What is Maximum: 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. J

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  2. V

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  3. J

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  4. Mason Smith

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  5. bob012345

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  6. N

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  8. J

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  9. B

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  10. P

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  12. J

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  13. H

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  14. F

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  15. X

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  16. K

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  17. K

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  18. L

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  19. DracoMalfoy

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  20. S

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  21. M

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  23. prodo123

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  24. Mathman2013

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  25. M

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  30. Y

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  31. P

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  32. R

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  33. D

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  34. B

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  35. J

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  36. harambe

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  37. M

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  38. P

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  39. S

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  40. S

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  42. D

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  43. G

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  44. V

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  45. D

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  46. R

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  47. C

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  48. Z

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  49. N

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  50. R

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