Abū Al-Ḥasan Ibn ʿAlī Al-Qalaṣādī
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Abū Al-Ḥasan Ibn ʿAlī Al-Qalaṣādī
Abū'l-Ḥasan ibn ʿAlī ibn Muḥammad ibn ʿAlī al-Qurashī al-Qalaṣādī ( ar, أبو الحسن علي بن محمد بن علي القرشي البسطي; 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'' ( ar, التبصير في علم الحساب "''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 ...
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Muslim
Muslims ( ar, المسلمون, , ) are people who adhere to Islam, a monotheistic religion belonging to the Abrahamic tradition. They consider the Quran, the foundational religious text of Islam, to be the verbatim word of the God of Abraham (or '' Allah'') as it was revealed to Muhammad, the main Islamic prophet. The majority of Muslims also follow the teachings and practices of Muhammad ('' sunnah'') as recorded in traditional accounts (''hadith''). With an estimated population of almost 1.9 billion followers as of 2020 year estimation, Muslims comprise more than 24.9% of the world's total population. In descending order, the percentage of people who identify as Muslims on each continental landmass stands at: 45% of Africa, 25% of Asia and Oceania (collectively), 6% of Europe, and 1% of the Americas. Additionally, in subdivided geographical regions, the figure stands at: 91% of the Middle East–North Africa, 90% of Central Asia, 65% of the Caucasus, 42% of Southeast As ...
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Tunisia
) , image_map = Tunisia location (orthographic projection).svg , map_caption = Location of Tunisia in northern Africa , image_map2 = , capital = Tunis , largest_city = capital , coordinates = , official_languages = Arabic Translation by the University of Bern: "Tunisia is a free State, independent and sovereign; its religion is the Islam, its language is Arabic, and its form is the Republic." , religion = , languages_type = Spoken languages , languages = Minority Dialects : Jerba Berber (Chelha) Matmata Berber Judeo-Tunisian Arabic (UNESCO CR) , languages2_type = Foreign languages , languages2 = , ethnic_groups = * 98% Arab * 2% Other , demonym = Tunisian , government_type = Unitary presidential republic , leader_title1 = President , leader_name1 = Kais Saied , leader_ti ...
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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 , Syriac mīm ܡ, Arabic mīm and Phoenician mēm . Its sound value is . 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 *maʾ-/*may-. Hebrew Mem Hebrew spelling: Hebrew pronunciation Mem represents a bilabial nasal . Variations on written form/pronunciation In Hebrew, Mem, like Kaph, Nun, Pe, and Tzadi, has a final form, used at the end of words: its shape changes from to . Significance In gematria, Mem represents the number 40 in both the Standard and Mispar Gadol Methods of Gematria; However, (mem sofit) final mem's value is 40 in the Standard Method and 600 in the Mispar Ga ...
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Variable (mathematics)
In mathematics, a variable (from Latin '' variabilis'', "changeable") is a symbol that represents a mathematical object. A variable may represent a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set. Algebraic computations with variables as if they were explicit numbers solve a range of problems in a single computation. For example, the quadratic formula solves any quadratic equation by substituting the numeric values of the coefficients of that equation for the variables that represent them in the quadratic formula. In mathematical logic, a ''variable'' is either a symbol representing an unspecified term of the theory (a meta-variable), or a basic object of the theory that is manipulated without referring to its possible intuitive interpretation. History In ancient works such as Euclid's ''Elements'', single letters refer to geometric points and shapes. In the 7th century, Brahmagupta used different colours to represent the u ...
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Shin (letter)
Shin (also spelled Šin (') or Sheen) is the twenty-first letter of the Semitic abjads, including Phoenician Shin , Hebrew Shin , Aramaic Shin , Syriac Shin ܫ, and Arabic Shin (in abjadi order, 13th in modern order). Its sound value is a voiceless sibilant, or . The Phoenician letter gave rise to the Greek Sigma () (which in turn gave Latin and Cyrillic С), and the letter '' Sha'' in the Glagolitic and Cyrillic scripts (, ). The South Arabian and Ethiopian letter ''Śawt'' is also cognate. 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". The Phoenician letter expressed the continuants of two Proto-Semitic phonemes, and may have been based on a pictogram of a tooth (in modern Hebrew ''shen''). The Encyclopaedia Judaica, 1972, records that it originally represented a ...
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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 the 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 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 numbers, then it ...
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Ǧīm
Gimel is the third letter of the Semitic abjads, including Phoenician Gīml , Hebrew Gimel , Aramaic Gāmal , Syriac Gāmal , and Arabic (in alphabetical order; fifth in spelling order). Its sound value in the original Phoenician and in all derived alphabets, except Arabic, 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 ( see below). 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 yogh , and the Cyrillic Г and Ґ. Hebrew gimel Variations Hebrew spelling: Bertrand Russell posits that the letter's form is a conventionaliz ...
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Division (mathematics)
Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication. At an elementary level the division of two natural numbers is, among other possible interpretations, the process of calculating the number of times one number is contained within another. This number of times need not be an integer. For example, if 20 apples are divided evenly between 4 people, everyone receives 5 apples (see picture). 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 full chunk of the size of the second number can be allocated. For example, if 21 apples are divided between 4 people, everyone receives ...
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Multiplication
Multiplication (often denoted by the cross symbol , by the mid-line dot operator , by juxtaposition, or, on computers, by an asterisk ) is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a ''product''. 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''. :a\times b = \underbrace_ For example, 4 multiplied by 3, often written as 3 \times 4 and spoken as "3 times 4", can be calculated by adding 3 copies of 4 together: :3 \times 4 = 4 + 4 + 4 = 12 Here, 3 (the ''multiplier'') and 4 (the ''multiplicand'') are the ''factors'', and 12 is the ''product''. One of the main properties of multiplication is ...
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Subtraction
Subtraction is an arithmetic operation that represents the operation of removing objects from a collection. Subtraction is signified by the minus sign, . 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, fractions, irrational numbers, vectors, decimals, functions, and matrices. Subtraction follows several important patterns. It is anticommutative, meaning that changing the order changes the sign of the answer. It is also not associative, meaning that when one subtracts more than two numbers, the order in which subtraction is performed matters. Because is the additive identity, subtraction of it does not change a number. Subtraction ...
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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 ( ar, Shahada): *Arabic text: :* *Romanization: :*' *English English usually refers to: * English language * English people English may also refer to: Peoples, culture, and language * ''English'', an adjective for something of, from, or related to England ** English national ide ... translations: :* I testify that there is no god but God, and I testify that Muhammad(Sallallahu alayhi wa Sallam) is the messenger of 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 amount or ''summation, sum'' of those values combined. The example in the adjacent image shows a combination of three apples and two apples, making a total of five apples. This observation is equivalent to the Expression (mathematics), mathematical expression (that is, "3 ''plus'' 2 is Equality (mathematics), equal to 5"). 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 su ...
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