NounSingular subset Plural subsets subset (plural subsets)
AntonymsDerived termsFrom Wiktionary under the GNU Free Documentation License. In mathematics, especially in set theory, a set A is a subset of a set B if A is "contained" inside B. A and B may coincide. The relationship of one set being a subset of another is called inclusion or sometimes containment. Correspondingly, set B is a superset of A since all elements of A are also elements of B. DefinitionsIf 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 of all subsets of S (the power set of S). From Wikipedia under the
GNU Free Documentation License Is a null set considered as an improper subset or is it a proper subset? Q. Can we talk about proper and improper subset if the set that is being described is empty? Thanks Asked by Benjie Boy - Sat Jun 6 11:05:17 2009 - - 2 Answers - 0 Comments A. yes, if the set being described is empty, we can talk about proper and improper subsets. there are no proper subsets of the empty set. the only subset of the empty set is the empty set itself. to be a proper subset, the subset must be strictly contained. so the empty set is an improper subset of itself, but it is a proper subset of every other set. Answered by twistor - Sat Jun 6 11:24:24 2009 If the empty set is a subset of any set then why is it the complement of the universal set? Q. By definition empty set is a subset of any set A otherwise it contains an element which is not an element of set A. But why is it that the complement of Universal set is the empty set? does it mean that empty set has element contains elements that are not in the Universal set? This is impossible right? Asked by Confused guy - Sat Apr 4 06:34:15 2009 - - 4 Answers - 0 Comments A. Complement of universal set = Universal set - universal set = { } { } .. empty set means nothing. Thats it dear. Answered by abdullah - Sat Apr 4 06:41:23 2009 What are the difference between proper and improper subset?
Q. What are the difference between proper and improper subset? Asked by hasan r - Fri Jan 25 11:10:16 2008 - - 3 Answers - 1 Comments A. An improper subset is a subset containing every element of the original set. A proper subset contains some but not all of the elements of the original set. The empty set is a proper subset of any set with at least one element in it. Answered by Yaybob - Fri Jan 25 11:23:55 2008 From Yahoo Answer Search: "subset"  boston.com Mon, 21 Jun 2010 17:42:09 GMT+00:00 Boston Globe The subset of local customers that subscribes to the company's basic service package would have to get an upgrade and pay a higher monthly rate to get ... Comcast and the Boston Red Sox Unveil Expanded Red Sox On Demand Library MarketWatch (press release)  politico.com Tue, 29 Jun 2010 19:45:03 GMT+00:00 Politico (blog) (The lower budget Weekly Standard is offering $20 and a case of beer for the subset of those emails that reference the Standard.) This is a classic case in ...  businessweek.com Tue, 29 Jun 2010 20:56:07 GMT+00:00 BusinessWeek This hearing is focused on derivatives which is a subset , obviously, of what Goldman does, and if you want to get some answers that are useful and ... From Google News Search: "subset"  nicelabel.com 493px x 435px | 21.20kB [source page] This is how you set up the functions see the Field number parameter You will get the variables Dollar and Cent filled with the value Then use them inside the RTF object  earthsensing.com 584px x 564px | 84.80kB [source page] 1 Image 1 This is the original subset image before rectification showing TM bands 4 3 2 RGB Vegetation appears red because of its high response in the From Yahoo Image Search: "subset"  jergames.blogspot.com Yehuda Sun, 11 Apr 2010 17:00:00 GM The Board Game Industry is a . Subset. of the Licensing Industry. The board game industry, like other industries to which it is vaguely related, such as toys, comics, video games, sports, puzzles, and so on, sells entertainment. ...  stackexchangesites.com Henry Yuen ue, 11 May 2010 01:37:21 GM Sum of . subset. of geometric series: a^2^n052010-05-10 18:37:21Henry Yuen. The formula for 1 + a + a^2 + . where 0 < a < 1 is $\frac{1}{1-a}$, but what if you wanted to sum only those where the exponent is a power of 2? That is, ...  cdsweb.cern.ch Weigel, R S hu, 06 May 2010 16:09:53 GM Time Series Data Server (TSDS) is a software package for implementing a server that provides fast super-setting, sub-setting, filtering, and uniform gridding of time series-like data. TSDS was developed to respond quickly to requests ... From Google Blog Search: "subset" |
