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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
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
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
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 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
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
Head of state of Malaysia
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
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
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
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
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
Word meaning "ruler" in the Yoruba language
Nigeria, and Togo, are those with obas who generally wear beaded crowns; the rulers of many of the 'second generation' settlements are also often obas. Those
Oba_(ruler)
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
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
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)
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)
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
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
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
Fluctuations in the density of the normal matter of the universe
systematics. The BAO signal is a standard ruler such that the length of the sound horizon can be measured as a function of cosmic time. This measures two cosmological
Baryon_acoustic_oscillations
Fictional comic book character
ambush of the Boys, and the takeover of the White House via idiotic puppet ruler U.S. Vice President Vic the Veep. In the Amazon Prime Video streaming television
The_Guy_from_Vought
Pharaoh's duties in the Ancient Egypt
Thutmesis to his newly promoted vizier. The ruler is fully aware of the unpleasantness of the vizier's function. The official must always satisfy his master
Functions_of_the_Pharaoh
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
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
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
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
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
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
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 which ruled Iran. Reportedly the
2025–2026 Iranian de facto leadership speculations
2025–2026_Iranian_de_facto_leadership_speculations
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
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
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
Indian regnal 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
Egyptian pharaoh of the late 18th Dynasty (14th century BCE)
It is speculated that he was the power behind the throne during child ruler Tutankhamun's reign, although there is no evidence for this aside from Tutankhamun's
Ay_(pharaoh)
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
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)
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
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
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
List of characters appearing in the Marvel Cinematic Universe
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
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
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
Country in Eurasia from 1922 to 1991
University Press. p. 469. ISBN 978-0-674-00473-3. Geoffrey A. Hosking (2006). Rulers and victims: the Russians in the Soviet Union. Harvard University Press
Soviet_Union
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)
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
Northwest Semitic supreme deity
1350 BCE in one of the Amarna Letters EA333, found in Tell-el-Hesi from the ruler of Lachish to 'The Great One' A Phoenician inscribed amulet of the 7th century BCE
El_(deity)
Turkish 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
Country in West Asia
the control of a local Arab ruler known as the Sharif of Mecca, but at most times the Sharif owed allegiance to the ruler of one of the major Islamic
Saudi_Arabia
1438–1533 empire in South America
individuals, groups, and Inca rulers. "Taxes" consisted of a labour obligation of a person to the Empire. The Inca rulers (who theoretically owned all
Inca_Empire
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
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
Internal organ in the male reproductive system
(an orchidometer) of known sizes. Another method is to use calipers, a ruler, or an ultrasound image to obtain the three measurements of the x, y, and
Testicle
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
Subdivision of the United Arab Emirates
States. Each emirate maintains its own sovereignty over its territory and functions in parallel with the federal government of the United Arab Emirates as
Emirates of the United Arab Emirates
Emirates_of_the_United_Arab_Emirates
Hellenistic state in West Asia (312–63 BC)
kingdom (βασιλεία, basileía). Similarly, Seleucid rulers were described as kings in Babylonia. The rulers did not describe themselves as being of any particular
Seleucid_Empire
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
1947–1991 geopolitical rivalry between US and USSR
superfluous. Although nominally a defensive alliance, the Warsaw Pact's primary function was to safeguard Soviet hegemony over its Eastern European satellites,
Cold_War
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
King of England from 1509 to 1547
accomplished king. He has been described as "one of the most charismatic rulers to sit on the English throne" and his reign described as the "most important"
Henry_VIII
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
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
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
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
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
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
The following is a list of rulers during the history of Bavaria. Bavaria was ruled by several dukes and kings, partitioned and reunited, under several
List_of_rulers_of_Bavaria
of state Portale Storia (in Italian)—a list of current rulers by country Rulers—a list of rulers throughout time and places United Nations Protocol and
List of current heads of state and government
List_of_current_heads_of_state_and_government
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 Roman Catholic
Poland
30–375 CE empire in Central and South Asia
the Kushan Empire." 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
Country in North America
Guatimotzin, a romanticized account of the defense of Mexico by its last Aztec ruler, Cuauhtémoc. The most well-known Mexican composer of the twentieth century
Mexico
Mechanical analog computer
position on the ruler as each function's input. Calculations that can be reduced to simple addition or subtraction using those precomputed functions can be solved
Slide_rule
Topics referred to by the same term
operator (M operator), a function-building operator for General recursive function Möbius function, a multiplicative function in number theory and combinatorics
MU
Intelligence of 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
Island country within the Netherlands
architectural styles reflecting the influence of the various historical rulers over the region, including Spain, the Netherlands, with more modern elements
Curaçao
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
Spiritual leader of Tibet since 1940
age of 15, the 14th Dalai Lama assumed full temporal (political) power as ruler of Tibet. The Dalai Lama's formal rule as head of the government in Tibet
14th_Dalai_Lama
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
Word processor
the general public. It was also notable for its very fast cut-and-paste function and unlimited number of undo operations, which are due to its usage of
Microsoft_Word
Founder of Buddhism
during the Mahajanapada period, specifically during the reign of Bimbisara, ruler of Magadha, and died during the reign of Bimbisara's successor Ajatashatru
The_Buddha
the Romans' own gods remain obscure, known only by name and sometimes function, through inscriptions and texts that are often fragmentary. This is particularly
List_of_Roman_deities
Holy Roman Emperor from 1519 to 1556
image of Charles as a powerful ruler and protector of Christendom, promoting his image as an enlightened Renaissance ruler. The building of the Palace of
Charles_V,_Holy_Roman_Emperor
Country in Central Europe
Basel in 917 and St. Gallen in 926. In response, Henry the Fowler, the then ruler of East Francia, decreed the fortification of key settlements to defend
Switzerland
Indian actress (born 1978)
December 2018 "Santosham awards 2008 and 6th anniversary - Telugu cinema function". Archived from the original on 18 March 2015. Retrieved 13 August 2012
Bhumika_Chawla
Abrahamic monotheistic religion
Ottoman Empire and its claims were strengthened in 1517 as Selim I became the ruler of Mecca and Medina. The Shia Safavid dynasty rose to power in 1501 and
Islam
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
Ruling and warrior class of the Hindu varna system
democracy (with an elected ruler). Some examples were the Andhaka and Vrsni Rajanyas who followed the system of elected rulers. Ram Sharan Sharma details
Kshatriya
Kingdoms established by barbarian tribes in the former Western Roman Empire
barbarian rulers slowly lost the habit of waiting for the Western Roman Empire to again function properly. Left to their own devices, barbarian rulers instead
Barbarian_kingdoms
Prince of Monaco from 1949 to 2005
original on 2 November 2020. Retrieved 9 May 2014. "Prince Rainier III, 81; Ruler Transformed Monaco, Made Grace Kelly His Princess". Los Angeles Times. 7
Rainier_III,_Prince_of_Monaco
Precolonial state in Southern Africa
Mwananyanda and the Lwambi ruler Mwanamatia, during which Mwanamatia was killed, allowing Mwananyanda to appoint the new Lwambi ruler (Kusio). Southern groups
Lozi_kingdom
Separation between human breasts
was found in South Arabia in the 3rd century BCE shows a buxom foreign ruler with much décolletage and an elaborate coiffure. Rabbi Aha b. Raba (c. 5th
Cleavage_(breasts)
Senior military title in various ancient Greek city states
('war') and archon ('ruler, leader') and translates as 'warleader' or 'warlord'. The name indicates that the polemarch's original function was to command the
Polemarch
Tsar of Russia from 1682 to 1696
regarding the succession of the crown upon his death. His co-ruler was left to become supreme ruler of Russia; with Ivan's death, the struggle for power within
Ivan_V_of_Russia
Country in Northwestern Europe and the Caribbean
Lothair I of Middle Francia acknowledged the Viking Rorik of Dorestad as ruler of most of Frisia. When the kingdom of Middle Francia was partitioned in
Netherlands
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
RULER FUNCTION
RULER FUNCTION
Girl/Female
Australian, British, English, Slavic
Gypsy
Boy/Male
Australian, Czechoslovakian, French, German, Polish, Russian, Slavic
Rule with Glory; Has Glory; Splendid Rule; To Rule with Glory; The Glorious Ruler; Glorious Ruler
Boy/Male
American, Australian, Chinese, German, Jamaican, Portuguese, Spanish
Rules with Counsel; Form of Ronald; Well Advised Ruler; Ruler Advisor; Wise Ruler
Boy/Male
American, Anglo, British, English, German, Norse
Ruler of All; Rule with Mercy; Ruler
Boy/Male
Hindu
Boy/Male
Australian, French, German, Italian, Teutonic
Rules the Estate; Estate Ruler; Ruler of an Estate
Girl/Female
American, Australian, Irish
One who Rules; Ruler
Boy/Male
American, Anglo, Australian, British, Chinese, Christian, English, German, Indian, Norse, Teutonic
Ruler of All; Sacred Ruler; Ruler; Rule with Mercy; Noble Leader; Ever Ruler
Boy/Male
Australian, Dutch, Scandinavian
Rules the Home; Home Ruler
Surname or Lastname
English
English : from the medieval personal name Roul (see Rollo, Rolf).Scottish : habitational name from a place in Roxburghshire, so named from the stream on which it stands. This name is of uncertain origin, possibly from Welsh rhull ‘hasty’, ‘rash’.Probably an altered spelling of German Ruhl.
Girl/Female
Christian, English, German, Indian
Ruler of All; Rules All
Girl/Female
French, German, Norse, Scandinavian, Swedish, Teutonic
Renowned Ruler; Spirited Warrior; Famous Ruler; Power; Rule
Boy/Male
Latin French
Ruler.
Boy/Male
German, Teutonic
Highborn Ruler; Noble Rule
Boy/Male
Scottish
World ruler; rules the world.
Boy/Male
American, Anglo, British, English, German, Norse
Ruler of All; Rule with Mercy; Ruler; Noble Leader
Boy/Male
Anglo, Australian, British, English, French, German, Teutonic
Ruler of All; Highborn Ruler; Rules All
Boy/Male
German, Teutonic
Estate Ruler; Rules an Estate
Boy/Male
French, German, Spanish
Rules All; Highborn Ruler; Ruler of All; Powerful
Boy/Male
French, German, Latin
Famous Wolf
RULER FUNCTION
RULER FUNCTION
Boy/Male
Arabic, Hindu, Indian, Muslim, Pashtun
Respected and Enduring
Girl/Female
Indian
Indispensable
Girl/Female
Indian, Modern
Love; Kindness
Male
French
French form of Latin Leontius, LÉONCE means "lion-like."
Boy/Male
English American Italian Latin Spanish
Fortified hill.
Male
English
Anglicized form of Irish Gaelic Dónal, DONAL means "world ruler."
Girl/Female
Hindu, Indian
To Try
Surname or Lastname
English
English : occupational nickname for a carpenter or woodcutter, from Middle English chip(pe) ‘small piece of sawn or cut wood’.
Boy/Male
Hindu, Indian
Warrior of Truth
Girl/Female
Hindu, Indian
Godesses Name
RULER FUNCTION
RULER FUNCTION
RULER FUNCTION
RULER FUNCTION
RULER FUNCTION
n.
The act of one who rules; ruled lines.
a.
A determinate method prescribed for performing any operation and producing a certain result; as, a rule for extracting the cube root.
a.
A general principle concerning the formation or use of words, or a concise statement thereof; thus, it is a rule in England, that s or es , added to a noun in the singular number, forms the plural of that noun; but "man" forms its plural "men", and is an exception to the rule.
n.
To require or command by rule; to give as a direction or order of court.
v. i.
To lay down and settle a rule or order of court; to decide an incidental point; to enter a rule.
a.
That may be ruled; subject to rule; accordant or conformable to rule.
n.
To mark with lines made with a pen, pencil, etc., guided by a rule or ruler; to print or mark with lines by means of a rule or other contrivance effecting a similar result; as, to rule a sheet of paper of a blank book.
a.
A straight strip of wood, metal, or the like, which serves as a guide in drawing a straight line; a ruler.
a.
Not comprehended within a rule or rules.
v. i.
To keep within a (certain) range for a time; to be in general, or as a rule; as, prices ruled lower yesterday than the day before.
n.
One who rules; one who exercises sway or authority; a governor.
n.
A stickler for rules; a slave of rules
a.
Ordibary course of procedure; usual way; comon state or condition of things; as, it is a rule to which there are many exeptions.
a.
The office of ruler; rule; authority; government.
n.
A straight or curved strip of wood, metal, etc., with a smooth edge, used for guiding a pen or pencil in drawing lines. Cf. Rule, n., 7 (a).
a.
A composing rule. See under Conposing.
n.
To establish or settle by, or as by, a rule; to fix by universal or general consent, or by common practice.
imp. & p. p.
of Rule
a.
That which is prescribed or laid down as a guide for conduct or action; a governing direction for a specific purpose; an authoritative enactment; a regulation; a prescription; a precept; as, the rules of various societies; the rules governing a school; a rule of etiquette or propriety; the rules of cricket.
a.
One who rules or reigns; a governor; a ruler.