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This question was closed without grading. Reason: Other
Jul 1, 2020 21:39
3 yrs ago
36 viewers *
German term

quadratisch gegen einen Wert streben

German to English Tech/Engineering Automation & Robotics conveyor belts / servo motors / automation
Context:
Aufgrund der konstanten Beschleunigung a0 des Antriebs steigt die Geschwindigkeit linear bis zu ihrem Sollwert v0 an und bleibt dann zunächst konstant. Die Sollposition s des Antriebs steigt daher zunächst quadratisch an, im Bereich konstanter Geschwindigkeit dann nur noch linear. Nach Einsetzen des Bremsvorgangs (Beschleunigung -a0) fällt die Geschwindigkeit linear auf 0 und die Sollposition **strebt quadratisch gegen** ihren Endwert s0.

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To my knowledge, 'streben' in contexts like this is normally 'tends towards' a value. (e.g. strebt gegen Null/Unendlich). What does it mean here, and how do I deal with 'quadratisch'?
Something can increase or decrease quadratically, but can it tend quadratically towards...?

Maybe a poor choice of words by the author?

Anyone?

Thanks.
Proposed translations (English)
4 +1 converges on its final position S0 at a quadratic rate
3 +1 gravitate / edge in non-linear least squares towards an end-value
4 tends quadratically towards
References
Quadratic convergence
Votes to reclassify question as PRO/non-PRO:

Non-PRO (1): TechLawDC

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Discussion

Chris Pr Jul 9, 2020:
The bilingual mathematician, available for instant consultations at midnight (UK time), will not be pleased at all with your decision, Cilian.
Expect a stiff letter of complaint to appear in The Times any day soon...
Cilian O'Tuama (asker) Jul 8, 2020:
Thanks to everyone for contributing. But I just wanna get outa here. Too caustic.
Klaus Beyer Jul 2, 2020:
quadratisch I know 'quadratisch' only is 'squared'

....moves squared toward its ultimate/final value

i.e. at squared speed
Lancashireman Jul 2, 2020:
Deleted entries (for the record) Peer: Chris Pr - http://www.proz.com/profile/1433413
Opinion: neutral
Comment: Asked a mathematician and then came up with a mere synonym....

Entry from: Chris Pr
Regarding term: quadratisch gegen einen Wert streben Language pair: German to English
URL: http://www.proz.com/kudoz/6839492
Entry: See what I mean now by \'compact\'...?
...and \'converge\' is a total crock of nothingness related to maths or engineering...

Peer: Chris Pr - http://www.proz.com/profile/1433413
Opinion: neutral
Comment: Asked a mathematician and then came up with a mere synonym....and a poor one at that...

Entry from: Chris Pr
Regarding term: quadratisch gegen einen Wert streben Language pair: German to English
URL: http://www.proz.com/kudoz/6839492
Entry: For historical reasons, Cilian...
...that only a few might be aware of...
Cilian O'Tuama (asker) Jul 2, 2020:
C'mon Chris Take a deep breath. We're only brainstorming.

Proposed translations

+1
1 hr
German term (edited): strebt quadratisch gegen ihren Endwert s0.

converges on its final position S0 at a quadratic rate

I asked a mathematician, Cilian. Sometimes, you have to go beyond the talent pool on Kudoz.
Note from asker:
Many thanks Mr L, 'quadratic convergence' is actually an alternative I'm juggling with.
Peer comment(s):
agree Bernhard Sulzer : or "converges quadratically" see my reference
57 mins
Something went wrong...
+1
2 hrs
German term (edited): quadratisch gegen einen Endwert streben

gravitate / edge in non-linear least squares towards an end-value

I doubt this is anything to do with square roots or 'quadratic equations' from my school days last millennium, rather a parallel with linear / straight-line vs. reducing or declining balance 'squared' depreciation in accounting.

FWIW, I - having read works by a cousin once teaching at the technische Universität in Vienna - can't see anything wrong with the German, but maybe someone else can.
Example sentence:

ncremental Block Cholesky Factorization for Nonlinear Least Squares in Robotics

Reference:

http://eng.proz.com/personal-glossaries/entry/2717023-kleinstquadratmethode-method-of-least-squares

http://www.roboticsproceedings.org/rss09/p42.pdf

Note from asker:
Hi Spaceman! :-) Yeah, 'sprachlich' the German appears fine, but 'inhaltlich'?
Peer comment(s):
agree Bernhard Sulzer : non-linear, gradual could also work, although I find nothing wrong with quadratic See my refs. "Ungleichmäßig" is also used in German; maybe moves /converges instead of gravitates, but I'll leave that up to others. / Cheers.
2 hrs
Danke and thanks, Bernhard. Until Lancashireman's clever 'quadratic convergence', I had cogitated over moving and, to past ProZ Scan/Eng protests of Brit. Imperial inches & feet measurements, 'inching towards...'..
Something went wrong...
14 hrs

tends quadratically towards

it's a standard mathematical phrase, just like "tends asymptotically to" (Calculus)
it moves towards that point in the fashion of a quadratic function (x to the power of 2).

I don't think there's much need to overthink this one. It appears like this in dozens of books, just see Google Books for instance.

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Note added at 1 day 8 hrs (2020-07-03 06:35:19 GMT)
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A Google search on my computer got 368.000 results. "Dozens" were just the books listed on the first results page, which include this exact phrase.
See for instance: Foundations of Computational Mathematics (Minneapolis, 2002) - page 122. Or Geometric Computations with Interval and New Robust Methods - page 50.

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Note added at 1 day 9 hrs (2020-07-03 06:53:01 GMT)
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Additional references: https://math.stackexchange.com/search?q=tend towards to

https://math.stackexchange.com/questions/1735193/in-practice...

So basically, they converge or tend (if a function has limits, it tends to the limits; else it converges)...

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Note added at 1 day 9 hrs (2020-07-03 07:03:11 GMT)
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http://sepwww.stanford.edu/public/docs/sep97/paul1/paper_htm...

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Note added at 1 day 16 hrs (2020-07-03 14:33:59 GMT)
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I typed "tends quadratically to". I admit I only looked at the first page. There I get a list of 6 books (GoogleBooks) that contain this exact phrase - they all deal with advanced mathematics of some kind. The remaining hits are probably due to the "tends to", which is quite common, so you are right, they are not relevant. I wish I could send you a screenshot. (It doesn't mean that my answer is correct, of course. My husband is an automotive engineer and he likes Lancashireman's answer best.)

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Note added at 1 day 17 hrs (2020-07-03 15:13:40 GMT)
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See also: http://www.netlib.org/utk/people/JackDongarra/PAPERS/Improvi...
https://agupubs.onlinelibrary.wiley.com/doi/full/10.1029/200...
https://arxiv.org/pdf/1704.06106.pdf (page 10)
https://core.ac.uk/download/pdf/25212689.pdf

Again, not sure if these apply to your specialism, but I have now double-checked and there are at least 4-5 results pages in Google for the phrase "tends quadratically to" (not towards!)
Reference:

http://https://books.google.de/books?id=3MQFkk12PBcC&pg=PA155&lpg=PA155&dq=tends+quadratically+to&source=bl&ots=VXK_5gQpJU&sig=ACfU3U0wdjWTR

http://https://books.google.de/books?id=VLWkAgAAQBAJ&pg=PA50&lpg=PA50&dq=tends+quadratically+to&source=bl&ots=wNw8zJ5yDx&sig=ACfU3U3urAasnd0

Note from asker:
Thanks Andreea. Your links don't appear to work."Dozens" isn't exactly a lot. Besides, I get only one single hit for the exact phrase, hence my doubts.
What EXACT term yielded 368,000 hits? It can't have been "tends quadratically towards" - as I say, that only gets 1-2 hits. Hardly convincing.
Peer comment(s):
neutral Chris Pr : Same answer as previously entered, albeit with a synonym swap....//Haha, well this is not economics, as we can see,,,and the 'Sollposition' is definitely not a function.... :))
11 hrs
I studied Economics, and we never talked about functions gravitating or approaching. The standard phrase was "tend towards". Series converge; functions tend towards. If I remember correctly ;-)
Something went wrong...

Reference comments

2 hrs
Reference:

Quadratic convergence

https://bookdown.org/rdpeng/advstatcomp/rates-of-convergence...

Quadratic Convergence

Quadratic convergence is the fastest form of convergence that we will discuss here and is generally considered desirable if possible to achieve. We say the sequence converges at a quadratic rate if there exists some constant 0

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Note added at 2 hrs (2020-07-02 00:29:18 GMT)
--------------------------------------------------

... Extending the examples from above, the sequence xn=1+(1n)2n converges quadratically to 1. ....

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Note added at 4 hrs (2020-07-02 01:48:15 GMT)
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ungleichmäßige versus lineare Beschleunigung:
https://studyflix.de/ingenieurwissenschaften/beschleunigung-...

gradual (quadratic) acceleration:
https://www.vexforum.com/t/gradual-quadratic-acceleration/22...

non-linear (quadratic) function:
https://ui.adsabs.harvard.edu/abs/2016EGUGA..1816816B/abstra...

It is clear that not all GNSS position time series follow this simple linear behaviour. Therefore, we have added an acceleration term in the form of a quadratic polynomial function to the model in order to better describe the non-linear motion in the position time series.
Peer comments on this reference comment:
disagree Chris Pr : The topic in question has nothing to do with "Advanced Statistical Computing"...//No complaint was made, just a statement of fact...
15 mins
It has to to with "quadratischer" and "linearer Entwicklung." Those terms happen to be used in many areas. Not sure what you're complaining about. // OK. :)
agree Adrian MM.
9 hrs
agree Lancashireman
13 hrs
agree Andreea Sepi, MCIL (X) : I agree with "converge quadratically"
1 day 6 hrs
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