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What (who) is well-posed problem - definition
Well-posed problem
FUNCTIONAL RELATIONSHIP F BETWEEN SOME INPUT X AND OUTPUT Y SUCH THAT Y=G(X) AND G IS LIPSCHITZ IN A NEIGHBOURHOOD OF EVERY X
Well-conditioned problem; Ill-posed problem; Ill-posed; Well-posedness; Ill-posed problems; Well-poised; Well-posed; Ill posed; Ill-posedness; Well-posed problem (numerical analysis)
The mathematical term well-posed problem stems from a definition given by 20th-century French mathematician Jacques Hadamard. He believed that mathematical models of physical phenomena should have the properties that:
All's Well That Ends Well
![A copy of Boccaccio's ''The decameron containing an hundred pleasant nouels. Wittily discoursed, betweene seauen honourable ladies, and three noble gentlemen'', printed by [[Isaac Jaggard]] in 1620.](https://commons.wikimedia.org/wiki/Special:FilePath/Decameron Title Page.jpg?width=200 "A copy of Boccaccio's ''The decameron containing an hundred pleasant nouels. Wittily discoursed, betweene seauen honourable ladies, and three noble gentlemen'', printed by [[Isaac Jaggard]] in 1620.")
PLAY BY SHAKESPEARE
All's Well that Ends Well; All's well that ends well; Capilet; Parolles; All's well that ends well (proverb); Alls Well That Ends Well; All's Well That End's Well; All's Well, that Ends Well
All's Well That Ends Well is a play by William Shakespeare, published in the First Folio in 1623, where it is listed among the comedies. There is a debate regarding the dating of the composition of the play, with possible dates ranging from 1598 to 1608.
well-ordered set
TOTAL ORDER SUCH THAT EVERY NONEMPTY SUBSET OF THE DOMAIN HAS A LEAST ELEMENT
Well-ordered set; Well-ordered; Well-ordering; Well ordered; Well ordering; Well-ordering property; Wellorder; Wellordering; Well ordered set; Wellordered; Well ordering theory; Well ordering property; Well-Ordering; Well-Ordered; Well-orderable set; Well order
<mathematics> A set with a total ordering and no infinite
descending chains. A total ordering "<=" satisfies
x <= x
x <= y <= z => x <= z
x <= y <= x => x = y
for all x, y: x <= y or y <= x
In addition, if a set W is well-ordered then all non-empty
subsets A of W have a least element, i.e. there exists x in A
such that for all y in A, x <= y.
Ordinals are isomorphism classes of well-ordered sets,
just as integers are isomorphism classes of finite sets.
(1995-04-19)
