monotonically increasing function
- monotonically increasing function
- Increase In*crease", v. i. [imp. & p. p. {Increased}; p. pr. &
vb. n. {Increasing}.] [OE. incresen, encresen, enrescen, OF.
encreistre, fr. L. increscere; pref. in- in + crescere to
grow. See {Crescent}, and cf. {Decrease}.]
[1913 Webster]
1. To become greater or more in size, quantity, number,
degree, value, intensity, power, authority, reputation,
wealth; to grow; to augment; to advance; -- opposed to
{decrease}.
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The waters increased and bare up the ark. --Gen.
vii. 17.
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He must increase, but I must decrease. --John iii.
30.
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The heavens forbid
But that our loves and comforts should increase,
Even as our days do grow! --Shak.
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2. To multiply by the production of young; to be fertile,
fruitful, or prolific.
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Fishes are more numerous or increasing than beasts
or birds, as appears by their numerous spawn. --Sir
M. Hale.
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3. (Astron.) To become more nearly full; to show more of the
surface; to wax; as, the moon increases.
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{Increasing function} (Math.), a function whose value
increases when that of the variable increases, and
decreases when the latter is diminished; also called a
{monotonically increasing function}.
Syn: To enlarge; extend; multiply; expand; develop; heighten;
amplify; raise; enhance; spread; aggravate; magnify;
augment; advance.
Usage: To {Increase}, {Enlarge}, {Extend}. Enlarge implies to
make larger or broader in size. Extend marks the
progress of enlargement so as to have wider
boundaries. Increase denotes enlargement by growth and
internal vitality, as in the case of plants. A kingdom
is enlarged by the addition of new territories; the
mind is enlarged by knowledge. A kingdom is extended
when its boundaries are carried to a greater distance
from the center. A man's riches, honors, knowledge,
etc., are increased by accessions which are made from
time to time.
[1913 Webster]
The Collaborative International Dictionary of English.
2000.
Look at other dictionaries:
Increasing function — Increase In*crease , v. i. [imp. & p. p. {Increased}; p. pr. & vb. n. {Increasing}.] [OE. incresen, encresen, enrescen, OF. encreistre, fr. L. increscere; pref. in in + crescere to grow. See {Crescent}, and cf. {Decrease}.] [1913 Webster] 1. To… … The Collaborative International Dictionary of English
Increasing — Increase In*crease , v. i. [imp. & p. p. {Increased}; p. pr. & vb. n. {Increasing}.] [OE. incresen, encresen, enrescen, OF. encreistre, fr. L. increscere; pref. in in + crescere to grow. See {Crescent}, and cf. {Decrease}.] [1913 Webster] 1. To… … The Collaborative International Dictionary of English
Monotonic function — Monotonicity redirects here. For information on monotonicity as it pertains to voting systems, see monotonicity criterion. Monotonic redirects here. For other uses, see Monotone (disambiguation). Figure 1. A monotonically increasing function (it… … Wikipedia
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Multivalued function — This diagram does not represent a true function, because the element 3 in X is associated with two elements, b and c, in Y. In mathematics, a multivalued function (shortly: multifunction, other names: set valued function, set valued map, multi… … Wikipedia
