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"Subset" Introduction


From   Wikipedia , TutorVista
Wikipedia
subset : In mathematics, especially in set theory, a set A is a subset of a set B if A is "contained" inside B. Notice that A and B may coincide. The relationship of one set being a subset of another is called inclusion. If A and B are sets and every element of A is also an element of B, then: If A is a subset of B, but A is not equal to B (i.e. there exists at least one element of B not contained in A), then For any set S, the inclusion relation ⊆ is a partial order on the set 2 S of all subsets of S (the power set of S). Some authors use the symbols ⊂ and ⊃ to indicate "subset" and "superset" respectively, instead of the symbols ⊆ and ⊇, but with the same meaning. So for example, for these authors, it is true of every set A that A  ⊂  A. Other authors prefer to use the symbols ⊂ and ⊃ to indicate proper subset and superset, respectively, in place of \subsetneq and \supsetneq. This usage makes ⊆ an....   More from Wikipedia

subset : The Embeddable Linux Kernel Subset (ELKS) is a Unix-like operating system kernel that can run on Intel 8086-compatible microprocessors. ELKS, formerly known as Linux-8086, is a small subset of Linux and can run on machines with limited processor and memory resources, including machines with..   More from Wikipedia

Subsets
If A and B are sets such that each element of A is an element of B, then we say that A is a subset of B and write A B. ..
Some Results of Subsets
Some Results of Subsets..

"Subset" Videos


From   Youtube
 
  How many subsets of a Set?

"Subset" Questions & Answers


From   Yahoo Answers
Question : Integers, Whole numbers, Rational Numbers or Irrarional Numbers? Also what is a subset? Will give 10pts to most informative answer.

Answer : sqrt(5) is a member of the set of irrational numbers A subset is simply a set all of whose members belong to another set, that which is sometimes called the 'superset'..   More from Yahoo Answers

Question : I don't understand what the word Subset means. Is there a synonym for the word subset? Is it the same or different as something?

Answer : Subset is a mathematical term that has acquired a more general meaning. A set in math is a group of numbers or objects. A subset is a part or portion of a set. For instance, {3, 4, 5} is a subset of {1, 2, 3, 4, 5, 6}. In everyday usage, a subset is a smaller part or portion of any group of persons or things. Civis Romanus..   More from Yahoo Answers

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