...Week 5 Individual assignment James Mullen MTH/221 10/19/13 John Beris Chapter 15 supplementary question 5 5. Let be a Boolean algebra that is partially ordered by≤. If x, y, z ∈ B, prove that x + y ≤ z if and only if x ≤ z and y ≤ z. If x ≤ z and y ≤ z, then from Exercise 6(b) of Section 15.4 we have x + y ≤ z + z. And by the Idempotent Law we have z + z = z. Conversely, suppose that x + y ≤ z.We find that x ≤ x + y, because x(x + y) = x + xy (by the Idempotent Law) _ x (by the Absorption Law). Since x ≤ x + y and x + y ≤ z, we have x ≤ z, because a partial order is transitive. (The proof that y ≤ z follows in a similar way.) 15.1 Question 2 2. Let w, x, and y be Boolean variables where the value of x is 1. For each of the following Boolean expressions, determine, if possible, the value of the expression. If you cannot determine the value of the expression, then find the number of assignments of values for w and y that will result in the value 1 for the expression. a) x + xy + w b) xy + w c) xy + xw d) xy + w a) if w, x, and y be Boolean variables, where the value of x is 1, we need to determine the value of the expression x + xy + w and if it is not possible to find the value of the expression, then find the number of assignments of value for w and y that will result in the value 1 for the expression. Using the law of Identity in the given expression: we get x-1 + xy + w = x (1 + y) + w. Using the law of Dominance, we get x + xy+...
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...Natalia Perez Portfolio September 28, 2012 Table of Contents Statement of Authenticity …………………………………………………………………...……3 Personal Mission Statement……………………………………………………………………….4 Elevator Speech …………………………………………..………………………………………5 Education………………………………………………………………………………………….6 Resume…………………………………………………………………………………………….9 Professional development and Training ……………………………………………………..…..10 Reference…………………………………………………………………………………..…….11 Reference List …………………………………………………………………………….……..12 Awards and Accomplishments …………………………………………………………….……13 Volunteer History ………………………………………………………………………………..14 Professional Affiliations …………………………………………….…………………………..15 Career Path ………………………………………………………………..……………………..16 Work Samples ………………………………………………………………………...…………17 Statement of Authenticity I, Ani Ohanian am the writer of all of the statements you are about to read. None of these statements of information is plagiarized. All of the information you are going to read is valid. These statements are honest representation of what I represent in skills as a career in the Business Administration field. Personal Mission Statement I am a smart, determined and compassionate woman that will not give up on my dreams. I will not let anything get in the way of my success as it is for me and my family. I will...
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...| Carmelia Bell | Portfolio | | Bachelors of Science in AccountingDeVry UniversityJune 2013 | | | | | Table of Contents * Personal Mission Statement * Elevator Speech * Education * DeVry Plan of Study * DeVry Course Description and Academic History * Resume * Reference List * Career Path Section Mission Statement My mission is to continue to drive for excellence throughout my life. I will ensure that I graduate from school with my Bachelors of Science in Accounting degree from DeVry University. My mission is to also enroll in Keller’s Graduate school to get my master in Business and Management. My goal is to work for a successful company in a management position to demonstrate my skills and help the company to drive for outstanding results. I am committed to becoming a successful manager in a retail store or corporate level. I am willing to go above and beyond to reach that goal. I am a driven, compassionate, and hardworking individual. My goal is to one day get marry and have a family. I will be loving and proactive in building and maintaining my relationships with my employees, family and friends, so that I may be considered a successful wife, mother, daughter, sister, aunt, friend, co-worker, and manager. Elevated Speech Hi my name is Carmelia Bell. I am a senior at DeVry. I’m graduating June 30 of this year. I have 4 years of an assistant manager experience. I’m currently working as a team lead at...
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