WordNet Search - 3.1

Key: "S:" = Show Synset (semantic) relations, "W:" = Show Word (lexical) relations

Display options for sense: (gloss) "an example sentence"

- S: (n)
**topology**(topographic study of a given place (especially the history of the place as indicated by its topography))*"Greenland's topology has been shaped by the glaciers of the ice age"* *direct hypernym*/*inherited hypernym*/*sister term*- S: (n) topography (precise detailed study of the surface features of a region)
- S: (n) regional anatomy, topographic anatomy,
**topology**(the study of anatomy based on regions or divisions of the body and emphasizing the relations between various structures (muscles and nerves and arteries etc.) in that region) - S: (n)
**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) *domain category**direct hypernym*/*inherited hypernym*/*sister term*- S: (n) pure mathematics (the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness)
*direct hyponym*/**full hyponym**- S: (n) arithmetic (the branch of pure mathematics dealing with the theory of numerical calculations)
- S: (n) geometry (the pure mathematics of points and lines and curves and surfaces)
- S: (n) affine geometry (the geometry of affine transformations)
- S: (n) elementary geometry, parabolic geometry, Euclidean geometry ((mathematics) geometry based on Euclid's axioms)
- S: (n) fractal geometry ((mathematics) the geometry of fractals)
*"Benoit Mandelbrot pioneered fractal geometry"* - S: (n) non-Euclidean geometry ((mathematics) geometry based on axioms different from Euclid's)
*"non-Euclidean geometries discard or replace one or more of the Euclidean axioms"* - S: (n) 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)
*"Karl Gauss pioneered hyperbolic geometry"* - S: (n) elliptic geometry, Riemannian geometry ((mathematics) a non-Euclidean geometry that regards space as like a sphere and a line as like a great circle)
*"Bernhard Riemann pioneered elliptic geometry"* - S: (n) spherical geometry ((mathematics) the geometry of figures on the surface of a sphere)
- S: (n) analytic geometry, analytical geometry, coordinate geometry (the use of algebra to study geometric properties; operates on symbols defined in a coordinate system)
- S: (n) plane geometry (the geometry of 2-dimensional figures)
- S: (n) solid geometry (the geometry of 3-dimensional space)
- S: (n) projective geometry, descriptive geometry (the geometry of properties that remain invariant under projection)
- S: (n) numerical analysis ((mathematics) the branch of mathematics that studies algorithms for approximating solutions to problems in the infinitesimal calculus)
- S: (n) trigonometry, trig (the mathematics of triangles and trigonometric functions)
- S: (n) spherical trigonometry ((mathematics) the trigonometry of spherical triangles)
- S: (n) triangulation (a trigonometric method of determining the position of a fixed point from the angles to it from two fixed points a known distance apart; useful in navigation)
- S: (n) algebra (the mathematics of generalized arithmetical operations)
- S: (n) quadratics (a branch of algebra dealing with quadratic equations)
- S: (n) linear algebra (the part of algebra that deals with the theory of linear equations and linear transformation)
- S: (n) vector algebra (the part of algebra that deals with the theory of vectors and vector spaces)
- S: (n) decomposition, vector decomposition (the analysis of a vector field)
- S: (n) matrix algebra (the part of algebra that deals with the theory of matrices)
- S: (n) calculus, infinitesimal calculus (the branch of mathematics that is concerned with limits and with the differentiation and integration of functions)
- S: (n) analysis (a branch of mathematics involving calculus and the theory of limits; sequences and series and integration and differentiation)
- S: (n) Fourier analysis, harmonic analysis (analysis of a periodic function into a sum of simple sinusoidal components)
- S: (n) 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)
- S: (n) 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.)
- S: (n) calculus of variations (the calculus of maxima and minima of definite integrals)
- S: (n) set theory (the branch of pure mathematics that deals with the nature and relations of sets)
- S: (n) group theory (the branch of mathematics dealing with groups)
- S: (n) Galois theory (group theory applied to the solution of algebraic equations)
- S: (n)
**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) - S: (n) metamathematics (the logical analysis of mathematical reasoning)
*direct hypernym*/*inherited hypernym*/*sister term*- S: (n)
**topology**, network topology (the configuration of a communication network)