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Lines with constant perpendicular distance between them
In elliptic geometry, two lines are Clifford parallel or paratactic lines if the perpendicular distance between them is constant from point to point.
Clifford_parallel
Four-dimensional analog of the icosahedron
one of 15 Clifford parallel isoclines.[citation needed] The 30 Clifford parallel squares in each bundle are joined by four Clifford parallel 24-gram isoclines
600-cell
Four-dimensional analog of the dodecahedron
plane to a congruent great polygon in a Clifford parallel central plane that is 12° away. Adjacent Clifford parallel great polygons (of every kind) are completely
120-cell
Relation used in geometry
parallelism is used in the affine plane. Clifford parallel Collinearity Concurrent lines Limiting parallel Parallel curve Ultraparallel theorem Harris, John
Parallel_(geometry)
Four-dimensional analog of the octahedron
center). They are an example of Clifford parallels, and the 16-cell is the simplest regular polytope in which they occur. Clifford parallelism of objects of
16-cell
Regular object in four dimensional geometry
triangle) to a Clifford parallel great circle polygon of the same kind 120 degrees away. An isoclinic rotation is also called a Clifford displacement,
24-cell
British mathematician and philosopher (1845–1879)
Equidistant curves in elliptic space are now said to be Clifford parallels. Clifford's contemporaries considered him acute and original, witty and warm
William_Kingdon_Clifford
Geometrical object in four-dimensional space
along the surface. Duocylinder Hopf fibration Clifford parallel and Clifford surface William Kingdon Clifford Norbs, P. (September 2005), "The 12th problem"
Clifford_torus
construction of ‘Clifford parallels’. Let V be a (real or complex) vector space together with a symmetric bilinear form <·,·>. The Clifford algebra Cℓ(V)
Clifford_bundle
Algebra based on a vector space with a quadratic form
In mathematics, a Clifford algebra is an algebra generated by a vector space with a quadratic form, and is a unital associative algebra with the additional
Clifford_algebra
Generalization of perpendicularity
A {\displaystyle A} and B {\displaystyle B} are perpendicular and Clifford parallel. In 4 dimensional space we can construct 4 pairwise perpendicular
Orthogonality_(mathematics)
American voice actor
Clifford Samuel Chapin IV (born January 29, 1988) is an American voice actor and voice director. Chapin is known for his roles in anime and video games
Clifford_Chapin
American inventor and author (b. 1957)
Clifford Alan Pickover (born August 15, 1957) is an American author, editor, and columnist in the fields of science, mathematics, science fiction, innovation
Clifford_A._Pickover
American public official (1906–1998)
Clark McAdams Clifford (December 25, 1906 – October 10, 1998) was an American lawyer who served as an important political adviser to Democratic presidents
Clark_Clifford
of invariant lines", the Clifford parallels. They formed "a particular structure embedded in elliptic 3-space", the Clifford surface, which demonstrated
Clifford–Klein_form
Non-Euclidean geometry
antipodal points. Elliptic space has special structures called Clifford parallels and Clifford surfaces. The versor points of elliptic space are mapped by
Elliptic_geometry
Homotopy invariant of maps between n-spheres
invariant of certain maps between n-spheres. In 1931 Heinz Hopf used Clifford parallels to construct the Hopf map η : S 3 → S 2 , {\displaystyle \eta \colon
Hopf_invariant
Similar evolution in distinct species
Harvard University Press Schluter, D., E. A. Clifford, M. Nemethy, and J. S. McKinnon. 2004. Parallel evolution and inheritance of quantitative traits
Parallel_evolution
Quaternion of norm 1 (unit quaternion)
)\ :\ 0\leq a<\pi \ \}~.} Parallelism in the space is expressed by Clifford parallels. One of the methods of viewing elliptic space uses the Cayley transform
Versor
Linear stacking of regular tetrahedra that form helices
5.3.3.5: The Art Tower Mito is based on a Boerdijk–Coxeter helix. Clifford parallel cell rings Toroidal polyhedron Line group#Helical symmetry Skew apeirogon#Helical
Boerdijk–Coxeter_helix
American politician and academic
Switches for Routing Messages in Parallel Computers" and his PhD with a thesis on "Virtual Memory for Data-Parallel Computing" in February 1993. From
Thomas_H._Cormen
Parallel scripting language
computing Parallel computing "Swift Home Page". swift-lang.org. Retrieved 2014-06-02. Wilde, Michael; Hategan, Mihael; Wozniak, Justin M.; Clifford, Ben;
Swift (parallel scripting language)
Swift_(parallel_scripting_language)
Special orthogonal group
angle. Such rotations are called isoclinic or equiangular rotations, or Clifford displacements. Beware: not all planes through O are invariant under isoclinic
Rotations in 4-dimensional Euclidean space
Rotations_in_4-dimensional_Euclidean_space
Sequence in computer science
studied in parallel algorithms, both as a test problem to be solved and as a useful primitive to be used as a subroutine in other parallel algorithms
Prefix_sum
The American science fiction writer Clifford D. Simak (August 3, 1904 – April 25, 1988) won three Hugo Awards and one Nebula Award. The Science Fiction
Clifford D. Simak bibliography
Clifford_D._Simak_bibliography
Subfield of computer science
science, analysis of parallel algorithms is the process of finding the computational complexity of algorithms executed in parallel – the amount of time
Analysis of parallel algorithms
Analysis_of_parallel_algorithms
Node ordering for directed acyclic graphs
S2CID 16728233 Cormen, Thomas H.; Leiserson, Charles E.; Rivest, Ronald L.; Stein, Clifford (2001), "Section 22.4: Topological sort", Introduction to Algorithms (2nd ed
Topological_sorting
American computer scientist and software engineer
Clifford Noel "Cliff" Click Jr. is an American computer scientist and software engineer known for his work on compiler design and Java virtual machine
Cliff_Click
Mythological combat motif
Biblical Themes Creation, Chaos and Monotheism. De Gruyter. pp. 203–252. Clifford, Richard J. (April 2007). "Book Review: Creation and Destruction: A Reappraisal
Chaoskampf
editor until his own bad health caused him to resign in 1883. In parallel, Clifford had made a position as a legal writer. He was admitted to the Middle
Frederick_Clifford
Nightwatch Nattevagten Ole Bornedal Ole Bornedal Park City at Midnight Parallel Sons John G. Young Dramatic Competition Party Girl Daisy von Scherler Mayer
List of Sundance Film Festival selections
List_of_Sundance_Film_Festival_selections
Episodes of the American sitcom
George's yard. Ned shows the men a routine he expects them to do on the parallel bars. Dennis sells tickets to a bunch of neighborhood boys to watch Henry
List of Dennis the Menace (1959 TV series) episodes
List_of_Dennis_the_Menace_(1959_TV_series)_episodes
Country primarily in North America
nps. National Park Service. Retrieved May 8, 2015. Lipton, Eric; Krauss, Clifford (August 23, 2012). "Giving Reins to the States Over Drilling". The New
United_States
Divide and conquer sorting algorithm
parallel until the base case of the recursion is reached. The following pseudocode shows the modified parallel merge sort method using the parallel merge
Merge_sort
an old cinema in Fulham by Nigel Wright, the jeans retailer started the parallel importing business in the UK. The business expanded to have shops in Camberwell
List of clothing and footwear shops in the United Kingdom
List_of_clothing_and_footwear_shops_in_the_United_Kingdom
Book on computer programming, used as textbook for algorithms courses
programming by Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, and Clifford Stein. The book is described by its publisher as "the leading algorithms
Introduction_to_Algorithms
Hexahedron with parallelogram faces
meaning a body "having parallel planes". Parallelepipeds are a subclass of the prismatoids. Any of the three pairs of parallel faces can be viewed as
Parallelepiped
Role of the Byzantine Empire in the Crusades
University Press. pp. 583–626, 731–758. ISBN 978-0-521-83231-1. Backman, Clifford R. (2022) [2009]. The Worlds of Medieval Europe (Fourth ed.). Oxford University
Byzantium in the Crusading movement
Byzantium_in_the_Crusading_movement
England (b. c.1015) 1151 – Walter of Oxford, archdeacon 1176 – Rosamund Clifford, royal mistress 1222 – 17 April: Robert of Reading (Haggai), convert to
Timeline_of_Oxford
American-Canadian actress and singer (born 1969)
for her roles in Inspector Gadget, Batman Beyond, Horrible Histories, Clifford the Big Red Dog, Codename: Kids Next Door, Atlantis: The Lost Empire, Danny
Cree_Summer
British boxer (1902–1974)
assisted members of the Unity Theatre, Manchester in their production of Clifford Odets' Golden Boy (1937). Johnson's encounters with racism and his observation
Len_Johnson_(boxer)
Way of setting up and executing parallel computer programs
In parallel computing, the fork–join model is a way of setting up and executing parallel programs, such that execution branches off in parallel at designated
Fork–join_model
histories as "the Wise Men", included Dean Acheson, McGeorge Bundy, Clark Clifford, Henry Cabot Lodge Jr. and Maxwell Taylor, who urged the President to continue
1967_in_the_Vietnam_War
Form of implicit data structure
In computing, a group of parallel arrays (also known as structure of arrays or SoA) is a form of implicit data structure that uses multiple arrays to represent
Parallel_array
Attribution of human traits to AI
1038/s41598-022-27124-8. ISSN 2045-2322. PMC 9797498. PMID 36577918. Nass, Clifford; Brave, Scott (2007-02-23). Wired for Speech: How Voice Activates and Advances
AI_anthropomorphism
American scholar and professor
Clifford H. Singer is an American Post War & Contemporary artist who was born in Great Neck, New York on May 19, 1955. Clifford Singer is an American
Clifford_Singer
Department of Education. "Mathematics Equals Opportunity" (PDF). Pickover, Clifford A. (2009). The Math Book: From Pythagoras to the 57th Dimension, 250 Milestones
Mathematics education in the United States
Mathematics_education_in_the_United_States
Self-balancing binary search tree data structure
libavl Cormen, Thomas H.; Leiserson, Charles E.; Rivest, Ronald L.; Stein, Clifford (2001). "Red–Black Trees". Introduction to Algorithms (2nd ed.). MIT Press
Red–black_tree
information about the history of the Soviet space program. William Kingdon Clifford FRS (1845–1879): English mathematician and philosopher, co-introducer of
List of atheists in science and technology
List_of_atheists_in_science_and_technology
American military officer & aviation pioneer (1891-1945)
Tennessee, and was rushing to win the prize before other candidates including Clifford B. Harmon and Charles K. Hamilton could make attempts. (Roseberry 1991
Edgar_S._Gorrell
Mathematical model of the physical space
propositions (theorems) from these. One of those is the parallel postulate which relates to parallel lines on a Euclidean plane. Although many of Euclid's
Euclidean_geometry
Minimum spanning forest algorithm that greedily adds edges
and hard to parallelize. It is, however, possible to perform the initial sorting of the edges in parallel or, alternatively, to use a parallel implementation
Kruskal's_algorithm
American artist (born 1952)
Clifford Ross (born October 15, 1952) is an American artist who has worked in multiple forms of media, including sculpture, painting, photography and video
Clifford_Ross
Bristol, England: Policy Press. p. 236. ISBN 9781447341161. Williams, Clifford (2021). Courage to Be: Organised Gay Youth in England 1967 - 1990: A history
Male sex work in popular culture
Male_sex_work_in_popular_culture
exchange for admitting Maine as a free state and banning slavery above the parallel 36°30′ north. Monroe supported sending freed slaves to the new country
List of members of the United States Congress who owned slaves
List_of_members_of_the_United_States_Congress_who_owned_slaves
Religious site in Jerusalem
following the Night Journey". Historic Cities of the Islamic World, edited by Clifford Edmund Bosworth, p. 226. Silverman, Jonathan (6 May 2005). "The opposite
Temple_Mount
Tunnel between New Jersey and New York
New Jersey. It consists of a pair of parallel tubes underneath the Hudson River. The tunnel was designed by Clifford Milburn Holland, the project's chief
Holland_Tunnel
American actress (born 1951)
(2006–2011). Wettig was born in Milford, Ohio, to Florence (née Morlock) and Clifford Neal Wettig, a high school basketball coach. She has three sisters: Pam
Patricia_Wettig
Buddhism in Tibet and the Educational Role of the Monasteries". In Bosworth, Clifford Edmund; Asimov, Muhammad Seyfeydinovich (eds.). History of civilizations
History_of_religion_in_China
Canadian cult leader and murderer (1947–2011)
Dorchester Penitentiary in 2011. Thériault, along with Robert Pickton, Clifford Olson and Paul Bernardo, has been considered one of Canada's most notorious
Roch_Thériault
Method of fastening or securing linear material
skeins, balls, etc. Ashley, Clifford W. (1944), The Ashley Book of Knots, New York: Doubleday, p. 12 Ashley, Clifford W. (1944), The Ashley Book of
Knot
Jasper Ridley, Lord Palmerston (1970), p. 552. Thomas Paterson; J. Garry Clifford; Shane J. Maddock (2009). American Foreign Relations: A History to 1920
Diplomacy of the American Civil War
Diplomacy_of_the_American_Civil_War
American painter, poet, mixed media artist
Kathy Kosht Clifford (1948 – 1993) was a painter, poet and mixed media sculptor, known for her expressionist style coming out of the Cass Corridor art
Kathy_Clifford
revue Nat D. Ayer Clifford Grey George Grossmith, Jr. and Fred Thompson The Bing Boys on Broadway 1918 West End revue Nat D. Ayer Clifford Grey George Grossmith
List_of_musicals:_A_to_L
S. Wigg, co-pilot; Maj. William C. McLaughlin, bombardier; and S/Sgt. Clifford J. Gallipo, M/Sgt. Alton Howard, M/Sgt. William J. Almand, T/Sgt. Samuel
List of accidents and incidents involving military aircraft (1950–1954)
List_of_accidents_and_incidents_involving_military_aircraft_(1950–1954)
Institution. n.d. Retrieved 23 September 2024. Stephen Brown, Pierre McDonagh, Clifford J. Shultz: Titanic: consuming the myths and meanings of an ambiguous brand
Iceberg_that_sank_the_Titanic
Benny Golson, 95, American jazz saxophonist and composer ("I Remember Clifford", "Stablemates", "Whisper Not"). Bernard Gross, 89, American politician
Deaths_in_September_2024
Two geometries based on axioms closely related to those specifying Euclidean geometry
William Kingdon Clifford. This is a quote from G. B. Halsted's translator's preface to his 1914 translation of The Theory of Parallels: "What Vesalius
Non-Euclidean_geometry
mathematics, Volume 2, Gale Group, p. 391, ISBN 9780787650650. Pickover, Clifford A. (2003), The Zen of Magic Squares, Circles, and Stars: An Exhibition
Broken_space_diagonal
2026 award ceremony for music
(S) "Grand Bouquet" (Maren Morris) (T) "Leave Me Too" (Josh Ross) (S) "Parallel Universe" (Lauren Spencer Smith) (T) "Someone In This Room" (Jessie Murph
68th_Annual_Grammy_Awards
Beyond: Business Felled by Crime, Scandal". ABC News. Retrieved 2025-06-10. Clifford, Stephanie (2009-04-16). "Video Prank at Domino's Taints Brand". The New
List of notable YouTube videos
List_of_notable_YouTube_videos
Problem of grouping into triples
doi:10.1016/j.tcs.2005.11.029. ISSN 0304-3975. Hanguir, Oussama; Stein, Clifford (2020-09-21). "Distributed Algorithms for Matching in Hypergraphs". arXiv:2009
3-dimensional_matching
2007 mortgage crisis in the United States
from the original on July 28, 2010. Retrieved October 3, 2010. Catherine Clifford (November 13, 2008). "CNN Foreclosures". CNN Money. Archived from the original
Subprime_mortgage_crisis
Predominantly Scottish cloth pattern
of Far Eastern Antiquities. 75. Stockholm: Fälth & Hässler: 13. Coonan, Clifford (28 August 2006). "A meeting of civilisations: The mystery of China's Celtic
Tartan
August 2025, a 28-year-old transgender woman from California, Veronica Clifford-Carlos, challenged the Dutch government's rejection of her asylum claim
Persecution of transgender people under the second Trump administration
Persecution_of_transgender_people_under_the_second_Trump_administration
Disproved conjecture in network flow theory
Goemans' conjecture and the stronger Morell–Skutella conjecture for series–parallel graphs, the first non-trivial graph class for which either was confirmed
Dinitz–Garg–Goemans conjecture
Dinitz–Garg–Goemans_conjecture
ISBN 978-0-521-59984-9. Goitein, S.D.; Grabar, O. (2007). "Jerusalem". In Bosworth, Clifford Edmund (ed.). Historic Cities of the Islamic World. Brill. pp. 224–255
History_of_Palestine
Army formation
this tactic was generally unsuccessful for the Welsh. Perhaps the closest parallel is with the armies of medieval Flanders. Here too can be seen the deep
Schiltron
2015. Ayali-Darshan 2020. Weeks 2006, p. 287–288. Weeks 2006, p. 288–291. Clifford 1989, p. 86. Wyatt 2022c, p. 319–320, n. 24. Irby 2021, p. 13–15. Rochberg
Ancient Near Eastern cosmology
Ancient_Near_Eastern_cosmology
Upwards: How We Took to the Air. Knopf. ISBN 978-0-307-90870-4. Conner, Clifford D. (2000). Colonel Despard: The Life and Times of an Anglo-Irish Rebel
Timeline of London (19th century)
Timeline_of_London_(19th_century)
1908 – Clifford Whittingham Beers founded the "Connecticut Society for Mental Hygiene", now named Mental Health Connecticut. 1909 – Clifford Whittingham
Timeline of disability rights in the United States
Timeline_of_disability_rights_in_the_United_States
Acronym for "China, Russia, Iran, North Korea"
in the form of economic sanctions and military aid to Ukraine. In 2021, Clifford May described Russia, China and Iran as neo-imperialist powers who "seek
CRINK
scientists, London: Imperial College Press, pp. 73–83, ISBN 978-1-86094-288-4 Clifford E. Olstrom (2011). Undaunted By Blindness, 2nd Edition. eBookIt.com. ISBN 9780982272190
List_of_agnostics
2019 video game
his own: he is Clifford Unger's son, who Bridget Strand had transformed into one of the first BBs, accidentally killed alongside Clifford during a botched
Death_Stranding
Algorithm that combines multiple sorted lists into one
Clifford (2009) [1990]. Introduction to Algorithms (3rd ed.). MIT Press and McGraw-Hill. ISBN 0-262-03384-4. Victor J. Duvanenko (2011), "Parallel Merge"
Merge_algorithm
crash: Signal design flaw blamed". BBC. Retrieved 2011-08-14. Coonan, Clifford (2011-08-12). "Outrage at Wenzhou disaster pushes China to suspend bullet
High-speed_rail_in_China
Records of Earth's people
Rašīd-ad-Dīn; Nishapuri, Zahir al-Din; Nīšāpūrī, Ẓahīr-ad-Dīn (2001). Bosworth, Clifford Edmund (ed.). The History of the Seljuq Turks from the Jāmiʻ Al-tawārīkh:
Human_history
Taking financial risks in the hope of profit
from the original on 19 April 2021. Retrieved 29 December 2020. Catherine Clifford (3 September 2013). "Why everyone will have to become an entrepreneur"
Entrepreneurship
Dutch humanist (c. 1466–1536)
evangelical literature." We may distinguish four different lines of work, parallel with each other, and complementary. First, the establishing and critical
Erasmus
2025 studio album by Dave
Archived from the original on 27 September 2025. Retrieved 20 October 2025. Clifford, Elizabeth (15 May 2025). "Dave sparks excitement as new album rumours
The_Boy_Who_Played_the_Harp
2024 fantasy novel by Robert Jackson Bennett
threat, and adjusted its moral and legal schemes accordingly," and drew parallels with the manga Attack on Titan. Martin Cahill of Reactor praised Bennett's
The_Tainted_Cup
Non-verbal test
items, and is available in two parallel forms. Test takers are given 15 minutes to complete each form. Daniels, John Clifford (1949). Figure Reasoning Test
Figure_Reasoning_Test
of American women entrepreneurs: 1776 to the present (Greenwood, 2000) Clifford, Geraldine J. Those Good Gertrudes: A social history of women teachers
History of women in the United States
History_of_women_in_the_United_States
Abstract data type in computer science
(2016), "Just Join for Parallel Ordered Sets", Symposium on Parallel Algorithms and Architectures, Proc. of 28th ACM Symp. Parallel Algorithms and Architectures
Priority_queue
Ancient Mesopotamian dialogue
An Allusion to the Šamaš Hymn in the Dialogue of Pessimism. In R. J. Clifford (Ed.), Wisdom Literature in Mesopotamia and Israel. Society of Biblical
Dialogue_of_Pessimism
from the original on December 9, 2019. Retrieved March 23, 2020. Terry, Clifford (June 20, 1989). "A 'Terror' Kicks Off World's Worst Film Festival". Chicago
List of 20th-century films considered the worst
List_of_20th-century_films_considered_the_worst
arrogant, making him largely unpopular with his peers. Voiced by (English): Clifford Chapin Voiced by (Japanese): Takayuki Nakatsukasa Ken Dingling (木下 大作,
List of Ace Attorney characters
List_of_Ace_Attorney_characters
Abstract data type in computer science
model, the graph representations used for parallel processing are the same as in the sequential case, since parallel read-only access to the graph representation
Graph_(abstract_data_type)
with Mikadono Sisters Is a Breeze DearS The Death Mage Death March to the Parallel World Rhapsody Demon King Daimao The Demon Sword Master of Excalibur Academy
List_of_harem_anime_and_manga
Taiwan-published books entirely from library shelves. These developments parallel earlier actions in 2023, where the Hong Kong Government and the Liaison
Book_censorship_in_Hong_Kong
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