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The Patterson function is used to solve the phase problem in X-ray crystallography. It was introduced in 1935 by Arthur Lindo Patterson while he was a
Patterson_function
British crystallographer (1902–1966)
would give the same Patterson function and therefore the same intensities in reciprocal space. "Obituary: Arthur Lindo Patterson; Crystal-Structure Analyst"
Arthur_Lindo_Patterson
Topics referred to by the same term
Patterson may refer to: Patterson (surname) Patterson family Patterson railway station Pattersons Corners, Ontario Patterson Township, Ontario Patterson
Patterson
Correlation of a signal with a time-shifted copy of itself, as a function of shift
determine tempo. Autocorrelation in space rather than time, via the Patterson function, is used by X-ray diffractionists to help recover the "Fourier phase
Autocorrelation
United States Air Force base near Dayton, Ohio, United States
(renamed Patterson Field in 1931); Fairfield Aviation General Supply Depot; armorers' school, and a temporary storage depot. McCook's functions were transferred
Wright-Patterson Air Force Base
Wright-Patterson_Air_Force_Base
British X-ray crystallographer (1920–1958)
and Raymond Gosling.] Throughout 1952, they worked at applying the Patterson function to the X-ray pictures of DNA they had produced. This was a long and
Rosalind_Franklin
Private women's college in Pennsylvania, US
chemists Arthur C. Cope and Louis Fieser, Arthur Lindo Patterson of the Patterson function, Edmund Beecher Wilson, Geraldine Richmond, philologists
Bryn_Mawr_College
Ordered arrangement of atoms, ions, or molecules in a crystalline material
with properties of both conventional liquids and crystals Patterson function – a function used to solve the phase problem in X-ray crystallography Periodic
Crystal_structure
Molecule that carries genetic information
of sodium thymonucleate fibres. II. The cylindrically symmetrical Patterson function" (PDF). Acta Crystallogr. 6 (8–9): 678–85. Bibcode:1953AcCry...6.
DNA
American writer (1865–1942)
Bramlette Patterson | NCpedia". www.ncpedia.org. Retrieved September 4, 2018. "Patterson and pattersons; fifty years of the patterson function". International
Lucy_Bramlette_Patterson
English physicist and biologist (1916–2004)
of Sodium Thymonucleate Fibres II. The Cylindrically Symmetrical Patterson Function Maddox, p. 205 Schwartz, James (2008) In Pursuit of the Gene. From
Francis_Crick
3D conformation of a biological sequence, like DNA, RNA, proteins
X-ray diffraction patterns—and also B-DNA—used analyses based on Patterson function transforms that provided only a limited amount of structural information
Biomolecular_structure
Issue in determining wave cycle part
this method. The other is the Patterson method, which directly determines the positions of heavy atoms. The Patterson function gives a large value in a position
Phase_problem
Chemical compound
tetrachlorozincate. A crystal structure with serious overlap in the Patterson function". Acta Crystallographica Section B. 32 (6): 1692–1696. Bibcode:1976AcCrB
Tetrachlorozincate
Type of crystal structures
structures (bottom) with different orientations. Patterson function Arthur Lindo Patterson Patterson, A.L. (1939). "Homometric Structures". Nature. 143
Homometric_structures
American boxing trainer (1908–1985)
promoter and boxing trainer who handled the careers of Mike Tyson, Floyd Patterson, and José Torres, all of whom went on to be inducted into the International
Cus_D'Amato
Mathematical description in crystallography
is the single-chain structure factor. R-factor (crystallography) Patterson function Ornstein–Zernike equation Warren, B. E. (1969). X-ray Diffraction
Structure_factor
Halide-sulfide mineral
diffractions Mason and others (1992) were able to use a 3-dimensional Patterson function to calculate the location for the Hg atom in the structure. The positions
Capgaronnite
Operation on mathematical functions
two functions, f {\displaystyle f} and g {\displaystyle g} , and returns a new function f ∘ g {\displaystyle f\circ g} . When the composite function f ∘
Function_composition
British mathematician
Joseph Patterson.[citation needed] Subjects that Patterson deals with include discontinuous groups (Fuchsian groups), different zeta functions (for example
Samuel_James_Patterson
(1938–1980) John Oxtoby, Mathematics (1939–1979) Arthur Lindo Patterson, founder of the Patterson function used in X-ray crystallography (1936–1949) Brunilde Sismondo
List of Bryn Mawr College people
List_of_Bryn_Mawr_College_people
Tectosilicate mineral
were established with the use of trial and error and the help of the Patterson function, which maps out the atoms in the lattice to check the developed models
Bicchulite
of Sodium Thymonucleate Fibres II. The Cylindrically Symmetrical Patterson Function". Acta Crystallogr. 6 (8): 678. Bibcode:1953AcCry...6..678F. doi:10
Molecular_models_of_DNA
a computer program for structure determination through using the Patterson function and direct methods applied to difference structure factors. It was
Direct methods (electron microscopy)
Direct_methods_(electron_microscopy)
Component of crystallography
accuracy of crystal structures". Nature. 355 (6359): 472–475. Bibcode:1992Natur.355..472B. doi:10.1038/355472a0. PMID 18481394. Patterson function v t e
R-factor_(crystallography)
Cancer treatment and research institution in the US
cancer biologist at Wistar Institute Arthur Lindo Patterson, who developed the Patterson function, a key step in determining the structures of molecules
Fox_Chase_Cancer_Center
Conjecture on zeros of the zeta function
1007/s002220050191, S2CID 122314044 Patterson, S. J. (1988), An introduction to the theory of the Riemann zeta-function, Cambridge Studies in Advanced Mathematics
Riemann_hypothesis
steps: rotation and translation. In the rotation function, our unknown Patterson map is compared to Patterson maps derived from our known homologue structure
Molecular_replacement
PMID 26383950. Calvo-Almazán, Irene; Fenter, Paul (2021-07-01). "The Patterson function as auto-hologram and graph enables the direct solution to the phase
Paul_Fenter
chloride crystals using electron diffraction. 1934 - Arthur Patterson introduced the Patterson function which uses diffraction intensities to determine the interatomic
Timeline_of_crystallography
Function modeling methodology for describing manufacturing functions
Function Modeling; where ICAM is Integrated Computer-Aided Manufacturing) is a function modeling methodology for describing manufacturing functions,
IDEF0
Method to determine atomic positions in solids using an electron microscope
crystallography could be used. Another was the demonstration in 1986 that a Patterson function could be powerful in the seminal solution of the silicon (111) 7x7
Electron_crystallography
American crystallographer (1903–1986)
Buerger MJ (December 1950). "Limitation of Electron Density by the Patterson Function". Proceedings of the National Academy of Sciences of the United States
Martin_Julian_Buerger
Campanile in North Carolina, United States
The Morehead-Patterson Bell Tower is a functioning bell tower located on the campus of The University of North Carolina at Chapel Hill (UNC). It is a
Morehead-Patterson_Bell_Tower
Result of repeatedly applying a mathematical function
In mathematics, an iterated function is a function that is obtained by composing another function with itself two or several times. The process of repeatedly
Iterated_function
American historian (born 1948)
Holocaust Studies. Patterson is author of a study of Holocaust memoir literature and said that reading of first person testimonials has a function, the reader
David_Patterson_(historian)
Neuroscientist (1943–2014)
Institute of Technology. Paul Patterson was born in Chicago, Illinois, to Paul and Marge Patterson. His uncle, Clair Patterson, was a scientist who influenced
Paul Patterson (neuroscientist)
Paul_Patterson_(neuroscientist)
writer Thomas Fiske United States 1865 10 January 1944 Mathematician Functions of a complex variable Moshe Ze'ev Flinker Netherlands 9 October 1926 1944
2015_in_public_domain
American political hostess (1828–1901)
social functions, so Patterson took over hostess responsibilities. Eliza made only two public appearances during her tenure as First Lady. Patterson was
Martha_Johnson_Patterson
Equal-area pseudocylindrical global map projection
global map projection invented by Bojan Šavrič, Bernhard Jenny, and Tom Patterson in 2018. It is inspired by the widely used Robinson projection, but unlike
Equal_Earth_projection
Gillikin Country. Princess Ozma In Ozma of Oz, she is called "princess", but functions closer to being Queen of Oz. Peg Amy Trot's doll, who, in Kabumpo in Oz
List_of_fictional_princesses
Subarea of scattering in physics
of Sodium Thymonucleate Fibres. II. The Cylindrically Symmetrical Patterson Function". Acta Crystallogr., 6, 678–685 Fraser RDB, Macrae TP, Miller A, Rowlands
Fiber_diffraction
Physical components of a computer
& Patterson 2011, p. 22. Hennessy & Patterson 2011, p. 26. Hennessy & Patterson 2011, p. 25. Hennessy & Patterson 2011, p. 21. Hennessy & Patterson 2011
Computer_hardware
Class of coordination compounds containing nitrile ligands (coordinating via N)
Tetrachlorozincate. A Crystal Structure with Serious Overlap in the Patterson Function". Acta Crystallographica Section B. 32 (6): 1692–1696. Bibcode:1976AcCrB
Transition metal nitrile complexes
Transition_metal_nitrile_complexes
George Stiles Anthony Drewe Ron Cowen and Daniel Lipman Based on A Private Function by Alan Bennett and Malcolm Mowbray. Between the Devil 1937 Broadway Arthur
List_of_musicals:_A_to_L
to sell it as insecticide. Note: First appearance of Fred Ziffel (Hank Patterson) Smiley Burnette and Rufe Davis do not appear in this episode. 7 7 "The
List of Petticoat Junction episodes
List_of_Petticoat_Junction_episodes
Impede or Disrupt the orderly Conduct of Government Business or Official Functions; Disorderly Conduct in a Capitol Building; Parading ... in a Capitol Building
List of cases of the January 6 United States Capitol attack (M-S)
List_of_cases_of_the_January_6_United_States_Capitol_attack_(M-S)
get involved. She's not really sure who was at fault. A man named Greg Patterson asks her to be a witness for him and because he's handsome, she says yes
List of Father Knows Best episodes
List_of_Father_Knows_Best_episodes
American biochemist and biophysicist (1920–2019)
Molecular Structure: Trial-and-Error Studies Using Transform and Patterson Function Techniques". Proceedings of the National Academy of Sciences of the
Barbara_Low_(biochemist)
Baron Blackett Patrick N. Keating Patrick Tabeling Patrick d'Arcy Patterson function Paul-Quentin Desains Paul A. Fleury Paul Alfred Biefeld Paul Auguste
Index_of_physics_articles_(P)
In coding theory, the Sardinas–Patterson algorithm is a classical algorithm for determining in polynomial time whether a given variable-length code is
Sardinas–Patterson_algorithm
American reality television series episodes
Wild West Show; a phone booth from the 1950s or 1960s whose phone still functions; three vintage railroad lamps; and an unsigned copy of Ronald Reagan's
List_of_Pawn_Stars_episodes
Mathematical function common in physics
LCCN 2014010276. Lindsey, C. P. & Patterson, G. D. (1980). "Detailed comparison of the Williams-Watts and Cole-Davidson functions". Journal of Chemical Physics
Stretched exponential function
Stretched_exponential_function
ISSN 0307-1235. Retrieved 2024-06-24. Rourke, Mary (2005-02-14). "John Patterson, 64; Director Noted for Work on 'Sopranos'". Los Angeles Times. Retrieved
List of people with prostate cancer
List_of_people_with_prostate_cancer
help C.D. keep an eye on the rich CEOs that would be attending a social function at the club. However behind the scenes, C.D.'s second in command, Paul
List of Walker, Texas Ranger episodes
List_of_Walker,_Texas_Ranger_episodes
American educator and eugenicist (1868–1941)
Ellwood Patterson Cubberley (June 6, 1868 – September 14, 1941) was an American educator, a eugenicist, and a pioneer in the field of education management
Ellwood_Patterson_Cubberley
2019 American science fiction film by Andrew Patterson
science fiction mystery film directed by Andrew Patterson. It was co-produced and written by Patterson (under the pseudonym James Montague) and Craig W
The_Vast_of_Night
from the original on March 2, 2021. Retrieved January 13, 2021. Boykin-Patterson, Eboni (November 4, 2025). "MTG Stuns The View by Refusing to Be Her 'Nasty'
Political positions of Marjorie Taylor Greene
Political_positions_of_Marjorie_Taylor_Greene
Linear filter
Efficient Implementation of the Patterson–Holdsworth Auditory Filter Bank" (PDF). Apple Computer Technical Report #35. R. D. Patterson, I. Nimmo-Smith, J. Holdsworth
Gammatone_filter
Australian physiologist, biochemist, gerontologist, and animal nutritionist
Director, to be rejected in favour of the successful candidate, Sydney W. Patterson M.B. B.S., M.D., D.Sc., who had studied in the UK at University College
Thorburn_Brailsford_Robertson
Jamaican-born visual artist and educator (born 1981)
Ebony Grace Patterson (born 1981, Kingston, Jamaica) is a Jamaican-born visual artist and educator. She is known for her large and colorful tapestries
Ebony_Patterson
Mathematical Theory
who exhibited the zeta function as the Mellin transform of Jacobi's theta function. Riemann used asymptotics of the theta function to obtain the analytic
Rankin–Selberg_method
Theory in communications
share similar outlooks to EVT – discrepancy-arousal theory (DAT) and Patterson's social facilitation model (SFM). Like EVT, DAT explains that a receiver
Expectancy_violations_theory
Concept in computer security
programming Speedrun Stack buffer overflow Bratus, Sergey; Locasto, Michael E.; Patterson, Meredith L.; Sassaman, Len; Shubina, Anna (December 2011). "Exploit Programming
Weird_machine
How plastic particles affect human health
chemosphere.2022.135227. ISSN 0045-6535. PMID 35671817. Esmeralda, V. Glen; Patterson, Jamila; Shelciya, S. (2025-04-03). "Preliminary study on the ejection
Microplastics and human health
Microplastics_and_human_health
Credited as 20th Television since in 1989, 20th Century Fox Television's functions were taken over by Twentieth Television Corporation. The Chevy Chase Show
List of 20th Television programs
List_of_20th_Television_programs
British royal recognitions
Manager, Prime Minister’s Office. For Public Service. Professor Hugh Henry Patterson, Professor Emeritus of Politics, Ulster University. For services to Education
2025_New_Year_Honours
was aired. Featured interviewees include: Richard P. Hallion of Wright-Patterson Air Force Base; Peter Varnish of the Admiralty Research Establishment
List_of_Equinox_episodes
Automation's pitch failed due to the dragons citing products doing the same functions were already on the market and were overall dismayed by Vasilev's explanation
List of Dragons' Den (British TV programme) offers Series 11-20
List_of_Dragons'_Den_(British_TV_programme)_offers_Series_11-20
Wetland in Indiana and Illinois, United States
Research Center, Purdue University. West Lafayette, Indiana, June 7, 2023. Patterson, Tamatha A. Wetland Restoration as a Climate Change Mitigation Strategy
Grand_Kankakee_Marsh
& Diane Ladd, Miranda Lambert, LIVE's Spring Has Sprung Week - Steve Patterson Explores New York in Spring April 26 Kelly Ripa & Mark Consuelos Amanda
List of Live with Kelly and Mark episodes
List_of_Live_with_Kelly_and_Mark_episodes
White N/A November 26, 1964 (1964-11-26) A woman has kept a small mine functioning based on diamonds she found herself. When her dead husband's ex-partner
List_of_Perry_Mason_episodes
the most brilliant Soviet physicist of the twentieth century. James D. Patterson; Bernard C. Bailey (20 February 2019). Solid-State Physics: Introduction
List of atheists in science and technology
List_of_atheists_in_science_and_technology
Marianne Wellesley, Marchioness Wellesley (née Marianne Caton, previously Patterson, elder sister of Louisa Caton) on 29 October 1825 Catherine Murat, Princess
List_of_American_heiresses
Swiss technology company
Security". Proton Mail Security. 31 January 2016. Retrieved 31 January 2016. Patterson, Dan (13 November 2015). "Exclusive: Inside the ProtonMail siege: how
Proton_AG
Video game character
character protagonist, a young male student. The academic Christopher Patterson identifies Sayori as a genki (a term in anime to describe a playful and
Sayori (Doki Doki Literature Club!)
Sayori_(Doki_Doki_Literature_Club!)
First printed editions of a manuscript
Tradition". In Scheck, Thomas P. (ed.). Erasmus's Life of Origen. pp. 94–95. Patterson, Annabel M. (2022) [1988]. Pastoral and Ideology: Virgil to Valéry. Berkeley
List of editiones principes in Latin
List_of_editiones_principes_in_Latin
2024 American television miniseries
"Stars in the Sky". Stockard Channing as Wendy Whipple, Wade's mother. Edi Patterson as Wanda Whipple, an FBI agent and Wade's immature sister who constantly
Knuckles_(TV_series)
Dishes prepared in-universe
Explaining The Bear Season 2". GQ. ISSN 0016-6979. Retrieved 2025-10-04. Patterson, Daniel (July 28, 2022). "When I Watch The Bear, I See My Life". Esquire
Food_of_The_Bear
2011 video game
Game Trade Reviewers. 2011. Archived from the original on 2022-06-06. Patterson, Eric L. (2012-03-08). "GDC 2012: Game Developers Choice Awards - The
El Shaddai: Ascension of the Metatron
El_Shaddai:_Ascension_of_the_Metatron
2012 video game
praising her for breaking away from the physical superhero norms. Mollie L. Patterson Electronic Gaming Monthly praised Kat as a protagonist, while Christian
Gravity_Rush
Canadian homebuilt light aircraft manufacturer
split off their sales functions to a new company, Patterson AeroSales, headed by former Murphy sales representative Bob Patterson. Murphy Aircraft continues
Murphy_Aircraft
Fictional character
The Ghost and Molly McGee and starring CoryxKenshin. Writer Christopher Patterson noted how Yuri and Natsuki contrast each other. He described her as both
Yuri (Doki Doki Literature Club!)
Yuri_(Doki_Doki_Literature_Club!)
2007 film by Darren Lynn Bousman
fourth installment in the Saw film series, it stars Tobin Bell, Scott Patterson, Costas Mandylor, Betsy Russell, and Lyriq Bent. The film picks up where
Saw_IV
Estimation in statistical mathematics
to estimating components of variance in unbalanced data was by Desmond Patterson and Robin Thompson of the University of Edinburgh in 1971, although they
Restricted_maximum_likelihood
Ireland"": 45–53. {{cite journal}}: Cite journal requires |journal= (help) Patterson, Rachel A. "Women of Ireland: Change Toward Social and Political Equality
Timeline of women's legal rights (other than voting) in the 20th century
Timeline_of_women's_legal_rights_(other_than_voting)_in_the_20th_century
Part of the brain
E.; Wilkinson, W. E.; Parashos, La.; Soady, S.A.R.; Sullivan, R. J.; Patterson, L. J.; Figiel, G. S.; Webb, M. C.; Spritzer, C. E.; Djang, W. T. (March
Frontal_lobe
Fictional character
have discussed Monika's characterization and personality. Christopher B. Patterson, writing for American Literature, labelled Monika as a yandere, a term
Monika (Doki Doki Literature Club!)
Monika_(Doki_Doki_Literature_Club!)
Country in South Asia
253. Barrow 2003. Paturi, Joseph; Patterson, Roger (2016). "Hinduism (with Hare Krishna)". In Hodge, Bodie; Patterson, Roger (eds.). World Religions &
India
Therapeutic framework
Traumatology. 7 (1): 43–68. doi:10.1177/153476560100700104. ISSN 1085-9373. Patterson, Orlando; Zhuo, Xiaolin (2018). "Modern Trafficking, Slavery, and Other
Trauma-informed_care
Civic deliberation over public affairs issues
15 (4): 12–18. doi:10.1002/abc.20030. ISSN 1086-4822. S2CID 145349946. Patterson, Kendall (6 March 2019). "Lecture Examines 'Civil Discourse in an Uncivil
Civil_discourse
Rugby competition
(featuring the two Italian and two Scottish sides). The pools serve two functions; they guarantee a full slate of home-and-away derby matches for each team
2026–27 United Rugby Championship
2026–27_United_Rugby_Championship
paleoecologist Bruce C. Murray (1931–2013), planetary scientist Clair Cameron Patterson (1922–1995), geochemist, determined the age of the Earth; exposed lead
List of California Institute of Technology people
List_of_California_Institute_of_Technology_people
(7 April 2026). "Water storage funding to unlock regional growth, says Patterson". Farmers' Weekly. Archived from the original on 8 April 2026. Retrieved
2026_in_New_Zealand
US military unit
Headquarters Battalion, 1st Marine Division the following October. Bobby Joe Patterson, initially an avid diver attached to 1st Combat Service Group's S-3 shop
United States Marine Corps Amphibious Reconnaissance Battalion
United_States_Marine_Corps_Amphibious_Reconnaissance_Battalion
American multirole fighter aircraft
Scheduling (PDF). Air Force Institute of Technology (Report). Wright-Patterson Air Force Base: U.S. Air Force. Hunter, Jamie (8 February 2021). "Boeing's
Boeing_F-15EX_Eagle_II
2, 2003. Retrieved November 28, 2017. R. Timothy Hitchcock, Robert M. Patterson: Radio-Frequency and ELF Electromagnetic Energies: A Handbook for Health
History of radiation protection
History_of_radiation_protection
Theoretical framework that connects Blackness and social death
strands of Afro-pessimism. In a 2018 interview about the Kerner Report, Patterson had this to say about Afro-pessimism: We're going through a period of
Afro-pessimism (critical framework)
Afro-pessimism_(critical_framework)
American writer (1937–2023)
William Patrick Patterson (January 31, 1937 - July 7, 2023) was a spiritual teacher of the Fourth Way, an esoteric teaching of self-development brought
William_Patrick_Patterson
American media franchise
partially sanitized the production for Broadway audiences. The musical functioned as an ensemble comedy, while the subplots involving supporting characters
Grease_(franchise)
travel, tourism, insurance
PATTERSON FUNCTION
PATTERSON FUNCTION
PATTERSON FUNCTION
PATTERSON FUNCTION
PATTERSON FUNCTION
PATTERSON FUNCTION
PATTERSON FUNCTION
PATTERSON FUNCTION
PATTERSON FUNCTION
travel, tourism, insurance