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Two closely related series in number theory
number theory, the ruler function of an integer n {\displaystyle n} can be either of two closely related functions. One of these functions counts the number
Ruler_function
Function that is discontinuous at rationals and continuous at irrationals
names: the popcorn function, the raindrop function, the countable cloud function, the modified Dirichlet function, the ruler function (not to be confused
Thomae's_function
Mathematical fractal pattern
each letter with their respective numbers yields the ruler function. Sierpinski triangle: ABACABA Ruler, excluding 1 and 2: ABACABADABACABA excluding 2: EABACABADABACABA
ABACABA_pattern
Head of the Emirate of Dubai
The ruler of Dubai (Arabic: حاكم دبي) is the position of the hereditary monarch and head of government of the Emirate of Dubai. The Ruler is also considered
Ruler_of_Dubai
Functions of an angle
mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of
Trigonometric_functions
Set of marks along a ruler such that no two pairs of marks are the same distance apart
In mathematics, a Golomb ruler is a set of marks at integer positions along a ruler such that no two pairs of marks are the same distance apart. The number
Golomb_ruler
Arithmetical function
the Kempner function. Therefore, computing the Kempner function can in general be no easier than factoring composite numbers. Ruler function, a simpler
Kempner_function
Mathematical puzzle game
1, ... (sequence A001511 in the OEIS), a sequence also known as the ruler function, or one more than the power of 2 within the move number. In the Wolfram
Tower_of_Hanoi
Head of state
Special Court, he is required to stop exercising the functions of a ruler. In the event of a ruler being sentenced to imprisonment for more than one day
King_of_Malaysia
Leader of the anti-Bolshevik White Movement during the Russian Civil War
existence, and the only one to officially adopt the titles and functions of the Supreme Ruler, was Admiral Alexander Kolchak, who was elected to the position
Supreme_Ruler_of_Russia
Council of Malaysian Rulers
Conference of Rulers (also known as Council of Rulers or Durbar, Malay: Majlis Raja-Raja; Jawi: مجليس راج٢) is a council comprising the nine rulers of the Malay
Conference_of_Rulers
Theory by Vilfredo Pareto
occur not when rulers are overthrown from below, but when one elite replaces another. In such transformations, ordinary people function not as initiators
Circulation_of_elites
Word meaning "ruler" in the Yoruba language
with Yoruba rulership. The title was also associated with the earliest rulers like Obatala. The Yoruba chieftaincy system can be divided into four separate
Oba_(ruler)
Number of partitions of an integer
In number theory, the partition function p(n) represents the number of possible partitions of a non-negative integer n. For instance, p(4) = 5 because
Partition function (number theory)
Partition_function_(number_theory)
State in Mesopotamia (c. 2334–2154 BC)
These developments gradually led to a shift in the conception of the ruler’s function. Previously confined to the framework of the city-state, the king’s
Akkadian_Empire
Swiss software company
compatibility; scene merging in the Editor; AutoCAD integration; 2D Map and Ruler functions in the Viewer and Editor; a WebGL Viewer for web use; and the option
Revizto
and trees by adjusting the altitude of a Polygon in 3D, or use the Ruler function to measure the height of an object in a 3D path in Google Earth Pro
Tree_height_measurement
Castrated male human
where physical access to the ruler could wield great influence. Seemingly lowly domestic functions—such as making the ruler's bed, bathing him, cutting his
Eunuch
Rulers of the Duchy- and Kingdom of Bohemia
1126, when his father died, he was too young to assume power. The rulers appointed by Sobeslaus I in the period 1126–40 could be functioning as regents.
List_of_Bohemian_monarchs
Society of Japan from 1603 to 1868
the official ruler of Japan at the very top of the Tokugawa class hierarchy. However, the Emperor was only a de jure ruler, functioning as a figurehead
Edo_society
Ruler of a Mesoamerican āltepētl (city-state)
Tlacopan. Each āltepētl had its own tlahtoāni who would concurrently function as its ruler, high priest and commander-in-chief. The tlahtoāni wielded ultimate
Tlatoani
Mathematical functions
In mathematics, the lemniscate elliptic functions are elliptic functions related to the arc length of the lemniscate of Bernoulli. They were first studied
Lemniscate_elliptic_functions
Abstract ruler in which some of the distance marks may be missing
A sparse ruler is a ruler in which some of the distance marks may be missing. More abstractly, a sparse ruler of length L {\displaystyle L} with m {\displaystyle
Sparse_ruler
reduced to a nominal ruler. Their power rapidly dwindled during the 19th century and later Peshwas also were reduced to nominal ruler under various Maratha
List_of_Maratha_rulers
Meeting of noblemen and princes in pre-20th-century India
of a king or ruler or a formal meeting where the king held all discussions regarding the state. It was used in South Asia for a ruler's court or feudal
Durbar_(court)
Pharaoh's duties in the Ancient Egypt
The functions of the Pharaoh are the various religious and governmental activities performed by the king of Egypt during Antiquity (between the years
Functions_of_the_Pharaoh
4th-century BCE Syncretic philosophy text
and his disciple Zixia, "Kong Zi said: 'Zixia, do you know how rulers function as rulers?' Zixia replied: '(If) fish lose the water (they are in), then
Shizi_(book)
Theories about a de facto leadership in Iran
Minister Benjamin Netanyahu and the IDF said that Larijani was the real ruler of Iran and that he was part of a gang that ruled Iran. Reportedly, the
2025–2026 Iranian de facto leadership speculations
2025–2026_Iranian_de_facto_leadership_speculations
Sex toy
Kammerer-Doak, Dorothy; Rogers, Rebecca G. (June 2008). "Female Sexual Function and Dysfunction". Obstetrics and Gynecology Clinics of North America. 35
G-spot_vibrator
Pro Dutch militia in Indonesia
The Legion of the Just Ruler (Dutch: Legioen van de Rechtvaardige Vorst, Indonesian: Angkatan Perang Ratu Adil; APRA) or the Legion of Ratu Adil was a
Legion_of_the_Just_Ruler
the ruler Boris I (852–889) was using the title knyaz (prince). For much of its later history under the first and second empires, Bulgaria functioned as
List_of_Bulgarian_monarchs
Maharaja of Jammu and Kashmir from 1925 to 1952
final days in Bombay, he died on 26 April 1961. Singh was a controversial ruler. He faced an agitation in Kashmir in 1931 and successful rebellions in Poonch
Hari_Singh
Visual artifact that depicts or records perception
It may represent an abstract concept, such as the political power of a ruler or ruling class, a practical or moral lesson, an object for spiritual or
Image
Former princely state of British India and Pakistan
seven rulers of the Rais period may be a recent invention, as there is no mention of them in any known source or oral tradition. The last three rulers are
Kingdom_of_Chitral
Princess of Kiev, Orthodox saint (c. 890–925)
Christianity and made it the state religion, she was the first Rurikid ruler to be baptized. Olga is venerated as a saint in the Eastern Orthodox Church
Olga_of_Kiev
Indian vassal states under the British Raj
all powers would be transferred to the people and he would function as a constitutional Ruler. Although this process successfully integrated the vast majority
Princely_state
This is a list of rulers of Bengal. For much of its history, Bengal was split up into several independent kingdoms, completely unifying only several times
List_of_rulers_of_Bengal
American research psychologist
The acronym RULER refers to the five key emotion skills of Recognizing, Understanding, Labeling, Expressing, and Regulating emotions. RULER intends to
Marc_Brackett
Countries in Asia which are monarchies
and Ruler of Abu Dhabi Sheikh Mohammed bin Rashid, Vice President and Prime Minister of the UAE and Ruler of Dubai Sheikh Sultan bin Muhammad, Ruler of
Monarchies_in_Asia
Concept in Chinese philosophy favouring inaction
functions of government". Xun Kuang's Xunzi, a Confucian adaptation to Qin Legalism, defines the ruler in much the same sense, saying that the ruler "need
Wu_wei
Cylindrical conformal map projection
non-secant projection). Therefore, interpreting ruler measurements on the equator is: True distance = ruler distance / RF (equator) For the above model
Mercator_projection
Archaeological site in Sindh, Pakistan
13 mm (0.005 in). A ruler found at Lothal (2400 BCE) is calibrated to about 1.6 mm (1⁄16 in). The decimal subdivision on the ruler is noteworthy, as it
Mohenjo-daro
spiritual leader of the Eternals, who possesses healing abilities and functions as the "bridge" between the Eternals and the Celestial Arishem. Based
Characters of the Marvel Cinematic Universe: A–L
Characters_of_the_Marvel_Cinematic_Universe:_A–L
Queen of England, Scotland, and Ireland from 1689 to 1694
powerful, firm, and effective ruler. Mary's early death from smallpox in 1694 at the age of 32 left William as sole ruler until his death in 1702, when
Mary_II
Form of governance
Patrimonialism is a form of governance in which the ruler governs on the basis of personal loyalties which are derived from patron-client relations, personal
Patrimonialism
Division of Herod the Great's kingdom
Antipas ruled Galilee and Perea until 39 CE. The last notable Herodian ruler with some level of independence was King Herod Agrippa I. He was given the
Herodian_tetrarchy
30–375 CE empire in Central and South Asia
invasions of the Kidarites. The earliest documented ruler, and the first one to proclaim himself as a Kushan ruler, was Heraios. He calls himself a "tyrant" in
Kushan_Empire
Nubian king
Meroe, are the only known records of the ruler. Also significant is the gold cylinder discovered with the ruler in this pyramid, not unlike those found
Amaninatakilebte
Hypothetical wise ruler described by Plato
The philosopher king is a hypothetical ruler in whom political skill is combined with philosophical knowledge. The concept of a city-state ruled by philosophers
Philosopher_king
King of Norway from 1046 to 1066
co-rule ended abruptly the next year as Magnus died: Harald became the sole ruler of Norway. Domestically, Harald crushed opposition, and outlined the unification
Harald_Hardrada
Intelligence in machines
tendency to classify images with a ruler as "cancerous", because pictures of malignancies typically include a ruler to show the scale. Another machine
Artificial_intelligence
Administration of Occupied Poland during WWII
of Reichskommissariat Niederlande in May 1940, State Secretary Bühler functioned as Frank's deputy. Several other individuals had powers to issue legislative
General Government administration
General_Government_administration
Video-sharing platform
content that may ignite social or political unrest. Preventing criticism of a ruler (e.g. in North Korea), government (e.g. in China) or its actions (e.g. in
YouTube
Official in the Kingdom of Mosquitia
coast of Central America, included several high-ranking hereditary regional rulers appointed or recognized by the Miskito king: Governor, General, and Admiral
Miskito_regional_rulers
Character from Arabian Nights
suspense, and thematic selection, she gradually transforms Shahryar from a ruler driven by vengeance and misogyny into a just and stable king. Her role establishes
Scheherazade
Indian ruler of Kittur (1778-1829)
died as a prisoner after a second war. As one of the first and few female rulers to lead kittur forces against British colonisation, she continues to be
Kittur_Chennamma
Country in South Asia
environmental historians see Ashoka as an early embodiment of that ethos. No ruler of this period was able to create an empire and consistently control lands
India
Highest constitutional authority in the UAE
general. Any other functions stipulated in this Constitution or federal laws. The Federal Supreme Council consists of the rulers of the seven emirates:
Federal_Supreme_Council
Title of Ancient Egyptian rulers
The earliest confirmed instance of the title used contemporaneously for a ruler is a letter to Akhenaten (reigned c. 1353–1336 BCE), possibly preceded by
Pharaoh
Island country in Southeast Asia
Historical sources also indicate that around the end of the 14th century, its ruler Parameswara was attacked by either the Majapahit or the Siamese, forcing
Singapore
Indian princely title
Maharaja (also spelled Maharajah or Maharaj; lit. 'great ruler'; feminine: Maharani or Maharajin) is a royal title in the Indian subcontinent of Sanskrit
Maharaja
Country in Central Europe
process of establishing statehood coincided with the conversion of a pagan ruler of the Polans to Christianity in 966 under the auspices of the Catholic
Poland
Former empire (c. 1299–1922)
in northern Hungary. After further advances by the Turks, the Habsburg ruler Ferdinand officially recognised Ottoman ascendancy in Hungary in 1547. Suleiman
Ottoman_Empire
Roman emperor from 198 to 217
Septimius Severus and Empress Julia Domna. Severus proclaimed Caracalla co-ruler in 198, doing the same with his other son Geta in 209. The two brothers
Caracalla
Country in East Asia
says the four goals of the Chinese revolution were "to expel the Manchu rulers, to revive Chunghwa, to establish a Republic, and to distribute land equally
Taiwan
Emperor of Russia from 1894 to 1917
view among historians is that Nicholas was a well-intentioned yet poor ruler who proved incapable of handling the challenges facing his nation. He and
Nicholas_II
Central deity in Aztec religion
cut at the cross-section and was likely worn as a necklace by religious rulers, as such objects have been discovered in burials in archaeological sites
Quetzalcōātl
Country in Southeastern Europe and West Asia
languages", forming the Anatolian sub-group. Hattian rulers were gradually replaced by Hittite rulers. The Hittite kingdom was a large kingdom in Central
Turkey
Eighteenth Dynasty Egyptian pharaoh
ancient Egyptian pharaoh reigning c. 1353–1336 or 1351–1334 BC, the tenth ruler of the Eighteenth Dynasty. Originally named Amenhotep IV (Ancient Egyptian:
Akhenaten
Divine beings associated with death
aspects of human life, it is common to have a deity who is assigned the function of presiding over death. This deity may perform the act of taking life
List_of_death_deities
Form of song
synthesis of Roman and Gallican chants, and was commissioned by the Carolingian rulers in France. Andreas Pfisterer and Peter Jeffery have shown that older melodic
Gregorian_chant
Aspect of Philippine history
The term Paramount Ruler, or sometimes Paramount Datu, is a term used by historians[who?] to describe the highest ranking political authorities in the
Paramount rulers in early Philippine history
Paramount_rulers_in_early_Philippine_history
Rulers of loose chiefdoms in pre-Spanish Colombia
Muisca rulers were so-called "aggrandizers", that is charismatic leaders at the head of various factions, who forged alliances and relations of subordination
Muisca_rulers
Greek term for a ruler
romanized: árchōn, plural: ἄρχοντες, árchontes) is a Greek word that means "ruler", frequently used as the title of a specific public office. It is the masculine
Archon
American painter, sculptor (born 1981)
outdoor exhibition at Storm King Art Center. Her large, painted wooden rulers function as both art object and perceptual tool, emphasizing the human labor
Josephine_Halvorson
Country in Eurasia from 1922 to 1991
struggle saw Joseph Stalin emerge as the country's undisputed personalist ruler. He initiated rapid industrialization and forced collectivization that led
Soviet_Union
Dutch philosopher and theologian (c. 1466–1536)
— Erasmus[citation needed] Erasmus also put it that the mind (anima) should act a ruler over the body (corpus) and the spirit, which he used to provide political
Erasmus
thinking machines as a human trustee, his primary function being to deliver updates of the thinking machine ruler, the evermind Omnius, to machine-controlled
List_of_Dune_characters
27 BC–476/1453 AD state and civilization
vote of the Senate. The Roman imperial cult, influenced by Hellenistic ruler cult, became one of the major ways Rome advertised its presence in the provinces
Roman_Empire
Florentine statesman, diplomat, and political theorist (1469–1527)
most famous work, The Prince. In the treatise, Machiavelli stated that rulers will have to take on unsavory policies in the furtherance of their political
Niccolò_Machiavelli
Observation in physical cosmology
measuring universe's expansion – Neutron star mergers can provide new 'cosmic ruler'". EurekAlert!. Archived from the original on 8 July 2019. Retrieved 8 July
Hubble's_law
Dynasty from southern India
historic Ay rulers. The Ay kingdom, whose ancient rulers could, at that time, be considered among the several "political chiefs", functioned as a buffer
Ay_dynasty
Range of Indian religious traditions
recognise only one Supreme Being, a God or Goddess who is the source and ruler of the devas." Bassuk, Daniel E (1987). Incarnation in Hinduism and Christianity:
Hinduism
Christian church based in Rome
heretical, causing discord between Germanic rulers and Catholic subjects. In 497, Clovis I, the Frankish ruler, converted to orthodox Catholicism and he
Catholic_Church
Primary antagonist in Tolkien's "The Lord of the Rings"
would not overshadow other characters. Afterwards, he would be allowed to function like other classic TV villains (such as Walter White or Tony Soprano),
Sauron
with the Odd Job the functions of scribing, squaring, level/plumb, and the sliding and locking ruler (originally a 12 inch wooden ruler with a built-in trammel
Stanley_Odd_Jobs
Country in Europe
Kingdom of Germany and the Holy Roman Empire emerged from it. The Ottonian rulers (919–1024) consolidated several major duchies. In 996, Gregory V became
Germany
16th-century movement in Western Christianity
revelations from God, and proclaimed himself "king of righteousness" and "the ruler of the new Zion". Church and state were united, and all sinners were executed
Reformation
Indian surname
from Karnataka Kempe Gowda I (1510–1569), Founder of Bengaluru & feudatory ruler of the Vijayanagara Empire. Venkate Gopala Gowda (born 1951), Indian Supreme
Gowda_(surname)
1945–1949 Indonesian conflict and diplomatic struggle against Dutch rule
changed ethnic castes as well as reducing the power of many of the local rulers (raja). It did not significantly improve the economic or political fortunes
Indonesian National Revolution
Indonesian_National_Revolution
Pyramid structure in Mexico
of another pyramid layer over the existing one. The passing of several rulers, and rapid changes in ideologies, led to the Pyramid of the Moon's exponential
Pyramid_of_the_Moon
Emperor of Ethiopia from 1930 to 1974
of Shewa; however, at the last moment opposition from certain provincial rulers caused a change and his title Negus or "King" was conferred without geographical
Haile_Selassie
China entered the 20th century under the Manchu-led Qing dynasty, whose rulers favored traditional Chinese religions and participated in public religious
Religion_in_China
Number associated with the Beast of Revelation
by including the sun's rays in the ruler's portrait). It had become increasingly difficult for Christians to function in a world in which public life, including
Number_of_the_beast
self-coup, a ruler who came to power through legal means may try to stay in power through illegal means, thus preventing the next legal ruler from taking
List of coups and coup attempts
List_of_coups_and_coup_attempts
Governor of Malacca
governor at the state level – like the other rulers of states. The governor, however, has no power and function towards the judiciary. As he is the head of
Yang di-Pertua Negeri of Malacca
Yang_di-Pertua_Negeri_of_Malacca
Country in West Asia
letter sent by the Islamic prophet Muhammad to the rulers of Oman in 630 CE. This led to a group of rulers travelling to Medina, converting to Islam, and
United_Arab_Emirates
Last pre-Islamic Iranian empire (224–651 AD)
sparking a new phase of the Roman–Iranian Wars. These efforts by Sasanian rulers ultimately led to the re-establishment of Iran as a major power of late
Sasanian_Empire
Country in Eastern Europe and Central Asia
ultimately forcing Tokhtamysh from the throne in 1395–1396. After Tokhtamysh, no ruler achieved authority over the entire Ulus of Jochi, and the Golden Horde began
Kazakhstan
Ethnoreligious group of the Levant
on to become Ottoman Ambassador to India. Fakhr-al-Din II was the first ruler in modern Lebanon to open the doors of his country to foreign Western influences
Druze
travel, tourism, insurance
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