Questions tagged [translation-request]

This tag is for requests to translate written mathematical material from one language to another.

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25 votes
3 answers
2k views

Translations of Kolmogorov Student Olympiads in Probability Theory

I am deeply interested in Kolmogorov's probability contest whose tests could be found in English for the five first years but there is no English translation to its problems from round 6 onward. I ...
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17 votes
1 answer
311 views

Convex metric on a continuum.

I am having troubles with this problem. Translation: A metric $d$ on a continuum is called convex if for any two points $p$ and $q$ of $X$ there is a point $x\in X$ such that $d(p,x)=\frac12d(p,q)=...
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13 votes
1 answer
352 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 ...
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11 votes
2 answers
480 views

How do you read "$a_n$" in English?

What is the correct way to read "$a_n$" in English? What is the translation of what in Spanish is "$a$ sub $n$"?
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10 votes
1 answer
411 views

What does the German word "Zerlegungsautomorphismus" translate to?

I would like to know if any of our German friends can translate that word for me. Zerlegung is factorisation, isn't it? So what is factorisation automorphism? This is taken from Deuring's paper “Die ...
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8 votes
2 answers
878 views

Translating an Italian exercise precisely

I am trying to help a friend with his algebra course. However, his exercises are in Italian, and unfortunately he translates them poorly for me since he does not know the mathematical terms in ...
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8 votes
4 answers
847 views

"Abuse of notation" in German

How do you express the common phrases "by an abuse of notation", "abusing the notation", etc. in German without invoking negative connotations? (Without this addendum, I'd have asked at german.se.) "...
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8 votes
2 answers
3k 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 ...
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8 votes
1 answer
362 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, ...
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8 votes
1 answer
284 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 ...
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7 votes
2 answers
301 views

English-Italian translations of "sieve" and "sink" in sheaf theory

I'm working for my Undergraduate degree thesis and I need to translate the terms "sieve" and "sink" from sheaf theory (the latter meaning a set (class) of morphisms in a category $C$ with common ...
7 votes
1 answer
399 views

Integral relations in Fricke and Klein

Can someone please explain how Fricke and Klein obtain the integral relationa stated at the top of p. 34 in this book? The entire book can be previewed on Google Books. It is an old book and I do not ...
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7 votes
2 answers
245 views

The origin of Japanese translation of sheaf, 層

A sheaf (French faisceau) is called 層 in Japanese. Literal meaning of 層 would be a layer, a stratum, or a story (as in a building,) so the terminology is a bit different from what sheaf or faisceau ...
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7 votes
1 answer
260 views

Translation of a paper of John Tate

I'm just wondering if anyone knows if the paper "Classes d'isogenie des varietes abeliennes sur un corps fini" by John Tate has been translated into English. My French is not that good and I found it ...
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6 votes
1 answer
636 views

Translation of a theorem in French [closed]

As picture below, what is uno fonction ? I use google translate , it fail to translate it .
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6 votes
3 answers
698 views

Proof of Bézout's Theorem

Gostaria de saber como provar usando divisibilidade o teorema de Bezout $(a,b)=d\Longrightarrow \exists f,g\in\mathbb{Z^*}$ tal que $af+gb=d$ I'd like to know how to, using divisibility, prove ...
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6 votes
1 answer
235 views

Translation of the statements of theorems presented in a German paper of Gaschütz

I would appreciate some help in translating the statements of the theorems contained in the following paper of Gaschütz on the Frattini subgroup: "Über die $\Phi$-Untergruppe endlicher Gruppen&...
  • 5,725
6 votes
2 answers
241 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, $...
  • 8,290
6 votes
1 answer
83 views

Is it "a" or "an" in front of Greek letters beginning with a vowel?

Good evening! I know that it is a basic rule in English that before most vowels, the indefinite particle a becomes an. My question now is: Does this also apply in front of (non-latenized) Greek ...
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6 votes
1 answer
256 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 ...
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5 votes
1 answer
2k views

Translate a German paper by Hilbert [closed]

Please translate Hilbert's paper Ein Beitrag zur Theorie des Legendre'schen Polynoms. I cannot find an existing translation for it. Thanks:)
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5 votes
2 answers
580 views

Translation of a German paper

I'd like to have a translation (in English) of a paper of Klaus Doerk published in Journal of Algebra: http://www.sciencedirect.com/science/article/pii/S0021869384711999 It is 4,5 pages long with ...
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5 votes
1 answer
82 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 \...
5 votes
2 answers
2k views

English translation of von Neumann's "Zur Theorie der Gesellschaftsspiele", 1928

Some colleagues and I are reading various classic papers. We would like to read von Neumann's "Zur Theorie der Gesellschaftsspiele", 1928, but do not read German. Do you know of an English translation,...
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5 votes
0 answers
75 views

Understanding Peter Engel's space-filling tricontaoctahedron: What is the notation for these bounding planes?

In Peter Engel's 1991 paper Über Wirkungsbereichsteilungen von kubischer Symmetrie, a 38-sided convex polyhedron is described which apparently can tile space. I'm interested in better understanding ...
5 votes
0 answers
93 views

Translation of an old paper by Frobenius

I have an old paper: Frobenius, G. (1902). Uber primitive Gruppen des Grades $n$ und der Klasse $n - 1$. S. B. Akad. Berlin 1902, 455-459. in the German language. Is there a way to access a ...
5 votes
0 answers
74 views

C. Neumann passage in Latin from *Annali di Matematica Pura ed Applicata*

Neumann, Carl. “Theoria nova phaenomenis electricis applicanda.” Annali di Matematica Pura ed Applicata 2, no. 1 (August 1868): 120–128. doi:10.1007/BF02419606. p. 121: Nova introducitur suppositio,...
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5 votes
0 answers
111 views

Die Relationen, welche zwischen den elementaren symmetrischen Functionen bestehen - Translation?

I am trying to find a translation of this paper either in English or French (preferably English). I am not very optimistic, but i thought of asking in case somebody is more resourceful :)
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4 votes
2 answers
518 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 ...
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4 votes
1 answer
317 views

What's "stetig fortsetzbar" in English?

If, say, a function $f\colon(a,b)\to\mathbb R$ is continuous and there's a continuous function $g\colon[a,b)\to\mathbb R$ such that $f$ and $g$ agree on $(a,b)$, then some German textbooks call $f$ &...
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4 votes
1 answer
162 views

Translate "Relevement" to english?

There is a definition in my French-taught course that says : Soient $p:E \rightarrow B$ and $h:X \rightarrow B$ two application continues. Un relevement de $h$ est une application continue $H:X \...
4 votes
1 answer
188 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"?
4 votes
1 answer
425 views

French-to-English translation of paper

I am currently reading a mathematical paper in French and I am not sure how to translate the following sentence: On suppose que la premiere classe de Chern $c_1(N)$ est $p\alpha$ ou $p$ est un ...
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4 votes
1 answer
529 views

Translating Code into Math?

This is my first posting here, so I am not sure this is in the correct place. I have this math problem: Find the number of distinct integers in this set: $$\left\{\left[\frac{1^2}{5012}\right], \...
4 votes
2 answers
118 views

How do you refer to this Term in English?

How do you refer to this theorem in English exactly? $$a\mathbb Z+ b\mathbb Z =d\mathbb Z \text{, where }d = \gcd(a,b) \text{ and a, b}\in \mathbb Z$$ I imagine it should be something like: "The set ...
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4 votes
2 answers
246 views

How they deduce that $\det A=1$ just from the first coefficient and minor

I found solution of exercise that said show that A is rotation to do that we have to compute det A=1 but they found it directly Is there any relationship between the first coefficient and minor to ...
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4 votes
1 answer
119 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 $...
4 votes
0 answers
68 views

English expression for strung together equalities or inequalities (i.e. $a = \dots = z$ or $a < \dots < z$)? German: "(Un-)Gleichungskette"

Is there a standard expression for strung together equalities/inequalities in English? What I mean is $a = b = \cdots = z$ or $a < b < \cdots< z$. In German, I find the words Gleichungskette (...
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4 votes
0 answers
73 views

German translation of "quantale"

A quantale is a monoidal sup-lattice. Is there a German translation for that term? I was guessing it is just "Quantal", but I find only two results (here and here, the second even has a ...
4 votes
0 answers
51 views

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, ...
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3 votes
2 answers
273 views

What does it mean to demonstrate "por doble inclusión" in Spanish?

What does it mean to demonstrate "por doble inclusión" in Spanish? "By double-counting?" And what is that? thanks For context, see, e.g., this.
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3 votes
1 answer
115 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 ...
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3 votes
1 answer
198 views

A proof of Poincaré-Hurwitz Theorem in English?

I was reading this paper by Shane Chern: https://arxiv.org/abs/1602.02844 and I found the following theorem: Let $E$ be a nonsingular cubic curve in $\mathbb{P}^2$ which is defined over $\mathbb{Q}$...
3 votes
1 answer
676 views

"Explosion in finite time" in ODE and manifolds

We know that, if $F:\mathbb{R}^n\to\mathbb{R}^n$ is regular enough, then a curve $c:t\to\mathbb{R}^n$ solution of the ODE $$\left\{\begin{array}{l}c'(t)=F(c(t))\\ c(0)=x\in\mathbb{R}^n\end{array}\...
  • 8,046
3 votes
1 answer
273 views

What is the "decrement" of a permuation? (Or what is the alternative word or phrase used for this definition)

In a Russian text, on the topic of Permutation Groups, the author introduces the concept of the decrement of a permutation defined as follows: (Note that this is my translation of the text, so it ...
  • 896
3 votes
1 answer
113 views

German translation of final sentences of a paper by Hilbert

I am translating a paper by Hilbert into English. I am finished except for the last few sentences, which are confusing me. If anyone can give me a rough/quick translation it would be greatly ...
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3 votes
1 answer
531 views

German for “contiguous simplicial maps”

Is there an established German word for “contiguous” in the sense of contiguous simplicial maps? Background Definition. Two simplicial maps $f$ and $g$ from $\mathcal K$ to $\mathcal L$ are called ...
  • 8,422
3 votes
1 answer
100 views

Translation help (French): "Monoïde cycliste"

I am reading this paper, and in section 4, they define the "monoïde cycliste" to be the quotient of the free monoid on two generators, $\{\alpha,\beta\}^*$, by the relations $\alpha\alpha\beta \sim \...
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3 votes
1 answer
116 views

$2(1+abc)+\sqrt2(1+a^2)(1+b^2)(1+c^2)\ge(1+a)(1+b)(1+c)$ for real numbers $a,b,c$

$a,b,c$ reel sayılar için ; $$2(1+abc)+\sqrt2(1+a^2)(1+b^2)(1+c^2)\ge(1+a)(1+b)(1+c)$$ Olduğunu gösteriniz. Translation:1 For real numbers $a,b,c$, show that: $$2(1+abc)+\sqrt2(1+a^2)(1+b^2)(1+...
3 votes
1 answer
196 views

Introductory Text On Heyting Algebras

I am looking for an introductory text on Heyting algebras, and specifically their relation logic. Searching the internet I found Heyting Algebras: Duality Theory by Leo Esakia, but do not know whether ...
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