Mathematics in the modern world-Questions & Answers 100% verified
Mathematics in the modern world-Questions & Answers 100% verified Mathematics - ANSWER-the language of science Mathematical Language - ANSWER-It is a unique among languages in its ability to provide precise expression for every thought or concept that can be formulated in its terms. Set - ANSWER-Any group or collection of objects Elements - ANSWER-The objects that belong in a set are the members of the set. Rule Method or Defining Method - ANSWER-describing the property of a given set. Examples: Set A is the set of vowels in English Alphabets. Roster Method or Tabular Method - ANSWER-Listing the elements of the set, enclosing them by braces, and separating each of them by a comma. Here, each element of the set should only be written once and the order of the elements written is not important (does not matter). Examples: Let A be the set of vowels in English Alphabets A = {a, e, i, o, u} Set-Builder Notation - ANSWER-Introducing a variable to represent an arbitrary element of the set and describing this variable such that the description fits to all elements of the set. Examples: Let A be the set of vowels in English Alphabets A = { x I x is a vowel in English Alphabets} The complement of a set A,(A') - ANSWER-is the set of all elements of the universal set U that are not elements of A. Subset - ANSWER-If every element in a set A is also a member of a set B, then A is called ____ of B; This relationship is written as A ⊆ B or B⊇ A Improper subset - ANSWER-Set A is a proper subset of set B, denoted by A ⊂ B, if every element of A is an element of B, and A ≠ B. If A = B, then set A is an ________ of B.
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