# monoton fallende Funktion

## English translation: monotonically decreasing function.

GLOSSARY ENTRY (DERIVED FROM QUESTION BELOW)
 German term or phrase: monoton fallende Funktion English translation: monotonically decreasing function. Entered by:

 15:37 Nov 25, 2004
German to English translations [PRO]
Tech/Engineering - Mathematics & Statistics / image segmentation
 German term or phrase: monoton fallende Funktion This term appears in the following context: Waehlt man fuer c(m, n) die absolute Intensitaetsabweichung des Bildpunktes
 Dr. Fred ThomsonUnited States Local time: 19:07
 monotone decreasing function Explanation:Here is just one of many occurences on the web: http://www.geom.uiuc.edu/education/calc-init/integration/CO2...
Selected response from:

Alan Johnson
Germany
Local time: 03:07
 Thanks, Alan. You were first, but I do like Richard's monotonically decreasing function.4 KudoZ points were awarded for this answer

5 +3monotonically decreasing function
 Richard Benham
4 +2monotone decreasing function
 Alan Johnson
4monotonic decreasing function
 Roddy Stegemann
4 -1monotone regression function
 Wolfgang Pfirrmann

4 mins   confidence: peer agreement (net): +2
monotone decreasing function

Explanation:
Here is just one of many occurences on the web:
http://www.geom.uiuc.edu/education/calc-init/integration/CO2...

 Alan JohnsonGermanyLocal time: 03:07Native speaker of: EnglishPRO pts in category: 18
 Thanks, Alan. You were first, but I do like Richard's monotonically decreasing function.

agree  Richard Benham: ...or monotonic(ally) decreasing function. "Monotone decreasing" is a grammatically weird expression we got from German mathematicians, but it has stuck.//The first thing I saw when I looked at your ref. was "monotonically decreasing"....
 18 mins

agree
 28 mins

32 mins   confidence: peer agreement (net): -1
monotone regression function

Explanation:
regressions seems to be the term used more than declining in statistical analysis

Reference: http://www.telecom.tuc.gr/~nikos/00747782.pdf
 Wolfgang PfirrmannUnited StatesLocal time: 20:07Native speaker of: German

disagree  Richard Benham: Regression is something completely different.
 2 mins

34 mins   confidence: peer agreement (net): +3
monotonically decreasing function

Explanation:
When I did undergraduate mathematics, the first expression I learned for this concept was "monotone in-/decreasing function". I thought at the time that this was a little ungramamtical, and, when I later observed that the term "monotonically in-/decreasing" also occurs quite frequently in the literature, I was relieved and resolved to use it in preference to its grammatically suspect cousin.

A monotonically decreasing function is one that never goes up--it either stays the same or goes down. If it's monotonically *strictly* decreasing, then it doesn't even stay the same, but always goes down.

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Note added at 38 mins (2004-11-25 16:16:26 GMT)
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(I shoud add that \"mit e(m,n)\" may change the translation. Maybe \"the function [formula] which is monotonically decreasing in e(m,n)\". I can\'t be 100% sure about this without seeing the formulae.)

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Note added at 44 mins (2004-11-25 16:22:14 GMT)
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Oops! \"should\" above.

For those people who haven\'t grown out of counting Googlies, I will quote the following figures:
monotonously-decreasing-fucntion: 512
monotonic-decreasing-function: 3,040
monotone-decreasing-function: 3,550
monotonically-deccreasing-function: 16,200

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Note added at 50 mins (2004-11-25 16:27:44 GMT)
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And for increasing functions:
-ously: 626
-onic: 4,800
-one: 6,590
-onically: 24,300

And to anyone who would suggest that the figures for \"increasing\" are irrelevant, I would point out that the two concepts are symmetrical and interdefinable and usually defined together.

 Richard BenhamFranceLocal time: 03:07Specializes in fieldNative speaker of: EnglishPRO pts in category: 12

agree  Zareh Darakjian Ph.D.: Yes, for adverb. Also I have yet to see "monotone decreasing function" used...may be very rarerly.
 2 hrs
-> IT occurs. I think it came from a careless DE>EN translator not noticing that in "monoton fallende Funktion" "monoton" is uninflected and therefore an ADVERB.

agree
 2 hrs
-> Thanks Ken.

agree  Sven Petersson: I was wrong, you are right!
 5 hrs
-> Thanks Sven. It was good of you to come out and say it.

1 hr   confidence:
monotonic decreasing function

Explanation:
This discussion reminds me of another that we had a while back with regard to the use of Anglophone and Anglophonic. May I now offer the following:

The structure of the phrase monotonic decreasing function consists of an adjective (monotonic), a present participle used as an adjective (decreasing), and a noun (function). In mathematics there exist both monotonic functions and decreasing functions. Thus, it should be of no surprise to anyone to learn that there also exists something called monotonic decreasing functions.

If only grammarians knew how to write!

Cheers,
and
Happy Thanksgiving Day
from Hong Kong!

Hamo

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Note added at 1 hr 13 mins (2004-11-25 16:50:35 GMT)
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Disclaimer: My full use of this and other forums has been restricted for reasons unknown, so please forgive my lack of direct support for answers offered by other contributors and critical assessment of non-contributors who are misleading and/or abusive.

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Note added at 8 hrs 38 mins (2004-11-26 00:16:28 GMT)
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With regard to the behavior of the function, its value can be monotonically decreasing with regard to a single variable or with regard to all variables. Alternatively, c(m,n) may not even be the functional value in question, as the value of c which is defined by m and n, may be a variable to another function whose value is monotonically decreasing. By way of example, g = f(c(m,n)) where m and n determine the value of c, and c determines the value of g via the function f(c).

In effect, Richard Benham\'s remark with regard to the function\'s further particulars is tangential to the translation in question.

 Roddy StegemannUnited StatesLocal time: 18:07Native speaker of: EnglishPRO pts in category: 4

neutral  Richard Benham: What you say is true, but it is more natural to use an adverb, because the function decreases in a monotonic way. My answer has some Google counts for the various options. Not that I think Google counts alone say much.
 34 mins
-> What is natural to a grammarian and what is natural to a native speaker are often at odds. The former looks for and prescribes descriptive rules, the latter uses the language to achieve effective communication. Google comes down on both sides.

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