Glossary entry (derived from question below)
Spanish term or phrase:
supremo e ínfimo
English translation:
supremum and infimum / least upper bound (LUB) and greatest lower bound (GLB)
Added to glossary by
Charles Davis
Feb 18, 2011 21:21
13 yrs ago
3 viewers *
Spanish term
supremo e ínfimo
Spanish to English
Other
Chemistry; Chem Sci/Eng
Se trata del programa de estudios de la materia Análisis Matemático I. Cuando enuncia el contenido del programa, dice lo siguiente:
Números reales. Propiedades Basicas. Representacion sobre la recta. Supremo e ínfimo. Axioma del supremo.
Mi duda es con relación al término"supremo e ínfimo". Es correcto si lo traduzco como "highest and lowest"? Axiom of the highest?
Muchas gracias!
Números reales. Propiedades Basicas. Representacion sobre la recta. Supremo e ínfimo. Axioma del supremo.
Mi duda es con relación al término"supremo e ínfimo". Es correcto si lo traduzco como "highest and lowest"? Axiom of the highest?
Muchas gracias!
Proposed translations
(English)
4 +2 | supremum and infimum | Charles Davis |
Change log
Feb 23, 2011 13:18: Charles Davis Created KOG entry
Proposed translations
+2
18 mins
Selected
supremum and infimum
Or as the title of a course perhaps "suprema" and "infima".
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Note added at 21 mins (2011-02-18 21:43:09 GMT)
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"En matemáticas, dado un subconjunto S de un conjunto parcialmente ordenado (P, <), el supremo de S, si existe, es el mínimo elemento de P que es mayor o igual a cada elemento de S."
http://es.wikipedia.org/wiki/Supremo
"In mathematics, given a subset S of a partially ordered set T, the supremum (sup) of S, if it exists, is the least element of T that is greater than or equal to each element of S."
http://en.wikipedia.org/wiki/Supremum
"In mathematics, particularly set theory, the infimum (plural infima) of a subset of some set is the greatest element (not necessarily in the subset) that is less than or equal to all elements of the subset."
http://en.wikipedia.org/wiki/Infimum
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Note added at 15 hrs (2011-02-19 13:20:48 GMT)
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As a course or module title, "Supremum and Infimum" is certainly found. For example, at Oxford:
"Topic 1: Sets and Sequences
Sets and sequences: open, closed, bounded, compact, and convex sets, supremum and infimum, convergence, continuity."
"Supremum and Infimum questions
Please could some help me with the following questions finding the sup, inf, max and min. Thank you."
http://www.thestudentroom.co.uk/showthread.php?t=699123
"Exam Information for Math 141
"For the exam, make sure that you know
The precise statement of basic definitions (this is not an exhaustive list): supremum, infimum, upper- and lower-bounds, accumulation points, etc.; what it means for a sequence to converge, the limit of a function, etc."
http://www.math.sunysb.edu/~scott/mat141.fall10/Exams/
"Mathematics 225
4) Properties of Continuous Functions (2 weeks)
Supremum and infimum, Bolzano-Weierstrass property, Cauchy sequences, intermediate value theorem, uniform continuity."
http://www.columbiacollege.ca/ko/content/mathematics-225-ana...
http://malroy.econ.ox.ac.uk/ccw/Maths.shtml
--------------------------------------------------
Note added at 21 mins (2011-02-18 21:43:09 GMT)
--------------------------------------------------
"En matemáticas, dado un subconjunto S de un conjunto parcialmente ordenado (P, <), el supremo de S, si existe, es el mínimo elemento de P que es mayor o igual a cada elemento de S."
http://es.wikipedia.org/wiki/Supremo
"In mathematics, given a subset S of a partially ordered set T, the supremum (sup) of S, if it exists, is the least element of T that is greater than or equal to each element of S."
http://en.wikipedia.org/wiki/Supremum
"In mathematics, particularly set theory, the infimum (plural infima) of a subset of some set is the greatest element (not necessarily in the subset) that is less than or equal to all elements of the subset."
http://en.wikipedia.org/wiki/Infimum
--------------------------------------------------
Note added at 15 hrs (2011-02-19 13:20:48 GMT)
--------------------------------------------------
As a course or module title, "Supremum and Infimum" is certainly found. For example, at Oxford:
"Topic 1: Sets and Sequences
Sets and sequences: open, closed, bounded, compact, and convex sets, supremum and infimum, convergence, continuity."
"Supremum and Infimum questions
Please could some help me with the following questions finding the sup, inf, max and min. Thank you."
http://www.thestudentroom.co.uk/showthread.php?t=699123
"Exam Information for Math 141
"For the exam, make sure that you know
The precise statement of basic definitions (this is not an exhaustive list): supremum, infimum, upper- and lower-bounds, accumulation points, etc.; what it means for a sequence to converge, the limit of a function, etc."
http://www.math.sunysb.edu/~scott/mat141.fall10/Exams/
"Mathematics 225
4) Properties of Continuous Functions (2 weeks)
Supremum and infimum, Bolzano-Weierstrass property, Cauchy sequences, intermediate value theorem, uniform continuity."
http://www.columbiacollege.ca/ko/content/mathematics-225-ana...
http://malroy.econ.ox.ac.uk/ccw/Maths.shtml
4 KudoZ points awarded for this answer.
Comment: "Muchas gracias!"
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