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Equivalence class - Wikipedia, the free encyclopedia
In mathematics, given a set X and an equivalence relation ~ on X , the equivalence class of an element a in X is the subset of all elements in X which are equivalent to a : The notion of...
en.wikipedia.org/wiki/Equivalence_class |
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Equivalence relation - Wikipedia, the free encyclopedia
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The power of the concept of equivalence class is that operations can be defined on the equivalence classes using representatives from each equivalence class. In order for these operations to be well defined it is necessary that the results of the operations be independent of the class representatives selected.
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As Gertrude Stein said, "There is no there, there." Real numbers have to be equivalence classes of convergent sequences. ... It is essential to define equivalence classes of convergent sequences, but for now this task is postponed until some other constructions are introduced.
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Results revealed a significant interaction between the formation of stimulus equivalence classes and stimulus meaning, indicating consistently biased responding in favor of reaching criterion responding more slowly for REBT-related and non-REBT emotionally charged words.
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The answer lies in two powerful mechanisms which XML Schema introduces: user-defined types (distinct from element types, but crucially involved in their declaration) and element equivalence classes.
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Edward T. Auer, Jr. and Lynne E. Bernstein ... House Ear Institute, 2100 West Third Street, Fifth Floor, Los Angeles, California 90057 ... Visible speech affords less phonetic distinctiveness than acoustic speech. As a result, the speechreader perceives a reduced set of phonemic distinctions, resulting in homopheneity...
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