a function or curve | |

converge | approach a limit as the number of terms increases without limit | |

cubic | Involving the cube and no higher power of a quantity or variable | |

develop | Expand in the form of a series | |

diagonal | (mathematics) a set of entries in a square matrix running diagonally either from the upper left to lower right entry or running from the upper right to lower left entry | |

diagonalizable | capable of being transformed into a diagonal matrix | |

differential | Involving or containing one or more derivatives | |

differential calculus, method of fluxions | The part of calculus that deals with the variation of a function with respect to changes in the independent variable (or variables) by means of the concepts of derivative and differential | |

differentiate | calculate a derivative | |

direct | Similar in nature or effect or relation to another quantity | |

discontinuous | Of a function or curve | |

disjoint | Having no elements in common | |

diverge | Have no limits as a mathematical series | |

dividable | Can be divided usually without leaving a remainder | |

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

elementary geometry, parabolic geometry, Euclidean geometry | (mathematics) geometry based on Euclid's axioms | |

eliminate | Remove (an unknown variable) from two or more equations | |

elliptic geometry, Riemannian geometry | (mathematics) a non-Euclidean geometry that regards space as like a sphere and a line as like a great circle | |

equation | A mathematical statement that two expressions are equal | |

expansion | A function expressed as a sum or product of terms | |

extract | calculate the root / root of a number | |

extrapolation | (mathematics) calculation of the value of a function outside the range of known values | |

factorization, factorisation, factoring | (mathematics) the resolution of an entity into factors such that when multiplied together they give the original entity | |

field | (mathematics) a set of elements such that addition and multiplication are commutative and associative and multiplication is distributive over addition and there are two elements 0 and 1 | |

formula, expression | A group of symbols that make a mathematical statement | |

fractal | (mathematics) a geometric pattern that is repeated at every scale and so cannot be represented by classical geometry | |

fractal geometry | (mathematics) the geometry of fractals | |

function, mathematical function, single-valued function, map, mapping | (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function) | |

geodesic, geodesic line | (mathematics) the shortest line between two points on a mathematically defined surface (as a straight line on a plane or an arc of a great circle on a sphere) | |

geometric progression | (mathematics) a progression in which each term is multiplied by a constant in order to obtain the next term | |

geometry | The pure mathematics of points and lines and curves and surfaces | |

group theory | The branch of mathematics dealing with groups | |

harmonic progression | (mathematics) a progression of terms whose reciprocals form an arithmetic progression | |

hyperbolic geometry | (mathematics) a non-Euclidean geometry in which the parallel axiom is replaced by the assumption that through any point in a plane there are two or more lines that do not intersect a given line in the plane | |

idempotent | unchanged in value following multiplication by itself | |

image, range, range of a function | (mathematics) the set of values of the dependent variable for which a function is defined | |

indeterminate | not capable of being determined | |

infinitesimal | (mathematics) a variable that has zero as its limit | |

integral calculus | The part of calculus that deals with integration and its application in the solution of differential equations and in determining areas or volumes etc. | |

integrate | calculate the integral of | |

interpolate, extrapolate | Estimate the value of | |

interpolation | (mathematics) calculation of the value of a function between the values already known | |

invariance | The nature of a quantity or property or function that remains unchanged when a given transformation is applied to it | |

invariant | unaffected by a designated operation or transformation | |

invariant | A feature (quantity or property or function) that remains unchanged when a particular transformation is applied to it | |

inverse | Opposite in nature or effect or relation to another quantity | |

irrational | Real but not expressible as the quotient of two integers | |

isometric | related by an isometry | |

iterate | Run or be performed again | |

linear, additive | Designating or involving an equation whose terms are of the first degree | |

linear algebra | The part of algebra that deals with the theory of linear equations and linear transformation | |

lower bound | (mathematics) a number equal to or less than any other number in a given set | |

mathematical | Characterized by the exactness or precision of mathematics | |

mathematical process, mathematical operation, operation | (mathematics) calculation by mathematical methods | |

mathematical relation | A relation between mathematical expressions (such as equality or inequality) | |

mathematical space, topological space | (mathematics) any set of points that satisfy a set of postulates of some kind | |

mathematical statement | A statement of a mathematical relation | |

mathematician | A person skilled in mathematics | |

matrix | (mathematics) a rectangular array of quantities or expressions set out by rows and columns | |

matrix algebra | The part of algebra that deals with the theory of matrices | |

metamathematics | The logical analysis of mathematical reasoning | |

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

monotonic, monotone | Of a sequence or function | |

multiplicative inverse, reciprocal | (mathematics) one of a pair of numbers whose product is 1 | |

negative | less than zero | |

non-Euclidean geometry | (mathematics) geometry based on axioms different from Euclid's | |

noninterchangeable | Such that the terms of an expression cannot be interchanged without changing the meaning / meaning | |

nonlinear | Designating or involving an equation whose terms are not of the first degree | |

nonmonotonic | not monotonic | |

nonnegative | Either positive or zero | |

numerical analysis | (mathematics) the branch of mathematics that studies algorithms for approximating solutions to problems in the infinitesimal calculus | |

open | (set theory) of an interval that contains neither of its endpoints | |

operator | (mathematics) a symbol or function representing a mathematical operation | |

osculate | Have at least three points in common with | |

osculation | (mathematics) a contact of two curves (or two surfaces) at which they have a common tangent | |

parallel | (mathematics) one of a set of parallel geometric figures (parallel lines or planes) | |

parity | (mathematics) a relation between a pair of integers | |

plane, sheet | (mathematics) an unbounded two-dimensional shape | |

plane geometry | The geometry of 2-dimensional figures | |

polynomial, multinomial | A mathematical function that is the sum of a number of terms | |

positive | Greater than zero | |

prime | Of or relating to or being an integer that cannot be factored into other integers | |

projective geometry, descriptive geometry | The geometry of properties that remain invariant under projection | |

proof | A formal series of statements showing that if one thing is true something else necessarily follows from it | |

prove | prove formally | |

quadratic | Of or relating to or resembling a square | |

quadratics | A branch of algebra dealing with quadratic equations | |

quantity | The concept that something has a magnitude and can be represented in mathematical expressions by a constant or a variable | |

radical | (mathematics) a quantity expressed as the root of another quantity | |

rational | capable of being expressed as a quotient of integers | |

rationalization, rationalisation | (mathematics) the simplification of an expression or equation by eliminating radicals without changing the value of the expression or the roots of the equation | |

rationalize, rationalise | Remove irrational quantities from | |

ray | (mathematics) a straight line extending from a point | |

recursion | (mathematics) an expression such that each term is generated by repeating a particular mathematical operation | |

recursive definition | (mathematics) a definition of a function from which values of the function can be calculated in a finite number of steps | |

reduce | simplify the form of a mathematical equation of expression by substituting one term for another | |

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

reflexivity, reflexiveness | (logic and mathematics) a relation such that it holds between an element and itself | |

representable | expressible in symbolic form | |

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

round | (mathematics) expressed to the nearest integer, ten, hundred, or thousand | |

rounding, rounding error | (mathematics) a miscalculation that results from rounding off numbers / numbers to a convenient number of decimals | |

rule, formula | (mathematics) a standard procedure for solving a class of mathematical problems | |

scalene | Of a triangle having three sides of different lengths | |

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

set | (mathematics) an abstract collection of numbers or symbols | |

set theory | The branch of pure mathematics that deals with the nature and relations of sets | |

solid | Having three dimensions | |

solid geometry | The geometry of 3-dimensional space | |

spherical geometry | (mathematics) the geometry of figures on the surface of a sphere | |

spherical trigonometry | (mathematics) the trigonometry of spherical triangles | |

subgroup | (mathematics) a subset (that is not empty) of a mathematical group | |

symmetry, symmetricalness, correspondence, balance | (mathematics) an attribute of a shape or relation | |

topology, analysis situs | The branch of pure mathematics that deals only with the properties of a figure X that hold for every figure into which X can be transformed with a one-to-one correspondence that is continuous in both directions | |

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

transitivity | (logic and mathematics) a relation between three elements such that if it holds between the first and second and it also holds between the second and third it must necessarily hold between the first and third | |

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

trigonometry, trig | The mathematics of triangles and trigonometric functions | |

truncate | Approximate by ignoring all terms beyond a chosen one | |

truncation error | (mathematics) a miscalculation that results from cutting off a numerical calculation before it is finished | |

undividable, indivisible by | Cannot be divided without leaving a remainder | |

universal set | (mathematics) the set that contains all the elements or objects involved in the problem under consideration | |

upper bound | (mathematics) a number equal to or greater than any other number in a given set | |

vector algebra | The part of algebra that deals with the theory of vectors and vector spaces | |

Category | science, scientific discipline | A particular branch of scientific knowledge |

Narrower | applied mathematics, applied math | The branches of mathematics that are involved in the study of the physical or biological or sociological world |

pure mathematics | The branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness | |

Broader | science, scientific discipline | A particular branch of scientific knowledge |

Spanish | ciencias exactas, matemática, matemáticas, matemático, mates | |

Catalan | ciències exactes, matemàtica, matemàtiques |

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