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) irrational number,
**irrational**(a real number that cannot be expressed as a rational number)

- S: (adj)
**irrational**(not consistent with or using reason)*"irrational fears"; "irrational animals"* - S: (adj)
**irrational**(real but not expressible as the quotient of two integers)*"irrational numbers"* *domain category*- S: (n) mathematics, math, maths (a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement)
*direct hyponym*/**full hyponym**- 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)
- 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)
- S: (n) applied mathematics, applied math (the branches of mathematics that are involved in the study of the physical or biological or sociological world)
- S: (n) linear programming (a mathematical technique used in economics; finds the maximum or minimum of linear functions in many variables subject to constraints)
- S: (n) statistics (a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters)
- S: (n) correlation, correlational statistics (a statistical relation between two or more variables such that systematic changes in the value of one variable are accompanied by systematic changes in the other)
- S: (n) curvilinear correlation, nonlinear correlation, skew correlation (any correlation in which the rates of change of the variables is not constant)
- S: (n) partial correlation (a correlation between two variables when the effects of one or more related variables are removed)
- S: (n) first-order correlation (a partial correlation in which the effects of only one variable are removed (held constant))
- S: (n) positive correlation, direct correlation (a correlation in which large values of one variable are associated with large values of the other and small with small; the correlation coefficient is between 0 and +1)
- S: (n) negative correlation, indirect correlation (a correlation in which large values of one variable are associated with small values of the other; the correlation coefficient is between 0 and -1)
- S: (n) spurious correlation (a correlation between two variables (e.g., between the number of electric motors in the home and grades at school) that does not result from any direct relation between them (buying electric motors will not raise grades) but from their relation to other variables)
- S: (n) nonparametric statistics (the branch of statistics dealing with variables without making assumptions about the form or the parameters of their distribution)
- S: (n) biometrics, biometry, biostatistics (a branch of biology that studies biological phenomena and observations by means of statistical analysis)
- S: (n) probability theory, theory of probability (the branch of applied mathematics that deals with probabilities)
*domain category**domain term category**direct hypernym*/*inherited hypernym*/*sister term**derivationally related form**pertainym**antonym*