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German: gebrochen linear

English translation: piecewise linear







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GLOSSARY ENTRY (DERIVED FROM QUESTION BELOW)
German term or phrase:gebrochen linear
English translation:piecewise linear
Entered by:Ted Wozniak
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2:11am Jan 7, 2005Login or register (free) for more options.
German to English translations [PRO]
Science - Mathematics & Statistics
German term or phrase: gebrochen linear
From an economics treatise on currency options (but I just need someone who know the math term :-)

"Dabei bezeichnet max(·,·) die Maximumfunktion, deren Wert dem Wert des größeren ihrer beiden Argumente entspricht. Der Ausübungsgewinn einer Devisenkaufoption ist also **gebrochen linear** und niemals negativ"

So what is this called in English? a fractional line? A linear fractional?
Ted Wozniak
United States
piecewise linear (in this context)
Explanation:
From the reference cited by Johanna and other googling, it appears that 'fractional linear' is the 'proper' translation of 'gebrochen linear', but I don't think that is what is meant here, since 'fractional linear' refers to a function or transformation expressed as the ratio of two linear functions. From the description in the text, it appears that the function in question is a piecewise linear function, which is a a function that is everywhere linear but discontinuous in one or more of its derivatives (in plain language, it consists of a series of linear segments with abrupt changes in value and/or slope). Perhaps 'gebrochen linear' is used in both senses in Germany, or maybe the author just used the wrong term.

Sample ref:
Piecewise Linear Functions
... Piecewise Linear Functions. ... Note that this piecewise linear function is continuous and it is in fact a function because it passes the vertical line test. ...
jwilson.coe.uga.edu/EMT668/EMAT6680.Folders/ Barron/unit/Lesson%204/4.html
Selected response from:

Ken Cox
Netherlands
Note from asker to answerer
Thank you for your help
4 KudoZ points were awarded for this answer



Summary of answers provided
3 +2piecewise linear (in this context)Ken Cox
4 -1broken linear
Leonid Gornik
4 -1fractional linear
Johanna Timm, PhD


  

Answers

1 hr   confidence: Answerer confidence 4/5Answerer confidence 4/5 peer agreement (net): -1
fractional linear

Explanation:

http://www.uni-bonn.de/~manfear/mathdict.php?fromLang=de&toL...

Johanna Timm, PhD
Canada
Native speaker of: Native in GermanGerman
PRO pts in category: 12

Peer comments on this answer (and responses from the answerer)
disagree Gabrielle Lyons: misleading in this context - means something different, as Kenneth says
17 hrs
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1 hr   confidence: Answerer confidence 4/5Answerer confidence 4/5 peer agreement (net): -1
broken linear

Explanation:
see the reference


    www.edpsciences.org/articles/ epjc/abs/1999/22/epjc0192/epjc0192.html
Leonid Gornik
United States
Native speaker of: Native in RussianRussian

Peer comments on this answer (and responses from the answerer)
disagree Gabrielle Lyons: not usually a mathematical term
17 hrs
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6 hrs   confidence: Answerer confidence 3/5Answerer confidence 3/5 peer agreement (net): +2
piecewise linear (in this context)

Explanation:
From the reference cited by Johanna and other googling, it appears that 'fractional linear' is the 'proper' translation of 'gebrochen linear', but I don't think that is what is meant here, since 'fractional linear' refers to a function or transformation expressed as the ratio of two linear functions. From the description in the text, it appears that the function in question is a piecewise linear function, which is a a function that is everywhere linear but discontinuous in one or more of its derivatives (in plain language, it consists of a series of linear segments with abrupt changes in value and/or slope). Perhaps 'gebrochen linear' is used in both senses in Germany, or maybe the author just used the wrong term.

Sample ref:
Piecewise Linear Functions
... Piecewise Linear Functions. ... Note that this piecewise linear function is continuous and it is in fact a function because it passes the vertical line test. ...
jwilson.coe.uga.edu/EMT668/EMAT6680.Folders/ Barron/unit/Lesson%204/4.html

Ken Cox
Netherlands
Native speaker of: Native in EnglishEnglish
PRO pts in category: 40
Note from asker to answerer
Thank you for your help

Peer comments on this answer (and responses from the answerer)
agree Oliver Walter: From a maths dico: "Piecewise: Behaving in a certain manner ... except for finitely many points"
4 hrs

agree Gabrielle Lyons: my tame mathmo agrees
12 hrs
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