What is Minimum: Definition and 1000 Discussions

In mathematical analysis, the maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range (the local or relative extrema), or on the entire domain (the global or absolute extrema). Pierre de Fermat was one of the first mathematicians to propose a general technique, adequality, for finding the maxima and minima of functions.
As defined in set theory, the maximum and minimum of a set are the greatest and least elements in the set, respectively. Unbounded infinite sets, such as the set of real numbers, have no minimum or maximum.

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  1. C

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  2. A

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  3. L

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  4. R

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  5. C

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  6. S

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  7. Z

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  8. S

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  9. bcrowell

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  10. R

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  11. R

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  12. R

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  13. C

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  14. D

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  15. A

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  16. S

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  17. V

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  18. A

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  19. M

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  20. D

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  21. P

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  22. J

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  23. V

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  24. C

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  25. H

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  26. B

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  27. A

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  28. majormuss

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  29. A

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  30. S

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  31. B

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  32. C

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  33. C

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  34. Spinnor

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  35. A

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  36. L

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  37. C

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  38. M

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  39. R

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  40. S

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  41. P

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  42. W

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  43. D

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  44. M

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  45. G

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  46. K

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  47. K

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  48. A

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  49. Z

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  50. J

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