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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
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
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)
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
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
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
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
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
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
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
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
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)
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
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)
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
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
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
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
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
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)
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
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
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
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
2015 American 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
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
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
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...
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
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
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
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
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)
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
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
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
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
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
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
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
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
Unreleased studio album by Kanye West
Cuck (originally titled WW3, later retitled to In a Perfect World; all stylized in all caps), is an unreleased studio album by the American rapper Kanye
Cuck_(album)
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
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)
action of A6 on the complex projective plane, and was studied further by Wiman (1896). All perfect alternating groups have perfect double covers. In most
Valentiner_group
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)
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
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
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
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
British mathematician
(Hafner, 1959).[ITG] The Perfect–Mirsky conjecture, named after Perfect and Leon Mirsky, concerns the region of the complex plane formed by the eigenvalues
Hazel_Perfect
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
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)
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
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)
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
Mathematical identity of polynomials
the difference of two consecutive perfect squares is an odd number. Similarly, the difference of two arbitrary perfect squares is calculated as follows:
Difference_of_two_squares
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
2004 novel by Jacek Dukaj
Perfect Imperfection: First third of progress (Polish: Perfekcyjna niedoskonałość. Pierwsza tercja progresu; also sometimes translated as "Ideal Imperfection")
Perfect_Imperfection_(novel)
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
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
2026 studio album by Chris Brown
featuring Lucky Daye, is a slow-jam duet emphasizing vocal chemistry. "Perfect Timing", featuring Fridayy, incorporates "old school R&B" textures with
Brown_(Chris_Brown_album)
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., hijacker Marwan al-Shehhi flew United Airlines
September_11_attacks
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
{f}{\underset {g}{\rightrightarrows }}}B} . perfect Sometimes synonymous with "compact". See perfect complex. pointed A category (or ∞-category) is called
Glossary_of_category_theory
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
American actor and comedian (born 1964)
on Seinfeld, the title character on The Tick, Jeb Denton on Less than Perfect, Jeff Bingham on Rules of Engagement, and Lemony Snicket on A Series of
Patrick_Warburton
National Football League franchise in Philadelphia, Pennsylvania
home games at Lincoln Financial Field in the South Philadelphia Sports Complex. The franchise was established in 1933 as a replacement for the bankrupt
Philadelphia_Eagles
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
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
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)
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
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
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
Japanese manga series by Paru Itagaki
Beast Complex (stylized in all caps) is a Japanese manga series written and illustrated by Paru Itagaki. It is a compilation of short stories set in the
Beast_Complex
American baseball player (born 2001)
pitched and had a .414 batting average with five home runs. He played in the Perfect Game All-American Classic and the Under Armour All-America Baseball Game
Spencer_Jones_(outfielder)
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
Industry involved with discovery, development, production and marketing of drugs
shops in the mid-1800s. By the late 1880s, German dye manufacturers had perfected the purification of individual organic compounds from tar and other mineral
Pharmaceutical_industry
Word processor
standard word processing software since the 1990s when it eclipsed WordPerfect. Commercial versions of Word are licensed as a standalone product or as
Microsoft_Word
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
Skyscraper complex in Manhattan, New York
Rockefeller Center is a complex of 19 commercial buildings covering 22 acres (8.9 ha) between 48th Street and 51st Street in the Midtown Manhattan neighborhood
Rockefeller_Center
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
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
Fractal named after mathematician Benoit Mandelbrot
(/ˈmændəlbroʊt, -brɒt/) is a two-dimensional set. It is defined in the complex plane as the complex numbers c {\displaystyle c} for which the function f c ( z )
Mandelbrot_set
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
American rapper (born 2006)
Inspired By Chief Keef + More!. Retrieved June 8, 2025 – via YouTube. che's "Perfect 10" Album. Retrieved June 8, 2025 – via www.youtube.com. "Impactful artists
Che_(rapper)
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
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
Podcast about American history and politics
More Perfect, sometimes stylized as Radiolab Presents: More Perfect, is a podcast about American history and politics provided by WNYC Studios. Its first
More_Perfect
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
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)
TV series
drug smuggling, her mother Orna (Liraz Chamami) attempts to navigate a complex legal and political system to secure her release. To save her, Orna is
Unconditional_(TV_show)
Baseball complex in Massachusetts, US
Baseball Complex (NEBC) is a 30-acre baseball complex in Northborough, Massachusetts owned by the New England Baseball Enterprises. The complex is home
New_England_Baseball_Complex
British TV series (2019–present)
he provides a grounded perspective while assisting her in navigating complex investigations. Paapa Essiedu as Isaac Turner MP (series 2–3) – The Minister
The_Capture_(TV_series)
2nd episode of the 2nd season of Yellowjackets
Bleeding Cool gave the episode a perfect 10 out of 10 rating and wrote, "Showtime's Yellowjackets S02E02 "Edible Complex" was a wild journey through the
Edible_Complex
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
American actor (born 1981)
(June 16, 2023). "Boyd Holbrook: 'You know what I'm striving for? The perfect performance'". The Guardian. Retrieved January 23, 2026. "Boyd Holbrook"
Boyd_Holbrook
Reproductive structure in flowering plants
known collectively as an inflorescence. The development of flowers is a complex and important part in the life cycles of flowering plants. In most plants
Flower
PERFECT COMPLEX
PERFECT COMPLEX
Surname or Lastname
English
English : variant of Parfitt.
Girl/Female
Tamil
Nicika | நீஸீகா  Â
Perfect
Nicika | நீஸீகா  Â
Girl/Female
Spanish
Perfect.
Girl/Female
Arabic, Muslim, Pakistani
Perfect
Boy/Male
Muslim
Perfect
Boy/Male
French
Perfect.
Boy/Male
Muslim
Perfect
Boy/Male
Hindu
Perfect
Girl/Female
Indian, Telugu
Perfect
Girl/Female
Assamese, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Perfect
Girl/Female
Arabic
Perfect.
Surname or Lastname
English (Bristol)
English (Bristol) : variant of Parrott 1.
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
Girl/Female
Hindu, Indian, Marathi, Tamil, Telugu
Perfect
Girl/Female
Hindu, Indian, Japanese, Kannada, Malayalam, Marathi, Telugu
Perfect
Girl/Female
Tamil
Perfect
Girl/Female
Hindu
Perfect
Boy/Male
Tamil
Perfect
Boy/Male
Tamil
Perfect
Girl/Female
Tamil
Surasti | ஸà¯à®°à®¸à¯à®¤à¯€
Perfect
PERFECT COMPLEX
PERFECT COMPLEX
Boy/Male
British, English
English Surname
Boy/Male
Hindu
Light of soul
Girl/Female
English American
Modernused for girls.
Girl/Female
Arabic
Sweet
Boy/Male
Hindu, Indian
Lord
Boy/Male
Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Lord Shiva
Boy/Male
Aramaic English
Ploughman.
Boy/Male
Muslim/Islamic
Slave of the Firm
Girl/Female
Tamil
Prapthi | பà¯à®°à®¾à®ªà¯à®¤à®¿
Achievement, Discovery, Gain, Determination
Girl/Female
Hindu, Indian
Goddess Laxmi; Pearl; Lot of Prosperity; Angel
PERFECT COMPLEX
PERFECT COMPLEX
PERFECT COMPLEX
PERFECT COMPLEX
PERFECT COMPLEX
a.
Well informed; certain; sure.
adv.
In a perfect manner or degree; in or to perfection; completely; wholly; throughly; faultlessly.
a.
Perfect.
a.
Producing mathematically perfect harmony or concord; sweetly or perfectly harmonious.
v. t.
To make imperfect.
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.
n.
The perfect tense, or a form in that tense.
n.
Execution; performance; realization; operation; as, the law goes into effect in May.
n.
One who, or that which, makes perfect.
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.
Hermaphrodite; having both stamens and pistils; -- said of flower.
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.
n.
Power to produce results; efficiency; force; importance; account; as, to speak with effect.
a.
Perfect.
n.
The imperfect tense; or the form of a verb denoting the imperfect tense.
imp. & p. p.
of Perfect
a.
Imperfect.
a.
Liable to defect; imperfect.
a.
Not perfect; not complete in all its parts; wanting a part; deective; deficient.
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.