Aug 5, 2010 20:56
13 yrs ago
1 viewer *
Polish term

Baza funkcji

Polish to English Tech/Engineering Mathematics & Statistics Signal analysis
Dzięki skalowaniu otrzymano bazy funkcji falkowych, które w przeciwieństwie do ujętych w normie przekształceń są dobrze zlokalizowane w dziedzinie częstości i czasu.
Change log

Aug 5, 2010 21:12: M.A.B. changed "Field (specific)" from "Engineering (general)" to "Mathematics & Statistics"

Discussion

M.A.B. Aug 5, 2010:
Function base Teresa, the link you give relates to a different type of "baza", i.e. one for a topological space, which in English is indeed base. In Polish however one uses baza for many mathematical notions, which in English may be base or basis. Compare http://pl.wikipedia.org/wiki/Baza_(topologia) , http://pl.wikipedia.org/wiki/Baza_Schaudera and their English counterparts.
The baza we are talking about here is of the Schauder type, hence it's a basis. An example for wavelets is the Haar basis.

Proposed translations

15 mins
Polish term (edited): baza funkcji falkowych
Selected

basis of wavelet functions

Gugl zwraca naukowe, a więc (mnie) przekonujące linki.

ψ is the orthonormal basis of wavelet functions, we can rewrite 4.3 mn kl lk mn kl nm. Iqp. S. ,. ,. ∑∑. = ,. (4.5). (. )H. L mn kl. T. T. T. T mn kl ...

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Note added at   2 godz. (2010-08-05 23:03:31 GMT)
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Przykładowe basis w kontekście falek:
Yale http://www.math.yale.edu/pub/wavelets/software/xwpl/html/man...
MIT http://web.media.mit.edu/~rehmi/wavelet/node3.html
Example sentence:

The discrete continuous wavelet transform (CWT) is a time–frequency decomposition that uses a basis of wavelet functions localized in both time and ...

Signal approximation in the basis of wavelet functions has been widely used for filtration of noisy signals and images in the last decade [1–3]. ...

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4 KudoZ points awarded for this answer.
1 hr

function base

EXPONENTIAL FUNCTION BASE

http://www.tutorvista.com/topic/exponential-function-base-e

WAVELET FUNCTION BASE

http://www.google.ie/search?q="wavelet function base"&ie=utf...

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Note added at 2 hrs (2010-08-05 22:57:41 GMT)
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To M.A.B.: FUNCTION BASE
http://www.ams.org/journals/proc/1988-104-02/S0002-9939-1988...
Peer comment(s):

neutral M.A.B. : Nie bardzo, baza w tym znaczeniu to basis, tylko nienatywni dają base, por. http://www.google.pl/search?q="base+of+wavelet+functions"
35 mins
I understand the American Mathematical Society would not satisfy your requirements for being native. Link above (and "no comments" on the expectations)
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13 hrs

wavelet (basis function)

As my confidence level indicates, I'm not entirely sure whether you need the "bazy funkcji" here. I would, therefore, opt for "wavelet" on its own, or "wavelet basis function" in that order.

The order of these three words is very important as a "BASIS of wavelet functions" implies the rules or reasons that wavelet functions exist, while "wavelet function BASE" implies it has something to do with Logs in mathematics... Hope this makes sense!
Example sentence:

In formal terms, this representation is a wavelet series representation of a square-integrable function with respect to either a complete, orthonormal set of basis functions, or an overcomplete set or Frame of a vector space, for the Hilbert space of squa

More technically, a wavelet is a mathematical function used to divide a given function or continuous-time signal into different scale components.

Peer comment(s):

neutral M.A.B. : The Polish statement is clear: a basis for wavelet functions was obtained. Wavelet basis function is "funkcja bazowa falek"
1 hr
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