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symplectic form

Толкование Перевод

1 symplectic form

мат. симплектическая форма

Большой англо-русский и русско-английский словарь > symplectic form
2 symplectic form

Математика: симплектическая форма

Универсальный англо-русский словарь > symplectic form
3 symplectic form

мат.

симплектическая форма

English-Russian scientific dictionary > symplectic form
4 symplectic

симплектический symplectic prime ideal ≈ симплектический простой идеал - symplectic algebra - symplectic atlas - symplectic automorphism - symplectic base - symplectic basis - symplectic bundle - symplectic cancellation - symplectic cobordism - symplectic collineation - symplectic connectivit - symplectic correlation - symplectic form - symplectic framing - symplectic geometry - symplectic group - symplectic invariant - symplectic manifold - symplectic matrix - symplectic module - symplectic operator - symplectic plane - symplectic polarity - symplectic product - symplectic similarity - symplectic space - symplectic structure - symplectic substitution - symplectic tensor - symplectic transformation - symplectic transvection

Большой англо-русский и русско-английский словарь > symplectic
5 form

1) анкета; бланк

2) вид; форма || придавать вид или форму

3) контур; очертание

4) конфигурация

5) разновидность

6) строит. опалубка; элемент опалубки

7) скамейка, лавочка

8) формуляр

9) составлять; образовывать

10) формироваться

•

calculation in a series form — матем. вычисление с помощью ряда

evaluation of indeterminate form — матем. раскрытие неопределённости

expression in a closed form — выражение в конечном виде

fraction in a factored form — матем. дробь в форме разложения на множители

in a functonal form — в виде функции

in an expanded form — в виде ряда; в развёрнутом виде

integration in a closed form — матем. интегрирование в конечном виде

in the form of — в виде

of closed form — матем. в конечном виде, с конечным числом членов

preparation of type form — полигр. чернение набора

reduction to a normal form — матем. приведение к нормальной форме

to be supplied in a knock-down form — поставляться в разобранном виде

to bring into a canonical form — матем. приводить к канонической форме; приводить к каноническому виду

to draw up in a draft form — составлять начерно

to form a knee — сгибаться под углом

to form a circle — замыкаться в кольцо; образовывать кольцо

to form an angle with — образовывать угол c

to form an erect image — давать прямое изображение

to present in a factor form — разлагать на множители

to rearrange in the form — переписывать в виде; преобразовывать к виду ( об уравнениях)

to reduce equation to a form — приводить уравнение к виду

to simplify to this form — упростить и привести к следующему виду

to take on a form — принимать форму; принимать вид

- abridged form

- absolute form

- absolutely bounded form
- absolutely convergent form - absolutely extreme form
- abstract form

- adjoint form

- alternating form

- antiholomorphic form

- antilinear form

- antisymmetric form

- arithmetical form

- assertional form

- asymptotic form

- autodual form

- automorphic form

- bihomogeneous form

- bilinear form

- binomial form

- biquadratic form

- blank form

- block form

- boundary form

- bounded form

- bundle form

- categorical form

- center-radius form

- characteristic form

- classical canonical form

- classically integral form

- closable form

- coclosed form

- coded form

- coercive form

- collapsible form

- combinatory form

- compact form

- complementary boundary form

- completely positive form

- complex form

- complex-valued form

- condensed form

- confluent form

- conjugate form

- conjunctive form

- connection form

- contact form

- contiguous form

- contracted form

- convergent form

- convex form

- copositive form

- cubic form

- curvature form

- cusp form

- decimal form

- decomposable form

- defined form
- definite form
- degenerate form

- diagonal form

- diagonalized form

- difference form

- differential form

- dimensionless form

- discontinuous form

- disjunctive form

- distributive form

- divergence form

- dominant form

- double form

- echelon form

- effective form

- elemental form
- elementary form - elimination form of inverse
- elliptic form

- enantiomorphous form

- equivalent forms

- equivariant form

- essentually definite form
- everywhere regular form - evolutionary operation form
- exact form

- expanded form

- explicit form

- exponential form

- extensive form

- exterior form

- extreme form

- fiber form

- final form

- first fundamental form

- flat form

- form of constraint

- functional form

- fundamental form

- gage form

- generalized form

- generally covariant form
- geodesic curvature form
- goniometric form

- ground form

- hemihedral form

- holohedral form

- homological form

- horizontal form

- hyperbolic form

- hypocontinuous form

- implicative form

- implicit form

- imprimitive form

- improperly primitive form
- indefinite form
- indeterminate form

- index form

- inertia form

- inhomogeneous modular form

- initial form

- integer form

- integrable form

- integrated form of equation

- integro-differential form

- integro-power form

- intercept form

- intersection form

- invariant form

- irreducible form

- irredundant form

- iteratable form

- iterated form

- krakowian form

- left-invariant form

- limiting form

- locally compactifiable form

- logarithmical form

- measurable form

- meromorphic form

- message form

- minimal form

- modular form

- m-sectorial form

- multilinear form

- multiplicative form

- name form

- n-ary form

- negative definite form

- negative form

- negative semidefinite form

- neutral form

- nondegenerate form

- nonfull form

- nonnegative definite form

- nonnegative form

- nonpositive definite form

- nonpositive form

- nonsingular form

- norm form

- normal disjunctive form

- normed form

- normic form

- nuclear bilinear form

- null form

- numerical form

- one-signed quadratic form

- open form

- operator form

- optically active form
- p-adically equivalent form
- parametric form

- perfect form

- Pfaffian form

- piecewise linear form

- point-direction form

- point-slope form

- polarization form

- polarized form

- polylinear form

- polynomial form

- positive semidefinite form

- predicate form

- prime form

- primitive quadratic form

- principal form

- product form

- projective form

- properly equivalent forms

- propositional form

- pseudoasymptotic form

- pseudoelliptical form

- pseudoholomorphic form

- pseudoquadratic form

- pseudovolume form

- quantifier form

- quartic form

- quasiasymptotic form

- quasibilinear form

- quasidiagonal form

- quasinatural form

- quasinormal form

- quasiregular form

- quaternary form

- quaternion form

- rational form

- real-valued form

- reciprocal form

- rectangular form of complex number

- reduced echelon form

- reduced form of quadratic equation

- reduced form

- reflexive form

- relative defferential form
- relatively bounded form - repair request form
- residual form

- residue form

- resolving form

- resultant form

- scalar form

- second fundamental form

- self-conjugate form

- self-dual form

- semibasic form

- semibilinear form

- semicanonical form

- semicontinuous form

- semidefinite form

- semidiscrete form

- semiequivalent form

- seminormal form

- separately continuous form

- sesquilinear form

- shape form

- sharp form

- sign-and-absolute-value form

- simplified form

- skew-symmetric form

- slope-intercept form

- smooth form

- solder form

- space form

- special minimal form

- spectral form

- spinor form

- statement form

- strictly positive form

- structural form

- supercusp form

- symbolic form

- symmetric form of equation

- symmetrized form

- symplectic form

- tensorial form

- ternary quadratic form
- third fundamental form
- three-point form

- torsion form

- totally continuous form
- totally definite form - totally discontinuous form
- trace form

- transposed form

- trilinear form

- triple-diagonal form

- two-intercept form

- two-point form

- unbounded form

- unit bilinear form

- unitary form

- vectorial form

- vector-valued form

- vicinal form

- weighted form of lemma

English-Russian scientific dictionary > form
6 симплектическая форма

symplectic form мат.

Русско-английский научно-технический словарь Масловского > симплектическая форма
7 симплектическая форма

мат. symplectic form

Большой англо-русский и русско-английский словарь > симплектическая форма
8 симплектическая форма

Mathematics: symplectic form

Универсальный русско-английский словарь > симплектическая форма
9 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
10 tensor

тензор || тензорный

tensor in n dimensions — n-мерный тензор

- absolute tensor

- adjoint tensor

- affine tensor

- alternating tensor

- antimetric tensor

- antisymmetric tensor

- associated tensor

- auxiliary tensor

- axial tensor

- bilinear tensor

- bivalent mixed tensor

- change-of-curvature tensor

- completely antisymmetric tensor
- completely contracted tensor
- complex tensor

- conductivity tensor

- conformal tensor

- conjugate tensor

- connecting tensor

- contracted tensor

- contravariant tensor

- correlation tensor

- covariant tensor

- decomposable tensor

- deformation tensor

- derived tensor

- deviation tensor

- dimensionless tensor

- discriminant tensor

- displacement tensor

- divergence tensor

- divergenceless tensor

- double tensor

- doubly covariant tensor

- dual tensor

- effective tensor

- energy momentum tensor

- energy-momentum tensor

- field tensor

- first-rank tensor

- flag tensor

- fourth-rank tensor

- fundamental tensor

- gage-invariant tensor

- generalized tensor

- generic tensor

- geodesic tensor

- gradient tensor

- harmonic tensor

- identity tensor

- indefinite tensor

- inertia tensor

- inverse tensor

- irreducible tensor

- isotropic tensor

- linearizing tensor

- linearly independent tensor

- mixed tensor

- multiplicative tensor

- negatively definite tensor

- nilvalent tensor

- nondegenerate tensor

- nonsingular tensor

- nonsymmetric tensor

- normal tensor

- normalized tensor

- null tensor

- numerical tensor

- off-diagonal metric tensor

- orthogonal tensor

- partial tensor

- permanent tensor

- permutation tensor

- planar tensor

- polar tensor

- polarization tensor

- positively definite tensor

- pressure tensor

- projective curvature tensor

- projective tensor

- pseudoharmonic tensor

- pure tensor

- rational tensor

- real tensor

- recurrent tensor

- relative tensor

- rotation tensor

- scalar tensor

- scattering tensor

- second-rank tensor

- self-adjoint tensor

- self-dual tensor

- skew-symmetric tensor

- solid tensor

- space tensor
- spatial tensor
- spherical tensor

- spin tensor

- spurless tensor

- statistical tensor

- stiffness tensor

- strain tensor

- strain velocity tensor

- stress tensor

- structural tensor

- surface tensor

- symplectic tensor

- tensor of conformal curvature
- tensor of homogeneous quadratic form - tensor of order one - tensor of projective curvature - tensor of rank one - tensor of second order
- tensor of strain

- tensor of zero rank

- third-rank tensor

- three-dimensional tensor

- time-like tensor

- torsion tensor

- traceless tensor

- two-index tensor

- two-point tensor

- unit tensor

- universal tensor

- vorticity tensor

- wave tensor

- weight of tensor

- weighted tensor

- zero-order tensor

- zero-valency tensor

English-Russian scientific dictionary > tensor

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Symplectic geometry — is a branch of differential topology/geometry which studies symplectic manifolds; that is, differentiable manifolds equipped with a closed, nondegenerate 2 form. Symplectic geometry has its origins in the Hamiltonian formulation of classical… … Wikipedia
Symplectic manifold — In mathematics, a symplectic manifold is a smooth manifold, M, equipped with a closed nondegenerate differential 2 form, ω, called the symplectic form. The study of symplectic manifolds is called symplectic geometry or symplectic topology.… … Wikipedia
Symplectic vector space — In mathematics, a symplectic vector space is a vector space V equipped with a nondegenerate, skew symmetric, bilinear form omega; called the symplectic form. Explicitly, a symplectic form is a bilinear form omega; : V times; V rarr; R which is *… … Wikipedia
Symplectic group — For finite groups with all characteristc abelian subgroups cyclic, see group of symplectic type. Group theory … Wikipedia
Symplectic matrix — In mathematics, a symplectic matrix is a 2n times; 2n matrix M (whose entries are typically either real or complex) satisfying the condition:M^T Omega M = Omega,.where MT denotes the transpose of M and Omega; is a fixed nonsingular, skew… … Wikipedia
Symplectic cut — In mathematics, specifically in symplectic geometry, the symplectic cut is a geometric modification on symplectic manifolds. Its effect is to decompose a given manifold into two pieces. There is an inverse operation, the symplectic sum, that… … Wikipedia
Symplectic sum — In mathematics, specifically in symplectic geometry, the symplectic sum is a geometric modification on symplectic manifolds, which glues two given manifolds into a single new one. It is a symplectic version of connected summation along a… … Wikipedia
Symplectic vector field — In physics and mathematics, a symplectic vector field is one whose flow preserves a symplectic form. That is, if (M,omega) is a symplectic manifold, then a vector field Xinmathfrak{X}(M) is symplectic if its flow preserves the symplectic… … Wikipedia
Symplectic representation — In mathematical field of representation theory, a symplectic representation is a representation of a group or a Lie algebra on a symplectic vector space ( V , omega; ) which preserves the symplectic form omega; . Here omega; is a nondegenerate… … Wikipedia
Symplectic integrator — In mathematics, a symplectic integrator (SI) is a numerical integration scheme for a specific group of differential equations related to classical mechanics and symplectic geometry. Symplectic integrators form the subclass of geometric… … Wikipedia
Symplectic filling — In mathematics, a filling of a manifold X is a cobordism W between X and the empty set. More to the point, the n dimensional topological manifold X is the boundary of an n+1 dimensional manifold W . Perhaps the most active area of current… … Wikipedia

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symplectic form

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symplectic form

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