maximum unity

English translation: the y-axis has been scaled so that the maximum y-value is one

08:17 Jun 21, 2017
English language (monolingual) [PRO]
Mathematics & Statistics
English term or phrase: maximum unity
The Y-axis in the figure gives the probability density function of the particle flux with respect to energy normalized to a maximum unity.


If you want to see the figure stated in the above sentence, click the link below:
https://www.dropbox.com/s/r0m9gxo747p2o2k/proz.jpg?dl=0
Masoud Kakouli Varnousfaderani
Türkiye
Local time: 22:20
Selected answer:the y-axis has been scaled so that the maximum y-value is one
Explanation:
The area under a probability density curve is, by definition, 1 (unity), so that the maximum value is typically less than 1. In the case here, the y-axis has been scaled so that the maximum y-value of the curve is 1. Strictly speaking, it isn't probability density any more.

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Note added at 24 mins (2017-06-21 08:42:07 GMT)
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One can recover the actual probability density from the 'normalised' curve by dividing the normalised y-value everywhere by the area under the 'normalised' curve.
Selected response from:

Piyush Ojha
United Kingdom
Local time: 20:20
Grading comment
4 KudoZ points were awarded for this answer



SUMMARY OF ALL EXPLANATIONS PROVIDED
5 +4the y-axis has been scaled so that the maximum y-value is one
Piyush Ojha


Discussion entries: 11





  

Answers


22 mins   confidence: Answerer confidence 5/5 peer agreement (net): +4
the y-axis has been scaled so that the maximum y-value is one


Explanation:
The area under a probability density curve is, by definition, 1 (unity), so that the maximum value is typically less than 1. In the case here, the y-axis has been scaled so that the maximum y-value of the curve is 1. Strictly speaking, it isn't probability density any more.

--------------------------------------------------
Note added at 24 mins (2017-06-21 08:42:07 GMT)
--------------------------------------------------

One can recover the actual probability density from the 'normalised' curve by dividing the normalised y-value everywhere by the area under the 'normalised' curve.

Piyush Ojha
United Kingdom
Local time: 20:20
Native speaker of: Native in EnglishEnglish, Native in HindiHindi
PRO pts in category: 4

Peer comments on this answer (and responses from the answerer)
agree  Henk Sanderson
19 mins
  -> Thank you.

agree  Yasutomo Kanazawa
2 hrs
  -> Many thanks.

agree  Daryo
10 hrs
  -> Thanks, Daryo.

agree  Tony M
12 hrs
  -> Thank you, Tony.
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