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I am from a non-English speaking country. Should we say monotonous function or monotonic function?

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    $\begingroup$ Monotonic, definitely. Monotone is also fine. Monotonous in everyday usage means boring. $\endgroup$ Apr 12, 2015 at 13:53
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    $\begingroup$ So I guess nobody will be interested in monotonous functions. ;-) $\endgroup$
    – celtschk
    Apr 12, 2015 at 15:24
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    $\begingroup$ In Italian the difference is even worse. The difference is between the correct monotòne and monòtone. (0 letters difference, just the accent). $\endgroup$
    – Bakuriu
    Apr 12, 2015 at 16:57
  • $\begingroup$ Just for completeness, see: math.stackexchange.com/questions/365717/… Apparently, the difference between monotonous and monotonic in some languages is minimal, and we see it often misused as "monotonous" here. $\endgroup$ Nov 6, 2015 at 17:10

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"Monotonic" or "monotone", but not "monotonous" (boring).

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That would be monotonic function. Monotonic is always used in relation to the function you are talking about.

http://mathworld.wolfram.com/MonotonicFunction.html

Monotonic describes something this is unchanged or altered, such as the function in maths whereas Monotonous describes something lacking in variety and is usually used in reference to tone.

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    $\begingroup$ "Monotone" is also acceptable (though not mentioned in the question). $\endgroup$ Apr 12, 2015 at 18:42
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monotonic for sure is to be used. Monotonic functions are those functions which are either increasing or decreasing. They are such that for each specific value of x there is a unique y(value of function) which does not repeat for any other x.

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