Crossword clues for multiplication
Longman Dictionary of Contemporary English
The Collaborative International Dictionary
Compound \Com"pound\,
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[OE. compouned, p. p. of compounen. See Compound, v. t.] Composed of two or more elements, ingredients, parts; produced by the union of several ingredients, parts, or things; composite; as, a compound word.
Compound substances are made up of two or more simple substances.
--I. Watts.Compound addition, subtraction, multiplication, division (Arith.), the addition, subtraction, etc., of compound numbers.
Compound crystal (Crystallog.), a twin crystal, or one seeming to be made up of two or more crystals combined according to regular laws of composition.
Compound engine (Mech.), a form of steam engine in which the steam that has been used in a high-pressure cylinder is made to do further service in a larger low-pressure cylinder, sometimes in several larger cylinders, successively.
Compound ether. (Chem.) See under Ether.
Compound flower (Bot.), a flower head resembling a single flower, but really composed of several florets inclosed in a common calyxlike involucre, as the sunflower or dandelion.
Compound fraction. (Math.) See Fraction.
Compound fracture. See Fracture.
Compound householder, a householder who compounds or arranges with his landlord that his rates shall be included in his rents. [Eng.]
Compound interest. See Interest.
Compound larceny. (Law) See Larceny.
Compound leaf (Bot.), a leaf having two or more separate blades or leaflets on a common leafstalk.
Compound microscope. See Microscope.
Compound motion. See Motion.
Compound number (Math.), one constructed according to a varying scale of denomination; as, 3 cwt., 1 qr., 5 l
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; -- called also denominate number.
Compound pier (Arch.), a clustered column.
Compound quantity (Alg.), a quantity composed of two or more simple quantities or terms, connected by the sign + (plus) or - (minus). Thus, a + b - c, and bb - b, are compound quantities.
Compound radical. (Chem.) See Radical.
Compound ratio (Math.), the product of two or more ratios; thus ab:cd is a ratio compounded of the simple ratios a:c and b:d.
Compound rest (Mech.), the tool carriage of an engine lathe.
Compound screw (Mech.), a screw having on the same axis two or more screws with different pitch (a differential screw), or running in different directions (a right and left screw).
Compound time (Mus.), that in which two or more simple measures are combined in one; as, 6-8 time is the joining of two measures of 3-8 time.
Compound word, a word composed of two or more words; specifically, two or more words joined together by a hyphen.
Douglas Harper's Etymology Dictionary
mid-14c., from Old French multiplicacion (12c.) "multiplication, duplication; multiplicity, diversity," from Latin multiplicationem (nominative multiplicatio), noun of action from past participle stem of multiplicare (see multiply). Mathematical sense is attested from late 14c.
Wiktionary
n. (context uncountable mathematics English) The process of computing the sum of a number with itself a specified number of times, or any other analogous binary operation that combines other mathematical objects.
WordNet
n. 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" [syn: times]
the act of producing offspring or multiplying by such production [syn: generation, propagation]
a multiplicative increase; "repeated copying leads to a multiplication of errors"; "this multiplication of cells is a natural correlate of growth"
Wikipedia
Multiplication is an elementary mathematical operation.
Multiplication or multiply may also refer to:
- A generalized multiplicative function, in number theory
- Multiply (website), e-commerce website based in Jakarta, Indonesia
- Multiplication of money
- Multiplication (alchemy), an alchemical process
Multiplication (often denoted by the cross symbol " ×", by a point " ·", or by the absence of symbol) is one of the four elementary, mathematical operations of arithmetic; with the others being addition, subtraction and division.
The multiplication of whole numbers may be thought as a repeated addition; that is, the multiplication of two numbers is equivalent to adding as many copies of one of them, the multiplicand, as the value of the other one, the multiplier. Normally, the multiplier is written first and multiplicand second, though this can vary, as the distinction is not very meaningful:
$$a\times b = \underbrace{b + \cdots + b}_a = \underbrace{a + \cdots + a}_b$$
For example, 4 multiplied by 3 (often written as 3 × 4 and said as "3 times 4") can be calculated by adding 3 copies of 4 together:
3 × 4 = 4 + 4 + 4 = 12
Here 3 and 4 are the "factors" and 12 is the "product".
One of the main properties of multiplication is the commutative property, adding 3 copies of 4 gives the same result as adding 4 copies of 3:
4 × 3 = 3 + 3 + 3 + 3 = 12
The multiplication of integers (including negative numbers), rational numbers (fractions) and real numbers is defined by a systematic generalization of this basic definition.
Multiplication can also be visualized as counting objects arranged in a rectangle (for whole numbers) or as finding the area of a rectangle whose sides have given lengths. The area of a rectangle does not depend on which side is measured first, which illustrates the commutative property. The product of two measurements is a new type of measurement, for instance multiplying the lengths of the two sides of a rectangle gives its area, this is the subject of dimensional analysis.
The inverse operation of multiplication is division. For example, since 4 multiplied by 3 equals 12, then 12 divided by 3 equals 4. Multiplication by 3, followed by division by 3, yields the original number (since the division of a number other than 0 by itself equals 1).
Multiplication is also defined for other types of numbers, such as complex numbers, and more abstract constructs, like matrices. For these more abstract constructs, the order that the operands are multiplied sometimes does matter. A listing of the many different kinds of products that are used in mathematics is given in the product (mathematics) page.
Multiplication is the process in Western alchemy used to increase the potency of the philosopher's stone, elixir or projection powder. It occurs near the end of the magnum opus in order to increase the gains in the subsequent projection. George Ripley gives the following definition of multiplication:
Augmentation it is of the Elixer indeede, In goodnes and quantitie both for white and red Multiplication is therefore as they doe write, That thing that doth augment medicines in each degree, In colour, in odour, in vertue and also in quantitee.Multiplication was also used to describe the facet of alchemy chiefly concerned with the reproduction of physical gold and silver. Such is the case in Henry IV's 1404 statute against the craft of multiplication. Henry VI began to issue patents for the practice of alchemy, but the parliamentary act against multipliers was not repealed until 1689.
The mathematical operations of multiplication have several applications to music. Other than its application to the frequency ratios of intervals (e.g., Just intonation, and the twelfth root of two in equal temperament), it has been used in other ways for twelve-tone technique, and musical set theory. Additionally ring modulation is an electrical audio process involving multiplication that has been used for musical effect.
A multiplicative operation is a mapping in which the argument is multiplied . Multiplication originated intuitively in interval expansion, including tone row order number rotation, for example in the music of Béla Bartók and Alban Berg . Pitch number rotation, Fünferreihe or "five-series" and Siebenerreihe or "seven-series", was first described by Ernst Krenek in Über neue Musik (; ). Princeton-based theorists, including James K. , Godfrey , and Hubert S. "were the first to discuss and adopt them, not only with regards to twelve-tone series" .
Usage examples of "multiplication".
She moved a cautious step backwards, watching them asshe went, and not having any trouble now remembering her multiplication.
In ancient times, it was said, the folk had employed fire for similar purposes: however, during the Age of Multiplication fire had fallen out of use except for very special purposes, because most burnable substances were far too valuable for other applications.
In the presence of the Society Broca gave him verbally a task in multiplication, composed of some trillions to be multiplied by billions.
They eat mainly grass and greenstuffs, so what is the harm in encouraging their multiplication in captivity?
The Odynerus has for its instinctive mission to arrest the excessive multiplication of a lucerne weevil, no less than twenty-four of whose grubs are necessary to rear the offspring of the brigand, and nearly sixty gadflies are sacrificed to the growth of a single Bembex.
Long division was taught as a set of rules from a cookbook, with no explanation of how this particular sequence of short divisions, multiplications and subtractions got you the right answer.
On the principle of the multiplication and gradual divergence in character of the species descended from a common parent, together with their retention by inheritance of some characters in common, we can understand the excessively complex and radiating affinities by which all the members of the same family or higher group are connected together.
Tally, with his eighteen-attosecond memory cycle, could compute trillions of twenty-digit multiplications in the time of a human eye-blink.
As this multiplication progressed, the surrounding tissues would be destroyed, the channels plugged with bacilli.
But Abu gave his answers in exponential notation, so Belbo was unable to daunt Diotallevi with a screen full of endless zeros: a pale visual imitation of the multiplication of combinatorial universes, of the exploding swarm of all possible worlds.
The working is greatly simplified by a process of elimination, based on such considerations as that certain multiplications produce a repetition of figures, and that the whole number cannot be from 12 to 23 inclusive, since in every such case sufficiently small denominators are not available for forming the fractional part.
The failure may in some measure be ascribed to the abuse and multiplication of the crusades, which were preached at the same time against the Pagans of Livonia, the Moors of Spain, the Albigeois of France, and the kings of Sicily of the Imperial family.
The failure may in some measure be ascribed to the abuse and multiplication of the crusades, which were preached at the same time against the Pagans of Livonia, the Moors of Spain, the Albigeois of France, and the kings of Sicily of the Imperial family.
And thus we find that the simple division into two is the method of multiplication of the Amoeba, the lowest, simplest, and most absolute form of physical life that we know.
It appears in the endless multiplication of his personality into abstract types which mythology strives to make concrete.