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Toufik Mansour
Toufik Mansour is an Israeli mathematician working in algebraic combinatorics. He is a member of the Druze community and is the first Israeli Druze to become a professional mathematician. Mansour obtained his Ph.D. in mathematics from the University of Haifa in 2001 under Alek Vainshtein. As of 2007, he is a professor of mathematics at the University of Haifa. , Mathematics Department, University of Haifa, retrieved 2014-09-06. He served as chair of the department from 2015 to 2017. He has previously been a faculty member of the Center for Combinatorics at from 2004 to 2007, and at The John Knopfmacher Center for Applicable Analysis and Number Theory at the |
Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematical model, models, and mathematics#Calculus and analysis, change. History One of the earliest known mathematicians were Thales of Miletus (c. 624–c.546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) established the Pythagoreans, Pythagorean School, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathemat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Algebraic Combinatorics
Algebraic combinatorics is an area of mathematics that employs methods of abstract algebra, notably group theory and representation theory, in various combinatorial contexts and, conversely, applies combinatorial techniques to problems in algebra. History The term "algebraic combinatorics" was introduced in the late 1970s. Through the early or mid-1990s, typical combinatorial objects of interest in algebraic combinatorics either admitted a lot of symmetries ( association schemes, strongly regular graphs, posets with a group action) or possessed a rich algebraic structure, frequently of representation theoretic origin ( symmetric functions, Young tableaux). This period is reflected in the area 05E, ''Algebraic combinatorics'', of the AMS Mathematics Subject Classification, introduced in 1991. Scope Algebraic combinatorics has come to be seen more expansively as an area of mathematics where the interaction of combinatorial and algebraic methods is particularly strong and signi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Druze
The Druze (; ar, دَرْزِيٌّ, ' or ', , ') are an Arabic-speaking esoteric ethnoreligious group from Western Asia who adhere to the Druze faith, an Abrahamic, monotheistic, syncretic, and ethnic religion based on the teachings of Hamza ibn Ali ibn Ahmad and ancient Greek philosophers like Plato, Aristotle, Pythagoras, and Zeno of Citium. Adherents of the Druze religion call themselves " the Monotheists" or "the Unitarians" (''al-Muwaḥḥidūn''). The Epistles of Wisdom is the foundational and central text of the Druze faith. The Druze faith incorporates elements of Isma'ilism, Christianity, Gnosticism, Neoplatonism, Zoroastrianism, Buddhism, Hinduism, Pythagoreanism, and other philosophies and beliefs, creating a distinct and secretive theology based on an esoteric interpretation of scripture, which emphasizes the role of the mind and truthfulness. Druze believe in theophany and reincarnation. Druze believe that at the end of the cycle of rebirth, which i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Haifa
The University of Haifa ( he, אוניברסיטת חיפה Arabic: جامعة حيفا) is a university located on Mount Carmel in Haifa, Israel. Founded in 1963, the University of Haifa received full academic accreditation in 1972, becoming Israel's sixth academic institution and the fourth university. The university has the largest university library in Israel. As of 2019, approximately 18,000 students were enrolled at the University of Haifa. Among Israeli higher education institutions the University of Haifa has the largest percentage (41%) of Arab-Israeli students. Overview The University of Haifa was founded in 1963 by Haifa mayor Abba Hushi, to operate under the academic auspices of the Hebrew University of Jerusalem. Haifa University is located on Mount Carmel. In 1972, the University of Haifa declared its independence and became the sixth academic institution in Israel and the fourth university. About 18,100 undergraduate and graduate students study in the univer ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nankai University
Nankai University (NKU or Nankai; ) is a national public research university located in Tianjin, China. It is a prestigious Chinese state Class A Double First Class University approved by the central government of China, and a member of the former project 985 and project 211 group of universities. It was founded in 1919, by educators Yan Xiu and Zhang Boling. During the Sino-Japanese War (1937–1945), Nankai University, Peking University and Tsinghua University merged and formed the National Changsha Provisional University, which later moved to Kunming and was renamed the National Southwestern Associated University (西南联大). On December 25, 2000, the State Ministry of Education signed an agreement with Tianjin Municipal Government to jointly establish and develop Nankai University. Since then, Nankai has been listed among the universities to receive priority development investments from the Chinese government in the twenty-first century. Nankai has long been ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of The Witwatersrand
The University of the Witwatersrand, Johannesburg (), is a multi-campus South African public research university situated in the northern areas of central Johannesburg. It is more commonly known as Wits University or Wits ( or ). The university has its roots in the mining industry, as do Johannesburg and the Witwatersrand in general. Founded in 1896 as the South African School of Mines in Kimberley, it is the third oldest South African university in continuous operation. The university has an enrolment of 40,259 students as of 2018, of which approximately 20 percent live on campus in the university's 17 residences. 63 percent of the university's total enrolment is for undergraduate study, with 35 percent being postgraduate and the remaining 2 percent being Occasional Students. The 2017 Academic Ranking of World Universities (ARWU) places Wits University, with its overall score, as the highest ranked university in Africa. Wits was ranked as the top university in South Africa in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Discrete Mathematics
Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a bijection with the set of natural numbers) rather than "continuous" (analogously to continuous functions). Objects studied in discrete mathematics include integers, graphs, and statements in logic. By contrast, discrete mathematics excludes topics in "continuous mathematics" such as real numbers, calculus or Euclidean geometry. Discrete objects can often be enumerated by integers; more formally, discrete mathematics has been characterized as the branch of mathematics dealing with countable sets (finite sets or sets with the same cardinality as the natural numbers). However, there is no exact definition of the term "discrete mathematics". The set of objects studied in discrete mathematics can be finite or infinite. The term finite mathematics is sometimes applied to parts of the field of discrete mathematics that deals with ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Permutation Pattern
In combinatorial mathematics and theoretical computer science, a permutation pattern is a sub-permutation of a longer permutation. Any permutation may be written in one-line notation as a sequence of digits representing the result of applying the permutation to the digit sequence 123...; for instance the digit sequence 213 represents the permutation on three elements that swaps elements 1 and 2. If π and σ are two permutations represented in this way (these variable names are standard for permutations and are unrelated to the number pi), then π is said to ''contain'' σ as a ''pattern'' if some subsequence of the digits of π has the same relative order as all of the digits of σ. For instance, permutation π contains the pattern 213 whenever π has three digits ''x'', ''y'', and ''z'' that appear within π in the order ''x''...''y''...''z'' but whose values are ordered as ''y'' < ''x'' < ''z'', the same as the ordering of the values in the permutation 213. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Partition Of A Set
In mathematics, a partition of a set is a grouping of its elements into non-empty subsets, in such a way that every element is included in exactly one subset. Every equivalence relation on a set defines a partition of this set, and every partition defines an equivalence relation. A set equipped with an equivalence relation or a partition is sometimes called a setoid, typically in type theory and proof theory. Definition and Notation A partition of a set ''X'' is a set of non-empty subsets of ''X'' such that every element ''x'' in ''X'' is in exactly one of these subsets (i.e., ''X'' is a disjoint union of the subsets). Equivalently, a family of sets ''P'' is a partition of ''X'' if and only if all of the following conditions hold: *The family ''P'' does not contain the empty set (that is \emptyset \notin P). *The union of the sets in ''P'' is equal to ''X'' (that is \textstyle\bigcup_ A = X). The sets in ''P'' are said to exhaust or cover ''X''. See also collectively ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Combinatorics On Words
Combinatorics on words is a fairly new field of mathematics, branching from combinatorics, which focuses on the study of words and formal languages. The subject looks at letters or symbols, and the sequences they form. Combinatorics on words affects various areas of mathematical study, including algebra and computer science. There have been a wide range of contributions to the field. Some of the first work was on square-free words by Axel Thue in the early 1900s. He and colleagues observed patterns within words and tried to explain them. As time went on, combinatorics on words became useful in the study of algorithms and coding. It led to developments in abstract algebra and answering open questions. Definition Combinatorics is an area of discrete mathematics. Discrete mathematics is the study of countable structures. These objects have a definite beginning and end. The study of enumerable objects is the opposite of disciplines such as analysis, where calculus and in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Composition (combinatorics)
In mathematics, a composition of an integer ''n'' is a way of writing ''n'' as the sum of a sequence of (strictly) positive integers. Two sequences that differ in the order of their terms define different compositions of their sum, while they are considered to define the same partition of that number. Every integer has finitely many distinct compositions. Negative numbers do not have any compositions, but 0 has one composition, the empty sequence. Each positive integer ''n'' has distinct compositions. A weak composition of an integer ''n'' is similar to a composition of ''n'', but allowing terms of the sequence to be zero: it is a way of writing ''n'' as the sum of a sequence of non-negative integers. As a consequence every positive integer admits infinitely many weak compositions (if their length is not bounded). Adding a number of terms 0 to the ''end'' of a weak composition is usually not considered to define a different weak composition; in other words, weak compositions a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of Israeli Druze
This is a list of notable Israeli Druze. The list is ordered by category of human endeavor. Persons with significant contributions in two fields are listed in both of the pertinent categories, to facilitate easy lookup. Politicians and government officials * Labib Hussein Abu Rokan – politician who served as a member of the Knesset for Cooperation and Brotherhood between 1959 and 1961. * Hamad Amar – politician and currently serves as a member of the Knesset for Yisrael Beiteinu. * Assad Assad – former officer, diplomat and politician who served as a member of the Knesset for Likud between 1992 and 1996. * Zeidan Atashi – former diplomat and politician who served as a member of the Knesset for the Democratic Movement for Change and Shinui between 1977 and 1981, and again from 1984 until 1988. * Amal Nasser el-Din – author and former politician who served as a member of the Knesset for Likud between 1977 and 1988. * Salah-Hassan Hanifes – politician who served a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
