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 least upper bound - Definition 

Upper bound (1402 bytes)
1: ...qual to every element of ''S''. The term '''lower bound''' is defined [[duality (order theory)|dually]].
3: ...P'', ≤), an element ''u'' of ''P'' is an upper bound of a subset ''S'' of ''P'', if
7: ...d of ≤ leads to the dual definition of a lower bound of ''S''.
9: ...'infima''). Another special kind of (least) upper bounds are [[greatest element]]s.
11: ...o the set of lower bounds of its own set of upper bounds. This observation leads to the definition of [[D...

Least upper bound axiom (1900 bytes)
1: ...pper bound for the set. However, the least upper bound for the set is <math>\sqrt{2}</math>, which is no...
4: ...or S. By the LUB Axiom, let b be the least upper bound. <math>s_N-\varepsilon\le b\le s_n+\varepsilon</...

Bound (98 bytes)
1: A '''bound''' can be:
2: *an [[upper bound]] - mathematics
3: *[[Bound (movie)]]

IO bound (1956 bytes)
1: ...nce, and the majority of computer programs are IO bound.
7: ...ving a few compute bound jobs to work on while IO bound jobs are stalled. The goal of high processor util...

Spiral bound (864 bytes)
1: '''Spiral-Bound''' is an active online [[mailing list]] and [[new...
3: Spiral-Bound began in [[2000]], and still runs strong today as...
8: ...om/spiral-bound.html www.themodernword.com/spiral-bound.html] - The newsletter
9: ...group/Spiral-Bound/ groups.yahoo.com/group/Spiral-Bound/] - The mailing list

Prometheus Bound (2769 bytes)
1: ...ally attributed to [[Aeschylus]], '''''Prometheus Bound''''' is now considered by most scholars to be the...
9: ...e. [[Percy Bysshe Shelley]] wrote [[Prometheus Unbound]], which used some of the materials of the play a...

Bekenstein Bound (1589 bytes)
1: The '''Bekenstein Bound''', derived by [[Jacob Bekenstein]], imposes a li...
7: ...ce area (in [[Planck units]]), called the '''Area Bound''':
17: ...al upper bound on the entropy to energy ratio for bounded systems", Phys. Rev. D 23, 287 (1981)

Prison Bound (2278 bytes)
2: ...orange" style="color:black;" colspan="3"|''Prison Bound''
4: ...ter" colspan="3"|[[Image:Social Distortion Prison Bound.jpg|Album cover]]
35: |''Prison Bound''<br/> ([[1988]])
39: '''''Prison Bound''''' is an [[album]] released by [[Social Distort...
46: # "Prison Bound"

Bound for Glory (1008 bytes)
1: '''''Bound for Glory''''' is a [[1976]] biographical film wh...

CPU bound (1366 bytes)
1: ...a from a peripheral. Insofar as a program is CPU bound, it has the potential to run faster if a better [...
4: ...e conclusion that such problems are inherently IO bound. Raising processor utilization has economic conse...

Bound state (2005 bytes)
1: In [[physics]], a '''bound state''' is a composite of two or more building b...
3: ...s [[energy]] is spent. The energy [[spectrum]] of bound states is discrete, unlike the continuous spectru...
5: ...on, the energy becomes negative, and a [[stable]] bound state - namely the [[Hydrogen atom]] - is formed.
7: ...ydrogen atom and an electron and an electron is a bound state of a hydrogen atom and a proton.
9: A [[positronium]] is an unstable bound state because it decays into [[photon]]s.

Branch and bound (4828 bytes)
1: '''Branch and bound''' is a general method for finding optimal soluti...
7: ... f and x may be of arbitrary nature. A branch-and-bound procedure requires two tools.
9: ...ructure]], called ''search tree'' or ''branch-and-bound-tree'' or something similar. Its '''nodes''' are ...
11: ...', which is a fast way of finding upper and lower bounds for the optimal solution within a feasible subre...
13: ... subregions examined so far; any node whose lower bound is greater than <math>m</math> can be discarded.

Chernoff bound (1269 bytes)
1: ... named after [[Herman Chernoff]], gives a [[lower bound]] for the success of [[majority agreement]] for '...
5: ...en to compute ''f'' correctly with probability at least 1 &minus; &epsilon;, it suffices to take ''n'' ru...
9: ...ty exists and is equal to the correct value is at least 1 &minus; &epsilon;.
11: The Chernoff bound is a special case of [[Chernoff's inequality]].

Bound Skerry (188 bytes)
1: '''Bound Skerry''' is the [[Extreme points of the United K...

Bound morpheme (255 bytes)
1: Bound morphemes can only occur when attached to [[root ...

Upward Bound (957 bytes)
1: '''Upward Bound''' is a program of the [[United States Department...
3: Most Upward Bound programs combine two elements:
11: ...ttp://www.ed.gov/programs/trioupbound/ The Upward Bound home page]

Zuckerman Bound (344 bytes)
1: '''Zuckerman Bound''' is a trilogy of novels by [[Philip Roth]] whic...
4: *''[[Zuckerman Unbound]]'' (1981)

Homeward Bound (840 bytes)
1: The '''''Homeward Bound''''' [[film]] series is comprised of two films re...
7: '''''[[Colonization (novel)|Homeward Bound]]''''' is also the title of a [[science fiction]]...

Bound (movie) (966 bytes)
1: '''''Bound''''' ([[1996]]) is an [[United States|American]] ...
9: * {{imdb title|id=0115736|title=Bound}}

Outward Bound (6154 bytes)
1: ...aching confidence and tenacity. The name Outward Bound came from the nautical expression that refers to ...
3: ...to improve familial communication. Today Outward Bound has 44 schools all over the world and reports ser...
5: ... Boston, and New York City [http://www.nycoutwardsbound.org NYCOBC]. From their respective beginings, ea...
7: ..., both practical and in the philosophy of Outward Bound, a form of compassionate self-reliance combined w...
19: == Expeditionary Learning Outward Bound ==

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