Definition of Probl. Meaning of Probl. Synonyms of Probl
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Definition of Probl
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Determinate problem Determinate De*ter"mi*nate, a. [L. determinatus, p. p. of
determinare. See Determine.]
1. Having defined limits; not uncertain or arbitrary; fixed;
established; definite.
Quantity of words and a determinate number of feet.
--Dryden.
2. Conclusive; decisive; positive.
The determinate counsel and foreknowledge of God.
--Acts ii. 23.
3. Determined or resolved upon. [Obs.]
My determinate voyage. --Shak.
4. Of determined purpose; resolute. [Obs.]
More determinate to do than skillful how to do.
--Sir P.
Sidney.
Determinate inflorescence (Bot.), that in which the
flowering commences with the terminal bud of a stem, which
puts a limit to its growth; -- also called centrifugal
inflorescence.
Determinate problem (Math.), a problem which admits of a
limited number of solutions.
Determinate quantities, Determinate equations (Math.),
those that are finite in the number of values or
solutions, that is, in which the conditions of the problem
or equation determine the number.
Discussion of a problem Discussion Dis*cus"sion, n. [L. discussio a shaking,
examination, discussion: cf. F. discussion.]
1. The act or process of discussing by breaking up, or
dispersing, as a tumor, or the like.
2. The act of discussing or exchanging reasons; examination
by argument; debate; disputation; agitation.
The liberty of discussion is the great safeguard of
all other liberties. --Macaulay.
Discussion of a problem or an equation (Math.), the
operation of assigning different reasonable values to the
arbitrary quantities and interpreting the result. --Math.
Dict.
Indeterminate problem Indeterminate In`de*ter"mi*nate, a. [L. indeterminatus.]
Not determinate; not certain or fixed; indefinite; not
precise; as, an indeterminate number of years. --Paley.
Indeterminate analysis (Math.), that branch of analysis
which has for its object the solution of indeterminate
problems.
Indeterminate coefficients (Math.), coefficients
arbitrarily assumed for convenience of calculation, or to
facilitate some artifice of analysis. Their values are
subsequently determined.
Indeterminate equation (Math.), an equation in which the
unknown quantities admit of an infinite number of values,
or sets of values. A group of equations is indeterminate
when it contains more unknown quantities than there are
equations.
Indeterminate inflorescence (Bot.), a mode of inflorescence
in which the flowers all arise from axillary buds, the
terminal bud going on to grow and sometimes continuing the
stem indefinitely; -- called also acropetal, botryose,
centripetal, & indefinite inflorescence. --Gray.
Indeterminate problem (Math.), a problem which admits of an
infinite number of solutions, or one in which there are
fewer imposed conditions than there are unknown or
required results.
Indeterminate quantity (Math.), a quantity which has no
fixed value, but which may be varied in accordance with
any proposed condition.
Indeterminate series (Math.), a series whose terms proceed
by the powers of an indeterminate quantity, sometimes also
with indeterminate exponents, or indeterminate
coefficients. -- In`de*ter"mi*nate*ly adv. --
In`de*ter"mi*nate*ness, n.
Linear problem Linear measure, the measurement of length.
Linear numbers (Math.), such numbers as have relation to
length only: such is a number which represents one side of
a plane figure. If the plane figure is a square, the
linear figure is called a root.
Linear problem (Geom.), a problem which may be solved
geometrically by the use of right lines alone.
Linear transformation (Alg.), a change of variables where
each variable is replaced by a function of the first
degree in the new variable.
Plane problem Problem Prob"lem, n. [F. probl[`e]me, L. problema, fr. Gr. ?
anything thrown forward, a question proposed for solution,
fr. ? to throw or lay before; ? before, forward + ? to throw.
Cf. Parable. ]
1. A question proposed for solution; a matter stated for
examination or proof; hence, a matter difficult of
solution or settlement; a doubtful case; a question
involving doubt. --Bacon.
2. (Math.) Anything which is required to be done; as, in
geometry, to bisect a line, to draw a perpendicular; or,
in algebra, to find an unknown quantity.
Note: Problem differs from theorem in this, that a problem is
something to be done, as to bisect a triangle, to
describe a circle, etc.; a theorem is something to be
proved, as that all the angles of a triangle are equal
to two right angles.
Plane problem (Geom.), a problem that can be solved by the
use of the rule and compass.
Solid problem (Geom.), a problem requiring in its geometric
solution the use of a conic section or higher curve.
Problem Problem Prob"lem, n. [F. probl[`e]me, L. problema, fr. Gr. ?
anything thrown forward, a question proposed for solution,
fr. ? to throw or lay before; ? before, forward + ? to throw.
Cf. Parable. ]
1. A question proposed for solution; a matter stated for
examination or proof; hence, a matter difficult of
solution or settlement; a doubtful case; a question
involving doubt. --Bacon.
2. (Math.) Anything which is required to be done; as, in
geometry, to bisect a line, to draw a perpendicular; or,
in algebra, to find an unknown quantity.
Note: Problem differs from theorem in this, that a problem is
something to be done, as to bisect a triangle, to
describe a circle, etc.; a theorem is something to be
proved, as that all the angles of a triangle are equal
to two right angles.
Plane problem (Geom.), a problem that can be solved by the
use of the rule and compass.
Solid problem (Geom.), a problem requiring in its geometric
solution the use of a conic section or higher curve.
Problematist Problematist Prob"lem*a*tist, n.
One who proposes problems. [R.] --Evelyn.
Problematize Problematize Prob"lem*a*tize, v. t.
To propose problems. [R.] ``Hear him problematize.' --B.
Jonson.
Solid problem Problem Prob"lem, n. [F. probl[`e]me, L. problema, fr. Gr. ?
anything thrown forward, a question proposed for solution,
fr. ? to throw or lay before; ? before, forward + ? to throw.
Cf. Parable. ]
1. A question proposed for solution; a matter stated for
examination or proof; hence, a matter difficult of
solution or settlement; a doubtful case; a question
involving doubt. --Bacon.
2. (Math.) Anything which is required to be done; as, in
geometry, to bisect a line, to draw a perpendicular; or,
in algebra, to find an unknown quantity.
Note: Problem differs from theorem in this, that a problem is
something to be done, as to bisect a triangle, to
describe a circle, etc.; a theorem is something to be
proved, as that all the angles of a triangle are equal
to two right angles.
Plane problem (Geom.), a problem that can be solved by the
use of the rule and compass.
Solid problem (Geom.), a problem requiring in its geometric
solution the use of a conic section or higher curve.
Unlimited problem Unlimited Un*lim"it*ed, a.
1. Not limited; having no bounds; boundless; as, an unlimited
expanse of ocean.
2. Undefined; indefinite; not bounded by proper exceptions;
as, unlimited terms. ``Nothing doth more prevail than
unlimited generalities.' --Hooker.
3. Unconfined; not restrained; unrestricted.
Ascribe not unto God such an unlimited exercise of
mercy as may destroy his justice. --Rogers.
Unlimited problem (Math.), a problem which is capable of an
infinite number of solutions.
Unlimited pump, a kind of deep-well pump placed at the
level of the water, and operated from above ground. --
Un*lim"it*ed*ly, adv. -- Un*lim"it*ed*ness, n.
