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Abū Al-Ḥasan Ibn ʿAlī Al-Qalaṣādī
Abū'l-Ḥasan ʿAlī ibn Muḥammad ibn ʿAlī al-Qurashī al-Qalaṣādī (; 1412–1486) was a Muslim Arab mathematician from Al-Andalus specializing in Islamic inheritance jurisprudence. Franz Woepcke stated that al-Qalaṣādī was known as one of the most influential voices in algebraic notation for taking "the first steps toward the introduction of algebraic symbolism''. He wrote numerous books on arithmetic and algebra, including ''al-Tabsira fi'lm al-hisab'' ( "''Clarification of the science of arithmetic''"). Early life Al-Qalaṣādī was born in Baza, an outpost of the Emirate of Granada. He received education in Granada, but continued to support his family in Baza. He published many works and eventually retired to his native Baza. His works dealt with Algebra and contained the precise mathematical answers to problems in everyday life, such as the composition of medicaments, the calculation of the drop of irrigation canals and the explanation of frauds linked ...
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Muslim
Muslims () are people who adhere to Islam, a Monotheism, monotheistic religion belonging to the Abrahamic religions, Abrahamic tradition. They consider the Quran, the foundational religious text of Islam, to be the verbatim word of the God in Abrahamic religions, God of Abraham (or ''Allah'') as it was revealed to Muhammad, the last Islamic prophet. Alongside the Quran, Muslims also believe in previous Islamic holy books, revelations, such as the Tawrat (Torah), the Zabur (Psalms), and the Injeel (Gospel). These earlier revelations are associated with Judaism and Christianity, which are regarded by Muslims as earlier versions of Islam. The majority of Muslims also follow the teachings and practices attributed to Muhammad (''sunnah'') as recorded in traditional accounts (hadith). With an estimated population of almost 2 billion followers, Muslims comprise around 26% of the world's total population. In descending order, the percentage of people who identify as Muslims on each ...
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Tunisia
Tunisia, officially the Republic of Tunisia, is a country in the Maghreb region of North Africa. It is bordered by Algeria to the west and southwest, Libya to the southeast, and the Mediterranean Sea to the north and east. Tunisia also shares maritime borders with Italy through the islands of Sicily and Sardinia to the north and Malta to the east. It features the archaeological sites of Carthage dating back to the 9th century BC, as well as the Great Mosque of Kairouan. Known for its ancient architecture, Souks of Tunis, souks, and blue coasts, it covers , and has a population of 12.1 million. It contains the eastern end of the Atlas Mountains and the northern reaches of the Sahara desert; much of its remaining territory is arable land. Its of coastline includes the African conjunction of the western and eastern parts of the Mediterranean Basin. Tunisia is home to Africa's northernmost point, Cape Angela. Located on the northeastern coast, Tunis is the capital and List of cities ...
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Mīm
Mem (also spelled Meem, Meme, or Mim) is the thirteenth letter of the Semitic abjads, including Hebrew ''mēm'' , Aramaic ''mem'' 𐡌, Syriac ''mīm'' ܡ, Arabic ''mīm'' , and Phoenician ''mēm'' 𐤌. Its sound value is . It is also related to the Ancient North Arabian 𐪃‎‎‎, South Arabian , and Ge'ez . The Phoenician letter gave rise to the Greek mu (Μ), Etruscan , Latin M, and Cyrillic М. Origins Mem is believed to derive from the Egyptian hieroglyphic symbol for water, N35 which had been simplified by the Phoenicians and named after their word for "water", '' mem'' (), ultimately coming from Proto-Semitic ''*may-''. Arabic mīm The letter is named ', and is written in several ways depending on its position in the word: Some examples on its uses in Modern Standard Arabic: ''Mīm'' is used in the creation of ''ism'' words (i.e. nouns and adjectives; they are treated fundamentally the same in Arabic grammar). Specifically, ' is used in the creation of ...
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Variable (mathematics)
In mathematics, a variable (from Latin language, Latin ) is a Mathematical symbol, symbol, typically a letter, that refers to an unspecified mathematical object. One says colloquially that the variable ''represents'' or ''denotes'' the object, and that any valid candidate for the object is the value (mathematics), value of the variable. The values a variable can take are usually of the same kind, often numbers. More specifically, the values involved may form a Set (mathematics), set, such as the set of real numbers. The object may not always exist, or it might be uncertain whether any valid candidate exists or not. For example, one could represent two integers by the variables and and require that the value of the square of is twice the square of , which in algebraic notation can be written . A definitive proof that this relationship is impossible to satisfy when and are restricted to integer numbers isn't obvious, but it has been known since ancient times and has had a big ...
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Shin (letter)
Shin (also spelled Šin (') or Sheen) is the twenty-first and penultimate letter of the Semitic abjads, including Phoenician ''šīn'' 𐤔, Hebrew ''šīn'' , Aramaic ''šīn'' 𐡔, Syriac ''šīn'' ܫ, and Arabic ''sīn'' . The Phoenician letter gave rise to the Greek Sigma () (which in turn gave rise to the Latin , the German '' ẞ'' and the Cyrillic С), and the letter '' Sha'' in the Glagolitic and Cyrillic scripts (, ). The South Arabian and Ethiopian letter '' Śawt'' is also cognate. The letter ''šīn'' is the only letter of the Arabic alphabet with three dots with a letter corresponding to a letter in the Northwest Semitic abjad or the Phoenician alphabet. Origins The Proto-Sinaitic glyph, according to William Albright, was based on a "tooth" and with the phonemic value š "corresponds etymologically (in part, at least) to original Semitic ''ṯ'' (th), which was pronounced ''s'' in South Canaanite". However, the Proto-Semitic word for "tooth" has been ...
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Root Of A Function
In mathematics, a zero (also sometimes called a root) of a real-, complex-, or generally vector-valued function f, is a member x of the domain of f such that f(x) ''vanishes'' at x; that is, the function f attains the value of 0 at x, or equivalently, x is a solution to the equation f(x) = 0. A "zero" of a function is thus an input value that produces an output of 0. A root of a polynomial is a zero of the corresponding polynomial function. The fundamental theorem of algebra shows that any non-zero polynomial has a number of roots at most equal to its degree, and that the number of roots and the degree are equal when one considers the complex roots (or more generally, the roots in an algebraically closed extension) counted with their multiplicities. For example, the polynomial f of degree two, defined by f(x)=x^2-5x+6=(x-2)(x-3) has the two roots (or zeros) that are 2 and 3. f(2)=2^2-5\times 2+6= 0\textf(3)=3^2-5\times 3+6=0. If the function maps real numbers to real n ...
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Ǧīm
Gimel is the third (in alphabetical order; fifth in spelling order) letter of the Semitic abjads, including Phoenician ''gīml'' 𐤂, Hebrew ''gīmel'' , Aramaic ''gāmal'' 𐡂, Syriac ''gāmal'' ܓ and Arabic ''ǧīm'' . It is also related to the Ancient North Arabian 𐪔‎, South Arabian , and Ge'ez . Its sound value in the original Phoenician and in all derived alphabets, except Arabic ( see below), is a voiced velar plosive ; in Modern Standard Arabic, it represents either a or for most Arabic speakers except in Northern Egypt, the southern parts of Yemen and some parts of Oman where it is pronounced as the voiced velar plosive . In its Proto-Canaanite form, the letter may have been named after a weapon that was either a staff sling or a throwing stick (spear thrower), ultimately deriving from a Proto-Sinaitic glyph based on the hieroglyph below: T14 The Phoenician letter gave rise to the Greek gamma (Γ), the Latin C, G, Ɣ and Ȝ, and the Cy ...
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Division (mathematics)
Division is one of the four basic operations of arithmetic. The other operations are addition, subtraction, and multiplication. What is being divided is called the ''dividend'', which is divided by the ''divisor'', and the result is called the ''quotient''. At an elementary level the division of two natural numbers is, among other Quotition and partition, possible interpretations, the process of calculating the number of times one number is contained within another. For example, if 20 apples are divided evenly between 4 people, everyone receives 5 apples (see picture). However, this number of times or the number contained (divisor) need not be integers. The division with remainder or Euclidean division of two natural numbers provides an integer ''quotient'', which is the number of times the second number is completely contained in the first number, and a ''remainder'', which is the part of the first number that remains, when in the course of computing the quotient, no further ...
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Multiplication
Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division (mathematics), division. The result of a multiplication operation is called a ''Product (mathematics), product''. Multiplication is often denoted by the cross symbol, , by the mid-line dot operator, , by juxtaposition, or, in programming languages, by an asterisk, . The multiplication of whole numbers may be thought of as repeated addition; that is, the multiplication of two numbers is equivalent to adding as many copies of one of them, the ''multiplicand'', as the quantity of the other one, the ''multiplier''; both numbers can be referred to as ''factors''. This is to be distinguished from term (arithmetic), ''terms'', which are added. :a\times b = \underbrace_ . Whether the first factor is the multiplier or the multiplicand may be ambiguous or depend upon context. For example, the expression 3 \times 4 , can be phrased as "3 ti ...
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Subtraction
Subtraction (which is signified by the minus sign, –) is one of the four Arithmetic#Arithmetic operations, arithmetic operations along with addition, multiplication and Division (mathematics), division. Subtraction is an operation that represents removal of objects from a collection. For example, in the adjacent picture, there are peaches—meaning 5 peaches with 2 taken away, resulting in a total of 3 peaches. Therefore, the ''difference'' of 5 and 2 is 3; that is, . While primarily associated with natural numbers in arithmetic, subtraction can also represent removing or decreasing physical and abstract quantities using different kinds of objects including negative numbers, Fraction (mathematics), fractions, irrational numbers, Euclidean vector, vectors, decimals, functions, and matrices. In a sense, subtraction is the inverse of addition. That is, if and only if . In words: the difference of two numbers is the number that gives the first one when added to the second one. ...
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Illa (Arabic)
The Arabic word illa is a negative word corresponding to the English except, only and but. Use It is an often recurring phrase in the Qur'an, often used to give strength to statements by first negating all possibilities, and then referring to a subject. For example, in the Islamic Creed (): *Arabic text: :* *Romanization In linguistics, romanization is the conversion of text from a different writing system to the Latin script, Roman (Latin) script, or a system for doing so. Methods of romanization include transliteration, for representing written text, and tra ...: :*' * English translations: :* I testify that there is no god but God. This can also be seen in the prayer La hawla wa la quwwata illa billah, There is neither change nor power except by means of God. See also * Negation in Arabic References Arabic words and phrases Arabic grammar {{Arabic-lang-stub ...
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Addition
Addition (usually signified by the Plus and minus signs#Plus sign, plus symbol, +) is one of the four basic Operation (mathematics), operations of arithmetic, the other three being subtraction, multiplication, and Division (mathematics), division. The addition of two Natural number, whole numbers results in the total or ''summation, sum'' of those values combined. For example, the adjacent image shows two columns of apples, one with three apples and the other with two apples, totaling to five apples. This observation is expressed as , which is read as "three plus two Equality (mathematics), equals five". Besides counting items, addition can also be defined and executed without referring to concrete objects, using abstractions called numbers instead, such as integers, real numbers, and complex numbers. Addition belongs to arithmetic, a branch of mathematics. In algebra, another area of mathematics, addition can also be performed on abstract objects such as Euclidean vector, vec ...
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