the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness (noun.cognition)
(mathematics) the simplification of an expression or equation by eliminating radicals without changing the value of the expression or the roots of the more..(mathematics) the simplification of an expression or equation by eliminating radicals without changing the value of the expression or the roots of the equation(noun.act)
(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 mo more..(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(noun.cognition)
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 co more..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(noun.cognition)
the part of calculus that deals with integration and its application in the solution of differential equations and in determining areas or volumes etc more..the part of calculus that deals with integration and its application in the solution of differential equations and in determining areas or volumes etc.(noun.cognition)
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 more..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(noun.cognition)
(mathematics) a set of elements such that addition and multiplication are commutative and associative and multiplication is distributive over addition more..(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(noun.group)
(mathematics) a rectangular array of quantities or expressions set out by rows and columns; treated as a single element and manipulated according to r more..(mathematics) a rectangular array of quantities or expressions set out by rows and columns; treated as a single element and manipulated according to rules(noun.group)
(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 t more..(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(noun.group)
(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 more..(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)(noun.linkdef)
(mathematics) a transformation in which the origin of the coordinate system is moved to another position but the direction of each axis remains the sa more..(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(noun.linkdef)
(mathematics) a relation between a pair of integers: if both integers are odd or both are even they have the same parity; if one is odd and the other more..(mathematics) a relation between a pair of integers: if both integers are odd or both are even they have the same parity; if one is odd and the other is even they have different parity(noun.linkdef)
(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 more..(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(noun.linkdef)
(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 more..(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)(noun.shape)