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Arithmetic mean (3619 bytes)
1: ... could occur more than once in such a "set".) The arithmetic mean is what pupils are taught very early to call... 5: ...The symbol μ (Greek: mu) is used to denote the arithmetic mean of a population. We use the name of the vari... 7: :<math>\bar{x}={\rm arithmetic\ mean}=(x_1+\cdots+x_n)/n.</math> 9: ..." annual income in [[Redmond, Washington]] as the arithmetic mean of all annual incomes would yield a surprisi... 11: ...rease per year over this three year period as the arithmetic mean (10% + 30% + (−10%))/3 = 10%; the corr... Arithmetic (2548 bytes) 1: '''Arithmetic''' or '''arithmetics''' (from the [[Greek]] word ''αρι... 3: ...]]) are also sometimes included in this subject. Arithmetic is performed according to an [[order of operation... 5: ...r]]s, [[computer]]s, or the [[abacus]] to perform arithmetical computations. 7: ...o such phrases as ''first order arithmetic'' or ''arithmetical algebraic geometry''. 15: *[[finite field arithmetic]] Cube (arithmetic) (1518 bytes) 3: In [[arithmetic]] and [[algebra]], the '''cube''' of a number ''n... Verbal arithmetic (3123 bytes) 1: ...'', also known as '''cryptarithmetic''', '''crypt-arithmetic''', or '''cryptarithm''', is a type of [[mathemat... 3: The equation is typically a basic operation of [[arithmetic]], such as [[addition]] or [[multiplication]]. T... 11: ... represent a different digit, and (as in ordinary arithmetic notation) the leading digit of a multi-digit numb... 15: ... was invented by [[Sam Loyd]]. The name '''crypt-arithmetic''' was coined by puzzlist Minos (pseudonym of [[M... 21: The use of [[modular arithmetic]] often helps. In particular, the familiar check... Arithmetic underflow (962 bytes) 2: The term '''arithmetic underflow''' or simply '''underflow''' has the fo... 6: For [[floating point|floating-point]] arithmetic, an underflow occurs when the magnitude of an int... 8: [[Category:Computer arithmetic]] Generating arithmetic (5164 bytes) 1: ... retrospect as closing a chapter on the status of arithmetic. 9: ...imed that ''all of mathematics can be mapped into arithmetic''. 27: ...toil") discover, for themselves, the rules of one arithmetic by applying (the "most sacred rule" of) 28: equivalence to an already founded arithmetic. Thus, able students (by "honest toil") discover ... 30: ...atic procedure does not explain the properties of arithmetic as generated from basic properties with informal ... Pointer arithmetic (1513 bytes) 3: '''Pointer arithmetic''' is a particular [[arithmetic]] involving [[pointer]]s, typical of the [[C prog... 5: In pointer arithmetic, the unit is the size of the pointer's type. For ... 7: Pointer arithmetic provides the programmer with a single way of deal... 9: ...on can be an ordinary arithmetic one or a pointer arithmetic one, and sometimes it is easy to mistake one for ... 11: ...ng addresses, so concepts of pointers and pointer arithmetic are not relevant. This is often deliberate, as ma... Clock arithmetic (1025 bytes) 1: ...thmetic''' is a term sometimes used for [[modular arithmetic]] when the modulus is 12. It refers to the behavi... 3: ...s called the ''modulus'', hence the name "modular arithmetic." 6: However, unlike clock faces, numbers in modular arithmetic may start with any number. [[Musical set theory]]... Precision (arithmetic) (1785 bytes) 4: ...l be rounded. For example, in [[floating-point]] arithmetic, a result is rounded to a given or fixed precisio... Significance arithmetic (3948 bytes) 1: '''[[Significance arithmetic]]''' is a collection of rules-of-thumb which atte... 7: ==Multiplication and division using significance arithmetic== 21: ==Addition and subtraction using significance arithmetic== 49: ...thmetic FAQ] for a discussion of why significance arithmetic results in grossly inaccurate error bounds. The ... 52: [[Category:Arithmetic]][[Category:Statistics]] Location arithmetic (60508 bytes) 4: to do [[binary arithmetic]] using a chessboard-like grid. 5: He termed his technique '''Location arithmetic''' (Latin 6: ''arithmeticæ localis'') from the way that positions of c... 73: to explain his techniques to do arithmetic. However, we'll 79: Location arithmetic uses a square grid where each square on Roman arithmetic (7290 bytes) 1: ...o that, the student needs to learn how to perform arithmetic operations in the native [[numeral system]]. 3: The two most basic operations of arithmetic are [[addition]] and [[subtraction]]. [[Multipli... 5: ...subtractive notation from the numerals before any arithmetic operations. The subtractive notion is then reapp... 11: All arithmetic operations can be broken down to combinations of ... 76: ...numerals, the other two traditional operations of arithmetic, multiplication and division, can now be accompli... Arithmetic group (1197 bytes) 1: In [[mathematics]], an '''arithmetic group''' ('''arithmetic subgroup''') in a [[linear algebraic group]] ''G'... 3: ...lis]] on [[superrigidity]]. The general theory of arithmetic groups was developed by [[Armand Borel]] and [[Ha... Arithmetic progression (2148 bytes) 1: ... instance, the sequence 3, 5, 7, 9, 11, ... is an arithmetic progression with common difference 2. 3: If the initial term of an arithmetic progression is ''a'' and the common difference of... 9: ...'''arithmetic series'''. A convenient formula for arithmetic [[Series (mathematics)|series]] is available. The... 28: ...ttp://mathworld.wolfram.com/ArithmeticSeries.html Arithmetic series - from Mathworld] Arithmetic shift (632 bytes) 1: ... rounding; compare the [[logical shift]] with the arithmetic shift, especially in the case of [[floating-point... Arithmetic overflow (752 bytes) 2: The term '''arithmetic overflow''' or simply '''overflow''' has the foll... Modular arithmetic (3557 bytes) 1: ...r [[integer]]s, sometimes referred to as "[[clock arithmetic]]", where numbers "wrap around" after they reach ... 2: ...s 14 in conventional [[arithmetic]], in modulo 12 arithmetic the answer is two, as two is the remainder after ... 35: ...are further developed in the article on [[modular arithmetic theory]]. 39: Modular arithmetic is applied in [[number theory]], [[abstract algeb... 41: ...hnique|twelve tone]] music. In visual art modular arithmetic can be used to create artistic patterns based on ... Presburger arithmetic (2930 bytes) 1: ...m [[Gödel's incompleteness theorem]] that general arithmetic cannot be both consistent and complete. 3: Presburger arithmetic is an interesting example in [[computational comp... 13: ...r prime number cannot be formalized in Presburger arithmetic. Here is a typical theorem that can be proven fro... 19: ...abin: "Super-Exponential Complexity of Presburger Arithmetic". ''Proceedings of the SIAM-AMS Symposium in Appl... Arithmetic function (1972 bytes) 1: ...plex number|complex numbers]]. In other words: an arithmetic function is nothing but a [[sequence]] of complex... 3: The most important arithmetic functions are the [[additive function|additive]] ... 5: An important operation on arithmetic functions is the [[Dirichlet convolution]]. 7: Arithmetic functions may be studied with [[Bell series]]. 11: ...tiplicative functions contain several examples of arithmetic functions. Here are some examples that are neithe... Arithmetic-geometric mean (2495 bytes) 1: ... ''y'' is defined as follows: we first form the [[arithmetic mean]] of ''x'' and ''y'' and call it ''a''<sub>1... 10: ...nverge]] to the same number, which we call the '''arithmetic-geometric mean''' M(''x'', ''y'') of ''x'' and ''... 12: ...x'', ''y'') is a number between the geometric and arithmetic mean of ''x'' and ''y''; in particular it is betw... 17: ... the [[Scheme programming language]] computes the arithmetic-geometric mean of two positive real numbers: 27: ;; just return the arithmetic mean
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