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mathematics vocabulary
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The present entry presents a list of words you can typically hear in mathematical circles. When used in mathematical writing, these terms often have specific meanings which can differ significantly from their meanings in everyday language.
- a posteriori
- a priori
- Abelian
- abstract
- abuse
- acute
- ad hoc
- add, addition
- adjacent
- adjoint
- affine
- æolotropic
- alphabet
- analogous, analogy
- analysis, analytic
- angle
- anisotropic (as in anisotropic vector)
- ansatz
- apex
- applied
- approximate
- arc
- Archimedean
- area
- argument
- assume, assumption
- asymptote
- automorphism
- autonomous
- axiom, axiomatic
- azimuth
- barycenter
- basis
- biharmonic
- bilinear
- bisector
- bisectrix
- boundary
- bounded
- branch
- branes (p-branes)
- bundle (as in tangent bundle)
- calculate
- calculus
- canonical
- Cartesian
- category
- cell
- character
- characterization
- chord
- circular (as in circular argument and circular reasoning)
- circulation
- class
- classic
- clear, clearly
- closed, closure
- codomain
- collapse
- compact
- compass
- complete
- complex
- concave, concavity
- concrete
- condition
- cone
- confocal
- conformal
- congruence, congruent
- conjecture
- conjugate
- conjugation
- connected
- constrain, constraint
- construct, constructible, construction, constructive
- contact
- continuous
- continuum
- contract, contraction
- contractible
- convex, convexity
- coordinate
- corollary
- cosecant
- cosine
- cotangent
- countable
- counterexample
- contradiction
- convergence, convergent
- cover, covering
- criteria, criterion
- critery
- cross (as in cross product and cross section)
- crystalline
- curve
- curvilinear
- cut
- dependence, dependent
- definition, define
- deformable, deformation
- degree
- dense
- derivation
- derivative
- diagram chasing
- difference
- different
- differentiate, differentiation
- diffeomorphism
- dilate, dilation
- dilemma
- divergence
- divide, division
- divides, divisible, divisor
- domain
- dual
- eigenvalue
- eigenvector
- elliptic
- embedding
- empty
- endomorphism
- envelope
- equal
- evaluate, evaluation
- even
- evident
- evolute
- exact (as in exact sequence)
- exhaust, exhaustion
- existential
- expected
- explicit
- expression
- extend, extension
- false
- field
- fix, fixed
- focus
- form
- formal
- formula, formulae
- fractal
- function
- functional
- functor
- geometry
- general, generalization
- generate, generating, generator
- genus
- graph
- group
- handwaving
- harmonic
- height
- heuristics
- homeomorphism
- homogeneous
- homomorphism
- homotecy
- hyper-
- hypotenuse
- hypothesis
- ideal
- if and only if, iff
- imaginary
- implication, implies, imply
- implicit
- identification, identify
- identity
- independence, independent
- index
- induce
- induction
- inert, inertia
- inferior (as in limit inferior)
- infinite, infinity
- inject, injection
- integer
- integral
- integrate, integration
- interior
- intersect, intersection
- invariance, invariant
- inverse
- invertible
- involute
- irrational
- isomorphism
- isoperimeter, isoperimetric
- isotropic (as in isotropic vector)
- isotropy (as in isotropy subgroup)
- Jacobian
- join
- kernel
- kurtosis
- language
- Laplacian
- lattice
- leg
- lemma
- length
- lift, lifting
- limit
- line
- linear
- logic
- manifold
- map, mapping
- matrix
- mean
- measure, measurable
- median
- mediatrix
- model
- module
- multi-
- necessary
- negative
- nerve
- nested
- non-
- normal
- notation
- null
- number
- numerable
- obtuse
- obvious
- odd
- ODE
- open
- operation
- order
- orthocenter
- orthogonal
- orthonormal
- orthotropic
- oscillating
- osculate, osculating
- paradox
- partial
- particular
- partition
- path
- pathological
- PDE
- perimeter
- period, periodic, periodicity
- pi
- piecewise
- plane
- point
- polar
- positive
- postulate
- potential
- power
- precisely
- prime
- primitive
- probability
- product
- project, projection
- proper
- proposition
- pyramid
- quaternion
- QED, Q.E.D.
- QEF, Q.E.F.
- quotient
- radical
- radius, radii
- ramification, ramified, ramify
- range
- rank
- ratio
- rational
- razor (as in Occam's razor)
- real
- reflexive
- region
- regular
- relation
- remainder
- represent, representation
- resolvent
- rest
- restrict, restriction
- resultant
- rig
- rigid
- ring
- root
- rotation
- rotor
- rule of inference
- ruler
- secant
- sector
- secular
- self-
- segment
- semi-
- sequence
- series
- set closed under an operation
- similar
- simple
- sine
- singleton
- singular
- slope
- smash
- smooth
- solid
- solution
- space
- spectral (as in spectral radius and spectral sequence)
- spectrum
- sphere, spherical
- split
- square
- square root
- star, star-shaped
- statistic, statistics
- stereographic (as in stereographic projection)
- straightedge
- strain
- stress
- strength
- strict
- structure
- subset
- subscript
- subtract, subtraction
- sufficient
- sum, summation
- superior (as in limit superior)
- superscript
- suppose, supposition
- surface
- suspension
- symbol
- symmetry
- tangent
- tautology
- tensor, tensorial
- term
- TFAE, the following are equivalent
- theorem
- theoretical
- therefore sign
- topology, topological
- total
- toy (as in toy theorem)
- trajectory
- transcend, transcendence, transcendental
- transient
- translate, translation
- triangle, triangular
- trivial
- true
- type
- uncountable
- uniform, uniformly
- unique, uniqueness
- unit, unity
- universal
- universe
- vacuous
- valuation
- value
- vanish
- variable
- variance
- variation
- variational (as in variational calculus)
- variety
- vector, vectorial
- volume
- wedge (as in wedge product)
- well defined, well-defined
- wild
- WLOG, WOLOG, without loss of generality
- word
- Wronskian
- zero, zeroes, zeros
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Cross-references: Wronskian, WLOG, wild, well defined, wedge product, wedge, volume, vector, variety, variation, variance, variable, vanish, valuation, vacuous, universe, universal, unity, unit, uncountable, type, triangle, translation, translate, transcendental, toy theorem, topology, therefore sign, theorem, TFAE, term, tensorial, tensor, tautology, tangent, symmetry, suspension, surface, superscript, limit superior, sum, sufficient, subtraction, subscript, subset, structure, strict, strain, straightedge, stereographic projection, statistic, star-shaped, star, square root, square, sphere, spectrum, spectral sequence, spectral radius, solution, solid, smooth, slope, singular, singleton, sine, simple, similar, set closed under an operation, series, sequence, segment, sector, secant, ruler, rule of inference, rotor, rotation, root, ring, rigid, rig, resultant, restriction, resolvent, representation, represent, remainder, relation, regular, region, Reflexive, real, Occam's razor, rational, ratio, rank, range, ramification, radii, radius, radical, quotient, QEF, QED, quaternion, pyramid, proposition, projection, project, product, primitive, prime, power, potential, postulate, positive, polar, point, plane, piecewise, pi, periodicity, periodic, period, perimeter, PDE, pathological, partition, orthonormal, orthogonal, orthocenter, order, operation, open, ODE, odd, obtuse, number, null, normal, nerve, negative, necessary, module, median, measurable, measure, mean, matrix, map, manifold, logic, line, limit, lifting, lift, length, lemma, leg, lattice, Laplacian, language, kurtosis, kernel, join, Jacobian, isotropy subgroup, isotropic vector, irrational, invertible, inverse, invariant, intersect, interior, integral, integer, infinity, infinite, limit inferior, inert, induction, induce, index, independent, identity, implies, implication, imaginary, iff, ideal, hypothesis, hypotenuse, homogeneous, homeomorphism, height, harmonic, group, graph, genus, generator, generating, generate, geometry, functor, functional, function, fractal, focus, fix, field, extension, expression, exact sequence, evolute, even, envelope, embedding, eigenvector, eigenvalue, domain, divisor, divisible, division, divide, divergence, dilemma, dilation, diffeomorphism, differentiation, differentiate, difference, derivative, derivation, dense, degree, deformation, cut, curve, cross section, cross product, covering, cover, convergent, contradiction, counterexample, countable, cotangent, cosine, cosecant, corollary, coordinate, convex, contractible, contraction, continuum, continuous, constructible, connected, conjugation, conjugate, conjecture, congruent, congruence, conformal, confocal, cone, concave, complex, complete, compass, compact, codomain, closure, closed, clear, class, circular argument, circular, chord, characterization, character, cell, category, canonical, Calculus, calculate, tangent bundle, branch, bounded, boundary, bisector, bilinear, basis, barycenter, axiom, autonomous, automorphism, asymptote, argument, area, archimedean, arc, apex, Ansatz, anisotropic vector, angle, analytic, alphabet, adjoint, adjacent, addition, ad hoc, acute, abelian, a priori
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This is version 89 of mathematics vocabulary, born on 2004-09-30, modified 2008-04-21.
Object id is 6259, canonical name is MathematicsVocabulary.
Accessed 10348 times total.
Classification:
| AMS MSC: | 00A99 (General :: General and miscellaneous specific topics :: Miscellaneous topics) | | | 00A20 (General :: General and miscellaneous specific topics :: Dictionaries and other general reference works) |
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Pending Errata and Addenda
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