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perfect complex of modules over a commutative ring A is an object in the derived category of A-modules that is quasi-isomorphic to a bounded complex of
Perfect_complex
1979 single by Jefferson Starship
rocker" and praised Mickey Thomas' vocals. GQ in 2015 said it was a "perfect, complex, trash-gem work of art." The song was used as the opening music to
Jane (Jefferson Starship song)
Jane_(Jefferson_Starship_song)
Construct in algebraic geometry
choice of V, and for a smoothable complete intersection morphism, this complex is perfect. Furthermore, if g : Y → Z is another smoothable complete intersection
Cotangent_complex
1997 Japanese animated film by Satoshi Kon
Perfect Blue (Japanese: パーフェクトブルー, Hepburn: Pāfekuto Burū) is a 1997 Japanese animated psychological horror film directed by Satoshi Kon. It is loosely
Perfect_Blue
Theorem in algebraic geometry
b ( X ) {\displaystyle D_{\operatorname {coh} }^{b}(X)} , and F a perfect complex in D perf ( X ) {\displaystyle D_{\operatorname {perf} }(X)} , one
Serre_duality
Number equal to the sum of its proper divisors
In number theory, a perfect number is a positive integer that is equal to the sum of its positive proper divisors, that is, divisors excluding the number
Perfect_number
Mental complex revolving around negative views of female sexuality
A Madonna–whore complex (also called a Madonna–mistress complex) is a psychological phenomenon first observed in psychoanalysis, and later applied to
Madonna–whore_complex
Category in mathematics
a scheme, is a perfect complex. In the case of a smooth projective variety X over a field, the category Perf(X) of perfect complexes can also be viewed
Triangulated_category
Idea in psychoanalysis
a perfect mirror of male sexuality. Castration anxiety Family romance Feminist views on the Oedipus complex Jocasta complex Madonna–whore complex Polymorphous
Oedipus_complex
Word processing application
WordPerfect (WP) is a word processing application, now owned by Corel. At the height of its popularity in the 1980s and early 1990s, it was the market
WordPerfect
2000 Nintendo 64 video game
Perfect Dark is a 2000 first-person shooter game developed and published by Rare for the Nintendo 64. The first game of the Perfect Dark series, it follows
Perfect_Dark
Algebraic structure
In algebra, a field K {\displaystyle K} is perfect if any one of the following equivalent conditions holds: Every irreducible polynomial over K {\displaystyle
Perfect_field
2015 film by Elizabeth Banks
Pitch Perfect 2 is a 2015 American musical comedy film directed and produced by Elizabeth Banks and written by Kay Cannon. It is a sequel to the 2012
Pitch_Perfect_2
Text in the Nag Hammadi library
"The Thunder, Perfect Mind" (Coptic: ⲧⲉⲃⲣⲟⲛⲧⲏ: ⲛⲟⲩⲥ ⲛ̄ⲧⲉⲗⲉⲓⲟⲥ tebrontē: nous n̄teleios) is a Coptic language text originally discovered in the Nag Hammadi
The_Thunder,_Perfect_Mind
Mathematics study in geometry
D^{b}(X)} , called its derived category, or the derived category of perfect complexes on an algebraic variety, denoted D perf ( X ) {\displaystyle D_{\operatorname
Derived noncommutative algebraic geometry
Derived_noncommutative_algebraic_geometry
Verb form focusing on the result of a past event
While the perfect is a relatively uniform category cross-linguistically, its relation to the experiential and resultative aspects is complex – the latter
Perfect_(grammar)
2017 film by Trish Sie
Pitch Perfect 3 is a 2017 American musical comedy film directed by Trish Sie and written by Kay Cannon and Mike White. It is the sequel to Pitch Perfect 2
Pitch_Perfect_3
2025 American film
'The Perfect Gamble' Heads To AFM With Bleiberg". Deadline Hollywood. Retrieved October 19, 2024. Complex, Valerie (May 28, 2024). "'The Perfect Gamble':
The_Perfect_Gamble
Irish actress (born 1991)
(2021); the comedy series Bad Sisters (2022); and the mystery series The Perfect Couple (2024). She also played the title role in the musical film Flora
Eve_Hewson
Perfect Pie is a play written by Judith Thompson, and first staged at Toronto's Tarragon Theatre in 2000, with Judith Thompson also directing. The assistant
Perfect_Pie
Mirror that solely reflects light without absorption or transmission
In optics, a perfect mirror is a mirror that reflects light (and electromagnetic radiation in general) perfectly, and does not transmit or absorb it.
Perfect_mirror
Sequence of points that get progressively closer to each other
Springer. ISBN 978-0-387-98239-7. Krause, Henning (2020). "Completing perfect complexes: With appendices by Tobias Barthel and Bernhard Keller". Mathematische
Cauchy_sequence
Mathematical group with trivial abelianization
special linear group over the real and complex numbers is perfect, but the general linear group GL is never perfect (except when trivial or over F 2 {\displaystyle
Perfect_group
Market structure in which firms are price takers for a homogeneous product
equilibrium theory, a perfect market, also known as an atomistic market, is defined by several idealizing conditions, collectively called perfect competition,
Perfect_competition
Musical interval
encompassing four staff positions in the music notation of Western culture, and a perfect fourth (Play) is the fourth spanning five semitones (half steps, or half
Perfect_fourth
2000 song by A Perfect Circle
"Judith" is a song by American rock band A Perfect Circle. It was released as the lead single from their debut album, Mer de Noms, on April 10, 2000.
Judith (A Perfect Circle song)
Judith_(A_Perfect_Circle_song)
finitely many steps. normal normal forms for matrices perfect 1. perfect complex 2. perfect module principal A principal indecomposable module is a
Glossary_of_module_theory
2011 Indian film by Dasaradh
Mr. Perfect is a 2011 Indian Telugu-language romantic drama film directed by Dasaradh, and produced by Dil Raju under Sri Venkateswara Creations. The
Mr._Perfect_(film)
Minor league baseball team
League was renamed as the Florida Complex League (FCL). Pentis, Andrew (July 19, 2012). "GCL Marlins trio tosses perfect game". "2020 Minor League Baseball
Florida Complex League Marlins
Florida_Complex_League_Marlins
Informal fallacy in comparing actualities with ideals
the tendency to assume there is a perfect solution to a particular problem. A closely related concept is the "perfect solution fallacy". By creating a
Nirvana_fallacy
2002 anime television series
pay-per-view distribution of Ghost in the Shell: Stand Alone Complex started on SKY PerfecTV!'s Perfect Choice [ja] on 1 October 2002. It ran for 26 episodes
Ghost in the Shell: Stand Alone Complex
Ghost_in_the_Shell:_Stand_Alone_Complex
Peer to peer software
reports that users of Perfect Dark are most likely to share books/manga. As of version 1.02 (2008), code-named "Stand Alone Complex", there is support for
Perfect_Dark_(P2P)
Archaeological site near Cairo, Egypt
The Giza pyramid complex (also called the Giza necropolis) in Egypt is home to the Great Pyramid, the pyramid of Khafre, and the pyramid of Menkaure,
Giza_pyramid_complex
2005 video game
TimeSplitters: Future Perfect is a 2005 first-person shooter video game developed by Free Radical Design and published by Electronic Arts for the GameCube
TimeSplitters:_Future_Perfect
maintained its dominance in the sport, as the team delivered a nearly perfect, complex choreography for another gold medal at its fourth consecutive Olympics
Synchronized swimming at the 2012 Summer Olympics – Women's team
Synchronized_swimming_at_the_2012_Summer_Olympics_–_Women's_team
Roberts, Paul (1985), "The vanishing of intersection multiplicities of perfect complexes", Bulletin of the American Mathematical Society, 13 (2), Bull. Amer
Serre's multiplicity conjectures
Serre's_multiplicity_conjectures
System composed of many interacting components
A complex system is a system composed of many components that interact with one another. Examples of complex systems are Earth's global climate, organisms
Complex_system
Generalization of matrix trace
∞-category of chain complexes of modules (over a fixed commutative ring R), dualizable objects V in C are precisely the perfect complexes. The trace in this
Categorical_trace
2017 mixtape by Nav and Metro Boomin
Meteoric Rise Is Far From Over". Complex. July 21, 2017. Retrieved July 21, 2017. "Metro Boomin Reveals Release Date for 'Perfect Timing' Project With NAV".
Perfect_Timing_(mixtape)
2016 American film
same time create a complex story with some emotional scenes and character arcs." He says he "realized a serious film called The Perfect Weapon with Steven
The Perfect Weapon (2016 film)
The_Perfect_Weapon_(2016_film)
2022 video game
Perfect Tides is a 2022 point-and-click adventure game developed by Three Bees, the development studio of cartoonist Meredith Gran. The game is set in
Perfect_Tides
Relate the direct image and the pull-back of sheaves
Bertrand (2012), Proper local complete intersection morphisms preserve perfect complexes, arXiv:1210.2827, Bibcode:2012arXiv1210.2827T Schnürer, O. M.; Soergel
Base_change_theorems
2026 video game
exploring The City, and navigating a series of increasingly-complex romantic relationships. Perfect Tides: Station to Station is a 2D point-and-click adventure
Perfect Tides: Station to Station
Perfect_Tides:_Station_to_Station
Canadian actress (born 1986)
Like Meaghan - Personality Complex: "Being Human" Star Meaghan Rath Loves How You're Underestimating Her - Complex CA". Complex CA. Bill Brownstein. "On
Meaghan_Rath
2016 mixtape by Lil Uzi Vert
The Perfect LUV Tape is the fourth mixtape by the American rapper and singer Lil Uzi Vert. It was released on July 31, 2016, through Atlantic Records
The_Perfect_LUV_Tape
American mathematician
paper are construction of the K-theory spectrum for the category of perfect complexes of coherent sheaves on a scheme, and the proof for localization theorems
Robert_Wayne_Thomason
Mathematical identity of polynomials
linear factors of the sum of two squares, using complex number coefficients. For example, the complex roots of z 2 + 4 {\displaystyle z^{2}+4} can be
Difference_of_two_squares
American translation services company
to securely send and store information for complex financial transactions. In October 2022, TransPerfect closed a deal to buy Paris based Hiventy Group
TransPerfect
geometry, given a Deligne–Mumford stack X, a perfect obstruction theory for X consists of: a perfect two-term complex E = [ E − 1 → E 0 ] {\displaystyle E=[E^{-1}\to
Perfect_obstruction_theory
2006 TV series or program
The Perfect Home is a television series of three 42 minute episodes commissioned for Channel 4 based on the book The Architecture of Happiness by Alain
The_Perfect_Home
Fundamental trigonometric functions
their extension to arbitrary positive and negative values and even to complex numbers. The sine and cosine functions are commonly used to model periodic
Sine_and_cosine
Unreleased studio album by Kanye West
Cuck (previously WW3 and later In a Perfect World) is an unreleased studio album by the American rapper Kanye West, who worked on it in collaboration
Cuck_(album)
Grammatical tense
languages. A related, and more complex, tense is the future perfect in the past, which is also known as the conditional perfect. Here, an event is situated
Future_in_the_past
revealed that he initially opposed Taven's final name before it made "perfect sense" to him. Reception to Taven was mostly negative; Hardcore Gaming
Characters of the Mortal Kombat series
Characters_of_the_Mortal_Kombat_series
Cuboid whose edges and face diagonals have integer lengths
Euler brick is an Euler brick whose edge lengths are relatively prime. A perfect Euler brick is one whose space diagonal is also an integer, but such a
Euler_brick
American conglomerate (1962–1986)
that. Also in 1968, Perfect Film purchased the Desilu Studios-Culver City complex and Plume & Atwood Industries. In March 1969, Perfect Film and Commonwealth
Cadence_Industries
2009 studio album by Keri Hilson
In a Perfect World... is the debut studio album by American singer-songwriter Keri Hilson. It was released on March 24, 2009, through Interscope Records
In_a_Perfect_World...
East Asian Buddhist philosophical concept
Perfect Interpenetration, interconnectedness or complete interfusion is a key philosophical concept in East Asian Buddhism, which was most prominently
Perfect_Interpenetration
Cooperation between the military and entertainment industries
The military–entertainment complex is the cooperation between militaries and entertainment industries to their mutual benefit, especially in such fields
Military–entertainment complex
Military–entertainment_complex
{f}{\underset {g}{\rightrightarrows }}}B} . perfect Sometimes synonymous with "compact". See perfect complex. pointed A category (or ∞-category) is called
Glossary_of_category_theory
2022 non-fiction book by Michael Schur
How to Be Perfect: The Correct Answer to Every Moral Question is a 2022 non-fiction book by American television producer and author Michael Schur. The
How_to_Be_Perfect
French actress (born 1980)
independent productions, in which she often portrays eccentric, villainous, and complex characters. The daughter of actress Marlène Jobert, she began her career
Eva_Green
Cocktail made with gin and vermouth
new versions. The traditional martini comes in a number of variations. A perfect martini uses equal amounts of sweet and dry vermouth. A dry martini contains
Martini_(cocktail)
Canadian rapper and record producer (born 1989)
With New Track "Lately"". Complex. Retrieved February 10, 2023. Hynes, Hayley (May 23, 2023). "Metro Boomin Confirms "Perfect Timing 2" Album With NAV:
Nav_(rapper)
Video game series
This installment expanded the role-playing elements by including a more complex attribute and leveling system where the protagonist, Alucard, increases
Castlevania
Used to count, measure, and label
11953176. Pollack, Paul; Shevelev, Vladimir (December 2012). "On perfect and near-perfect numbers". Journal of Number Theory. 132 (12). Elsevier: 3037–3046
Number
2018 American science fiction thriller film
Perfect is a 2018 American science fiction thriller film directed by Eddie Alcazar in his feature length debut. The film stars Garrett Wareing as a young
Perfect_(2018_film)
Psychological complex: emotionally frozen
between an idealised, perfect state and the actual reality of one's feelings and emotions. Marjorie Garber saw the Medusa Complex pervading Macbeth in
Medusa_complex
Geometric representation of the complex numbers
associated with any point in the complex plane. We perfect the one-to-one correspondence by adding one more point to the complex plane – the so-called point
Complex_plane
Stadium in Inglewood, California, U.S.
(January 26, 2019). "The Rams' $5 billion stadium complex is bigger than Disneyland. It might be perfect for L.A." Retrieved January 27, 2019. Gross, Benjamin
SoFi_Stadium
British actress (born 1981)
"What is the Concert for Diana?". BBC. 13 August 2015. "Diana concert a 'perfect tribute'". 2 July 2007. Retrieved 2 September 2024. Harvey, Catriona (13
Sienna_Miller
2015 single by Tyler, The Creator included in Cherry Bomb
YOUNG/PERFECT"". HypeBeast.com. Retrieved February 14, 2024. Holmes, Charles (August 1, 2017). "The 28 Best Tyler, The Creator Songs". Complex.com. Retrieved
Fucking_Young_/_Perfect
American influencer and streamer (born 2005)
(October 22, 2025). "IShowSpeed's 'Early Stream!' Is Now On IMDb With A Perfect 10 Rating. But Why?". News18. Network18 Group. Archived from the original
IShowSpeed
American actor and author (born 1960)
before, but not enough of them...Now here is their labor of love. Their perfect risotto. They include just what is needed and nothing else." That same
Stanley_Tucci
Relationship among tones of the chromatic scale
chromatic scale in a cycle of ascending perfect fifths. Since the cycle ascends in the opposite direction by perfect fourths, it is sometimes also called
Circle_of_fifths
American rapper and producer (born 1977)
singles, and on June 22, announced he was changing the album's title to In a Perfect World; the album was ultimately scrapped. On April 29, West released Donda
Kanye_West
Book by J. Stephen Lansing
Perfect Order: Recognizing Complexity in Bali is a 2006 book by anthropologist J. Stephen Lansing about Balinese culture. It focuses on the development
Perfect_Order
infinitely many perfect numbers? Do any odd perfect numbers exist? Do quasiperfect numbers exist? Do any non-power of 2 almost perfect numbers exist? Are
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Canadian rapper and singer (born 1986)
have the fairy tale [of] 'Drake started a family with Rihanna, [it's] so perfect'. It looks so good on paper [and] I wanted it too at one time. Drake is
Drake_(musician)
2001 terror attacks in the U.S.
American Airlines Flight 11 into the North Tower of the World Trade Center complex at 8:46 a.m. At 9:03 a.m. Marwan al-Shehhi flew United Airlines Flight
September_11_attacks
American writer and physician (born 1980)
Freida McFadden. Retrieved 2026-04-09. "The Perfect Son". Author Freida McFadden. Retrieved 2026-04-09. "The Perfect Son by Freida McFadden". The Poisoned Pen
Freida_McFadden
Country in North America
December 1988. In 1990 the PRI was described by Mario Vargas Llosa as the "perfect dictatorship", but there had been major challenges to the PRI's hegemony
Mexico
Conjecture on zeros of the zeta function
Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part 1/2. Many consider it to be the most important
Riemann_hypothesis
Void between celestial bodies
It contains ultra-low levels of particle densities, constituting a near-perfect vacuum of predominantly hydrogen and helium plasma, permeated by electromagnetic
Outer_space
Fictional character from Dragon Ball
(Japanese: セル, Hepburn: Seru), later known as Semi-Perfect Cell, Perfect Cell, and Super Perfect Cell, is a fictional character and antagonist in the
Cell_(Dragon_Ball)
Core pattern of emotions, memories, perceptions, and desires
A complex is a structure in the unconscious that is objectified as an underlying theme—like a power or a status—by grouping clusters of emotions, memories
Complex_(psychology)
2006 film by David Frankel
unsympathetic character far more complex than she had been in the novel. "With her silver hair and pale skin, her whispery diction as perfect as her posture, Ms. Streep's
The_Devil_Wears_Prada_(film)
American singer and songwriter (born 1982)
Perfect timing". Blues & Soul. Archived from the original on October 15, 2012. Scott, Damien (August 3, 2009). "Keri Hilson (Cover Story)". Complex.
Keri_Hilson
Robotic antagonist in "Terminator 2: Judgment Day"
film as mimetic polyalloy, rendering it capable of shapeshifting and near-perfect mimicry of people and objects that come into contact with it. Although
T-1000
Verbs in the Hindi and Urdu languages
find a noun kām 'work' and a perfective form of the verb karnā, 'do' whereas in (2) the verbal predicate exhibits a complex construction made of two elements
Hindustani_verbs
also its periodic cyclic homology. When applied to the category of perfect complexes on a smooth proper variety X, these invariants give back differential
Hodge–de Rham spectral sequence
Hodge–de_Rham_spectral_sequence
West Germanic language
contrast between a perfect and non-perfect past tense ("I have run" vs. "I was running"), and compound tenses such as preterite perfect ("I had been running")
English_language
Australian actress and model (born 1992)
G.I. Joe spinoff Snake Eyes, and Jessica in the Hulu drama series Nine Perfect Strangers, which is based on the novel of the same name by Liane Moriarty
Samara_Weaving
Play by William Shakespeare
Defence of Poetry (1821), Percy Bysshe Shelley called King Lear "the most perfect specimen of the dramatic art existing in the world", and the play is regularly
King_Lear
Ethio-Semitic language
following tense forms: present perfect nägro -all/näbbär 'He has said'. past perfect nägro näbbär 'He had said'. possible perfect nägro yǝhonall 'He (probably)
Amharic
Numbers obtained by adding the two previous ones
be a perfect number. More generally, no Fibonacci number other than 1 can be multiply perfect, and no ratio of two Fibonacci numbers can be perfect. With
Fibonacci_sequence
2019 film by Josh Cooley
manages the unlikely feat of extending—and perhaps concluding—a practically perfect animated saga." Metacritic, which uses a weighted average, assigned the
Toy_Story_4
Number divisible only by 1 and itself
and the fundamental theorem of arithmetic, and shows how to construct a perfect number from a Mersenne prime. Another Greek invention, the Sieve of Eratosthenes
Prime_number
Game whose outcome can be correctly predicted
the first player will win, lose or draw from the initial position, given perfect play on both sides . This can be a non-constructive proof (possibly involving
Solved_game
Fictional magazine editor in "The Devil Wears Prada"
unsympathetic character far more complex than she had been in the novel. "With her silver hair and pale skin, her whispery diction as perfect as her posture, Ms. Streep's
Miranda_Priestly
PERFECT COMPLEX
PERFECT COMPLEX
Surname or Lastname
English
English : variant of Parfitt.
Girl/Female
Indian, Telugu
Perfect
Girl/Female
Assamese, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Perfect
Girl/Female
Hindu, Indian, Japanese, Kannada, Malayalam, Marathi, Telugu
Perfect
Boy/Male
Tamil
Perfect
Boy/Male
Tamil
Perfect
Girl/Female
Spanish
Perfect.
Girl/Female
Arabic
Perfect.
Surname or Lastname
French
French : from a pet form of the personal name P(i)erre, French form of Peter.English (Bristol) : variant of Parrott
Boy/Male
Muslim
Perfect
Surname or Lastname
English (Bristol)
English (Bristol) : variant of Parrott 1.
Boy/Male
Hindu
Perfect
Girl/Female
Tamil
Surasti | ஸà¯à®°à®¸à¯à®¤à¯€
Perfect
Surasti | ஸà¯à®°à®¸à¯à®¤à¯€
Boy/Male
French
Perfect.
Girl/Female
Tamil
Nicika | நீஸீகா  Â
Perfect
Nicika | நீஸீகா  Â
Boy/Male
Muslim
Perfect
Girl/Female
Arabic, Muslim, Pakistani
Perfect
Girl/Female
Tamil
Perfect
Girl/Female
Hindu
Perfect
Girl/Female
Hindu, Indian, Marathi, Tamil, Telugu
Perfect
PERFECT COMPLEX
PERFECT COMPLEX
Boy/Male
Hindu, Indian, Sanskrit
Guardian
Boy/Male
Tamil
Sukhamay | ஸூக஼மயÂ
Pleasurable
Boy/Male
Irish English
Poet.
Female
French
Variant spelling of French Gileberte, GILABERTE means "pledge-bright."
Girl/Female
English
Blend of Geri plus Erica.
Boy/Male
Arabic
King
Boy/Male
Afghan, Arabic, Australian, Muslim
Always
Girl/Female
Muslim
Worshipper
Girl/Female
Muslim
Generous, Loyal, Close, Intimate, Friendly
Boy/Male
Hindu, Indian
Flower
PERFECT COMPLEX
PERFECT COMPLEX
PERFECT COMPLEX
PERFECT COMPLEX
PERFECT COMPLEX
a.
To make perfect; to finish or complete, so as to leave nothing wanting; to give to anything all that is requisite to its nature and kind.
a.
Hermaphrodite; having both stamens and pistils; -- said of flower.
v. t.
To make imperfect.
a.
Producing mathematically perfect harmony or concord; sweetly or perfectly harmonious.
n.
Execution; performance; realization; operation; as, the law goes into effect in May.
n.
The perfect tense, or a form in that tense.
a.
Not perfect; not complete in all its parts; wanting a part; deective; deficient.
a.
Brought to consummation or completeness; completed; not defective nor redundant; having all the properties or qualities requisite to its nature and kind; without flaw, fault, or blemish; without error; mature; whole; pure; sound; right; correct.
a.
Perfect.
n.
Failing; fault; imperfection, whether physical or moral; blemish; as, a defect in the ear or eye; a defect in timber or iron; a defect of memory or judgment.
a.
Liable to defect; imperfect.
n.
Power to produce results; efficiency; force; importance; account; as, to speak with effect.
n.
One who, or that which, makes perfect.
a.
Imperfect.
a.
Perfect.
n.
The imperfect tense; or the form of a verb denoting the imperfect tense.
adv.
In a perfect manner or degree; in or to perfection; completely; wholly; throughly; faultlessly.
a.
Well informed; certain; sure.
imp. & p. p.
of Perfect
n.
A Roman officer who controlled or superintended a particular command, charge, department, etc.; as, the prefect of the aqueducts; the prefect of a camp, of a fleet, of the city guard, of provisions; the pretorian prefect, who was commander of the troops guarding the emperor's person.