Download the app
educalingo
Search

Meaning of "De Morgan's laws" in the English dictionary

Dictionary
DICTIONARY
section

ETYMOLOGY OF THE WORD DE MORGAN'S LAWS

Named after Augustus De Morgan (1806–71), British mathematician.
info
Etymology is the study of the origin of words and their changes in structure and significance.
facebooktwitterpinterestwhatsapp
section

PRONUNCIATION OF DE MORGAN'S LAWS

De Morgan's laws play
facebooktwitterpinterestwhatsapp

GRAMMATICAL CATEGORY OF DE MORGAN'S LAWS

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
De Morgan's laws is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES DE MORGAN'S LAWS MEAN IN ENGLISH?

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. The rules allow the expression of conjunctions and disjunctions purely in terms of each other via negation. The rules can be expressed in English as: The negation of a conjunction is the disjunction of the negations. The negation of a disjunction is the conjunction of the negations. or informally as: "not " is the same as " or " and also, "not " is the same as " and " The rules can be expressed in formal language with two propositions P and Q as: where: ▪ ¬ is the negation operator ▪ is the conjunction operator ▪ is the disjunction operator ▪ ⇔ is a metalogical symbol meaning "can be replaced in a logical proof with" Applications of the rules include simplification of logical expressions in computer programs and digital circuit designs. De Morgan's laws are an example of a more general concept of mathematical duality.

Definition of De Morgan's laws in the English dictionary

The definition of De Morgan's laws in the dictionary is the principles that conjunction and disjunction, or union and intersection, are dual. Thus the negation of P & Q is equivalent to not-P or not-Q.

WORDS THAT BEGIN LIKE DE MORGAN'S LAWS

De La Warr
de Lesseps
de los Angeles
de luxe
De Mille
de Molina
De Niro
de novo
de profundis
De Quincey
de re
de rigueur
de Sica
De Soto
De Stijl
de trop
de Valera
de Valois
De Vries

WORDS THAT END LIKE DE MORGAN'S LAWS

blue laws
consolidated laws
excise laws
game laws
gaming laws
gas laws
gun control laws
gun laws
immigration laws
in-laws
Kepler´s laws
Kirchhoff´s laws
Magdeburg laws
Mendel´s laws
navigation laws
sus laws
suss laws

Synonyms and antonyms of De Morgan's laws in the English dictionary of synonyms

SYNONYMS

Translation of «De Morgan's laws» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF DE MORGAN'S LAWS

Find out the translation of De Morgan's laws to 25 languages with our English multilingual translator.
The translations of De Morgan's laws from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «De Morgan's laws» in English.

Translator English - Chinese

德·摩根定律
1,325 millions of speakers

Translator English - Spanish

Leyes de De Morgan
570 millions of speakers

English

De Morgan´s laws
510 millions of speakers

Translator English - Hindi

डी मॉर्गन के कानूनों
380 millions of speakers
ar

Translator English - Arabic

قوانين دي مورجان
280 millions of speakers

Translator English - Russian

Законы Де Моргана
278 millions of speakers

Translator English - Portuguese

Leis de De Morgan
270 millions of speakers

Translator English - Bengali

ডি মরগান এর আইন
260 millions of speakers

Translator English - French

Les lois de De Morgan
220 millions of speakers

Translator English - Malay

Undang-undang De Morgan
190 millions of speakers

Translator English - German

De Morgan Gesetze
180 millions of speakers

Translator English - Japanese

ド·モルガンの法則
130 millions of speakers

Translator English - Korean

올린 사람 모건 의 법칙
85 millions of speakers

Translator English - Javanese

Hukum Morgan
85 millions of speakers
vi

Translator English - Vietnamese

Luật de Morgan
80 millions of speakers

Translator English - Tamil

டி மோர்கன் சட்டங்கள்
75 millions of speakers

Translator English - Marathi

डी मॉर्गनचे कायदे
75 millions of speakers

Translator English - Turkish

De Morgan´ın kanunları
70 millions of speakers

Translator English - Italian

Leggi di De Morgan
65 millions of speakers

Translator English - Polish

Prawa de Morgana
50 millions of speakers

Translator English - Ukrainian

Закони Де Моргана
40 millions of speakers

Translator English - Romanian

Legile De Morgan
30 millions of speakers
el

Translator English - Greek

Νόμους του De Morgan
15 millions of speakers
af

Translator English - Afrikaans

De Morgan se wette
14 millions of speakers
sv

Translator English - Swedish

De Morgans lagar
10 millions of speakers
no

Translator English - Norwegian

De Morgans lover
5 millions of speakers

Trends of use of De Morgan's laws

TRENDS

TENDENCIES OF USE OF THE TERM «DE MORGAN'S LAWS»

The term «De Morgan's laws» is used very little and occupies the 176.097 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Rarely used
18
/100
The map shown above gives the frequency of use of the term «De Morgan's laws» in the different countries.
Principal search tendencies and common uses of De Morgan's laws
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «De Morgan's laws».

FREQUENCY OF USE OF THE TERM «DE MORGAN'S LAWS» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «De Morgan's laws» during the past 500 years. Its implementation is based on analysing how often the term «De Morgan's laws» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about De Morgan's laws

EXAMPLES

10 ENGLISH BOOKS RELATING TO «DE MORGAN'S LAWS»

Discover the use of De Morgan's laws in the following bibliographical selection. Books relating to De Morgan's laws and brief extracts from same to provide context of its use in English literature.
1
Higher Engineering Mathematics
The application of de Morgan's laws in simplifying Boolean expressions is shown in Problems 12 and 13. Problem 11. Verify that A + B = A· B A Boolean expression may be verified by using a truth table. In Table 11.8, columns 1 and 2 give all ...
John Bird,, 2014
2
Engineering Mathematics
Simplify the Boolean expression (A- B) + (A+ B) by using de Morgan's laws and the rules of Boolean algebra Applying de Morgan's law to the first term gives: -B:A +B: A+B sinceXI A > Applying de Morgan's law to the second term gives: x+BIi.
J. O. Bird, 2010
3
Probability: Probability, de Morgan's Laws, Stein's Method, ...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online.
Books, LLC, General Books LLC, 2010
4
Engineering Mathematics Pocket Book
De Morgan's laws state that: AB. and A.B AB AB Application: Simplify the Boolean expression A.B A B by using de Morgan's laws and the rules of Boolean algebra Applying de Morgan's law to the first term gives: A.BABAB since AA Applying de ...
John Bird, 2008
5
Discrete Mathematics and Its Applications 7th edition:
EXAMPLE 20 EXAMPLE 21 TABLE 2 De Morgan's Laws for Quantifiers. Negation Equivalent Statement When Is Negation True? When False? ¬∃xP(x) ∀x¬P(x) For every x, P(x) is false. There is an x for which P(x) is true. ¬∀xP(x) ∃ x¬P(x) ...
Kenneth Rosen, 2011
6
Fundamentals of Computer Science Using Java
The meaning of the two expressions is the same in Java. de Morgan's laws. Before we leave boolean operators, there is one last issue to discuss: de Morgan's laws, named after the logician de Morgan who first described them. These define ...
David Hughes, 2002
7
Foundations of Intelligent Systems: 12th International ...
If let N=3,that is three valued, then we can get the result shown in Table 6. In this case the truth table is decided uniquely at the axiom [1-2], which means that we cannot decide [9-1]De Morgan's laws is independent or not from the other axioms  ...
Zbigniew W. Ras, Setsuo Ohsuga, 2000
8
Understanding Engineering Mathematics
Simplify the Boolean expression (A~ B) + (A+ B) by using de Morgan's laws and the rules of Boolean algebra Applying de Morgan's law to the first term gives: Removing the bracket and reordering gives: A + A 3+8 But, by rule 15, Table 26.7 , ...
John Bird, 2013
9
Newnes Engineering Mathematics Pocket Book
De Morgan 's laws De Morgan's laws may be used to simplify not-functions having two or more elements. The laws state that: A+—B=A.B| and |A.B I >| +B and may be verified by using a truth table. For example, to simplify the Boolean ...
J. O. Bird, 2001
10
A Transition to Advanced Mathematics : A Survey Course: A ...
Recall that De Morgan's laws are among the most important identities from sentential logic; consider the following set-theoretic version of these identities. Example 2.1.8 De Morgan's laws for sets We prove one of De Morgan's laws for sets: IfA ...
William Johnston Associate Dean of the College and Stodghill Professor of Mathematics Centre College, Alex McAllister Associate Professor of Mathematics Centre College, 2009

2 NEWS ITEMS WHICH INCLUDE THE TERM «DE MORGAN'S LAWS»

Find out what the national and international press are talking about and how the term De Morgan's laws is used in the context of the following news items.
1
Law, Logic, and the Tendency to Overcomplicate
I'm not buying Goldfarb's application of De Morgan's laws in any of this. If they really were involved, where are the parentheses? De Morgan's ... «American Thinker, Mar 14»
2
Ada Lovelace, The First Programmer
You might remember De Morgan's laws if you have ever had to study Boolean logic so presumably Ada had to suffer the same course that ... «iProgrammer, Jan 10»

REFERENCE
« EDUCALINGO. De Morgan's laws [online]. Available <https://educalingo.com/en/dic-en/de-morgans-laws>. Apr 2024 ».
Download the educalingo app
en
English dictionary
Discover all that is hidden in the words on
index
a b c d e f g h i j k l m n o p q r s t u v w x y z