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Questions tagged [mathematical-french]

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

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What is the proper notation for cartesian coordinates with decimals in your native language? [closed]

For simple integers, (1, 2) is what most people are taught in elementary school. This appears to be true regardless or whether their language's decimal separator is ...
octosquidopus's user avatar
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88 views

English translation of a book of J.L. Lions?

Anyone knows if there is an english translation of the book J.L. Lions, Quelques Méthodes de Résolution des Problémes aux Limites Non Linéaires, Dunod, Paris, 1969 ? Or do someone at least know an ...
MackeyTopology's user avatar
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37 views

French translation of "poisedness" and "well-poisedness"

I am looking for the French translation of the terms "poisedness" and "well-poisedness" (i.e., "$\Lambda$-poisedness"), related to interpolation theory. These terms are, ...
Tom M. Ragonneau's user avatar
0 votes
1 answer
71 views

French term for Overcompleteness

I am looking for the French term for the notion of overcompleteness in linear algebra. The current suggestion I have is "sursaturée", but I couldn't find the term in literature. P.S. I am ...
kksagar's user avatar
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1 answer
385 views

What are "suites adjacentes" called in English?

In French two sequences $(a_n)$ and $(b_n)$ are called "suites adjacentes" iff: $(a_n)$ is decreasing $(b_n)$ is increasing $\lim_{n\to \infty}(a_n - b_n)$ = 0 A useful property is that ...
SomeProgrammer's user avatar
2 votes
0 answers
124 views

English Translation of a French Theorem by Brezis

I am interested in an English translation of the French "THEOREME 24" in "Équations et inéquations non linéaires dans les espaces vectoriels en dualité" by Haïm Brézis. It states ...
Michael's user avatar
  • 365
1 vote
2 answers
226 views

How is this random variable $Y$ defined rigorously?

I have come across this question and gave it a try. To not distort the content, I post the original question in French. On se donne $X$ une variable aléatoire tirée selon une loi de Poisson de ...
Akira's user avatar
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1 answer
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Stochastic Systems French translation

What is the english translation for this sentence Principe du Maximum Stochastique en contrôle optimal pour des systèmes avec Changement de Régime I'm stuck in the ''Changement de Régime'' part.
Hamdiken's user avatar
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Translation of "scholie".

What is a good translation for the word "scholie"? This appears in Grothendieck, EGA III 5.1.7, and I don't know its meaning. Neither DeepL nor Google translate nor dict.leo.org know this ...
red_trumpet's user avatar
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1 vote
1 answer
154 views

What does p.s stand for in french ? And what does it mean in english? [closed]

Soit $X$ et $Y$ des v.a.r dindependantes et supposons que $P(X+Y=a)=1$ ou $a$ est une constante. Montrer que $X$ et $Y$ sont p.s des constantes . So unfortunately I don't know french , what does p.s ...
Pedro Alvarès's user avatar
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The translation in french of «Layer Cake Representation»

I would like to know if there exists a generic way of referring to this identity $$\int_X |f(x)| \mathrm{d} \mu(x) = \int_0^\infty \mu\{x \in X : |f(x)| > t \} \mathrm{d} t$$ in french. In english, ...
Elixir's user avatar
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1 answer
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I am attempting the exercise on Hilbert analysis and can't wrap my head around the approach of the answer.

I am doing the last part of question 5 on this website although it is in French It can be followed easily. The question is: Assume that $H=\ell^2(N,C)$, N and C being sets of natural and complex ...
Fnechz's user avatar
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Name of the formula for divisibility of factorials

Suppose we want to find how many factors of $7$ is in $500!$. We want to find number of factors of $7$ in $N = 500 \cdot 499 \cdot ... \cdot 7 \cdot ... \cdot 2 \cdot 1.$ Of course, we can eliminate ...
1b3b's user avatar
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2 votes
0 answers
221 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] ...
8cold8hot's user avatar
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1 answer
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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 \...
Jakob Elias's user avatar
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30 votes
6 answers
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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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0 answers
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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'...
Thomas Davis's user avatar
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1 answer
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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 ...
Carlos Esparza's user avatar
2 votes
1 answer
124 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 ...
user123124's user avatar
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55 votes
3 answers
6k 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 ...
user avatar
0 votes
1 answer
96 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 ...
user514014's user avatar
1 vote
0 answers
101 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 ...
user514014's user avatar
21 votes
1 answer
1k 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}...
Oscar Cunningham's user avatar
5 votes
2 answers
2k 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....
Extremal's user avatar
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5 votes
1 answer
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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 \...
user514014's user avatar
4 votes
1 answer
210 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"?
user514014's user avatar
1 vote
1 answer
146 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 "...
user514014's user avatar
1 vote
1 answer
101 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 ...
user514014's user avatar
1 vote
1 answer
87 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?
Geremia's user avatar
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1 vote
1 answer
70 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 -...
Lhavinia's user avatar
  • 289
1 vote
1 answer
393 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 ...
Jürgen Sukumaran's user avatar
1 vote
0 answers
65 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 \...
Educ's user avatar
  • 4,810
1 vote
1 answer
86 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 ...
Educ's user avatar
  • 4,810
0 votes
1 answer
74 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 ...
Educ's user avatar
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6 votes
1 answer
705 views

Translation of a theorem in French [closed]

As picture below, what is uno fonction ? I use google translate , it fail to translate it .
Enhao Lan's user avatar
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1 vote
0 answers
109 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 ...
Patrick Da Silva's user avatar
1 vote
3 answers
72 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 ...
erfink's user avatar
  • 5,297
0 votes
2 answers
163 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}=...
Educ's user avatar
  • 4,810
13 votes
1 answer
536 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 ...
dobo's user avatar
  • 177
0 votes
1 answer
89 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 ...
Educ's user avatar
  • 4,810
3 votes
0 answers
289 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 ...
p Groups's user avatar
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1 vote
0 answers
176 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
Motaka's user avatar
  • 700
2 votes
1 answer
155 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 ...
John Adamski's user avatar
  • 2,222
6 votes
1 answer
313 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 ...
user00000's user avatar
  • 383
3 votes
2 answers
265 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 ...
Leo's user avatar
  • 7,710
0 votes
1 answer
60 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 ...
Educ's user avatar
  • 4,810
1 vote
1 answer
3k 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 ...
User112358's user avatar
  • 1,537
2 votes
1 answer
2k 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.
Matt's user avatar
  • 153
7 votes
4 answers
7k 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 ...
abdeaitali's user avatar
8 votes
1 answer
439 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, ...
Arnaud D.'s user avatar
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