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Division (mathematics)
Division is one of the four basic operations of arithmetic, the others being addition, subtraction, and multiplication. The division of two natural numbers is the process of calculating the number of times one number is contained within another one.[1]:7 For example, in the picture on the right, the 20 apples are divided into four groups of five apples, meaning that twenty divided by five gives four, or four is the result of division of twenty by five. This is denoted as 20 / 5 = 4, 20 ÷ 5 = 4, or 20/5 = 4.[2] Division can be viewed either as quotition or as partition. In quotition, 20 ÷ 5 means the number of 5s that must be added to get 20. In partition, 20 ÷ 5 means the size of each of 5 parts into which a set of size 20 is divided. Division is the inverse of multiplication; if a × b = c, then a = c ÷ b, as long as b is not zero
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Mathematical Software
Mathematical software is software used to model, analyze or calculate numeric, symbolic or geometric data.[1] It is a type of application software which is used for solving mathematical problems or mathematical study. There are various views to what is the mathematics, so there is various views of the category of mathematical software which used for them, over from narrow to wide sense. A type of mathematical software (math library) also used by built in the part of an another scientific software. A most primary them (for example, to calculate elementary function by floating point arithmetic) may be in the category of mathematical software. They are often usually built in the general purpose systems as middleware. So to speak, mathematical software is not only an application software but also basis of the another scientific software
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Number Theory
Number
Number
theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers. It is sometimes called "The Queen of Mathematics" because of its foundational place in the discipline.[1] Number
Number
theorists study prime numbers as well as the properties of objects made out of integers (e.g., rational numbers) or defined as generalizations of the integers (e.g., algebraic integers). Integers can be considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory are often best understood through the study of analytical objects (e.g., the Riemann zeta function) that encode properties of the integers, primes or other number-theoretic objects in some fashion (analytic number theory)
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ASCII
ASCII
ASCII
(/ˈæski/ ( listen) ASS-kee),[1]:6 abbreviated from American Standard Code for Information Interchange, is a character encoding standard for electronic communication
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Programming Language
A programming language is a formal language that specifies a set of instructions that can be used to produce various kinds of output. Programming languages generally consist of instructions for a computer. Programming languages can be used to create programs that implement specific algorithms. The earliest known programmable machine that preceded the invention of the digital computer was the automatic flute player described in the 9th century by the brothers Musa in Baghdad, during the Islamic Golden Age.[1] From the early 1800s, "programs" were used to direct the behavior of machines such as Jacquard looms, music boxes and player pianos.[2] Thousands of different programming languages have been created, mainly in the computer field, and many more still are being created every year
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Slash (punctuation)
؋ ​₳ ​ ฿ ​₿ ​ ₵ ​¢ ​₡ ​₢ ​ $ ​₫ ​₯ ​֏ ​ ₠ ​€ ​ ƒ ​₣ ​ ₲ ​ ₴ ​ ₭ ​ ₺ ​₾ ​ ₼ ​ℳ ​₥ ​ ₦ ​ ₧ ​₱ ​₰ ​£ ​ 元 圆 圓 ​﷼ ​៛ ​₽ ​₹ ₨ ​ ₪ ​ ৳ ​₸ ​₮ ​ ₩ ​ ¥ 円Uncommon typographyasterism ⁂fleuron, hedera ❧index, fist ☞interrobang ‽irony punctuation ⸮lozenge ◊tie ⁀RelatedDiacritics Logic symbolsWhitespace charactersIn other scriptsChinese Hebrew Japanese Korean Category Portal Bookv t eThe slash is an oblique slanting line punctuation mark. Once used to mark periods and commas, the slash is now most often used to represent exclusive or inclusive or, division and fractions, and as a date separator
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GNU Octave
GNU
GNU
Octave is software featuring a high-level programming language, primarily intended for numerical computations. Octave helps in solving linear and nonlinear problems numerically, and for performing other numerical experiments using a language that is mostly compatible with MATLAB. It may also be used as a batch-oriented language
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Logarithm
In mathematics, the logarithm is the inverse operation to exponentiation, just as division is the inverse of multiplication. That means the logarithm of a number is the exponent to which another fixed number, the base, must be raised to produce that number. In the most simple case the logarithm counts repeated multiplication of the same factor; e.g., since 1000 = 10 × 10 × 10 = 103, the "logarithm to base 10" of 1000 is 3. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb (x) (or logb x when no confusion is possible), is the unique real number y such that by = x. For example, log2 64 = 6, as 64 = 26. The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering
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Nth Root
In mathematics, an n-th root of a number x, where n is usually assumed to be a positive integer, is a number r which, when raised to the power n yields x: r n = x , displaystyle r^ n =x, where n is the degree of the root. A root of degree 2 is called a square root and a root of degree 3, a cube root. Roots of higher degree are referred by using ordinal numbers, as in fourth root, twentieth root, etc. For example:3 is a square root of 9, since 32 = 9. −3 is also a square root of 9, since (−3)2 = 9.Any non-zero number, considered as complex number, has n different "complex roots of degree n" (n-th roots), including those with zero imaginary part, i.e. any real roots. The root of 0 is zero for all degrees n, since 0n = 0
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Divided (other)
Divided
Divided
refers to arithmetic division in mathematics. Divided
Divided
may also refer to: Divided
Divided
(game show), a British game show Divided
Divided
(U.S. game show), a U.S
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Polynomial
In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. An example of a polynomial of a single indeterminate x is x2 − 4x + 7. An example in three variables is x3 + 2xyz2 − yz + 1. Polynomials appear in a wide variety of areas of mathematics and science. For example, they are used to form polynomial equations, which encode a wide range of problems, from elementary word problems to complicated problems in the sciences; they are used to define polynomial functions, which appear in settings ranging from basic chemistry and physics to economics and social science; they are used in calculus and numerical analysis to approximate other functions
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Variable (mathematics)
In elementary mathematics, a variable is a symbol, commonly an alphabetic character, that represents a number, called the value of the variable, which is either arbitrary, not fully specified, or unknown. Making algebraic computations with variables as if they were explicit numbers allows one to solve a range of problems in a single computation. A typical example is the quadratic formula, which allows one to solve every quadratic equation by simply substituting the numeric values of the coefficients of the given equation to the variables that represent them. The concept of a variable is also fundamental in calculus. Typically, a function y = f(x) involves two variables, y and x, representing respectively the value and the argument of the function
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Rational Number
In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.[1] Since q may be equal to 1, every integer is a rational number. The set of all rational numbers, often referred to as "the rationals", the field of rationals or the field of rational numbers is usually denoted by a boldface Q (or blackboard bold Q displaystyle mathbb Q , Unicode ℚ);[2] it was thus denoted in 1895 by Giuseppe Peano
Giuseppe Peano
after quoziente, Italian for "quotient". The decimal expansion of a rational number always either terminates after a finite number of digits or begins to repeat the same finite sequence of digits over and over. Moreover, any repeating or terminating decimal represents a rational number. These statements hold true not just for base 10, but also for any other integer base (e.g
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Solidus (punctuation)
؋ ​₳ ​ ฿ ​₿ ​ ₵ ​¢ ​₡ ​₢ ​ $ ​₫ ​₯ ​֏ ​ ₠ ​€ ​ ƒ ​₣ ​ ₲ ​ ₴ ​ ₭ ​ ₺ ​₾ ​ ₼ ​ℳ ​₥ ​ ₦ ​ ₧ ​₱ ​₰ ​£ ​ 元 圆 圓 ​﷼ ​៛ ​₽ ​₹ ₨ ​ ₪ ​ ৳ ​₸ ​₮ ​ ₩ ​ ¥ 円Uncommon typographyasterism ⁂fleuron, hedera ❧index, fist ☞interrobang ‽irony punctuation ⸮lozenge ◊tie ⁀RelatedDiacritics Logic symbolsWhitespace charactersIn other scriptsChinese Hebrew Japanese Korean Category Portal Bookv t eThe slash is an oblique slanting line punctuation mark. Once used to mark periods and commas, the slash is now most often used to represent exclusive or inclusive or, division and fractions, and as a date separator
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Closure (mathematics)
A set has closure under an operation if performance of that operation on members of the set always produces a member of the same set; in this case we also say that the set is closed under the operation. For example, the positive integers are closed under addition, but not under subtraction: 1 − 2 displaystyle 1-2 is not a positive integer even though both 1 and 2 are positive integers
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MATLAB
MATLAB
MATLAB
(matrix laboratory) is a multi-paradigm numerical computing environment. A proprietary programming language developed by MathWorks, MATLAB
MATLAB
allows matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other languages, including C, C++, C#, Java, Fortran
Fortran
and Python. Although MATLAB
MATLAB
is intended primarily for numerical computing, an optional toolbox uses the MuPAD
MuPAD
symbolic engine, allowing access to symbolic computing abilities
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