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53 relations: Abu Mansur al-Baghdadi, Addition, Aliquot sequence, Amicable numbers, Andante (TV series), Arabs, Betrothed numbers, Brady Haran, Coprime integers, Cycle (graph theory), Denis Guedj, Directed graph, Divisor, Greatest common divisor, Integer, Iran, Iraqis, Kamāl al-Dīn al-Fārisī, Lemma (mathematics), Leonhard Euler, Maslama al-Majriti, Mathematical Association of America, Mathematician, Mathematics in medieval Islam, Muhammad Baqir Yazdi, Multiset, Number, Parity (mathematics), Paul Auster, Paul Erdős, Penguin Group, Perfect number, Periodic sequence, Pierre de Fermat, Prime number, Product (mathematics), Pythagoreanism, Reginald Hill, René Descartes, Rewrite (visual novel), Sociable number, Square-free integer, Thabit number, Thābit ibn Qurra, The Housekeeper and the Professor, The Parrot's Theorem, The Penguin Dictionary of Curious and Interesting Numbers, The Professor's Beloved Equation (film), Walter Borho, William Dunham (mathematician), ..., Yōko Ogawa, 220 (number), 284 (number). Expand index (3 more) »
Abu Mansur al-Baghdadi
Abū Manṣūr ʿAbd al-Qāhir ibn Ṭāhir bin Muḥammad bin ʿAbd Allāh al-Tamīmī al-Shāfiʿī al-Baghdādī (أبو منصور عبدالقاهر ابن طاهر بن محمد بن عبدالله التميمي الشافعي البغدادي) also called Machometus Bagdedinus in Latin, was an Arab Shafi'i scholar, Imam in fundamentals of Islam (Usul), heresiologist and mathematician.
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Addition
Addition (often signified by the plus symbol "+") is one of the four basic operations of arithmetic; the others are subtraction, multiplication and division.
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Aliquot sequence
In mathematics, an aliquot sequence is a sequence of positive integers in which each term is the sum of the proper divisors of the previous term.
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Amicable numbers
Amicable numbers are two different numbers so related that the sum of the proper divisors of each is equal to the other number.
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Andante (TV series)
Andante is a South Korean television series starring Kai, Baek Chul-min, Lee Ye-hyun and Kim Jin-kyung.
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Arabs
Arabs (عَرَب ISO 233, Arabic pronunciation) are a population inhabiting the Arab world.
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Betrothed numbers
Betrothed numbers or quasi-amicable numbers are two positive integers such that the sum of the proper divisors of either number is one more than the value of the other number.
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Brady Haran
Brady John Haran (born 18 June 1976) is an Australian-born British independent filmmaker and video journalist who is known for his educational videos and documentary films produced for BBC News and his YouTube channels, the most notable being Periodic Videos and Numberphile.
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Coprime integers
In number theory, two integers and are said to be relatively prime, mutually prime, or coprime (also written co-prime) if the only positive integer (factor) that divides both of them is 1.
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Cycle (graph theory)
In graph theory, a cycle is a path of edges and vertices wherein a vertex is reachable from itself.
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Denis Guedj
Denis Guedj (1940 – April 24, 2010) was a French novelist and a professor of the History of Science at Paris VIII University.
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Directed graph
In mathematics, and more specifically in graph theory, a directed graph (or digraph) is a graph that is a set of vertices connected by edges, where the edges have a direction associated with them.
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Divisor
In mathematics, a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n. In this case, one also says that n is a multiple of m. An integer n is divisible by another integer m if m is a divisor of n; this implies dividing n by m leaves no remainder.
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Greatest common divisor
In mathematics, the greatest common divisor (gcd) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.
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Integer
An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").
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Iran
Iran (ایران), also known as Persia, officially the Islamic Republic of Iran (جمهوری اسلامی ایران), is a sovereign state in Western Asia. With over 81 million inhabitants, Iran is the world's 18th-most-populous country. Comprising a land area of, it is the second-largest country in the Middle East and the 17th-largest in the world. Iran is bordered to the northwest by Armenia and the Republic of Azerbaijan, to the north by the Caspian Sea, to the northeast by Turkmenistan, to the east by Afghanistan and Pakistan, to the south by the Persian Gulf and the Gulf of Oman, and to the west by Turkey and Iraq. The country's central location in Eurasia and Western Asia, and its proximity to the Strait of Hormuz, give it geostrategic importance. Tehran is the country's capital and largest city, as well as its leading economic and cultural center. Iran is home to one of the world's oldest civilizations, beginning with the formation of the Elamite kingdoms in the fourth millennium BCE. It was first unified by the Iranian Medes in the seventh century BCE, reaching its greatest territorial size in the sixth century BCE, when Cyrus the Great founded the Achaemenid Empire, which stretched from Eastern Europe to the Indus Valley, becoming one of the largest empires in history. The Iranian realm fell to Alexander the Great in the fourth century BCE and was divided into several Hellenistic states. An Iranian rebellion culminated in the establishment of the Parthian Empire, which was succeeded in the third century CE by the Sasanian Empire, a leading world power for the next four centuries. Arab Muslims conquered the empire in the seventh century CE, displacing the indigenous faiths of Zoroastrianism and Manichaeism with Islam. Iran made major contributions to the Islamic Golden Age that followed, producing many influential figures in art and science. After two centuries, a period of various native Muslim dynasties began, which were later conquered by the Turks and the Mongols. The rise of the Safavids in the 15th century led to the reestablishment of a unified Iranian state and national identity, with the country's conversion to Shia Islam marking a turning point in Iranian and Muslim history. Under Nader Shah, Iran was one of the most powerful states in the 18th century, though by the 19th century, a series of conflicts with the Russian Empire led to significant territorial losses. Popular unrest led to the establishment of a constitutional monarchy and the country's first legislature. A 1953 coup instigated by the United Kingdom and the United States resulted in greater autocracy and growing anti-Western resentment. Subsequent unrest against foreign influence and political repression led to the 1979 Revolution and the establishment of an Islamic republic, a political system that includes elements of a parliamentary democracy vetted and supervised by a theocracy governed by an autocratic "Supreme Leader". During the 1980s, the country was engaged in a war with Iraq, which lasted for almost nine years and resulted in a high number of casualties and economic losses for both sides. According to international reports, Iran's human rights record is exceptionally poor. The regime in Iran is undemocratic, and has frequently persecuted and arrested critics of the government and its Supreme Leader. Women's rights in Iran are described as seriously inadequate, and children's rights have been severely violated, with more child offenders being executed in Iran than in any other country in the world. Since the 2000s, Iran's controversial nuclear program has raised concerns, which is part of the basis of the international sanctions against the country. The Joint Comprehensive Plan of Action, an agreement reached between Iran and the P5+1, was created on 14 July 2015, aimed to loosen the nuclear sanctions in exchange for Iran's restriction in producing enriched uranium. Iran is a founding member of the UN, ECO, NAM, OIC, and OPEC. It is a major regional and middle power, and its large reserves of fossil fuels – which include the world's largest natural gas supply and the fourth-largest proven oil reserves – exert considerable influence in international energy security and the world economy. The country's rich cultural legacy is reflected in part by its 22 UNESCO World Heritage Sites, the third-largest number in Asia and eleventh-largest in the world. Iran is a multicultural country comprising numerous ethnic and linguistic groups, the largest being Persians (61%), Azeris (16%), Kurds (10%), and Lurs (6%).
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Iraqis
The Iraqi people (Arabic: العراقيون ʿIrāqiyyūn, Kurdish: گهلی عیراق Îraqîyan, ܥܡܐ ܥܝܪܩܝܐ ʿIrāqāyā, Iraklılar) are the citizens of the modern country of Iraq. Arabs have had a large presence in Mesopotamia since the Sasanian Empire (224–637). Arabic was spoken by the majority in the Kingdom of Araba in the first and second centuries, and by Arabs in al-Hirah from the third century. Arabs were common in Mesopotamia at the time of the Seleucid Empire (3rd century BC).Ramirez-Faria, 2007, p. 33. The first Arab kingdom outside Arabia was established in Iraq's Al-Hirah in the third century. Arabic was a minority language in northern Iraq in the eighth century BC, from the eighth century following the Muslim conquest of Persia, it became the dominant language of Iraqi Muslims because Arabic was the language of the Quran and of the Abbasid Caliphate. Kurds who are Iraqi citizens live in the Zagros Mountains of northeast Iraq to the east of the upper Tigris. Arabic and Kurdish are Iraq's national languages.
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Kamāl al-Dīn al-Fārisī
Kamal al-Din Hasan ibn Ali ibn Hasan al-Farisi or Abu Hasan Muhammad ibn Hasan (1267– 12 January 1319, long assumed to be 1320)) (كمالالدين فارسی) was a Persian Muslim scientist. He made two major contributions to science, one on optics, the other on number theory. Farisi was a pupil of the astronomer and mathematician Qutb al-Din al-Shirazi, who in turn was a pupil of Nasir al-Din Tusi. According to Encyclopædia Iranica, Kamal al-Din was the most prominent Persian author on optics.
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Lemma (mathematics)
In mathematics, a "helping theorem" or lemma (plural lemmas or lemmata) is a proven proposition which is used as a stepping stone to a larger result rather than as a statement of interest by itself.
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Leonhard Euler
Leonhard Euler (Swiss Standard German:; German Standard German:; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, logician and engineer, who made important and influential discoveries in many branches of mathematics, such as infinitesimal calculus and graph theory, while also making pioneering contributions to several branches such as topology and analytic number theory.
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Maslama al-Majriti
Maslama al-Majriti or Abu al-Qasim al-Qurtubi al-Majriti (full name: Abu ’l-Qāsim Maslama ibn Aḥmad al-Faraḍī al-Ḥāsib al-Maj̲rīṭī al-Qurṭubī al-Andalusī; أبو القاسم مسلمة بن أحمد المجريطي, Methilem) (c. 950 in Madrid – 1007 in Córdoba) was an Arab Muslim astronomer, chemist, mathematician, economist and Scholar in Islamic Spain, active during the reign of Al-Hakam II.
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Mathematical Association of America
The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level.
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Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.
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Mathematics in medieval Islam
Mathematics during the Golden Age of Islam, especially during the 9th and 10th centuries, was built on Greek mathematics (Euclid, Archimedes, Apollonius) and Indian mathematics (Aryabhata, Brahmagupta).
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Muhammad Baqir Yazdi
Muhammad Baqir Yazdi was an Iranian mathematician who lived in the 16th century.
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Multiset
In mathematics, a multiset (aka bag or mset) is a modification of the concept of a set that, unlike a set, allows for multiple instances for each of its elements.
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Number
A number is a mathematical object used to count, measure and also label.
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Parity (mathematics)
In mathematics, parity is the property of an integer's inclusion in one of two categories: even or odd.
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Paul Auster
Paul Benjamin Auster (born February 3, 1947) is an American writer and director whose writing blends absurdism, existentialism, crime fiction, and the search for identity and personal meaning.
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Paul Erdős
Paul Erdős (Erdős Pál; 26 March 1913 – 20 September 1996) was a Hungarian mathematician.
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Penguin Group
The Penguin Group is a trade book publisher and part of Penguin Random House.
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Perfect number
In number theory, a perfect number is a positive integer that is equal to the sum of its proper positive divisors, that is, the sum of its positive divisors excluding the number itself (also known as its aliquot sum).
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Periodic sequence
In mathematics, a periodic sequence (sometimes called a cycle) is a sequence for which the same terms are repeated over and over: The number p of repeated terms is called the period (period).
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Pierre de Fermat
Pierre de Fermat (Between 31 October and 6 December 1607 – 12 January 1665) was a French lawyer at the Parlement of Toulouse, France, and a mathematician who is given credit for early developments that led to infinitesimal calculus, including his technique of adequality.
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Prime number
A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.
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Product (mathematics)
In mathematics, a product is the result of multiplying, or an expression that identifies factors to be multiplied.
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Pythagoreanism
Pythagoreanism originated in the 6th century BC, based on the teachings and beliefs held by Pythagoras and his followers, the Pythagoreans, who were considerably influenced by mathematics and mysticism.
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Reginald Hill
Reginald Charles Hill FRSL (3 April 193612 January 2012) was an English crime writer, and the winner in 1995 of the Crime Writers' Association Cartier Diamond Dagger for Lifetime Achievement.
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René Descartes
René Descartes (Latinized: Renatus Cartesius; adjectival form: "Cartesian"; 31 March 1596 – 11 February 1650) was a French philosopher, mathematician, and scientist.
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Rewrite (visual novel)
is a Japanese visual novel developed by Key, a brand of VisualArt's.
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Sociable number
Sociable numbers are numbers whose aliquot sums form a cyclic sequence that begins and ends with the same number.
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Square-free integer
In mathematics, a square-free integer is an integer which is divisible by no perfect square other than 1.
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Thabit number
In number theory, a Thabit number, Thâbit ibn Kurrah number, or 321 number is an integer of the form 3 \cdot 2^n - 1 for a non-negative integer n. The first few Thabit numbers are: The 9th Century mathematician, physician, astronomer and translator Thābit ibn Qurra is credited as the first to study these numbers and their relation to amicable numbers.
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Thābit ibn Qurra
(ثابت بن قره, Thebit/Thebith/Tebit; 826 – February 18, 901) was a Syrian Arab Sabian mathematician, physician, astronomer, and translator who lived in Baghdad in the second half of the ninth century during the time of Abbasid Caliphate.
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The Housekeeper and the Professor
(literally "The Professor's Beloved Equation") is a novel by Yoko Ogawa set in modern-day Japan.
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The Parrot's Theorem
The Parrot's Theorem is a French novel written by Denis Guedj and published in 1998.
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The Penguin Dictionary of Curious and Interesting Numbers
The Penguin Dictionary of Curious and Interesting Numbers is a reference book for recreational mathematics and elementary number theory written by David Wells.
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The Professor's Beloved Equation (film)
is a Japanese film released January 21, 2006 and directed by Takashi Koizumi.
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Walter Borho
Walter Borho (born 17 December 1945, in Hamburg) is a German mathematician, who works on algebra and number theory.
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William Dunham (mathematician)
William Wade Dunham (born 1947) is an American writer who was originally trained in topology but became interested in the history of mathematics and specializes in Leonhard Euler.
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Yōko Ogawa
is a Japanese writer.
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220 (number)
220 (two hundred twenty) is the natural number following 219 and preceding 221.
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284 (number)
Two hundred eighty-four (284, CCLXXXIV) is the natural number following 283 and preceding 285.
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Amiable number, Amicable, Amicable number, Amicable pair, Amicable pairs, Euler rule, Euler's Rule, Euler's rule, Nicolò Paganini's numbers, Thabit ibn Kurrah Rule, Thabit ibn Kurrah rule, Thâbit ibn Kurrah Rule, Thâbit ibn Kurrah rule.
References
[1] https://en.wikipedia.org/wiki/Amicable_numbers
