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parameters for R and ηαk[θfα+1,...,θd] ⊆ k[θ1, θfα]. Stanley decomposition Hironaka decomposition Rees, D. (1956), "A basis theorem for polynomial modules",
Rees_decomposition
monomial and each Xα is a finite subset of the generators. Rees decomposition Hironaka decomposition Stanley, Richard P. (1982), "Linear Diophantine equations
Stanley_decomposition
Representation of an algebra as a free module
multiplication in K [ V ] G {\displaystyle K[V]^{G}} unambiguously. Rees decomposition Stanley decomposition Nagata, Masayoshi (1962), Local rings, Interscience Tracts
Hironaka_decomposition
nowadays known as Rees's theorem or Rees-Suschkewitsch theorem. The matrix-based semigroups used in this characterisation are called Rees matrix semigroups
David_Rees_(mathematician)
As REEs are held by chemical bonds, alkaline bake or acid leach is required to decompose and extract REEs. Chemical leaching is used to extract REEs in
Regolith-hosted rare earth element deposits
Regolith-hosted_rare_earth_element_deposits
decomposable A module is called decomposable if it can be written as a direct sum of two non-zero submodules. decomposition group A decomposition group
Glossary of commutative algebra
Glossary_of_commutative_algebra
British mathematician
Wylie and David Rees. He then continued his education for a year at Princeton University, with Norman Steenrod; all three of Wylie, Rees, and Steenrod are
Crispin_Nash-Williams
American serial killer
conviction for the killings, Rees confessed to two other murders, and authorities believed he was involved in two more. Rees was tried in three courts,
Melvin_Rees
2008 death of a toddler in Orlando, Florida, US
human decomposition in Casey's car when she visited them while Caylee was missing, but George said he did smell something similar to human decomposition when
Death_of_Caylee_Anthony
Chemical compound
The rate of decomposition increases with rise in temperature, concentration, and pH. H2O2 is unstable under alkaline conditions. Decomposition is catalysed
Hydrogen_peroxide
2003 mass murder in England
William Horncy were given whole life orders for the five murders. Peter Rees was convicted of one. The motive was financial as they planned to take over
Chohan_family_murders
Interference phenomenon of waves
parallel-rays approximation, which is identical to doing a plane wave decomposition of the plane fields across the open region (see Fourier optics). An
Diffraction
is called componential analysis, also known as semantic decomposition. Semantic decomposition allows any given lexical item to be defined based on minimal
Semantic_feature
Theory of gravitation as curved spacetime
associated with this, cf. Robson 1996 For a review, see Begelman, Blandford & Rees 1984. To a distant observer, some of these jets even appear to move faster
General_relativity
Set of vectors used to define coordinates
{\displaystyle X=AY.} The formula can be proven by considering the decomposition of the vector x on the two bases: one has x = ∑ i = 1 n x i v i , {\displaystyle
Basis_(linear_algebra)
Mathematical model for describing material deformation under stress
{F} } , like any invertible second-order tensor, can be decomposed, using the polar decomposition theorem, into a product of two second-order tensors (Truesdell
Finite_strain_theory
Genus of brown algae
for recovering rare earth elements (REEs). A 2025 study found that Sargassum filipendula efficiently adsorbs REEs across low to high concentrations, with
Sargassum
Extinct giant shark species
mineral-crust precipitate of manganese dioxide, and so had a lower decomposition rate and retained a white color during fossilization. Fossil megalodon
Megalodon
Chemical compound
17 (4): e05658. doi:10.2903/j.efsa.2019.5658. PMC 7009179. PMID 32626284. Rees WA, Yager TD, Korte J, Von Hippel PH (1993). "Betaine can eliminate the base
Trimethylglycine
Theory in physics and mathematics
wandering sets. The Hopf decomposition states that every measure space with a non-singular transformation can be decomposed into an invariant conservative
Conservative_system
Chemical compound
hydroxylamine-O-sulfonic acid, which should be stored at 0 °C to prevent decomposition, can be checked by iodometric titration. Analogous to sulfamic acid
Hydroxylamine-O-sulfonic_acid
French philosopher and sociologist (1847-1922)
Physiciens Modernes (Paris, 1907). La Décomposition du Marxisme (Paris, 1908); translation as The Decomposition of Marxism by Irving Louis Horowitz in
Georges_Sorel
2018 film by David Gordon Green
kill Michael and had arrested Michael after his killing spree in 1978 Rhian Rees as Dana Haines, a true-crime podcaster and Aaron's partner Jefferson Hall
Halloween_(2018_film)
1876 battle of the Great Sioux War
men stripped of their clothing, ritually mutilated, and in a state of decomposition, making identification of many impossible. The soldiers identified the
Battle_of_the_Little_Bighorn
Highly corrosive mineral acid
colorless, but samples tend to acquire a yellow cast over time due to decomposition into oxides of nitrogen. Most commercially available nitric acid has
Nitric_acid
2002 murder of English schoolgirl
confirmed through dental records as Dowler's. Due to the severity of the decomposition, the cause of death could not be ascertained. No items of Dowler's clothing
Murder_of_Milly_Dowler
Technique in mathematical group theory
identify all these and call it 'the' maximal torus T of G. By the Bruhat decomposition G = BWB, the subgroup B1 can be written as the conjugate of B by bw
Deligne–Lusztig_theory
Ancient Egyptian text
Lesevergnügen eines Mathematikers, Wissenschaftsverlag, Mannheim, 1993. 81–85. Rees, C. S. "Egyptian Fractions", Mathematical Chronicle 10, Auckland, (1981):
Egyptian Mathematical Leather Roll
Egyptian_Mathematical_Leather_Roll
Theorem in algebraic geometry
X , C ) {\displaystyle H^{*}(X,\mathbf {C} )} preserving the Hodge decomposition and the lattice H 1 ( X , Z ) {\displaystyle H^{1}(X,\mathbf {Z} )}
Hurwitz's automorphisms theorem
Hurwitz's_automorphisms_theorem
Chemical compound
(9): 507. doi:10.1002/anie.196305071. Pickett, Nl; Just, O; Vanderveer, Dg; Rees Ws, Jr (Apr 2000). "Reinvestigation of bis(trimethylsilyl)mercury". Acta
Bis(trimethylsilyl)mercury
American economist (born c. 1943)
States. The Oaxaca decomposition is used worldwide to sort out claims of discrimination in salaries and wages. The Oaxaca decomposition has been cited in
Ronald_Oaxaca
History and future of the universe
doi:10.1017/pasa.2014.33. S2CID 119237814. Madau, Piero; Haardt, Francesco; Rees, Martin J. (1 April 1999). "Radiative Transfer in a Clumpy Universe. III
Chronology_of_the_universe
Study of fundamental reality
analysis, a method particularly prominent in analytic philosophy, aims to decompose metaphysical concepts into component parts to clarify their meaning and
Metaphysics
2004 film by Edgar Wright
Webley's chapter looks at the use of the Uncanny in the film, while Shelley S. Rees' chapter discusses the film's Marxist implications and the transgressive
Shaun_of_the_Dead
Fictional alien race in the Star Trek franchise
candidate to serve as the primary antagonists for the first two seasons. Today's Ree Hines called the Vidiians one of the greatest Star Trek villains, writing
Vidiians
Chemical compound
August 2025. Katritzky, Alan R.; Gilchrist, Thomas L.; Meth-Cohn, Otto; Rees, Charles Wayne (21 March 2003). Comprehensive Organic Functional Group Transformations
Dichlorodiiodomethane
Relative deformation of a physical body
ISBN 978-0-486-46290-5. Archived from the original (PDF) on 2010-03-31. Rees, David (2006). Basic Engineering Plasticity: An Introduction with Engineering
Strain_(mechanics)
American serial killer (1946–1989)
his victims, grooming and performing sex acts on the corpses until decomposition and destruction by wild animals made further interactions impossible
Ted_Bundy
Marine synthesis of organic compounds
1353. S2CID 15511444. Finkel, Z. V.; Beardall, J.; Flynn, K. J.; Quigg, A.; Rees, T. A. V.; Raven, J. A. (2010). "Phytoplankton in a changing world: Cell
Marine_primary_production
Extraction of some soluble substances from a solid material into a liquid
substances (inorganic and organic), solute leaching in soil, and in the decomposition of organic materials. Leaching can also be applied affectedly to enhance
Leaching_(chemistry)
Global sum of all ecosystems on Earth
Interview, freeview video of Paul Crutzen Nobel Laureate for his work on decomposition of ozone talking to Harry Kroto Nobel Laureate by the Vega Science Trust
Biosphere
Nazi death camps established to systematically murder
Slave-Labor Camp. W W Norton & Company. pp. 53–54. ISBN 978-0393338874. Rees 2006, pp. 53, 148. Mendelsohn, John, ed. (1945). "Wannsee Protocol of January
Extermination_camp
Earth's most severe extinction event
(1): 15–31. Bibcode:2008PalJ...42...15S. doi:10.1134/S0031030108010036. Rees, P. McAllister (1 September 2002). "Land-plant diversity and the end-Permian
Permian–Triassic extinction event
Permian–Triassic_extinction_event
1963–65 serial child killings in England
letter. In her 30,000-word plea for parole submitted to Home Secretary Merlyn Rees, Hindley said: Within months he [Brady] had convinced me that there was no
Moors_murders
Cyclosilicate mineral
F−, CO3− and possibly also SO4-bearing silicates of Na, K, H3O, Ca, Sr, REEs, Mn, Fe, Nb and W. Electron vacancies can be present in their structure,
Eudialyte
English serial killer (1899–1953)
Place. Liverpool, England: Memoirs Books. p. 63. ISBN 978-1-908-22338-8. Rees-Mogg, William, ed. (18 May 1970). "Christie's ghost returns". The Times.
John_Christie_(serial_killer)
Square of numbers with equal row, column and diagonal totals
By Marcus-Ree theorem, however, there need not be more than k ≤ n 2 − 2 n + 2 {\displaystyle k\leq n^{2}-2n+2} terms in any decomposition. Clearly, this
Magic_square
English actor (born 1943)
Sperm Is Sacred" and "Spam". His solo musical compositions included "Decomposing Composers" and "Finland". In 1971, he co-wrote, with Hugh Leonard and
Michael_Palin
Plant Growth Analysis. London: E. Arnold. ISBN 0713126957. OCLC 4408604. Rees, M.; Osborne, C.P.; Woodward, F.I.; Hulme, S.P.; Turnbull, L.A.; Taylor,
Plant_growth_analysis
English anatomist and naturalist
was intended to preserve the natural colour of the tissues and arrest decomposition, allowing practical instruction to continue during the summer. His interest
Joshua_Brookes
Third planet from the Sun
and temperature; and by biological processes including the growth and decomposition of biomass into soil. Earth's surface has an area of about 510 million km2
Earth
Range to estimate an unknown parameter
A Course in Mathematical Statistics (2nd ed.). Academic Press. p. 397. Rees, D.G. (2001). Essential Statistics, 4th Edition, Chapman and Hall/CRC. ISBN 1-58488-007-4
Confidence_interval
Branch of chemistry
Kenneth C. (1996). "Arsoles, stiboles, and bismoles". In Katritzky, Alan R.; Rees, Charles Wayne; Scriven, Eric F. V. (eds.). Comprehensive Heterocyclic Chemistry
Organobismuth_chemistry
Disorder of consciousness caused by severe brain damage
these patient assume their own medical decision making. Professor Geraint Rees, Director of the Institute of Cognitive Neuroscience at University College
Vegetative_state
Organism belonging to kingdom Fungi
either as mushrooms or as molds. Fungi perform an essential role in the decomposition of organic matter and have fundamental roles in nutrient cycling and
Fungus
Actions to reduce net greenhouse gas emissions to limit climate change
remains untouched, only some of the carbon returns to the atmosphere as decomposition proceeds. Farming can deplete soil carbon and render soil incapable
Climate_change_mitigation
Chemical reaction involving changes in oxidation state
Redox (/ˈrɛdɒks/ RED-oks, /ˈriːdɒks/ REE-doks, reduction–oxidation or oxidation–reduction) is a type of chemical reaction in which the oxidation states
Redox
ได้เพียงที่เดียวในประเทศ. Technology Chaoban Magazine (in Thai). Rees, Ann (2013). "Silurus glanis (wels catfish)". www.cabi.org. CABI Compendium
List_of_domesticated_animals
Supernatural being originating in folklore
University of New York Press Albany 1981 ISBN 0-87395-506-4 p. 117-125 Valery Rees From Gabriel to Lucifer: A Cultural History of Angels Bloomsbury Publishing
Ghost
Species of tree
Kuehn KA. Periphytic algae decouple fungal activity from leaf litter decomposition via negative priming. Funct Ecol. 2019; 33: 188–201. https://doi.org/10
Liriodendron_tulipifera
and Devinder, whose bodies have never been found. A third defendant, Peter Rees, was convicted of murdering the children's father Amarjit Chohan but acquitted
List of murder convictions without a body
List_of_murder_convictions_without_a_body
wrote Rees – "and this is a fact that has not received the acknowledgement it should – is any emphasis on Christianity" – though Germany, Rees noted,
Religious views of Adolf Hitler
Religious_views_of_Adolf_Hitler
his mother Michelle Lodzinski reported him missing from a carnival. Decomposition was too advanced to determine how Wiltsey had died. Suspicion accumulated
List_of_unsolved_deaths
Termination of a species' lineage
concerns about human extinction have been raised, for example in Sir Martin Rees' 2003 book Our Final Hour, those concerns lie with the effects of climate
Extinction
Legal killing of a person as punishment
unconsciousness. However, the U.S. Supreme Court ruled in 2008 (Baze v. Rees) and again in 2015 (Glossip v. Gross) that lethal injection does not constitute
Capital_punishment
Town in Western Cape, South Africa
Dictionary of Arts, Sciences, and Literature. Abraham Rees, 1819. London: Longman, Hurst, Rees, Orme & Brown "A brief history of our town..." Stellenbosch
Stellenbosch
Music festival in Germany
annual German open air music festival, first held in 1984. It takes place in Rees-Haldern (North Rhine-Westphalia). The Haldern Pop Festival cannot be limited
Haldern_Pop
Termination of a pregnancy
Health Organization. 78 (5): 580–592. PMC 2560758. PMID 10859852. Jewkes R, Rees H, Dickson K, Brown H, Levin J (March 2005). "The impact of age on the epidemiology
Abortion
Chemical element with atomic number 90 (Th)
Materials for Energy Conversion. Elsevier. pp. 562–565. ISBN 978-0-08-044472-7. Rees, E. (2011). "Don't believe the spin on thorium being a greener nuclear option"
Thorium
American mathematician
53–89 With David Eisenbud, W. Vasconcelos Direct methods for primary decomposition, Inventiones Mathematicae, volume 110, 1992, pg. 207–236 Uniform bounds
Craig_Huneke
Ilan; Theesfeld, Chandra L.; Troyanskaya, Olga G. (July 9, 2025). "Decomposition of phenotypic heterogeneity in autism reveals underlying genetic programs"
History_of_autism
Emission of light by a living organism
The production of the excited state molecules always involves the decomposition of organic peroxides. Generically, the luciferin/luciferase reaction
Bioluminescence
Symbiosis of fungi with algae
the environment. When growing on mineral surfaces, some lichens slowly decompose their substrate by chemically degrading and physically disrupting the
Lichen
Mathematical ring with well-behaved ideals
Noetherian. Over a commutative Noetherian ring, each ideal has a primary decomposition, meaning that it can be written as an intersection of finitely many
Noetherian_ring
War crimes committed by the Empire of Japan
he found 7 Japanese bodies and he found 12 bodies in total with no decomposition on the feet, hands and head but the flesh on the rest of the body cut
Japanese_war_crimes
Lack of economic resources
Lars; Xu, Kuan. "International Comparisons of Poverty Intensity: index decomposition and bootstrap inference". The Journal of Human Resources. 2000 (35):
Poverty
Low-temperature supply chain
Temperature data logger Time temperature indicator Track and trace Thermal decomposition Thermal insulation Tolerance (engineering) Transportation management
Cold_chain
Scottish physician and inventor (1788–1874)
physics. Vol. 1. London: Longman & Rees & Orme & Brown & Green. 1829. Elements of physics. Vol. 2. London: Longman & Rees & Orme & Brown & Green. 1829. Elements
Neil_Arnott
Roman emperor from 306 to 337
[Otbebookpublishing]. ISBN 978-3-96272-518-1. OCLC 1059411020. Barnes 1981, pp. 28–29; Rees 2002, p. 160; Lenski et al., p. 62; Odahl 2001, pp. 78–80. Barnes 1981, p
Constantine_the_Great
Chemical compound
RNH2 → S2NC2Cl(=NR) + [RNH3]Cl The compound was discovered by Appel et al. Rees, Charles W. (1992). "Polysulfur-Nitrogen Heterocyclic Chemistry". Journal
4,5-Dichloro-1,2,3-dithiazolium chloride
4,5-Dichloro-1,2,3-dithiazolium_chloride
Everything in space and time
physics. New York Heidelberg: Springer. pp. 193–244. ISBN 978-0-387-10090-6. Rees, Martin J.; DK Publishing, Inc; Smithsonian Institution, eds. (2012). Universe
Universe
British chemist and inventor (1778–1829)
S: Knapp. Davy, Humphry (1808). "Electrochemical Researches, on the Decomposition of the Earths; With Observations in the Metals Obtained from the Alkaline
Humphry_Davy
Former mining hamlet in Devon, England
Rowe. p. 223. Jones, John Pike (1829). Flora Devoniensis. London: Longman, Rees, Orme, Brown, and Green. p. 105. Gearey, B.R. (1997). "The landscape context
Whiteworks
Chemical element with atomic number 41 (Nb)
deposition or atomic layer deposition processes, produced by the thermal decomposition of niobium(V) ethoxide above 350 °C (662 °F). Niobium forms halides
Niobium
Numerical method used to solve a Riemann problem
for the Euler equations, by extending the previous CIR (Courant-Isaacson-Rees) method to non-linear systems of hyperbolic conservation laws. Modern solvers
Riemann_solver
Obelisk in Hagley, Worcestershire, England
Chambers, John (1817). A general history of Malvern. London: Longman, Hurst, Rees, Orme and Brown. p. 199. Pagett, Tom (1994). "Follies and other features
Wychbury_Obelisk
National park in Wyoming, United States
source for birds, fish, mammals, and other animals, and help in the decomposition of wood. In one example of the importance of insects to the ecosystem
Grand_Teton_National_Park
Medication used for epilepsy, bipolar disorder and migraine
acid, SAHA). [...] Burton BS (1882). "On the propyl derivatives and decomposition products of ethylacetoacetate". Am. Chem. J. 3: 385–395. Meunier H,
Valproate
Philosophical view that consiousness and the body are fundamentally different
11 (5): 543–545. doi:10.1038/nn.2112. PMID 18408715. Haynes, John-Dylan; Rees, Geraint (July 2006). "Decoding mental states from brain activity in humans"
Mind–body_dualism
William Horncy, Peter Rees Hounslow, London, UK 45 Murdered Amarjit Chohan was abducted by his business associates Regan, Horncy, and Rees, who tortured him
List of kidnappings (2000–2009)
List_of_kidnappings_(2000–2009)
Chemical element with atomic number 60 (Nd)
Vigier, Nicolas; Patisson, Fabrice (2012). "New insights on the thermal decomposition of lanthanide(III) and actinide(III) oxalates: from neodymium and cerium
Neodymium
Toxic effects of carbon monoxide
Chemistry. 25 (8): 1388–93. doi:10.1093/clinchem/25.8.1388. PMID 455674. Rees PJ, Chilvers C, Clark TJ (January 1980). "Evaluation of methods used to estimate
Carbon_monoxide_poisoning
Religion practised by ancient Celtic people
L'Antiquité Classique. 84: 173–226. doi:10.3406/antiq.2015.3872. Rees, Alwyn and Rees, Brinley (1961) Celtic Heritage: Ancient Tradition in Ireland and
Ancient_Celtic_religion
Concept of permanent human habitation outside of Earth
for colonization. An alternative model of Enceladus's activity is the decomposition of methane/water clathrates – a process requiring lower temperatures
Space_colonization
Dump with fast microbial decomposition
landfills. The main goal of bioreactor landfills is an accelerated decomposition. As decomposition progresses, the mass of biodegradable components in the landfill
Bioreactor_landfill
"L2/21-041: Unicode request for additional para-IPA letters" (PDF). Miller, Kirk; Rees, Neil (2021-07-16). "L2/21-156: Unicode request for legacy Malayalam" (PDF)
List_of_Latin-script_letters
Chemical compound
September 2025. Katritzky, Alan R.; Gilchrist, Thomas L.; Meth-Cohn, Otto; Rees, Charles Wayne (21 March 2003). Comprehensive Organic Functional Group Transformations
Difluorodiiodomethane
Concept for greenhouse gas emissions analysis
McBain, Darian; Kanemoto, Keiichiro (1 February 2016). "A structural decomposition analysis of global energy footprints". Applied Energy. 163: 436–451
Carbon_footprint
Species of bivalve
discovered in 2021 in two lakes on the River Shannon: Lough Derg and Lough Ree. The mussel is expected to compete with existing zebra mussels and native
Quagga_mussel
Equations in physical cosmology
Modern cosmology. San Diego, Calif: Academic Press. ISBN 978-0-12-219141-1. Rees, Martin (2001). Just six numbers: the deep forces that shape the universe
Friedmann_equations
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REES DECOMPOSITION
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