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EXACT SEQUENCE

  • Exact sequence
  • Sequence of homomorphisms such that each kernel equals the preceding image

    In mathematics, an exact sequence is a sequence of morphisms between objects (for example, groups, rings, modules, and, more generally, objects of an abelian

    Exact sequence

    Exact sequence

    Exact_sequence

  • Split exact sequence
  • Type of short exact sequence in mathematics

    split exact sequence is a short exact sequence in which the middle term is built out of the two outer terms in the simplest possible way. A short exact sequence

    Split exact sequence

    Split_exact_sequence

  • Homological algebra
  • Branch of mathematics

    and cokernels. The most common type of exact sequence is the short exact sequence. This is an exact sequence of the form A ↪ f B ↠ g C {\displaystyle

    Homological algebra

    Homological algebra

    Homological_algebra

  • Gysin homomorphism
  • Long exact sequence

    field of mathematics known as algebraic topology, the Gysin sequence is a long exact sequence which relates the cohomology classes of the base space, the

    Gysin homomorphism

    Gysin_homomorphism

  • Puppe sequence
  • mathematics, the Puppe sequence is a construction of homotopy theory, so named after Dieter Puppe. It comes in two forms: a long exact sequence, built from the

    Puppe sequence

    Puppe_sequence

  • Inflation-restriction exact sequence
  • inflation-restriction exact sequence is an exact sequence occurring in group cohomology and is a special case of the five-term exact sequence arising from the

    Inflation-restriction exact sequence

    Inflation-restriction_exact_sequence

  • Sequence
  • Finite or infinite ordered list of elements

    spectral sequence is a means of computing homology groups by taking successive approximations. Spectral sequences are a generalization of exact sequences, and

    Sequence

    Sequence

    Sequence

  • Exact functor
  • Functor that preserves short exact sequences

    mathematics, particularly homological algebra, an exact functor is a functor that preserves short exact sequences. Exact functors are convenient for algebraic calculations

    Exact functor

    Exact_functor

  • Spectral sequence
  • Tool in homological algebra

    spectral sequence is a means of computing homology groups by taking successive approximations. Spectral sequences are a generalization of exact sequences, and

    Spectral sequence

    Spectral_sequence

  • Surgery exact sequence
  • Tool to classify manifolds within a homotopy type in dim > 4

    In the mathematical surgery theory, the surgery exact sequence is the main technical tool to calculate the surgery structure set of a compact manifold

    Surgery exact sequence

    Surgery_exact_sequence

  • Five-term exact sequence
  • Sequence of terms related to the first step of a spectral sequence

    mathematics, five-term exact sequence or exact sequence of low-degree terms is a sequence of terms related to the first step of a spectral sequence. More precisely

    Five-term exact sequence

    Five-term_exact_sequence

  • Homotopy group
  • Algebraic construct classifying topological spaces

    cofibration is the mapping cone, then the resulting exact (or dually, coexact) sequence is given by the Puppe sequence. There are many realizations of spheres as

    Homotopy group

    Homotopy_group

  • Euler sequence
  • Short exact sequence of sheaves on projective space

    In mathematics, the Euler sequence is a particular exact sequence of sheaves on n-dimensional projective space over a ring. It shows that the sheaf of

    Euler sequence

    Euler_sequence

  • Fibration
  • Concept in algebraic topology

    < q < n {\displaystyle 0<q<n} hold, an exact sequence exists (also known under the name Serre exact sequence): H m + n − 1 ( F ) → i ∗ H m + n − 1 (

    Fibration

    Fibration

  • Exact couple
  • Algebraic topology

    In mathematics, an exact couple, due to William S. Massey (1952), is a general source of spectral sequences. It is common especially in algebraic topology;

    Exact couple

    Exact_couple

  • Transgression map
  • Concept in algebraic topology

    inflation-restriction exact sequence in group cohomology, and in integration in fibers. It also naturally arises in many spectral sequences; see spectral sequence#Edge

    Transgression map

    Transgression_map

  • Amplicon sequence variant
  • Single DNA sequences obtained from a high-throughput analysis of marker genes

    Therefore, ASVs represent a finer distinction between sequences. ASVs are also referred to as exact sequence variants (ESVs), zero-radius OTUs (ZOTUs), sub-OTUs

    Amplicon sequence variant

    Amplicon sequence variant

    Amplicon_sequence_variant

  • Exact category
  • mathematics, specifically in category theory, an exact category is a category equipped with short exact sequences. The concept is due to Daniel Quillen and is

    Exact category

    Exact_category

  • Kernel (algebra)
  • Elements taken to zero by a homomorphism

    be exact (at B {\displaystyle B} ) if image  ψ = ker ⁡ φ {\displaystyle {\text{image }}\psi =\ker \varphi } . An exact sequence is then a sequence of

    Kernel (algebra)

    Kernel (algebra)

    Kernel_(algebra)

  • Group extension
  • Group for which a given group is a normal subgroup

    extension of Q {\displaystyle Q} by N {\displaystyle N} if there is a short exact sequence 1 → N → ι G → π Q → 1. {\displaystyle 1\to N\;{\overset {\iota }{\to

    Group extension

    Group extension

    Group_extension

  • Chain complex
  • Tool in homological algebra

    An exact sequence (or exact complex) is a chain complex whose homology groups are all zero. This means all closed elements in the complex are exact. A

    Chain complex

    Chain_complex

  • Mayer–Vietoris sequence
  • Algebraic tool for computing topological spaces' invariants

    compute. The sequence relates the (co)homology groups of the space to the (co)homology groups of the subspaces. It is a natural long exact sequence, whose entries

    Mayer–Vietoris sequence

    Mayer–Vietoris_sequence

  • Algebraic K-theory
  • Subject area in mathematics

    corresponding to a vector bundle V is denoted [V], then for each short exact sequence of vector bundles: 0 → V ′ → V → V ″ → 0 , {\displaystyle 0\to V'\to

    Algebraic K-theory

    Algebraic_K-theory

  • Group cohomology
  • Tools for studying groups based on techniques from algebraic topology

    extent to which taking invariants doesn't respect exact sequences. This is expressed by a long exact sequence. The collection of all G {\displaystyle G} -modules

    Group cohomology

    Group_cohomology

  • Regular category
  • Mathematical category with finite limits and coequalizers

    is said to be an exact sequence if it is both a coequalizer and a kernel pair. The terminology is a generalization of exact sequences in homological algebra:

    Regular category

    Regular_category

  • Zig-zag lemma
  • On a particular long exact sequence in the homology groups of certain chain complexes

    algebra, the zig-zag lemma asserts the existence of a particular long exact sequence in the homology groups of certain chain complexes. The result is valid

    Zig-zag lemma

    Zig-zag_lemma

  • Exactness
  • Topics referred to by the same term

    In mathematics, exactness may refer to: Exact category Exact functor Landweber exact functor theorem Exact sequence Exactness of measurements Accuracy

    Exactness

    Exactness

  • Grothendieck spectral sequence
  • Spectral sequence

    {\displaystyle \Longrightarrow } ' means convergence of spectral sequences. The exact sequence of low degrees reads 0 → R 1 G ( F A ) → R 1 ( G F ) ( A ) →

    Grothendieck spectral sequence

    Grothendieck_spectral_sequence

  • Splitting lemma
  • About direct sums and exact sequences

    holds, the sequence is called a split exact sequence, and the sequence is said to split. In the above short exact sequence, where the sequence splits, it

    Splitting lemma

    Splitting_lemma

  • Derived functor
  • Homological construction in category theory

    various quite different settings that a short exact sequence often gives rise to a "long exact sequence". Derived functors clarify and generalize many

    Derived functor

    Derived_functor

  • Hyperhomology
  • Generalization of (co)homology using chain complexes

    no obvious generalization of cohomological long exact sequences associated to short exact sequences 0 → M ′ → M → M ″ → 0 {\displaystyle 0\to M'\to M\to

    Hyperhomology

    Hyperhomology

  • Snake lemma
  • Theorem in homological algebra

    in mathematics, particularly homological algebra, to construct long exact sequences. The snake lemma is valid in every abelian category and is a crucial

    Snake lemma

    Snake_lemma

  • Grothendieck group
  • Abelian group extending a commutative monoid

    following short exact sequence of K-vector spaces. 0 → V → T → W → 0 {\displaystyle 0\to V\to T\to W\to 0} Since any short exact sequence of vector spaces

    Grothendieck group

    Grothendieck_group

  • Lyndon–Hochschild–Serre spectral sequence
  • Topic in mathematics

    -page. The associated five-term exact sequence to the group cohomology is the usual inflation-restriction exact sequence: 0 → H 1 ( G / N , A N ) → inf

    Lyndon–Hochschild–Serre spectral sequence

    Lyndon–Hochschild–Serre_spectral_sequence

  • Resolution (algebra)
  • Exact sequence used to describe the structure of an object

    (or left resolution; dually a coresolution or right resolution) is an exact sequence of modules (or, more generally, of objects of an abelian category) that

    Resolution (algebra)

    Resolution_(algebra)

  • Projective module
  • Direct summand of a free module (mathematics)

    short exact sequence of modules of the form 0 → A → B → P → 0 {\displaystyle 0\rightarrow A\rightarrow B\rightarrow P\rightarrow 0} is a split exact sequence

    Projective module

    Projective_module

  • Rank–nullity theorem
  • In linear algebra, relation between 3 dimensions

    language, the theorem can also be phrased as saying that each short exact sequence of vector spaces splits. Explicitly, given that 0 → U → V → T R → 0

    Rank–nullity theorem

    Rank–nullity theorem

    Rank–nullity_theorem

  • Exact
  • Topics referred to by the same term

    research Exact colorings, in graph theory Exact couples, a general source of spectral sequences Exact sequences, in homological algebra Exact functor,

    Exact

    Exact

  • Pure submodule
  • Module components with flexibility in module theory

    short exact sequences exact after tensoring, a pure submodule defines a short exact sequence (known as a pure exact sequence) that remains exact after

    Pure submodule

    Pure_submodule

  • Monster of Florence
  • Serial killer in Italy active from 1968 to 1985

    connected persons were convicted for involvement in the murders, yet the exact sequence of events, the identity of the main perpetrator and the motive remain

    Monster of Florence

    Monster_of_Florence

  • Coherent sheaf
  • Generalization of vector bundles

    X} has an open neighborhood U {\displaystyle U} in which there is an exact sequence O X ⊕ I | U → O X ⊕ J | U → F | U → 0 {\displaystyle {\mathcal {O}}_{X}^{\oplus

    Coherent sheaf

    Coherent_sheaf

  • Surgery theory
  • Techniques in topology used to produce one finite-dimensional manifold from another

    surgery exact sequence is the long exact sequence induced by a fibration sequence of spectra. This implies that all the sets involved in the sequence are

    Surgery theory

    Surgery_theory

  • Chern class
  • Characteristic classes of vector bundles

    middle term. The same sequence is clearly then exact on the whole projective space and the dual of it is the aforementioned sequence. Let L be a line in

    Chern class

    Chern_class

  • Divisor (algebraic geometry)
  • Generalizations of codimension-1 subvarieties of algebraic varieties

    {\displaystyle {\mathcal {O}}(D)} or L(D). By the exact sequence above, there is an exact sequence of sheaf cohomology groups: H 0 ( X , M X × ) → H 0

    Divisor (algebraic geometry)

    Divisor_(algebraic_geometry)

  • Felix Batista
  • US Army officer (kidnapped 2008)

    inconsistencies exist between different statements, particularly regarding the exact sequence of events and number of participants, which is common in cases relying

    Felix Batista

    Felix_Batista

  • 2008 Noida double murder case
  • Unsolved murders of teenage girl and domestic worker

    were conflicting media reports about the exact sequence of events, which was somewhat like this: Possible sequence of events according to CBI Joint Director

    2008 Noida double murder case

    2008_Noida_double_murder_case

  • Fractional ideal
  • Submodule of fractions in abstract algebra

    only if O K {\displaystyle {\mathcal {O}}_{K}} is a UFD. There is an exact sequence 0 → O K ∗ → K ∗ → I K → C K → 0 {\displaystyle 0\to {\mathcal {O}}_{K}^{*}\to

    Fractional ideal

    Fractional_ideal

  • Exponential sheaf sequence
  • In mathematics, the exponential sheaf sequence is a fundamental short exact sequence of sheaves used in complex geometry. Let M be a complex manifold,

    Exponential sheaf sequence

    Exponential_sheaf_sequence

  • Schanuel's lemma
  • 0\rightarrow K'\rightarrow P'\rightarrow M\rightarrow 0} are short exact sequences of R {\displaystyle R} -modules and P {\displaystyle P} and P ′ {\displaystyle

    Schanuel's lemma

    Schanuel's_lemma

  • Triangulated category
  • Category in mathematics

    triangles generalize the short exact sequences in an abelian category, as well as fiber sequences and cofiber sequences in topology. Much of homological

    Triangulated category

    Triangulated_category

  • Sheaf cohomology
  • Tool in algebraic topology

    giving a short exact sequence 0 → A → B → C → 0 {\displaystyle 0\to A\to B\to C\to 0} of sheaves on X. Then there is a long exact sequence of abelian groups

    Sheaf cohomology

    Sheaf_cohomology

  • Cohomology
  • Algebraic structure used in topology

    induced homomorphisms on homology are the same. Exactness: Each pair (X,A) induces a long exact sequence in homology, via the inclusions f: A → X and g:

    Cohomology

    Cohomology

    Cohomology

  • Flat module
  • Algebraic structure in ring theory

    with M preserves exact sequences. A module is faithfully flat if taking the tensor product with a sequence produces an exact sequence if and only if the

    Flat module

    Flat_module

  • Hilbert's syzygy theorem
  • On polynomial rings over fields

    i . {\displaystyle G_{i}\mapsto g_{i}.} In other words, one has an exact sequence 0 → R 1 → L 0 → M → 0. {\displaystyle 0\to R_{1}\to L_{0}\to M\to 0

    Hilbert's syzygy theorem

    Hilbert's_syzygy_theorem

  • Serre spectral sequence
  • Spectral sequence in algebraic topology

    the total space X. This spectral sequence can be derived from an exact couple built out of the long exact sequences of the cohomology of the pair ( X

    Serre spectral sequence

    Serre_spectral_sequence

  • Spin structure
  • Concept in differential geometry

    } hence the Serre spectral sequence can be applied. From general theory of spectral sequences, there is an exact sequence 0 → E 3 0 , 1 → E 2 0 , 1 →

    Spin structure

    Spin_structure

  • Module homomorphism
  • Linear map over a ring

    (f_{i+1})=\operatorname {ker} (f_{i})} . A special case of an exact sequence is a short exact sequence: 0 → A → f B → g C → 0 {\displaystyle 0\to A{\overset {f}{\to

    Module homomorphism

    Module_homomorphism

  • Ext functor
  • Construction in homological algebra

    a short exact sequence 0 → K → L → M → 0 {\displaystyle 0\rightarrow K\rightarrow L\rightarrow M\rightarrow 0} induces a long exact sequence of the form

    Ext functor

    Ext_functor

  • Abelian category
  • Category with direct sums and certain types of kernels and cokernels

    concept of exact sequence arises naturally in this setting, and it turns out that exact functors, i.e. the functors preserving exact sequences in various

    Abelian category

    Abelian_category

  • Künneth theorem
  • Relates the homology of two objects to the homology of their product

    _{1}^{R}(H_{i}(X;R),H_{j}(Y;R))\to 0.} Furthermore, these sequences split, but not canonically. The short exact sequences just described can easily be used to compute

    Künneth theorem

    Künneth_theorem

  • Étale cohomology
  • Sheaf cohomology on the étale site

    Hilbert's theorem 90. Therefore, the long exact sequence of étale cohomology groups gives an exact sequence K → Div ⁡ ( X ) → H 1 ( G m ) → 1 {\displaystyle

    Étale cohomology

    Étale_cohomology

  • Spin group
  • Double cover Lie group of the special orthogonal group

    special orthogonal group SO(n) = SO(n, R), such that there exists a short exact sequence of Lie groups (when n ≠ 2) 1 → Z 2 → Spin ⁡ ( n ) → SO ⁡ ( n ) → 1.

    Spin group

    Spin group

    Spin_group

  • Generalized Poincaré conjecture
  • Whether a manifold which is a homotopy sphere is a sphere

    comes down to determining the elements of the Kervaire-Milnor short exact sequence of groups 0 → b P n + 1 → Θ n → π n S / ( I m a g e ( J n ) ) → 0 {\displaystyle

    Generalized Poincaré conjecture

    Generalized_Poincaré_conjecture

  • Relative homology
  • Homology for a pair of topological spaces

    subspace A ⊆ X {\displaystyle A\subseteq X} , one may form the short exact sequence 0 → C ∙ ( A ) → C ∙ ( X ) → C ∙ ( X ) / C ∙ ( A ) → 0 , {\displaystyle

    Relative homology

    Relative_homology

  • De Rham cohomology
  • Cohomology with real coefficients computed using differential forms

    \xrightarrow {d_{m-1}} \Omega ^{m}\to 0.} This long exact sequence now breaks up into short exact sequences of sheaves 0 → im ⁡ d k − 1 → ⊂ Ω k → d k im ⁡

    De Rham cohomology

    De Rham cohomology

    De_Rham_cohomology

  • Burau representation
  • Mathematical representation

    of rank n. By the homology long exact sequence of a pair, the Burau representations fit into a short exact sequence 0 → Vr → Vu → D ⊕ Z[t, t−1] → 0,

    Burau representation

    Burau_representation

  • Coherent sheaf cohomology
  • Concept in algebraic geometry

    short exact sequence of sheaves 0 → A → B → C → 0 {\displaystyle 0\to {\mathcal {A}}\to {\mathcal {B}}\to {\mathcal {C}}\to 0} , there is a long exact sequence

    Coherent sheaf cohomology

    Coherent_sheaf_cohomology

  • Excision theorem
  • Theorem in algebraic topology

    Eilenberg–Steenrod axioms. The Mayer–Vietoris sequence may be derived with a combination of excision theorem and the long-exact sequence. The excision theorem may be used

    Excision theorem

    Excision_theorem

  • Sheaf (mathematics)
  • Tool to track locally defined data attached to the open sets of a topological space

    U\mapsto F(U)/K(U)} ; in other words, the quotient sheaf fits into an exact sequence of sheaves of abelian groups; 0 → K → F → Q → 0. {\displaystyle 0\to

    Sheaf (mathematics)

    Sheaf_(mathematics)

  • Principal photography
  • Phase of producing a film or television show in which the bulk of shooting takes place

    production schedule, production board, and shooting schedule to work out the exact sequence in which the scenes in the script will be shot. Due to a great many

    Principal photography

    Principal photography

    Principal_photography

  • Universal coefficient theorem
  • Establish relationships between homology and cohomology theories

    H_{i}(X,\mathbb {Z} )\otimes A} . The theorem states there is a short exact sequence involving the Tor functor 0 → H i ( X , Z ) ⊗ A → μ H i ( X , A ) →

    Universal coefficient theorem

    Universal_coefficient_theorem

  • Five lemma
  • Lemma in category theory about commutative diagrams

    subobject whose homology/cohomology is known, and arrives at a long exact sequence which involves the unknown homology groups of the original object. This

    Five lemma

    Five_lemma

  • Inverse limit
  • Construction in category theory

    0\rightarrow A_{i}\rightarrow B_{i}\rightarrow C_{i}\rightarrow 0} is a short exact sequence of inverse systems, then 0 → lim ← ⁡ A i → lim ← ⁡ B i → lim ← ⁡ C i

    Inverse limit

    Inverse_limit

  • Exterior algebra
  • Algebra associated to any vector space

    0 → U → V → W → 0 {\displaystyle 0\to U\to V\to W\to 0} is a short exact sequence of vector spaces, then 0 → ⋀ 1 ( U ) ∧ ⋀ ( V ) → ⋀ ( V ) → ⋀ ( W ) →

    Exterior algebra

    Exterior algebra

    Exterior_algebra

  • Annihilator (ring theory)
  • Ideal that maps to zero a subset of a module

    ⁡ ( M ) {\displaystyle \operatorname {Ann} _{R}(M)} . Given a short exact sequence of modules, 0 → M ′ → M → M ″ → 0 , {\displaystyle 0\to M'\to M\to M''\to

    Annihilator (ring theory)

    Annihilator_(ring_theory)

  • Cotangent complex
  • Construct in algebraic geometry

    exact sequence related to Kähler differentials is the conormal exact sequence. If f is a closed immersion with ideal sheaf I, then there is an exact sequence

    Cotangent complex

    Cotangent_complex

  • K-theory
  • Branch of mathematics

    [{\mathcal {E}}]=[{\mathcal {E}}']+[{\mathcal {E}}'']} if there is a short exact sequence 0 → E ′ → E → E ″ → 0. {\displaystyle 0\to {\mathcal {E}}'\to {\mathcal

    K-theory

    K-theory

  • Singular homology
  • Concept in algebraic topology

    axioms that require a boundary morphism that turns short exact sequences into long exact sequences. In the case of singular homology, the homology functor

    Singular homology

    Singular_homology

  • Hilbert series and Hilbert polynomial
  • Tool in mathematical dimension theory

    \;A\;\rightarrow \;B\;\rightarrow \;C\;\rightarrow \;0} is a short exact sequence of graded or filtered modules, then we have H S B = H S A + H S C {\displaystyle

    Hilbert series and Hilbert polynomial

    Hilbert_series_and_Hilbert_polynomial

  • Semidirect product
  • Operation in group theory

    identity on H and whose kernel is N. In other words, there is a split exact sequence 1 → N → G → H → 1 {\displaystyle 1\to N\to G\to H\to 1} of groups (which

    Semidirect product

    Semidirect product

    Semidirect_product

  • Homotopy groups of spheres
  • How spheres of various dimensions can wrap around each other

    corresponds to the vanishing of π1(S3). Thus the long exact sequence breaks into short exact sequences, 0 → π i ( S 3 ) → π i ( S 2 ) → π i − 1 ( S 1 ) →

    Homotopy groups of spheres

    Homotopy groups of spheres

    Homotopy_groups_of_spheres

  • Borel–Moore homology
  • Homology theory for locally compact spaces

    sheaf cohomology with compact support. As a result, there is a short exact sequence analogous to the universal coefficient theorem: 0 → Ext Z 1 ( H c i

    Borel–Moore homology

    Borel–Moore_homology

  • Koszul complex
  • Construction in homological algebra

    ([x])=t[x]} . The above exact sequence can be used to prove the following. Theorem— Let R be a ring and M a module over it. If a sequence x 1 , x 2 , ⋯ , x

    Koszul complex

    Koszul_complex

  • Godement resolution
  • Sheaf theory concept

    applying the sheaf cohomology long exact sequence to each, the cohomology long exact sequence decomposes into exact sequences 0 → Z k ( X ) → A k ( X ) → Z

    Godement resolution

    Godement_resolution

  • Jump Jim Crow
  • American song about Jim Crow

    ISBN 978-0-19-514690-5. Retrieved 7 March 2024.[permanent dead link] This exact sequence of verses appeared in dialect version on the Halo LP record Songs of

    Jump Jim Crow

    Jump Jim Crow

    Jump_Jim_Crow

  • Isomorphism theorems
  • Group of mathematical theorems

    which complete the short exact sequence running from the lower left to the upper right of the diagram. The use of the exact sequence convention saves us from

    Isomorphism theorems

    Isomorphism_theorems

  • Full-text search
  • Search using the full text of documents

    recall significantly. Phrase search: Matches documents containing an exact sequence of words, such as "Wikipedia, the free encyclopedia." Concept search:

    Full-text search

    Full-text_search

  • Homology (mathematics)
  • Algebraic structure associated with a topological space

    exact sequence 0 → A → B → C → 0 {\displaystyle 0\rightarrow A\rightarrow B\rightarrow C\rightarrow 0} of chain complexes gives rise to a long exact sequence

    Homology (mathematics)

    Homology_(mathematics)

  • EHP spectral sequence
  • EHP long exact sequence of Whitehead (1953); the name "EHP" comes from the fact that George W. Whitehead named 3 of the maps of his sequence "E" (the

    EHP spectral sequence

    EHP_spectral_sequence

  • Mikado (game)
  • Pick-up sticks game

    not added (traditional); is added to the player's score. Scoring: the exact sequence of Kuli, Samurai, Bonzen and Mandarin may double the points of a turn;

    Mikado (game)

    Mikado_(game)

  • Direct Action Day
  • 1946 sectarian violence in British India

    including their short-term consequences, controversy remains regarding the exact sequence of events, the various actors' responsibility and the long-term political

    Direct Action Day

    Direct Action Day

    Direct_Action_Day

  • Kähler differential
  • Differential form in commutative algebra

    homomorphisms R → S → T {\displaystyle R\to S\to T} , there is a short exact sequence of T-modules Ω S / R ⊗ S T → Ω T / R → Ω T / S → 0. {\displaystyle \Omega

    Kähler differential

    Kähler_differential

  • Length of a module
  • In algebra, integer associated to a module

    {\displaystyle 0\rightarrow L\rightarrow M\rightarrow N\rightarrow 0} is a short exact sequence of R {\displaystyle R} -modules. Then M has finite length if and only

    Length of a module

    Length_of_a_module

  • Go-Back-N ARQ
  • Automatic repeat-request (ARQ) protocol in data transmission and error detection

    keeps track of the sequence number of the next frame it expects to receive. It will discard any frame that does not have the exact sequence number it expects

    Go-Back-N ARQ

    Go-Back-N_ARQ

  • Bockstein spectral sequence
  • torsion-free abelian groups and p a prime number. Then we have the exact sequence: 0 ⟶ C ⟶ p C ⟶ mod p C ⊗ Z / p ⟶ 0. {\displaystyle 0\longrightarrow

    Bockstein spectral sequence

    Bockstein_spectral_sequence

  • Mapping class group of a surface
  • Concept in mathematics

    The exact statement is as follows. Let S {\displaystyle S} be a compact surface and x ∈ S {\displaystyle x\in S} . There is an exact sequence 1 → π

    Mapping class group of a surface

    Mapping_class_group_of_a_surface

  • Lefschetz hyperplane theorem
  • Theorem in algebraic geometry

    and is surjective for k = n − 1 {\displaystyle k=n-1} . Using a long exact sequence, one can show that each of these statements is equivalent to a vanishing

    Lefschetz hyperplane theorem

    Lefschetz_hyperplane_theorem

  • Mixed Hodge structure
  • Algebraic structure

    the early hints that such structures should exist comes from the long exact sequence ⋯ → H i − 1 ( Y ) → H c i ( U ) → H i ( X ) → … {\displaystyle \dots

    Mixed Hodge structure

    Mixed_Hodge_structure

  • Cleanroom suit
  • Full-body garments worn to control contamination in cleanrooms

    several barrels) is a complicated process which must be performed in an exact sequence. Often a health physicist is present in the work area to observe good

    Cleanroom suit

    Cleanroom suit

    Cleanroom_suit

  • Azumaya algebra
  • Concept in ring theory

    extensions E 2 / E 1 / F {\displaystyle E_{2}/E_{1}/F} there is a short exact sequence of Galois groups 0 → Gal ( E 2 / E 1 ) → Gal ( E 2 / F ) → Gal ( E 1

    Azumaya algebra

    Azumaya_algebra

AI & ChatGPT searchs for online references containing EXACT SEQUENCE

EXACT SEQUENCE

AI search references containing EXACT SEQUENCE

EXACT SEQUENCE

  • Child
  • Surname or Lastname

    English

    Child

    English : nickname from Middle English child ‘child’, ‘infant’ (Old English cild), in various possible applications. The word is found in Old English as a byname, and in Middle English as a widely used affectionate term of address. It was also used as a term of status for a young man of noble birth, although the exact meaning is not clear; in the 13th and 14th centuries it was a technical term used of a young noble awaiting elevation to the knighthood. In other cases it may have been applied as a byname to a youth considerably younger than his brothers or to one who was a minor on the death of his father.English : possibly a topographic name from Old English cielde ‘spring (water)’, a rare word derived from c(e)ald ‘cold’.

    Child

  • Hone
  • Surname or Lastname

    English

    Hone

    English : topographic name for someone who lived by a boundary stone or a prominent outcrop of rock, from Middle English hōn ‘stone’, ‘rock’. This is the same word as modern English hone ‘whetstone’, and the surname may also be a metonymic occupational name for someone who used a whetstone to sharpen swords, daggers, and knives.Dutch and North German (Höne) : from the Germanic personal name Huno, a short form of the various compound names with the first element hūn. Compare, for example, Humphrey. The exact meaning of this element is disputed, but it may be cognate with Old Norse húnn ‘bear cub’.

    Hone

  • Choska
  • Boy/Male

    Hindu, Indian

    Choska

    Exact; Alert

    Choska

  • Fathi
  • Boy/Male

    African, Arabic, Australian, Muslim, Swahili

    Fathi

    Victorious; Winner; To Win; The Exact Beginning Time of Raining is Called Fathi as Well; Conqueror; Warrior

    Fathi

  • Hillary
  • Surname or Lastname

    English

    Hillary

    English : from a medieval male personal name (from Latin Hilarius, a derivative of hilaris ‘cheerful’, ‘glad’, from Greek hilaros ‘propitious’, ‘joyful’). The Latin name was chosen by many early Christians to express their joy and hope of salvation, and was borne by several saints, including a 4th-century bishop of Poitiers noted for his vigorous resistance to the Arian heresy, and a 5th-century bishop of Arles. Largely due to veneration of the first of these, the name became popular in France in the forms Hilari and Hilaire, and was brought to England by the Norman conquerors.English : from the much rarer female personal name Eulalie (from Latin Eulalia, from Greek eulalos ‘eloquent’, literally well-speaking, chosen by early Christians as a reference to the gift of tongues), likewise introduced into England by the Normans. A St. Eulalia was crucified at Barcelona in the reign of the Emperor Diocletian and became the patron of that city. In England the name underwent dissimilation of the sequence -l-l- to -l-r- and the unfamiliar initial vowel was also mutilated, so that eventually the name was considered as no more than a feminine form of Hilary (of which the initial aspirate was in any case variable).

    Hillary

  • Avirbhav | அவிர்பாவ
  • Boy/Male

    Tamil

    Avirbhav | அவிர்பாவ

    The exact meaning of this name would be evolution also can mean progress

    Avirbhav | அவிர்பாவ

  • Anuloma | அநுலோமா
  • Girl/Female

    Tamil

    Anuloma | அநுலோமா

    Sequence

    Anuloma | அநுலோமா

  • Seamus
  • Boy/Male

    Irish

    Seamus

    The Irish version of James. Many well-known Irishmen have been called Seamus including the 1995 Nobel poet laureate Seamus Heaney. The Nobel prize in Literature was awarded for his “”works of lyrical beauty and ethical depth, which exalt everyday miracles and the living past.””

    Seamus

  • Joachim
  • Boy/Male

    Hebrew

    Joachim

    May Jehovah exalt. God prepares.

    Joachim

  • BRUCE
  • Male

    English

    BRUCE

    Scottish surname transferred to forename use, possibly BRUCE means "woods; thicket." It was originally a Norman French baronial name but the exact location from which it was derived has not been identified and the number of possibilities are numerous. In use by the English.

    BRUCE

  • ZUBIN
  • Male

    Serbian

    ZUBIN

    (Зубин) Serbian form of Hebrew Zebuwluwn, ZUBIN means "to exalt, to honor." Compare with other forms of Zubin.

    ZUBIN

  • Tanupreet
  • Boy/Male

    Indian, Punjabi, Sikh

    Tanupreet

    Exact Love

    Tanupreet

  • James Seamus
  • Boy/Male

    Irish

    James Seamus

    The Irish version of James. Many well-known Irishmen have been called Seamus including the 1995 Nobel poet laureate Seamus Heaney. The Nobel prize in Literature was awarded for his “”works of lyrical beauty and ethical depth, which exalt everyday miracles and the living past.””

    James Seamus

  • Jerry
  • Boy/Male

    Hebrew American English Greek

    Jerry

    May Jehovah exalt. Exalted of the Lord. Jeremiah was a 7th century prophet and the author of...

    Jerry

  • Stoke
  • Surname or Lastname

    English

    Stoke

    English : habitational name from any of the numerous places throughout England named from Middle English stoke. The exact sense in individual cases is not clear; it seems to have meant originally merely ‘place’, and to have been used mainly for an outlying hamlet or dependent settlement.

    Stoke

  • Avirbhav
  • Boy/Male

    Hindu

    Avirbhav

    The exact meaning of this name would be evolution also can mean progress

    Avirbhav

  • Marker
  • Surname or Lastname

    English

    Marker

    English : topographic name for someone who lived by a boundary (see Mark 2). It is notable that early examples of the surname tend to occur near borders, for example on the Kent-Sussex boundary.English : possibly an occupational name from an agent derivative of Middle English mark(en) ‘to put a mark on’, although it is not clear what the exact nature of the work of such a ‘marker’ would be.English : relatively late development of Mercer. There is one family in Clitheroe, Lancashire, who spelled their name Mercer or Marcer in the 16th century, but Marker in the 17th.Jewish (Ashkenazic) : occupational name from Yiddish marker ‘servant’.German : status name for someone who lived on an area of land that was marked off from the village land or woodland, Middle High German merkære.Danish : from a short form of the Germanic personal name Markward.

    Marker

  • Hickmott
  • Surname or Lastname

    English

    Hickmott

    English : from the Middle English personal name Hick + Middle English maugh, mough ‘relative’ (from Old Norse mágr or Old English magu). The exact nature of the relationship is not clear; the Middle English word meant ‘relative by marriage’, but was also used occasionally of a female blood relation.

    Hickmott

  • Joachim
  • Boy/Male

    Australian, Christian, Danish, Dutch, French, German, Hebrew, Netherlands, Polish, Swedish, Swiss

    Joachim

    May Jehovah Exalt; God Prepares; God will Judge; God will Establish; Raised by God

    Joachim

  • Yehuda
  • Boy/Male

    American, Australian, Chinese, Hebrew, Jewish

    Yehuda

    Exalt; Praised; Son of Jacob and Leah

    Yehuda

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Online names & meanings

  • Anuprita
  • Girl/Female

    Indian

    Anuprita

    Return of Love

  • Ratneshwar
  • Boy/Male

    Bengali, Hindu, Indian

    Ratneshwar

    Diamond

  • NOLA
  • Female

    English

    NOLA

    Feminine form of English Nolan, NOLA means "little champion" or "little chariot fighter."

  • Kivyaa
  • Girl/Female

    Hindu

    Kivyaa

    Bird of queen

  • Asumat
  • Boy/Male

    Indian, Sanskrit

    Asumat

    Mentally Agile

  • Naraja
  • Boy/Male

    Hindu, Indian

    Naraja

    Upset

  • Kansbar
  • Boy/Male

    Indian, Parsi

    Kansbar

    Treasure Master

  • Hritesh | ஹ்ரீதேஷ
  • Boy/Male

    Tamil

    Hritesh | ஹ்ரீதேஷ

  • Jullien
  • Boy/Male

    French Latin

    Jullien

    Youthful.

  • Milnes
  • Surname or Lastname

    English

    Milnes

    English : variant of Mills. Compare Milner.

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Other words and meanings similar to

EXACT SEQUENCE

AI search in online dictionary sources & meanings containing EXACT SEQUENCE

EXACT SEQUENCE

  • Express
  • a.

    Exactly representing; exact.

  • Exact
  • a.

    Habitually careful to agree with a standard, a rule, or a promise; accurate; methodical; punctual; as, a man exact in observing an appointment; in my doings I was exact.

  • Normal
  • a.

    Standard; original; exact; typical.

  • Inadequation
  • n.

    Want of exact correspondence.

  • Narrow
  • superl.

    Scrutinizing in detail; close; accurate; exact.

  • Exalt
  • v. t.

    To elevate in rank, dignity, power, wealth, character, or the like; to dignify; to promote; as, to exalt a prince to the throne, a citizen to the presidency.

  • Exact
  • v. i.

    To practice exaction.

  • Religious
  • a.

    Scrupulously faithful or exact; strict.

  • Exacting
  • p. pr. & vb. n.

    of Exact

  • Counterpole
  • n.

    The exact opposite.

  • Exact
  • a.

    Precisely agreeing with a standard, a fact, or the truth; perfectly conforming; neither exceeding nor falling short in any respect; true; correct; precise; as, the clock keeps exact time; he paid the exact debt; an exact copy of a letter; exact accounts.

  • Exacted
  • imp. & p. p.

    of Exact

  • Hypercritical
  • a.

    Excessively nice or exact.

  • Quadrate
  • a.

    Square; even; balanced; equal; exact.

  • Exact
  • a.

    Precisely or definitely conceived or stated; strict.

  • Exalt
  • v. t.

    To render pure or refined; to intensify or concentrate; as, to exalt the juices of bodies.

  • Point-devise
  • a.

    Uncommonly nice and exact; precise; particular.

  • Exact
  • a.

    To demand or require authoritatively or peremptorily, as a right; to enforce the payment of, or a yielding of; to compel to yield or to furnish; hence, to wrest, as a fee or reward when none is due; -- followed by from or of before the one subjected to exaction; as, to exact tribute, fees, obedience, etc., from or of some one.

  • Unexact
  • a.

    Not exact; inexact.

  • Jump
  • a.

    Nice; exact; matched; fitting; precise.