Chapter 1 Sets Definition 1.1. A set is a well-defined collection of distinct objects. Each object in a set is called an element of the set. By “well-defined”‚ we mean that the rule of membership to the set is clear. Example 1.2. The following are examples of sets. 1. The set of counting number less than 5. 2. The set of vowels in the word “mathematics”. 3. The set of cities in the Philippines. 4. The set of positive integers from −2 to 6‚ inclusive. 5. The set of days of the week. 6. The set of monkeys
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to: 1. Describe set and the basic terms related to set; 2. Identify and apply the basic set notations; 3. List the subsets of a set; 4. Perform operations on set; and 5. Use Venn diagram to show relationships. II. Reference: E-math K-12 edition by Orlando A. Oronce and Marilyn O. Mendoza p. 2-9. III. Subject Matter Topic: Basic Ideas of Set Material: examples of sets: set of books‚ set of Vocabulary; set‚ subset‚ union‚ intersection‚ complement‚ equal sets‚ equivalent sets‚ Venn diagram
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Part I The Fuzzy Logic concept was created by a man named Lotfi Zadeh in 1960. He was a professor at the University of California. He originally presented Fuzzy Logic as a way of processing data‚ which would allow partial set memberships rather than crisp set membership or non-membership. Overall Fuzzy logic is a problem solving control system. Fuzzy Logic provides a simple way to arrive at a definite conclusion based upon fuzzy‚ confusing‚ imprecise‚ or missing input information. It helps to
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one-to-one “Q6: Take two sets A and B of your choice and determine the following: A = {0‚1‚2‚3‚4} B = {2‚4‚6‚8‚10} a) A∪B = {0‚1‚2‚3‚4‚6‚8‚10} b) A∩B = {2‚4} c) A-B = {0‚1‚3} d) B-A = {6‚8‚10} “Q4: Let S = {-1‚0‚2‚4‚7}. Find f(S) if the following conditions are followed” a)fx=1 As there are no values to substitute x with therefore this function shall remain the same regardless of the number of values b)fx=2x+1 One by one the above mentioned set values are put into
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Primitive‚ and the Perceptual Lens To say that any culture‚ region‚ or country is civilized or primitive is purely subjective to the person stating the opinion. Each individual‚ whether educated or uneducated‚ will have a different view on the definition of those two terms; a view that is influenced by the perceptual lens‚ or bias‚ that the individual has developed through various experiences over their lifetime. Nonetheless‚ how do subjectivity and the perceptual lens manipulate the
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overlap. Students are then able to fill out appropriate information from a word problem and calculate the numbers that go in each open spot (Cain‚ n.d.). In the world of mathematic the term "a group of things" is "a set"; Venn diagrams can be used in this instance to demonstrate both set and logical relationships. Hence‚ when drawing a Venn diagram‚ we first draw a rectangle called a "universe". The rectangle or “universe” represents the present or everything that is been dealt with presently. For
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Assignment 1 Perceptual Biases and Reducing Their Impact May 29‚ 2011 Biases‚ and more specifically‚ perceptual biases are a range of humanly inevitable techniques that are used by people to make sense of the behaviours‚ personalities‚ and attitudes of other people around them. These various techniques are generally the easy way out when we try to analyze an individual’s predisposition. However‚ because they are the easy way out‚ they cause us to receive only a limited and possibly inaccurate
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How Venn Diagrams Can Help Students in Math Venn diagrams are used in math to visually assist students when grouping real sets or implied ideas. The diagrams were invented by John Venn and are his only known accomplishments in the science of mathematical logic (Stapel‚ 2012). The diagram begins with all related information and is named the universal set. In this set all the known information pertaining to the problem or ideas are grouped. Within this group we have at least two subset or classifications
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Book #1‚ Unit #1 Number Simplifying Fractions To change a fraction or a decimal into a percentage‚ multiply it by 100. To change a percentage into a fraction‚ rewrite % as division by 100. To write a fraction as a decimal‚ divide the top number by the number. To change 1/8 into a decimal: divide 1 by 8. 0.125 To change 7/20 into a percentage: multiply by 100. 7/20 x 100 = 35% To simplify 15/1.2: multiply top and bottom by 10. 150/12 = 25/2 = 12.5 Directed Numbers 3 + (-4) = 3 - 4 = - 1 3 - (-4) =
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There are four stages in the perceptual process: information attention and selection‚ organization of information‚ information interpretation‚ and information retrieval. Information attention and selection involves the screening of the vast amount of information bombarding a person to determine the information on which he/she will actually focus. Organization of information involves the use of schemas –– person‚ script‚ and person-in-situation –– to efficiently organize the information that is perceived
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