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nontrivial kernel

Толкование Перевод

1 nontrivial kernel

мат. нетривиальное ядро

Большой англо-русский и русско-английский словарь > nontrivial kernel
2 nontrivial kernel

Математика: нетривиальное ядро

Универсальный англо-русский словарь > nontrivial kernel
3 nontrivial kernel

мат.

нетривиальное ядро

English-Russian scientific dictionary > nontrivial kernel
4 kernel

1) зерно, зёрнышко

2) керн

3) матем. кернфункция

4) сердцевина; ядро

•

kernel on the left — алг. ядро слева

kernel on the right — алг. ядро справа

kernel with a summable square — алг. ядро с суммируемым квадратом

kernel with a weak singularity — алг. ядро со слабой особенностью

- absolutely integrable kernel

- adjoint kernel

- algebraic kernel

- almost degenerated kernel

- analytical kernel

- anisotropic kernel

- antisymmetric kernel

- approximative kernel

- associated kernel

- autocorrelational kernel

- autocovariational kernel

- automaton kernel

- auxiliary kernel

- averaging kernel

- backward kernel

- basic kernel

- bell-shaped kernel

- binomial kernel

- bounded kernel

- butterfly kernel

- butterfly-shaped kernel

- canonical kernel

- closed kernel

- compact kernel

- complete kernel

- conjugate kernel

- continuous in the mean kernel

- continuous kernel

- contractible kernel

- convexity preserving kernel

- convolution kernel

- correspondence kernel

- covariance kernel

- cyclic kernel

- definite kernel

- degenerate kernel

- dense-in-itself kernel

- difference kernel

- dimensional kernel

- distinguished kernel

- elementary kernel

- equation kernel

- equivalence kernel

- ergodic kernel

- exponential kernel

- extendible kernel

- externally stable kernel

- factorizing kernel

- formal kernel

- fully ordered kernel

- fundamental kernel

- general kernel

- generalized kernel

- geometric kernel

- ideal kernel

- improper kernel

- incomplete kernel

- indecomposable kernel

- indefinite kernel

- inessentially singular kernel

- infinitesimal kernel

- information kernel

- integrated kernel

- interaction kernel

- internally stable kernel
- intrinsically singular kernel
- invariant kernel

- irreflexive kernel

- iterated kernel

- kernel of a complex sequence
- kernel of a linear operator - kernel of a singular integral - kernel of a summation method
- kernel of action

- kernel of endomorphism

- kernel of game

- kernel of homomorphism

- kernel of integral equation
- kernel of integral operator - kernel of integral transformation
- kernel of integral

- kernel of morphism

- kernel of pairing

- kernel of representation

- kernel of semigroup

- kernel of sequence

- kernel of set

- kernel of spectrum

- left kernel

- line kernel

- linear kernel

- locally convex kernel
- locally finite kernel
- logarithmic kernel

- logarithmically divergent kernel

- logical kernel

- lower kernel

- maximal kernel

- measurable kernel

- minimax kernel

- modified kernel

- monotone kernel

- multidimensional kernel

- negative definite kernel

- negative kernel

- nonfinite kernel

- nonnegative definite kernel
- nonpositive definite kernel
- nonsymmetric kernel

- nontrivial kernel

- normalizable kernel

- odd kernel

- one-dimensional kernel

- open kernel

- operator kernel

- ordinal kernel

- orthogonal kernel

- oscillation kernel

- path kernel

- payoff kernel

- periodic kernel

- perturbed kernel

- plane kernel

- polar kernel

- positive kernel

- potential kernel

- prime kernel

- primitive kernel

- product moment kernel
- proper covariance kernel
- pseudo kernel

- pseudoreproducing kernel

- pseudoresolvent kernel

- quadratically integrable kernel

- quasipositive kernel

- random kernel

- real kernel

- reciprocal kernel

- reduced kernel

- regular kernel

- regularized kernel

- reproducible kernel

- right kernel

- row kernel

- sample kernel

- self-conjugate kernel

- semidefinite kernel

- semisimple kernel

- separable kernel

- sign regular kernel

- singular kernel

- skew-symmetric kernel

- solving kernel

- spectral kernel

- stochastic kernel

- strictly positive kernel

- subergodic kernel

- substochastic kernel

- symmetrizable kernel

- system kernel

- torsionless kernel

- total kernel

- totally positive kernel

- transient kernel

- transposed kernel

- triangular kernel

- unbounded kernel

- uniformly bounded kernel

- unperturbed kernel

- unsymmetrical kernel

- upper kernel

- utility kernel

- variation kernel

English-Russian scientific dictionary > kernel
5 нетривиальное ядро

nontrivial kernel мат.

Русско-английский научно-технический словарь Масловского > нетривиальное ядро
6 нетривиальное ядро

мат. nontrivial kernel

Большой англо-русский и русско-английский словарь > нетривиальное ядро
7 нетривиальное ядро

Mathematics: nontrivial kernel

Универсальный русско-английский словарь > нетривиальное ядро
8 function

1) функция, действие || функционировать; действовать

- decision-making function
- essential functions - routine function - safety-related functions
2) функциональное назначение; роль

- auxiliary function
- circuit function - intrinsic function - metering function - primary function - robot function
- system function

3) функциональное подразделение ( предприятия)

- maintenance function
- planning function - service function - support function
4) функциональный узел ( машины)

- press function

5) матем. функциональная зависимость, функция

domain of a function — область определения функции, область изменения независимой переменной

function is periodic in — функция периодична по

function onto itself — отображение (функции) на себя

function vanishes — функция обращается в нуль

function with angular limit — функция с угловым пределом

function with vanishing derivative — функция с равной нулю производной

function without zeros — не обращающаяся в нуль функция

to be an explicit function of — зависеть явно от

to be an implicit function of — зависеть неявно от

- Abelian function

- absolute density function
- absolutely additive function - absolutely bounded function - absolutely continuous function - absolutely integrable function - absolutely monotone function - absolutely summable function - absolutely symmetric function
- abstract function

- accuracy function

- acidity function

- acyclic function

- additive random function

- advanced function

- affect function

- affine function

- algebraically definable function

- algebroid function

- almost bounded function
- almost complex function - almost continuous function - almost convex function - almost everywhere defined function - almost everywhere finite function - almost invariant function - almost periodic function - almost recursive function - almost separably-valued function - almost separating function - almost universal function
- alpha function

- alternating function

- ambiguous function

- analytically extended function
- analytically independent function - analytically representable function
- angle function

- antianalytic function

- antiholomorphic function

- antihyperbolic function

- antilinear function

- antiperiodic function

- antisymmetric function

- antitone function

- antitrigonometric function

- aperiodic function

- Appell function

- approximately continuous function
- approximately differentiable function
- arbitrary function

- arcus function

- area function

- arithmetical function

- arithmetically extensible function

- associated function

- asymmetric function

- asymptotic function

- asymptotical distribution function
- asymptotically differentiable function - asymptotically finite function - asymptotically uniformly optimal function
- atomic function

- attainability function

- autocovariance function

- autocovariance generating function

- automorphic function

- auxiliary function

- averaged function

- averaging function

- balayage function

- barrier function

- basis function

- behavioral function

- beta binomial function

- beta incomplete function

- biadditive function

- biaffine function

- bias function

- bicomplex function

- bicubic function

- biharmonic function

- biinvariant function

- bijective function

- bilinear function

- bimodal function

- bimultiplicative function

- binding function

- binomial distribution function

- binonlinear function

- biregular function

- biunique function

- bivariate function

- boundary characteristic function

- boundary characteristic function

- boundary function

- bounded above function
- bounded below function
- bounded function

- bracket function

- broad function

- broken-line function

- bulb function

- bump function

- canonical function

- canonically definable function

- capacity function

- carpeting function

- carrier function

- casino function

- causal function

- cellwise constant function
- cellwise continuous function
- centering function

- certain function

- chain function

- chance function

- chi-square function

- choice function

- chord function

- chromatic function

- circularly symmetric function
- circumferentially mean p-valent function
- class function

- close to convex function

- cluster function

- clutching function

- codimension function

- coefficient function

- coercive function

- cofinite function

- coherence function

- collapsing function

- color function

- combinatorial function

- combined function

- commutator function

- compact function

- compactly supported function

- compact-valued function

- comparative function
- comparison function - complementary error function
- complementary function

- complementary trigonometric function
- complete analytic function - completely additive function - completely computable function - completely monotone function - completely multiplicative function - completely productive function - completely subadditive function - completely symmetrical function - completely undefined function - complex hyperbolic function
- complex-valued function

- complicated function

- component function

- composite function

- computably ambiguous function

- concave-convex function

- concentrated function

- concentration function

- concordant function

- conditional power function
- conditional risk function
- cone function

- confluent function

- confluent hypergeometric function

- congruence function

- conical function

- conjugate function

- connecting function

- consistent function

- constant-preserving function

- constrained function

- constraint function

- constructive function

- constructively nonrecursive function

- consumption function

- content function

- contiguous function

- continuously differentiable function

- continuum function

- contracting function

- contraction function

- contrast transfer function

- convergent function

- converse function

- convex-concave function

- cosecant function

- cosine function

- cospectral function

- cost function

- cosuperharmonic function

- cotangent function

- countably additive function
- countably multiplicative function - countably valued function
- counting function

- course-of-value function

- covariance function
- covariant function
- cramp function

- created function

- creating function

- criterion function

- critical function

- crosscorrelation function

- cross-covariance function

- cross-variance function

- cumulant function

- cumulant generating function
- cumulative distribution function - cumulative frequency function
- cup function

- curvilinear function

- cuspidal function

- cyclically monotone function

- cyclometric function

- cylinder function

- decay function

- decoding function

- decomposable function

- decomposing function

- defect function
- deficiency function
- deficient function

- degenerate function

- delta function

- denumerably-valued function

- dependence function

- depletion function

- derived function

- descriptive function

- design function

- determinate function

- diagonal function

- diagonalization function

- dibeta function

- difference function

- differential function

- digamma function

- dilogarithmic function

- dimensional function

- dimensionless function

- directing function

- discontinuous function

- discrete function

- discriminant function

- disjoined function

- dispersion function

- dissipative function

- distance function

- disturbing function

- ditonic function

- divergence-free vector function

- divergent function

- divisor function

- dominant function

- donor function

- don't care function
- double limit function
- double-spectral function

- double-valued function

- doubly orthogonal function
- doubly periodic function - doubly recursive function
- dual function

- dyadic function

- effective function

- effectively calculable function
- effectively computable function - effectively constant function - effectively decidable function - effectively variable function
- effectiveness function

- efficiency function

- elementarily recursive function
- elementarily symmetric function
- ellipsoidal function

- elliptic cylinder function

- empirical function

- empty function

- encoding function

- endogeneous function

- entire function of finite type
- entire function of maximum type - entire function of mean type - entire function of potential type - entire function of zero type - entire rational function
- entropy function

- enumerating function

- enumeration function

- envelope function

- equal-ripple function

- equibounded function

- equilibrium function

- equivalence function

- essentially bounded function
- essentially increasing function - essentially integrable function - essentially real function - essentially smooth function
- estimable function

- estimating function

- everywhere continuous function
- everywhere differentiable function - everywhere smooth function
- excessive function

- excitation function

- exhaustion function

- expandable function
- expansible function
- expansion function

- expansive function

- expectation function

- expenditure function

- explicitly bounded function
- explicitly definable function - exponentially convex function - exponentially decreasing function - exponentially increasing function - exponentially multiplicative function - exponentially vanishing function
- extendable function

- extended function

- extensional function

- exterior function

- extremal function

- extremized function

- extremum function

- factor function

- factorable function

- factored function

- factorial function

- fatigue function

- feably oscillating function

- featureless function

- field function

- filter function

- filtration function

- final state function

- finitary function

- finite-dimensional function

- finitely additive function
- finitely mean valent function - finitely measurable function
- finite-path function

- fitted function

- flat function

- flow function

- force function

- forcing function

- forecast function

- formally ordered function

- fractional function

- frequency distribution function

- frequency function

- full function

- fully closed function

- function of a single variable
- function of appropriate behavior - function of bounded characteristic - function of bounded type - function of bounded variation - function of complex variable - function of exponential type - function of finite genus - function of finite variation - function of fractional order
- function of function

- function of high smoothness
- function of infinite type - function of integral order
- function of intervals

- function of matrix

- function of maximal growth
- function of maximal type - function of minimal type - function of mixed variables - function of normal type - function of number theory - function of one variable
- function of phase

- function of position

- function of random variable
- function of rapid descent - function of rapid growth - function of real variable
- function of set

- function of several complex variables

- function of singularities

- function of state

- function of support

- function of time

- function of transition

- function of two variables

- fundamental function

- fuzzy function

- gage function

- gage-like function

- game function

- general recursive function
- general universal function - geometric carrier function
- given function

- global defining function

- goniometric function

- grammatical function

- graph-valued function

- greatest-integer function

- group function

- group-reduction function

- growth function

- halo function

- harmonizable function

- height-gain function

- hemicylindrical function

- Herglotz function

- heuristic function

- higher function

- homographic function

- homology function

- homotopic function

- hyperanalytic function

- hyperarithmetical function

- hyperbolic cylinder function

- hypercomplex function

- hyperelliptic function

- hyperharmonic function

- hyperrank function

- hyperspherical function

- hypertranscendental function

- hypoanalytic function

- ideal function

- imaginary function

- immediate successor function
- implicitly definable function
- improper function

- impulse function

- inclusion function

- inclusive function

- incomplete beta function
- incomplete dibeta function - incomplete gamma function - incomplete tribeta function - incompletely defined function
- increment function

- indecomposable function

- indefinite function

- index function

- indicial function

- individual function

- induced function

- inductive function

- inductively definable function
- inductively defined function - inductively integrable function
- infinite function

- infinitely differentiable function
- infinitely divisible function - infinitely many-valued function
- infinitesimal function

- information function

- information-packing function

- initial function

- injective function

- inner function

- input function

- insolvency function

- integrable function

- integral function of mean type
- integral logarithmic function
- integrating function

- intensity function

- interior function

- intermediary function

- interpolating function

- interpolatory function

- interval function

- inverse hyperbolic function
- inverse trigonometric function - inverted beta function
- invertible function

- irrational function

- irreducible function

- irregular function

- isotone function

- iterated function

- iteration function
- iterative function - joint correlation function - joint density function
- kernel function

- kinked function

- knapsack function

- lacunary function

- lambda function

- lattice function

- Lauricella function

- left-continuous function

- left-invariant function

- left-invertible function

- lexical function

- lifting function

- likelihood function

- limit of function

- limitable function

- limiting function

- linear discriminant function

- linearized function

- linearly dependent function
- linearly separable function
- local function

- locally analytic function

- locally approximable function
- locally bounded function - locally constant function - locally holomorphic function - locally homogeneous function - locally integrable function - locally negligible function - locally regular function - locally summable function - logarithmic generating function - logarithmic integral function
- logarithmically concave function

- logarithmically convex function
- logarithmically infinite function - logarithmically plurisubharmonic function - logarithmically subharmonic function
- logarithmico-exponential function

- logical addition function

- logical function

- logical multiplication function

- logistic function

- log-likelihood function

- loss-of-utility function

- lower closed function

- lower function

- lower measurable function
- lower semicontinuous function
- majorizing function

- many-valued function

- mapping function

- marginal distribution function

- mathematical function

- matrix function

- matrix-convex function

- maximal function

- mean-value function

- measurable function

- measure function

- measure-limited function

- mechanically computable function

- member function

- meromorphic function

- mesh function

- metaharmonic function

- metapragmatic function

- metasemantic function

- metaspherical function

- minimal function

- minimizing function

- minimum function

- minority function

- mixing function

- modified function

- modular function

- molecular set function

- moment generating function

- moment-generating function

- monochromatic function

- monodromic function

- monogenic function

- monomial function

- monomially alternating function
- monotone non-decreasing function - monotone non-increasing function
- monotonic function

- multiaffine function

- multiconstrained function

- multidimensional function

- multiextremal function

- multilinear function

- multiplace function

- multiple valued function

- multiplicity function

- multiplier function

- multiply harmonic function
- multiply periodic function - multiply recursive function
- multithreshold function

- multivalent function

- multivalued function

- multivariable function

- multivariant function

- mutual covariance function

- n-ary function

- nearly continuous function
- negative definite function - negative infinite function
- negligible function

- never-decreasing function

- never-increasing function

- next-state function

- nice function

- n-linear function

- n-metacaloric function

- noise function

- nomographic function

- nonanalytic function

- nonanticipative random function

- nonatomic function

- nonbounded function

- nonconstant function

- nondecreasing function

- nondegenerate function

- nondifferentiable function

- nonelementary function

- nonharmonizable function

- nonincreasing function

- noniterated function

- nonlattice function

- nonmonotonic function

- nonnegative definite function

- nonnegative function

- nonpositive function

- nonrandom function

- nonrecursive function

- nonsymmetrical density function
- nontangentially bounded function
- nontrivial function

- nonvanishing function

- norm function

- normalizable function

- normalized coherence function
- normalized function - normed function - nowhere continuous function - nowhere differentiable function - nowhere monotonic function
- n-place function

- n-point function

- n-th order function
- n-times differentiable function - n-tuply periodic function
- null function

- number-theoretical function

- numeralwise decidable function
- numeralwise expressible function - numeralwise representable function - numerical function - numerically valued function - oblate spheroidal function
- observation function

- odd function

- omega function

- one-loop function

- one-parameter function

- one-periodic function

- one-place function

- one-sheeted function

- one-sided function

- one-step function

- one-valued function

- one-variable function

- open propositional function
- operating characteristic function
- operative function

- operator function

- optimal decision function
- optimal policy function
- optimizable function

- optimized function

- order function

- order of function

- order preserving function

- orderable function

- ordered function

- ordering function

- ordinal function

- orientation function

- original function

- orthonormal function

- oscillating function

- oscillatory function

- outcome function

- outer function

- p-adic function

- pair correlation function

- pairing function

- parabolical cylinder function
- parametrically definable function
- parametrization function

- parametrized function

- partially computable function

- partially differentiable function

- partially recursive function
- partially symmetric function
- partition function

- partition preserving function

- partitionable function

- patch function

- pattern function

- peaked function

- peakless function

- Pearcey function

- penalty function

- pentagamma function

- permanent function

- perturbation function

- phase function

- phi function

- picture function

- piecewise analytic function
- piecewise constant function - piecewise continuously differentiable function
- piecewise continuously differentiable function

- piecewise expanding function
- piecewise linear function - piecewise monotonic function - piecewise polynomial function - piecewise quadratic function - piecewise regular function - piecewise smooth function
- plotted function

- pluriharmonic function

- plurisubharmonic function

- plurisublinear function

- plurisuperharmonic function

- point spread function
- pointwise approximated function
- pointwise bounded function

- pointwise discontinuous function

- policy function

- polyanalytic function

- polydromic function

- polygamma function

- polygenic function

- polygonal function

- polyhedral function

- polymorphic function

- polynomial clutching function

- polynomial function

- polynomially bounded function

- portfolio function

- posinomial function

- positive definite function
- positive homogeneous function - positive infinite function - positive monotone function - positive monotonic function - positive semidefinite function - potentially calculable function - potentially recursive function - power series function
- predetermined function

- predicate function

- predicate preserving function

- predual function

- premeromorphic function

- prescribed function

- primal function

- primary function

- prime-divisor function

- primitively recursive function

- principal function

- probability density function
- probability generating function
- process function

- product function

- production function

- productive function

- profit function

- projection function

- projective function

- propagation function

- proximally continuous function

- proximity function

- pseudoanalytic function

- pseudoconcave function

- pseudoconjugate function

- pseudoconvex function

- pseudodifferentiable function

- pseudoelliptic function

- pseudoharmonic function

- pseudohyperanalytic function

- pseudolikelihood function

- pseudolinear function

- pseudoperiodic function

- pseudopotential function

- pseudoproper function

- pseudorandom function

- pure quadratic function

- quadratic function

- quadratically integrable function
- quadratically summable function
- quantile function

- quasiaffine function

- quasialgebraic function

- quasianalytic function

- quasibounded function

- quasiconcave function

- quasiconformal function

- quasicontinuous function

- quasiconvex function

- quasidifferentiable function

- quasidoubly periodic function

- quasielliptic function

- quasiexcessive function

- quasiexponential function

- quasiharmonic function

- quasihomogeneous function

- quasiinterpolating function

- quasimonotonic function

- quasiperiodic function

- quasipolynomial function

- quasiradial function

- quasirecursive function

- quasiseparable function

- quasismooth function

- quasistandard function

- quasistar function

- quasisummation function

- quasiuniformly continuous function

- quasiunimodal function

- quaternion function

- radially symmetric function

- ramification function

- ramified function

- randomized decision function
- rapidly damped function - rapidly decreasing function - rapidly oscillatory function
- ray function

- Rayleigh dissipation function

- real-definite function

- real-valued function

- recession function

- reciprocal function

- recover function

- rectangle function

- recursively calculable function
- recursively continuous function - recursively convergent function - recursively defined function - recursively differentiable function - recursively divergent function - recursively extensible function
- reduced function

- regression function

- regret function

- regularized function

- regularly varying function

- regulated function

- relation reserving function
- relative distribution function - relative frequency function
- remuneration function

- renewal function

- renormalized function

- repeatedly differentiable function

- representable function

- representative function
- representing function - reproducing kernel function - residual function - residue function
- resolutive function

- resolvent function

- restricted function

- restricting function

- retarded function

- retracting function

- ridge function

- Riemann zeta function

- right-continuous function

- right-invariant function

- roof function

- root-mean-square function

- rudimentary function

- ruin function

- ruled function

- saddle function

- saltus function

- sample distribution function

- sampling function

- sandwich function

- scalar analytical function
- scalarwise integrable function - scalarwise measurable function
- scedastic function

- scheme function

- schlicht function

- search function

- section of function

- sectionally continuous function
- sectionally smooth function
- selective function

- self-dual function

- self-indexing function

- self-reciprocal function

- semiarithmetical function

- semicoercive function

- semicontinuous function

- semicylindrical function

- semidefinite function

- semiintegrable function

- semiinvariant function

- semimodular function

- semimultiplicative function

- semiproductive function

- semispectral function

- semisymmetric function

- sentential function

- separably valued function

- separately continuous function

- separation function

- sequence function

- sequential function

- sequentially continuous function

- set-preserving function

- set-valued function

- shape function

- sharp function

- shifted function

- sifting function

- sigma function

- signaling function

- simple function

- simply measurable function
- simply periodic function
- single-humped function

- singly periodic function
- singly recursive function
- singular function

- singularity function

- sinusoidal function

- skew-symmetric function

- slowly decreasing function
- slowly increasing function - slowly oscillating function - slowly varying function - smoothly varying function - solid spherical harmonic function - solid zonal harmonic function
- source function

- sourcewise representable function

- space-dependent function

- space-time function

- spannable function

- spheroidal function

- spinor-valued function

- spline function

- square-integrable function

- square-sine function

- square-summable function

- stability function

- stable function

- starlike function

- star-shaped function

- stationary random function

- statistical function

- status function

- steadily decreasing function
- steadily increasing function
- stiff function

- stochastic function

- stochastic transition function
- stopped random function
- straight-line function

- stream function

- streamline function

- strength function

- stretch function

- strictly concave function
- strictly convex function - strictly decreasing function - strictly increasing function - strictly integrable function - strictly monotone function
- stroke function

- strongly continuous function
- strongly differentiable function - strongly holomorphic function - strongly integrable function - strongly measurable function - strongly plurisubharmonic function
- structure function

- subadditive function

- subdifferentiable function

- subintegral function

- subinvariant function

- submultiplicative function

- suboperative function

- suboptimized function

- subordinated function

- subparabolic function

- subregular function

- success function

- sufficiently differentiable function

- sum function

- summatory function

- superadditive function

- supercaloric function

- supercontinuous function

- supermedian function

- supermultiplicative function

- superparabolic function

- superregular function

- surface function

- surjective function

- switching function

- symbolic function

- symmetrizable function

- symmetrized function

- tabulated function

- tame function

- tangential function

- target function

- temperate function

- temperature function

- tempered function

- tensor function

- ternary function

- tesseral function

- tetrachoric function

- tetragamma function

- time-limited function

- time-varying function

- tissue function

- toroidal function

- torus function

- total function

- total recursive function
- totally additive function - totally continuous function - totally measurable function - totally multiplicative function - totally positive function
- totient function

- tower function

- trace function

- transferable function

- transfinite function

- transformation function

- transition probability function

- translation function

- translation invariant function

- transmission function

- trapezoidal function

- trend function

- trial function

- triangle function
- triangular function
- tribeta function

- trigamma function

- trilinear function

- true function

- truncated function

- truncation function

- twice differentiable function

- twistor function

- two-parameter function

- two-place function

- two-point function

- two-sided function

- typically real function

- ultradifferentiable function

- ultraspherical function

- unbounded function

- uncertainty function

- uncomputable function

- unconditionally summable function

- unconstrained function

- undecomposable function

- undefined function

- uneven function

- uniform function

- uniformizing function

- uniformly approximable function
- uniformly best decision function - uniformly bounded function - uniformly definable function - uniformly differentiable function - uniformly homotopic function - uniformly integrable function - uniformly limited function - uniformly measurable function - uniformly smooth function
- unimodular function

- uniquely nomographic function

- unisolvent function

- unit function

- unit impulse function
- unit step function - unitary divisor function
- univalent function

- univariate function

- universally measurable function

- unknown function

- unramified function

- upper closed function
- upper measurable function - upper semicontinuous function
- valuation function

- vector-valued function

- vertex function

- voting function

- weakly additive function
- weakly analytic function - weakly continuous function - weakly differentiable function - weakly holomorphic function - weakly measurable function - weakly singular function - weighted random function
- well-behaved function

- well-integrable function

- window function

- wrapping function

- wurzelfrei function

- zero function

- zonal spherical function

English-Russian scientific dictionary > function
9 morphism

морфизм dually universal morphism ≈ двойственно универсальный морфизм fiber bundle morphism ≈ морфизм расслоенного пространства left regular morphism ≈ регулярный слева морфизм local vector bundle morphism ≈ локальный морфизм векторных расслоений locally embeddable morphism ≈ локально вложимый морфизм locally stable morphism ≈ локально устойчивый морфизм locally trivial morphism ≈ локально тривиальный морфизм principal bundle morphism ≈ морфизм главных расслоений projectively embeddable morphism ≈ проективно вложимый морфизм purely inseparable morphism ≈ чисто несепарабельный морфизм residually stable morphism ≈ резидуально устойчивый морфизм right liberty morphism ≈ освобождающий справа морфизм right regular morphism ≈ регулярный справа морфизм universally closed morphism ≈ универсально замкнутый морфизм universally submersive morphism ≈ универсально субмерсивный морфизм - bijective morphism - bilogical morphism - bimeromorphic morphism - birational morphism - bounded morphism - bundle morphism - canonical morphism - categorical morphism - central morphism - clone morphism - closed morphism - cobounded morphism - codiagonal morphism - coequating morphism - coessential morphism - coimage of morphism - coliberty morphism - commutator morphism - compactifiable morphism - compatibility morphism - composite morphism - connecting morphism - coperfect morphism - covering morphism - divisible morphism - dominant morphism - dual morphism - embeddable morphism - epic morphism - etale morphism - extendable morphism - factored morphism - factorial morphism - fibered morphism - finite morphism - flat morphism - functorial morphism - fuzzy morphism - general morphism - geometric morphism - graded morphism - groupoid morphism - homotopic morphism - identity morphism - index of morphism - induced morphism - inductive morphism - injective morphism - inseparable morphism - invertible morphism - kernel of morphism - lattice morphism - liftable morphism - limit morphism - manifold morphism - monic morphism - morphism of colimit - morphism of complexes - morphism of functors - morphism of limit - morphism of manifolds - morphism of premanifold - morphism of presheafs - morphism of rings - morphism of semigroups - morphism of sheafs - natural morphism - neighbor morphism - nonstrict morphism - nontrivial morphism - open morphism - periodicity morphism - pregroup morphism - projective morphism - proper morphism - pseudosmooth morphism - quasicompact morphism - quasifinite morphism - quasiprojective morphism - quotient morphism - ramified morphism - restriction morphism - semilattice morphism - separated morphism - shape morphism - simplicial morphism - splitting morphism - stable morphism - strong morphism - submersive morphism - substitution morphism - surjective morphism - terminal morphism - topological morphism - trace morphism - transfer morphism - transversal morphism - universal morphism - unramified morphism - zero morphism (математика) морфизм

Большой англо-русский и русско-английский словарь > morphism
10 congruence

1) конгруэнтность ( отношение эквивалентности на множестве геометрических фигур)

2) конгруэнция, сравнение

3) слаженность, согласованность

4) соразмерность, соответствие, совмещение

5) сравнимость

•

congruence modulo m — сравнение по модулю m

congruence of n-th order — сравнение n-го порядка

congruence with respect to operation — лог. конгруэнция по отношению к операции

root of congruence — корень сравнения

- absolute congruence

- admissible congruence

- algebraic congruence

- angle-side-angle congruence

- axioms of congruence

- binomial congruence

- biquadratic congruence

- cancellative congruence

- canonical congruence

- characteristic congruence

- commuting congruence

- conditional congruence

- congruence of curves

- congruence of numbers

- covering congruence

- cubic congruence

- cyclic congruence

- difunctional congruence

- displacement congruence

- elliptic congruence

- equivalent congruence

- exponential congruence

- formal congruence

- fractional congruence

- fully invariant congruence

- fundamental congruence

- geodesic congruence

- height of congruence

- hyperbolic congruence

- idempotent separating congruence

- identical congruence

- isotropic congruence

- kernel congruence

- lattice congruence

- line congruence

- logical congruence

- maximal congruence

- minimal congruence

- multigrade congruence

- multiplicative congruence

- nonholonomic congruence

- nontrivial congruence

- normal congruence

- nuclear congruence

- parabolic congruence

- partial left congruence

- partial right congruence

- patchwise congruence

- polynomial congruence

- primitive congruence

- principal congruence

- proper congruence

- pseudonormal congruence

- quasiverbal congruence

- rectilinear congruence

- reflex congruence

- regular congruence

- restricted congruence

- semifocal congruence

- sextic congruence

- side-angle-side congruence

- side-side-side congruence

- skew congruence

- spatial congruence

- special congruence

- sphere congruence

- totally characteristic congruence

- two-term congruence

- universal congruence

English-Russian scientific dictionary > congruence
11 group

1) группа, ансамбль || групповой

- finishing mill group
- roughing mill group
2) совокупность; комплект

3) группировка || группировать(ся)

4) группировочный

5) класс; категория || классифицировать; категоризировать

6) хим. остаток

7) сгусток; скопление

8) узел

9) матем. группа

group modulo one — группа по модулю единица

group over field — группа над полем

group over ring — группа над кольцом

group with division — группа с делением

group with multiple operators — группа с многоместными операторами, мультиоператорная группа

group with operators — группа с операторами

group with topology — группа с топологией

group with trivial center — группа без центра

group with zero — группа с нулем

group without center — группа без центра

group without operators — группа без операторов

group without small subgroups — группа без малых подгрупп

group without torsion — группа без кручения

invariance under group — инвариантность относительно группы

to group like terms — приводить подобные члены

- Abelian group

- abelianized group

- abhomotopy group

- absolute cohomology group
- absolute free group - absolute homotopy group - absolutely irreducible group - absolutely simple group
- abstract group

- additively free group
- additively written group - adele group - adelic group
- adelized group

- adjoint group

- adjusted group

- affine group

- age group

- algebraic group

- algebraically closed group
- algebraically compact group - algebraically simple group - almost connected group - almost cyclic group - almost ordered group - almost periodic group - almost simple group - alternating form group
- alternating group

- amalgamated group

- amenable group

- analytical group

- anharmonic group

- anisotropic group

- antiunitary group

- aperiodic group

- archimedean group

- arcwise connected group

- arithmetic group

- asystatic group

- automorphic group

- automorphism group

- autotopism group

- base group

- basic group

- betweennes group

- bicharacter group

- bicompact group

- bigraded group

- binary group

- bitransformation group

- bordism group

- boundary group

- bounded group

- braid group

- bundle group

- cancellation group
- cancellative group
- canonical transformation group

- case-shift code group
- cellular homology group
- central group

- centrally closed group

- chain group

- channel master group
- characteristically simple group
- circle group

- circular group

- classical group

- closed homology group

- cobordism group

- coboundary group

- cochain group

- cocyclic group

- code group

- coherent group

- cohomological group

- cohomology group

- cohomotopic group

- cohomotopy group

- collinear group

- collineation group

- color group

- commensurability group

- commutative group

- commutator group

- complemented group
- complementing group
- complete group

- complete monomial group
- completely anisotropic group - completely discontinuous group - completely divisible group - completely indecomposable group - completely integrally closed group
- complex group

- composite group

- conditionally complete group

- configuration group

- conformal group

- congruence group

- connected group

- continuous group

- contracted group

- contrahomology group

- control group

- coseparable group

- cotortion group

- countable group

- countably discrete group

- covering group

- critical group

- crystallographic group

- cubical homology group

- cuspidal group

- cycle group

- cyclically ordered group

- cycloidal group

- decomposable group

- decomposition group

- defect group
- deficient group
- degree of group

- dense group

- denumerable symmetric group

- derived group

- diagonal group

- diagonalizable group

- dicyclic group

- differentiable group

- differential group

- digit group

- dihedral group

- dihomology group

- dimensionless group

- direct cohomology group
- direct homology group - direct indecomposable group
- directed group

- directly indecomposable group

- discontinuous group

- discrete group

- discriminating group

- dispersible group

- displacement group

- distal group

- divisible group

- division closure group

- divisor group

- double group

- doubly covered group
- doubly transitive group
- dual group

- dyadic group

- dynamical group

- dynamical symmetry group

- edge group

- edge-path group

- effect group

- effective group

- effectively acting group

- elation group

- elementary group

- elliptic group

- embeddable group

- empennage group

- endomorphism group

- enlarged group

- entire group

- equationally compact group

- equiaffine group

- equicontinuous group

- equiform group

- equivalence group

- etale group

- exact symmetry group

- exceptional group

- existentially closed group

- exponent of group

- exponential group

- exponentiation group

- extended group

- extension group

- factor group

- factorizable group

- factorization of group

- field character group

- filtered group

- final group

- finite group

- finite-dimensional group

- finitely approximable group

- finitely cogenerated group
- finitely defined group - finitely generated group - finitely presented group - finitely related group - first homology group - first homotopy group
- four group

- four-dimensional group

- four-strand braid group

- free group

- freely acting group
- freely generated group
- frieze group

- full braid group

- full commutator group
- full linear group - full orthogonal group - full rotation group - full symmetric group - full unimodular group
- functional group

- functorial quotient group

- fundamental group

- fuzzy group

- gage group

- general group

- general linear group

- generalized group

- geometrical homology group

- global group

- grading group

- group of actions

- group of affine transformations

- group of automorhisms

- group of autoprojectivities

- group of boundaries

- group of circle-preserving transformations
- group of classes of algebras - group of covering transformations
- group of digraph

- group of dilatations

- group of displacements

- group of divisors

- group of dodecahedron

- group of endomorphisms

- group of extensions

- group of finite order
- group of finite rank
- group of fractions

- group of groups

- group of homothetic transformations

- group of ideals

- group of infinite cardinality
- group of infinite order - group of infinite rank - group of inner automorphisms
- group of integers

- group of invertible elements

- group of involutions

- group of isometry

- group of isotropy

- group of left quotients
- group of linear equivalence - group of linear forms - group of linear manifold
- group of map

- group of mapping

- group of motions

- group of numbers

- group of observations

- group of order

- group of plane rotations

- group of polarity

- group of prime residue classes
- group of principal ideles
- group of projection

- group of projectivities

- group of proper rotations

- group of quotients

- group of rational numbers
- group of real line - group of recursive permutations - group of right quotients
- group of self-equivalence

- group of similarities

- group of singular homologies

- group of six

- group of spectral homologies

- group of square

- group of substitutions

- group of symmetries

- group of transformations

- group of translations

- group of units

- group of vectors

- group of zeroids

- hidden symmetry group

- holonomy group

- homeomorphism group

- homogeneous group

- homologic group

- homomorphism group

- homothetic group

- homotopy group of spheres

- hyperbolic group

- hypercentral group

- hypercohomology group

- hyperelementary group

- hyperemetric topological group

- hyperexponential group

- hypermetric topological group

- hyperoctahedral group

- icosahedral group

- ideal class group
- idele class group
- idele group

- identity group

- image group

- imprimitive group

- indecomposable group

- indicable group

- individual trunk group

- inertia group

- infinite classical group

- infinite group

- infinite-dimensional group

- infinitely divisible group

- infinitesimal group

- injective group

- integrable group

- integral group

- internal symmetry group

- intransitive group

- intrinsic group

- invariance group

- inverse group

- irreducible group

- irregular group

- isometry group

- isomorphically embedded group

- isospin group

- isotrophy group

- iteration group

- kernel group

- large ramification group

- lattice-ordered group

- left group

- left transformation group

- left-ordered group

- Lie group

- limit group

- limiting group

- line group

- linear fractional group
- linearly ordered group - linearly transitive group
- little group

- local group

- locally almost periodic group
- locally bicompact group - locally closed group - locally compact group - locally connected group - locally cyclic group - locally defined group - locally embeddable group - locally finite group - locally free group - locally infinite group - locally nilpotent group - locally normal group - locally solvable group
- loose group

- lower basic group

- main group

- majority group

- massive group

- matrix group

- maximal group

- maximally valued group

- measurable group

- metabelian group

- metacyclic group

- metalinear group

- metanilpotent group

- metaplectic group

- metric group

- metrizable group

- minimal group

- mixed group

- modal group

- modular group

- modularity group

- modulus group

- monodromy group

- monogenic group

- monolithic group

- monomial group

- monothetic group

- multioperator group

- multiplicative group

- multiplicatively written group

- multiplier group

- multiplier of group

- multiply connected group
- multiply primitive group - multiply transitive group
- narrow group

- n-dimensional group

- n-dimensional homology group

- neighborhood group

- nested group

- n-fold transitive group

- n-generator group

- nil group

- node group

- Noether group

- noncommutative group

- noncommutative group

- noncompact group

- noncyclic group

- nondense group

- nonhomogeneous holonomy group

- nonintegrable group

- noninvariance group

- nonperiodical group

- nonsoluble group
- nonsolvable group
- nonspecial group

- non-special group

- nontrivial group

- norm group

- normal group

- n-ply transitive group
- n-th homotopy group
- nuclear group

- one-headed group

- one-parameter group

- operator-free group

- orderable group

- ordered homology group
- ordered pair group
- ordering of group

- oriented bordism group

- oriented homology group

- ornamental group

- orthochronous group

- outer group

- p-adic group

- pair group

- pairwise transitive group

- parabolic group

- paraconvex group

- parafree group

- parametric group

- parametrized group

- paramodular group

- parasolvable group

- partial group

- partially ordered group

- particle group

- p-divisible group

- perfect group

- period group

- permanent group

- permutable group

- permutably decomposable group

- permutation group

- permutation symmetry group

- phantom group

- phase group

- point group

- polycyclic group

- polyhedral group

- polynilpotent group

- power group

- presentation group

- primary group

- prime power group group
- principal congruence group
- profinite group

- projective group

- projective module group

- pronilponent group

- proper group

- properly discontinuous group
- properly orthogonal group - properly unimodular group
- pseudoconvex group

- pseudoorthogonal group

- pseudounitary group

- p-th group

- pulse group

- pure injective group
- pure projective group - pure rotation group - pure simple group
- quadratic group

- quadruply transitive group

- quasiaffine group

- quasiclinic group

- quasicompact group

- quasicyclic group

- quasidecomposable group

- quasidihedral group

- quasidual group

- quasiembedded group

- quasi-indecomposable group

- quasiinjective group

- quasiisomorphic group

- quasimotion group

- quasipure injective group
- quasipure projective group
- quasirotation group

- quasiseparable group

- quasisimple group

- quasisplit group

- quasitotal group

- quaternion group

- quintuply transitive group
- quotient divisible group
- quotient group

- radical group

- ramification group

- randomized group

- rational group

- real group

- rectangular group

- recursively presented group

- reduced group

- reducibly free group

- reductive group

- reflection group

- reflexive group

- relative cohomology group

- relative group

- relatively free group

- renormalization group

- representation group

- residually finite group
- residually nilpotent group - restricted holonomy group
- right group

- right transformation group

- right-ordered group

- rigid group

- rope group

- rosette group

- rotational group

- rotation-reflection group

- semidihedral group

- semielementary group

- semigroup group

- semilinear group

- semilocally simply connected group

- semiordered group

- semiorthogonal group

- semireductive group

- semiregular group

- semisimple group

- semisymmetric group

- semiuniform group

- set-transitive permutation group

- shape group

- sharply doubly transitive group
- sharply transitive group
- similarity group

- simplicial group

- simplicity of group

- simply continuous group
- simply ordered group - simply reducible group - simply transitive group - singular cogomology group - singular homology group
- six-parameter group

- slender group

- smooth group

- solenoidal group

- soluble group
- solvable group
- space group

- spherical group

- spinor group

- splittable group

- splitting group

- sporadic group

- square group

- stability group
- stable group
- standard group

- stationary group

- stochastic group

- strictly ordered group
- strictly transitive group - strongly polycyclic group
- structural group

- structurally ordered group

- structure group

- study group

- subabnormal group

- subdirectly irreducible group

- subinvariant group

- submonogenic group

- subnormal group

- subsoluble group
- subsolvable group
- substituent group

- substitution group

- superconformal group

- supersoluble group
- supersolvable group
- Sylow group

- symmetrical group

- symmetry group

- symplectic group

- tame group

- tangent group

- tetrahedral group

- three-digit group

- three-dimensional rotation group

- three-parameter group

- three-strand braid group

- topological group

- topologically complete group

- topologically isomorphic groups

- topologically solvable group

- topologized group

- toral group

- toroidal group

- torsion group

- torsion-free group

- torus group

- totally disconnected group
- totally ordered group - totally projective group - totally reducible group
- trace on group

- track group

- translation group

- transvection-rich group

- treatment combination group

- trellis group

- triad group

- triangle group

- triangulable group

- triangular group

- triangulated group

- triangulation group

- trigonalizing group

- triplewise group
- triply transitive group
- trunk group

- twisted group

- two group

- two-digit group

- two-dimensional group

- two-parameter group

- underlying group

- uniaxial group

- unicentral group

- unicoherent group

- uniformizable group

- uniformly decomposable group

- unifying group

- unimodular group

- unipotent group

- uniprimitive group

- unique group

- unirational group

- unit group

- unitarily restricted group
- unitary symmetry group - unitary transformation group
- unitriangular group

- universal group

- valuation group
- value group
- vector group

- verbally simple group

- vierbein group

- wallpaper group

- wave group

- weak cohomology group
- weak homology group - weakly mixing group
- weight group

- whole group

- zero-dimensional group

- zeroth group

English-Russian scientific dictionary > group
12 representation

1) изображение

2) отображение; представление

3) представительство

•

in a binary representation — в двоичной записи

in a decimal representation — в десятичной записи

representation of a group in terms of matrices — матричное представление группы

- absolutely irreducible representation

- abstract representation

- additive representation

- adequate representation

- adiabatic representation

- adjoint representation

- admissible representation

- affine representation

- algebra representation

- algebraic representation

- algebraically irreducible representation

- algorithmic representation

- almost conformal representation

- alternating representation

- analytic representation

- antianalytic representation

- antisymmetrical representation

- approximate representation

- approximative representation

- arithmetical representation

- associated representation

- asymptotic representation

- autonymous representation

- balanced representation

- barycentric representation

- bidimensional representation

- biquinary representation

- block representation

- bounded representation

- branched representation

- canonical representation

- classical representation

- clustering representation

- coadjoint representation

- cochain representation

- cohomology representation

- combinatorial representation

- complement representation

- completely continuous representation
- completely irreducible representation - completely reduced representation - completely reducible representation
- complex representation

- computable representation

- configurational representation

- conformal representation

- conformal-conjugate representation

- conical representation

- continued fraction representation

- continuous representation

- contracted representation

- contracting representation

- convergent representation

- convex representation

- coordinate representation

- covariant representation

- crossing-symmetric representation

- cyclic representation

- cyclotomic representation

- decomposable representation

- deduced representation

- degenerate representation

- derived representation

- diagonal representation

- differentiable representation

- dimetric representation

- discontinuous representation
- discrete representation
- disjoint representation

- dispersion representation

- dominant representation

- double-valued representation

- doubly transitive representation

- duodecimal representation

- dyadic representation

- effective representation

- elementary representation

- equivalent representation

- even representation

- explicit representation

- extended regular representation

- extendible representation

- external representation

- extremal representation

- factor representation

- faithful representation

- finite difference representation

- finite representation

- finite-dimensional representation

- finitely generated representation
- finitely related representation
- fixed-point representation

- flowgraph representation

- fully reducible representation

- functional representation

- fundamental representation

- general representation

- generalized representation

- geodesic representation

- graphical representation

- half-integral representation

- harmonic representation

- helicity representation

- heuristic representation

- hexadecimal representation

- holomorphic representation

- homogeneous representation

- idealized representation

- identical representation
- identity representation
- identity representation

- implicit representation

- imprimitive representation

- incoming representation

- incremental representation

- indecomposable representation

- independent representation

- induced representation

- infinite representation

- infinite-dimentional representation

- infinitesimal representation

- infinitesimally irreducible representation

- injective representation

- innovations representation

- integer representation

- integrable representation

- interaction representation

- internal representation

- interpolatory representation

- interval representation

- intransitive representation

- irreducible representation

- irredundant primary representation

- irredundant representation

- isomorphic representation

- isothermic representation

- isotypical representation

- kernel representation

- ladder representation

- l-adic representation

- left representation

- limit representation

- linear representation

- local representation

- locally algebraic representation
- locally constant representation - locally faithful representation
- macrogeometric representation

- mathematical representation

- matrix representation

- maximal representation

- measurable representation

- metacyclic representation

- metaplectic representation

- microgeometric representation

- minimal representation

- mixed number representation

- modified representation

- monoidal representation

- monomial representation

- multiplicative representation

- multiplicity free representation

- multivalued representation

- n-adic representation

- natural representation

- near cyclic representation

- nomographic representation

- nonanalyzable representation

- noncontractible representation

- nondegenerate representation

- nondiagonal representation

- nonhomogeneous representation

- nonlinear representation

- nonnull representation

- nonorthogonal representation

- nonparametric representation

- nonstandard representation

- nontrivial representation

- non-unitary representation

- normalized representation

- nuclear representation

- numerical representation

- octal representation

- odd representation

- one-dimensional representation

- one-parameter representation

- one-valued representation

- operator representation

- optimal representation

- ordinary representation

- orthonormalized representation

- oscillator representation

- outgoing representation

- p-adic representation

- parallel representation

- parametric representation of curves

- permutation representation

- phase-plane representation

- physical representation

- polar representation

- polynomial representation

- polyvector representation

- power series representation

- prespectral representation

- primary representation

- principal representation

- product representation

- projective representation

- proper representation

- quadratic representation

- quasiequivalent representation

- quasifree representation

- quasilinear representation

- quasiregular representation

- quasisimple representation

- quasiunimodular representation

- quaternary representation

- quaternionic representation

- quotient representation

- ray representation

- real representation

- reciprocal representation

- recursive representation

- reduced representation

- relief representation

- representation of game

- representation of group

- representation of number

- representation of ring

- residue representation

- restricted representation

- right representation

- scale representation

- schematic representation

- self-adjoint representation

- self-associated representation

- semicanonical representation

- semigroup representation

- semilinear representation

- semilogarithmic representation

- semirational representation

- semireducible representation

- semisimple representation

- semispecial representation

- semispinor representation

- separable representation

- serial representation

- series representation

- simplified representation

- single-valued representation

- skew representation

- solution space representation

- spatial representation

- spherical representation

- square-integrable representation

- stable representation

- statistical representation

- step representation

- straight-code representation

- strictly admissible representation
- strongly rational representation
- symbolic representation

- tabular representation

- tangential representation

- tensor representation

- tensorially irreducible representation

- terminal representation

- ternary representation

- three-dimensional representation

- topological representation

- topologically irreducible representation
- totally reducible representation
- translation representation

- trapezoidal representation

- tree representation

- triadic representation

- tridiagonal representation

- trigonometric representation

- true representation

- two-dimensional representation

- two-to-one representation

- two-valued representation

- umbral representation

- uncontractible representation

- unfaithful representation

- unidimensional representation

- uniform asymptotic representation

- uniformizing representation

- unital representation

- unitarizable representation

- univalued representation

- universal representation

- unramified representation

- virtual representation

- zero representation

- zero-curvature representation

English-Russian scientific dictionary > representation

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Kernel (linear operator) — Main article: Kernel (mathematics) In linear algebra and functional analysis, the kernel of a linear operator L is the set of all operands v for which L(v) = 0. That is, if L: V → W, then where 0 denotes the null vector… … Wikipedia
Twisted K-theory — In mathematics, twisted K theory (also called K theory with local coefficients ) is a variation on K theory, a mathematical theory from the 1950s that spans algebraic topology, abstract algebra and operator theory. More specifically, twisted K… … Wikipedia
Category of rings — In mathematics, the category of rings, denoted by Ring, is the category whose objects are rings (with identity) and whose morphisms are ring homomorphisms (preserving the identity). Like many categories in mathematics, the category of rings is… … Wikipedia
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Automorphism — In mathematics, an automorphism is an isomorphism from a mathematical object to itself. It is, in some sense, a symmetry of the object, and a way of mapping the object to itself while preserving all of its structure. The set of all automorphisms… … Wikipedia
Projection (linear algebra) — Orthogonal projection redirects here. For the technical drawing concept, see orthographic projection. For a concrete discussion of orthogonal projections in finite dimensional linear spaces, see vector projection. The transformation P is the… … Wikipedia
Symmetric group — Not to be confused with Symmetry group. A Cayley graph of the symmetric group S4 … Wikipedia
Path integral formulation — This article is about a formulation of quantum mechanics. For integrals along a path, also known as line or contour integrals, see line integral. The path integral formulation of quantum mechanics is a description of quantum theory which… … Wikipedia
Cohomological dimension — In abstract algebra, cohomological dimension is an invariant which measures the homological complexity of representations of a group. It has important applications in geometric group theory, topology, and algebraic number theory. Contents 1… … Wikipedia
Representation theory — This article is about the theory of representations of algebraic structures by linear transformations and matrices. For the more general notion of representations throughout mathematics, see representation (mathematics). Representation theory is… … Wikipedia
P-group — In mathematics, given a prime number p , a p group is a periodic group in which each element has a power of p as its order. That is, for each element g of the group, there exists a nonnegative integer n such that g to the power pn is equal to the … Wikipedia

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nontrivial kernel

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nontrivial kernel

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