Translation of statement in french.
$begingroup$
Since non-mathematicians might miss some subtleties I ask for a translation of the following statement,
"Soit $Y$ un processus positif, optionnel, et de la classe $(D)$, s.c.i à droite.
Nous définissons par récurrence $I^{n}=R(I^{n-1})$ et $I^{0}=Y$.
La suite $I^{n}$ est un suite croissante de processus optionels, s.c.i. Sa limite, notée I, est l'enveloppe de Snell du processus $Y$ par rapport à la chronologie $tau$ de l'ensemble des t.a etages rationnelles.
Le caractère s.c.i de $Y$ permet d'identifier le processus $I$ a l'envelope de Snell optionnelle de $Y$. $J$, qui est alors un processus continu à droite"
Merci!
translation-request
asked Dec 1 '18 at 14:42
MaxedMaxed
1961527
$endgroup$
|
show 6 more comments
$begingroup$
Since non-mathematicians might miss some subtleties I ask for a translation of the following statement,
"Soit $Y$ un processus positif, optionnel, et de la classe $(D)$, s.c.i à droite.
Nous définissons par récurrence $I^{n}=R(I^{n-1})$ et $I^{0}=Y$.
La suite $I^{n}$ est un suite croissante de processus optionels, s.c.i. Sa limite, notée I, est l'enveloppe de Snell du processus $Y$ par rapport à la chronologie $tau$ de l'ensemble des t.a etages rationnelles.
Le caractère s.c.i de $Y$ permet d'identifier le processus $I$ a l'envelope de Snell optionnelle de $Y$. $J$, qui est alors un processus continu à droite"
Merci!
translation-request
asked Dec 1 '18 at 14:42
MaxedMaxed
1961527
$endgroup$
1
$begingroup$
Have you tried just throwing it in to google translate? It does a reasonable job apart from with the acronym (obviously), "suite" and "etages rationnelles" - but gets you something that is probably pretty close to parsable
$endgroup$
– Nadiels
Dec 1 '18 at 14:53
$begingroup$
@Nadiels it is even worse then with common sentences. And the acronym is important.
$endgroup$
– Maxed
Dec 1 '18 at 14:57
$begingroup$
Huh, see I think its pretty amazing with common sentences. But even with a naive copy paste job (which handles the maths badly) it seems alright, for example -- "The $I_n$ suite is a growing suite of optional processes, s.c.i. Its limit, noted $I$, is the envelope of Snell of the process $Y$ with respect to the chronology $tau$ of all rational stages" obviously this is a bit sketch, but swap suite for a different definition and its getting pretty close. Anyways hopefully you will get a more helpful response
$endgroup$
– Nadiels
Dec 1 '18 at 15:04
$begingroup$
"ensemble des t.a etages rationnelles" What is the shorthand t.a standing for here?
$endgroup$
– Did
Dec 2 '18 at 11:10
$begingroup$
@Did tout alors? :)
$endgroup$
– Maxed
Dec 2 '18 at 11:15
|
show 6 more comments
$begingroup$
Since non-mathematicians might miss some subtleties I ask for a translation of the following statement,
"Soit $Y$ un processus positif, optionnel, et de la classe $(D)$, s.c.i à droite.
Nous définissons par récurrence $I^{n}=R(I^{n-1})$ et $I^{0}=Y$.
La suite $I^{n}$ est un suite croissante de processus optionels, s.c.i. Sa limite, notée I, est l'enveloppe de Snell du processus $Y$ par rapport à la chronologie $tau$ de l'ensemble des t.a etages rationnelles.
Le caractère s.c.i de $Y$ permet d'identifier le processus $I$ a l'envelope de Snell optionnelle de $Y$. $J$, qui est alors un processus continu à droite"
Merci!
translation-request
asked Dec 1 '18 at 14:42
MaxedMaxed
1961527
$endgroup$
Since non-mathematicians might miss some subtleties I ask for a translation of the following statement,
"Soit $Y$ un processus positif, optionnel, et de la classe $(D)$, s.c.i à droite.
Nous définissons par récurrence $I^{n}=R(I^{n-1})$ et $I^{0}=Y$.
La suite $I^{n}$ est un suite croissante de processus optionels, s.c.i. Sa limite, notée I, est l'enveloppe de Snell du processus $Y$ par rapport à la chronologie $tau$ de l'ensemble des t.a etages rationnelles.
Le caractère s.c.i de $Y$ permet d'identifier le processus $I$ a l'envelope de Snell optionnelle de $Y$. $J$, qui est alors un processus continu à droite"
Merci!
translation-request
translation-request
asked Dec 1 '18 at 14:42
MaxedMaxed
1961527
asked Dec 1 '18 at 14:42
MaxedMaxed
1961527
edited Dec 1 '18 at 15:14
Maxed
asked Dec 1 '18 at 14:42
MaxedMaxed
1961527
asked Dec 1 '18 at 14:42
MaxedMaxed
1961527
asked Dec 1 '18 at 14:42
MaxedMaxed
1961527
1961527
1
$begingroup$
Have you tried just throwing it in to google translate? It does a reasonable job apart from with the acronym (obviously), "suite" and "etages rationnelles" - but gets you something that is probably pretty close to parsable
$endgroup$
– Nadiels
Dec 1 '18 at 14:53
$begingroup$
@Nadiels it is even worse then with common sentences. And the acronym is important.
$endgroup$
– Maxed
Dec 1 '18 at 14:57
$begingroup$
Huh, see I think its pretty amazing with common sentences. But even with a naive copy paste job (which handles the maths badly) it seems alright, for example -- "The $I_n$ suite is a growing suite of optional processes, s.c.i. Its limit, noted $I$, is the envelope of Snell of the process $Y$ with respect to the chronology $tau$ of all rational stages" obviously this is a bit sketch, but swap suite for a different definition and its getting pretty close. Anyways hopefully you will get a more helpful response
$endgroup$
– Nadiels
Dec 1 '18 at 15:04
$begingroup$
"ensemble des t.a etages rationnelles" What is the shorthand t.a standing for here?
$endgroup$
– Did
Dec 2 '18 at 11:10
$begingroup$
@Did tout alors? :)
$endgroup$
– Maxed
Dec 2 '18 at 11:15
|
show 6 more comments
1
$begingroup$
Have you tried just throwing it in to google translate? It does a reasonable job apart from with the acronym (obviously), "suite" and "etages rationnelles" - but gets you something that is probably pretty close to parsable
$endgroup$
– Nadiels
Dec 1 '18 at 14:53
$begingroup$
@Nadiels it is even worse then with common sentences. And the acronym is important.
$endgroup$
– Maxed
Dec 1 '18 at 14:57
$begingroup$
Huh, see I think its pretty amazing with common sentences. But even with a naive copy paste job (which handles the maths badly) it seems alright, for example -- "The $I_n$ suite is a growing suite of optional processes, s.c.i. Its limit, noted $I$, is the envelope of Snell of the process $Y$ with respect to the chronology $tau$ of all rational stages" obviously this is a bit sketch, but swap suite for a different definition and its getting pretty close. Anyways hopefully you will get a more helpful response
$endgroup$
– Nadiels
Dec 1 '18 at 15:04
$begingroup$
"ensemble des t.a etages rationnelles" What is the shorthand t.a standing for here?
$endgroup$
– Did
Dec 2 '18 at 11:10
$begingroup$
@Did tout alors? :)
$endgroup$
– Maxed
Dec 2 '18 at 11:15
1
1
$begingroup$
Have you tried just throwing it in to google translate? It does a reasonable job apart from with the acronym (obviously), "suite" and "etages rationnelles" - but gets you something that is probably pretty close to parsable
$endgroup$
– Nadiels
Dec 1 '18 at 14:53
$begingroup$
Have you tried just throwing it in to google translate? It does a reasonable job apart from with the acronym (obviously), "suite" and "etages rationnelles" - but gets you something that is probably pretty close to parsable
$endgroup$
– Nadiels
Dec 1 '18 at 14:53
$begingroup$
@Nadiels it is even worse then with common sentences. And the acronym is important.
$endgroup$
– Maxed
Dec 1 '18 at 14:57
$begingroup$
@Nadiels it is even worse then with common sentences. And the acronym is important.
$endgroup$
– Maxed
Dec 1 '18 at 14:57
$begingroup$
Huh, see I think its pretty amazing with common sentences. But even with a naive copy paste job (which handles the maths badly) it seems alright, for example -- "The $I_n$ suite is a growing suite of optional processes, s.c.i. Its limit, noted $I$, is the envelope of Snell of the process $Y$ with respect to the chronology $tau$ of all rational stages" obviously this is a bit sketch, but swap suite for a different definition and its getting pretty close. Anyways hopefully you will get a more helpful response
$endgroup$
– Nadiels
Dec 1 '18 at 15:04
$begingroup$
Huh, see I think its pretty amazing with common sentences. But even with a naive copy paste job (which handles the maths badly) it seems alright, for example -- "The $I_n$ suite is a growing suite of optional processes, s.c.i. Its limit, noted $I$, is the envelope of Snell of the process $Y$ with respect to the chronology $tau$ of all rational stages" obviously this is a bit sketch, but swap suite for a different definition and its getting pretty close. Anyways hopefully you will get a more helpful response
$endgroup$
– Nadiels
Dec 1 '18 at 15:04
$begingroup$
"ensemble des t.a etages rationnelles" What is the shorthand t.a standing for here?
$endgroup$
– Did
Dec 2 '18 at 11:10
$begingroup$
"ensemble des t.a etages rationnelles" What is the shorthand t.a standing for here?
$endgroup$
– Did
Dec 2 '18 at 11:10
$begingroup$
@Did tout alors? :)
$endgroup$
– Maxed
Dec 2 '18 at 11:15
$begingroup$
@Did tout alors? :)
$endgroup$
– Maxed
Dec 2 '18 at 11:15
|
show 6 more comments
1 Answer
1
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oldest
votes
$begingroup$
Let $Y$ be an optional positive process, of class $(D)$, semi-continuous to the right.
Define the recurrence relation $I^{n}=R(I^{n-1})$ and $I^{0}=Y$.
The sequence $I^{n}$ is an increasing sequence of optional process, semi-continuous. It has a limit I, which is the Snell enveloppe of process $Y$ with respect to chronology $tau$, the set of rational stages.
The semi-continuity of $Y$ allows us to identify process $I$ to the optional Snell envoloppe of $Y$. $J$ which is a continuous process to the right.
J'espère que ça te convient!
answered Dec 1 '18 at 15:26
Euler PythagorasEuler Pythagoras
52110
$endgroup$
add a comment |
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$begingroup$
Let $Y$ be an optional positive process, of class $(D)$, semi-continuous to the right.
Define the recurrence relation $I^{n}=R(I^{n-1})$ and $I^{0}=Y$.
The sequence $I^{n}$ is an increasing sequence of optional process, semi-continuous. It has a limit I, which is the Snell enveloppe of process $Y$ with respect to chronology $tau$, the set of rational stages.
The semi-continuity of $Y$ allows us to identify process $I$ to the optional Snell envoloppe of $Y$. $J$ which is a continuous process to the right.
J'espère que ça te convient!
answered Dec 1 '18 at 15:26
Euler PythagorasEuler Pythagoras
52110
$endgroup$
add a comment |
$begingroup$
Let $Y$ be an optional positive process, of class $(D)$, semi-continuous to the right.
Define the recurrence relation $I^{n}=R(I^{n-1})$ and $I^{0}=Y$.
The sequence $I^{n}$ is an increasing sequence of optional process, semi-continuous. It has a limit I, which is the Snell enveloppe of process $Y$ with respect to chronology $tau$, the set of rational stages.
The semi-continuity of $Y$ allows us to identify process $I$ to the optional Snell envoloppe of $Y$. $J$ which is a continuous process to the right.
J'espère que ça te convient!
answered Dec 1 '18 at 15:26
Euler PythagorasEuler Pythagoras
52110
$endgroup$
add a comment |
$begingroup$
Let $Y$ be an optional positive process, of class $(D)$, semi-continuous to the right.
Define the recurrence relation $I^{n}=R(I^{n-1})$ and $I^{0}=Y$.
The sequence $I^{n}$ is an increasing sequence of optional process, semi-continuous. It has a limit I, which is the Snell enveloppe of process $Y$ with respect to chronology $tau$, the set of rational stages.
The semi-continuity of $Y$ allows us to identify process $I$ to the optional Snell envoloppe of $Y$. $J$ which is a continuous process to the right.
J'espère que ça te convient!
answered Dec 1 '18 at 15:26
Euler PythagorasEuler Pythagoras
52110
$endgroup$
Let $Y$ be an optional positive process, of class $(D)$, semi-continuous to the right.
Define the recurrence relation $I^{n}=R(I^{n-1})$ and $I^{0}=Y$.
The sequence $I^{n}$ is an increasing sequence of optional process, semi-continuous. It has a limit I, which is the Snell enveloppe of process $Y$ with respect to chronology $tau$, the set of rational stages.
The semi-continuity of $Y$ allows us to identify process $I$ to the optional Snell envoloppe of $Y$. $J$ which is a continuous process to the right.
J'espère que ça te convient!
answered Dec 1 '18 at 15:26
Euler PythagorasEuler Pythagoras
52110
edited Dec 2 '18 at 13:42
answered Dec 1 '18 at 15:26
Euler PythagorasEuler Pythagoras
52110
answered Dec 1 '18 at 15:26
Euler PythagorasEuler Pythagoras
52110
answered Dec 1 '18 at 15:26
Euler PythagorasEuler Pythagoras
52110
52110
add a comment |
add a comment |
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1
$begingroup$
Have you tried just throwing it in to google translate? It does a reasonable job apart from with the acronym (obviously), "suite" and "etages rationnelles" - but gets you something that is probably pretty close to parsable
$endgroup$
– Nadiels
Dec 1 '18 at 14:53
$begingroup$
@Nadiels it is even worse then with common sentences. And the acronym is important.
$endgroup$
– Maxed
Dec 1 '18 at 14:57
$begingroup$
Huh, see I think its pretty amazing with common sentences. But even with a naive copy paste job (which handles the maths badly) it seems alright, for example -- "The $I_n$ suite is a growing suite of optional processes, s.c.i. Its limit, noted $I$, is the envelope of Snell of the process $Y$ with respect to the chronology $tau$ of all rational stages" obviously this is a bit sketch, but swap suite for a different definition and its getting pretty close. Anyways hopefully you will get a more helpful response
$endgroup$
– Nadiels
Dec 1 '18 at 15:04
$begingroup$
"ensemble des t.a etages rationnelles" What is the shorthand t.a standing for here?
$endgroup$
– Did
Dec 2 '18 at 11:10
$begingroup$
@Did tout alors? :)
$endgroup$
– Maxed
Dec 2 '18 at 11:15