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# The category Set < sup > op </ sup > can be embedded into Rel by representing each set as itself and each function f: X → Y as the relation from Y to X formed as the set of pairs ( f ( x ), x ) for all x ∈ X ; hence Set < sup > op </ sup > is concretizable.
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# and category
A separate " award " was soon enacted for Night BASE jumping when Mayfield completed each category at night, becoming Night BASE # 1, with Smith qualifying a few weeks later.
# Each legal category has one or more choice of law rules to determine which of the competing laws should be applied to each issue.
Two Elvis Presley records made the R & B top five in 1957: " Jailhouse Rock "/" Treat Me Nice " at # 1, and " All Shook Up " at # 5, an unprecedented acceptance of a non-African American artist into a music category known for being created by blacks.
# Have a set of abstract elemental subclasses for each category of elements ( ScrollBar, Buttons, etc.
# The Formative Maoist Period from 1927 – 1935: In this period, Mao avoided all theoretical implications in his literature and employed a minimum of Marxist category thought.
In 1994 he released the album The Icon Is Love which went to # 1 on the Billboard R & B album charts, and the single " Practice What You Preach " gave him his first # 1 on the Billboard R & B singles chart in almost 20 years, and was nominated for a Grammy in the Best R & B Album category ( it lost to TLC's CrazySexyCool ).
Shane was listed # 45 in the 2007 edition of AFI's 100 Years … 100 Movies list and # 3 on AFI's 10 Top 10 in the category Western.
This has led to much larger game development budgets, as every game publisher tries to ensure that its game is # 1 in its category.
In November 2011, Mount Allison University was ranked the # 1 university in Canada for the 15th time in the primarily undergraduate university category, as rated by Maclean's magazine.
# Any group G may be regarded as an " abstract " category with one object,, and one morphism for each element of the group.
# Similarly, any poset P may be regarded as an abstract category with a unique arrow x → y whenever x ≤ y.
# The category Rel whose objects are sets and whose morphisms are relations can be made concrete by taking U to map each set X to its power set and each relation to the function defined by.
# and Set
* Set Theory, Skolem's Paradox and the Tractatus, A. W. Moore, Analysis 45, # 1 ( January 1985 ), pp. 13 – 20.
# Set the unvisited node marked with the smallest tentative distance as the next " current node " and go back to step 3.
Later, a Batman and Joker Gift Set was released including both characters with new paint schemes to reflect earlier points in the story, as well as a 48-page prestige format reprint of The Dark Knight Returns # 1.
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