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DISJOINT Definition & Meaning - Merriam-Webster
1. to disturb the orderly structure or arrangement of 2. to take apart at the joints intransitive verb : to come apart at the joints. www.merriam-webster.com
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DISJOINT Definition & Meaning - Dictionary.com
to put out of order; derange. verb (used without object). to come apart. to be dislocated; be out of joint. adjective. Mathematics. www.dictionary.com
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Disjoint sets - Wikipedia
In set theory in mathematics and formal logic, two sets are said to be disjoint sets if they have no element in common. Equivalently, two disjoint sets are ... en.wikipedia.org
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disjoint
▪ I. † disˈjoint, n. Obs. [a. OF. desjointe, disjointe separation, division, rupture (Godef.):—L. type *disjuncta, fem. n. from disjunctus pa. pple., analogous to ns. in -ata, -ada, -ade, F. -ée: see -ade. This takes the place in part of L. disjunctio.] A disjointed or out-of-joint condition; a posi... Oxford English Dictionary
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Disjoint - Definition, Meaning & Synonyms - Vocabulary.com
adjective having no elements in common synonyms: separate independent; not united or joint verb separate at the joints “disjoint the chicken before cooking it” www.vocabulary.com
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2.1.3.2.1 - Disjoint & Independent Events | STAT 200
Disjoint events are events that never occur at the same time. These are also known as mutually exclusive events. These are often visually represented by a ... online.stat.psu.edu
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Disjoint
Disjoint may refer to: Disjoint sets, sets with no common elements Mutual exclusivity, the impossibility of a pair of propositions both being true See also Disjoint union Disjoint-set data structure wikipedia.org
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Disjoint Sets: Definition, Symbol, Examples, Facts - SplashLearn
Disjoint sets are two sets that have no common elements. In other words, their intersection is the empty set. www.splashlearn.com
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disjoint, n. meanings, etymology and more - Oxford English Dictionary
There is one meaning in OED's entry for the noun disjoint. See 'Meaning & use' for definition, usage, and quotation evidence. This word is now obsolete. www.oed.com
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Disjoint Union -- from Wolfram MathWorld
The disjoint union of two sets A and B is a binary operator that combines all distinct elements of a pair of given sets, while retaining the original set ... mathworld.wolfram.com
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DISJOINT definition in American English - Collins Dictionary
6 senses: 1. to take apart or come apart at the joints 2. to disunite or disjoin 3. to dislocate or become dislocated 4. to end. www.collinsdictionary.com
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Linearly disjoint
One also has: A, B are linearly disjoint over k if and only if subfields of generated by , resp. are linearly disjoint over k. (cf. Tensor product of fields) Suppose A, B are linearly disjoint over k. If , are subalgebras, then and are linearly disjoint over k. wikipedia.org
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Proof of equivalency in disjoint sets. Prove, If A, B, C, and D are sets with |A|=|B| and |C|=|D| and if A and C are disjoint and B and D are disjoint, then |A ∪ C|= |B ∪ D|. Would I start this proof using the defin...
We want to show that $|A\cup C|=|B\cup D|$. Since $|A|=|B|$ and $|C|=|D|$, there are bijections $g:A\to B$ and $h:C\to D$. Define $f:A\cup C\to B\cup D$ as follows: $$ f(x)= \begin{cases} g(x)&\text{if}&x\in A\\\ h(x)&\text{if}&x\in C \end{cases}. $$ Then, $f$ is a bijection since $A\cap C=B\cap D=\...
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Disjoint union
A disjoint union of a family of pairwise disjoint sets is their union. is used for the disjoint union of a family of sets, or the notation for the disjoint union of two sets. wikipedia.org
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Is the empty family of sets pairwise disjoint? „A family of sets is pairwise disjoint or mutually disjoint if every two different sets in the family are disjoint.“ – from Wikipedia article "Disjoint sets" What about ...
Yes, you are right. It is vacuously true. Here's a more detailed explanation of why: In math, either a statement is true, or its negation is true (but not both). That means, for example, either the statement (a) $\forall x \in \emptyset$, $x^{2} = 1$ or its negation, (b) $\exists x \in \emptyset$ su...
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