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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
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
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
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
Topic in mathematics
E_{2}} -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 ) →
Lyndon–Hochschild–Serre spectral sequence
Lyndon–Hochschild–Serre_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
Branch of mathematics
Mayer–Vietoris sequence and the long exact sequence for relative homology. Wikiquote has quotations related to Homological algebra. Abstract nonsense, a term for
Homological_algebra
Hand gesture
"high five" originated from the "low five", which has been a part of African-American culture since the 1920s. The exact transition from a low five to a
High_five
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
by finitary means. Alternatively, those modules which leave pure-exact sequence exact after applying Hom. annihilator 1. The annihilator of a left R {\displaystyle
Glossary_of_module_theory
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
Computer text file character representing blank space
define the layout of text to a limited degree, interrupting the normal sequence of rendering characters next to each other. The output of subsequent characters
Whitespace_character
Whether a manifold which is a homotopy sphere is a sphere
{\displaystyle coker(J_{n})\equiv cokernel(J_{n})} . The remaining term in the short exact sequence, namely the group b P n + 1 {\displaystyle bP_{n+1}} , denotes
Generalized Poincaré conjecture
Generalized_Poincaré_conjecture
Relationship among tones of the chromatic scale
it is sometimes also called the circle of fourths. Starting on a C, the sequence is: C, G, D, A, E, B/C♭, F♯/G♭, C♯/D♭, A♭, E♭, B♭, F, and C. This order
Circle_of_fifths
Neurological condition involving the crossing of senses
Simner and colleagues, although it is now also widely recognized by the term "sequence-personality" synesthesia. Ordinal linguistic personification normally
Synesthesia
Methods in computational biology
In bioinformatics, alignment-free sequence analysis approaches to molecular sequence and structure data provide alternatives over alignment-based approaches
Alignment-free sequence analysis
Alignment-free_sequence_analysis
Sequence of DNA that determines traits in an organism
The Mendelian gene is a basic unit of heredity. The molecular gene is a sequence of nucleotides in DNA that is transcribed to produce RNA. There are two
Gene
Idea that small causes can have large effects
derived from the example of the details of a tornado (the exact time of formation, the exact path taken) being influenced by minor perturbations such as
Butterfly_effect
1986 nuclear accident in the Soviet Union
near-shutdown state, with a power output of 30 MW thermal or less. The exact circumstances that caused the power drop are unknown. Most reports attribute
Chernobyl_disaster
IEEE standard for floating-point arithmetic
With decimal floating-point formats conversion to decimal character sequences are exact and round-trip behavior is guaranteed so long as the text representation
IEEE_754
Subject area in mathematics
as the fundamental theorem of algebraic K-theory. This is a four-term exact sequence relating K0 of a ring R to K1 of R, the polynomial ring R[t], and
Algebraic_K-theory
K-type star in the constellation Lyra
Kepler-62 is a K-type main sequence star cooler and smaller than the Sun, located 982 light-years (301 parsecs) from Earth in the constellation Lyra. It
Kepler-62
Ten-pin bowling achievement
an exact 200 game without using either method (which totals just 1.1 million combinations). Though unawarded, if a bowler can repeat the sequence of strike
Dutch_200
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
Electronic game of memory skill
nearly an exact visual replica of Simon. Oddworld games, in which the playable character must progress by completing certain puzzles with a sequence of sounds
Simon_(game)
Planetary system consisting of the Sun and objects orbiting it
Sun fuses hydrogen at its core, it is a main-sequence star. More specifically, it is a G2-type main-sequence star, where the type designation refers to
Solar_System
Homological algebra is the study of homological functors
their homology and cohomology. Cokernel Exact sequence Chain complex Differential module Five lemma Short five lemma Snake lemma Nine lemma Extension (algebra)
List of homological algebra topics
List_of_homological_algebra_topics
Counterintuitive result in probability
number of times. The theorem can be generalized to state that any infinite sequence of independent events whose probabilities are uniformly bounded below by
Infinite_monkey_theorem
Faculty of mind to store and retrieve data
"The influence of acoustic and semantic similarity on long-term memory for word sequences". The Quarterly Journal of Experimental Psychology. 18 (4):
Memory
Number of partitions of an integer
1255, 1575, 1958, 2436, 3010, 3718, 4565, 5604, ... (sequence A000041 in the OEIS). Some exact values of p(n) for larger values of n include p ( 100
Partition function (number theory)
Partition_function_(number_theory)
Equations of degree 5 or higher cannot be solved by radicals
provided a proof in 1824. The term can also refer to the slightly stronger result that there are equations of degree five and higher that cannot be solved
Abel–Ruffini_theorem
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)
Method of DNA analysis
and length of gaps. The five main types of gap penalties are constant, linear, affine, convex, and profile-based. Genetic sequence alignment - In bioinformatics
Gap_penalty
2026 American superhero series by Oren Uziel
September 12, 2020. Travis, Ben (March 9, 2026). "Spider-Noir Won't Be The Exact Version From Spider-Verse: 'Same Character, Different Universe'". Empire
Spider-Noir
Arithmetic operation
to be the limit of a Cauchy sequence of rationals, lim a n {\displaystyle \lim a_{n}} . Addition is defined term by term: lim n a n + lim n b n = lim
Addition
Ongoing Formula One season
safety car being deployed; at the resulting restart Leclerc crashed at the exact same corner, bringing about a lengthy red flag while officials inspected
2026 Formula One World Championship
2026_Formula_One_World_Championship
Problem optimization method
within term-rewrite based languages such as Wolfram Language. Dynamic programming is widely used in bioinformatics for tasks such as sequence alignment
Dynamic_programming
"Why Powers of Ten Up to 1022 Are Exact As Doubles". Exploring Binary. Rick Regan. Retrieved 2025-05-15. (sequence A050726 in the OEIS) "Star count: ANU
Orders_of_magnitude_(numbers)
Free online crowdsourced encyclopedia
have far more topics than can be covered by any printed encyclopedia. The exact degree and manner of coverage on Wikipedia is under constant review by its
Wikipedia
Line of dialogue in media containing the work's title
opening crawl would not be considered a title drop, but rather a title sequence as it is not spoken dialogue. Title drops have been around almost as long
Title_drop
Swedish logician, philosopher, and mathematical statistician
model of computation being used. An algorithmically random sequence is an infinite sequence of characters, all of whose prefixes (except possibly a finite
Per_Martin-Löf
Paraphyletic group of mammals
The term "big cat" is sometimes used to mean any of the five living members of the genus Panthera (the tiger, lion, jaguar, leopard, and snow leopard)
Big_cat
Cancer of the myeloid line of blood cells
less commonly myeloproliferative neoplasms (MPN), can evolve into AML; the exact risk depends on the type of MDS/MPN. The presence of asymptomatic clonal
Acute_myeloid_leukemia
World Cup final match, held in Germany
(in Italian). 18 August 2007. Retrieved 30 June 2026. "And Materazzi's exact words to Zidane were..." The Guardian. London. 18 August 2007. Archived
2006_FIFA_World_Cup_final
Product of numbers from 1 to n
combinatorics, where its most basic use counts the possible distinct sequences – the permutations – of n {\displaystyle n} distinct objects: there are
Factorial
Relationships among bond yields of different maturities
the expected final value of a sequence of short-term investments will equal the known final value of a single long-term investment. If this did not hold
Yield_curve
Control flow construct for executing code repeatedly
terminate based on a logical condition. These loops are flexible, but their exact behavior can be difficult to reason about. A conditional loop is usually
Loop_(statement)
Connection standard for electronic musical instruments
MIDI data can be transferred via MIDI or USB cable, or recorded to a sequencer or digital audio workstation for editing or playback. MIDI also defines
MIDI
2.71828...; base of natural logarithms
Many other series, sequence, continued fraction, and infinite product representations of e have been proved. In addition to exact analytical expressions
E_(mathematical_constant)
Sequence that reads the same forwards and backwards
A palindrome (/ˈpælɪndroʊm/) is a word, number, phrase, or other sequence of symbols that reads the same backwards as forwards, such as madam or racecar
Palindrome
Computer approximation for real numbers
binary floating-point of any finite precision; the exact binary representation would have a "1100" sequence continuing endlessly: e = −4; s =
Floating-point_arithmetic
Symbols encoded in computers to make text
character (controls computer hardware that consumes character-based data). A sequence of characters is called a string. Some character encoding systems represent
Character_(computing)
1973 novel by Thomas Pynchon
included in Bramkamp's film. The Bramkamp movie includes other dramatized sequences from the novel as well, while the main focus is on Peenemünde and the
Gravity's_Rainbow
Theological concepts in Christianity
Protestant Reformation, while not using the exact phrase, sought to order the elements of salvation. The term ordo salutis was first used by Lutheran theologians
Ordo_salutis
Abbreviation consisting of initial letters of a phrase
word, like NASA, NATO, or laser. In the broad sense, the term includes this kind of sequence when pronounced letter by letter (such as GDP or USA). Sources
Acronym
Field of knowledge
(2018). "François Viète's revolution in algebra". Archive for History of Exact Sciences. 72 (3): 245–302. doi:10.1007/s00407-018-0208-0. eISSN 1432-0657
Mathematics
in my mind is the ultimate entertainer of our generation. I can remember exact moments of my life based on Michael Jackson songs and videos." Fall Out
Cultural impact of Michael Jackson
Cultural_impact_of_Michael_Jackson
there is now a gap in the numbering sequence. Benedict: Antipope Benedict X (1058–1059) was kept in the numbering sequence. Boniface: Antipope Boniface VII
List_of_popes
Unit of digital information, usually 8 bits
Internationally, the unit octet explicitly defines a sequence of eight bits, eliminating the potential ambiguity of the term "byte". The symbol for octet, 'o', also
Byte
Literary technique used to persuade
from their ordinary or literal usage, while schemes are variations in the sequence, or the usual expected order, of words. Scheme comes from the Greek schēma
Literary_device
Disc-shaped analog sound storage medium
1925, 78 rpm was becoming standardized across the industry. However, the exact speed differed between places with alternating current electricity supply
Phonograph_record
American unmanned aerial vehicle
"numerous manufacturing quality issues" yet had been unable to determine the exact cause of the failures. On 2 October 2017, U.S. Central Command stated that
General_Atomics_MQ-9_Reaper
Cast of neo-Western crime media franchise
to the United States, Gus appeared acquiescent but secretly plotted to exact revenge and eliminate his dependence on the cartel by producing his own
List of characters in the Breaking Bad franchise
List_of_characters_in_the_Breaking_Bad_franchise
Earth's most severe extinction event
magnitude was 4–7% and lasted for approximately 500 kyr, though estimating its exact value is challenging due to diagenetic alteration of many sedimentary facies
Permian–Triassic extinction event
Permian–Triassic_extinction_event
Heterogeneous class of stars with unusual spectra
or away from the main sequence. By the 1980s, WR stars were accepted as the descendants of massive OB stars, although their exact evolutionary state in
Wolf–Rayet_star
the game has an introductory ring maze sequence that the player is given no warning about, with the sequence having a time limit that leaves very little
List of video games notable for negative reception
List_of_video_games_notable_for_negative_reception
Number, approximately 1.618
an intricate relationship with the golden ratio. In the Fibonacci sequence, each term F n {\displaystyle F_{n}} is equal to the sum of the preceding two
Golden_ratio
Number, approximately 3.14
approximate π, but no common fraction (ratio of whole numbers) can be its exact value. Because π is irrational, it has an infinite number of digits in its
Pi
Calculating tool
(similar to tally sticks). The exact form and function of these devices are scattered around different sources, and their exact relation to the modern abacus
Abacus
Rational design of new protein molecules
known protein structure and its sequence (termed protein redesign). Rational protein design approaches make protein-sequence predictions that will fold to
Protein_design
2024 film by Coralie Fargeat
effects sequences in the studio. Kračun initially considered using a safety wire to drop a camera past a series of lights for the infinity tunnel sequence. Ultimately
The_Substance
Eukaryotes other than animals, plants or fungi
quantified. The exact temporal relationship between these proposed stages is currently impossible to determine. They merely represent the sequence of ecological
Protist
Person performing mathematical calculations, before electronic calculators
the context of HBC most of the time humans are not provided with a sequence of exact steps to be executed to yield the desired result; HBC is agnostic
Computer_(occupation)
1967 film allegedly containing footage of Bigfoot
Oregon and 18 miles (30 km) east of the Pacific Ocean. For decades, the exact location of the site was lost, primarily because of re-growth of foliage
Patterson–Gimlin_film
Type of long gun appearing in 15th-century Europe
time the generic term for firearms had shifted to musket, and flintlocks are not usually associated with arquebuses. Firing sequence Placing the weapon
Arquebus
and 5–4–3–1 are often termed "three-suiters." Throw To discard. Throw-in See Endplay. Tight (Slang) An honor card or honor sequence unaccompanied by low
Glossary of contract bridge terms
Glossary_of_contract_bridge_terms
Derogatory term for the theory of evolution
Evolutionism is a term used (often derogatorily) to denote the theory of evolution. Its exact meaning has changed over time as the study of evolution
Evolutionism
Palestine in 997–1010. The Bedouins' rule, plunder and many atrocities exacted a heavy toll on Palestine. In 1009, in a spate of religious persecution
History_of_Palestine
Finds likely sequence of hidden states
programming algorithm that finds the most likely sequence of hidden events that would explain a sequence of observed events. The result of the algorithm
Viterbi_algorithm
Basic unit of phonology
to, say, the /b/ of bat). The English words cell and set have the same sequence of sounds except for the final consonant: thus, /sɛl/ versus /sɛt/ in the
Phoneme
Poems
While the exact order in which Keats composed the poems is unknown, some critics contend that they form a thematic whole if arranged in sequence. As a whole
John_Keats's_1819_odes
Natural disaster in the US
they knew severe storms were in the area, although they did not know the exact location, extent, and movement of the storms. Fujita, T. T.; Bradbury, D
1965 Palm Sunday tornado outbreak
1965_Palm_Sunday_tornado_outbreak
Chemical compound found in some species of mushrooms
psilocybin, is a substrate of the monoamine oxidase (MAO) enzyme MAO-A. The exact extent to which psilocin (and by extension psilocybin) is metabolized by
Psilocybin
Theory of developmental psychology
Maslow's hierarchy may be limited as a theory for developmental sequence since the sequence of the love need and the self-esteem need should be reversed
Maslow's_hierarchy_of_needs
Geometric space with seven dimensions
Seven-dimensional (7D) space is a sequence of n real numbers (when n = 7) that can be understood as a location in n-dimensional space. Often such a space
Seven-dimensional_space
Species of evergreen shrub
scientists sequenced the genome of C. s. var. assamica. It contains about three billion base pairs, which was larger than most plants previously sequenced. The
Camellia_sinensis
is to batting: put into the line-up for short-term strategic advantage. Home plate. Any small sequence of events during a game, never lasting long enough
Glossary_of_baseball_terms
Contagious disease caused by SARS-CoV-2
no evidence for a genome sequence or isolate of a precursor virus at the Wuhan Institute of Virology. Not from gene sequence databases, scientific publications
COVID-19
Major volcanic eruption around 1600 BC
way to at least mitigate the long-standing age disagreement. However, the exact year of eruption has yet to be settled. The table below summarizes the dating
Minoan_eruption
2010 film by M. Night Shyamalan
screenplay, the acting performances, editing, visual effects, action sequences, use of voice-over, whitewashed casting, unfaithfulness to the source
The_Last_Airbender_(film)
New Zealand actress (born 1977)
told The Irish Times, "Mel is like the left side of my body. [We] had the exact relationship in terms of communication and love that Pauline and Juliet
Melanie_Lynskey
Text string used to uniquely identify a computer file
include things like a revision or generation number of the file, a numerical sequence number (widely used by digital cameras through the DCF standard), a date
Filename
Star at the centre of the Solar System
the main-sequence portion of its life. It has not changed dramatically in over four billion years and will remain fairly stable for about five billion
Sun
Mathematical expression
2003, ISBN 0-521-81805-2, contains generalized continued fractions for √2 and the golden mean. OEIS sequence A133593 ("Exact" continued fraction for Pi)
Continued_fraction
American actress and singer (born 1986)
a second we thought Dianna Agron and Michelle Pfeiffer were wearing the exact same dress. Our eyes went straight to the wide necklines and we barely noticed
Dianna_Agron
River. For security reasons, the organizers of the talks did not name the exact location.] "Newly published documents from invasion's first weeks reveal
Peace negotiations in the Russo-Ukrainian war (2022–present)
Peace_negotiations_in_the_Russo-Ukrainian_war_(2022–present)
Substrings of length k contained in a biological sequence
DNA sequences, improve heterologous gene expression, identify species in metagenomic samples, and create attenuated vaccines. Usually, the term k-mer
K-mer
American actor and filmmaker (born 1930)
whom were contemporaneously acknowledged. Eastwood refuses to confirm his exact number of offspring, and media reports have widely differed on the total
Clint_Eastwood
American actor and film producer (born 1962)
lawyers. New York law requires all divorce documents remain sealed, so the exact terms of the settlement are not publicly available. Cruise stated that ex-wife
Tom_Cruise
Legacy of the 1999 Columbine massacre
initial instance. Nevertheless, not all research concurs with this timing sequence. One state's school shooting can influence the probability of shootings
Columbine_effect
FIVE TERM-EXACT-SEQUENCE
FIVE TERM-EXACT-SEQUENCE
Boy/Male
Scottish
County name in Scotland.
Girl/Female
American, Christian, French, Gaelic, Greek, Indian, Japanese, Latin, Sanskrit
Crag; Hill; Star
Boy/Male
Hindu, Indian
Exact; Alert
Female
Spanish
Short form of Spanish Teresa, TERE means "harvester."Â
Girl/Female
French, German, Irish, Swedish
Tribe of the Irish; The Lord Judges
Female
English
English pet form of Spanish Teresa, TERI means "harvester."
Female
Hungarian
Short form of Hungarian Terézia, TERÉZ means "harvester."
Female
Hungarian
Hungarian form of Spanish Teresa, TERÉZIA means "harvester."
Girl/Female
Arabic, Gujarati, Hindu, Indian, Kannada, Muslim
Five; God; Fived
Male
Scottish
Scottish surname transferred to forename use, FIFE means "from Fife," a place said to have gotten its name from the legendary Pictish hero Fib.
Girl/Female
English American
Abbreviation of Teresa, meaning harvester.
Male
Finnish
Short form of Finnish Antero, TERO means "man; warrior."
Female
English
Variant of spelling English Terra, TERA means "land."
Girl/Female
Australian, Finnish
Hunter; Harvest / Harvester
Girl/Female
Irish
Good.
Girl/Female
American, Australian, British, Chinese, Christian, English, Finnish, Greek, Japanese
Harvester; Abbreviation of Teresa; Guardian; Theresa; Late Summer
Female
English
Anglicized form of Irish Gaelic Sadhbh, SIVE means "sweet."
Girl/Female
French Latin
From the shore.
Surname or Lastname
English
English : nickname for a clever or elegant man, from Old French fin ‘fine’, ‘delicate’, ‘skilled’, ‘cunning’ (originally a noun from Latin finis ‘end’, ‘extremity’, ‘boundary’, later used also as an adjective in the sense ‘ultimate’, ‘excellent’).Jewish (American) : Americanized spelling of Fein.
Boy/Male
Indian, Punjabi, Sikh
Exact Love
FIVE TERM-EXACT-SEQUENCE
FIVE TERM-EXACT-SEQUENCE
Girl/Female
Hindu, Indian, Tamil
Swan or Beautiful Lady
Girl/Female
Hindu
Ploughman, Grass, Sweet
Girl/Female
American, British, English, Hebrew, Irish
Joyful; Abbreviation of Abigail; Gael is a Term for Descendants of the Ancient Celts in Scotland; My Father is Joyful; Name of a Celtic People
Boy/Male
Hindu
Raga, Taal, Correctness of musical & singing notes
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Sindhi, Tamil, Telugu
A Lotus; Type of Flower which Lord Krishna Likes
Girl/Female
Arabic, Muslim
Greeting; Cheer
Boy/Male
Indian, Sanskrit
Dappled Leaves
Boy/Male
Tamil
Thangamani | தஂகாமநீÂ
Gold, Golden gen
Male
Hindi/Indian
(अखिल) Variant spelling of Hindi Akhil, AKIL means "all, complete." Compare with another form of Akil.
Girl/Female
Hindu, Indian, Tamil
Wife of Sun; Pure
FIVE TERM-EXACT-SEQUENCE
FIVE TERM-EXACT-SEQUENCE
FIVE TERM-EXACT-SEQUENCE
FIVE TERM-EXACT-SEQUENCE
FIVE TERM-EXACT-SEQUENCE
v. i.
To pay a fine. See Fine, n., 3 (b).
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.
a.
Having five leaflets, as the Virginia creeper.
v. t. & i.
To give.
n.
A point, line, or superficies, that limits; as, a line is the term of a superficies, and a superficies is the term of a solid.
n.
A word or expression; specifically, one that has a precisely limited meaning in certain relations and uses, or is peculiar to a science, art, profession, or the like; as, a technical term.
n.
To apply a term to; to name; to call; to denominate.
a.
Alt. of Five-leaved
n.
A starfish with five rays, esp. Asterias rubens.
v. t.
To animate; to give life or spirit to; as, to fire the genius of a young man.
n.
The number next greater than four, and less than six; five units or objects.
n.
The time for which anything lasts; any limited time; as, a term of five years; the term of life.
n.
The limitation of an estate; or rather, the whole time for which an estate is granted, as for the term of a life or lives, or for a term of years.
v. t.
To render pure or refined; to intensify or concentrate; as, to exalt the juices of bodies.
v. t.
To convey or haul with a team; as, to team lumber.
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.
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.
n.
Cinquefoil; five-finger.