clade Caenogastropoda
Boreotrophon beringi (Dall, 1902)

Mayor

clade Heterobranchia

Borel determinacy

Boren Wappen .png

Boreotrophon disparilis is a species of sea snail, a marine gastropod mollusk in the family Muricidae, the murex snails or rock snails.

Distribution of Boreohesperus species

Borel functional calculus

Borel summation method

B. disparilis

Boreman

B. cepula

Borenore Caves

Boreogadus saida, known as the polar cod or as the Arctic cod, is a fish of the cod family Gadidae, related to the true cod (genus Gadus). Another fish species for which both the common names Arctic cod and polar cod are used is Arctogadus glacialis.B. saida has a slender body, a deeply forked tail, a projecting mouth, and a small whisker on its chin. It is plainly coloured with brownish spots and a silvery body. It grows to a length of 40 cm (16 in).

clade Neogastropoda

Boreotrophon

B. clavatus

clade Panpulmonata

US Intelligence Reforms

Borel regular measure

Borens IK is a Swedish football club located in Motala in Östergötland County.

Boreotrophon bentleyi

Boreocingula castanea

Armand Borel

Boreosomus

Clifford/Cline Proposals •

Trophon aomoriensis (Nomura & Hatai, 1940)

Boreocingula globulus is a species of minute sea snail, a marine gastropod mollusk or micromollusk in the family Rissoidae.

clade Hypsogastropoda

Borella, Italian bowling game

other

Borelia

Boreotrophon (P. Fischer, 1884)

Boreohesperus
Boreohesperus distribution.jpg
Boreohesperus is a genus of paradoxosomatid millipedes containing six species native to Western Australia. The name refers to the northwestern distribution in Australia, deriving from Boreas, Greek god of the North, and hesperus, Latin for "west".Individuals have twenty body segments, each smooth and unsculptured, with a distinct waist between the first and second tergites (prozonite and metazonite) of each segment. The paranota (keels), if present, are small and poorly developed. The largest species, B. capensis, reaches 22 mm (0.87 in) in length, and 2 mm in body width. Lengths of other species range from 7 to 10 mm. The body color of live individuals is dark brown, appearing black. Biologist William Shear described the genus Boreohesperus and its first known species, B. capensis, in 1992 based on specimens collected from cave entrances in the Cape Range in North West Cape, Western Australia. Five new species were described in 2013, including one endemic to Barrow Island. The six species are distinguished primarily by differences in gonopod structure, and to a lesser extent, body size.

Boreman Hall

Animalia

Boreolepis is an extinct genus of prehistoric bony fish.

Boreotrophon albus

Boreotrophon apolyonis

Borel distribution

The Borel Hydro-monoplane was a French seaplane produced in 1912.

Iran-Contra Investigation •

Boreotrophon flos

• C'G1 for m'i = 1

Species

Boreotrophon kabati

Borel–Cantelli lemmas

Boreotrophon alborostratus (Taki, 1938)

The First

Boreopterid

Borell-TIS inequality

Canobolas

Neptunea elegantulus (Dall, 1907)

Boreoscala zelebori

Borel sets

Boreophila scandinavialis

Boreotrophon apolyonis is a species of sea snail, a marine gastropod mollusk in the family Muricidae, the murex snails or rock snails.

Borel–Bott–Weil theorem

Boreopteridae (meaning "northern wings") is a group of ornithocheiroid pterosaurs from the Aptian-age Lower Cretaceous Yixian Formation of Liaoning, China.

Borella is the largest suburb in Colombo, Sri Lanka represented by divisional code 8.

FF0000

gwong2 dung1 zung1 gaa1 paak3 jan4 hok6 haau6

Königstraße 5

Borelli v. Brusseau

Boreolestes

Boreogomphodon is a genus of traversodontid cynodont from the Late Triassic of the eastern United States. Fossils have been found from the Turkey Branch Formation in Virginia.

Borel measurable

one passneger

Boreotrophon clavatus is a species of sea snail, a marine gastropod mollusk in the family Muricidae, the murex snails or rock snails.

Boreotrophon bentleyi is a species of sea snail, a marine gastropod mollusk in the family Muricidae, the murex snails or rock snails.

Trophon decoratus (Locard, 1897)

Borens IK

Boren Fellows

Okutani, 1964

Boreoiulus is a genus of millipedes in the family Blaniulidae, containing the following species:Boreoiulus dollfusi (Brölemann, 1894)Boreoiulus simplex Brölemann, 1921Boreoiulus tenuis (Bigler, 1913)

Division 4 Östergötland Västra, 1st

Boreotrophon avalonensis

Boreolestes is a genus of predatory air-breathing land slugs, shell-less pulmonate gastropod mollusks in the family Trigonochlamydidae.The generic name Boreolestes contains the suffix -lestes, that means "robber".

Cingula globulus

Boreotrophon elegantulus

Boreotrophon alaskanus is a species of sea snail, a marine gastropod mollusk in the family Muricidae, the murex snails or rock snails.

Boreopterus is a genus of pterodactyloid pterosaur from the Barremian-Aptian-age Lower Cretaceous Yixian Formation of Dalian, Liaoning, China.The genus was named in 2005 by Lü Jinchang and Ji Qiang. The type species is Boreopterus cuiae. The genus name is derived from Greek boreios, "northern" and pteron, "wing". The specific epithet honours Cui Xu.The genus is based on holotype JZMP-04-07-3, a nearly complete but crushed skeleton and skull. The skull is 235 millimeters long (9.25 inches), low and elongated with a rounded tip. Its wingspan is estimated to have been around 1.45 meters (4.76 feet). Its teeth, especially the anterior nine pairs, are quite large, forming a mesh of sharp teeth at the front of the mouth; the third and fourth teeth from the front are the largest. There are at least 27 teeth in each side of both the upper and lower jaws, which is a large amount.

Boreohesperus capensis

Borenore Karst Conservation Reserve

Sues and Olsen, 1990

Borel polygon

Boreotrophon mazatlanicus

Boreophausia raschii

Boreotrophon alaskanus

Borena of alania

Boreogadus saida

Borel field of sets

Borensberg

Brölemann, 1921

Boreotrophon gaidenkoi

Borel hydro-monoplane

NSW Country lines

Boreolestes likharevi is a species of predatory air-breathing land slug, a shell-less pulmonate gastropod mollusk in the family Trigonochlamydidae.Boreolestes likharevi is the type species of the genus Boreolestes.The specific name likharevi is in honor of the Russian malacologist Ilya Mikhailovich Likharev.

Boreonychus

Boreophila minuscula

In the theory of algebraic groups, a Borel subgroup of an algebraic group G is a maximal Zariski closed and connected solvable algebraic subgroup.

Borell–Brascamp–Lieb inequality

Boren

Boren family

discrete

Arthropoda

Borella

clade Euthyneura

Boreolestes likharevi

Boreocingula martyni

Borel–Weil–Bott theorem

clade Eupulmonata

Boreolestes sylvestris is a species of predatory air-breathing land slug, a shell-less pulmonate gastropod mollusk in the family Trigonochlamydidae.

clade Littorinimorpha

Borellian

B. eucymatus

Borel isomorphism

Borel group

Boreotrophon eucymatus

Boreotrophon mazatlanicus is a species of sea snail, a marine gastropod mollusk in the family Muricidae, the murex snails or rock snails.

Borel σ-algebra

Boreotrophon albus is a species of sea snail, a marine gastropod mollusk in the family Muricidae, the murex snails or rock snails.

Boreocingula

Late Cretaceous

Shear, 1992

Boreoiulus

Boreocingula globulus

Boreotrophon craticulatus

Brusseau v. Borelli, 12 Cal. App. 4th 647, 16 Cal. Rptr. 2d 16, was a California Superior Court Case from 1992 involving the enforcement of a contract.

Borel subgroup

Borel–Moore homology

Boreocingula martyni is a species of minute sea snail, a marine gastropod mollusk or micromollusk in the family Rissoidae.

Boremshchyna (Ukrainian: Боре́мщина) is a village in the Liuboml Raion (district) of the Volyn Oblast (province) of western Ukraine. As of 2012, the population was 62. It was the birthplace of Danylo Shumuk (December 30, 1914), a member of the Ukrainian resistance during World War II.

Boreolestes sylvestris

Borel field

Boreostereaceae

In mathematics, a Borel equivalence relation on a Polish space X is an equivalence relation on X that is a Borel subset of X × X (in the product topology).

B. sulphuratum

* B. jeffersoni (Sues and Olsen, 1990 )

Boreophila badakschanalis

Boreopelta is an extinct genus of rhytidosteid temnospondyl from the early Triassic period (Olenekian stage) of Yakutsk Region, central Siberia, Russia. It is known from the holotype PIN 4115/1, a skull fragment and from the referred specimen PIN 4113/5, a partial lower jaw, recovered from the Teryutekhskaya Formation near the Karya-khos-Teryutekh River. This genus was named by M. A. Shishkin and M. N. Vavilov in 1985, and the type species is Boreopelta vavilovi.

Boreolepis

Cabonne Shire

Borenore railway station, New South Wales

Boreotrophon cymatus is a species of sea snail, a marine gastropod mollusk in the family Muricidae, the murex snails or rock snails.
Boreotrophon cymatus

Boreosmittia is a genus of European non-biting midges in the subfamily Orthocladiinae of the bloodworm family (Chironomidae).

Borel–Kolmogorov paradox

Janne Johansson

Boreotrophon hazardi

Boreonykus certekorum

Boreophila frigidalis

Boreotrophon avalonensis is a species of sea snail, a marine gastropod mollusk in the family Muricidae, the murex snails or rock snails.

Boren, Germany

Borel–Cantelli

Boreoheptagyia

Borel sum

Boreotrophon flos is a species of sea snail, a marine gastropod mollusk in the family Muricidae, the murex snails or rock snails.

The Kirkpatrick Report •

Borel resummation

廣東中加柏仁學校

Boreopelta

Boreoiulus dollfusi

Early Cretaceous,

Boreogomphodon

Boreotrophon egorovi is a species of sea snail, a marine gastropod mollusk in the family Muricidae, the murex snails or rock snails.

The Boren-McCurdy intelligence reform proposals are two legislative proposals from Senator David Boren and Representative David McCurdy in 1992 (102nd Congress). Both pieces of legislation propose the creation of a National Intelligence Director. Neither bill passed into law.

Boremshchyna

The Borel distribution is a discrete probability distribution, arising in contexts including branching processes and queueing theory.If the number of offspring that an organism has is Poisson-distributed, and if the average number of offspring of each organism is no bigger than 1, then the descendants of each individual will ultimately become extinct. The number of descendants that an individual ultimately has in that situation is a random variable distributed according to a Borel distribution.

Boreotrophon hazardi is a species of sea snail, a marine gastropod mollusk in the family Muricidae, the murex snails or rock snails.

clade Stylommatophora

B. borbonicum

Borel–Weil theorem

The Doolittle Report •

Borel–Carathéodory theorem

Borel right process

Borel field of events

, New South Wales, Australia

Borello

Borel graph

Boreopterids

Boreoatlantic Armhook Squid

Boreotrophon houarti

THEOREM. The maximal connected subgroups of maximal rank in G1 up to conjugacy have the form

Location within Wood county

B. bentleyi

Trophon dabneyi var. lanceolata (Locard, 1897)

B. dollfusi

IC21 •

Boreogadus

Boreopterus cuiae

B. likharevi

Boreotrophon aomoriensis

广东中加柏仁学校

Günther, 1862

Boreopterine

Boreotrophon dabneyi

Boreocanthon

Bell & Currie, 2015

B. castanea

Borel–de Siebenthal theory

ZIP codes

Boremel (Ukrainian :Hormel, Боремель , Polish : Boremel, Yiddish : Barmli) is a village in the Demydivka Raion in Rivne Oblast in western Ukraine. The population is 866 inhabitants.

The Borenore Caves, contained within the Borenore Karst Conservation Reserve, are a series of limestone caves that are located in the Central West region of New South Wales, Australia. The caves are renowned for their karst qualities, namely the numerous fossils from a long-lived reef complex from the Silurian era. Fossils include corals, crinoids, brachiopods, gastropods, pentamerids, colonial tryplasmids and trilobites. Borenore's karst is totally surrounded by igneous rock that flowed from volcanic eruptions at nearby Mount Canobolas.The 136-hectare (340-acre) reserve is situated 17 kilometres (11 mi) west of Orange, and is registered as a natural heritage site on the Register of the National Estate for its large diversity of karst morphological and sedimentological features. Camping in the reserve is not permitted.

B. martyni

GNIS feature ID

Borel

Borel transform (disambiguation)

WMD Commission •

V.L.

B. radiatum

met

Boreotrophon clavatus

Boreophila nissalis

Boreman Hall is a residence hall on the campus of West Virginia University in Morgantown, West Virginia. Originally called Men's Hall when it was constructed in 1935, the hall is named after Arthur I. Boreman, the first governor of the state of West Virginia.With the addition of a new annex building in 1963, Boreman Hall is now actually two separate buildings. Boreman Hall North, the newer of the two, is currently an all female dorm, the only single sex residence hall on the campus. Boreman Hall South, the older E-shaped building, is coed and includes 10 entrances. These entrances are connected to the others by way of bathrooms and ground floor lounges.Construction on the original building started in 1934 and opened in time for the 1935 school year. With its opening, the university finally had a place for its men to live on campus. Before the hall was completed, men had to either live in fraternity houses, boarding houses, or with a local Morgantown family.Funding for the building came in part from the federal Works Progress Administration which was a New Deal agency set up during the Great Depression of the 1930s. The building cost $625,000 at the time which is roughly equal to about $8.5 million in 2003 US Dollars.During World War II, the hall was used as an Army Air Force barracks. Prominent dents in the doors of Boreman hall could still be seen as recently as 1999, remnants of Drill Instructors striking to doors sharply with rifle butts in order to awaken soldiers/airmen at early hours, especially new recruits. Directly across from the hall, where the current Student Union stands, there was a parade field and an armory that were used as training grounds. Residents of the hall were transported to the Morgantown airport, where they were trained by the US Air Force.Since the end of the war, the hall has been used strictly as a residence hall and continues to be used as such today. It has been renovated and remodeled over the years, but it has remained one of the main cornerstones of the West Virginia University community and has often been the building where new programs that have moved campus-wide have been instituted.The hall is listed on the National Register of Historic Places.

left

Borel fixed-point theorem

Domenic P. Sbrocchi

Borenovice

V.P.

Borella Road

Boreland

Boren Sino-Canadian School

Nil

Stefan Östling

Boreocingula castanea is a species of minute sea snail, a marine gastropod mollusk or micromollusk in the family Rissoidae.

Borens IP

Boreosomus is an extinct genus of prehistoric ray-finned fish.

informal group Sigmurethra

B. hazardi

Borel crater

Boreoheptagyia is a genus of non-biting midges in the subfamily Diamesinae of the bloodworm family Chironomidae.

In functional analysis, a branch of mathematics, the Borel functional calculus is a functional calculus (that is, an assignment of operators from commutative algebras to functions defined on their spectra), which has particularly broad scope. Thus for instance if T is an operator, applying the squaring function s → s2 to T yields the operator T2.

Insecta

NSW

Boreotrophon disparilis

Boreotrophon gaidenkoi is a species of sea snail, a marine gastropod mollusk in the family Muricidae, the murex snails or rock snails.

Public; limited access MayOctober

Borellia anserina

John Henderson

Boreotrophon cepula

Boren Fellow

In mathematics, the Borel fixed-point theorem is a fixed-point theorem in algebraic geometry generalizing the Lie–Kolchin theorem. The result was proved by Armand Borel (1956).

B. egorovi

Boren Sino-Canadian School (BSC; simplified Chinese: 广东中加柏仁学校; traditional Chinese: 廣東中加柏仁學校) is an international school in Jiangmen, Guangdong. Founded in 1999, the school provides education for over 1,100 students representing more than 30 nationalities from Year 1 to Year 12. The school offers its students learning options that provide both a Chinese curriculum and an Ontario, Canada curriculum, allowing students to earn diplomas from both systems.

Boreohesperus dubitalis

Borenore is a small rural community located 14 kilometres (8.7 miles) west of Orange, in the central western region of New South Wales. Borenore is situated in the Cabonne Shire local government area.

Trophon dabneyi var. minor (Locard, 1897)

Borens Idrottsklubb

Tuiskunen, 1986

Houart, 1995

Location within the state of West Virginia

Borena (or Borana) is one of the zones of the Oromia Region of Ethiopia. Borena is named after a tribe of the Oromo people. Borena is bordered on the south by Kenya, on the west by the Southern Nations, Nationalities, and Peoples Region, on the north by West Guji and Guji and on the east by the Somali Region. The highest point in this zone is Mount Dara Tiniro. Cities and major towns in this Zone include Negele Borana, Moyale, Yabelo, Dubuluk, Mega, Millami, Surupa and Bakke.

Lü & Ji, 2005

B. kabati

Boreotrophon cepula is a species of sea snail, a marine gastropod mollusk in the family Muricidae, the murex snails or rock snails.

Borell of Urgel

Boreman Hall is a residence hall on the campus of West Virginia University in Morgantown, West Virginia. Originally called Men's Hall when it was constructed in 1935, the hall is named after Arthur I. Boreman, the first governor of the state of West Virginia.With the addition of a new annex building in 1963, Boreman Hall is now actually two separate buildings. Boreman Hall North, the newer of the two, is currently an all female dorm, the only single sex residence hall on the campus.

Borel–Caratheodory theorem

பொறளை

Boreogadus saida, known as the polar cod or as the Arctic cod, is a fish of the cod family Gadidae, related to the true cod (genus Gadus). Another fish species for which both the common names Arctic cod and polar cod are used is Arctogadus glacialis.B. saida has a slender body, a deeply forked tail, a projecting mouth, and a small whisker on its chin. It is plainly coloured with brownish spots and a silvery body. It grows to a length of 40 cm (16 in). This species is found further north than any other fish (beyond 84°N) with a distribution spanning the Arctic seas off northern Russia, Alaska, Canada, and Greenland.This fish is most commonly found at the water's surface, but is also known to travel at depths greater than 900 m. The polar cod is known to frequent river mouths. It is a hardy fish that survives best at temperatures of 0–4°C, but may tolerate colder temperatures owing to the presence of antifreeze protein compounds in its blood. They group in large schools in ice-free waters.B. saida feeds on plankton and krill. It is in turn the primary food source for narwhals, belugas, ringed seals, and seabirds. They are fished commercially in Russia.

top

Trophonopsis clavatus (Sars, GO, 1879)

B. flos

Borella electoral district was an electoral district of Sri Lanka between March 1960 and February 1989. The district was named after the town of Borella in Colombo District, Western Province. The 1978 Constitution of Sri Lanka introduced the proportional representation electoral system for electing members of Parliament. The existing 160 mainly single-member electoral districts were replaced with 22 multi-member electoral districts.

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Borel subalgebra

Borel monoplane of 1911

In mathematics, an outer measure μ on n-dimensional Euclidean space Rn is called a Borel regular measure if the following two conditions hold:Every Borel set B ⊆ Rn is μ-measurable in the sense of Carathéodory's criterion: for every A ⊆ Rn, μ ( A ) = μ ( A ∩ B ) + μ ( A ∖ B ) .

Boren (Danish: Borne) is a municipality in the district of Schleswig-Flensburg, in Schleswig-Holstein, Germany. It is situated on the Schlei inlet, on the south side of the peninsula Angeln.

V.P. Platonov

Borelly

Boreotrophon houarti is a species of sea snail, a marine gastropod mollusk in the family Muricidae, the murex snails or rock snails.

Boreopterus is a genus of pterodactyloid pterosaur from the Barremian-Aptian-age Lower Cretaceous Yixian Formation of Dalian, Liaoning, China.The genus was named in 2005 by Lü Jinchang and Ji Qiang. The type species is Boreopterus cuiae. The genus name is derived from Greek boreios, "northern" and pteron, "wing". The specific epithet honours Cui Xu.The genus is based on holotype JZMP-04-07-3, a nearly complete but crushed skeleton and skull.

THEOREM. Up to equivalence the closed root subsystems are given by m'i = 1 with simple roots all αj with j ≠ i or by m'i > 1 prime with simple roots −α0 and all αj with j ≠ i.

Boreman, West Virginia

Borenius & Kemppinen

Neptunea callicerata (Dall, 1919)

Boren Sino Canadian School

Boreocanthon is a genus of Scarabaeidae or scarab beetles in the superfamily Scarabaeoidea.

Boreonykus is an extinct genus of dromaeosaurid dinosaur, that lived during the Late Cretaceous in the area of present Canada.Fragmentary dromaeosaurid remains were discovered in the eighties at the Pipestone Creek site in central Alberta during excavations of a bonebed containing at least twenty-seven individuals of the ceratopsid Pachyrhinosaurus lakustai. They were initially partly referred to a Saurornitholestes sp.The type species Boreonykus certekorum was named and described by Phil Bell and Philip John Currie in 2015. The genus name is a variation of "Boreonychus", "northern claw". The specific name certekorum honors the Certek Heating Solutions company, that works in the oil industry, and provided financial support for the excavations.The holotype specimen of Boreonykus, TMP 1989.055.0047, was found in a layer of the Wapiti Formation in central Alberta, which dates from the late Campanian, 73.27 ± 0.25 million years ago. It consists of a right frontal bone. Fourteen loose teeth have been referred to the species, as well as several postcranial bones, perhaps of the same individual: the specimen TMP 1988.055.0129, a rear caudal vertebra; UALVP 53597, a claw of the second finger, and the specimen TMP 1986.055.0184.1, a sicle claw of the foot.A single autapomorphy, unique derived trait, was indicated: the ridges bordering the fronts of the depressions around the supratemporal fenestrae form an acute angle of 55° together, pointing to the rear.Boreonykus was, within the Dromaeosauridae, placed in the Velociraptorinae. It was seen as both an indication of faunal provincialism and a quick species turn-over rate.

Boreopterus

Moore

Boreostracon

Onoba globulus

Borell of Urgell

Boreotrophon kabati is a species of sea snail, a marine gastropod mollusk in the family Muricidae, the murex snails or rock snails.

Borell-Brascamp-Lieb inequality

Boreotheria

Schileyko & Kijashko, 1999

Borell–TIS inequality

cuiae

Borenore, New South Wales

Boreohesperus is a genus of paradoxosomatid millipedes containing six species native to Western Australia. The name refers to the northwestern distribution in Australia, deriving from Boreas, Greek god of the North, and hesperus, Latin for "west".Individuals have twenty body segments, each smooth and unsculptured, with a distinct waist between the first and second tergites (prozonite and metazonite) of each segment. The paranota (keels), if present, are small and poorly developed.

B. apolyonis

Borel fixed point theorem

Borenore

Göta hotell Borensberg.JPG

clade limacoid clade

The Second

Vladimir L. Popov

Amaroo

nsw

The Boren family is a prominent American political family from Oklahoma. The family has been described as "Democratic party royalty in Oklahoma" and "a mainstay of Oklahoma and national politics."The family is one of the most notable in Oklahoma, producing Democratic politicians including Lyle Boren (1909–1992), U.S. Representative for Oklahoma's 4th district from 1937 to 1947, his son David Boren (born 1941), Governor of Oklahoma from 1975 to 1979, U.S.

Boreonykus

Boremschyna

B. dabneyi

Head Coach

Boren Fellowships

Sweden Östergötland#Sweden

West Virginia#USA

Borena Oromo

McLean, 1996

Fusus lamellosus (Gray, 1839)

Parmasto

In mathematics, an outer measure μ on n-dimensional Euclidean space Rn is called a Borel regular measure if the following two conditions hold:Every Borel set B ⊆ Rn is μ-measurable in the sense of Carathéodory's criterion: for every A ⊆ Rn, μ ( A ) = μ ( A ∩ B ) + μ ( A ∖ B ) . {\displaystyle \mu (A)=\mu (A\cap B)+\mu (A\setminus B).} For every set A ⊆ Rn (which need not be μ-measurable) there exists a Borel set B ⊆ Rn such that A ⊆ B and μ(A) = μ(B).An outer measure satisfying only the first of these two requirements is called a Borel measure, while an outer measure satisfying only the second requirement (with the Borel set B replaced by a measurable set B) is called a regular measure.The Lebesgue outer measure on Rn is an example of a Borel regular measure.It can be proved that a Borel regular measure, although introduced here as an outer measure (only countably subadditive), becomes a full measure (countably additive) if restricted to the Borel sets.

Aspen-Brown Commission •

Borensberg is a locality situated in Motala Municipality, Östergötland County, Sweden with 2,886 inhabitants in 2010. It is located 15 km east of Motala next to the Göta kanal and lake Boren, and has some factories including the plastic sheet manufacturer Arla Plast.

August 2010

Trophon cepula (Sowerby, 1880)

Borel lemma

Borellus

බොරැල්ල

Borenium ion

Boremel

Boreotrophon eucymatus is a species of sea snail, a marine gastropod mollusk in the family Muricidae, the murex snails or rock snails.

Shishkin & Vavilov, 1985

Boren-McCurdy •

In the theory of algebraic groups, a Borel subgroup of an algebraic group G is a maximal Zariski closed and connected solvable algebraic subgroup. For example, in the group GLn (n x n invertible matrices), the subgroup of invertible upper triangular matrices is a Borel subgroup.For groups realized over algebraically closed fields, there is a single conjugacy class of Borel subgroups.Borel subgroups are one of the two key ingredients in understanding the structure of simple (more generally, reductive) algebraic groups, in Jacques Tits' theory of groups with a (B,N) pair. Here the group B is a Borel subgroup and N is the normalizer of a maximal torus contained in B.The notion was introduced by Armand Borel, who played a leading role in the development of the theory of algebraic groups.

In mathematics, a Borel isomorphism is a measurable bijective function between two measurable standard Borel spaces. By Souslin's theorem in standard Borel spaces (a set that is both analytic and coanalytic is necessarily Borel), the inverse of any such measurable bijective function is also measurable. Borel isomorphisms are closed under composition and under taking of inverses. The set of Borel isomorphisms clearly forms a group under composition. Borel isomorphisms on standard Borel spaces are analogous to homeomorphisms on topological spaces: both are bijective and closed under composition, and a homeomorphism and its inverse are both continuous, instead of both being only Borel measurable.

Borel sigma-algebra

Boreotrophon pagodus (Egorov, 1993)

B. cymatus

The Taylor Report •

Boreotrophon keepi

Borel−Moore homology

Borel transform

Boren Scholars

Parabolic_subgroup

John Coleman Moore

Boreotrophon aomoriensis is a species of sea snail, a marine gastropod mollusk in the family Muricidae, the murex snails or rock snails.

The

protected

Ann-Sofie Fredriksson

Boren (disambiguation)

Zhenyuanopterus?

Boreosmittia

In mathematics, a Borel isomorphism is a measurable bijective function between two measurable standard Borel spaces. By Souslin's theorem in standard Borel spaces (a set that is both analytic and coanalytic is necessarily Borel), the inverse of any such measurable bijective function is also measurable. Borel isomorphisms are closed under composition and under taking of inverses. The set of Borel isomorphisms clearly forms a group under composition.

Boreocingula is a genus of minute sea snails, marine gastropod mollusks or micromollusks in the family Rissoidae.

Guidraco

Boreosomus slab and counterslab fossils at the Geological Museum in Copenhagen

In the mathematical theory of probability, a Borel right process, named after Émile Borel, is a particular kind of continuous-time random process.Let E {\displaystyle E} be a locally compact, separable, metric space. We denote by E {\displaystyle {\mathcal {E}}} the Borel subsets of E {\displaystyle E} . Let Ω {\displaystyle \Omega } be the space of right continuous maps from [ 0 , ∞ ) {\displaystyle [0,\infty )} to E {\displaystyle E} that have left limits in E {\displaystyle E} , and for each t ∈ [ 0 , ∞ ) {\displaystyle t\in [0,\infty )} , denote by X t {\displaystyle X_{t}} the coordinate map at t {\displaystyle t} ; for each ω ∈ Ω {\displaystyle \omega \in \Omega } , X t ( ω ) ∈ E {\displaystyle X_{t}(\omega )\in E} is the value of ω {\displaystyle \omega } at t {\displaystyle t} . We denote the universal completion of E {\displaystyle {\mathcal {E}}} by E ∗ {\displaystyle {\mathcal {E}}^{*}} . For each t ∈ [ 0 , ∞ ) {\displaystyle t\in [0,\infty )} , let F t = σ { X s − 1 ( B ) : s ∈ [ 0 , t ] , B ∈ E } , {\displaystyle {\mathcal {F}}_{t}=\sigma \left\{X_{s}^{-1}(B):s\in [0,t],B\in {\mathcal {E}}\right\},} F t ∗ = σ { X s − 1 ( B ) : s ∈ [ 0 , t ] , B ∈ E ∗ } , {\displaystyle {\mathcal {F}}_{t}^{*}=\sigma \left\{X_{s}^{-1}(B):s\in [0,t],B\in {\mathcal {E}}^{*}\right\},} and then, let F ∞ = σ { X s − 1 ( B ) : s ∈ [ 0 , ∞ ) , B ∈ E } , {\displaystyle {\mathcal {F}}_{\infty }=\sigma \left\{X_{s}^{-1}(B):s\in [0,\infty ),B\in {\mathcal {E}}\right\},} F ∞ ∗ = σ { X s − 1 ( B ) : s ∈ [ 0 , ∞ ) , B ∈ E ∗ } . {\displaystyle {\mathcal {F}}_{\infty }^{*}=\sigma \left\{X_{s}^{-1}(B):s\in [0,\infty ),B\in {\mathcal {E}}^{*}\right\}.} For each Borel measurable function f {\displaystyle f} on E {\displaystyle E} , define, for each x ∈ E {\displaystyle x\in E} , U α f ( x ) = E x [ ∫ 0 ∞ e − α t f ( X t ) d t ] . {\displaystyle U^{\alpha }f(x)=\mathbf {E} ^{x}\left[\int _{0}^{\infty }e^{-\alpha t}f(X_{t})\,dt\right].} Since P t f ( x ) = E x [ f ( X t ) ] {\displaystyle P_{t}f(x)=\mathbf {E} ^{x}\left[f(X_{t})\right]} and the mapping given by t → X t {\displaystyle t\rightarrow X_{t}} is right continuous, we see that for any uniformly continuous function f {\displaystyle f} , we have the mapping given by t → P t f ( x ) {\displaystyle t\rightarrow P_{t}f(x)} is right continuous.Therefore, together with the monotone class theorem, for any universally measurable function f {\displaystyle f} , the mapping given by ( t , x ) → P t f ( x ) {\displaystyle (t,x)\rightarrow P_{t}f(x)} , is jointly measurable, that is, B ( [ 0 , ∞ ) ) ⊗ E ∗ {\displaystyle {\mathcal {B}}([0,\infty ))\otimes {\mathcal {E}}^{*}} measurable, and subsequently, the mapping is also ( B ( [ 0 , ∞ ) ) ⊗ E ∗ ) λ ⊗ μ {\displaystyle \left({\mathcal {B}}([0,\infty ))\otimes {\mathcal {E}}^{*}\right)^{\lambda \otimes \mu }} -measurable for all finite measures λ {\displaystyle \lambda } on B ( [ 0 , ∞ ) ) {\displaystyle {\mathcal {B}}([0,\infty ))} and μ {\displaystyle \mu } on E ∗ {\displaystyle {\mathcal {E}}^{*}} . Here, ( B ( [ 0 , ∞ ) ) ⊗ E ∗ ) λ ⊗ μ {\displaystyle \left({\mathcal {B}}([0,\infty ))\otimes {\mathcal {E}}^{*}\right)^{\lambda \otimes \mu }} is the completion of B ( [ 0 , ∞ ) ) ⊗ E ∗ {\displaystyle {\mathcal {B}}([0,\infty ))\otimes {\mathcal {E}}^{*}} with respect to the product measure λ ⊗ μ {\displaystyle \lambda \otimes \mu } . Thus, for any bounded universally measurable function f {\displaystyle f} on E {\displaystyle E} , the mapping t → P t f ( x ) {\displaystyle t\rightarrow P_{t}f(x)} is Lebeague measurable, and hence, for each α ∈ [ 0 , ∞ ) {\displaystyle \alpha \in [0,\infty )} , one can define U α f ( x ) = ∫ 0 ∞ e − α t P t f ( x ) d t . {\displaystyle U^{\alpha }f(x)=\int _{0}^{\infty }e^{-\alpha t}P_{t}f(x)dt.} There is enough joint measurability to check that { U α : α ∈ ( 0 , ∞ ) } {\displaystyle \{U^{\alpha }:\alpha \in (0,\infty )\}} is a Markov resolvent on ( E , E ∗ ) {\displaystyle (E,{\mathcal {E}}^{*})} , which uniquely associated with the Markovian semigroup { P t : t ∈ [ 0 , ∞ ) } {\displaystyle \{P_{t}:t\in [0,\infty )\}} . Consequently, one may apply Fubini's theorem to see that U α f ( x ) = E x [ ∫ 0 ∞ e − α t f ( X t ) d t ] . {\displaystyle U^{\alpha }f(x)=\mathbf {E} ^{x}\left[\int _{0}^{\infty }e^{-\alpha t}f(X_{t})dt\right].} The followings are the defining properties of Borel right processes:Hypothesis Droite 1:For each probability measure μ {\displaystyle \mu } on ( E , E ) {\displaystyle (E,{\mathcal {E}})} , there exists a probability measure P μ {\displaystyle \mathbf {P} ^{\mu }} on ( Ω , F ∗ ) {\displaystyle (\Omega ,{\mathcal {F}}^{*})} such that ( X t , F t ∗ , P μ ) {\displaystyle (X_{t},{\mathcal {F}}_{t}^{*},P^{\mu })} is a Markov process with initial measure μ {\displaystyle \mu } and transition semigroup { P t : t ∈ [ 0 , ∞ ) } {\displaystyle \{P_{t}:t\in [0,\infty )\}} .Hypothesis Droite 2:Let f {\displaystyle f} be α {\displaystyle \alpha } -excessive for the resolvent on ( E , E ∗ ) {\displaystyle (E,{\mathcal {E}}^{*})} . Then, for each probability measure μ {\displaystyle \mu } on ( E , E ) {\displaystyle (E,{\mathcal {E}})} , a mapping given by t → f ( X t ) {\displaystyle t\rightarrow f(X_{t})} is P μ {\displaystyle P^{\mu }} almost surely right continuous on [ 0 , ∞ ) {\displaystyle [0,\infty )} .

Borel summability

Egorov, 1992

Boreman is an unincorporated community located in Wood County, West Virginia.

one

Boreotrophon egorovi

Boreonykus is an extinct genus of dromaeosaurid dinosaur, that lived during the Late Cretaceous in the area of present Canada.Fragmentary dromaeosaurid remains were discovered in the eighties at the Pipestone Creek site in central Alberta during excavations of a bonebed containing at least twenty-seven individuals of the ceratopsid Pachyrhinosaurus lakustai.

Boren Scholar

In descriptive set theory, the Borel determinacy theorem states that any Gale-Stewart game whose payoff set is a Borel set is determined, meaning that one of the two players will have a winning strategy for the game. It was proved by Donald A. Martin in 1975. The theorem is applied in descriptive set theory to show that Borel sets in Polish spaces have regularity properties such as the perfect set property and the property of Baire.The theorem is also known for its metamathematical properties.

Borel regular

Borel section

years ago

Zhenyuanopterus

Armand

Neptunea staphylina (Dall, 1919)

B. saida

Bott–Borel–Weil theorem

Borenore is a closed railway station on the Broken Hill railway line in New South Wales, Australia. The station opened in 1885, and the building survives largely intact and in use by the local tennis club.

Division 3 Nordöstra Götaland

In descriptive set theory, the Borel determinacy theorem states that any Gale-Stewart game whose payoff set is a Borel set is determined, meaning that one of the two players will have a winning strategy for the game. It was proved by Donald A. Martin in 1975. The theorem is applied in descriptive set theory to show that Borel sets in Polish spaces have regularity properties such as the perfect set property and the property of Baire.The theorem is also known for its metamathematical properties. In 1971, before the theorem was proved, Harvey Friedman showed that any proof of the theorem in Zermelo-Fraenkel set theory must make repeated use of the axiom of replacement. Later results showed that stronger determinacy theorems cannot be proven in Zermelo-Fraenkel set theory, although they are relatively consistent with it if certain large cardinals are consistent.

B. globulus

Boreopteridae

Early Triassic,

Lü et al., 2006

SPD

Borensberg, Sweden

Guǎngdōng Zhōngjiā Bórén Xuéxiào

Trophon dabneyi (Dautzenberg, 1889)

Boreostereum radiatum

Boreoeutherian

Boren Sino-Canadian School (BSC; simplified Chinese: 广东中加柏仁学校; traditional Chinese: 廣東中加柏仁學校) is an international school in Jiangmen, Guangdong. Founded in 1999, the school provides education for over 1,100 students representing more than 30 nationalities from Year 1 to Year 12. The school offers its students learning options that provide both a Chinese curriculum and an Ontario, Canada curriculum, allowing students to earn diplomas from both systems. It is accredited by the Ontario Secondary School Diploma (OSSD) in Canada, allowing students to receive an internationally recognized Canadian curriculum. Boren is one of the only 20 Ontario granted overseas school under the agreement with the Ministry of Education in Ontario, Canada.The campus includes full outdoors track and field, playground, and a basketball, volleyball, tennis courts.Boren Sino-Canadian School was denoted as Guangdong's top ten private middle schools in December 6, 2003. The school has gained more recognition around the province since then.

Boren in SL.PNG

B. houarti

Restoration of Boreopelta vavilovi

Paul Mallach

Dall, 1902

Boreotrophon elegantulus is a species of sea snail, a marine gastropod mollusk in the family Muricidae, the murex snails or rock snails.

Borel equivalence relation

Egorov, 1994

Popov

Brundin, 1966

Borel_subgroup

Trophon (Boreotrophon) aomoriensis (Nomura & Hatai, 1940)

In functional analysis, a branch of mathematics, the Borel functional calculus is a functional calculus (that is, an assignment of operators from commutative algebras to functions defined on their spectra), which has particularly broad scope. Thus for instance if T is an operator, applying the squaring function s → s2 to T yields the operator T2. Using the functional calculus for larger classes of functions, we can for example define rigorously the "square root" of the (negative) Laplacian operator −Δ or the exponential e i t Δ . {\displaystyle e^{it\Delta }.} The 'scope' here means the kind of function of an operator which is allowed. The Borel functional calculus is more general than the continuous functional calculus.More precisely, the Borel functional calculus allows us to apply an arbitrary Borel function to a self-adjoint operator, in a way which generalizes applying a polynomial function.

Borele

Neptunea ithitoma (Dall, 1919)

Borel s-algebra

Platonov

Borella electoral district was an electoral district of Sri Lanka between March 1960 and February 1989. The district was named after the town of Borella in Colombo District, Western Province. The 1978 Constitution of Sri Lanka introduced the proportional representation electoral system for electing members of Parliament. The existing 160 mainly single-member electoral districts were replaced with 22 multi-member electoral districts. Borella electoral district was replaced by the Colombo multi-member electoral district at the 1989 general elections.

Boreosphenida

• C'G1 for m'i a prime.

Imperial

B. avalonensis

Kijashko in Schileyko & Kijashko, 1999

Boreogomphodon jeffersoni

Borel probability measure

Boren Scholarships

Parabolic subgroup

Borel determinacy theorem

Boreostereum

Trophon disparilis (Dall, 1891)

Boreoiulus dollfusi is a species of millipede in the Blaniulidae family that can be found in Belgium, France and Spain.

Trophon clavatus (Sars, 1878)

In the mathematical theory of probability, a Borel right process, named after Émile Borel, is a particular kind of continuous-time random process.Let E {\displaystyle E} be a locally compact, separable, metric space. We denote by E {\displaystyle {\mathcal {E}}} the Borel subsets of E {\displaystyle E} .

Boren-McCurdy proposals

Boreostereum is a genus of corticioid fungi. The genus was circumscribed in 1968 by Erast Parmasto to contain the type species, which was formerly known as Stereum radiatum. Boreostereum has four species that are widely distributed in northern temperate areas. Species in the genus have a dimitic hyphal system, and the hyphae have with brown encrustations that turn greenish when potassium hydroxide is applied.

Borena Zone

B. albus

B. vibrans

B. elegantulus

The Murphey Investigation •

Blaniulus dollfusi (Brölemann, 1894)

Süderbrarup

Borel monoplane of 1912

Borenore railway station

Borella Electoral District

Home to Eastern bent-winged bats

EDT

Boreopterus giganticus

Boreotrophon dabneyi is a species of sea snail, a marine gastropod mollusk in the family Muricidae, the murex snails or rock snails.

Golikov & Kusakin, 1974

Boren (surname)

Gastropod shell of Boreotrophon alaskanus with operculum, 40.5 mm in length, trawled in 200 fathoms off the Cape of Erimo, Hokkaido Island, Japan.

Sri Lanka

Broken Hill

Sweden

Schleswig-Holstein

Borel function

auto

Boren Scholarship

China

Dall, 1908

Boreophila

The Bruce-Lovett Report •

Borena

The Boren family is a prominent American political family from Oklahoma. The family has been described as "Democratic party royalty in Oklahoma" and "a mainstay of Oklahoma and national politics."The family is one of the most notable in Oklahoma, producing Democratic politicians including Lyle Boren (1909–1992), U.S. Representative for Oklahoma's 4th district from 1937 to 1947, his son David Boren (born 1941), Governor of Oklahoma from 1975 to 1979, U.S. Senator from 1979 to 1994, and current President of the University of Oklahoma since 1994, and his grandson Dan Boren (born 1973), a Blue Dog who was the U.S. Representative for Oklahoma's 2nd district from 2005 to 2013.Lyle Boren's sister was Mae Boren Axton, notable composer who worked with Elvis Presley, Mel Tillis, Reba McEntire, Willie Nelson, Eddy Arnold, Tanya Tucker, Johnny Tillotson, and Blake Shelton. Janna Ryan, wife of the 2012 Republican vice-presidential nominee and current Speaker of the United States House of Representatives Paul Ryan, is niece by marriage of David Boren. In addition, Dan Boren's wife, Andrea, is the sister of the former quarterback of the University of Oklahoma, Josh Heupel, who won the national championship with the team in 2000.

Schleswig-Flensburg

B. alaskanus

Seaplane

The Borenore Caves, contained within the Borenore Karst Conservation Reserve, are a series of limestone caves that are located in the Central West region of New South Wales, Australia. The caves are renowned for their karst qualities, namely the numerous fossils from a long-lived reef complex from the Silurian era. Fossils include corals, crinoids, brachiopods, gastropods, pentamerids, colonial tryplasmids and trilobites.

Trophon (Boreotrophon) disparilis (Dall, 1891)

Charter Legislation •

Neptunea apolyonis (Dall, 1919)

Borena people

Borel sigma algebra

Boreostereum is a genus of corticioid fungi. The genus was circumscribed in 1968 by Erast Parmasto to contain the type species, which was formerly known as Stereum radiatum. Boreostereum has four species that are widely distributed in northern temperate areas. Species in the genus have a dimitic hyphal system, and the hyphae have with brown encrustations that turn greenish when potassium hydroxide is applied. Boreosterum vibrans produces vibralactones, chemical metabolites that inhibit various enzymes. Recent phylogenetic research indicates that Boreostereum is a sister group to the rest of the Gloeophyllales.

Borel groups

Boreopterinae

Borel subset

Boreopelta vavilovi

Borel space

Trophon alaskanus (Dall, 1902)

B. aomoriensis

B. gaidenkoi

Boreoeutherian ancestor

Major US Intelligence Reforms

Boren Fellowship

Boren Sino – Canadian School

Borel system of sets

B. mazatlanicus

B. sylvestris