DLMF:1.6.E20 (Q201): Difference between revisions

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Revision as of 15:52, 30 December 2019 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Wikidata Toolkit example test statement addition ← Older edit		Latest revision as of 15:58, 1 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
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		Property / Symbols used
			partial derivative of $$f$$ with respect to $$x$$
		Property / Symbols used: partial derivative of $$f$$ with respect to $$x$$ / rank
			Normal rank
		Property / Symbols used: partial derivative of $$f$$ with respect to $$x$$ / qualifier
			Defining formula: ${\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}$ \pderiv{\NVar{f}}{\NVar{x}}
		Property / Symbols used: partial derivative of $$f$$ with respect to $$x$$ / qualifier
			xml-id: C1.S5.E3.m4aadec
		Property / Symbols used
			partial differential of $$x$$
		Property / Symbols used: partial differential of $$x$$ / rank
			Normal rank
		Property / Symbols used: partial differential of $$x$$ / qualifier
			Defining formula: ${\displaystyle{\displaystyle\partial\NVar{x}}}$ \pdiff{\NVar{x}}
		Property / Symbols used: partial differential of $$x$$ / qualifier
			xml-id: C1.S5.E3.m2aadec
		Property / Symbols used
			Q10760
		Property / Symbols used: Q10760 / rank
			Normal rank
		Property / Symbols used: Q10760 / qualifier
			Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q10760 / qualifier
			xml-id: C1.S1.XMD1.m1adec
		Property / Symbols used
			Q10791
		Property / Symbols used: Q10791 / rank
			Normal rank
		Property / Symbols used: Q10791 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathbf{i}}}$ \mathbf{i}
		Property / Symbols used: Q10791 / qualifier
			xml-id: C1.S6.XMD2.m1fdec
		Property / Symbols used
			Q10792
		Property / Symbols used: Q10792 / rank
			Normal rank
		Property / Symbols used: Q10792 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathbf{j}}}$ \mathbf{j}
		Property / Symbols used: Q10792 / qualifier
			xml-id: C1.S6.XMD3.m1fdec
		Property / Symbols used
			Q10793
		Property / Symbols used: Q10793 / rank
			Normal rank
		Property / Symbols used: Q10793 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathbf{k}}}$ \mathbf{k}
		Property / Symbols used: Q10793 / qualifier
			xml-id: C1.S6.XMD4.m1fdec

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Latest revision as of 15:58, 1 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:1.6.E20	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\operatorname{grad}f=\nabla f=\frac{\partial f}{\partial x}\mathbf{i}+\frac{\partial f}{\partial y}\mathbf{j}+\frac{\partial f}{\partial z}\mathbf{k}.}}$

0 references

DLMF id

DLMF:1.6.E20

0 references

Symbols defined

gradient of differentiable scalar function

0 references

Symbols used

partial derivative of $$f$$ with respect to $$x$$

Defining formula

${\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}$

xml-id

C1.S5.E3.m4aadec

0 references

partial differential of $$x$$

Defining formula

${\displaystyle{\displaystyle\partial\NVar{x}}}$

xml-id

C1.S5.E3.m2aadec

0 references

Q10760

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C1.S1.XMD1.m1adec

0 references

Q10791

Defining formula

${\displaystyle{\displaystyle\mathbf{i}}}$

xml-id

C1.S6.XMD2.m1fdec

0 references

Q10792

Defining formula

${\displaystyle{\displaystyle\mathbf{j}}}$

xml-id

C1.S6.XMD3.m1fdec

0 references

Q10793

Defining formula

${\displaystyle{\displaystyle\mathbf{k}}}$

xml-id

C1.S6.XMD4.m1fdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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