What is the English translation of the German “Grundbereich” and/or “Träger”?Translation of an article of Esselmann: German to EnglishGerman combinatoric terms vs English termsTranslating a sentence from one of Hilbert's papersTranslate a measure theory problem in German to EnglishWhat is the English term for “beschränkt Menge”?English term for “Nebenteil”An English translation of Kyoji Saito's paper “Quasihomogene isolierte Singularitaten von Hyperflachen”“By an abuse of terminology” in GermanEnglish term for “Standardabschätzung”“Abuse of notation” in German
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What is the English translation of the German “Grundbereich” and/or “Träger”?
Translation of an article of Esselmann: German to EnglishGerman combinatoric terms vs English termsTranslating a sentence from one of Hilbert's papersTranslate a measure theory problem in German to EnglishWhat is the English term for “beschränkt Menge”?English term for “Nebenteil”An English translation of Kyoji Saito's paper “Quasihomogene isolierte Singularitaten von Hyperflachen”“By an abuse of terminology” in GermanEnglish term for “Standardabschätzung”“Abuse of notation” in German
$begingroup$
In German, "Grundbereich" and "Träger" stand for the set over which a structure is defined. For example, for the structure $G=(mathbbR,cdot,1)$ the "Grundbereich" or "Träger" is $mathbbR$.
logic terminology translation-request mathematical-german
edited yesterday
Rodrigo de Azevedo
13k41960
asked Sep 13 '16 at 19:02
user366148user366148
194
$endgroup$
|
show 2 more comments
$begingroup$
In German, "Grundbereich" and "Träger" stand for the set over which a structure is defined. For example, for the structure $G=(mathbbR,cdot,1)$ the "Grundbereich" or "Träger" is $mathbbR$.
logic terminology translation-request mathematical-german
edited yesterday
Rodrigo de Azevedo
13k41960
asked Sep 13 '16 at 19:02
user366148user366148
194
$endgroup$
1
$begingroup$
Do you have a source for that? I'm German and never heard of "Grundbereich". I would translate "Träger" with "support", but then again I don't really understand your example.
$endgroup$
– Stefan Perko
Sep 13 '16 at 19:04
$begingroup$
Source: "Einführung in die mathematische Logik", by H.-D. Ebbinghaus, J. Flum, and W. Thomas.
$endgroup$
– user366148
Sep 13 '16 at 19:06
5
$begingroup$
Maybe "the underlying set"?
$endgroup$
– PhoemueX
Sep 13 '16 at 19:06
3
$begingroup$
It’s the domain or underlying set of a model; it’s also sometimes called the universe of the model.
$endgroup$
– Brian M. Scott
Sep 13 '16 at 19:12
2
$begingroup$
"Bereich" can usually be translated as "domain" -- domain of a function, a principal ideal domain is a "Hauptidealbereich", and so on... The key is identifying in what sense domain is meant given the context. I can also confirm that Träger usually means "support" in other contexts, for example "Funktionen mit kompaktem Träger" is functions with compact support.
$endgroup$
– Chill2Macht
Sep 13 '16 at 19:13
|
show 2 more comments
$begingroup$
In German, "Grundbereich" and "Träger" stand for the set over which a structure is defined. For example, for the structure $G=(mathbbR,cdot,1)$ the "Grundbereich" or "Träger" is $mathbbR$.
logic terminology translation-request mathematical-german
edited yesterday
Rodrigo de Azevedo
13k41960
asked Sep 13 '16 at 19:02
user366148user366148
194
$endgroup$
In German, "Grundbereich" and "Träger" stand for the set over which a structure is defined. For example, for the structure $G=(mathbbR,cdot,1)$ the "Grundbereich" or "Träger" is $mathbbR$.
logic terminology translation-request mathematical-german
logic terminology translation-request mathematical-german
edited yesterday
Rodrigo de Azevedo
13k41960
asked Sep 13 '16 at 19:02
user366148user366148
194
edited yesterday
Rodrigo de Azevedo
13k41960
asked Sep 13 '16 at 19:02
user366148user366148
194
edited yesterday
Rodrigo de Azevedo
13k41960
edited yesterday
Rodrigo de Azevedo
13k41960
edited yesterday
Rodrigo de Azevedo
13k41960
13k41960
asked Sep 13 '16 at 19:02
user366148user366148
194
asked Sep 13 '16 at 19:02
user366148user366148
194
asked Sep 13 '16 at 19:02
user366148user366148
194
194
1
$begingroup$
Do you have a source for that? I'm German and never heard of "Grundbereich". I would translate "Träger" with "support", but then again I don't really understand your example.
$endgroup$
– Stefan Perko
Sep 13 '16 at 19:04
$begingroup$
Source: "Einführung in die mathematische Logik", by H.-D. Ebbinghaus, J. Flum, and W. Thomas.
$endgroup$
– user366148
Sep 13 '16 at 19:06
5
$begingroup$
Maybe "the underlying set"?
$endgroup$
– PhoemueX
Sep 13 '16 at 19:06
3
$begingroup$
It’s the domain or underlying set of a model; it’s also sometimes called the universe of the model.
$endgroup$
– Brian M. Scott
Sep 13 '16 at 19:12
2
$begingroup$
"Bereich" can usually be translated as "domain" -- domain of a function, a principal ideal domain is a "Hauptidealbereich", and so on... The key is identifying in what sense domain is meant given the context. I can also confirm that Träger usually means "support" in other contexts, for example "Funktionen mit kompaktem Träger" is functions with compact support.
$endgroup$
– Chill2Macht
Sep 13 '16 at 19:13
|
show 2 more comments
1
$begingroup$
Do you have a source for that? I'm German and never heard of "Grundbereich". I would translate "Träger" with "support", but then again I don't really understand your example.
$endgroup$
– Stefan Perko
Sep 13 '16 at 19:04
$begingroup$
Source: "Einführung in die mathematische Logik", by H.-D. Ebbinghaus, J. Flum, and W. Thomas.
$endgroup$
– user366148
Sep 13 '16 at 19:06
5
$begingroup$
Maybe "the underlying set"?
$endgroup$
– PhoemueX
Sep 13 '16 at 19:06
3
$begingroup$
It’s the domain or underlying set of a model; it’s also sometimes called the universe of the model.
$endgroup$
– Brian M. Scott
Sep 13 '16 at 19:12
2
$begingroup$
"Bereich" can usually be translated as "domain" -- domain of a function, a principal ideal domain is a "Hauptidealbereich", and so on... The key is identifying in what sense domain is meant given the context. I can also confirm that Träger usually means "support" in other contexts, for example "Funktionen mit kompaktem Träger" is functions with compact support.
$endgroup$
– Chill2Macht
Sep 13 '16 at 19:13
1
1
$begingroup$
Do you have a source for that? I'm German and never heard of "Grundbereich". I would translate "Träger" with "support", but then again I don't really understand your example.
$endgroup$
– Stefan Perko
Sep 13 '16 at 19:04
$begingroup$
Do you have a source for that? I'm German and never heard of "Grundbereich". I would translate "Träger" with "support", but then again I don't really understand your example.
$endgroup$
– Stefan Perko
Sep 13 '16 at 19:04
$begingroup$
Source: "Einführung in die mathematische Logik", by H.-D. Ebbinghaus, J. Flum, and W. Thomas.
$endgroup$
– user366148
Sep 13 '16 at 19:06
$begingroup$
Source: "Einführung in die mathematische Logik", by H.-D. Ebbinghaus, J. Flum, and W. Thomas.
$endgroup$
– user366148
Sep 13 '16 at 19:06
5
5
$begingroup$
Maybe "the underlying set"?
$endgroup$
– PhoemueX
Sep 13 '16 at 19:06
$begingroup$
Maybe "the underlying set"?
$endgroup$
– PhoemueX
Sep 13 '16 at 19:06
3
3
$begingroup$
It’s the domain or underlying set of a model; it’s also sometimes called the universe of the model.
$endgroup$
– Brian M. Scott
Sep 13 '16 at 19:12
$begingroup$
It’s the domain or underlying set of a model; it’s also sometimes called the universe of the model.
$endgroup$
– Brian M. Scott
Sep 13 '16 at 19:12
2
2
$begingroup$
"Bereich" can usually be translated as "domain" -- domain of a function, a principal ideal domain is a "Hauptidealbereich", and so on... The key is identifying in what sense domain is meant given the context. I can also confirm that Träger usually means "support" in other contexts, for example "Funktionen mit kompaktem Träger" is functions with compact support.
$endgroup$
– Chill2Macht
Sep 13 '16 at 19:13
$begingroup$
"Bereich" can usually be translated as "domain" -- domain of a function, a principal ideal domain is a "Hauptidealbereich", and so on... The key is identifying in what sense domain is meant given the context. I can also confirm that Träger usually means "support" in other contexts, for example "Funktionen mit kompaktem Träger" is functions with compact support.
$endgroup$
– Chill2Macht
Sep 13 '16 at 19:13
|
show 2 more comments
1 Answer
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$begingroup$
This question was answered in the comments; I'm answering it here to move it off the unanswered list. I've made this answer community wiki so I don't receive reputation for it. If one of the original commenters posts an answer, I'll delete this one.
This is the "underlying set" of the structure - also called the "domain," the "universe," the "carrier set," the "support" (although I've only seen that one used once or twice), and probably a few other things given how obnoxious logic sometimes is about terminology.
(I personally favor "underlying set" since it emphasizes the possibility of other underlying things - e.g. the underlying group of a ring - but "domain" and "universe" are in my experience equally common.)
$endgroup$
add a comment |
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$begingroup$
This question was answered in the comments; I'm answering it here to move it off the unanswered list. I've made this answer community wiki so I don't receive reputation for it. If one of the original commenters posts an answer, I'll delete this one.
This is the "underlying set" of the structure - also called the "domain," the "universe," the "carrier set," the "support" (although I've only seen that one used once or twice), and probably a few other things given how obnoxious logic sometimes is about terminology.
(I personally favor "underlying set" since it emphasizes the possibility of other underlying things - e.g. the underlying group of a ring - but "domain" and "universe" are in my experience equally common.)
$endgroup$
add a comment |
$begingroup$
This question was answered in the comments; I'm answering it here to move it off the unanswered list. I've made this answer community wiki so I don't receive reputation for it. If one of the original commenters posts an answer, I'll delete this one.
This is the "underlying set" of the structure - also called the "domain," the "universe," the "carrier set," the "support" (although I've only seen that one used once or twice), and probably a few other things given how obnoxious logic sometimes is about terminology.
(I personally favor "underlying set" since it emphasizes the possibility of other underlying things - e.g. the underlying group of a ring - but "domain" and "universe" are in my experience equally common.)
$endgroup$
add a comment |
$begingroup$
This question was answered in the comments; I'm answering it here to move it off the unanswered list. I've made this answer community wiki so I don't receive reputation for it. If one of the original commenters posts an answer, I'll delete this one.
This is the "underlying set" of the structure - also called the "domain," the "universe," the "carrier set," the "support" (although I've only seen that one used once or twice), and probably a few other things given how obnoxious logic sometimes is about terminology.
(I personally favor "underlying set" since it emphasizes the possibility of other underlying things - e.g. the underlying group of a ring - but "domain" and "universe" are in my experience equally common.)
$endgroup$
This question was answered in the comments; I'm answering it here to move it off the unanswered list. I've made this answer community wiki so I don't receive reputation for it. If one of the original commenters posts an answer, I'll delete this one.
This is the "underlying set" of the structure - also called the "domain," the "universe," the "carrier set," the "support" (although I've only seen that one used once or twice), and probably a few other things given how obnoxious logic sometimes is about terminology.
(I personally favor "underlying set" since it emphasizes the possibility of other underlying things - e.g. the underlying group of a ring - but "domain" and "universe" are in my experience equally common.)
answered yesterday
community wiki
Noah Schweber
add a comment |
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1
$begingroup$
Do you have a source for that? I'm German and never heard of "Grundbereich". I would translate "Träger" with "support", but then again I don't really understand your example.
$endgroup$
– Stefan Perko
Sep 13 '16 at 19:04
$begingroup$
Source: "Einführung in die mathematische Logik", by H.-D. Ebbinghaus, J. Flum, and W. Thomas.
$endgroup$
– user366148
Sep 13 '16 at 19:06
5
$begingroup$
Maybe "the underlying set"?
$endgroup$
– PhoemueX
Sep 13 '16 at 19:06
3
$begingroup$
It’s the domain or underlying set of a model; it’s also sometimes called the universe of the model.
$endgroup$
– Brian M. Scott
Sep 13 '16 at 19:12
2
$begingroup$
"Bereich" can usually be translated as "domain" -- domain of a function, a principal ideal domain is a "Hauptidealbereich", and so on... The key is identifying in what sense domain is meant given the context. I can also confirm that Träger usually means "support" in other contexts, for example "Funktionen mit kompaktem Träger" is functions with compact support.
$endgroup$
– Chill2Macht
Sep 13 '16 at 19:13