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

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Property / Symbols used
 
Property / Symbols used: Q10760 / rank
 
Normal rank
Property / Symbols used: Q10760 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q10760 / qualifier
 
xml-id: C1.S1.XMD1.m1adec
Property / Symbols used
 
Property / Symbols used: Q10791 / rank
 
Normal rank
Property / Symbols used: Q10791 / qualifier
 
test:

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

\mathbf{i}
Property / Symbols used: Q10791 / qualifier
 
xml-id: C1.S6.XMD2.m1fdec
Property / Symbols used
 
Property / Symbols used: Q10792 / rank
 
Normal rank
Property / Symbols used: Q10792 / qualifier
 
test:

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

\mathbf{j}
Property / Symbols used: Q10792 / qualifier
 
xml-id: C1.S6.XMD3.m1fdec
Property / Symbols used
 
Property / Symbols used: Q10793 / rank
 
Normal rank
Property / Symbols used: Q10793 / qualifier
 
test:

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

\mathbf{k}
Property / Symbols used: Q10793 / qualifier
 
xml-id: C1.S6.XMD4.m1fdec

Latest revision as of 14:58, 1 January 2020

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

    Statements

    test
    grad f = ∇ ⁡ f = ∂ ⁡ f ∂ ⁡ x ⁢ 𝐢 + ∂ ⁡ f ∂ ⁡ y ⁢ 𝐣 + ∂ ⁡ f ∂ ⁡ z ⁢ 𝐤 . 𝑓 ∇ 𝑓 partial-derivative 𝑓 𝑥 𝐢 partial-derivative 𝑓 𝑦 𝐣 partial-derivative 𝑓 𝑧 𝐤 {\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 used
    partial derivative of $$f$$ with respect to $$x$$
    test
    ∂ ⁡ f ∂ ⁡ x partial-derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
    xml-id
    C1.S5.E3.m4aadec
    0 references
    partial differential of $$x$$
    test
    ∂ ⁡ x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}}
    xml-id
    C1.S5.E3.m2aadec
    0 references
    Q10760
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C1.S1.XMD1.m1adec
    0 references
    Q10791
    test
    𝐢 𝐢 {\displaystyle{\displaystyle\mathbf{i}}}
    xml-id
    C1.S6.XMD2.m1fdec
    0 references
    Q10792
    test
    𝐣 𝐣 {\displaystyle{\displaystyle\mathbf{j}}}
    xml-id
    C1.S6.XMD3.m1fdec
    0 references
    Q10793
    test
    𝐤 𝐤 {\displaystyle{\displaystyle\mathbf{k}}}
    xml-id
    C1.S6.XMD4.m1fdec
    0 references
     
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