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CMD berhak atas interpretasi akhir acara ini dan berhak mengubah, menangguhkan, atau membatalkan acara kapan saja.
ε i j ε i n = δ j n displaystyle varepsilon _ ij varepsilon ^ in = delta _ j ^ n
The Levi-Civita image lets the determinant of a square matrix, as well as cross product or service of two vectors in 3-dimensional Euclidean Area, to be expressed in Einstein index notation.
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E α β γ δ E ρ σ μ ν = − g α ζ g β η g γ θ g δ ι δ ρ σ μ ν ζ η θ ι E α β γ δ E ρ σ μ ν = − g α ζ g β η g γ θ g δ ι δ ζ η θ ι ρ σ μ ν E α β γ δ E α β γ δ = − 24 E α β γ δ E ρ β γ δ = − 6 δ ρ α E α β γ δ E ρ σ γ δ = − 2 δ ρ σ α β E α β γ δ E ρ σ θ δ = − δ ρ σ θ α β γ . displaystyle begin aligned E_ alpha beta gamma delta E_ rho sigma mu nu &=-g_ alpha zeta g_ beta eta g_ gamma theta g_ delta iota delta _ rho sigma mu nu ^ zeta eta theta iota E^ alpha beta gamma delta E^ rho sigma mu nu &=-g^ alpha zeta g^ beta eta g^ gamma theta g^ delta iota delta _ zeta eta theta iota ^ rho sigma mu nu E^ alpha beta gamma delta E_ alpha beta gamma delta &=-24E^ alpha beta gamma delta E_ rho beta gamma delta &=-6delta _ rho ^ alpha E^ alpha beta gamma delta E_ rho sigma gamma delta &=-twodelta _ rho sigma ^ alpha beta E^ alpha beta gamma delta E_ rho sigma theta delta &=-delta _ rho sigma theta ^ alpha beta gamma ,.finish aligned
This tensor shouldn't be baffled Together with the tensor density subject stated higher than. The presentation During this portion intently follows Carroll 2004.
The phrase "n-dimensional Levi-Civita symbol" refers to The reality that the amount of indices on the image n matches the dimensionality from the vector House in problem, which may be Euclidean or non-Euclidean, such as, R 3 displaystyle mathbb R ^ 3
If a World or star is composed of fuel, the center of mass will likely have zero gravity but immense tension? I'm trying to be aware of fusion in stars
ε i j k ε l m n =
Jika seorang pemain muncul di lebih dari satu papan peringkat, pemain tersebut dapat memenangkan lebih dari satu hadiah celebration. Hadiah akan dikirimkan dalam 72 jam setelah turnamen berakhir, silahkan periksa perubahan saldo dompet.
Using the cash pi notation Π website for regular multiplication of figures, an express expression for your image is:[citation needed]