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  • Criticality (nuclear)/Definition
    #REDIRECT [[Effective neutron multiplication factor/Definition]]
    64 bytes (6 words) - 21:27, 26 November 2012
  • Ring homomorphism/Definition
    Function between two rings which respects the operations of addition and multiplication.
    125 bytes (15 words) - 19:09, 4 September 2009
  • Absorbing element
    ...element''' for a [[binary operation]] has a property similar to that of [[multiplication]] by [[zero]]. ...ent) of a [[ring (mathematics)|ring]] is an absorbing element for the ring multiplication.
    726 bytes (112 words) - 15:21, 21 December 2008
  • Ring theory/Definition
    ...ical theory of algebraic structures with binary operations of addition and multiplication.
    138 bytes (16 words) - 12:16, 2 January 2009
  • Associativity/Definition
    A property of an algebraic operation such as multiplication: a(bc) = (ab)c.
    111 bytes (16 words) - 02:29, 5 December 2008
  • Linear map/Definition
    ...vector spaces that preserves the operations of vector addition and scalar multiplication.
    147 bytes (18 words) - 09:35, 4 September 2009
  • Dot product/Definition
    A type of [[vector]] multiplication in [[Euclidean space]]s which produces a [[scalar]] result.
    131 bytes (17 words) - 13:46, 7 July 2008
  • Field automorphism/Definition
    ...om a field onto itself which respects the field operations of addition and multiplication.
    151 bytes (20 words) - 16:36, 20 November 2008
  • Tumour/Definition
    Abnormal growth of tissue resulting from uncontrolled, progressive multiplication of cells and serving no physiological function.
    166 bytes (19 words) - 22:17, 8 September 2009
  • Identity element/Definition
    ...ect to a binary operation generalises that of zero for addition or one for multiplication.
    162 bytes (23 words) - 02:15, 6 December 2008
  • Infection/Definition
    Invasion and multiplication of microorganisms in body tissues, especially that causing local cellular i
    242 bytes (28 words) - 20:26, 5 September 2009
  • Distributivity/Definition
    A relation between two binary operations on a set generalising that of multiplication to addition: a(b+c)=ab+ac.
    148 bytes (23 words) - 02:11, 6 December 2008
  • Matrix multiplication
    #REDIRECT [[Matrix#Matrix multiplication]]
    42 bytes (4 words) - 15:25, 12 December 2008
  • Identity matrix/Definition
    ...on the main diagonal and zeroes elsewhere: the identity element for matrix multiplication.
    152 bytes (21 words) - 13:19, 5 December 2008
  • Commutativity/Definition
    A property of a binary operation (such as addition or multiplication), that the two operands may be interchanged without affecting the result.
    178 bytes (25 words) - 06:20, 6 December 2008
  • Multiplication
    '''Multiplication''' is the [[binary operation|binary]] [[operation (mathematics)|mathematica Multiplication can be visualised as counting objects arranged in a [[rectangle]] (for natu
    5 KB (638 words) - 14:16, 17 December 2008
  • Absorbing element/Definition
    ...pect to an algebraic binary operation is like that of zero with respect to multiplication.
    161 bytes (23 words) - 02:25, 5 December 2008
  • Printmaking/Definition
    ...on fabric, parchment, plastic, or other support, by various techniques of multiplication.
    209 bytes (28 words) - 21:28, 10 September 2009
  • Division (arithmetic)/Definition
    ...equired to make up another; repeated subtraction; the inverse operation to multiplication.
    188 bytes (26 words) - 13:26, 6 December 2008
  • Boolean algebra/Definition
    A form of logical calculus with two binary operations ''AND'' (multiplication, •) and ''OR'' (addition, +) and one unary operation ''NOT'' (negation, ~
    238 bytes (31 words) - 12:17, 14 July 2011
  • Product (mathematics)/Definition
    The result of the [[multiplication]] of two terms: e.g., the 21 in 3*7=21.
    110 bytes (15 words) - 10:24, 7 April 2010
  • Evolutionary biology/Definition
    The study of the origin and descent of species, as well as their change, multiplication, and diversity over time.
    149 bytes (22 words) - 16:06, 23 May 2008
  • Distributivity
    ...operation]]s which generalises the relationship between [[addition]] and [[multiplication]] in [[elementary algebra]] known as "multiplying out". For these elementa * In a [[ring (mathematics)|ring]], the multiplication distributes over the addition.
    2 KB (226 words) - 13:15, 18 November 2022
  • Convolution (mathematics)
    where the addition and multiplication are those of ''R''. For this sum to make sense it must be finite. If ''M' ...on as the operation. The corresponding convolution is [[polynomial ring]] multiplication.
    2 KB (338 words) - 17:41, 23 December 2008
  • Logarithm/Definition
    ..., as subtraction is the inverse of addition and division is the inverse of multiplication.
    151 bytes (20 words) - 09:11, 1 June 2008
  • Vierergruppe
    == Multiplication table == The [[multiplication table]] of the group is
    3 KB (395 words) - 11:25, 30 July 2009
  • International Data Encryption Algorithm
    ...ust bitwise XOR and addition modulo 2<sup>16</sup>. The third is basically multiplication, modulo 2<sup>16</sup>+1, but modified so that the "x*0 yields zero for all == IDEA multiplication ==
    4 KB (558 words) - 05:49, 8 April 2024
  • Scalar product (disambiguation)
    In mathematics, scalar product is a type of vector multiplication. More precisely it may refer to
    242 bytes (36 words) - 12:38, 31 May 2009
  • Identity element
    ...cept of [[zero]] with respect to [[addition]] or [[one]] with respect to [[multiplication]]. * An [[identity matrix]] is the identity element for [[matrix multiplication]]; a [[zero matrix]] is the identity element for [[matrix addition]].
    927 bytes (140 words) - 15:33, 8 December 2008
  • Pointwise operation
    ...tion]] and [[multiplication]] the phrases "pointwise addition", "pointwise multiplication" are often used to denote their pointwise extension.
    1,002 bytes (157 words) - 13:37, 8 March 2009
  • Field (mathematics)
    ...the set of complex numbers are all ''fields'' under the usual addition and multiplication operations. *When we exclude the number 0, they form an [[abelian group]] under multiplication as well.
    3 KB (496 words) - 22:16, 7 February 2010
  • Binary operation/Related Articles
    {{r|Multiplication}}
    304 bytes (41 words) - 13:19, 6 December 2008
  • Arithmetic
    ...nd such fields. The basic arithmetic operations are addition, subtraction, multiplication, division, raising to integral powers, and extraction of integral roots. Th # There is a commutative binary operation, called ''multiplication'' (denoted by &times;) and the field ℝ is closed under this operation. Fo
    4 KB (562 words) - 18:28, 5 January 2010
  • Semigroup
    ...tivating example of a semigroup is the set of positive [[integer]]s with [[multiplication]] as the operation. * The positive integers under multiplication form a commutative semigroup.
    3 KB (405 words) - 16:21, 13 November 2008
  • Dyadic product
    Or, equivalently, by use of the [[associative law]] valid for matrix multiplication, ==Multiplication==
    3 KB (650 words) - 08:22, 2 December 2009
  • Addition/Related Articles
    {{r|Multiplication}}
    243 bytes (26 words) - 13:20, 6 December 2008
  • Modular arithmetic
    ...metic when the modulus is two. They can be described through addition and multiplication tables: [[Image:Mod2mult.jpg|multiplication table modulo two]] [[Image:Mod2add.jpg|addition table modulo two]]
    2 KB (267 words) - 13:18, 6 December 2008
  • Identity (mathematics)
    ** The [[identity matrix]], the neutral element for [[matrix multiplication]].
    591 bytes (78 words) - 12:52, 31 May 2009
  • Monoid
    ...motivating example of a monoid is the set of positive [[integer]]s with [[multiplication]] as the operation. * The positive integers under multiplication form a commutative monoid, with one as identity element.
    3 KB (526 words) - 11:02, 23 December 2008
  • Rectangle/Related Articles
    {{r|Multiplication}}
    548 bytes (69 words) - 19:56, 11 January 2010
  • Albert algebra
    where <math>\cdot</math> denotes matrix multiplication.
    619 bytes (88 words) - 13:53, 14 November 2008
  • Associativity
    Examples of associative operations are [[addition]] and [[multiplication]] of [[integer]]s, [[rational number]]s, [[real number|real]] and [[complex An important example of an algebraic structure in which the multiplication is not associative is the [[octonion]]s.
    2 KB (295 words) - 14:56, 12 December 2008
  • Euclid's lemma/Related Articles
    {{r|Multiplication}}
    480 bytes (62 words) - 16:24, 11 January 2010
  • Factor system
    are called ''split''. Cocycles under multiplication modulo split cocycles form a group, the second cohomology group H<sup>2</su ...field, generated by the elements λ in ''L'' and ''u''<sub>''g''</sub> with multiplication
    3 KB (519 words) - 15:42, 2 January 2013
  • Pointwise operation/Related Articles
    {{r|Multiplication}}
    541 bytes (67 words) - 19:36, 11 January 2010
  • Ring (mathematics)
    ...structure]] with two binary operations, commonly called ''addition'' and ''multiplication''. These operations are defined so as to emulate and generalize the [[integ ...tiplication in general does not satisfy these properties. A ring in which multiplication is commutative and every element except the additive identity element (0) h
    10 KB (1,667 words) - 13:47, 5 June 2011
  • Distributivity/Related Articles
    {{r|Multiplication}}
    626 bytes (79 words) - 16:01, 11 January 2010
  • Pi (Greek letter)/Related Articles
    {{r|Multiplication}}
    511 bytes (66 words) - 19:32, 11 January 2010
  • Elementary function/Related Articles
    {{r|Multiplication}}
    682 bytes (88 words) - 10:48, 4 October 2013
  • Finite field
    ...fields <math>\mathbb{F}_p := \mathbb{Z}/(p)</math> (with the addition and multiplication induced from the ...Furthermore, note that the set of roots of f is closed under addition and multiplication; hence
    2 KB (406 words) - 20:45, 8 February 2010
  • Commutativity/Related Articles
    {{r|Multiplication}}
    858 bytes (112 words) - 15:35, 11 January 2010
  • Dirichlet series
    ...consistent with the values achieved within the region of convergence: the multiplication formula is known as ''Dirichlet convolution''. ...a_n n^{-S}</math> with coefficients <math>a_n \in R</math>. Addition and multiplication are now defined purely formally, with no questions of convergence, by the f
    2 KB (398 words) - 11:44, 15 June 2009
  • Commutativity
    Examples of commutative operations are [[addition]] and [[multiplication]] of [[integer]]s, [[rational number]]s, [[real number|real]] and [[complex
    695 bytes (102 words) - 19:40, 31 January 2009
  • Approximation theory
    ...impler operations that can be performed on the computer (e.g. addition and multiplication), such that the result is as close to the actual function as possible. This
    985 bytes (130 words) - 01:40, 14 February 2010
  • Multiplication/Related Articles
    Auto-populated based on [[Special:WhatLinksHere/Multiplication]]. Needs checking by a human.
    969 bytes (124 words) - 18:42, 11 January 2010
  • Dot product
    ...ematics and physics. In <math>\mathbb{R}^3</math> there is another type of multiplication called the [[cross product]] ( or vector product), but it is only defined a
    3 KB (575 words) - 12:41, 14 February 2011
  • Idempotent element
    is an idempotent for [[matrix multiplication]] corresponding to the operation of projection onto the ''x''-axis along th
    1,007 bytes (146 words) - 16:14, 13 December 2008
  • Identity matrix
    ...o zero. The identity matrix acts as the [[identity element]] for [[matrix multiplication]]. Its entries are those of the [[Kronecker delta]]. The identity matrix
    1,020 bytes (136 words) - 10:39, 23 April 2009
  • Applied statistics/Tutorials
    ===The multiplication rule=== '''Step 3''' is to apply the multiplication rule and get the answer:<br>
    6 KB (978 words) - 23:00, 25 October 2013
  • Kilowatt hour
    ...urs or 3.6 [[SI#prefixes|mega]][[joule]]s. Energy in kilowatt hours is the multiplication of [[Power (physics)|power]] in [[SI#prefixes|kilo]][[watt]]s and [[time]] ...on 5.1 Symbols.</ref> states that when compound unit symbols are formed by multiplication, the individual symbols should be separated by a half-high dot or a space (
    2 KB (368 words) - 21:30, 21 January 2022
  • Linear combination
    ...d by combining vectors using the [[vector addition|addition]] and [[scalar multiplication]] operations can be [[simplify (mathematics)|simplified]] to a linear combi
    911 bytes (137 words) - 22:56, 25 November 2008
  • Division (arithmetic)/Related Articles
    {{r|Multiplication}}
    948 bytes (147 words) - 14:57, 6 December 2008
  • Integer
    ...is closed below the [[binary operation|operations]] of [[addition]] and [[multiplication]], that is, the sum and product of any two integers is an integer. Also, un The following lists some of the basic properties of addition and multiplication for any integers ''a'', ''b'' and ''c''.
    10 KB (1,566 words) - 08:34, 2 March 2024
  • Zero matrix
    ...al to zero. The zero matrix acts as an [[absorbing element]] for [[matrix multiplication]] and as the [[additive identity]] for [[matrix addition]]. It represents
    1 KB (172 words) - 16:40, 6 February 2009
  • Ring (mathematics)/Related Articles
    {{r|Multiplication}}
    1 KB (174 words) - 20:03, 11 January 2010
  • Algebra over a field
    ...or space]] over ''F'' equipped with a further [[algebraic structure]] of [[multiplication]] compatible with the vector space structure.
    1 KB (155 words) - 15:55, 23 December 2008
  • Polynomial/Advanced
    ...one or more [[variable]]s by making a finite number of [[addition]]s and [[multiplication]]s. For instance, <math>x^2-2x+1</math> is a polynomial involving one varia ...s in an arbitrary ring form a ring themselves, with the usual addition and multiplication operations for polynomials, called a [[polynomial ring]].
    10 KB (1,741 words) - 10:04, 3 January 2009
  • Binary operation
    ...hmetic]] and [[elementary algebra]]ic operations of addition, subtraction, multiplication and division.
    1 KB (202 words) - 12:53, 12 December 2008
  • Vector space
    and these notions of vector addition and scalar multiplication are defined in a more general sense (as we will see below). ...and which is equipped with two [[operation]]s, vector addition and scalar multiplication.
    15 KB (2,506 words) - 05:16, 11 May 2011
  • Dyscalculia
    ...f addition and subtraction and may not understand complex problems such as multiplication, division, and more abstract problems. Because they cannot understand these ...ive arts. But, inconsistent results when completing addition, subtraction, multiplication and division problems complicate the ability to make long-term financial pl
    4 KB (631 words) - 03:57, 7 October 2013
  • Constant folding
    ...three multiplication operations and two addition operations with a simple multiplication and a single addition. Additionally, since data types generally occupy a p
    3 KB (572 words) - 07:34, 26 September 2007
  • Linear equation
    ...]] that can be written so that each term is either a [[constant]] or the [[multiplication|product]] of a constant with a variable. In other words, a linear equation ...s)|operation]]s of elementary arithmetic ([[addition]], [[subtraction]], [[multiplication]], and [[division]]) and their properties.
    6 KB (982 words) - 03:09, 8 March 2024
  • Polynomial/Related Articles
    {{r|Multiplication}}
    2 KB (206 words) - 19:38, 11 January 2010
  • Quaternions
    ...<math>j</math> and <math>k</math> natural operations such as addition and multiplication? As it happens, we can define such mathematical operations in a consistent ...isingly straightforward. The main difficulty is that [[commutativity]] in multiplication is lost &mdash; for two quaterions ''q''<sub>1</sub> and ''q''<sub>2</sub>
    7 KB (1,160 words) - 07:41, 22 December 2008
  • Group theory
    ...having thd property that a) the ordinary algebraic operations of addition, multiplication, taking reciprocals and multiplying by a real number and b) the polynomial ...nt called 0. Conversely, non-abelian groups often (but not always) use the multiplication operator <math>\cdot</math> and call the identity element 1. Again, the not
    15 KB (2,535 words) - 20:29, 14 February 2010
  • Division (arithmetic)
    Division may also be viewed as the inverse operation to [[multiplication]], seen as repeated addition. Symbolically, if ''c'' is the product of ''a
    1 KB (200 words) - 07:54, 7 December 2008
  • Diagonal matrix
    The [[matrix addition|sum]] and [[matrix multiplication|product]] of diagonal matrices are again diagonal, and the diagonal matrice
    2 KB (230 words) - 02:39, 7 January 2009
  • Linear map
    ...rves the operations of vector addition and [[Scalar (mathematics)|scalar]] multiplication.
    1 KB (196 words) - 17:24, 20 December 2007
  • Exponent
    ...tiplication can, even though exponents are initially defined by successive multiplication. If we try to distribute, we find ...little strange --- the addition in the exponent on the left side becomes ''multiplication'' on the right side. Typically, <math>a^{m+n} \neq a^m + a^n</math>, as yo
    8 KB (1,297 words) - 14:49, 12 December 2008
  • Complex number
    ...ibly associate with <math>i</math> natural operations such as addition and multiplication? As it happens, we can define mathematical operations for these "complex nu Multiplication is more interesting. Suppose we want to compute <math>\scriptstyle (a+b \cd
    18 KB (3,028 words) - 17:12, 25 August 2013
  • Algebra/Related Articles
    {{r|Multiplication}}
    2 KB (247 words) - 06:00, 7 November 2010
  • Matrix
    === Scalar multiplication === === Matrix multiplication ===
    15 KB (2,209 words) - 02:10, 14 February 2010
  • Cyberterrorism
    ===Force multiplication bydisabling emergency response systems===
    5 KB (710 words) - 07:27, 18 March 2024
  • Vector rotation
    ...l. Additional rotations are then used for the turret rotation by a second multiplication. ...hat is '''R'''(V<sub>1</sub>) = V<sub>2</sub>) can be calculated simply by multiplication and [[dot product|dot products]], without using either inverse trigonometry
    4 KB (645 words) - 08:16, 22 April 2023
  • Binary numeral system
    ...similar to arithmetic with decimal numerals, except that the addition and multiplication tables are much simpler: ...ecimal numerals, but using the corresponding rules for binary addition and multiplication. Non-integer quantities can be represented as binary digits to the right of
    8 KB (1,318 words) - 08:17, 25 September 2007
  • Hall polynomial
    ...a]] <math>H(p)</math> with symbols <math>u_\lambda</math> a generators and multiplication given by the <math>g^\lambda_{\mu,\nu}</math> as structure constants
    2 KB (264 words) - 22:53, 19 February 2010
  • Rational number
    The rule for multiplication is .../math>, with <math>b</math> not equal to zero. We can define addition and multiplication of these pairs with the following rules:
    9 KB (1,446 words) - 08:52, 30 May 2009
  • Group (mathematics)
    ...ples are the group of non-singular [[matrix (mathematics)|matrices]] under multiplication and the group of [[Inverse function|invertible functions]] under [[Function ! Convention !! Multiplication !! Addition
    19 KB (3,074 words) - 11:11, 13 February 2009
  • Complex number/Citable Version
    ...ibly associate with <math>i</math> natural operations such as addition and multiplication? As it happens, we can define mathematical operations for these "complex nu Multiplication is more interesting. Suppose we want to compute <math>(a+bi)(c+di)</math>.
    20 KB (3,304 words) - 17:11, 25 August 2013
  • Euclid's lemma
    ...ndria]], states that if a [[prime number]] ''p'' is a [[divisor]] of the [[multiplication|product]] of two [[integer]]s, ''ab'', then either ''p'' is a divisor of ''
    2 KB (322 words) - 12:51, 18 December 2007
  • Localisation (ring theory)
    ...a commutative ring and ''S'' a non-empty [[subset]] of ''R'' closed under multiplication. The localisation <math>S^{-1}R</math> is an ''R''-[[algebra over a ring|a
    2 KB (312 words) - 09:18, 21 October 2009
  • Ordered field
    ...sitive cone''', a subset ''C'' of ''F'' which is closed under addition and multiplication, contains the 0 and 1 elements, and which has the properties that
    2 KB (314 words) - 02:23, 23 November 2008
  • Commutative algebra
    ...f ''commutative [[ring (mathematics)|ring]]'' assumes commutativity of the multiplication operation and usually the existence of a multiplicative identity in additio
    2 KB (338 words) - 10:01, 23 December 2008
  • Basis (linear algebra)/Advanced
    ...ian group]] <math>\mathbb{Q}^{+}</math> of positive rational numbers under multiplication is a module over the integers. The prime numbers are a basis for <math>\ma
    2 KB (371 words) - 00:36, 2 February 2009
  • Pythagorean theorem
    [[cross multiplication|Cross multiplying]] both equations gives:
    2 KB (369 words) - 16:12, 1 February 2010
  • Natural number
    [[Multiplication]] can be considered as multiple addition, Multiplication of two or more numbers also does not depend on the order
    16 KB (2,562 words) - 00:45, 13 October 2009
  • Derivation (mathematics)
    Consider the multiplication map μ on the [[tensor product]] (over ''R'')
    2 KB (361 words) - 16:44, 4 January 2013
  • Scientific notation
    ...math> (In computer programming use, and in many spreadsheet programs, the multiplication symbol and the 10 are replaced by an '''E''': <math>3.25 E+8 </math> for <m
    2 KB (385 words) - 19:06, 3 September 2008
  • Algebra
    ...the basic ideas of algebra, including effects of [[addition|add]]ing and [[multiplication|multiply]]ing [[number]]s, the concept of [[variables]], definition of [[po ...], variables, and [[set]] [[element (mathematics)|elements]]. Addition and multiplication are viewed as general [[operation (mathematics)|operations]], and their pre
    18 KB (2,669 words) - 08:38, 17 April 2024
  • Polish notation
    ...r ''priority'' or ''[[operator precedence|precedence]]'', for example that multiplication precedes addition and then use brackets to show that the usual priority is
    2 KB (380 words) - 16:21, 1 February 2009
  • Dice game
    * Multiplication
    2 KB (292 words) - 09:06, 26 September 2007
  • Field automorphism
    ...the field onto itself which respects the fields operations of addition and multiplication.
    3 KB (418 words) - 12:18, 20 December 2008
  • Pseudo-Hadamard transform
    The transform can also be expressed as a matrix multiplication of a data vector by the appropriate member of a recursively-defined set of
    2 KB (395 words) - 05:48, 8 April 2024
  • Fraction (mathematics)
    ...on arithmetic operations on fractions are [[addition]], [[subtraction]], [[multiplication]], and [[division (arithmetic)|division]]. When adding and subtracting, we ...ltiplication subsection, since fraction addition usually involves fraction multiplication.
    21 KB (3,089 words) - 10:08, 28 February 2024
  • Unique factorization
    ...ers as "atoms" from which all other whole numbers can be assembled through multiplication. Unique factorization is the foundation for most of the structure of whole
    3 KB (479 words) - 12:12, 9 April 2008
  • Fourier transform
    ...ransform is that it changes [[convolution (mathematics)|convolution]] into multiplication. Suppose we have two functions: g(t) and h(t) that we wish to convolve (the
    3 KB (547 words) - 07:21, 24 December 2008
  • Moment of a force
    ...e as the units for work done, [[joule]] (J), which is also formed from the multiplication of a force with a distance. However, being two distinct and separate physic
    4 KB (619 words) - 13:24, 20 March 2011
  • Minimal polynomial
    ...α). This field is a finite dimension al vector space over ''F'', on which multiplication by α is an ''F''-linear endomorphism. The minimal polynomial of α is equ
    4 KB (613 words) - 02:34, 4 January 2013
  • Quadratic equation/Advanced
    Multiplication in this ring is performed by multiplying the representative integers and ta ...ivision is not a ring operation, we must be careful to view this step as a multiplication by the multiplicative inverse of <math>2a</math>. It is very possible that
    10 KB (1,580 words) - 08:52, 4 March 2009
  • Eigenvalue
    Then their [[matrix multiplication|matrix product]] is
    4 KB (731 words) - 17:16, 11 December 2008
  • Group (mathematics)/Catalogs
    ...nted by addition [[modular arithmetic|modulo]] 2 or the set {-1, 1} under multiplication.
    5 KB (819 words) - 10:52, 15 September 2009
  • Cardinal number
    As with ordering, addition and multiplication are very simple in the presence of the axiom of choice, and very little can ...be proved about cardinal exponentiation in general than about addition and multiplication, even with the axiom of choice. One well known result is Cantor's theorem,
    11 KB (1,808 words) - 17:50, 26 June 2009
  • Newton's method
    ...of <math>x \cdot x</math>) with Newton's method is proportional to that of multiplication.
    17 KB (2,889 words) - 12:40, 11 June 2009
  • Block cipher/Catalogs/Cipher table
    ...A]]</td><td></td><td>64</td><td>128</td><td>8</td><td>none</td><td>modular multiplication</td><td>Europe</td><td></td><td></td><td></td>
    7 KB (1,292 words) - 12:20, 27 July 2010
  • John Napier
    ...remembered as the inventor of [[logarithm]]s and "[[Napier's bones]]", (a multiplication tool using a set of numbered ivory rods)<ref> published in his ''Rabdologia In 1614, Napier described how logarithms could be used to simplify the multiplication of large numbers, and published tables of logarithms to facilitate this<ref
    12 KB (1,843 words) - 13:57, 29 March 2009
  • Power series
    ...sum a_n X^n</math> with coefficients <math>a_n \in R</math>. Addition and multiplication are now defined purely formally, with no questions of convergence, by the f
    4 KB (785 words) - 14:27, 14 March 2021
  • X86
    ...e of two 16-bit registers, each with a maximum value of 65,536, and simple multiplication to address up to 1 MB. The segment, the first number in the segment:offset
    4 KB (561 words) - 14:55, 7 July 2009
  • Galois theory
    ...la involving only ordinary arithmetical operations (addition, subtraction, multiplication, division and rational powers) on the coefficients.
    4 KB (683 words) - 22:17, 7 February 2010
  • Isogeny
    ...[function composition|composite]] <math>\phi \cdot \hat\phi</math> is just multiplication by ''d''.
    4 KB (647 words) - 15:51, 7 February 2009
  • Adjoint (operator theory)
    ...property of the inner product on complex Hilbert space. The fact that the multiplication order of the operators reverts under the turnover rule follows thus
    5 KB (914 words) - 08:41, 17 October 2009
  • Superfunction
    For simple function <math>f</math>, such as addition of a constant or multiplication by a constant, ===Multiplication===
    21 KB (3,134 words) - 09:12, 10 October 2013
  • Lie algebra
    ...'''k''' together with the [[commutator#Ring theory|commutator]] of matrix multiplication, i.e. <math>[A,B]=A\circ B -B\circ A</math>. A straightforward computation ...are skew-[[hermitean]]. Note that these form only a real Lie algebra, as multiplication with a general complex number does not preserve skew-hermiticity.
    12 KB (1,918 words) - 20:29, 22 December 2011
  • Bacteriophage experimental evolution
    ...t possesses likewise the two corollaries of these powers; the faculties of multiplication and variability as everyone admits. (pp. 267-268)}} ...e endowed with the powers of assimilation and adaptation, the faculties of multiplication and of variation. They are this necessarily living beings since they posses
    10 KB (1,507 words) - 02:21, 8 May 2008
  • Boolean algebra
    ...is a form of logical calculus with two binary operations ''AND'' {{nowrap|(multiplication, •)}} and ''OR'' {{nowrap|(addition, +)}} and one unary operation ''NOT'' ...lean algebra, namely, two binary operations on a set ''A'', named ''AND'' (multiplication, •) and ''OR'' (addition, +), and one unary operation ''NOT'' (negation,
    13 KB (1,959 words) - 19:49, 1 September 2020
  • Euler angles
    Note that the multiplication by ...<math>\mathbf{r}_3 = \mathbf{a}_3 </math>, the third column [the rightmost multiplication by '''R'''<sub>''z''</sub>(&omega;<sub>1</sub>) does not affect '''r'''<sub
    16 KB (2,502 words) - 12:28, 24 March 2010
  • Logarithm
    ..., as subtraction is the inverse of addition and division is the inverse of multiplication. For example, since <font style="vertical-align:+20%;"><math>343 = 7^3</mat ...tion and subtraction are much easier to perform than are the operations of multiplication and division. Logarithms were characterized by [[Pierre-Simon Laplace]], th
    19 KB (3,039 words) - 12:51, 7 March 2023
  • Pi (mathematical constant)
    ...ic]], using ''n''&nbsp;log(''n'')&nbsp;log(log(''n'')) steps. A 1000-digit multiplication thus requires a few thousand calculations rather than a million.
    15 KB (2,275 words) - 19:45, 1 September 2020
  • Toxoplasma gondii
    ==Structure, Multiplication, and Life Cycle==
    14 KB (2,172 words) - 16:02, 30 October 2013
  • Least common multiple/Student Level
    ...that, let us note in the interest of simplicity that we need not perform a multiplication at each step in extending the list; we need only add:
    6 KB (743 words) - 18:42, 2 July 2009
  • Discrete logarithm
    ...ld definition (such definitions always include some operation analogous to multiplication, so it is always possible to construct an analog of exponentiation) and two
    5 KB (772 words) - 17:15, 6 August 2013
  • English spellings/Catalogs/Common misspellings M
    * {{search link|mutiplication||ns0|ns14|ns100}} ([[multiplication]])
    11 KB (1,380 words) - 09:28, 6 July 2023
  • Mathematical notation
    Most of conventional calculus is based on the operations summation, multiplication, exponentiation and the inverse functions.
    6 KB (916 words) - 15:07, 16 July 2011
  • Algebraic number
    ...&nbsp; and by [[algebra]] we mean a linear space which is closed under the multiplication, and which has <math>\ 1</math>&nbsp; as its element. The following propert
    7 KB (1,145 words) - 00:49, 20 October 2013
  • Elementary function
    ...ctions, the four elementary operations of [[addition]], [[subtraction]], [[multiplication]], and [[division]], and [[composition|function composition]] are also elem
    8 KB (1,289 words) - 13:46, 26 May 2009
  • Real number
    ...rs, which can be [[totally ordered]] in a way compatible with addition and multiplication. The second says that if a nonempty set of real numbers has an [[upper boun ...''R''' is a [[field (mathematics)|field]], meaning that [[addition]] and [[multiplication]] are defined and have the usual properties.
    19 KB (2,948 words) - 10:07, 28 February 2024
  • Zilog Z80
    ...form multiplication and division are not available on the Z80. To perform multiplication or division, repeated addition or subtraction is necessary.
    13 KB (2,216 words) - 07:38, 9 June 2009
  • Proof assistant
    * addition and multiplication for two numbers (already known), and ...peration and the initial value 0; the "listprod" definition stipulates the multiplication operation and the initial value 1. The sum of a list is denoted by ''Isabel
    21 KB (3,291 words) - 16:07, 3 November 2013
  • Power function
    ...al number <math>n</math> can be considered as just iteration of function "multiplication to <math>z</math>" applied to unity <math>z</math> times.
    8 KB (1,339 words) - 13:11, 8 August 2021
  • Natural pentation
    The first 5 [[ackermann]]s (addition of e, multiplication by e, exponent, tetration, pentation) are shown in the top figure at right.
    8 KB (1,169 words) - 01:26, 9 September 2014
  • Reflection (geometry)
    Dyadic products satisfy the matrix multiplication rule
    8 KB (1,366 words) - 09:12, 10 August 2009
  • Neutron generator
    ...are not produced as a burst, as a stream that triggers successive neutron multiplication cycles in the ultimate target. In the design of an ENI, the critical parame
    6 KB (938 words) - 21:00, 5 May 2010
  • Product operator (NMR)
    ...ations, that is used in place of more complex, although equivalent, matrix multiplication. The formalism uses a [[rotating frame of reference]], in which the centra
    8 KB (1,290 words) - 02:21, 16 February 2010
  • Algebraic number field
    The fractional ideals of ''K'' form an abelian group under ideal multiplication with the fractional ideal ''O''<sub>''K''</sub> = ''O''<sub>''K''</sub>.1 a
    7 KB (1,077 words) - 17:18, 10 January 2009
  • Prime number
    ...roduct]] <ref>In mathematics, a product is a quantity (amount) obtained by multiplication of two numbers : "the product of 2 and 5 is 10"; "the product of 4 and 6 is
    18 KB (2,917 words) - 10:27, 30 August 2014
  • Fermentation (biochemistry)
    ...rmentation never occurs without simultaneous organization, development and multiplication of cells.... If asked, in what consists the chemical act whereby the sugar
    8 KB (1,169 words) - 06:27, 9 June 2009
  • Holomorphic function
    ...ction ''f''&nbsp;'(''z''<sub>0</sub>) ''r'', where the last product is the multiplication of complex numbers.
    9 KB (1,434 words) - 15:35, 7 February 2009
  • Hans Bethe
    ...rst year was mostly concerned with the prediction of the critical mass and multiplication rate of a fission bomb....The larger fraction of the effort since Nov. 1943
    8 KB (1,216 words) - 11:47, 12 October 2011
  • Asymmetric key cryptography
    ...c-key algorithms involve operations such as [[modular arithmetic|modular]] multiplication and exponentiation, which are much more computationally expensive than the
    8 KB (1,233 words) - 05:48, 8 April 2024
  • Horizontal gene transfer (History)
    ...ing both as intermediaries for gene trafficking and as reservoirs for gene multiplication and recombination (the process of making new combinations of genetic materi
    8 KB (1,091 words) - 15:32, 3 November 2007
  • Math Rescue
    ...n problems, or be given a mix of the two. In the second and third episodes multiplication and division problems were also available.
    8 KB (1,436 words) - 05:11, 20 July 2010
  • Acute lymphoblastic leukaemia
    ...[[white blood cell]]s, characterised by the overproduction and continuous multiplication of [[malignant]] and immature white blood cells (referred to as [[lymphobla
    8 KB (1,162 words) - 22:18, 24 September 2009
  • History of railways (Europe)
    ...more profitable. The creation of complex business organizations led to the multiplication of new managerial and engineering skills that spread from railways to other
    8 KB (1,211 words) - 16:06, 8 September 2020
  • Spherical polar coordinates
    By direct matrix multiplication the matrix expression for the spherical polar coordinates of <math>\script which becomes upon multiplication by d''t''<sup>2</sup> the expression for d''s''<sup>2</sup> given above.
    27 KB (4,267 words) - 10:14, 8 April 2023
  • Benjamin Peirce
    ...l complex associative algebras of dimension less than seven, and presented multiplication tables for over 150 new algebras. This work originated in Peirce's interes
    8 KB (1,209 words) - 08:09, 28 September 2013
  • Slater determinant
    where we used the well-known multiplication rule for determinants of product matrices.
    11 KB (1,582 words) - 07:52, 23 September 2009
  • Dirac delta function
    The last property is the analogy of the multiplication of two [[identity matrix|identity matrices]],
    14 KB (2,220 words) - 12:28, 26 October 2021
  • Fermentation (food)
    ...rmentation never occurs without simultaneous organization, development and multiplication of cells.... If asked, in what consists the chemical act whereby the sugar
    10 KB (1,303 words) - 18:41, 3 March 2024
  • Treponema pallidum
    ...glucose, galactose and glycerol. In tissue culture systems the growth and multiplication of ''T. pallidium'' is only due to glucose, mannose and maltose. This has b
    11 KB (1,712 words) - 22:05, 7 February 2010
  • Parallel computation
    ...scalar. The vector is cut up and a chunk is distributed to each CPU, the multiplication is done on each chunk, and the result is reassembled.
    10 KB (1,485 words) - 22:50, 17 January 2021
  • Prime number/Citable Version
    ...11, 13, and 17. A prime number <math>p</math> cannot be factored as the [[multiplication|product]] of two numbers <math>\scriptstyle p=a\times b,</math> except for
    14 KB (2,281 words) - 12:20, 13 September 2013
  • Computer architecture
    ...tly support multiplication and division operations (instead, users support multiplication and division through programs that perform multiple additions, subtractions
    25 KB (3,906 words) - 12:07, 22 February 2009
  • Ampere's equation
    instead of the simpler expression in Eq. (1). Here the multiplication signs (&times;) indicate [[vector product]]s. The integrand [expression und
    14 KB (2,145 words) - 11:48, 21 April 2011
  • Angular momentum (quantum)
    The commutation relations of these operators follow by matrix multiplication, for instance,
    16 KB (2,632 words) - 04:33, 23 September 2021
  • Naegleria fowleri
    ...esent in the cerebrospinal fluid of the brain support the growth and rapid multiplication of the amoebas. N. fowleri feeds on red blood cells and white blood cells
    13 KB (1,863 words) - 06:12, 15 October 2013
  • Lie algebroid
    ...x'',''y''),(''y'',''z'')) for arbitrary ''x'', ''y'', and ''z'' in ''M''. Multiplication is therefore omitting the common point, i.e. (''x'',''y'')o(''y'',''z'') =
    16 KB (2,719 words) - 04:11, 7 October 2013
  • Ideal gas law
    ...plication of the Bose-Einstein statistics and the proof that it leads to a multiplication by 1/''N''! for higher temperatures</ref> into the expression for ''Q''. I
    14 KB (2,204 words) - 15:26, 20 November 2022
  • Probability space
    ...o not need this notion. For them, formulas (such as the addition rule, the multiplication rule, the inclusion-exclusion rule, the law of total probability, Bayes' ru
    18 KB (2,797 words) - 14:37, 30 January 2011
  • Gamma function
    ...that no poles are encountered</ref> A third functional equation is the ''[[multiplication theorem]]'' ...Springer | date = 2006 | isbn = 0387982213}}</ref> Gauss also proved the [[multiplication theorem]] of the gamma function and investigated the connection between the
    32 KB (5,024 words) - 12:05, 22 December 2008
  • Sine
    (In matrix notation the last two expression are equivalent to the multiplication of a row vector with a square matrix). Putting Eqs. (1) and (2) for '''e'''
    19 KB (3,106 words) - 09:53, 10 October 2013
  • Number theory/Signed Articles/Elementary diophantine approximations
    ...}(\mathbb{Z}_+, 2)</math>&nbsp; is a [[monoid]] with respect to the matrix multiplication.
    35 KB (5,836 words) - 08:40, 15 March 2021
  • Tetration
    [[multiplication]] (or [[product]]) could be called [[duation]] , ...Holomorphism|holomorphic]] extensions and the inverses of [[summation]], [[multiplication]], [[exponentiation]] form the core of the [[mathematical analysis]].
    65 KB (10,203 words) - 04:16, 8 September 2014
  • Block cipher
    ...t at higher costs. [[International Data Encryption Algorithm | IDEA]] uses multiplication modulo 2<sup>16</sup>+1 and [[#AES | AES]] does matrix multiplications with ...mple, the [[International Data Encryption Algorithm | IDEA]] cipher uses a multiplication operation with two 16-bit inputs and one 16-bit output; it can be modeled a
    53 KB (8,371 words) - 05:48, 8 April 2024
  • Eckart conditions
    By using the rules for block matrix multiplication we can show that
    20 KB (3,213 words) - 02:14, 23 February 2010
  • ThorCon nuclear reactor
    The neutron multiplication ratio in a fission reactor must be exactly 1.000 for steady-state operation
    16 KB (2,447 words) - 17:25, 22 April 2024
  • Angular momentum (classical)
    The fact that the matrix-vector multiplication may be written as a cross product follows most easily by direct verificatio
    23 KB (3,890 words) - 10:45, 11 June 2009
  • Wasan
    ...as published in 1593 and dealt mostly with methods of computations such as multiplication, division, and the extraction of [[square root|square]] and [[cube root|cub
    15 KB (2,247 words) - 10:12, 28 February 2024
  • Born-Oppenheimer approximation
    is diagonal. After multiplication by the real function &chi;<sub>''k''</sub>('''r''';'''R''') from the left a
    20 KB (3,194 words) - 03:34, 8 November 2013
  • Ebola
    ...sue fluids, eventually penetrating into a tissue wall, where it begins its multiplication. The [[incubation]] period for Ebola is about five to seven days in patient
    16 KB (2,467 words) - 09:03, 9 August 2023
  • Transposon
    ...alled '''transposition'''. It can result in DNA duplication and in further multiplication of the original DNA sequence. The transposition process can cause [[mutatio
    18 KB (2,605 words) - 07:29, 9 June 2009
  • Tuberculosis
    ...back of the nose, and is also swallowed, and, unless treatment to stop the multiplication of the bacteria is instituted, lodges in the stomach and intestines of pati ...s transferred, free of charge, to trustworthy laboratories outside France. Multiplication of producers and users led to an increased need for standardization, both c
    31 KB (4,567 words) - 15:35, 30 October 2013
  • International System of Units
    * Symbols for derived units formed from multiple units by multiplication are joined with a space or centre dot (·), e.g. "N m" or "N·m".
    23 KB (3,590 words) - 20:32, 4 February 2024
  • Programming language
    s * n // The str type has no facility for 'multiplication' => error (a duck does not know how to 'moo'!)
    25 KB (3,897 words) - 01:49, 8 October 2013
  • Operational amplifier
    ...roduction. The evaluation of distortion is introduced using the Distortion Multiplication Factor (Kd).<ref name=Bonello/>
    27 KB (4,146 words) - 19:58, 1 October 2013
  • Number theory
    ...integers, but rather subsets of non-commutative [[groups]], for which the multiplication symbol, not the addition symbol, is traditionally used; they can also be su
    27 KB (4,383 words) - 08:05, 11 October 2011
  • Spherical harmonics
    ...ordingly that the map from matrices to operators is antihomomorphic (i.e., multiplication of operators and matrices is in mutually reversed order).
    34 KB (5,282 words) - 14:21, 1 January 2011
  • Molecular Hamiltonian
    ...tor requires the inverse of the metric tensor '''g''' and its determinant. Multiplication of the Laplace-Beltrami operator by <math>-\hbar^2</math> gives the require
    31 KB (4,757 words) - 02:20, 27 October 2013
  • Mathematics
    ..., [[season]]s, [[year]]s. [[Arithmetic]] ([[addition]], [[subtraction]], [[multiplication]] and [[division (mathematics)|division]]), naturally followed. Monolithic
    30 KB (4,289 words) - 16:03, 20 January 2023
  • Cryptanalysis/Citable Version
    ...nd on the distance shifted, and on some computers the time required for a multiplication operation depends on the number of ones in the binary representation of one
    32 KB (4,913 words) - 14:38, 18 March 2024
  • Cryptanalysis
    ...nd on the distance shifted, and on some computers the time required for a multiplication operation depends on the number of ones in the binary representation of one
    32 KB (4,916 words) - 05:49, 8 April 2024
  • Search engine optimization
    ...ial programs, but linking thousands of artificially created web sites. The multiplication of links was designed to fool search engines into thinking that each indivi
    37 KB (5,577 words) - 18:32, 10 October 2013
  • Normal distribution
    ...s only two random numbers, one random integer and one random uniform, one multiplication and an if-test. Only in 3% of the cases where the combination of those two
    46 KB (6,956 words) - 07:01, 9 June 2009
  • Alfred Russel Wallace
    ...ize: 1.0em; font-family: Trebuchet MS;">It was something like learning the multiplication table both in the painfulness of the process and the permanence of the resu
    35 KB (5,446 words) - 09:09, 11 May 2024
  • Energy (science)
    ...per bound to the efficiency of the process, we assume this to be the case. Multiplication of Eq. (2) by <math>T_2/Q_1</math> gives
    43 KB (7,032 words) - 15:15, 15 August 2022
  • Foreign internal defense
    }}</ref> where it can be a force multiplication|force multiplier for regional commanders concerned with counterinsurgency.
    40 KB (5,908 words) - 04:32, 21 March 2024
  • Democratic-Republican Party
    ...of the public revenue to the discharge of the national debt; and not for a multiplication of officers and salaries merely to make partisans, and for increasing, by e
    44 KB (6,547 words) - 13:29, 20 March 2023
  • Great Depression/Tutorials
    ...isation of industry, the growth of the strength of trade unions [and] the multiplication of state controls"; but particularly to the failure of wage rates to adjust
    52 KB (8,210 words) - 10:49, 23 February 2024
  • Mathematical biology/Signed Articles/Biology's next microscope: Mathematics
    *Euler L (1760) Recherches générales sur la mortalité et la multiplication. Mémoires de l’Académie Royal des Sciences et Belles Lettres 16: 144�
    46 KB (6,635 words) - 13:25, 14 April 2021
  • Ramakrishna
    ...had an aversion to arithmetic, and didn't progress beyond simple addition, multiplication and division. He read the Ramayana, the Mahabharata and other religious boo
    53 KB (8,712 words) - 10:07, 30 September 2023
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