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Find link is a tool written by Edward Betts.Longer titles found: Multiplication (alchemy) (view), Multiplication (disambiguation) (view), Multiplication (music) (view), Multiplication (song) (view), Multiplication algorithm (view), Multiplication and repeated addition (view), Multiplication factor (view), Multiplication operator (view), Multiplication sign (view), Multiplication table (view), Multiplication theorem (view), Matrix multiplication (view), Scalar multiplication (view), Ancient Egyptian multiplication (view), Matrix multiplication algorithm (view), Montgomery modular multiplication (view), Toom–Cook multiplication (view), Cross-multiplication (view), Computational complexity of matrix multiplication (view), Booth's multiplication algorithm (view), Force multiplication (view), Complex multiplication (view), Lattice multiplication (view), The Multiplication Table (view), Matrix chain multiplication (view), Grid method multiplication (view), Church of the Multiplication (view), Vector multiplication (view), Kochanski multiplication (view), Countercurrent multiplication (view), Elliptic curve point multiplication (view), Complex multiplication of abelian varieties (view), Chinese multiplication table (view), Digital circuit multiplication equipment (view), Min-plus matrix multiplication (view)
searching for Multiplication 247 found (6046 total)
alternate case: multiplication
Nuclear chain reaction
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Paris [non-primary source needed]searched for, and discovered, neutron multiplication in uranium, proving that a nuclear chain reaction by this mechanismComplex number (11,795 words) [view diff] exact match in snippet view article find links to article
-1+3i} and − 1 − 3 i {\displaystyle -1-3i} . Addition, subtraction and multiplication of complex numbers can be naturally defined by using the rule i 2 =Cardinal number (3,833 words) [view diff] exact match in snippet view article find links to article
identity: κ·1 = 1·κ = κ. Multiplication is associative: (κ·μ)·ν = κ·(μ·ν). Multiplication is commutative: κ·μ = μ·κ. Multiplication is non-decreasing in bothModule (mathematics) (3,091 words) [view diff] exact match in snippet view article
multiplication is distributive over the operations of addition between elements of the ring or module and is compatible with the ring multiplication.Vegetative reproduction (2,752 words) [view diff] exact match in snippet view article find links to article
Vegetative reproduction (also known as vegetative propagation, vegetative multiplication or cloning) is a form of asexual reproduction occurring in plants inTorque converter (3,837 words) [view diff] exact match in snippet view article find links to article
converter can produce maximum torque multiplication if sufficient input power is applied (the resulting multiplication is called the stall ratio). The stallSelf-verifying theories (419 words) [view diff] exact match in snippet view article find links to article
to prove that multiplication is a total function (and in the earlier versions of the result, addition also). Addition and multiplication are not functionTarski's axiomatization of the reals (603 words) [view diff] exact match in snippet view article find links to article
Dedekind-complete ordered field; it is however made much more concise by avoiding multiplication altogether and using unorthodox variants of standard algebraic axiomsElementary matrix (1,236 words) [view diff] exact match in snippet view article find links to article
Left multiplication (pre-multiplication) by an elementary matrix represents elementary row operations, while right multiplication (post-multiplication) representsInterior product (1,583 words) [view diff] exact match in snippet view article find links to article
interior product (also known as interior derivative, interior multiplication, inner multiplication, inner derivative, insertion operator, contraction, or innerBanach algebra (2,618 words) [view diff] exact match in snippet view article find links to article
has an identity element for the multiplication whose norm is 1 , {\displaystyle 1,} and commutative if its multiplication is commutative. Any Banach algebraGeneralized function (2,203 words) [view diff] exact match in snippet view article find links to article
the multiplication is determined with some regularization of generalized function. In the second case, the algebra is constructed as multiplication ofUnit (ring theory) (1,526 words) [view diff] exact match in snippet view article
unit or invertible element of a ring is an invertible element for the multiplication of the ring. That is, an element u of a ring R is a unit if there existsCrop yield (915 words) [view diff] exact match in snippet view article find links to article
farming operation by not including the totality of the inputs. The seed multiplication ratio is the ratio between the investment in seed versus the yield.CLMUL instruction set (492 words) [view diff] exact match in snippet view article find links to article
Carry-less Multiplication (CLMUL) is an extension to the x86 instruction set used by microprocessors from Intel and AMD which was proposed by Intel inNimber (1,647 words) [view diff] exact match in snippet view article find links to article
with nimber addition and nimber multiplication, which are distinct from ordinal addition and ordinal multiplication. Because of the Sprague–Grundy theoremG.723 (213 words) [view diff] exact match in snippet view article find links to article
Pulse Code Modulation (ADPCM) to 24 and 40 kbit/s for digital circuit multiplication equipment (DCME) applications. The standard G.723 is obsolete and hasCommon logarithm (1,887 words) [view diff] exact match in snippet view article find links to article
calculators were not available, and mechanical calculators capable of multiplication were bulky, expensive and not widely available. Instead, tables of base-10Budding (436 words) [view diff] no match in snippet view article find links to article
Budding or blastogenesis is a type of asexual reproduction in which a new organism develops from an outgrowth or bud due to cell division at one particularAvalanche breakdown (499 words) [view diff] exact match in snippet view article find links to article
insulating and semiconducting materials. It is a form of electric current multiplication that can allow very large currents within materials which are otherwiseHeterostructure barrier varactor (527 words) [view diff] exact match in snippet view article find links to article
lower frequency input. This type of frequency multiplication is demonstrated as triplers (3× multiplication) at 100 GHz through 282 GHz and up to 450 GHzComposition of relations (2,858 words) [view diff] exact match in snippet view article find links to article
calculus of relations, the composition of relations is called relative multiplication, and its result is called a relative product.: 40 Function compositionOperator algebra (545 words) [view diff] exact match in snippet view article find links to article
continuous linear operators on a topological vector space, with the multiplication given by the composition of mappings. The results obtained in the studyTensor product (8,659 words) [view diff] exact match in snippet view article find links to article
(in analogy to the way that multiplication distributes over addition). Vector spaces endowed with an additional multiplicative structure are called algebrasPleione (mythology) (365 words) [view diff] exact match in snippet view article
Greek mythology and mother of the Pleiades. Pleione presided over the multiplication of the flocks, fitting, since the meaning of her name is: "to increaseNon-associative algebra (3,005 words) [view diff] exact match in snippet view article find links to article
(or distributive algebra) is an algebra over a field where the binary multiplication operation is not assumed to be associative. That is, an algebraic structureCoalgebra (2,899 words) [view diff] exact match in snippet view article find links to article
internal tensor product of a vector and a scalar is just simple scalar multiplication. The external product keeps them separated. In this setting, the coproductCyclic group (4,113 words) [view diff] no match in snippet view article find links to article
its inverse. Each element can be written as an integer power of g in multiplicative notation, or as an integer multiple of g in additive notation. ThisCauchy product (3,601 words) [view diff] exact match in snippet view article find links to article
with the multiplication given by convolution. If one takes, for example, S = N d {\displaystyle S=\mathbb {N} ^{d}} , then the multiplication on C [ STransmission (mechanical device) (1,495 words) [view diff] exact match in snippet view article
working together—to change the speed, direction of rotation, or torque multiplication/reduction in a machine. Transmissions can have a single fixed-gear ratioLoop group (588 words) [view diff] exact match in snippet view article find links to article
confused with a loop) is a group of loops in a topological group G with multiplication defined pointwise. In its most general form a loop group is a groupUnitary operator (1,332 words) [view diff] exact match in snippet view article find links to article
this multiplication is referred to as multiplication by a phase. Notice that the value of θ modulo 2π does not affect the result of the multiplication, andGF(2) (1,062 words) [view diff] exact match in snippet view article
subtraction is thus the same operation as addition. The multiplication of GF(2) is again the usual multiplication modulo 2 (see the table below), and on BooleanFixed-point arithmetic (5,904 words) [view diff] exact match in snippet view article find links to article
reduce the number of times that rounding occurs, and the fixed-point multiplications utilize rounding addends. To add or subtract two values with the sameSurreal number (11,658 words) [view diff] exact match in snippet view article find links to article
including the usual arithmetic operations (addition, subtraction, multiplication, and division); as such, they form an ordered field. If formulated inComputer performance by orders of magnitude (1,497 words) [view diff] exact match in snippet view article find links to article
| >24 2×10−3: average human multiplication of two 10-digit numbers using pen and paper without aids 1×10−1: multiplication of two 10-digit numbers by aNegative number (4,634 words) [view diff] exact match in snippet view article find links to article
a product of two negative numbers is positive is also necessary for multiplication to follow the distributive law. In this case, we know that (−2) × (−3)Management of hair loss (7,283 words) [view diff] exact match in snippet view article find links to article
stem cells may lead to successes in treating baldness through hair multiplication (HM), also known as hair cloning. Per a May 2015 review, no successfulSuperalgebra (1,687 words) [view diff] exact match in snippet view article find links to article
ring or field with a decomposition into "even" and "odd" pieces and a multiplication operator that respects the grading. The prefix super- comes from theCIPHERUNICORN-A (307 words) [view diff] exact match in snippet view article find links to article
generation function). This second, 6-round Feistel network uses modular multiplication, as well as two of the S-boxes. In contrast to CIPHERUNICORN-E, subkeysParity (mathematics) (2,532 words) [view diff] exact match in snippet view article
with ordinary arithmetic, multiplication and addition are commutative and associative in modulo 2 arithmetic, and multiplication is distributive over additionCommutative ring (5,688 words) [view diff] exact match in snippet view article find links to article
In mathematics, a commutative ring is a ring in which the multiplication operation is commutative. The study of commutative rings is called commutativeFinite field (7,535 words) [view diff] exact match in snippet view article find links to article
with any field, a finite field is a set on which the operations of multiplication, addition, subtraction and division are defined and satisfy certainHydraulic machinery (4,797 words) [view diff] exact match in snippet view article find links to article
wide array of actuators that can make use of this power, and the huge multiplication of forces that can be achieved by applying pressures over relativelyKilobyte (1,369 words) [view diff] exact match in snippet view article find links to article
The International System of Units (SI) defines the prefix kilo as a multiplication factor of 1000 (103); therefore, one kilobyte is 1000 bytes. The internationallySSE4 (1,591 words) [view diff] exact match in snippet view article find links to article
operations, such as vector element-wise addition/multiplication and vector scalar addition/multiplication, process multiple bytes of data in a single CPUThermodynamic efficiency limit (648 words) [view diff] exact match in snippet view article find links to article
cannot go beyond 31% as explained by Shockley and Queisser. Carrier multiplication facilitates multiple electron-hole pair generation for each photon absorbedPrinciples of Hindu Reckoning (1,042 words) [view diff] exact match in snippet view article find links to article
only the result in one row. Kushyar ibn Labban multiplication is a variation of Sunzi multiplication. Professor Lam Lay Yong discovered that the HinduTrue arithmetic (1,133 words) [view diff] exact match in snippet view article find links to article
theory of natural numbers with multiplication. The signature of Peano arithmetic includes the addition, multiplication, and successor function symbolsUTF-1 (434 words) [view diff] exact match in snippet view article find links to article
UTF-1 is also slow to encode or decode due to its use of division and multiplication by a number which is not a power of 2. Due to these issues, it did notDirichlet convolution (2,587 words) [view diff] exact match in snippet view article find links to article
Dirichlet series such as the Riemann zeta function. It describes the multiplication of two Dirichlet series in terms of their coefficients: ( ∑ n ≥ 1 fSemifield (770 words) [view diff] exact match in snippet view article find links to article
is an algebraic structure with two binary operations, addition and multiplication, which is similar to a field, but with some axioms relaxed. The termClifford algebra (9,191 words) [view diff] no match in snippet view article find links to article
and the 1 on the right is the algebra's multiplicative identity (not to be confused with the multiplicative identity of K). The idea of being the "freest"Avalanche photodiode (1,583 words) [view diff] exact match in snippet view article find links to article
material can be used as a multiplication region: Silicon will detect in the visible and near infrared, with low multiplication noise (excess noise). GermaniumMicropropagation (2,157 words) [view diff] exact match in snippet view article find links to article
micropropagation can be divided into four stages: Selection of mother plant Multiplication Rooting and acclimatizing Transfer new plant to soil MicropropagationHopf algebra (4,397 words) [view diff] exact match in snippet view article find links to article
constants for multiplication: e i ∇ e j = ∑ k μ i j k e k {\displaystyle e_{i}\nabla e_{j}=\sum _{k}\mu _{\;ij}^{k}e_{k}} for co-multiplication: Δ e i = ∑Circuit (computer science) (857 words) [view diff] exact match in snippet view article
and set complement, as well as the arithmetic operations addition and multiplication. A circuit is a triplet ( M , L , G ) {\displaystyle (M,L,G)} , wherePreferential trading area (704 words) [view diff] exact match in snippet view article find links to article
the same tariff to imports from other WTO members. With the recent multiplication of bilateral PTAs and the emergence of Mega-PTAs (wide regional tradeQuasi-invariant measure (318 words) [view diff] exact match in snippet view article find links to article
Euclidean space. Then the effect of T on μ is locally expressible as multiplication by the Jacobian determinant of the derivative (pushforward) of T. ToMoney multiplier (4,333 words) [view diff] exact match in snippet view article find links to article
Process of money multiplication n Deposits Loans Publicly held money n = 0 {\displaystyle n=0\;} D 0 = 1 {\displaystyle D_{0}=1\;} - - n = 1 {\displaystyleProportional counter (1,487 words) [view diff] exact match in snippet view article find links to article
itself is of a very small diameter. The purpose of this is to use the multiplication effect of the avalanche produced by each ion pair. This is the "avalanche"EDVAC (1,458 words) [view diff] exact match in snippet view article find links to article
was a binary serial computer with automatic addition, subtraction, multiplication, programmed division and automatic checking with an ultrasonic serialFunction space (1,225 words) [view diff] exact match in snippet view article find links to article
natural vector space structure given by pointwise addition and scalar multiplication. In other scenarios, the function space might inherit a topologicalTransposable integer (2,886 words) [view diff] exact match in snippet view article find links to article
remainders at each step, we can thus perform a desired cyclic permutation by multiplication. E.g., The integer 142857, corresponding to remainder 1, permutes toEn-ring (266 words) [view diff] exact match in snippet view article find links to article
{\displaystyle A(U)} for any open subset U of Rn homeomorphic to an n-disk. A multiplication map: μ : A ( U 1 ) ⊗ ⋯ ⊗ A ( U m ) → A ( V ) {\displaystyle \mu :A(U_{1})\otimesDuodecimal (4,381 words) [view diff] exact match in snippet view article find links to article
duodecimal. There is also higher regularity observable in the duodecimal multiplication table. As a result, duodecimal has been described as the optimal numberFunction space (1,225 words) [view diff] exact match in snippet view article find links to article
natural vector space structure given by pointwise addition and scalar multiplication. In other scenarios, the function space might inherit a topologicalGroup homomorphism (1,538 words) [view diff] exact match in snippet view article find links to article
(Z, +) contains only two elements, the identity transformation and multiplication with −1; it is isomorphic to (Z/2Z, +). We define the kernel of h toRule of product (550 words) [view diff] exact match in snippet view article find links to article
In combinatorics, the rule of product or multiplication principle is a basic counting principle (a.k.a. the fundamental principle of counting). StatedAntihomomorphism (650 words) [view diff] exact match in snippet view article find links to article
antihomomorphism is a type of function defined on sets with multiplication that reverses the order of multiplication. An antiautomorphism is an invertible antihomomorphismOrder (group theory) (1,337 words) [view diff] exact match in snippet view article
subgroup generated by the element. If the group operation is denoted as a multiplication, the order of an element a of a group, is thus the smallest positivePublic goods game (3,913 words) [view diff] exact match in snippet view article find links to article
can be chipped in). The average contribution typically depends on the multiplication factor. Capraro has proposed a new solution concept for social dilemmasVaricap (1,560 words) [view diff] exact match in snippet view article find links to article
package for the local oscillator. In some applications, such as harmonic multiplication, a large signal amplitude alternating voltage is applied across a varicapE2 (cipher) (160 words) [view diff] exact match in snippet view article
input transformation and output transformation that both use modular multiplication, but the round function itself consists only of XORs and S-box lookupsPhysical quantity (1,616 words) [view diff] exact match in snippet view article find links to article
physical quantity can be expressed as a value, which is the algebraic multiplication of a numerical value and a unit of measurement. For example, the physicalAṣ-Ṣaidanānī (116 words) [view diff] exact match in snippet view article find links to article
titles by him: Kitāb fī Ṣunūf aḍ-ḍarb wa-l-qisma ("Book on the Art of Multiplication and Division") Šarḥ kitāb Muḥammad ibn Mūsā al-Ḫwārizmī fi l-ğabr ("CommentaryPushforward (differential) (2,483 words) [view diff] exact match in snippet view article
G} , we can use the multiplication map m ( − , − ) : G × G → G {\displaystyle m(-,-):G\times G\to G} to get left multiplication L g = m ( g , − ) {\displaystyleSignificant figures (5,302 words) [view diff] exact match in snippet view article find links to article
significant figures for multiplication and division are not the same as the rule for addition and subtraction. For multiplication and division, only theEquality (mathematics) (7,684 words) [view diff] no match in snippet view article
In mathematics, equality is a relationship between two quantities or expressions, stating that they have the same value, or represent the same mathematicalAccumulator (computing) (1,683 words) [view diff] exact match in snippet view article
would be necessary to write the result of each calculation (addition, multiplication, shift, etc.) to cache or main memory, perhaps only to be read rightLogarithmic scale (1,203 words) [view diff] exact match in snippet view article find links to article
multiple of some base value raised to a power, and corresponds to the multiplication of the previous value in the scale by the base value. In common useTropical semiring (728 words) [view diff] exact match in snippet view article find links to article
addition replacing the usual ("classical") operations of addition and multiplication, respectively. The tropical semiring has various applications (see tropicalBrahmagupta–Fibonacci identity (1,130 words) [view diff] exact match in snippet view article find links to article
different ways. Hence the set of all sums of two squares is closed under multiplication. Specifically, the identity says ( a 2 + b 2 ) ( c 2 + d 2 ) = ( a cComplexification (2,069 words) [view diff] exact match in snippet view article find links to article
extending the scaling of vectors by real numbers to include their scaling ("multiplication") by complex numbers. Any basis for V (a space over the real numbers)Pseudo-spectral method (2,505 words) [view diff] exact match in snippet view article find links to article
involves derivatives (such as a kinetic energy contribution), and a multiplication with a function (for example, a potential). In the spectral method,Lie algebra (10,477 words) [view diff] exact match in snippet view article find links to article
other words, a Lie algebra is an algebra over a field for which the multiplication operation (called the Lie bracket) is alternating and satisfies theGroup ring (3,985 words) [view diff] exact match in snippet view article find links to article
group. As a ring, its addition law is that of the free module and its multiplication extends "by linearity" the given group law on the basis. Less formallyStandard algorithms (967 words) [view diff] exact match in snippet view article find links to article
but generally include exchanging, regrouping, long division, and long multiplication using a standard notation, and standard formulas for average, area,Quaternion group (3,716 words) [view diff] exact match in snippet view article find links to article
} {\displaystyle \{1,i,j,k,-1,-i,-j,-k\}} of the quaternions under multiplication. It is given by the group presentation Q 8 = ⟨ e ¯ , i , j , k ∣ e ¯Kilo- (527 words) [view diff] exact match in snippet view article find links to article
dictionary. Kilo is a decimal unit prefix in the metric system denoting multiplication by one thousand (103). It is used in the International System of UnitsLaurent series (2,675 words) [view diff] exact match in snippet view article find links to article
convergence. Also, for a field F {\displaystyle F} , by the sum and multiplication defined above, formal Laurent series would form a field F ( ( x ) )Rng (algebra) (2,258 words) [view diff] no match in snippet view article
same properties as a ring, but without assuming the existence of a multiplicative identity. The term rng, pronounced like rung (IPA: /rʌŋ/), is meantCohomology ring (733 words) [view diff] exact match in snippet view article find links to article
cohomology groups of X together with the cup product serving as the ring multiplication. Here 'cohomology' is usually understood as singular cohomology, butStochastic matrix (2,959 words) [view diff] exact match in snippet view article find links to article
Right stochastic matrices act upon row vectors of probabilities by multiplication from the right (hence their name) and the matrix entry in the i-th rowBit-serial architecture (241 words) [view diff] exact match in snippet view article find links to article
1960s through 1980s, including efficient structures for bit-serial multiplication and accumulation. The HP Nut processor used in many Hewlett-PackardFusion tree (2,434 words) [view diff] exact match in snippet view article find links to article
allows addition and bitwise Boolean operations but does not allow the multiplication operations used in the original fusion tree algorithm. A dynamic versionStrength reduction (3,037 words) [view diff] exact match in snippet view article find links to article
operations. The classic example of strength reduction converts strong multiplications inside a loop into weaker additions – something that frequently occursCentering matrix (959 words) [view diff] exact match in snippet view article find links to article
is n ( n − 1 ) / n = n − 1 {\displaystyle n(n-1)/n=n-1} . Although multiplication by the centering matrix is not a computationally efficient way of removingChisanbop (533 words) [view diff] exact match in snippet view article find links to article
rather than the usual 0 to 10, and to perform the addition, subtraction, multiplication and division of numbers. The system has been described as being easierCache-oblivious algorithm (1,843 words) [view diff] exact match in snippet view article find links to article
given cache. Optimal cache-oblivious algorithms are known for matrix multiplication, matrix transposition, sorting, and several other problems. Some moreFauji Foundation (2,588 words) [view diff] exact match in snippet view article find links to article
Company based in Saudi Arabia. The Fauji Foundation Experimental and Seed Multiplication Farm was established in 1959 to conducts experiments, research, testingOrder of magnitude (1,596 words) [view diff] exact match in snippet view article find links to article
20, and two orders of magnitude between 2 and 200. Each division or multiplication by 10 is called an order of magnitude. This phrasing helps quickly expressVersor (2,933 words) [view diff] exact match in snippet view article find links to article
is termed a right versor. The collection of versors with quaternion multiplication forms a group, and the set of versors is a 3-sphere in the 4-dimensionalSubring (895 words) [view diff] exact match in snippet view article find links to article
binary operations of addition and multiplication on R are restricted to the subset, and that shares the same multiplicative identity as R. A subring of aNoncommutative geometry (2,408 words) [view diff] exact match in snippet view article find links to article
sense. A noncommutative algebra is an associative algebra in which the multiplication is not commutative, that is, for which x y {\displaystyle xy} does notSpin group (3,986 words) [view diff] exact match in snippet view article find links to article
\operatorname {SO} (n)\to 1.} The group multiplication law on the double cover is given by lifting the multiplication on SO ( n ) {\displaystyle \operatornameTopological algebra (490 words) [view diff] exact match in snippet view article find links to article
{\displaystyle K} is a topological vector space together with a bilinear multiplication ⋅ : A × A → A {\displaystyle \cdot :A\times A\to A} , ( a , b ) ↦ aTable of Lie groups (363 words) [view diff] exact match in snippet view article find links to article
is defined as a complex analytic manifold that is also a group whose multiplication and inversion are each given by a holomorphic map. The dimensions inHypercomplex number (3,215 words) [view diff] exact match in snippet view article find links to article
quaternion multiplication is not commutative, octonion multiplication is non-associative, and the norm of sedenions is not multiplicative. After the sedenionsMathematical game (394 words) [view diff] exact match in snippet view article find links to article
children in grasping fundamental concepts such as addition, subtraction, multiplication, and division, enhancing their arithmetic skills in an engaging mannerOrder of magnitude (1,596 words) [view diff] exact match in snippet view article find links to article
20, and two orders of magnitude between 2 and 200. Each division or multiplication by 10 is called an order of magnitude. This phrasing helps quickly expressFiltered algebra (812 words) [view diff] exact match in snippet view article find links to article
A=\bigcup _{i\in \mathbb {N} }F_{i}} and that is compatible with the multiplication in the following sense: ∀ m , n ∈ N , F m ⋅ F n ⊆ F n + m . {\displaystyleKernel (algebra) (3,758 words) [view diff] no match in snippet view article
the inverse image of 0 (except for groups whose operation is denoted multiplicatively, where the kernel is the inverse image of 1). An important specialOperand (1,163 words) [view diff] exact match in snippet view article find links to article
(3+5)\times 2} In the above expression '(3 + 5)' is the first operand for the multiplication operator and '2' the second. The operand '(3 + 5)' is an expressionFUJIC (274 words) [view diff] exact match in snippet view article find links to article
500 microseconds. An addition or subtraction was clocked at 100 microseconds, multiplication at 1,600 microseconds, and division at 2,100 microseconds. Used extensivelyDual quaternion (4,786 words) [view diff] exact match in snippet view article find links to article
k,} Multiplication of two dual quaternion follows from the multiplication rules for the quaternion units i, j, k and commutative multiplication by theRAYDAC (217 words) [view diff] exact match in snippet view article find links to article
time of up to 305 microseconds. Its addition time was 38 microseconds, multiplication time was 240 microseconds, and division time was 375 microseconds. (TheseIdempotent (ring theory) (2,327 words) [view diff] exact match in snippet view article
such that a2 = a. That is, the element is idempotent under the ring's multiplication. Inductively then, one can also conclude that a = a2 = a3 = a4 = ..Decibel (9,444 words) [view diff] exact match in snippet view article find links to article
suggested the name logit for "standard magnitudes which combine by multiplication", to contrast with the name unit for "standard magnitudes which combineExtended natural numbers (535 words) [view diff] exact match in snippet view article find links to article
element ∞ {\displaystyle \infty } to the natural numbers. Addition and multiplication work as normal for finite values, and are extended by the rules n +Hash table (5,944 words) [view diff] exact match in snippet view article find links to article
integer universe assumption include hashing by division, hashing by multiplication, universal hashing, dynamic perfect hashing, and static perfect hashingGlobal Arrays (461 words) [view diff] exact match in snippet view article find links to article
compatible with MPI. GA includes simple matrix computations (matrix-matrix multiplication, LU solve) and works with ScaLAPACK. Sparse matrices are available butSanity check (1,479 words) [view diff] exact match in snippet view article find links to article
the result is divisible by 9 is a sanity test—it will not catch every multiplication error, but is a quick and simple method to discover many possible errorsQuater-imaginary base (3,101 words) [view diff] exact match in snippet view article find links to article
resulting strings. With every multiplication, a digit in the second string is multiplied with the first string. The multiplication starts with the rightmostFairchild Channel F Videocarts (1,973 words) [view diff] exact match in snippet view article find links to article
exceptionally poor controls and handling.: 13 Videocart-7: Math Quiz (Multiplication & Division) is a trivia/game show video game released in 1977 by FairchildDiscrete Fourier transform (12,333 words) [view diff] exact match in snippet view article find links to article
The fastest known algorithms for the multiplication of very large integers use the polynomial multiplication method outlined above. Integers can beAmenable number (405 words) [view diff] exact match in snippet view article find links to article
obvious from the definition, the set of amenable numbers is closed under multiplication (the product of two amenable numbers is an amenable number). All compositeLogical matrix (1,989 words) [view diff] exact match in snippet view article find links to article
viewed as a semiring, where addition corresponds to logical OR and multiplication to logical AND, the matrix representation of the composition of twoGalois/Counter Mode (3,051 words) [view diff] exact match in snippet view article find links to article
key feature is the ease of parallel computation of the Galois field multiplication used for authentication. This feature permits higher throughput thanCalculator watch (498 words) [view diff] exact match in snippet view article find links to article
watches perform only basic arithmetic operations (addition, subtraction, multiplication, and division). However, there are several models with additional functions:G.726 (1,085 words) [view diff] exact match in snippet view article find links to article
channels is for overload channels carrying voice in digital circuit multiplication equipment (DCME). The principal application of 40 kbit/s channels is2XU (879 words) [view diff] exact match in snippet view article find links to article
Melbourne, Victoria. 2XU stands for "Two Times You," which symbolises the multiplication of human performance. 2XU has been worn by world champion athletes includingBicomplex number (1,806 words) [view diff] exact match in snippet view article find links to article
determinant. Bicomplex numbers feature two distinct imaginary units. Multiplication being associative and commutative, the product of these imaginary unitsCircle group (2,078 words) [view diff] no match in snippet view article find links to article
{\displaystyle \mathbb {T} } or S 1 {\displaystyle \mathbb {S} ^{1}} , is the multiplicative group of all complex numbers with absolute value 1, that is, the unitRepeated sequence (DNA) (3,832 words) [view diff] exact match in snippet view article
on features such as structure, length, location, origin, and mode of multiplication. The disposition of repetitive elements throughout the genome can consistSnowball effect (311 words) [view diff] exact match in snippet view article find links to article
it rolls along. In aerospace engineering, it is used to describe the multiplication effect in an original weight saving. A reduction in the weight of theFace validity (511 words) [view diff] exact match in snippet view article find links to article
students can perform multiplication, and the people to whom it is shown all agree that it looks like a good test of multiplication ability, this demonstratesRC6 (732 words) [view diff] exact match in snippet view article find links to article
two parallel RC5 encryption processes, although RC6 does use an extra multiplication operation not present in RC5 in order to make the rotation dependentOne-way function (1,956 words) [view diff] exact match in snippet view article find links to article
finite abelian group of cardinality n. Denote its group operation by multiplication. Consider a primitive element α ∈ G and another element β ∈ G. The discreteTranscendental function (2,186 words) [view diff] exact match in snippet view article find links to article
be written using only the basic operations of addition, subtraction, multiplication, and division (without the need of taking limits). This is in contrastAlgebraic Eraser (1,622 words) [view diff] exact match in snippet view article find links to article
fundamental operation of the Algebraic Eraser is a one-way function called E-multiplication. Given a matrix, permutation, an Artin generator β {\displaystyle \betaNormal subgroup (3,157 words) [view diff] exact match in snippet view article find links to article
right cosets of N {\displaystyle N} in G {\displaystyle G} coincide. Multiplication in G {\displaystyle G} preserves the equivalence relation "is in theMagic hypercube (4,008 words) [view diff] exact match in snippet view article find links to article
various ways of compounding, the multiplication can be considered as the most basic of these methods. The basic multiplication is given by: nHm1 * nHm2 : n[ki]m1m2Lie product formula (765 words) [view diff] no match in snippet view article find links to article
In mathematics, the Lie product formula, named for Sophus Lie (1875), but also widely called the Trotter product formula, named after Hale Trotter, statesHyperbolic quaternion (2,107 words) [view diff] exact match in snippet view article find links to article
Note that the set of units U = {q : qq* ≠ 0 } is not closed under multiplication. See the references (external link) for details. The hyperbolic quaternionsAlgebraic integer (1,496 words) [view diff] exact match in snippet view article find links to article
all algebraic integers A is closed under addition, subtraction and multiplication and therefore is a commutative subring of the complex numbers. The ringMillioctave (384 words) [view diff] exact match in snippet view article find links to article
intervals can be calculated by adding their millioctave values, instead of multiplication, which is necessary for calculations of frequencies. A millioctave isX + Y sorting (3,224 words) [view diff] exact match in snippet view article find links to article
include transit fare minimisation, VLSI design, and sparse polynomial multiplication. As with comparison sorting and integer sorting more generally, algorithmsRing spectrum (127 words) [view diff] exact match in snippet view article find links to article
stable homotopy theory, a ring spectrum is a spectrum E together with a multiplication map μ: E ∧ E → E and a unit map η: S → E, where S is the sphere spectrumJordan algebra (2,495 words) [view diff] exact match in snippet view article find links to article
algebra, a Jordan algebra is a nonassociative algebra over a field whose multiplication satisfies the following axioms: x y = y x {\displaystyle xy=yx} (commutativePrincipal ideal (1,470 words) [view diff] exact match in snippet view article find links to article
a single element a {\displaystyle a} of R {\displaystyle R} through multiplication by every element of R . {\displaystyle R.} The term also has anotherVector algebra (98 words) [view diff] exact match in snippet view article find links to article
vector algebra may mean: The operations of vector addition and scalar multiplication of a vector space The algebraic operations in vector calculus (vectorWilhelm Schickard (1,979 words) [view diff] exact match in snippet view article find links to article
its integration of an ingenious system of rotated Napier's bones for multiplication with a first known design for an adding machine, operated by rotatingHill cipher (2,241 words) [view diff] exact match in snippet view article find links to article
matrix multiplication will result in large differences after the matrix multiplication. Indeed, some modern ciphers use a matrix multiplication step toDual number (2,780 words) [view diff] exact match in snippet view article find links to article
)=ac+(ad+bc)\varepsilon ,} which follows from the property ε2 = 0 and the fact that multiplication is a bilinear operation. The dual numbers form a commutative algebraPhasor (4,997 words) [view diff] exact match in snippet view article find links to article
\,1)} or the number e i π / 2 = i . {\displaystyle e^{i\pi /2}=i.} Multiplication and division of complex numbers become straight forward through theCOCONUT98 (435 words) [view diff] exact match in snippet view article find links to article
in the finite field GF(264). The round function makes use of modular multiplication and addition, bit rotation, XORs, and a single 8×24-bit S-box. The entriesList of Schoolhouse Rock! episodes (259 words) [view diff] exact match in snippet view article find links to article
Episodes Originally released First released Last released Network 1 Multiplication Rock 11 January 6, 1973 (1973-01-06) March 31, 1973 (1973-03-31) ABCCompanion matrix (2,500 words) [view diff] exact match in snippet view article find links to article
^{2},\ldots ,\lambda ^{n-1}\}} . Then the F {\displaystyle F} -linear multiplication mapping m λ : K → K {\displaystyle m_{\lambda }:K\to K} defined by mDegree of a polynomial (2,789 words) [view diff] no match in snippet view article find links to article
functions that are not polynomials. For example: The degree of the multiplicative inverse, 1 / x {\displaystyle \ 1/x} , is −1. The degree of the squareElectron avalanche (830 words) [view diff] exact match in snippet view article find links to article
degree of multiplication that this process can provide is huge, up to several million-fold depending on the situation. The multiplication factor M isSollicitudo rei socialis (288 words) [view diff] exact match in snippet view article find links to article
development, and insists that true development cannot be limited to the multiplication of goods and services, but must contribute to the fullness of beingSymmetric difference (2,441 words) [view diff] exact match in snippet view article find links to article
symmetric difference as the addition of the ring and intersection as the multiplication of the ring. The symmetric difference is equivalent to the union ofComplex manifold (1,311 words) [view diff] exact match in snippet view article find links to article
tangent bundle whose square is −I; this endomorphism is analogous to multiplication by the imaginary number i, and is denoted J (to avoid confusion withFreerice (607 words) [view diff] exact match in snippet view article find links to article
Programme (WFP). There are over 50 categories, including English Proverbs, Multiplication Table, German, Flags of the World, and World Heritage Sites. The categoriesSplitting field (2,876 words) [view diff] exact match in snippet view article find links to article
given by the rules for polynomial addition, and multiplication is given by polynomial multiplication modulo f(X). That is, for g(α) and h(α) in Ki +1Primitive part and content (1,725 words) [view diff] exact match in snippet view article find links to article
factorization is unique up to the multiplication of the content by a unit of the ring of the coefficients (and the multiplication of the primitive part by theDiscrete valuation ring (1,528 words) [view diff] exact match in snippet view article find links to article
irreducible element (up to multiplication by units). R is a unique factorization domain with a unique irreducible element (up to multiplication by units). R is NoetherianMANIAC II (439 words) [view diff] exact match in snippet view article find links to article
15 microsecond access time). The word size was 48 bits. Its average multiplication time was 180 microseconds and the average division time was 300 microsecondsList of first-order theories (5,269 words) [view diff] exact match in snippet view article find links to article
makes the ring into an abelian group, multiplication is associative and has an identity 1, and multiplication is left and right distributive. CommutativeAnaplasia (392 words) [view diff] exact match in snippet view article find links to article
neoplasms. Sometimes, the term also includes an increased capacity for multiplication. Lack of differentiation is considered a hallmark of aggressive malignanciesDivision ring (1,482 words) [view diff] no match in snippet view article find links to article
Specifically, it is a nontrivial ring in which every nonzero element a has a multiplicative inverse, that is, an element usually denoted a–1, such that a a–1 =Primitive recursive function (7,211 words) [view diff] exact match in snippet view article find links to article
(P_{1}^{1},P_{1}^{1}))(x)=Add(x,x)=x+x} . In a similar way as addition, multiplication can be defined by M u l = ρ ( C 0 1 , A d d ∘ ( P 2 3 , P 3 3 ) ) {\displaystylePreadditive category (1,667 words) [view diff] exact match in snippet view article find links to article
morphism. If you think of composition as analogous to multiplication, then this says that multiplication by zero always results in a product of zero, whichFrequency response (1,283 words) [view diff] exact match in snippet view article find links to article
amplifiers, as the response of the overall system can be found through multiplication of the individual stages' frequency responses (as opposed to convolutionSSE2 (1,236 words) [view diff] exact match in snippet view article find links to article
bits of data and perform instructions, such as vector addition and multiplication, simultaneously. SSE2 introduced double-precision floating point instructions3-sphere (4,048 words) [view diff] exact match in snippet view article find links to article
3-sphere is important in the polar view of 4-space involved in quaternion multiplication. See polar decomposition of a quaternion for details of this developmentImaginary number (1,347 words) [view diff] exact match in snippet view article find links to article
negative number, it was Rafael Bombelli who first set down the rules for multiplication of complex numbers in 1572. The concept had appeared in print earlierSquare metre (309 words) [view diff] exact match in snippet view article find links to article
Multiplication Name Symbol Multiplication Name Symbol 100 square metre (centiare) m2 100 square metre (centiare) m2 102 square decametre (are) dam2 10−2Abhasavada (676 words) [view diff] exact match in snippet view article find links to article
process of the world. It explains the creative power in Nature and multiplication of effect. This theory replaced Arambhavada (theory of Realistic creation)Metaplectic group (1,407 words) [view diff] exact match in snippet view article find links to article
d = j ( g , z ) {\displaystyle \epsilon (z)^{2}=cz+d=j(g,z)} . The multiplication law is defined by: ( g 1 , ϵ 1 ) ⋅ ( g 2 , ϵ 2 ) = ( g 1 g 2 , ϵ )Nuclear reactor physics (4,255 words) [view diff] exact match in snippet view article find links to article
to that of the previous one; this parameter is called the effective multiplication factor k, also denoted by Keff, where k = Є Lf ρ Lth f η, where Є =Classical group (7,794 words) [view diff] exact match in snippet view article find links to article
complex numbers. The quaternions, H, do not constitute a field because multiplication does not commute; they form a division ring or a skew field or non-commutativeSymmetric group (6,212 words) [view diff] exact match in snippet view article find links to article
performing a finite number of operations of addition, subtraction, multiplication, division and root extraction on the polynomial's coefficients. TheOpenCL (10,691 words) [view diff] exact match in snippet view article find links to article
include 2-d and 3-d image types.: 10–11 The following is a matrix–vector multiplication algorithm in OpenCL C. // Multiplies A*x, leaving the result in y. //Brahmagupta (5,840 words) [view diff] exact match in snippet view article find links to article
divisor below the dividend, similar to our notation but without the bar. Multiplication, evolution, and unknown quantities were represented by abbreviationsTopological ring (1,100 words) [view diff] exact match in snippet view article find links to article
that is also a topological space such that both the addition and the multiplication are continuous as maps: R × R → R {\displaystyle R\times R\to R} whereCitrofortunella (389 words) [view diff] exact match in snippet view article find links to article
Citrofortunella. That the genus is of a hybrid nature is represented by a multiplication sign before the genus name, for example × Citrofortunella microcarpaDistribution (mathematics) (21,636 words) [view diff] exact match in snippet view article
thus defined the multiplication of a distribution by a smooth function. We now give an alternative presentation of the multiplication of a distributionLagged Fibonacci generator (974 words) [view diff] exact match in snippet view article find links to article
general binary operation. This may be either addition, subtraction, multiplication, or the bitwise exclusive-or operator (XOR). The theory of this typeStanford MIPS (546 words) [view diff] exact match in snippet view article find links to article
executed in one clock cycle. There were no instructions for integer multiplication or division, or operations for floating-point numbers. The architectureMagnum opus (alchemy) (620 words) [view diff] exact match in snippet view article
of sulphur of white light 5. Fixation 12. Fermentation in elixir 6. Solution 13. Multiplication in virtue 7. Separation 14. Multiplication in quantityMoment of inertia (17,202 words) [view diff] exact match in snippet view article find links to article
i ) ) ] … cross-product scalar multiplication = ω × − ( Δ r i ( ω ⋅ Δ r i ) ) … cross-product scalar multiplication Δ r i × ( ω × ( ω × Δ r i ) ) =Moment of inertia (17,202 words) [view diff] exact match in snippet view article find links to article
i ) ) ] … cross-product scalar multiplication = ω × − ( Δ r i ( ω ⋅ Δ r i ) ) … cross-product scalar multiplication Δ r i × ( ω × ( ω × Δ r i ) ) =Zolotarev's lemma (793 words) [view diff] exact match in snippet view article find links to article
by multiplication by a. For example, take a = 2 and p = 7. The nonzero squares mod 7 are 1, 2, and 4, so (2|7) = 1 and (6|7) = −1. Multiplication by 2Magnum opus (alchemy) (620 words) [view diff] exact match in snippet view article
of sulphur of white light 5. Fixation 12. Fermentation in elixir 6. Solution 13. Multiplication in virtue 7. Separation 14. Multiplication in quantityComplex Hadamard matrix (876 words) [view diff] exact match in snippet view article find links to article
{\displaystyle {\frac {1}{\sqrt {N}}}} becomes a complex Hadamard upon multiplication by N . {\displaystyle {\sqrt {N}}.} Complex Hadamard matrices ariseIntel i960 (2,502 words) [view diff] exact match in snippet view article find links to article
The HD variant had an internal 2× clock multiplication while the HT version has a 3x clock multiplication, allowing increased performance without externalAlternative algebra (1,077 words) [view diff] exact match in snippet view article find links to article
In abstract algebra, an alternative algebra is an algebra in which multiplication need not be associative, only alternative. That is, one must have x (ISO 31-0 (1,452 words) [view diff] exact match in snippet view article find links to article
is less than 1, the decimal sign should be preceded by a zero. The multiplication sign is either a cross or a half-height dot, though the latter shouldDivision algebra (1,153 words) [view diff] no match in snippet view article find links to article
algebra if and only if it has a multiplicative identity element 1 and every non-zero element a has a multiplicative inverse (i.e. an element x with axSupersingular prime (algebraic number theory) (385 words) [view diff] exact match in snippet view article
asymptotic density zero (if E {\displaystyle E} does not have complex multiplication). Lang & Trotter (1976) conjectured that the number of supersingularThyratron (1,488 words) [view diff] exact match in snippet view article find links to article
handle much greater currents than similar hard-vacuum tubes. Electron multiplication occurs when the gas becomes ionized, producing a phenomenon known asHaar measure (5,375 words) [view diff] no match in snippet view article find links to article
S ) . {\displaystyle \mu (Sg)=\mu (S).} There is, up to a positive multiplicative constant, a unique countably additive, nontrivial measure μ {\displaystyleLocation arithmetic (3,105 words) [view diff] exact match in snippet view article find links to article
more of a lark than a labor, for it carries out addition, subtraction, multiplication, division and the extraction of square roots purely by moving countersMonoid ring (585 words) [view diff] exact match in snippet view article find links to article
endowed with R-linear multiplication defined on the base elements by g·h := gh, where the left-hand side is understood as the multiplication in R[G] and theFrobenius matrix (507 words) [view diff] exact match in snippet view article find links to article
above, a linear combination of rows 1 and 2 will be added to row 3). Multiplication with the inverse matrix subtracts the corresponding linear combinationMonad (category theory) (4,489 words) [view diff] exact match in snippet view article
{\displaystyle \operatorname {End} (C)} , which is equipped with the multiplication given by composition of endofunctors. Composition of monads is not,Disk algebra (245 words) [view diff] exact match in snippet view article find links to article
with the pointwise addition (f + g)(z) = f(z) + g(z) and pointwise multiplication (fg)(z) = f(z)g(z), this set becomes an algebra over C, since if f andBoolean algebra (9,572 words) [view diff] exact match in snippet view article find links to article
algebra, on the other hand, uses arithmetic operators such as addition, multiplication, subtraction, and division. Boolean algebra is therefore a formal wayEndomorphism ring (1,208 words) [view diff] exact match in snippet view article find links to article
Addition of endomorphisms arises naturally in a pointwise manner and multiplication via endomorphism composition. Using these operations, the set of endomorphismsBoolean ring (1,419 words) [view diff] exact match in snippet view article find links to article
modulo 2. Every Boolean ring gives rise to a Boolean algebra, with ring multiplication corresponding to conjunction or meet ∧, and ring addition to exclusivePolynomial expansion (626 words) [view diff] exact match in snippet view article find links to article
product of sums expresses it as a sum of products by using the fact that multiplication distributes over addition. Expansion of a polynomial expression canQuotient group (3,753 words) [view diff] no match in snippet view article find links to article
we are using additive notation for the binary operation instead of multiplicative notation). For a general subgroup H {\displaystyle H} , it is desirableL-infinity (770 words) [view diff] exact match in snippet view article find links to article
conditions of being localizable and therefore semifinite). Pointwise multiplication gives them the structure of a Banach algebra, and in fact they are theAdvanced z-transform (598 words) [view diff] no match in snippet view article find links to article
In mathematics and signal processing, the advanced z-transform is an extension of the z-transform, to incorporate ideal delays that are not multiples ofCytostasis (1,232 words) [view diff] exact match in snippet view article find links to article
(cyto – cell; stasis – stoppage) is the inhibition of cell growth and multiplication. Cytostatic refers to a cellular component or medicine that inhibitsFasciculus Chemicus (457 words) [view diff] exact match in snippet view article find links to article
Weights of 2nd Work 7. Imbibition 8. Fermentation 9. Projection 10. Multiplication During the 1650s an easing of regulations on the licensing of printing-pressesAddition-chain exponentiation (748 words) [view diff] exact match in snippet view article find links to article
that requires a minimal number of multiplications. Using the form of the shortest addition chain, with multiplication instead of addition, computes theSubalgebra (759 words) [view diff] exact match in snippet view article find links to article
vector subspace which is closed under the multiplication of vectors. The restriction of the algebra multiplication makes it an algebra over the same ringInternational Grape Genome Program (744 words) [view diff] exact match in snippet view article find links to article
upon specific genotypes, which in the main have relied on "vegetative multiplication" and control of growing conditions to improve quality and yield. WhileInternational Grape Genome Program (744 words) [view diff] exact match in snippet view article find links to article
upon specific genotypes, which in the main have relied on "vegetative multiplication" and control of growing conditions to improve quality and yield. WhileDecomposition of spectrum (functional analysis) (3,809 words) [view diff] exact match in snippet view article
bounded μ-almost everywhere. An essentially bounded h induces a bounded multiplication operator Th on Lp(μ): ( T h f ) ( s ) = h ( s ) ⋅ f ( s ) . {\displaystyleCytostasis (1,232 words) [view diff] exact match in snippet view article find links to article
(cyto – cell; stasis – stoppage) is the inhibition of cell growth and multiplication. Cytostatic refers to a cellular component or medicine that inhibitsCharge-coupled device (6,364 words) [view diff] exact match in snippet view article find links to article
electron—or not. This removes the noise associated with the stochastic multiplication at the risk of counting multiple electrons in the same pixel as a singlePaul G. Comba (500 words) [view diff] exact match in snippet view article find links to article
in Cryptography, and also developed a multiplication algorithm for large numbers, which reduces the multiplication time to as little as 3% of the conventionalOrnamental bulbous plant (3,800 words) [view diff] exact match in snippet view article find links to article
a new growth cycle. In addition, bulbs permit vegetative or asexual multiplication in these species. Ornamental bulbs are used in parks and gardens andBuilding (mathematics) (3,209 words) [view diff] exact match in snippet view article
convenient to define a frame in V as a basis (vi) determined up to scalar multiplication of each of its vectors vi; in other words a frame is a set of one-dimensionalFeedforward neural network (2,242 words) [view diff] exact match in snippet view article find links to article
sequence processing. However, at every stage of inference a feedforward multiplication remains the core, essential for backpropagation or backpropagation throughZ-order curve (2,681 words) [view diff] exact match in snippet view article find links to article
optimized index, the S2-geometry. The Strassen algorithm for matrix multiplication is based on splitting the matrices in four blocks, and then recursivelyHomogeneity (physics) (1,439 words) [view diff] exact match in snippet view article
of these components are scaled to different values, for example, by multiplication or addition. Cumulative distribution fits this description. "The statePseudovector (4,081 words) [view diff] exact match in snippet view article find links to article
concrete example is that of row and column vectors under the usual matrix multiplication operator: in one order they yield the dot product, which is just a scalarGandhian economics (1,971 words) [view diff] exact match in snippet view article find links to article
Western economic systems were (and are) based on what he called the "multiplication of wants," Gandhi felt that this was both unsustainable and devastatingRetrovirus (4,708 words) [view diff] no match in snippet view article find links to article
A retrovirus is a type of virus that inserts a DNA copy of its RNA genome into the DNA of a host cell that it invades, thus changing the genome of thatAmbiguity (4,352 words) [view diff] exact match in snippet view article find links to article
character * as symbol of multiplication. The Wolfram Language used in Mathematica allows the user to omit the multiplication symbol, but requires squareVector-valued function (3,000 words) [view diff] exact match in snippet view article find links to article
a product of scalar functions. Specifically, in the case of scalar multiplication of a vector, if p is a scalar variable function of q, ∂ ∂ q ( p a )F-space (1,205 words) [view diff] exact match in snippet view article find links to article
X → R {\displaystyle d:X\times X\to \mathbb {R} } such that Scalar multiplication in X {\displaystyle X} is continuous with respect to d {\displaystyleModular form (4,651 words) [view diff] exact match in snippet view article find links to article
fundamental operation in mathematics, after addition, subtraction, multiplication and division. In general, given a subgroup Γ < SL 2 ( Z ) {\displaystyleLinear time-invariant system (5,855 words) [view diff] exact match in snippet view article find links to article
impulse response and ∗ represents convolution (not to be confused with multiplication). What's more, there are systematic methods for solving any such systemInvariant theory (2,582 words) [view diff] exact match in snippet view article find links to article
the special linear group SLn on the space of n by n matrices by left multiplication, then the determinant is an invariant of this action because the determinantCategory of rings (1,814 words) [view diff] exact match in snippet view article find links to article
meaning that the objects are sets with additional structure (addition and multiplication) and the morphisms are functions that preserve this structure. ThereTownsend discharge (2,102 words) [view diff] exact match in snippet view article find links to article
accelerated and free additional electrons. The result is an avalanche multiplication that permits significantly increased electrical conduction through theApplications of dual quaternions to 2D geometry (1,473 words) [view diff] exact match in snippet view article find links to article
application is in representing rigid body motions in 2D space. Unlike multiplication of dual numbers or of complex numbers, that of planar quaternions isOpposite ring (3,532 words) [view diff] exact match in snippet view article find links to article
the multiplication performed in the reverse order. More explicitly, the opposite of a ring (R, +, ⋅) is the ring (R, +, ∗) whose multiplication ∗ isConformable matrix (209 words) [view diff] exact match in snippet view article find links to article
dimensions are suitable for defining some operation (e.g. addition, multiplication, etc.). If two matrices have the same dimensions (number of rows andRing homomorphism (1,641 words) [view diff] exact match in snippet view article find links to article
homomorphism is a function f : R → S that preserves addition, multiplication and multiplicative identity; that is, f ( a + b ) = f ( a ) + f ( b ) , f ( aVertex operator algebra (8,906 words) [view diff] exact match in snippet view article find links to article
because he did not assume the ground ring was divisible.) a linear multiplication map Y : V ⊗ V → V ( ( z ) ) {\displaystyle Y:V\otimes V\rightarrow V((z))}