catflap.org Online Dictionary Query

  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.]
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     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]

  monotonically increasing function /mənətˈɒnɪkli ɪŋkɹˈiːsɪŋ fˈʌŋkʃən/
  monoton steigende / wachsende Funktion
     Synonym: increasing function
  
   see: monotonic function, monotone function, monotonically decreasing function, decreasing function, monotonic non-increasing function