Petrick's Method
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Petrick's Method
In Boolean algebra, Petrick's method (also known as ''Petrick function'' or ''branch-and-bound'' method) is a technique described by Stanley R. Petrick (1931–2006) in 1956 for determining all minimum sum-of-products solutions from a prime implicant chart. Petrick's method is very tedious for large charts, but it is easy to implement on a computer. The method was improved by Insley B. Pyne and Edward Joseph McCluskey in 1962. Algorithm # Reduce the prime implicant chart by eliminating the essential prime implicant rows and the corresponding columns. # Label the rows of the reduced prime implicant chart P_1, P_2, P_3, P_4, etc. # Form a logical function P which is true when all the columns are covered. ''P'' consists of a product of sums where each sum term has the form (P_ + P_ + \cdots + P_), where each P_ represents a row covering column i. # Reduce P to a minimum sum of products by multiplying out and applying the absorption law In algebra, the absorption law or absorption ...
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Boolean Algebra (logic)
In mathematics and mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the variable (mathematics), variables are the truth values ''true'' and ''false'', usually denoted 1 and 0, whereas in elementary algebra the values of the variables are numbers. Second, Boolean algebra uses Logical connective, logical operators such as Logical conjunction, conjunction (''and'') denoted as ∧, Logical disjunction, disjunction (''or'') denoted as ∨, and the negation (''not'') denoted as ¬. Elementary algebra, on the other hand, uses arithmetic operators such as addition, multiplication, subtraction and division. So Boolean algebra is a formal way of describing logical operations, in the same way that elementary algebra describes numerical operations. Boolean algebra was introduced by George Boole in his first book ''The Mathematical Analysis of Logic'' (1847), and set forth more fully in his ''The Laws of Thought, ...
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The American Mathematical Association
The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level. Members include university, college, and high school teachers; graduate and undergraduate students; pure and applied mathematicians; computer scientists; statisticians; and many others in academia, government, business, and industry. The MAA was founded in 1915 and is headquartered at 1529 18th Street, Northwest in the Dupont Circle neighborhood of Washington, D.C. The organization publishes mathematics journals and books, including the ''American Mathematical Monthly'' (established in 1894 by Benjamin Finkel), the most widely read mathematics journal in the world according to records on JSTOR. Mission and Vision The mission of the MAA is to advance the understanding of mathematics and its impact on our world. We envision a society that values the power and beauty of mathematics and fully realizes its potential to promote human flourishing. ...
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Van Nostrand Reinhold Co
A van is a type of road vehicle used for transporting goods or people. Depending on the type of van, it can be bigger or smaller than a pickup truck and SUV, and bigger than a common car. There is some varying in the scope of the word across the different English-speaking countries. The smallest vans, microvans, are used for transporting either goods or people in tiny quantities. Mini MPVs, compact MPVs, and MPVs are all small vans usually used for transporting people in small quantities. Larger vans with passenger seats are used for institutional purposes, such as transporting students. Larger vans with only front seats are often used for business purposes, to carry goods and equipment. Specially-equipped vans are used by television stations as mobile studios. Postal services and courier companies use large step vans to deliver packages. Word origin and usage Van meaning a type of vehicle arose as a contraction of the word caravan. The earliest records of a van as a vehicle i ...
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Thomas Nelson And Sons Ltd
Thomas Nelson is a publishing firm that began in West Bow, Edinburgh, Scotland, in 1798, as the namesake of its founder. It is a subsidiary of HarperCollins, the publishing unit of News Corp. It describes itself as a "world leading publisher and provider of Christian content". Its most successful title to date is '' Heaven Is for Real''. In Canada, the Nelson imprint is used for educational publishing. In the United Kingdom, it was an independent publisher until 1962, and later became part of the educational imprint Nelson Thornes. British history Thomas Nelson Sr. founded the shop that bears his name in Edinburgh in 1798, originally as a second-hand bookshop at 2 West Bow, just off the city's Grassmarket, recognizing a ready market for inexpensive, standard editions of non-copyright works, which he attempted to satisfy by publishing reprints of classics. By 1822, the shop had moved to 9 West Bow, and a second shop had opened at 230 High Street, on the Royal Mile. In 1835, ...
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University Of Idaho
The University of Idaho (U of I, or UIdaho) is a public land-grant research university in Moscow, Idaho. It is the state's land-grant and primary research university,, and the lead university in the Idaho Space Grant Consortium. The University of Idaho was the state's sole university for 71 years, until 1963. Its College of Law, established in 1909, was first accredited by the American Bar Association in 1925. Formed by the Idaho Territory legislature on January 30, 1889, the university opened its doors in 1892 on October 3, with an initial class of 40 students. The first graduating class in 1896 contained two men and two women. It has an enrollment exceeding 12,000, with over 11,000 on the Moscow campus. The university offers 142 degree programs, from accountancy to wildlife resources, including bachelor's, master's, doctoral, and specialists' degrees, and accompanyinhonors programs Certificates of completion are offered in 30 areas of study. At 25% and 53%, its 4 and 6 y ...
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Phi Kappa Phi
The Honor Society of Phi Kappa Phi (or simply Phi Kappa Phi or ) is an honor society established in 1897 to recognize and encourage superior scholarship without restriction as to area of study, and to promote the "unity and democracy of education". It is the fourth academic society in the United States to be organized around recognizing academic excellence, Earlier honor societies were Phi Beta Kappa for the arts and sciences (1776), Tau Beta Pi for engineering (1885), and Sigma Xi for scientific research (1886). and it is the oldest all-discipline honor society. The society's motto is (''Philosophía Krateítõ Phõtôn''), which is translated as "Let the love of learning rule humanity", and its mission is "to recognize and promote academic excellence in all fields of higher education and to engage the community of scholars in service to others." It is a member of the Association of College Honor Societies#Former members, Honor Society Caucus, which is composed of four honor s ...
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Pi Mu Epsilon
Pi Mu Epsilon ( or ) is the U.S. honorary national mathematics society. The society was founded at Syracuse University on , by Professor Edward Drake Roe, Jr, and currently has chapters at 371 institutions across the US. Goals Pi Mu Epsilon is dedicated to the promotion of mathematics and recognition of students who successfully pursue mathematical understanding. To promote mathematics, the National Pi Mu Epsilon Council co-sponsors an annual conference in conjunction with the Mathematical Association of America. The society also publishes a semi-annual journal, the ''Pi Mu Epsilon Journal'', which both presents research papers particularly focusing on student authored papers, as well as a problem section. The Richard V. Andree Awards are given by the organization to undergraduates whose articles in the Journal have been judged as containing the best content for the year. Andree served as the editor of the journal, as well as President and Secretary-Treasurer of the organizatio ...
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Phi Eta Sigma
Phi Eta Sigma () is an American freshman honor society. Founded at the University of Illinois on March 22, 1923, it is the oldest and largest freshman honor society and has chartered three hundred and eighty-six chapters throughout the United States and inducted more than 1,250,000 members since its founding. Eligibility Any first-year student with a GPA of at least 3.5 on a 4.0 scale at the end of a full curricular period is eligible for membership, provided that student has taken normal academic coursework. Once inducted, membership is conferred for life, and members are not required to maintain a 3.5 GPA. At certain universities, including Emory University, the minimum GPA is a 3.9 on a 4.0 scale. Scholarships Annually, Phi Eta Sigma provides $300,000 total in scholarships to members across the country. There are $1,000 awards and $5,000 scholarships for undergraduate study, as well as $7,000 scholarships for the first year of graduate study. Members of Phi Eta Sigma must app ...
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University Of Wyoming
The University of Wyoming (UW) is a public land-grant research university in Laramie, Wyoming. It was founded in March 1886, four years before the territory was admitted as the 44th state, and opened in September 1887. The University of Wyoming is unusual in that its location within the state is written into the state's constitution. The university also offers outreach education in communities throughout Wyoming and online. The University of Wyoming consists of seven colleges: agriculture and natural resources, arts and sciences, business, education, engineering and applied sciences, health sciences, and law. The university offers over 120 undergraduate, graduate and certificate programs including Doctor of Pharmacy and Juris Doctor. It is classified among "R2: Doctoral Universities – High research activity". In addition to on-campus classes in Laramie, the university's Outreach School offers more than 41 degree, certificate and endorsement programs to distance learners ...
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Association For Computational Linguistics
The Association for Computational Linguistics (ACL) is a scientific and professional organization for people working on natural language processing. Its namesake conference is one of the primary high impact conferences for natural language processing research, along with EMNLP. The conference is held each summer in locations where significant computational linguistics research is carried out. It was founded in 1962, originally named the Association for Machine Translation and Computational Linguistics (AMTCL). It became the ACL in 1968. The ACL has a European ( EACL), a North American (NAACL), and an Asian (AACL) chapter. History The ACL was founded in 1962 as the Association for Machine Translation and Computational Linguistics (AMTCL). The initial membership was about 100. In 1965 the AMTCL took over the journal ''Mechanical Translation and Computational Linguistics''. This journal was succeeded by many other journals: ''American Journal of Computational Linguistics'' (1974— ...
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Association For Computing Machinery
The Association for Computing Machinery (ACM) is a US-based international learned society for computing. It was founded in 1947 and is the world's largest scientific and educational computing society. The ACM is a non-profit professional membership group, claiming nearly 110,000 student and professional members . Its headquarters are in New York City. The ACM is an umbrella organization for academic and scholarly interests in computer science ( informatics). Its motto is "Advancing Computing as a Science & Profession". History In 1947, a notice was sent to various people: On January 10, 1947, at the Symposium on Large-Scale Digital Calculating Machinery at the Harvard computation Laboratory, Professor Samuel H. Caldwell of Massachusetts Institute of Technology spoke of the need for an association of those interested in computing machinery, and of the need for communication between them. ..After making some inquiries during May and June, we believe there is ample interest to ...
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Air Force Cambridge Research Laboratory
The Air Force Research Laboratory (AFRL) is a scientific research organization operated by the United States Air Force Air Force Materiel Command, Materiel Command dedicated to leading the discovery, development, and integration of aerospace warfighting technologies, planning and executing the Air Force science and technology program, and providing warfighting capabilities to United States air, space, and cyberspace forces. It controls the entire Air Force science and technology research budget which was $2.4 billion in 2006. The Laboratory was formed at Wright-Patterson Air Force Base near Dayton, Ohio, on 31 October 1997 as a consolidation of four Air Force laboratory facilities (Wright, Phillips, Rome, and Armstrong) and the Air Force Office of Scientific Research under a unified command. The Laboratory is composed of eight technical directorates, one wing, and the Office of Scientific Research. Each technical directorate emphasizes a particular area of research within ...
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