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Что (кто) такое greatest lower bounds - определение
EVERY ELEMENT OF A PARTIALLY ORDERED SET A WHICH IS GREATER (RESP. LOWER) THAN EVERY ELEMENT OF A SUBSET B INCLUDED IN A
Lower bound; Upper bounds; Upper Bound; Upper bound; Upper Bound and Lower Bound; Upper and lower bound; Upper & lower bounds; Tight upper bound; Tight lower bound; Lower and upper bounds; Majorant; Majorized set; Minorant; Minorized; Minorized set; Sharp bound
Найдено результатов: 1793
Upper and lower bounds
In mathematics, particularly in order theory, an upper bound or majorant of a subset of some preordered set is an element of that is greater than or equal to every element of .
upper bound
An upper bound of two elements x and y under some relation
<= is an element z such that x <= z and y <= z.
("<=" is written in LaTeX as sqsubseteq).
See also least upper bound.
(1995-02-15)
greatest lower bound
LEAST (RESP. GREATEST) OF MAJORING (RESP. MINORING) ELEMENTS OF A PARTIALLY ORDERED SET (NOT NECESSARILY EXISTING IN ALL SETS)
Supremum; Least upper bound; Greatest lower bound; Suprema; Infima; LUB; Lowest upper bound axiom; Smallest upper bound; Infimum; Infima and suprema; Supremum and infimum
<theory> (glb, meet, infimum) The greatest lower bound of two
elements, a and b is an element c such that c <= a and c <= b
and if there is any other lower bound c' then c' <= c.
The greatest lower bound of a set S is the greatest element b
such that for all s in S, b <= s. The glb of mutually
comparable elements is their minimum but in the presence of
incomparable elements, if the glb exists, it will be some
other element less than all of them.
glb is the dual to least upper bound.
(In LaTeX "<=" is written as sqsubseteq, the glb of two
elements a and b is written as a sqcap b and the glb of set
S as igsqcap S).
(1995-02-03)
Beating the bounds
![Beating the bounds of the parish of the [[University Church of St Mary the Virgin]] in Oxford.](https://commons.wikimedia.org/wiki/Special:FilePath/Beating the Bounds Oriel Oxford.jpg?width=200 "Beating the bounds of the parish of the [[University Church of St Mary the Virgin]] in Oxford.")
![Little St Mary's Church]] annually walk round the boundaries of the parish, singing hymns and psalms and praying for blessings on the residents and their activities.](https://commons.wikimedia.org/wiki/Special:FilePath/Beating the Bounds in Mill Lane - geograph.org.uk - 440810.jpg?width=200 "Little St Mary's Church]] annually walk round the boundaries of the parish, singing hymns and psalms and praying for blessings on the residents and their activities.")
![This stone commemorates a beating of the [[Marldon]] parish bounds in Devon in May 2000.](https://commons.wikimedia.org/wiki/Special:FilePath/Millennium stone - geograph.org.uk - 607400.jpg?width=200 "This stone commemorates a beating of the [[Marldon]] parish bounds in Devon in May 2000.")
![Beating the bounds memorial plaque in [[West Ham]]](https://commons.wikimedia.org/wiki/Special:FilePath/West Ham parish boundary stone plaque.jpg?width=200 "Beating the bounds memorial plaque in [[West Ham]]")
ANNUALLY VERIFYING PARISH BOUNDARIES
Beating the Bounds; Gangdays; Beating of the bounds; Perambulating the bounds
Beating the bounds or perambulating the bounds is an ancient custom still observed in parts of England, Wales, and the New England region of the United States, which traditionally involved swatting local landmarks with branches to maintain a shared mental map of parish boundaries, usually every seven years.
Touch-line
CONCEPT IN MANY SPORTS RELATED TO THE EDGE OF THE PLAYING AREA
Sidelines; Touch-line; Out of Bounds; Touch line; Out of bounds (gridiron football); Out of bounds (American football); Out of bounds (sports); Out-of-bounds; Out of bounce; Out-of-bounce; Touchline; Boundary (sports); Boundary line (sport)
The touch-line is the line on either side of the playing area of a game of rugby league, rugby union and association football. In many other sports it is called a side-line.
out of bounds
CONCEPT IN MANY SPORTS RELATED TO THE EDGE OF THE PLAYING AREA
Sidelines; Touch-line; Out of Bounds; Touch line; Out of bounds (gridiron football); Out of bounds (American football); Out of bounds (sports); Out-of-bounds; Out of bounce; Out-of-bounce; Touchline; Boundary (sports); Boundary line (sport)
The Greatest Generation (podcast)
A WEEKLY COMEDY STAR TREK PODCAST HOSTED BY ADAM PRANICA AND BENJAMIN HARRISON AND DISTRIBUTED ONLINE BY MAXIMUM FUN.
The Greatest Generation (Podcast); Greatest Generation (podcast); The Greatest Discovery (podcast); Drunk Shimoda; Greatest Gen; Greatest Discovery (podcast); Greatest Trek
The Greatest Generation is a weekly comedy Star Trek podcast hosted by Adam Pranica and Benjamin Harrison and distributed online by Maximum Fun. The show's tagline is "A Star Trek podcast by two guys who are a little bit embarrassed to have a Star Trek Podcast.
sidelines
CONCEPT IN MANY SPORTS RELATED TO THE EDGE OF THE PLAYING AREA
Sidelines; Touch-line; Out of Bounds; Touch line; Out of bounds (gridiron football); Out of bounds (American football); Out of bounds (sports); Out-of-bounds; Out of bounce; Out-of-bounce; Touchline; Boundary (sports); Boundary line (sport)
n. on the sidelines ('out of action')
touchline
CONCEPT IN MANY SPORTS RELATED TO THE EDGE OF THE PLAYING AREA
Sidelines; Touch-line; Out of Bounds; Touch line; Out of bounds (gridiron football); Out of bounds (American football); Out of bounds (sports); Out-of-bounds; Out of bounce; Out-of-bounce; Touchline; Boundary (sports); Boundary line (sport)
In sports such as rugby and football, the touchline is one of the two lines which mark the side of the playing area. (mainly BRIT)
N-SING: usu the N
Out of bounds
CONCEPT IN MANY SPORTS RELATED TO THE EDGE OF THE PLAYING AREA
Sidelines; Touch-line; Out of Bounds; Touch line; Out of bounds (gridiron football); Out of bounds (American football); Out of bounds (sports); Out-of-bounds; Out of bounce; Out-of-bounce; Touchline; Boundary (sports); Boundary line (sport)
In sports, out of bounds (or out-of-bounds) refers to being outside the playing boundaries of the field. Due to the chaotic nature of play, it is normal in many sports for players and/or the ball to go out of bounds frequently during a game.
Википедия
Upper and lower bounds
In mathematics, particularly in order theory, an upper bound or majorant of a subset S of some preordered set (K, ≤) is an element of K that is greater than or equal to every element of S.Dually, a lower bound or minorant of S is defined to be an element of K that is less than or equal to every element of S. A set with an upper (respectively, lower) bound is said to be bounded from above or majorized (respectively bounded from below or minorized) by that bound. The terms bounded above (bounded below) are also used in the mathematical literature for sets that have upper (respectively lower) bounds.
