Questions tagged [mathematical-french]
For questions related to French translations of Mathematical texts and reference requests for French texts.
57
questions
0
votes
0answers
49 views
What does $\mathscr{P}_p$ means in the following French text and identity
What does $\mathscr{P}_p$ means in the following identity:
(Aubin section 5, page 13): Comme la partie principale de ${R_i^{'j}}_{kl}$, $\mathscr{P}_p({R_i^{'j}}_{kl})$ est à intégrale nulle, nous ...
1
vote
0answers
59 views
Translating the term “scindé”
In French, a polynomial is said to be "scindé" (/sɛ̃.de/) on a field $\mathbb K$ if it can be decomposed into a product of polynomials each having a degree of 1. (Take example of all polynomials in $\...
2
votes
0answers
53 views
Translation of the classic Floquet theory paper
It [1] is a highly cited seminal paper for the Floquet theory, so I guess this paper has already been translated into English. Could anyone please give me a link for it? Thanks in advance.
[1] ...
0
votes
1answer
64 views
Reading a french paper: What does “L'application est bornée de H dans X” mean
In a paper by Ginibre "Le problème de Cauchy pour des EDP semi-linéaires périodiques en variables d’espace" he utilizes phrases like
"des estimations linéaires assurant que l’application $\phi \...
29
votes
6answers
455 views
Mathematics in Other Languages
The intention of this community wiki is to aid in learning another language in the restricted topic of mathematics. It does matter whether one wants to learn another language for mathematics or use ...
0
votes
0answers
41 views
Translation Request from French - Comparison of the reals of a topos smooth structures on an elementary topos
I've been reading on Real numbers objects in a Topos, and I want to read this article (starting page 22 on the attached PDF) the nlab references.
The problem is that I don't read French, and I haven'...
0
votes
1answer
84 views
proof in English of Proposition on morphisms into affine schemes
Does anybody know where to find an English proof of the following proposition
Let $(X, \mathcal{O}_X)$ be a locally ringed space, $Y = \operatorname{Spec} A$ an affine scheme. Then the natural map
...
2
votes
1answer
93 views
Translation of statement in French
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 ...
53
votes
3answers
5k views
What is the crime of lèse-Bourbaki?
In the foreword to his textbook Algebra, Serge Lang writes (on page vi)
I have frequently committed the crime of lèse-Bourbaki by repeating short arguments or definitions to make certain sections ...
0
votes
1answer
82 views
What is the meaning of “support propre”?
At the top of page 278 in Deligne's Weil I paper, he refers to the cohomology group $H_c^i(X,\mathcal{F})$ as having "support propre". This literally translates to "proper support", but in context it ...
1
vote
0answers
68 views
How do I translate the following sentences from Deligne's Weil I?
I worry that I'm misinterpreting the mathematical content of the following sentences from Deligne's "Weil I" paper.
I include each sentence in French, followed by my translation of it. Please let me ...
20
votes
1answer
401 views
Roots of polynomials with bounded integer coefficients
For $a\in\mathbb N$, let $R_a\subseteq\mathbb{R}$ be the set of real roots of polynomials whose coefficients are integers with absolute value at most $a$.
$$R_a=\left\{r\in\mathbb{R}\middle|\sum_{i=0}...
4
votes
2answers
462 views
Where can I learn how to read math in French?
I am a graduate student at a University in USA. There is a language requirement to fulfill my grad studies, so I have to take a test that asks to translate a paragraph of a French math book to English....
5
votes
1answer
70 views
How do I translate this sentence from EGA I, part (3.6.2)?
I need some help translating the following sentence to English. It is from (3.6.2) in EGA I.
Si $U,V$ sont deux ouverts non vides dans $X$, $U \cap V$ est non vide, donc $\mathcal{F}(X) \to \...
4
votes
1answer
137 views
How should I translate “isomorphisme près” to English?
While reading a French mathematical text, I encountered the phrase "unique à un isomorphisme près". How should I translate "isomorphisme près" to English? Does it mean "canonical isomorphism"?
1
vote
1answer
108 views
Meaning of “réduit à 0” in EGA I
In several places in EGA I (for example, statement (1.5.8), which I reproduce below), it says that a ring is "réduit à 0", which I would translate "reduced at 0", but which might also be translated "...
1
vote
1answer
92 views
Meaning of sentence in EGA I, Section 1.7.
In Section 1.7 of EGA I, we have the following:
(1.7.1) Étant donné un $A$-module $M$, on appelle support de $M$ et on note $\text{Supp}(M)$ l'ensemble des idéaux premiers $\mathfrak{p}$ de ...
1
vote
1answer
64 views
English word for a triangle in spherical geometry with three right angles?
French has the word trirectangle and Italian the word trirettangolo, which is a term of spherical geometry meaning a triangle with 3 right angles. What is the corresponding English word?
1
vote
1answer
65 views
Translation of 'f agit sur C'
In a French mathematical paper I am reading, there is the following situation: let $f,\sigma:A\rightarrow A$ two group homomorphisms and there is an $N$ such that $\ker (f)\subseteq C = \ker(\sigma^N -...
1
vote
1answer
160 views
What do french mathematicians call a ray?
In the USA we are taught at a young age that a ray is a line with one end, a compromise between a line and a line segment, something like $[0,\infty)$. Is there a word for this in french? I have ...
1
vote
0answers
49 views
Show $A=\{x\in [0.1]\mid \exists\, n \in N\; \exists\, k\in \{0,\ldots, 2^{n} \}, \; x=\frac{k}{2^n} \}$ dense in [0.1]
Let $$\rm{A}=\left\{x\in [0.1]\mid \exists\, n \in \mathbb{N}\; \exists\, k\in \{0,\ldots, 2^{n} \}, \; x=\dfrac{k}{2^n} \right\} $$
Show that A is dense in $[0.1]$
$A$ is dense in $[0.1] \iff
\...
1
vote
1answer
66 views
Show $(1+\frac{z}{n})^{n} \underset{n \to +\infty}{\longrightarrow }e^{z}$
To show that $$z_n=\left(1+\dfrac{z}{n} \right)^{n} \underset{n \longmapsto +\infty}{\longrightarrow \exp(z)}$$
the author of textbook use the following method but there is some steps that i'm not ...
0
votes
1answer
58 views
Show a prime number
Let $ n $ be a natural integer strictly greater than $ 1 $.
If $ n $ is not prime, it admits a prime divisor less than or equal to $ \sqrt {n} $.
How can I write an assertion expressing the ...
6
votes
1answer
559 views
Translation of a theorem in French [closed]
As picture below, what is uno fonction ? I use google translate , it fail to translate it .
1
vote
0answers
71 views
“Contre-module” in Bourbaki
I have seen the term "contre-module" in Bourbaki's "Algèbre, Chapitre VIII" in the first few pages. The notion sounds useful in the theory of non-commutative rings, but I couldn't google an equivalent ...
1
vote
3answers
50 views
Name for a matrix similar to a companion matrix? Translating “Monogène” matrix from French
I am currently translating a research paper from French (which I do not speak well). I have made good progress with copious use of google translate & switching between French & English ...
0
votes
2answers
83 views
Why $z$ is a solution of $(1)$ iff its conjugate $\bar{z}$ is a solution of $(2)$
here is an exercise with its solution from the following book
EAN : $9782100727803$
Exercise:
Solve equation for unknown $z$ in $\mathbb{C}$
$$(E):\quad (z^{2} + 4^{z} + 1)^{2} + (3^{z} + 5)^{2}=...
6
votes
0answers
157 views
Translation of John Nash's 1962 Navier-Stokes paper
Is anyone aware of an English translation of the following paper of John Nash?
John Nash, Le Probleme de Cauchy pour les equations differentielles d'un fluide general, Bulletin de la Société ...
0
votes
1answer
67 views
Express some french text into mathematical form
I would like to express those text ( Original text is in french ) into mathematical form
$1$. The map $$Z\longmapsto \bar{A} \cup Z $$ is a bijection of the set of
All the parts $Z$ of $A$ on the ...
3
votes
0answers
180 views
Modern Books on Group Theory in German or French
Except the book of Huppert's Group Theory I (which I have read partly), I am happy to see if there are modern books on group theory in German or French which include (one or many of) the topics on
...
1
vote
0answers
130 views
English - French dictionary(Maths)
I would like to have an English - French dictionary for higher math ( Master, Doctorate ) . Can you suggest me some ( available online) ? Thank you in advance for your help
2
votes
1answer
112 views
In French mathematics, what does “hypothèse” mean?
Of course, it seems the answer is obviously "hypothesis". However, that translation does not seem right in the following context, taken from a paper by Bernard Host.
Désormais, $p > 1$ est un ...
6
votes
1answer
161 views
“Clôture” vs “Fermeture” dans la littérature française
What is the difference between the two terms "clôture" and "fermeture" in mathematical contexts? For example, in topology, is it more common (or more proper) to say "la clôture de l'ensemble A" or "la ...
3
votes
2answers
219 views
Who is M. Montel?
From V.I. Arnold's Experimental Mathematics:
Not having achieved what they desired, they pretended to desire what they had achieved.
–M. Montel
Who is M. Montel? Is he related to the French ...
0
votes
1answer
48 views
the main measure
I'm looking for the following notion in english if exists, called in french "la mesure principale" ( the main measure )
Let $\theta$ be an angle in standard position the main measure for $\theta$ is ...
1
vote
1answer
2k views
French Math Book PDF that is easy to translate
I have to take a french proficiency exam for my grad program and I need to provide a french math book from which my exam coordinator will choose two pages for me to translate.
I was hoping for some ...
1
vote
1answer
848 views
A Real Analysis book which is in both French and English Languages.
I need a real analysis book which is in both French and English languages. So, it would be great if anybody does have any idea of this issue.
4
votes
3answers
4k views
Is there any difference in mathematical notations between French and English?
I studied Mathematics mainly in French and now I am going to write research articles in English. I would like to know if there are some important differences in mathematical notations between French ...
8
votes
1answer
288 views
Slice and comma categories in French
I have to give a presentation in French on category theory, and most of the literature I use is in English. This is not too much of a problem since most of the terms translate fairly easily. However, ...
8
votes
2answers
2k views
Mathematics in French
I am pretty good at Français. But I learned mathematics in English. Trying to translate mathematical statements from English to French can often be accompanied with many errors because the way ...
2
votes
1answer
83 views
Translation of 'morphisme net'?
In French, one refers to a certain 'morphisme net'. I am looking for the English translation of this.
EDIT: The term appears here on p.22 Lemme 2.7.2. Unfortunately I have not been able to find the ...
4
votes
2answers
8k views
L'Hôpital or L'Hospital? [duplicate]
This may be a stupid question but I just want clarification about the use of the name of this rule. Well, most of the time what I see is L'Hospital's Rule, like in Baby Rudin and many other places. ...
4
votes
2answers
497 views
English for “prolongement” or “Fortsetzung”?
I'm sorry if that's not the right place to ask for, wikipedia failed to give me the correct word...
What's the English for a function that is defined on a larger domain than the original function and ...
9
votes
0answers
201 views
how do we make the distinction between fibers and stalks in French?
In English, if we speak of the stalk of a locally free $\mathcal{O}_X$-module (say), we mean its stalk as a sheaf. If we speak of the fiber, we mean the same thing after killing the maximal ideal.
I ...
4
votes
1answer
99 views
What is meant by “on se ramène par régularisation”?
I am currently attempting to translate the paper 'Sur l'équation de convolution $\mu = \mu \ast \sigma$' by Choquet and Deny. In the paper, a locally compact abelian group $G$ and a positive measure $...
2
votes
2answers
105 views
What does “géométrie de situation” mean?
What does the mathematical French phrase
géométrie de situation
mean?
0
votes
1answer
98 views
Trying to translate the paper “COHOMOLOGIE ET GROUPE DE STEINBERG RELATIFS” by J P Loday J Alg (54) 178, 1978
I am trying to translate the paper "COHOMOLOGIE ET GROUPE DE STEINBERG RELATIFS" by J P Loday J Alg (54) 178, 1978 using google traslator. In section 1, he writes
Un morphisme d’extensions relatives ...
0
votes
2answers
146 views
German and French words for “basic sequence”
Wikipedia says that a sequence $(x_n)$ is a basic sequence iff it is a Schauder basis of its closed linear span. I was wondering whether there is a French or German word for 'basic sequence'? How ...
8
votes
1answer
249 views
Translating a passage of a paper by L. Bérard Bergery
I am currently studying the following paper on Einstein manifolds:
L. Bérard Bergery, Sur de nouvelles variétés riemanniennes d'Einstein, Inst. Elie Cartan, Univ. Nancy №6, 1-60 (1983).
I have ...
1
vote
1answer
392 views
French Question regarding vector spaces
I am not really sure how to translate "E spans F" into french. Could some of the french users assist me ?
