DLMF:26.18.E1 (Q7984): Difference between revisions

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Revision as of 14:12, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:12, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
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		Property / Symbols used
			Q10785
		Property / Symbols used: Q10785 / rank
			Normal rank
		Property / Symbols used: Q10785 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\setminus}}$ \setminus
		Property / Symbols used: Q10785 / qualifier
			xml-id: introduction.Sx4.p2.t1.r19.m2adec
		Property / Symbols used
			Q10824
		Property / Symbols used: Q10824 / rank
			Normal rank
		Property / Symbols used: Q10824 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\cup}}$ \cup
		Property / Symbols used: Q10824 / qualifier
			xml-id: introduction.Sx4.p1.t1.r28.m2adec
		Property / Symbols used
			Q12176
		Property / Symbols used: Q12176 / rank
			Normal rank
		Property / Symbols used: Q12176 / qualifier
			Defining formula: ${\displaystyle{\displaystyle j}}$ j
		Property / Symbols used: Q12176 / qualifier
			xml-id: C26.S1.XMD3.m1dec
		Property / Symbols used
			Q12172
		Property / Symbols used: Q12172 / rank
			Normal rank
		Property / Symbols used: Q12172 / qualifier
			Defining formula: ${\displaystyle{\displaystyle n}}$ n
		Property / Symbols used: Q12172 / qualifier
			xml-id: C26.S1.XMD6.m1dec
		Property / Symbols used
			Q12228
		Property / Symbols used: Q12228 / rank
			Normal rank
		Property / Symbols used: Q12228 / qualifier
			Defining formula: ${\displaystyle{\displaystyle A_{k}}}$ A_{k}
		Property / Symbols used: Q12228 / qualifier
			xml-id: C26.S18.XMD1.m1dec
		Property / Symbols used
			Q12229
		Property / Symbols used: Q12229 / rank
			Normal rank
		Property / Symbols used: Q12229 / qualifier
			Defining formula: ${\displaystyle{\displaystyle S}}$ S
		Property / Symbols used: Q12229 / qualifier
			xml-id: C26.S18.XMD2.m1dec

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Latest revision as of 14:12, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:26.18.E1	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\left|S\setminus(A_{1}\cup A_{2}\cup\cdots\cup A_{n})\right|=\left|S\right|+\sum_{t=1}^{n}(-1)^{t}\sum_{1\leq j_{1}<j_{2}<\cdots<j_{t}\leq n}\left|A_{j_{1}}\cap A_{j_{2}}\cap\cdots\cap A_{j_{t}}\right|.}}$

0 references

DLMF id

DLMF:26.18.E1

0 references

Symbols used

Q12227

Defining formula

${\displaystyle{\displaystyle\left|\NVar{A}\right|}}$

xml-id

C26.S1.p2.t1.r5.m3adec

0 references

Q11965

Defining formula

${\displaystyle{\displaystyle\cap}}$

xml-id

introduction.Sx4.p1.t1.r27.m2adec

0 references

Q10785

Defining formula

${\displaystyle{\displaystyle\setminus}}$

xml-id

introduction.Sx4.p2.t1.r19.m2adec

0 references

Q10824

Defining formula

${\displaystyle{\displaystyle\cup}}$

xml-id

introduction.Sx4.p1.t1.r28.m2adec

0 references

Q12176

Defining formula

${\displaystyle{\displaystyle j}}$

xml-id

C26.S1.XMD3.m1dec

0 references

Q12172

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C26.S1.XMD6.m1dec

0 references

Q12228

Defining formula

${\displaystyle{\displaystyle A_{k}}}$

xml-id

C26.S18.XMD1.m1dec

0 references

Q12229

Defining formula

${\displaystyle{\displaystyle S}}$

xml-id

C26.S18.XMD2.m1dec

0 references

 

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