Glossary entry

French term or phrase:

effectuer l\'intégrale normalisée

English translation:

normalise the integral

Added to glossary by Expialidocio (X)
Sep 11, 2009 10:41
14 yrs ago
French term

effectuer l'intégrale

French to English Tech/Engineering Mathematics & Statistics
From a manual for a medical imaging calibration device and its accompanying software:

Une interprétation sur l’ensemble du domaine consiste à effectuer l’intégrale normalisée de cette fonction sur tout l’espace de définition.

("Cette fonction" = a mathematical function.)

Discussion

chris collister Sep 11, 2009:
gamma function I assume your "gamma" is a greek symbol, either lower or upper case. In that event, it probably represents the incomplete gamma function, which has 2 arguments, as opposed to the gamma function, which has only one. "Min" is what it says, ie the minimum value, while your upside down A means "for every..."<br>See http://en.wikipedia.org/wiki/Gamma_function<br>and http://en.wikipedia.org/wiki/Incomplete_gamma_function<br...
On the other hand, depending on the mathematical context, gamma may be some function already defined in the text. After all, there are only so many symbols to go round! Good luck!
Expialidocio (X) (asker) Sep 11, 2009:
A sample formula, as requested by A.P. my text continues with:

On a donc: y(rm) = min{gamma(rm, rc)}A{rc}

Please note: the "A" is upside-down, and the m's and c's are in subscript.
chris collister Sep 11, 2009:
normalised integral Normalisation means that, between the specified limits of integration (of which there are always two), the result is equal to, or less than 1, and is generally dimensionless. "Normed" is not usually applied to integrals, although it does appear in other mathematical contexts. Use of the word "integral" is often quite ambiguous and can informally refer both to the integral before integration, AND to the value of the integral after integration. Strictly speaking, the expression under the integral sign is the integrand, but abuse of language is widespread, even among mathematicians.
Attila Piróth Sep 11, 2009:
More context/formulas, please The word "normalisée" would need some specification. My problem is this: "intégrale normalisée" is "normalized integral"; very often the normalization factor is the value of the integral over the entire integration domain -- in which case "the normalized integral over the entire domain of definition" is simply 1 (in which case evaluating/calculating/computing the normalized integral is just perfectly evident: the value follows from the definition, so nothing needs to be computed), whereas the normalized integral over a more restricted domain is different (in certain cases, it can be anywhere between 0 and 1, depending on how you choose that domain). Some specific mathematical formulas could shed light on this.

Proposed translations

4 hrs
Selected

normalising the integral over the entire space defined

..rather than from 0 - infinity
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4 KudoZ points awarded for this answer. Comment: "Thanks very much!"
-1
1 hr

performing the normed integral

"Normed integral" is a term in higher mathematics.
Peer comment(s):

disagree Attila Piróth : It is normalized, not normed.
11 mins
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1 min

integrating

integrating the function over a range

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Note added at 1 hr (2009-09-11 11:57:22 GMT)
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normalized integration of the function...

NOTE: I know that there is such a thing as normalized integration. 30 years ago, I could have explained what it means :)

It's mentioned here: http://www.iop.org/EJ/article/1538-3881/126/5/2567/203195.te...
Note from asker:
Thanks for your suggestion, but how would you work "normalisée" in in this case?
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1 hr

evaluate the normalised integral

see discussion above
Note from asker:
Thanks very much for your helpful explanations. I went with DL's wording, but your comments helped me get a better grip on things. Wish I could have split the points!
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