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Karnaugh map

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The Karnaugh map (KM or K-map) is a method of simplifying Boolean algebra expressions. [1]

59 relations: Algebraic normal form, Allan Marquand, American Institute of Electrical Engineers, AND gate, Anglicism, Antonín Svoboda, Association for Computing Machinery, Bavarian Academy of Sciences and Humanities, Benjamin Cummings, Birkhäuser, Boolean algebra, Canonical normal form, Carl Hanser Verlag, Conditional (computer programming), Conjunctive normal form, Consensus theorem, David Van Nostrand, De Morgan's laws, Disjunctive normal form, Don't-care term, Dover Publications, Edward W. Veitch, EE Times, Espresso heuristic logic minimizer, Friedrich L. Bauer, Garland Science, Gray code, Harvard University, Harvard University Press, Howard H. Aiken, Implicant, John Wiley & Sons, Karnaugh map, List of Boolean algebra topics, Logic optimization, Logic redundancy, Maurice Karnaugh, OR gate, Philosophical Magazine, Prentice Hall, Punnett square, Quine–McCluskey algorithm, Race condition, Reed–Muller expansion, RWTH Aachen University, Saarland University, Samuel H. Caldwell, Springer Science+Business Media, Springer Vieweg Verlag, Technische Universität Darmstadt, ..., Torus, Truth table, University of Erlangen-Nuremberg, University of Texas at Dallas, University of Texas at Dallas academic programs, Venn diagram, Walter de Gruyter, Wolfgang Händler, Zhegalkin polynomial. Expand index (9 more) »

Algebraic normal form

In Boolean algebra, the algebraic normal form (ANF), ring sum normal form (RSNF or RNF), Zhegalkin normal form, or Reed–Muller expansion is a way of writing logical formulas in one of three subforms.

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Allan Marquand

Allan Marquand (1853–1924) was an art historian at Princeton University and a curator of the Princeton University Art Museum.

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American Institute of Electrical Engineers

The American Institute of Electrical Engineers (AIEE) was a United States-based organization of electrical engineers that existed from 1884 through 1962.

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AND gate

The AND gate is a basic digital logic gate that implements logical conjunction - it behaves according to the truth table to the right.

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Anglicism

An Anglicism is a word or construction borrowed from English into another language.

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Antonín Svoboda

Antonín Svoboda (1907–1980) was a Czech computer scientist, mathematician, electrical engineer, and researcher.

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Association for Computing Machinery

The Association for Computing Machinery (ACM) is an international learned society for computing.

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Bavarian Academy of Sciences and Humanities

The Bavarian Academy of Sciences and Humanities (Bayerische Akademie der Wissenschaften) is an independent public institution, located in Munich.

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Benjamin Cummings

Benjamin Cummings specializes in science and is a publishing imprint of Pearson Education, the world's largest education publishing and technology company, which is part of Pearson PLC, the global publisher and former owner of Penguin Books and the Financial Times.

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Birkhäuser

Birkhäuser is a former Swiss publisher founded in 1879 by Emil Birkhäuser.

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Boolean algebra

In mathematics and mathematical logic, Boolean algebra is the branch of algebra in which the values of the variables are the truth values true and false, usually denoted 1 and 0 respectively.

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Canonical normal form

In Boolean algebra, any Boolean function can be put into the canonical disjunctive normal form (CDNF) or minterm canonical form and its dual canonical conjunctive normal form (CCNF) or maxterm canonical form.

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Carl Hanser Verlag

The Carl Hanser Verlag was founded in 1928 by Carl Hanser in Munich and is one of the few medium-sized publishing companies in the German-speaking area still owned by the founding family.

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Christmas

Christmas is an annual festival commemorating the birth of Jesus Christ,Martindale, Cyril Charles.

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Christmas and holiday season

The Christmas season, also called the festive season, or the holiday season (mainly in the U.S. and Canada; often simply called the holidays),, is an annually recurring period recognized in many Western and Western-influenced countries that is generally considered to run from late November to early January.

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Christmas Eve

Christmas Eve is the evening or entire day before Christmas Day, the festival commemorating the birth of Jesus.

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Christmas traditions

Christmas traditions vary from country to country.

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Conditional (computer programming)

In computer science, conditional statements, conditional expressions and conditional constructs are features of a programming language, which perform different computations or actions depending on whether a programmer-specified boolean condition evaluates to true or false.

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Conjunctive normal form

In Boolean logic, a formula is in conjunctive normal form (CNF) or clausal normal form if it is a conjunction of one or more clauses, where a clause is a disjunction of literals; otherwise put, it is an AND of ORs.

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Consensus theorem

"+".

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David Van Nostrand

David Van Nostrand (December 5, 1811, New York City – June 14, 1886, New York City) was a New York City publisher.

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De Morgan's laws

In propositional logic and boolean algebra, De Morgan's laws are a pair of transformation rules that are both valid rules of inference.

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Disjunctive normal form

In boolean logic, a disjunctive normal form (DNF) is a standardization (or normalization) of a logical formula which is a disjunction of conjunctive clauses; it can also be described as an OR of ANDs, a sum of products, or (in philosophical logic) a cluster concept.

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Don't-care term

In digital logic, a don't-care term for a function is an input-sequence (a series of bits) for which the function output does not matter.

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Dover Publications

Dover Publications, also known as Dover Books, is an American book publisher founded in 1941 by Hayward Cirker and his wife, Blanche.

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Edward W. Veitch

Edward W. Veitch (November 4, 1924 – December 23, 2013) was an American computer scientist.

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EE Times

EE Times (Electronic Engineering Times) is an online electronics industry magazine published in the United States by AspenCore Media an Arrow Electronics company.

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Espresso heuristic logic minimizer

The Espresso logic minimizer is a computer program using heuristic and specific algorithms for efficiently reducing the complexity of digital electronic gate circuits.

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Friedrich L. Bauer

Friedrich Ludwig "Fritz" Bauer (10 June 1924 – 26 March 2015) was a German computer scientist and professor at the Technical University of Munich.

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Garland Science

Garland Science is a publishing group that specializes in developing textbooks in a wide range of life sciences subjects, including cell and molecular biology, immunology, protein chemistry, genetics, and bioinformatics.

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Gray code

The reflected binary code (RBC), also known just as reflected binary (RB) or Gray code after Frank Gray, is an ordering of the binary numeral system such that two successive values differ in only one bit (binary digit).

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Harvard University

Harvard University is a private Ivy League research university in Cambridge, Massachusetts.

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Harvard University Press

Harvard University Press (HUP) is a publishing house established on January 13, 1913, as a division of Harvard University, and focused on academic publishing.

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Howard H. Aiken

Howard Hathaway Aiken (March 8, 1900 – March 14, 1973) was an American physicist and a pioneer in computing, being the original conceptual designer behind IBM's Harvard Mark I computer.

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Implicant

In Boolean logic, an implicant is a "covering" (sum term or product term) of one or more minterms in a sum of products (or maxterms in product of sums) of a Boolean function.

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John Wiley & Sons

John Wiley & Sons, Inc., also referred to as Wiley, is a global publishing company that specializes in academic publishing.

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Karnaugh map

The Karnaugh map (KM or K-map) is a method of simplifying Boolean algebra expressions.

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List of Boolean algebra topics

This is a list of topics around Boolean algebra and propositional logic.

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Logic optimization

Logic optimization, a part of logic synthesis in electronics, is the process of finding an equivalent representation of the specified logic circuit under one or more specified constraints.

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Logic redundancy

Logic redundancy occurs in a digital gate network containing circuitry that does not affect the static logic function.

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Maurice Karnaugh

Maurice Karnaugh (born October 4, 1924) is an American physicist and mathematician known for the Karnaugh map used in Boolean algebra.

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New Year

New Year is the time or day at which a new calendar year begins and the calendar's year count increments by one.

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New Year's Day

New Year's Day, also called simply New Year's or New Year, is observed on January 1, the first day of the year on the modern Gregorian calendar as well as the Julian calendar.

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New Year's Eve

In the Gregorian calendar, New Year's Eve (also known as Old Year's Day or Saint Sylvester's Day in many countries), the last day of the year, is on 31 December which is the seventh day of Christmastide.

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OR gate

The OR gate is a digital logic gate that implements logical disjunctionit behaves according to the truth table to the right.

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Philosophical Magazine

The Philosophical Magazine is one of the oldest scientific journals published in English.

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Prentice Hall

Prentice Hall is a major educational publisher owned by Pearson plc.

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Punnett square

The Punnett square is a square diagram that is used to predict an outcome of a particular cross or breeding experiment.

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Quine–McCluskey algorithm

The Quine–McCluskey algorithm (or the method of prime implicants) is a method used for minimization of Boolean functions that was developed by Willard V. Quine and extended by Edward J. McCluskey.

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Race condition

A race condition or race hazard is the behavior of an electronics, software, or other system where the output is dependent on the sequence or timing of other uncontrollable events.

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Reed–Muller expansion

In Boolean logic, a Reed–Muller expansion (or Davio expansion) is a decomposition of a Boolean function.

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RWTH Aachen University

RWTH Aachen University or Rheinisch-Westfälische Technische Hochschule AachenRWTH is the abbreviation of Rheinisch-Westfälische Technische Hochschule, which translates into "Rheinish-Westphalian Technical University".

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Saarland University

Saarland University (Universität des Saarlandes) is a modern research university located in Saarbrücken, the capital of the German state of Saarland.

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Samuel H. Caldwell

Samuel Hawks Caldwell (January 15, 1904 – October 12, 1960) was an American electrical engineer, known for his contributions to the early computers.

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Springer Science+Business Media

Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.

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Springer Vieweg Verlag

Springer Vieweg Verlag (formerly known as Vieweg+Teubner Verlag) is a German publishing company that specializes in books on technical subjects.

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Technische Universität Darmstadt

The Technische Universität Darmstadt (unofficially Technical University of Darmstadt or Darmstadt University of Technology), commonly referred to as TU Darmstadt, is a research university in the city of Darmstadt, Germany.

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Torus

In geometry, a torus (plural tori) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis coplanar with the circle.

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Truth table

A truth table is a mathematical table used in logic—specifically in connection with Boolean algebra, boolean functions, and propositional calculus—which sets out the functional values of logical expressions on each of their functional arguments, that is, for each combination of values taken by their logical variables (Enderton, 2001).

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University of Erlangen-Nuremberg

Friedrich-Alexander University Erlangen-Nürnberg (Friedrich-Alexander-Universität Erlangen-Nürnberg, FAU) is a public research university in the cities of Erlangen and Nuremberg in Bavaria, Germany.

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University of Texas at Dallas

The University of Texas at Dallas (UTD or UT Dallas) is a public research university in the University of Texas System.

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University of Texas at Dallas academic programs

The University of Texas at Dallas (also referred to as UT Dallas or UTD) is a public research university in the University of Texas System.

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Venn diagram

A Venn diagram (also called primary diagram, set diagram or logic diagram) is a diagram that shows all possible logical relations between a finite collection of different sets.

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Walter de Gruyter

Walter de Gruyter GmbH (or; brand name: De Gruyter) is a scholarly publishing house specializing in academic literature.

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Wolfgang Händler

Wolfgang Händler (11 December 1920 – 19 February 1998) was a German mathematician, pioneering computer scientist and professor at the University of Hannover (Lehrstuhl für elektronische Rechenanlagen) and University of Erlangen-Nürnberg (Institut für Mathematische Maschinen und Datenverarbeitung) known for his work on automata theory, parallel computing, artificial intelligence, man-machine interfaces and computer graphics.

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Zhegalkin polynomial

Zhegalkin (also Žegalkin, Gégalkine or Shegalkin) polynomials form one of many possible representations of the operations of Boolean algebra.

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2018

2018 has been designated as the third International Year of the Reef by the International Coral Reef Initiative.

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2019

2019 (MMXIX) will be a common year starting on Tuesday of the Gregorian calendar, the 2019th year of the Common Era (CE) and Anno Domini (AD) designations, the 19th year of the 3rd millennium, the 19th year of the 21st century, and the 10th and last year of the 2010s decade.

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References

[1] https://en.wikipedia.org/wiki/Karnaugh_map

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