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. Mr Davis 97

    How Fast Can Electro-Fiasco I Travel 1 km from Rest?

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  2. M

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  4. JulienB

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  5. A

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  6. A

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  7. T

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  8. R

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  9. M

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  10. Albert1

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  11. K

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  12. Patrick Farnworth

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  13. Marcelo Rodrigues

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  14. Albert1

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  15. S

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  16. Cleo James

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  17. 1

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  18. Kloud

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  19. M

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  21. C

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  23. I

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  25. R

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  26. S

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  28. megisacat

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  29. lep11

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  30. M

    MHB Galois Groups and Minimum Polynomial

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  31. D

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  32. E

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  33. R

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  34. anemone

    MHB Find Min of $\frac{a(x^2+y^2+z^2)+9xyz}{xy+yz+zx}$ for $x+y+z=1$

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  35. blueray101

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  36. JulienB

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  37. ivtec259

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  38. Adraasa Kynuei

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  39. anemone

    MHB Find Min of $(a-1)^4+(b+2)^4$ w/ $a+b\ge 3$

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  40. N

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  41. A

    What is the minimum number of Polarizers needed

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  42. E

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  43. anemone

    MHB Prove the minimum is greater than or equal to 8

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  44. J

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  45. F

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  46. A

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  47. heartshapedbox

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  48. A

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  49. anemone

    MHB Find Minimum of $(a+b)(b+c)$ | Proof Provided

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  50. E

    Force Required to be a minimum

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