Levi-Civita symbol
antisymmetric permutation object acting on tensors
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Levi-Civita symbol
Summary
Levi-Civita symbol is a function[1]. It ranks in the top 7% of function entities by monthly Wikipedia readership (583 views/month).[2]
Key Facts
- Levi-Civita symbol's image is recorded as Epsilontensor.svg[3].
- Levi-Civita symbol's instance of is recorded as function[4].
- Tullio Levi-Civita is named after Levi-Civita symbol[5].
- Levi-Civita symbol's Freebase ID is recorded as /m/01bvm8[6].
- Levi-Civita symbol's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[7].
- Levi-Civita symbol's different from is recorded as Levi-Civita connection[8].
- Levi-Civita symbol's defining formula is recorded as \begin{aligned}&\mathrm{\varepsilon}{i_1\dotso i_n} \in {+1,0,-1}\quad\forall i_1,\dotsc,i_n\in{1,\dotsc,n} \ &{i_1,\dotsc,i_n}\ne{1,\dotsc,n} \implies \mathrm{\varepsilon}{i_1,\dotsc,i_n} = 0\ &\mathrm{\varepsilon}{12\dotso n} = +1 \ &\mathrm{\varepsilon}{\dotso kl\dotso} = -\mathrm{\varepsilon}_{\dotso lk\dotso} \end{aligned}[9].
- Levi-Civita symbol's MathWorld ID is recorded as PermutationSymbol[10].
- Levi-Civita symbol's nLab ID is recorded as Levi-Civita symbol[11].
- Levi-Civita symbol's schematic is recorded as Permutation indices 3d numerical.svg[12].
- Levi-Civita symbol's maintained by WikiProject is recorded as WikiProject Mathematics[13].
- Levi-Civita symbol's Microsoft Academic ID is recorded as 42164691[14].
- Levi-Civita symbol's in defining formula is recorded as n[15].
- Levi-Civita symbol's Namuwiki ID is recorded as 레비치비타 기호[16].
- Levi-Civita symbol's ScienceDirect topic ID is recorded as mathematics/levi-civita-symbol[17].
- Levi-Civita symbol's Digital Library of Mathematical Functions ID is recorded as 1.6.E14[18].
Why It Matters
Levi-Civita symbol ranks in the top 7% of function entities by monthly Wikipedia readership (583 views/month).[2] It has Wikipedia articles in 21 language editions, a strong signal of global cultural recognition.[19] It is known by 52 alternative names across languages and contexts.[20]