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Meaning of "symmetric difference" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF SYMMETRIC DIFFERENCE

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WHAT DOES SYMMETRIC DIFFERENCE MEAN IN ENGLISH?

Symmetric difference

In mathematics, the symmetric difference of two sets is the set of elements which are in either of the sets and not in their intersection. The symmetric difference of the sets A and B is commonly denoted by or or For example, the symmetric difference of the sets and is. The symmetric difference of the set of all students and the set of all females consists of all male students together with all female non-students. The power set of any set becomes an abelian group under the operation of symmetric difference, with the empty set as the neutral element of the group and every element in this group being its own inverse. The power set of any set becomes a Boolean ring with symmetric difference as the addition of the ring and intersection as the multiplication of the ring.

WORDS THAT BEGIN LIKE SYMMETRIC DIFFERENCE

symbolography
symbology
symbololatry
symmetalism
symmetallic
symmetallism
symmetral
symmetrian
symmetric
symmetric matrix
symmetrical
symmetrically
symmetricalness
symmetries
symmetrisation
symmetrise
symmetrization
symmetrize
symmetrophobia
symmetry

WORDS THAT END LIKE SYMMETRIC DIFFERENCE

abhorrence
adherence
at your convenience
circumference
clarence
concurrence
conference
difference
Florence
inference
interference
Laurence
Lawrence
make a difference
occurrence
preference
press conference
reference
Terence
transparence
with a difference

Synonyms and antonyms of symmetric difference in the English dictionary of synonyms

SYNONYMS

Translation of «symmetric difference» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF SYMMETRIC DIFFERENCE

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

Translator English - Chinese

对称差
1,325 millions of speakers

Translator English - Spanish

diferencia simétrica
570 millions of speakers

English

symmetric difference
510 millions of speakers

Translator English - Hindi

सममित अंतर
380 millions of speakers
ar

Translator English - Arabic

الفرق متماثل
280 millions of speakers

Translator English - Russian

симметрическая разность
278 millions of speakers

Translator English - Portuguese

diferença simétrica
270 millions of speakers

Translator English - Bengali

সমান্ত্রিক পার্থক্য
260 millions of speakers

Translator English - French

différence symétrique
220 millions of speakers

Translator English - Malay

Perbezaan simetri
190 millions of speakers

Translator English - German

symmetrische Differenz
180 millions of speakers

Translator English - Japanese

対称差
130 millions of speakers

Translator English - Korean

대칭 차이
85 millions of speakers

Translator English - Javanese

Prabédan simetris
85 millions of speakers
vi

Translator English - Vietnamese

sự khác biệt đối xứng
80 millions of speakers

Translator English - Tamil

சமச்சீர் வேறுபாடு
75 millions of speakers

Translator English - Marathi

सममितीय फरक
75 millions of speakers

Translator English - Turkish

Simetrik fark
70 millions of speakers

Translator English - Italian

differenza simmetrica
65 millions of speakers

Translator English - Polish

różnica symetryczna
50 millions of speakers

Translator English - Ukrainian

симетрична різниця
40 millions of speakers

Translator English - Romanian

diferență simetrică
30 millions of speakers
el

Translator English - Greek

συμμετρική διαφορά
15 millions of speakers
af

Translator English - Afrikaans

simmetriese verskil
14 millions of speakers
sv

Translator English - Swedish

symmetrisk differens
10 millions of speakers
no

Translator English - Norwegian

symmetrisk forskjell
5 millions of speakers

Trends of use of symmetric difference

TRENDS

TENDENCIES OF USE OF THE TERM «SYMMETRIC DIFFERENCE»

The term «symmetric difference» is normally little used and occupies the 138.800 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Little used
35
/100
The map shown above gives the frequency of use of the term «symmetric difference» in the different countries.
Principal search tendencies and common uses of symmetric difference
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «symmetric difference».

FREQUENCY OF USE OF THE TERM «SYMMETRIC DIFFERENCE» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «symmetric difference» during the past 500 years. Its implementation is based on analysing how often the term «symmetric difference» 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 symmetric difference

EXAMPLES

10 ENGLISH BOOKS RELATING TO «SYMMETRIC DIFFERENCE»

Discover the use of symmetric difference in the following bibliographical selection. Books relating to symmetric difference and brief extracts from same to provide context of its use in English literature.
1
Similarity and Compatibility in Fuzzy Set Theory: Assessment ...
For crisp sets, the cardinality of the complement of the symmetric difference has classically been used in determining a degree of equivalence or similarity of the sets. With this approach, sets X and Y are deemed completely similar if and only if ...
Valerie V. Cross, Thomas A. Sudkamp, 2002
2
How to Prove It: A Structured Approach
Recall that you showed in exercise 12 of Section 1.4 that symmetric difference is associative; in other words, for all sets A, B, and C, A A (B A C) = (A A B) A C. You may also find it useful in this problem to note that symmetric difference is clearly ...
Daniel J. Velleman, 2006
3
Mastering Algorithms with Perl
The symmetric difference is the commutative cousin of plain old set difference. Symmetric difference involving two sets is equivalent to the complement of their intersection. Generalizing this to more than two sets is a bit odd: the symmetric ...
Jon Orwant, Jarkko Hietaniemi, John Macdonald, 1999
4
Barron's AP Calculus
From a Symmetric Difference Quotient In Example 22 we approximated a derivative numerically from a table of values. We can also estimate f'(a) numerically using the symmetric difference quotient, which is defined as follows: fXa)< f(a + ...
Shirley O. Hockett, David Bock, 2010
5
Discrete Mathematical Structures
(2) I lence from ( I ) and (2), we have A - B = A n B 2.20 SYMMETRIC DIFFERENCE Definition The symmetric difference of two sets A and B is the relative complement An B in A n B . It is denoted by /1AB (or by A®B) Symbolically A A B = {x\x e A ...
G Shanker Rao, 2002
6
XQuery: The XML Query Language
The except operator is asymmetric; to compute the symmetric difference (all nodes that are in either sequence but not both), use one of the two expressions shown in Listing 10.31. Listing 10.31 Two equivalent ways to compute the symmetric ...
Michael Brundage, 2004
7
Principles of Visual Information Retrieval
4.5.4 Area of Overlap and Symmetric Difference Two dissimilarity measures that are based on the area enclosed by the polygons rather than the boundaries, are the area of overlap and the area of symmetric difference. For two compact sets A  ...
Michael S. Lew, 2001
8
Understanding Bioinformatics
independent of the branch lengths. One such measure, called the symmetric difference, is described in Box 8.2. One method of making small differences to a tree is to switch the order of the branches in a procedure known as branch swapping.
Marketa J. Zvelebil, Jeremy O. Baum, 2008
9
Symmetric Properties of Real Functions
By an odd property of a function / we shall mean some property expressed in terms of the odd symmetric difference Ai,f(x,t) and by an even property of a function / we shall mean some property expressed in terms of the even symmetric  ...
Brian thomson, 1994
10
A Graph-Theoretic Approach to Enterprise Network Dynamics
4.6.1 Symmetric Difference One approach to locating regions in the network most affected by topology change is to rank vertices in the order they experienced insertions or deletions of incident edges during the transition from one time interval ...
Horst Bunke, Peter J. Dickinson, Miro Kraetzl, 2007

2 NEWS ITEMS WHICH INCLUDE THE TERM «SYMMETRIC DIFFERENCE»

Find out what the national and international press are talking about and how the term symmetric difference is used in the context of the following news items.
1
MOTD at 50: Jimmy Hill was my man for all seasons
It was one or the other wasn't it? At school, that is. The real "symmetric difference" - the rather vulgar-looking empty "intersection" on a venn diagram between ... «Telegraph.co.uk, Aug 14»
2
Autodesk Announces 2010 Product Releases: Geospatial Highlights
New to AutoCAD Map are the geospatial analysis commands that include intersect, union, erase, identity, clip, paste and symmetric difference analysis. What is ... «DirectionsMag.com, Feb 09»

REFERENCE
« EDUCALINGO. Symmetric difference [online]. Available <https://educalingo.com/en/dic-en/symmetric-difference>. Jul 2020 ».
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