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Webster 1913 Edition


Variable

Va′ri-a-ble

,
Adj.
[L.
variabilis
: cf. F.
variable
.]
1.
Having the capacity of varying or changing; capable of alternation in any manner; changeable;
as,
variable
winds or seasons; a
variable
quantity.
2.
Liable to vary; too susceptible of change; mutable; fickle; unsteady; inconstant;
as, the affections of men are
variable
; passions are
variable
.
Lest that thy love prove likewise
variable
.
Shakespeare
His heart, I know, how
variable
and vain!
Milton.
Variable exhaust
(Steam Eng.)
,
a blast pipe with an adjustable opening.
–
Variable quantity
(Math.)
,
a variable.
–
Variable-rate mortgage
(Finance)
,
a mortgage whose percentage interest rate varies depending on some agreed standard, such as the prime rate; – used often in financing the purchase of a home. Such a mortgage usually has a lower initial interest rate than a
fixed-rate mortgage
, and this permits buyers of a home to finance the purchase a house of higher price than would be possible with a fixed-rate loan.
–
Variable stars
(Astron.)
,
fixed stars which vary in their brightness, usually in more or less uniform periods.
Syn. – Changeable; mutable; fickle; wavering; unsteady; versatile; inconstant.

Va′ri-a-ble

,
Noun.
1.
That which is variable; that which varies, or is subject to change.
2.
(Math.)
A quantity which may increase or decrease; a quantity which admits of an infinite number of values in the same expression; a variable quantity;
as, in the equation
x
2
- y
2
= R
2
, x and y are
variables
.
3.
(Naut.)
(a)
A shifting wind, or one that varies in force.
(b)
pl.
Those parts of the sea where a steady wind is not expected, especially the parts between the trade-wind belts.
Independent variable
(Math.)
,
that one of two or more variables, connected with each other in any way whatever, to which changes are supposed to be given at will.
Thus, in the equation
x
2
- y
2
= R
2
, if arbitrary changes are supposed to be given to x, then x is the
independent variable
, and y is called a function of x.
There may be two or more independent variables in an equation or problem. Cf.
Dependent variable
, under
Dependent
.

Webster 1828 Edition


Variable

VA'RIABLE

,
Adj.
1.
That may vary or alter; capable of alteration in any manner; changeable; as variable winds or seasons; variable colors.
2.
Susceptible of change; liable to change; mutable; fickle; unsteady; inconstant; as, the affections of men are variable; passions are variable.
His heart I know, how variable and vain.
3.
In mathematics, subject to continual increase or decrease; in opposition to constant, retaining the same value.

VA'RIABLE

,
Noun.
In mathematics, a quantity which is in a state of continual increase or decrease. The indefinitely small quantity by which a variable is continually increased or diminished, is called its differential, and the method of finding these quantities, the differential calculus.