Glossary entry

Spanish term or phrase:

Operando...matricial

English translation:

Performing the operation we get an matrix (type) autonomous ordinary differential equation.

Added to glossary by Lisa Roberts
Sep 24, 2008 13:24
15 yrs ago
2 viewers *
Spanish term

Operando...matricial

Spanish to English Science Photography/Imaging (& Graphic Arts) Medical Images
The full sentence appears below:

Title: Formulación semidiscreta

Es conocido que problemas no correctamente planteados en el caso continuo, sí pueden ser estudiados con cierto éxito en el caso semidiscreto y discreto. En este sentido, se plantea una discretización espacial de la ecuación unidimensional con la función de difusión uniparamétrica propuesta.

Para ello se utiliza una aproximación en diferencias finitas centrada con una distancia media entre píxeles.

A partir de aquí, resulta un sistema de ecuaciones diferenciales ordinarias autónomo. **Operando se llega a una expresión diferencial ordinaria autónoma matricial del tipo**. La generalización a más dimensiones es directa.


The section of the sentence 'expresión diferencial ordinaria autonoma' I have no problem with, but I am struggling to incorporate 'matricial' and am somewhat thrown by 'operando' at the beginning.

Any suggestions most welcome, thank you.

Discussion

Lisa Roberts (asker) Sep 24, 2008:
Hi, I have translated part of the sentence as follows: matrix ordinary differential expression. Now I need to fit 'autonomous' in as Liz quite rightly pointed out and 'operando se llega a' doesn't make a great deal of sense either. Thanks again!
S Ben Price Sep 24, 2008:
Could you provide the part you have already translated minus the bit you want help with? (or with your best take on it) That could be helpful.

Proposed translations

1 hr
Selected

Performing the operation we get an dot-matrix (type) autonomous ordinary differential equation.

Unfortunately, there is no zero confidence level. I am sure this is wrong, but I thougt it might help lead to something that is less wrong.

"autonomous differential equation" - 12K hits
http://www.google.com/search?rlz=1T4GGIH_enES213ES214&q="aut...

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Note added at 1 hr (2008-09-24 14:41:01 GMT)
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From the RAE for operar:
8. intr. Realizar operaciones matemáticas.
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3 KudoZ points awarded for this answer. Comment: "Many thanks to you all - this was a tricky one and this answer was the closest to what I thought might be acceptable!"
37 mins

Through operation.... matrix

A matrix differential expression LN(t, x, ô¿, ô¿) with elements LN¿1 (t, x, ô¿, O¿), {j, l} C { 1,. . . , N}, is called parabolic in the sense of Petrovsky ...
http://books.google.com/books?id=I8f0LS3Mb9cC&pg=PA2&lpg=PA2...

A matrix differential expression P = ADC + B is nonsingular if AC is nonsingular . ... Every nonsingular matrix differential expression is equivalent under a ...
http://links.jstor.org/sici?sici=0002-9947(196506)118<390:OT...

... using the third right-hand side form of the integration by parts formula (29 ), together with the second form of the matrix differential expression (21). ...
http://links.jstor.org/sici?sici=0036-1445(197304)15:2<352:M...

The adjoint operator £*ßS is given by the matrix differential expression of Eq. (17.16) on the domain obtained from Eq. (17.17) by replacing the parameters ...
http://books.google.com/books?id=f6InYkycHJQC&pg=PT264&lpg=P...

My 2 cents...
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1 hr

On performing the operation an ordinary autonomous differential expression of the matrix is acheived

Just a shot in the dark.
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Reference comments

52 mins
Reference:

My Oxford Spanish English translates "matricial" ONLY as "dot-matrix", not as an adjective form of "matrix". Since you are talking about pixels and printing here, it makes sense.

But, only 60 google hits for the exact term "dot matrix algorithm" -

"The first algorithm to use the matrix approach was the Dot Matrix algorithm described by Gibbs and McIntyre (1970) which is incorporated herein and is found as Gibbs & McIntyre, 1970 Gibbs, A. J. & McIntyre, G. A. (1970). The Diagram Method for Comparing Sequences. "

Here is wiki for dot matrix - http://en.wikipedia.org/wiki/Dot_matrix_printer
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12 mins
Reference:

Nicoletta Del Buono (Bari): Numerical techniques for approximating the solution of matrix ordinary differential equations on the general linear group.

This talk concerns the numerical solution of matrix differential systems evolving on the general linear group GL(n,R) which come up frequently in the context of control and system theory, as well as in multivariate data analysis and inverse eigenvalue problems. The presence in the differential equation of the inverse of the solution and the topological structure of general linear group make the numerical solution of this ODE somewhat worrisome. In this talk we will suggest some techniques to approximate the solution of this kind of equation. Particularly, we show how the numerical solution is strictly connected with a general Riccati algebraic equation; we also suggest the use of a continuous singular value decomposition to detect when the numerical solution is approaching a singular matrix.

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Note added at 14 mins (2008-09-24 13:39:12 GMT)
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#
pedia.org/wiki/Matrix_exponential - 52k - Cached - Similar pages
#
Matrix ordinary differential equation - Wikipedia, the free ...
7 Sep 2008 ... The following section is going to be discussing one particular kind of ODEs, which is called matrix ordinary differential equations. ...
en.wikipedia.org/wiki/Matrix_ordinary_differential_equation - 19k - Cached - Similar pages
More results from en.wikipedia.org »

I have found one with "matrix", but now it is "where do you put the autonomous bit" :-)

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Note added at 58 mins (2008-09-24 14:22:54 GMT)
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I have also found "...of the type"...which is at the end of your sentence..

An autopilot device and method for cancelling dynamic operating ...
A method according to Claim 7, characterised in that the said model is described by a system of differential equations of the type: EMI22.1 where: Y(t) is a ...
www.freepatentsonline.com/EP0872785.html - Similar pages
by S Crupi - 1998 - Related articles - All 3 versions

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Note added at 1 hr (2008-09-24 14:26:16 GMT)
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I think I am on the right track with "matrix"..

Magnus and Fer expansions for matrix differential equations: the ...
Approximate solutions of matrix linear differential equations by matrix exponentials are considered. In particular, the convergence issue of Magnus and Fer ...
www.iop.org/EJ/abstract/0305-4470/31/1/023 - Similar pages
by S Blanes - 1998 - Cited by 58 - Related articles - All 5 versions

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Note added at 1 hr (2008-09-24 14:28:09 GMT)
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It could be

automonous oridnary differential equations based on the use of matrix exponentials

#
www.ma.hw.ac.uk/~simonm/conf/ - 25k - Cached - Similar pages
#
[math/9904122] Methods for the approximation of the matrix ...
Discretization methods for ordinary differential equations based on the use of matrix exponentials have been known for decades. This set of ideas has come ...
arxiv.org/abs/math.NA/9904122 - 4k - Cached - Similar pages
by E Celledoni - 1999 - Cited by 58 - Related articles - All 24 versions

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Note added at 1 hr (2008-09-24 14:30:39 GMT)
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Hey

Perhaps there should be a comma after "autónomo", see:

PDF]
MECANICA II
File Format: PDF/Adobe Acrobat - View as HTML
vez, se une a otro hilo flexible, inextensible y de masa despreciable, ... De estas dos últimas ecuaciones, operando, se llega a la segunda de las ...
www.tecnun.es/asignaturas/Mecanica2/ejercicios/PEQ-abril200... - Similar pages

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Note added at 1 hr (2008-09-24 14:32:14 GMT)
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OR

a colon:

# [DOC]
ECUACIONES POLINÓMICAS EN UNA VARIABLE
File Format: Microsoft Word - View as HTML
Reemplazando en la ecuación original y operando, se obtiene: ... A veces no es necesario llegar a la expresión igualada a cero (expresión general), ...
bo.unsa.edu.ar/dnat/nivelacion/Mat_Anexo_Ing.doc - Similar pages
by E Polinómicas - Related articles - All 2 versions
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Actividades
- [ Translate this page ]
Ecuación resultante:. Operando se llega a:. ¿Qué significa esto? Al restar del número x de personas que había en la sala, el número de las que salen, ...
thales.cica.es/rd/Recursos/rd97/Problemas/23-2-p-actividades.html - 17k - Cached - Similar pages

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Note added at 1 hr (2008-09-24 14:33:30 GMT)
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"operando" seems to be a special mathematical term

[PDF]
Desarrollo de un sistema integrado para tratamiento de geometrıa ...
File Format: PDF/Adobe Acrobat
Cuando se llega a una situacion de este tipo, se puede proceder de dos maneras, ...... Mediante interpolacion lineal a trozos y operando se obtiene el ...
ftp://ftp.compassis.com/pub/ramsan/master2.pdf - Similar pages
by RR Rodrıguez - Related articles

Now, can I find the English??

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Note added at 1 hr (2008-09-24 14:48:59 GMT)
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look at the use of operando

http://216.239.59.104/search?q=cache:9I6j65JD0WYJ:es.wikiped...

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Note added at 1 hr (2008-09-24 14:50:11 GMT)
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Hi

I think "operando" just means "working it out thus"

[PDF]
Operando spectroscopy: new methodology or new name?
File Format: PDF/Adobe Acrobat - View as HTML
reaction pathway and thus increasing the reaction rate. ... Operando is borrowed from Latin,. which means "working" or "operating" since the spectra are of ...
www.annales.umcs.lublin.pl/AA/2005/10.pdf - Similar pages
by J Ryczkowski - Related articles



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Note added at 1 hr (2008-09-24 14:51:21 GMT)
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BTW

I am pretty hopeless at maths/algebra

so I hope you are able to piece this together somehow :-)

It is a case of "I understand the words, but not the meaning" :-)
Note from asker:
Thanks for all you help, Liz! Will mull it all over in a few hours when my brain's not quite so frazzled ;)
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