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mathematics, an exceptional object is one of finitely many exceptions to some classification of objects. Many branches of mathematics study objects of a given
Exceptional_object
Mathematical coincidence
phenomena, such as exceptional objects. In the following, coincidences are organized according to the structures where they occur. The exceptional isomorphisms
Exceptional_isomorphism
produce a semiorthogonal decomposition is from an exceptional collection, a special sequence of objects in a triangulated category. For an algebraic variety
Semiorthogonal_decomposition
'object'. Abstract and concrete Exceptional object Impossible object List of mathematical objects Mathematical space Mathematical structure Object (category
Mathematical_object
Topics referred to by the same term
circumstances Exceptional objects, in mathematics Exceptional isomorphisms State of exception, a concept of extension of sovereign power Exceptionality (disambiguation)
Exception
Heritage protection classification in Serbia
of Exceptional Importance (Serbian: Непокретна културна добра од изузетног значаја/Nepokretna kulturna dobra od izuzetnog značaja) are those objects of
Immovable Cultural Heritage of Exceptional Importance (Serbia)
Immovable_Cultural_Heritage_of_Exceptional_Importance_(Serbia)
Connected non-abelian Lie group lacking nontrivial connected normal subgroups
infinite families, largely because their descriptions make use of exceptional objects. For example, the group associated to G2 is the automorphism group
Simple_Lie_group
Counterintuitive mathematical object
Ariane 5). A similar but distinct phenomenon is that of exceptional objects (and exceptional isomorphisms), which occurs when there are a "small" number
Pathological_(mathematics)
Linguistics phenomenon
unexpectedly marked with object case morphology (him not he, her not she, etc.). The unexpected object case morphology is deemed "exceptional". The term ECM itself
Exceptional_case-marking
Idea of the United States as unique nation
See templates for discussion to help reach a consensus. › American exceptionalism is the belief that the United States is distinctive, unique, or exemplary
American_exceptionalism
Natural number
related to other appearances of the number seven in relation to exceptional objects, like the fact that the octonions contain seven distinct square roots
7
Types of accurate and detailed recall
Exceptional memory is the ability to have accurate and detailed recall in a variety of ways, including hyperthymesia, eidetic memory, synesthesia, and
Exceptional_memory
Solar system objects beyond the other known trans-Neptunian objects
objects, ESDOs) have perihelia around 38–45 AU and an exceptionally high eccentricity of more than 0.85. As with the regular scattered disc objects,
Extreme trans-Neptunian object
Extreme_trans-Neptunian_object
following is a collection of lists of asteroids of the Solar System that are exceptional in some way, such as their size or orbit. For the purposes of this article
List_of_exceptional_asteroids
Compact extragalactic object
(RUBIES-UDS-154183) is a compact extragalactic object observed as a little red dot with an exceptional (and cliff-like) Balmer jump. It was discovered
The Cliff (astronomical object)
The_Cliff_(astronomical_object)
Apparent unusual observation in the sky
An unidentified flying object (UFO) is an object or phenomenon seen in the sky but not yet identified or explained. The term was coined when United States
Unidentified_flying_object
Magnitude or dimension of a thing
in an object (though "matter" may be difficult to define), whereas weight refers to the force experienced by an object due to gravity. An object with a
Size
thousands. For longer lists, see list of exceptional asteroids, list of asteroids, or list of Solar System objects by size. Asteroid moons A number of smaller
List_of_Solar_System_objects
astronomical object. List of Solar System objects List of gravitationally rounded objects of the Solar System List of Solar System objects most distant
Lists_of_astronomical_objects
involved in crafting an exceptional object. For consumers within the community of the artisan, their first priority is also that the object works well. They
Concepts_in_folk_art
Constellation split into two non-contiguous parts
quasar, but there are problems with this theory, and the object appears to be an exceptional object that does not completely lie within current classification
Serpens
Marvel Comics series
Exceptional X-Men is an American superhero comic book series published by Marvel Comics. The series focuses on Kitty Pryde and Emma Frost as they adapt
Exceptional_X-Men
Personal pronoun that is used as the subject of a verb
subject. For example, exceptional case marking (ECM) constructions involve the subject of a non-finite clause which appears in the object form (e.g., I want
Subject_pronoun
Triple-star system in the constellation Norma
in our Galactic plane X-ray and radio survey, and revealed as an exceptional object on considering its infra-red spectral energy distribution (SED), where
Apep_(star_system)
Church building in Amay, Belgium
connection with the canonisation of Chrodoara. It is classified as an exceptional heritage object (French: bien exceptionnel) by the French Community of Belgium
Collegiate Church of Saint George and Saint Ode
Collegiate_Church_of_Saint_George_and_Saint_Ode
Aspect of mathematical group theory
standard examples of these automorphisms, and objects of study in their own right, particularly the exceptional outer automorphism of S6, the symmetric group
Automorphisms of the symmetric and alternating groups
Automorphisms_of_the_symmetric_and_alternating_groups
2008 album by of Montreal
October 19, 2013, at the Wayback Machine 'We Will Only Propagate Exceptional Objects' Archived September 30, 2008, at the Wayback Machine "Interviews:
Skeletal_Lamping
Protuberance atop of the head of the Buddha
ISBN 9783034306829., p. 495 Mallah, Qasid Hussain; Shafiq, Tooba (2016). "Exceptional objects from Lakhan-jo Daro". Frontier Archaeology. 10–14: 81–88 – via researchgate
Ushnisha
Planetary system consisting of the Sun and objects orbiting it
planet (see List of exceptional asteroids): Ceres (2.55–2.98 AU) is the only dwarf planet in the asteroid belt. It is the largest object in the belt, with
Solar_System
Ancient Greek cuirass at the Bardo National Museum
stay of the Punic army, between 211 and 203 BC, which makes it an exceptional object. Ancient Carthage Ben Younès 2001, p. 69. Merlin 1909, p. 126. Lipiński
Ksour_Essef_cuirass
Mathematics study in geometry
a little further by considering exceptional collections of objects, which generate their own subcategories. An object E {\displaystyle E} in a triangulated
Derived noncommutative algebraic geometry
Derived_noncommutative_algebraic_geometry
construction Hypercomplex number Latin square Stillwell, John (2002). "Exceptional Objects". Mathematical evolutions. Washington, D.C.: Mathematical Association
Degen's_eight-square_identity
Personal pronoun that is used typically as a grammatical object
an object pronoun is a personal pronoun that is used typically as a grammatical object: the direct or indirect object of a verb, or the object of a
Object_pronoun
Spherical triangle that can be used to tile a sphere
space there is a three-parameter family of Möbius triangles, and no exceptional objects. A fundamental domain triangle (p q r), with vertex angles π⁄p, π⁄q
Schwarz_triangle
Concept in linguistics
verbs and raising-to-object predicates. Raising-to-object predicates overlap to a large extent with so-called ECM-verbs (= exceptional case-marking). These
Raising_(syntax)
Machine learning algorithm
The Viola–Jones object detection framework is a machine learning object detection framework proposed in 2001 by Paul Viola and Michael Jones. It was motivated
Viola–Jones object detection framework
Viola–Jones_object_detection_framework
interstellar space, all the objects listed here are likely to continue into deep space in timelines that, barring the exceptionally unlikely chance of their
List of artificial objects leaving the Solar System
List_of_artificial_objects_leaving_the_Solar_System
Fictional characters appearing in DC Comics
dies, he takes care to assume a final form whose fingerprints are an exceptionally close match to Alfred's, allowing Batman to clear Alfred of murder by
Clayface
Art museum in Kuala Lumpur, Malaysia
coming from the greater Malay world. The collection contains rare and exceptional objects which serve as important reference materials. The museum is open
Museum of Asian Art, Kuala Lumpur
Museum_of_Asian_Art,_Kuala_Lumpur
Young substellar object
J0506+0738 (also known as CWISE J050626.96+073842.4) is an exceptionally red substellar object, likely located in the Beta Pictoris moving group. CWISE
CWISE_J0506+0738
Range of views in political science and philosophy
intelligence, as well as ethical virtues. They should therefore ideally have exceptional academic qualifications, knowledge of the social sciences, records of
Epistemic_democracy
Limiting case which is different from the rest of the class
the degenerate cases are the exceptional cases where changes to the usual dimension or the cardinality of the object (or of some part of it) occur.
Degeneracy_(mathematics)
American domestic terrorist (1942–2023)
for their children". Both Ted and David were intelligent, but Ted was exceptionally bright. Neighbors described him as a smart but lonely individual. Kaczynski
Ted_Kaczynski
Hypothetical planets further than Neptune
out the possibility of a Saturn-sized object (95 Earth masses) out to 10,000 AU and a Jupiter-sized or larger object (>318 Earth masses) out to 26,000 AU
Planets_beyond_Neptune
Compact astronomical body
In general relativity, crossing a black hole's event horizon traps an object inside but produces no locally detectable change. General relativity also
Black_hole
Approach to managing resources by tying them to object lifetime
acquisition is initialization (RAII) is a programming idiom used in several object-oriented, statically typed programming languages to describe a particular
Resource acquisition is initialization
Resource_acquisition_is_initialization
Planet not gravitationally bound to a star
free-floating planet (FFP) or an isolated planetary-mass object (iPMO), is an interstellar object of planetary mass which is not gravitationally bound to
Rogue_planet
American astronomer
the most recent being Near-Earth Objects: Finding Them Before They Find Us (2012). Yeomans received the NASA Exceptional Service Medal in 1986, a Space
Donald_Yeomans
Part of speech that defines a noun or pronoun
table clean" and "We danced naked in the rain" (see Subject complement, Object complement). Nominalized adjectives, which function as nouns. One way this
Adjective
Word that substitutes for a noun or noun phrase
subject and object. Subject pronouns are used in subject position (I like to eat chips, but she does not). Object pronouns are used for the object of a verb
Pronoun
1959 artist's book by Piero Manzoni
placed inside a zinc cylinder covered in lead sheets. Two more Lines of Exceptional Length were made on 24 July 1961, one 1,000 m long, the other 1,140 metres
Linee
Control Coreference Differential Object Marking Discontinuity Do-support Dummy pronouns Ellipsis Ergative verb Exceptional case-marking Existential clauses
List_of_syntactic_phenomena
Small Solar System body
1996 PW is an exceptionally eccentric trans-Neptunian object and damocloid on an orbit typical of long-period comets but one that showed no sign of cometary
1996_PW
Potentially hazardous near-Earth asteroid
2004 MN4) is a near-Earth asteroid classified as a potentially hazardous object. Its mean diameter is about 340–370 metres (1,120–1,210 ft), while radar
99942_Apophis
Barred spiral galaxy in the Local Group
of the most distant objects that can be seen with the naked eye, due to its sheer size. (M33 and, for observers with exceptionally good vision, M81 can
Andromeda_Galaxy
up to Marcus and his friends and engage in a Bey battle. Demure has exceptional eyesight and is able to analyze the opposing beys and advises Kyoya and
Beyblade:_Metal_Masters
First-person plural personal pronoun in English
generally must include the speaker, along with other persons, with a few exceptional cases. We is always definite and specific. The royal we, or majestic
We
Lake island in Quebec, Canada
ecological reserve, a biodiversity reserve and an exceptional geological site. There seems to be an exceptional concentration of old-growth boreal forest stands
René-Levasseur_Island
2016 child abuse and murder case in Singapore
death penalty should only be reserved for the cases that demonstrated exceptional cruelty and a blatant disregard for human life, and also sparked an outrage
2016 Toa Payoh child abuse case
2016_Toa_Payoh_child_abuse_case
Category of words based on shared grammatical properties in a clause
For example, verbs may be specified according to the number and type of objects or other complements which they take. This is called subcategorization
Part_of_speech
Largest dwarf planet in the Solar System
ninth-largest and tenth-most-massive known object to directly orbit the Sun. It is the largest known trans-Neptunian object by volume by a small margin, but is
Pluto
Curse on heretics which forms part of Jewish rabbinical liturgy
fold in this period, Maimonides explained the prayer as arising from exceptional circumstances that required a community response to the emergence of
Birkat_haMinim
American politician and lawyer (born 1962)
"the Lord's Prayer, as taught by Jesus Christ". In early 2017, Paxton objected to a Texas school's use of an empty classroom to allow its Muslim students
Ken_Paxton
Upcoming video game
Blazewicz, Jacob (7 November 2025). "Rockstar North morale is said to be exceptionally low, and not necessarily because of another GTA 6 delay". Gamepressure
Grand_Theft_Auto_VI
Linguistic category
Catenative Compound Copular Defective Denominal Deponent Ditransitive Dynamic Exceptional case-marking Frequentative Germanic strong Germanic weak Impersonal Inchoative
Discourse_marker
Most hazardous risk–listed near-Earth asteroid
(29075) 1950 DA is a risk-listed asteroid, classified as a near-Earth object and potentially hazardous asteroid of the Apollo group, approximately 1.3
(29075)_1950_DA
Galaxy in the constellation Piscis Austrinus
PKS 2155−304 is a BL Lac object, a galaxy hosting a type of blazar. It is a strong emitter from radio to high-energy frequencies. PKS 2155−304 is at redshift
PKS_2155−304
American astrophysicist
Gerry Neugebauer discovered an exceptionally bright infrared source within Orion known today as the Becklin-Neugebauer Object. He was elected a Fellow of
Eric_Becklin
Oldest known evidence of Christianity north of the Alps
any grave goods, while the remaining burials were characterised by an exceptionally diverse range of grave furnishings. Particularly noteworthy is the high
Frankfurt_silver_inscription
Vice President of the United States since 2025
fact checked on the status of Haitian immigrants in Springfield, Ohio, he objected saying, "The rules were that you were not going to fact check", and argued
JD_Vance
Isomorphism of an object to itself
isomorphism from a mathematical object to itself. It is, in some sense, a symmetry of the object, and a way of mapping the object to itself while preserving
Automorphism
Spiral galaxy in the constellation Ursa Major
Galaxy". In 1779, Pierre Méchain and Charles Messier reidentified Bode's object, hence listed it in the Messier Catalogue. The galaxy is to be found approximately
Messier_81
American serial killer (1960–1994)
boiling water into the cavity. He later recalled Weinberger's death to be exceptional, as he was the only victim who died with his eyes open. He kept Weinberger's
Jeffrey_Dahmer
Feature of some programming languages
concept: it comes from option types, which enforce explicit handling of the exceptional case. The following programming languages support nullable types. Statically
Nullable_type
The Annotated C++ Reference Manual Herb Sutter – Exceptional C++, More Exceptional C++, Exceptional C++ Style, C++ Coding Standards John Paul Mueller
List_of_computer_books
Interstellar comet in 2025
threat. The prefix "3I" designates it as the third confirmed interstellar object passing through the Solar System, after 1I/ʻOumuamua and 2I/Borisov. 3I/ATLAS
3I/ATLAS
He is also a masochist, which is seen through his self-mutilation. Exceptionally powerful and arrogant, he attempted to kill off Hakufu in order to change
List of Ikki Tousen characters
List_of_Ikki_Tousen_characters
trillion bonds per square centimetre, which its creators describe as having exceptional flexibility and strength. Adding just 2.5% of the new material to Ultem
2025_in_science
Library and museum in Catalonia, Spain
Balaguer's collecting passion. Little but splendid samples that have exceptional objects such as a Mozarabic mortar from the 12th century. In December 2010
Biblioteca Museu Víctor Balaguer
Biblioteca_Museu_Víctor_Balaguer
special Syd Macartney Heidi Thomas 25 December 2017 (2017-12-25) 9.57 The exceptionally harsh winter of 1962–63 causes disruption for the residents of Poplar
List of Call the Midwife episodes
List_of_Call_the_Midwife_episodes
Large, round non-stellar astronomical object
just as a falling object on Earth accelerates as it falls. As the planet nears apastron, its speed decreases, just as an object thrown upwards on Earth
Planet
Ancient Jewish biblical manuscripts
the scroll was not to be regarded as such but was a document without exceptional significance. Stegemann notes that it is not mentioned or cited in any
Dead_Sea_Scrolls
Law enforcement agency appearing in DC Comics
Power Battery. The most significant limitation makes only people with exceptional willpower able to use them, making it difficult for average individuals
Green_Lantern_Corps
Mathematical concept
concept, and infinite mathematical objects can be studied, manipulated, and used just like any other mathematical object. The mathematical concept of infinity
Infinity
2024 film
Logan by skydiving. Before jumping, they spot a large unidentified flying object and several fighter jets. An alien boards the plane before it collides with
V/H/S/Beyond
When the two institutes combined, they brought together two of the most exceptional and successful engineers in the history of Soviet rocketry. Korolev teamed
Soviet_rocketry
Innermost Galilean moon of Jupiter
any known astronomical object in the Solar System. With over 400 active volcanoes, Io is the most geologically active object in the Solar System. This
Io_(moon)
New Zealand mountaineer (1919–2008)
I well remember his prophesying this – and how right he was. Quite exceptionally strong and abounding in a restless energy, possessed of a thrusting
Edmund_Hillary
2013 video game
games ever made", and Play considered it "generation-defining" and "exceptional". Edge wrote that it is a "remarkable achievement" in open-world design
Grand_Theft_Auto_V
Downloadable content for the 2019 video game Control
cavernous area at the center of the Oldest House that houses the Nail, an object that connects the Oldest House to the Astral Plane. Jesse finds the Nail
Control_downloadable_content
Hypothetical Solar System planet
the peculiar clustering of orbits for a group of extreme trans-Neptunian objects (ETNOs)—bodies beyond Neptune that orbit the Sun at distances averaging
Planet_Nine
President of the United States from 1861 to 1865
participating in jumping, throwing, wrestling, and footraces, and demonstrating exceptional strength. Burlingame notes that Lincoln's clothes "were typically rough
Abraham_Lincoln
Khan of the Mongol Empire from 1206 to 1227
(lit. '"good for good, evil for evil"'), the steppe code of justice. In exceptional circumstances, such as when Muhammad of Khwarazm executed his envoys
Genghis_Khan
Optical phenomenon
Morgana mirages significantly distort the object or objects on which they are based, often such that the object is completely unrecognizable. A Fata Morgana
Fata_Morgana_(mirage)
Galaxy containing the Solar System
Puech, M.; Chemin, L.; Flores, H.; et al. (2007). "The Milky Way, an Exceptionally Quiet Galaxy: Implications for the Formation of Spiral Galaxies". The
Milky_Way
suggesting that specific aging-related biological pathways are slowed in exceptional longevity. 26 February – Researchers in Australia report that serum bicarbonate
2026_in_science
American singer and actor (1935–1977)
his characteristic vocal tricks or mannerisms", instead relying on the exceptional "clarity and sensitivity of his voice". Guralnick describes the song's
Elvis_Presley
Japanese web novel series and manga
enchantment magic can also be applied to technological objects. Heaven's Relics (天の遺産, ten no isan) Exceptionally powerful supernatural abilities that exist outside
The Laid-Off Cheat-Granting Mage Enjoys a Second Lease on Life
The_Laid-Off_Cheat-Granting_Mage_Enjoys_a_Second_Lease_on_Life
Queen of France from 1774 to 1792
financial crisis and the population suffered, but she seems to have been exceptionally frugal, when need be, and once refrained from buying expensive presents
Marie_Antoinette
American musician (1940–1993)
Zappa's output is unified by a conceptual continuity he termed "Project/Object", with numerous musical phrases, ideas and characters reappearing throughout
Frank_Zappa
travel, tourism, insurance
EXCEPTIONAL OBJECT
EXCEPTIONAL OBJECT
EXCEPTIONAL OBJECT
EXCEPTIONAL OBJECT
EXCEPTIONAL OBJECT
EXCEPTIONAL OBJECT
EXCEPTIONAL OBJECT
EXCEPTIONAL OBJECT
EXCEPTIONAL OBJECT
travel, tourism, insurance