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Its solutions are called -Yang–Mills connections (or -YM connections). Simple important cases of F {\displaystyle F} -Yang–Mills connections include exponential Yang–Mills connections using the exponential function for F {\displaystyle F} and p {\displaystyle p} -Yang–Mills connections using p {\displaystyle p} as exponent of a potence ...
t(n) = C(n + 1, 2) = n(n + 1) / 2 = 1 + 2 + ... + n for n ≥ 1, with t(0) = 0 (empty sum). A000217: Square numbers n 2: 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, ... n 2 = n × n: A000290: Tetrahedral numbers T(n) 0, 1, 4, 10, 20, 35, 56, 84, 120, 165, ... T(n) is the sum of the first n triangular numbers, with T(0) = 0 (empty sum). A000292 ...
[2.31(14) MeV] 2p: 9 C (3/2−) 12 O: 8 4 12.034 368 (13) 8.9(3.3) zs: 2p 10 C: 0+ 13 O: 8 5 13.024 815 (10) 8.58(5) ms: β + (89.1(2)%) 13 N (3/2−) β + p (10.9(2 ...
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The dx 1 ⊗σ 3 coefficient of a BPST instanton on the (x 1,x 2)-slice of R 4 where σ 3 is the third Pauli matrix (top left). The dx 2 ⊗σ 3 coefficient (top right). These coefficients determine the restriction of the BPST instanton A with g=2, ρ=1,z=0 to this slice. The corresponding field strength centered around z=0 (bottom left).
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upper bound for healthy blood glucose 2 hours after eating [17] 10 −2: cM 20 mM: neutrinos during a supernova, 1 AU from the core (10 58 over 10 s) [18] 44.6 mM: pure ideal gas at 0 °C and 101.325 kPa [19] 10 −1: dM: 140 mM: sodium ions in blood plasma [10] 480 mM: sodium ions in seawater [20] 10 0: M: 1 M: standard state concentration for ...
Therefore, N = 4 SYM has 1 + 4 + 6 = 11 fields, namely: one vector field (the spin-1 gauge boson), four spinor fields (the spin-1/2 fermions) and six scalar fields (the spin-0 bosons). N = 4 is the maximum number of independent supersymmetries: starting from a spin-1 field and using more supersymmetries, e.g., N = 5, only rotates between the 11 ...