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{\mathfrak {g}}} . Notably, we will explain the notion of a "dominant integral element." The representations themselves are described in the article linked

in the precise notion of "integral" in the definition of a dominant integral element. If K {\displaystyle K} is simply connected, this distinction disappears

called an analytically integral element. This integrality condition is related to, but not identical to, the notion of integral element in the setting of semisimple

introduced a variation on the popular "Scruggs style" of banjo playing (an integral element of bluegrass music) which would soon become known as melodic style

to resources beyond their local library's holdings, serving as "an integral element of collection development" for libraries. After receiving a request

an unleavened flatbread that is part of Jewish cuisine and forms an integral element of the Passover festival, during which chametz (leaven and five grains

following the demise of Stax Records, of which the M.G.'s were an integral element, in 1975. The album was dedicated to M.G.'s drummer Al Jackson, Jr

structures involving root systems needed to define the term "dominant integral element," follow the above link on weights in representation theory. Classification

every nation to improve knowledge of the maritime domain." It is an integral element of Maritime Domain Awareness (MDA). Essentially, no one country, department

of Sectorisation, its functions previously being undertaken as an integral element of British Rail in the 1980s. Initially known simply as the Parcels

prominently positioned building, along with its clock tower, remains an integral element in the Gladstone townscape. The former Gladstone Post Office is a single-storeyed

Templars, as that she sees the attack on the Knights Templar as an integral element of the relations between the administration of King Philip IV of France

the spiritual nature the sun and change. The line is regarded as an integral element within the Kôngo cosmogram. The word Kalûnga is a Kikongo word that

of San Marino (Italian: Serenissima Repubblica di San Marino) is an integral element of the economy within the microstate. The tourism sector contributes

the character formula is a key step in proving that every dominant integral element actually arises as the highest weight of some irreducible representation

in underserved areas of the population. While book donations are an integral element of the Milk + Bookies' mission, another cornerstone of their program

would also don the role of female characters. Since singing is an integral element of Maach, players are noted for their singing voice. Performances open

bridge between these two generations. Ginsberg's work also became an integral element of early 1960s hippie culture, in which he actively participated. The

is also considered a relatively permanent installation, adding an integral element to the room's design by adding color or pattern to complement the rest

doors cannot traditionally be locked. Shoji rose in popularity as an integral element of the shoin-zukuri style, which developed in the Kamakura Period (1123–1333)

significance. Dogs were their only domesticated animal, but were and are an integral element in their culture for the Athabascan population in North America. Athabascans

maximises damage through the use of hydraulics. The arm is also an integral element of Razer's winged self-righting mechanism, which rolls the robot back

being a monument, instead the city council gave it the status of "an integral element of landscaping." The bust was dismantled on 18 January 2024. Yehor

driving force with the motivation for action, which is a fundamental and integral element of the struggle for protection of human rights. This literary genre

made from tea mixed with condensed milk, and condensed milk is an integral element in Hong Kong tea culture. In the Canary Islands, it is served as the

early advocate of the use of high fidelity stereophonic sound as an integral element of radio journalism. Barron is a graduate of Los Angeles' Benjamin

rarity of function, fabric and setting in Brisbane, and remains an integral element in the historic Old Bishopsbourne (St Francis Theological College)

Shrinathji's gaushalas, which are located across Mewad and serve as an integral element of daily seva. Goswami Vishal Nathdwara was born in Mumbai, Maharashtra

for the towns of Queanbeyan and during its early history it was an integral element to its economy. Wool scouring (cleaning) was carried out in the river

floats would be made. Since then, the use of papier-mâché has become an integral element in the construction of these giant allegorical floats. In 2019, the

intactness. (2008) Sorrento Post Office, constructed in 1904–5, has been an integral element of the town's commercial district. Designed and constructed by the

in the sea and life may have started there. The seas have been an integral element for humans throughout history and culture. Humans harnessing and studying

has been described as a "systematic use of terror against towns...an integral element of Tamerlane's strategic element" which he viewed as preventing bloodshed

racists." The philosopher Cornel West has stated that "racism is an integral element within the very fabric of American culture and society. It is embedded

proportion, density, and rhythm of letterforms. The counter is an integral element in Western typography, however this concept may not apply universally

at Walsingham (Norfolk) being a good example, which, having been an integral element of the pilgrimage to the shrine of the Virgin Mary in the village,

Shaolin practiced martial arts, and that martial practice became an integral element of Shaolin monastic life. The earliest appearance of the frequently

of the war, on the Western Front in France. Concert parties were an integral element of the war effort, and by 1917, virtually every division had at least

Singapore, contributed to an air rally that has since become a regular and integral element of the overall celebrations.[citation needed] The year 2003 marked

substantial removal of wall areas. The Leongatha Post Office has been an integral element of the town's commercial district since 1907. Designed and constructed

digestif with spoon sweets or fruit after a meal. The Cretan raki is an integral element of the island’s culture, identified by many as "the national drink

show fatigue from the program, which was previously considered an integral element of national unity. Critics of United News have accused the program

described in Howard Mohr’s book How to Talk Minnesotan. Hotdish is an integral element of the book Hotdish to Die For, a collection of six culinary mystery

described in Howard Mohr’s book How to Talk Minnesotan. Hotdish is an integral element of the book Hotdish to Die For, a collection of six culinary mystery

in the contemporary neo-futurist aesthetic "the machine becomes an integral element of the creative process itself, and generates the emergence of artistic

of Europe – always including anti-European ideas in the picture. An integral element of this approach is the history of historiography on Europe. This conceptual

provision: "to provide coordinated dispensary health care services as an integral element of the Naval Regional Health Care System, including shore activities

Shaolin practice martial arts, but martial practice had become such an integral element of Shaolin monastic life that the monks felt the need to justify it

merchants and wholesalers. The steamer-towboat R.B. Forbes was an integral element in gatherings of this type. "The R. B. Forbes ... was generally on

still resides at the same location under ownership of Macy's and is an integral element of this store becoming the flagship within the chain. Der Tierbildhauer

Security Council "on the protection of Iraq's cultural heritage as an integral element for the country's security". In 2018, the International alliance for

during their late-1970s heyday. Ford's lead-guitar playing became an integral element of the band's sound until their eventual break-up in April 1979. In

(s)=q^{d}\chi (g).} Because the homothety λIn is the homomorphic image of an integral element, this proves that the complex number λ = qdχ(g)/n is an algebraic integer

around the first half of the 20th century, markets have become an integral element of pre-Christmas customs. A revival took place in the mid-1990s. Many

focusing on Latin America as Cuba and the hemisphere was seen to be an integral element of Cold War politics. The Latin American historian who wrote the early

the Croatian language in official use. The work is thought of as an integral element of the foundations of the Illyrian movement. Derkos was born in the

comma before the concluding conjunction in a series, however, if an integral element of the series requires a conjunction: I had orange juice, toast, and

of "Maxwell-Chalmers." With ZSB's six-cylinder engine design as an integral element, Maxwell-Chalmers's cars sold well, and the firm underwent rapid expansion

signal box with its garden beds and planting is also an important and integral element within the station group and is a rare example of a timber on-platform

community), tables and chairs, and our Grow Your Life series will be an integral element in these libraries. Each library/classroom will employ a teacher/librarian

architecture that demonstrate a unique ability to make daylight an integral element of buildings. Kouvola Town Hall, Kouvola (1968) (with Bertel Saario)

AFC Challenge Cup. He is good at crossing and his pace making him an integral element of the Indian squad. While India lost the match, Renedy played a vital

their existing ones. Weapon acquisition and customization is also an integral element of the game. The difficulty levels were named differently in the Western

opportunity to complete significant project work off campus is an integral element of an academic program that emphasizes the practical application of

the "qubit non linearity" criteria. Thus, Josephson junctions are an integral element of flux qubits and superconducting circuits in general. Coupling between

in a simple surround with cornice. The rear saltbox section is an integral element of its original construction. An ell has been attached to the rear

largest structure of its kind in northern Orange County, and was an integral element in the social fabric of downtown life, where people gathered for news

paintings where composition becomes as important as color. Color, being an integral element of her work, serves to enhance the representation of her art. Juan

0730587.x. PMID 10428054. Puertollano R, Alonso MA (Oct 1999). "MAL, an integral element of the apical sorting machinery, is an itinerant protein that cycles

common good [...] is committed to the state; that religious truth is an integral element of this good; and that the state's total care for the common good thus

aspects of Trecartin's work is his emphasis on collaboration as an integral element of creative process. Lizzie Fitch explains that since their early days

but remained a constant in the months and years that followed – an integral element in a movement whose goal was an ethnically pure Great Serbia inhabited

schools, "Thoughts on the method to be followed in making gymnastics an integral element in popular education." The steps therein advocated were taken, in part

starring Laurence Fishburne, which he directed and produced for HBO. An integral element of Stevens' work on the Kennedy Centers Honors shows since 2003 has

parallel twin engine, the biggest then available in a Honda, was an integral element of the bike's structure, providing stiffness in a frame that had no

banking. With the proliferation of globalization, banks have become an integral element in the economy and the banks of Nirjuli are no exception to this. In

across the entire world. The Space Force's GPS system has become an integral element of the global information infrastructure, being used in virtually all

which was a north-south oriented street in Roman cities considered an integral element of city planning and city life. Cardus has its roots in a charity established

improvisations, with no rehearsals. This approach to writing was an integral element to the whole project, and in many ways it was the reason for the collaboration

Press wrote that the album "finds Mary Rowell’s violin emerging as an integral element in the Silos’ sound." The Chicago Reader thought that "there's a sober

significance attached to these pipelines stems from their association as an integral element with the Upper Nepean Scheme, Sydney's first reliable water supply

the early 1970s as an African-American painter situated him as an integral element of the mainstream and African-American art. Thomas Sills perceived

architecture that demonstrate a unique ability to make daylight an integral element of his buildings. Russell Foster, neuroscientist from United Kingdom

convex body K{\displaystyle K} and dS{\displaystyle dS} a surface integral element, H{\displaystyle H} is the mean curvature at the corresponding position

Shaolin practice martial arts, but martial practice had become such an integral element of Shaolin monastic life that the monks felt the need to justify it

blue shield. A crown of the type now known as antique Irish forms an integral element of a thirteenth-century crozier head found near Cormac's Chapel on

including other people's clothing. The conjunction of various media is an integral element of his art. His paintings are typically covered with codes of all kinds:

of the basin's resources. The Murray–Darling Basin Authority is an integral element of the Australian Government's program Water for the Future which has

needed] proclaimed the equality of man and woman. He included it as an integral element of the social order he envisioned. He supported it by laws requiring

prominent public personage and landowner in the area and hence an integral element in the feudal system. The abbey was responsible for organizing a shipsoke

prominent public personage and landowner in the area and hence an integral element in the feudal system. The abbey was responsible for organizing a shipsoke

it is demonstrated that federal authority over these matters is an integral element of such federal competence. Thus, the regulation of wages to be paid

has been described as a "systematic use of terror against towns...an integral element of Tamerlane's strategic element", which he viewed as preventing bloodshed

For him, the way light shifts over the surface of the carvings is an integral element of his contemporary aesthetic, as Roy Arden also noted. The activation

Sandgate, of particular note for its unusual clocktower, and as an integral element of the precinct including the Post Office and Sandgate War Memorial

Unix. In the late 70s, Tim Berners-Lee sourced TCP/IP software, an integral element of the World Wide Web, from the University of Wollongong. In 1981,

Figes also asserts that the Red Terror "erupted from below. It was an integral element of the social revolution from the start. The Bolsheviks encouraged

functioning as merely a linking device and becomes, in "Cum mortuis", an integral element of the movement itself. The theme reaches its apotheosis in the suite's

Scotland, founding King's College, Aberdeen. King's College now forms an integral element of the University of Aberdeen. Alexander VI also, in 1501, approved

district Balsan, an eco-district of the town. The site remained a integral element of the city and prominent site of community life. In 1987, the clothing

and equitable societies and responsible environmental policies as an integral element of sustainable development. In Summer 2003 Honduras sent around 370

with our Source, and to lead lives full of true satisfaction." An integral element of Sri Chinmoy's teachings is the understanding of 'self-transcendence'

religious groups. Philosopher Cornel West has argued that "racism is an integral element within the very fabric of American culture and society. It is embedded

to Rickards, it is more accurate to conceptualize the music as an "integral element of the drama" rather than "incidental" to it. Unlike with his other

Retrieved June 20, 2019. Christian Zionism was never a fundamental or integral element in evangelical thinking. It was a peripheral movement which grew among

Sullivan has, however, agreed with Benedict's assertion that reason is an integral element of faith. Sullivan takes a moderate approach to religion, rejecting

1980s. The park features a water sculpture and a community center. An integral element of the park is the Stone of Hope monument, unveiled in January 1996

and Marian papal encyclicals and Apostolic Letters. Art has been an integral element of Catholic identity since Late antiquity. Medieval Catholicism cherished

cooperative responses. Clark mentioned that the element of music is an integral element of the novella and the tradition. He emphasizes the importance of the

also involved the spread of New York City-style graffiti – another integral element of US hip hop culture — to London and other UK inner-city areas, both

Hill townscape and the skyline along St Pauls Terrace. It remains an integral element in a cohesive ecclesiastical precinct formed with the adjoining church

According to Carver Center's website, "The senior management project is an integral element of the instructional process allowing for the application of competencies

Gothic Revival in mid-19th century American architecture, and 3) as an integral element of one of Baltimore's finest urban parks, Lafayette Square." After

time that the Constitution was written and is (in principle) thus an integral element of trial by jury. Unlike in the Australian states, an accused person

of g {\displaystyle {\mathfrak {g}}} corresponding to the dominant integral element λ {\displaystyle \lambda } . Let ( λ ) := ( λ 1 , ⋯ , λ N ) {\displaystyle

everything feels imbued with reverence and wonder." Driving is an integral element to how Hatleberg creates his work and he frequently discusses this

detected in his leg in 2011. He never denied his homosexuality, an integral element to understanding his work. Claveles automáticos (Harakiri ediciones

Dark granite tiles cover the floors of both areas. Public art is an integral element of both the interior and exterior of the building. A large mural titled

the concrete ramp. Proximity to the ramp indicates the wall is an integral element of the original station construction. A "path" or bed for the concrete

the Lady Lamington Nurses' Home to the main Hospital complex is an integral element of the site. The hospital grounds have two distinct garden styles -

the early 13th century. The Palaiokastro fortress built later is an integral element of the fortifications of Candia and was built when it became clear

Transitional Justice (ICTJ) and the international Task Force on Justice, an integral element of the Sustainable Development Goals (SDGs) includes the reduction

the Ecumenical Masters, the Christian faith was consolidated as an integral element of the legal training. Two professors from the law school of Beirut

architecture. Pierre Soulages' stained-glass windows are nowadays an integral element of Conques architecture, history and its collective memory "in accordance

main role being similar to that of the Soviet tank armies - to be an integral element of the exploitation elements of the Soviet fronts that would be committed

Spiritual Philosophical Academy, Put (The Way). The latter became "an integral element" of the company's output. One of the first books to actually carry

large-scale and complex domestic terrorist threats. It operates as an integral element of the Dienst Speciale Interventies (DSI) of the National Police. The

of the Guards. However, recognizing parachute qualification as an integral element of special operations, the unit was transferred to the Parachute Regiment

Catholic faith and upbringing in southern Brooklyn parishes are an integral element of his writing. Catholic images such as statuary abound. New Orleans

aesthetic contribution to the South Brisbane townscape, and is an integral element in the historic precinct centred around South Brisbane Memorial Park

because of its aesthetic significance. The Custom House Hotel is an integral element of the Wharf Street streetscape, and is of value for its aesthetic

Rozelle Hospital are of historic significance on a national level as an integral element of the first hospital for the insane which was designed based on moral

azure, is an allusion to water, and the Caribbean Sea which forms an integral element of the department, it also alludes to its hydrological diversity, as

"Turks". The dominant view in Greece considers Orthodox Christianity an integral element of the Hellenic heritage, as part of its Byzantine past. Thus, official

expression cannot be the subject of copyright) " that merger doctrine in an integral element of the copyright regime. In Canada the Delrina cases support the existence

have been determined to have unconscious cognitive functions as an integral element. They include, among others: language acquisition, sport and motor

in coherent superpositions and they can be entangled, which is an integral element of schemes for quantum information protocols. Photon pairs generated

honours in Canada and the orders, decorations, and medals form "an integral element of the Crown." Hence, the insignia and medallions for these awards

fields that were in demand. The new legislation would prove to be an integral element in attracting large numbers of immigrants from sources that were considered

fields that were in demand. The new legislation would prove to be an integral element in attracting large numbers of immigrants from sources that were considered

Chinese Garden The artificial mountain (jiashan) or rock garden is an integral element of Chinese classical gardens. The mountain peak was a symbol of virtue

expansion of telegraphic communication on the peninsula was also an integral element of Brisbane's administrative control of far north Queensland and of

settlements that occurred in the 1990s, thus turning the settlements into an integral element of Israel's tactical control over and surveillance of Palestinians

wool industry during the boom of the 1950s. Paddy's Market remains an integral element of the most cohesive group of woolstores in Australia, illustrating

theorem of the highest weight, namely showing that every dominant integral element actually arises as the highest weight of a finite-dimensional irreducible

in the 1880s and 1890s. The South Brisbane Railway Easement is an integral element in the historic precinct centred on the South Brisbane Memorial Park

rise to an issue under Article 8 as such information constitutes an “integral element of the communications made by telephone” (see Malone v. the United

in 1993 at the age of 94. Gardens have always been an important and integral element at Carl Street Studios. From the beginning of the art studio project

Communist regimes in the twentieth century to embed atheism as an integral element of national policy. The Russian Orthodox Church was suppressed by the

unwritten agreements without hard legal force, but they remain an integral element of the constitution. Elements such as the leader of the party with

distinctive areas of the natural environment. Preservation is now an integral element of urban planning and design. Three trends led to popular support of

mouldings, and coloured tiles. The Breakfast Creek Hotel survives as an integral element in a grouping of culturally significant places at the junction of Breakfast

women's cultural resources and knowledge systems in South Asia as an integral element in Gender Studies. She has also been involved with three research-based

discordant and distant despite loving each other. Silence is also an integral element in the film, as it sparks misunderstandings and incidents. Wen is a

simulations with high fidelity mannequins, for example, have become an integral element in many health care curricula. A recent systematic review found evidence

and both groups have indicated that they regard bilingualism as an integral element of the Canadian national identity. Once again, however, there is a

second half of the 19th and early 20th centuries. The place is an integral element in a group of historic buildings along the road leading to Cleveland

shui philosophy that the Tiejia Taoist Ecology Temple is built as an integral element of its surroundings and the natural environment. Going by the rules

recommended action. Perceived treatment efficacy is possibly the most integral element of an effectively persuasive fear appeal, and more predictive of action

but remained a constant in the months and years that followed – an integral element in a movement whose goal was an ethnically pure Great Serbia inhabited

other parks and reserves under Council jurisdiction. Bowen Park is an integral element within an historic precinct situated around York's Hollow and along

well as constant replacement and maintenance of prosthesis, is an integral element of stopping disease establishment. Funke G, von Graevenitz A, Clarridge

For children to reach their full potential, adequate nutrition is an integral element. The rapid growth especially in the first six months to one year requires

over the southeast corner of the present Whepstead grounds, and is an integral element of the garden setting. Whepstead and its surviving grounds is a prominent

expansion of telegraphic communication on the peninsula was also an integral element of Brisbane's administrative control of Far North Queensland and of

Therefore, it is vital that development communication should be an integral element in the formulation of national policies so as to utilize its full potential

elsewhere in the Washington, D.C. area.[citation needed] Music is an integral element of Bet Mishpachah, and its choir, Tach'shitim (Jewels), originally

religious groups. Philosopher Cornel West has stated that "racism is an integral element within the very fabric of American culture and society. It is embedded

historical figure known for his martyrdom, Jesus's character is an integral element in the play's confrontation of racial identity and sacrifice. This

the interwar period. The former Victoria Park Golf Clubhouse is an integral element within an historic precinct situated around York's Hollow and along

Television and Broadcasting. The status of the Ukrainian language is an integral element of the constitutional order of Ukraine as an Unitary state (art. 1

Taylor-Pearce, Lara (2015). "Auditing the funds donated to fight Ebola: An integral element in the fight against the virus" (PDF). International Journal of Government

hundreds of thousands of hungry, tired and embittered... This was an integral element of Bolshevik agitation, although it was not their official program

significant contribution to the streetscape. Wagga Wagga Courthouse is an integral element of the town's civic precinct. The scale and quality of the courthouse

sea, and there are a number of others in which the sea figures as an integral element in the poem. This stems from the composer"s extreme fascination with

class of unrecognized entrepreneurs because they create a vital and integral element of the urban ecosystem. In the Bay Area, these drivers are redefining

against militarisation and the anticipated international war was an integral element in the fight for women's right. That became the position taken by Frida

family (pastoralists, business persons and politicians) and became an integral element in a chain of Queensland pastoral properties acquired by them and their

government expanded its provision of technical education to form an integral element of their program. Cairns Technical High School began teaching students

born in England but is of Scottish descent, which quickly became an integral element of his work. Much of his work revolves around his longtime fascinations

often a mini-version of the house. By the mid-1920s, garages were an integral element of the house, possibly owing to the improved safety of internal combustion

to Manly Wharf. The North Head Quarantine Station Study Area is an integral element of the North Head peninsula. The Aboriginal and Natural values of the

Kirsten. In the last seconds, her birdcage element, which was the most integral element, collapsed during plating, forcing her to serve the chocolate and passionfruit

Theatre Iltz, as before, attached very great importance to dance as an integral element in musical theatre. He again engaged Yvonne Georgi, whom he had previous

and Toledo Cathedral and Burgos Cathedral in Spain. Sculpture was an integral element of Gothic architecture. It followed upon and expanded the use of sculpture

supply infrastructure. Reservoir No. 2 is of state significance as an integral element of the Chichester water supply scheme, upon which depended much of

chapel (St.Augustine's) built in 1838. The house was and remains an integral element in a landscaped setting (with the chapel off to its eastern side) which

heritage. In its form, layout and materials, the ore transfer stage, an integral element in the operation of the complex, is rare as the only known historic

conceptions of nationhood." Cultural nationalism has historically been an integral element of American nationalism. Such cultural nationalists form group allegiances

serves as a symbolic representation of the fluttering of the “cape”, an integral element of the old academic attires, now used solely by the students of the