Questions tagged [mathematical-french]

For questions related to French translations of Mathematical texts and reference requests for French texts.

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29
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6answers
383 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 ...
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0answers
35 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'...
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1answer
70 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
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1answer
84 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 ...
47
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3answers
4k 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
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1answer
69 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 ...
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0answers
58 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 ...
19
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1answer
317 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
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2answers
156 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
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1answer
53 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
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1answer
91 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"?
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1answer
94 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 "...
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1answer
79 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
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1answer
57 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?
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1answer
63 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
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1answer
104 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 ...
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0answers
41 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
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1answer
63 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
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1answer
49 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 ...
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0answers
53 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
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3answers
49 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
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2answers
78 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
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0answers
131 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
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1answer
64 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
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0answers
147 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 ...
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0answers
113 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
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1answer
95 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
137 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
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2answers
193 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
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1answer
40 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 ...
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1answer
1k 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 ...
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1answer
643 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
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3answers
2k 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 ...
6
votes
1answer
227 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, ...
7
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2answers
1k 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
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1answer
62 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
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2answers
6k 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
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2answers
486 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 ...
8
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0answers
169 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 ...
2
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2answers
86 views

What does “géométrie de situation” mean?

What does the mathematical French phrase géométrie de situation mean?
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1answer
95 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 ...
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2answers
140 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 ...
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1answer
243 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 ?
6
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2answers
183 views

Translating French paper into English

I am currently studying a French paper on Einstein manifolds by Berard Bergery and I have doubts that my translation of the following sentence is correct: De plus, puisque $G$ agit par isometries, $...
2
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1answer
578 views

Question on a French math text by P. Masani

I'm trying to translate a paper on matrix-valued functions by P. Masani, published in C. R. Acad. Sci. Paris, 249, 1959, p. 873. (see http://temp-share.com/show/FHKd40yi6 for scanned pdf). My specific ...
2
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0answers
584 views

French notational differences

I wish to read some French probability / measure theory papers. I do not wish to be caught out with different notations. For example if "compact" in French has a weaker meaning than in English ...
7
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0answers
233 views

French translation of “well-powered” category

In order to write a report, I'm looking for a French translation of the term "well-powered category". Does anyone know the canonical term in French?
11
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2answers
284 views

What is the gender of $K(\pi,n)$ in French?

This is a kind of silly question, but I don't know where else to ask. Suppose I wanted to say "Ceci n'est pas une pipe" but with $K(\pi,n)$ substituted for "pipe." Would the article be "un" or "une"? ...