# multiplication

## Definitions

• "MULTIPLICATION IS VEXATION."
• WordNet 3.6
• n multiplication the act of producing offspring or multiplying by such production
• n multiplication an arithmetic operation that is the inverse of division; the product of two numbers is computed "the multiplication of four by three gives twelve","four times three equals twelve"
• n multiplication a multiplicative increase "repeated copying leads to a multiplication of errors","this multiplication of cells is a natural correlate of growth"
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Webster's Revised Unabridged Dictionary
• Interesting fact: There are about 125 million multiples (twins, triplets, etc.) worldwide
• Multiplication (Bot) An increase above the normal number of parts, especially of petals; augmentation.
• Multiplication The act or process of multiplying, or of increasing in number; the state of being multiplied; as, the multiplication of the human species by natural generation. "The increase and multiplication of the world."
• multiplication (Arith) the addition, subtraction, etc., of compound numbers.
• Multiplication The art of increasing gold or silver by magic, -- attributed formerly to the alchemists.
• Multiplication (Math) The process of repeating, or adding to itself, any given number or quantity a certain number of times; commonly, the process of ascertaining by a briefer computation the result of such repeated additions; also, the rule by which the operation is performed; -- the reverse of division.
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Century Dictionary and Cyclopedia
• Interesting fact: Probably the best known multiple meaning is the hebrew word "SHALOM" which means, alternately, "hello", "good-bye", and "peace"
• n multiplication The act or process of multiplying or of increasing in number; the state of being multiplied: as, the multiplication of the human species by natural generation.
• n multiplication An arithmetical process in which one number, the multiplier, is considered as an operator upon another, the multiplicand, the result, called the product, being the total number of units in as many groups as there are units in the multiplier, each group being equal in number to the multiplicand; more generally, the operation of finding the quantity which results from substituting the multiplicand in place of unity in the multiplier. Thus, the multiplication of 4 by 5 gives 5 times 4, or the number of units in five groups of four units each; so the multiplication of ⅖, by consists in finding not of unity, but of ⅖ of unity. By a further generalization, multiplication in the higher mathematics is regarded as the process of bringing an operand under an operator. Thus, in quaternions, if u be the operation of turning a line in a given direction through a given angle, and if v be another similar versor, then uv, or the result of the multiplication of v by u, is the rotation which would result from turning a line first through v and then through u. In like manner, in the theory of differential equations, if Dx denote the operation of differentiation relatively to the variable x, and Dy denote the same operation relatively to the variable y, then the operation of differentiating first relatively to y and then relatively to x is regarded as the product of Dy by Dx, and is written Dx Dy. In the algebra of logical relations, the multiplication of one relative by another consists in putting the relates of the multiplicand disjunctively in place of the correlates of the multiplier. In other cases, multiplication consists in conjoining (in some specific way) each unit of the multiplier with each unit of the multiplicand: and this definition may be regarded as including every other. Thus, the multiplication of 2 feet of length by 3 feet of breadth is considered as giving 6 feet of area, in each of which square feet one unit of length is conjoined with one unit of breadth. So the momentum of a body having a motion of translation is said to be the product of the mass into the velocity — that is, is the result of imparting to each particle of the mass the whole of the given velocity. In the Boolian algebra, the product of two classes A and B is the whole of the class embraced by both — that is, it embraces all the individuals each of which reunites the characters of A and of B. In algebra, multiplication is denoted by writing the multiplier before the multiplicand, either directly, or with a cross (×) or a dot (.) interposed between them. All multiplication follows the distributive principle, expressed by the formula
• n multiplication (a + b) (c + d) = ac + bc + ad + bd.
• n multiplication Under certain restrictions, all multiplication follows the associative principle, expressed by the formula a (bc) = (ab)c. According to the nature of the conjunction of units, multiplication does or does not follow the commutative principle, expressed by the formula ab = ba.
• n multiplication Specifically, in botany, increase in the number of parts of a flower, either
• n multiplication in the number of whorls or spiral turns, or
• n multiplication in the number of organs (pistils, stamens, petals, or sepals) in any whorl, circle, or spiral turn. Also called augmentation. See chorisis.
• n multiplication The supposed art of increasing gold and silver by alchemical means.
• n multiplication A dice-game in which the highest of three dice thrown is left on the table. The remaining two are thrown again, and the higher left, and then the third is thrown as a multiplier of the sum of the other two. The player who gets the highest total in this way wins.
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Chambers's Twentieth Century Dictionary
• Interesting fact: The numbers 111 222 333 444 555 666 777 888 999 are all multiples of 37.
• n Multiplication the act of multiplying or increasing in number: the rule or operation by which any given number or quantity is multiplied
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## Quotations

• Gypsy Smith
“You save an old man and you save a unit; but save a boy, and you save a multiplication table.”
• Mark Twain
“Civilization is a limitless multiplication of unnecessary necessities.”
“What is here is also there; what is there, is also here. Who sees multiplicity but not the one indivisible Self must wander on and on from death to death.”
• Rush Limbaugh
“Did you know that the White House drug test is multiple choice?”
• Jim Rohn
“For every disciplined effort there is a multiple reward.”
• St. Augustine
“By faithfulness we are collected and wound up into unity within ourselves, whereas we had been scattered abroad in multiplicity.”

## Etymology

Webster's Revised Unabridged Dictionary
L. multiplicatio,: cf. F. multiplication,. See Multiply
Chambers's Twentieth Century Dictionary
Fr.,—L. multiplex. See Multiple.

## Usage

### In literature:

I knew my multiplication table thoroughly; I had acquired it in the interval now forgotten.
"Who Goes There?" by Blackwood Ketcham Benson
It is the quality of the dinner which pleases, and not the multiplicity of dishes.
"Science in the Kitchen." by Mrs. E. E. Kellogg
He could have listened with rapture to its recital of the multiplication table.
"Round the Block" by John Bell Bouton
Nor should there be an unnecessary multiplicity of walks.
"Flowers and Flower-Gardens" by David Lester Richardson
The bottom trouble of the world in which we live is the enormous over-multiplication of our wants.
"The Church and Modern Life" by Washington Gladden
I have said that this endless multiplicity and variety can not be reduced and simplified by classification.
"The Teacher" by Jacob Abbott
With this change came at once the multiplication of slaves and large returns.
"Thirty Years in the Itinerancy" by Wesson Gage Miller
A number of cells can be arranged in multiple arc or in series, like any other battery.
"Scientific American Supplement, No. 492, June 6, 1885" by Various
Millet, with a multiplicity too tedious to enumerate.
"Observations Upon The Windward Coast Of Africa" by Joseph Corry
The sky and sea vied in the brilliant multiplicity of their blended tints.
"The Mirror of Literature, Amusement, and Instruction" by Various
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### In poetry:

In us a multiplicity lives.
It fumbles towards unity.
Its capturing, gathering burning­glass
we were born to be.
"Man's Multiplicity" by Karin Boye
In the three-part shadow of troubled sleep
I come to you the double the multiple
as like you as the era of deltas.
"The Season Of Loves" by Paul Eluard
So all I feel and see
Breaks to the thousand-fold of Fate and Chance,
But from the moment's multiplicity
Takes itself up into the thought of thee.
"Fragment of Ballad" by Sydney Thompson Dobell
And thence go down where ghosts have died
And famished ghouls and vampires glide;
Or tarry in years behind the tomb;
Or in the multiple futures bide.
"Dominium in Excelsis" by Clark Ashton Smith
In the long sunset where impatient sound
Strips niggers to a multiple of backs
Flies yield their heat, magnolias drench the ground
With Appomattox! The shadows lie in stacks.
"Idiot" by Allen Tate
As a sliding wave of sliding sea
Before my following hand doth dance
Ever and ever onward to the shore,
And breaks and is a thousand things at once,
And from the moment's multiplicity
Takes itself up again into a wave:
"Fragment of Ballad" by Sydney Thompson Dobell

### In news:

It takes perfection in multiple facets — tempo, timbre, melody, etc.
Mom would wake me up (multiple times).
A day after Montazeri died at age 87 of multiple organ failure, several leading ayatollahs paid their respects to the cleric in the Shiite Muslim holy city of Qom.
Were arrested on multiple charges between Sept 24 and 25.
Hall of Fame trainer Bobby Frankel loves the position he is in with Juddmonte Farms' multiple grade I winner Sightseek.
SHREWSBURY — Most people who have multiple sclerosis aren't belly-dancer s.
Most people who have multiple sclerosis aren't belly-dancer s.
Multiple tornadoes ripped through western Iowa, Saturday, including one which leveled 20 percent of the town of Mapleton.
Many of these soldiers had followed him through multiple tours in Iraq and Afghanistan over the past decade.
Multiple DSLR bodies, big 400mm 2.8 lenses and remote cameras attached to special robots.
With a multi-channel presence in several countries, Calumet Photographic is helping to drive up web sales in Europe as well as the US by 20% with online product tours in multiple languages, chief technology officer Joe Henson says.
She has another 'SNL' performance under her belt, and multiple hits on the charts.
"There are multiple campsites in the area, and they were in separate campsites ," Bender said.
Romero faces multiple charges, including attempted murder, after the stabbing.
Mellor has been creating puzzles for multiple publications for more than eight years.
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### In science:

More precisely, in each of these inﬁnitely many differential algebras of generalized functions, the multiplication of C∞ -smooth functions is the same with their usual multiplication.
New Symmetry Groups for Generalized Solutions of ODEs
However, the multiplication of functions which are less than C∞ -smooth, and in particular, the multiplication of distributions or generalized functions can depend on the speciﬁc algebra in which the respective multiplication is performed.
New Symmetry Groups for Generalized Solutions of ODEs
If c is a multiple of m and e ∈ N such that ρ − (c + e) > −s + mn then the natural map Re → hom(Rc , Rc+e ) induced by the ring multiplication is injective.
Non-genericity of infinitesimal variations of Hodge structures arising in some geometric contexts
R(p,d(X )) , R(p+1,d(X )) (cid:1) —where the top horizontal arrow is the action of the inﬁnitesimal variation and the bottom one is induced by multiplication— commutes up to a multiplicative constant.
Non-genericity of infinitesimal variations of Hodge structures arising in some geometric contexts
By sending out multiple sticky random walkers, we obtained multiple sticky strings.
Delayed Random Walks and Control
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