Hypertext Webster Gateway: "multiplication"

From Webster's Revised Unabridged Dictionary (1913) (web1913)

Multiplication \Mul`ti*pli*ca"tion\, n. [L. multiplicatio: cf.
F. multiplication. See {Multiply}.]
1. 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.
--Thackeray.

2. (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.

Note: The word multiplication is sometimes used in
mathematics, particularly in multiple algebra, to
denote any distributive operation expressed by one
symbol upon any quantity or any thing expressed by
another symbol. Corresponding extensions of meaning are
given to the words multiply, multiplier, multiplicand,
and product. Thus, since [phi](x + y) = [phi]x + [phi]y
(see under {Distributive}), where [phi](x + y), [phi]x,
and [phi]y indicate the results of any distributive
operation represented by the symbol [phi] upon x + y,
x, and y, severally, then because of many very useful
analogies [phi](x + y) is called the product of [phi]
and x + y, and the operation indicated by [phi] is
called multiplication. Cf. {Facient}, n., 2.

3. (Bot.) An increase above the normal number of parts,
especially of petals; augmentation.

4. The art of increasing gold or silver by magic, --
attributed formerly to the alchemists. [Obs.] --Chaucer.

{Multiplication table}, a table giving the product of a set
of numbers multiplied in some regular way; commonly, a
table giving the products of the first ten or twelve
numbers multiplied successively by 1, 2, 3, etc., up to 10
or 12.

From Webster's Revised Unabridged Dictionary (1913) (web1913)

Compound \Com"pound\, a. [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 lb.;
-- 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.

From WordNet (r) 1.7 (wn)

multiplication
n 1: 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}]
2: the act of propagating [syn: {generation}, {propagation}]
3: the process of multiplying; "this multiplication of cells is
a natural correlate of growth"


Additional Hypertext Webster Gateway Lookup

Enter word here:
Exact Approx


dict.stokkie.net
Gateway by dict@stokkie.net
stock only wrote the gateway and does not have any control over the contents; see the Webster Gateway FAQ, and also the Back-end/database links and credits.