изменяться по закону квадратной параболы

English translation: see explanation

10:17 Nov 5, 2010
Russian to English translations [PRO]
Science - Mathematics & Statistics / scientific writing
Russian term or phrase: изменяться по закону квадратной параболы
Поперечные перемещения изменяются по толщине балки по закону квадратной параболы.
Nik-On/Off
Ukraine
Local time: 23:02
English translation:see explanation
Explanation:
Вариант 1 - если об изменении перемещения (без указания его характера) упомянуто выше по тексту:
"The variation of transverse displacement with beam thickness follows a square law"

Вариант 2 или 3 - если не упомянуто:
"The transverse displacement varies with beam thickness according to a square law."
"The transverse displacement varies as a square of beam thickness."

Во всех случаях displacement в ед. числе, т.к. это одна и та же переменная величина - функция толщины

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Note added at 6 час (2010-11-05 17:07:39 GMT)
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Вариант 3:
"... as the square of ..."
конечно!
Поспешил при копировании, виноват

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Note added at 8 час (2010-11-05 18:35:15 GMT)
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Вариант 4 - кратчайший и, пожалуй, наилучший:
"The transverse displacement varies as the beam thickness squared"
Selected response from:

Andrei B
Local time: 00:02
Grading comment
"varies as the thickness squared" has won.
Thank you all so much!
4 KudoZ points were awarded for this answer



Summary of answers provided
4 +1vary quadratically
Anton Konashenok
4 +1varies according to the square of the thickness
David Knowles
5 -1see explanation
Andrei B
2to change in accordance with the square parabola law
Igor_2006


Discussion entries: 19





  

Answers


6 mins   confidence: Answerer confidence 4/5Answerer confidence 4/5 peer agreement (net): +1
vary quadratically


Explanation:
слово "парабола" здесь даже в русском языке лишнее: график квадратичной зависимости всегда является параболой

Anton Konashenok
Czech Republic
Local time: 22:02
Native speaker of: Native in RussianRussian, Native in EnglishEnglish

Peer comments on this answer (and responses from the answerer)
agree  seadeer (X): I would say, (the amount of) lateral displacement varies quadratically with thickness of the beam. I think this is an uncluttered and understandable way of saying it.
8 hrs
  -> Thanks!
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9 mins   confidence: Answerer confidence 2/5Answerer confidence 2/5
to change in accordance with the square parabola law


Explanation:
... of the shaped section of the top roll changes in accordance with the square parabola law, while the bottom roll is...
https://docs.google.com/viewer?url=http://www.springerlink.c...

Несколько смущает, что этот вариант встречается только в работе, переведенной с русского языка. Но зато интересным выглядит дословное совпадение ("закон квадратичной параболы" - нечастый оборот)

Igor_2006
Russian Federation
Local time: 00:02
Specializes in field
Native speaker of: Russian
PRO pts in category: 4
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1 hr   confidence: Answerer confidence 4/5Answerer confidence 4/5 peer agreement (net): +1
varies according to the square of the thickness


Explanation:
We do not say "quadratically" or "according to the parabola law" in English. It's simply "according to the square".

(ref)Hooke conjectures that gravitational forces might decrease according to the square of the distance between the two bodies


    Reference: http://en.wikipedia.org/wiki/Mass
David Knowles
Local time: 21:02
Works in field
Native speaker of: Native in EnglishEnglish
PRO pts in category: 31

Peer comments on this answer (and responses from the answerer)
agree  rns
3 hrs
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3 hrs   confidence: Answerer confidence 5/5 peer agreement (net): -1
see explanation


Explanation:
Вариант 1 - если об изменении перемещения (без указания его характера) упомянуто выше по тексту:
"The variation of transverse displacement with beam thickness follows a square law"

Вариант 2 или 3 - если не упомянуто:
"The transverse displacement varies with beam thickness according to a square law."
"The transverse displacement varies as a square of beam thickness."

Во всех случаях displacement в ед. числе, т.к. это одна и та же переменная величина - функция толщины

--------------------------------------------------
Note added at 6 час (2010-11-05 17:07:39 GMT)
--------------------------------------------------

Вариант 3:
"... as the square of ..."
конечно!
Поспешил при копировании, виноват

--------------------------------------------------
Note added at 8 час (2010-11-05 18:35:15 GMT)
--------------------------------------------------

Вариант 4 - кратчайший и, пожалуй, наилучший:
"The transverse displacement varies as the beam thickness squared"

Andrei B
Local time: 00:02
Specializes in field
Native speaker of: Native in RussianRussian
PRO pts in category: 20
Grading comment
"varies as the thickness squared" has won.
Thank you all so much!

Peer comments on this answer (and responses from the answerer)
disagree  rns: "square law" is "the", not "a" — http://www.themathpage.com/alg/variation.htm#square
1 hr
  -> Both 2x^2 and 3x^2 are square laws; either is a square law. Google "according" and "follows" to get >35000 and >4000 hits, respectively// You've failed a test on the math language and a fair play test. Never trust anyone who denies fair play
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