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The surface (Sigma _{0,0}) is invariant under the reflections (sigma _0) and (tau _0).
Lattice sites and couplings that lie in the same orbit (under the reflections and rotations that leave the quantum simulation model unchanged) are identically colored.
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If (lambda < 2), then the eigenfunction (varphi ) is invariant under the reflection (sigma ).
It suffices to show that (Sigma _{0,0}) is invariant under the reflection (sigma _0).
This shows that (Sigma _{0,0}) is invariant under the reflection (sigma _0), thus completing the proof of Lemma 5.6.
The signal of the diaphragm was transferred via the cell contact to readout integrated circuit (ROIC) located under the reflection layer.
In fact, if Λ < 0, then the image of ∂ Ω ∩ ∂ Ω Λ under the reflection about { x 1 = Λ } lies inside Ω.
Since (Sigma ) is invariant under the reflection (rho _{i_0,j_0}), we conclude that (Sigma ) is smooth away from the set ({P_i: i in mathbb{Z }_{2 k+1)}} cup {Q_j: j in mathbb{Z }_{2(m+1)}}).
(Choe and Soret [13]) Let (Sigma ) be an embedded minimal surface in (S^3) which is symmetric under the reflection (sigma (x) = x - 2, langle a,x rangle, a) for some unit vector (a in mathbb{R }^4).
The data, available in the form of Stokes vector, are used to derive a coherency matrix, under the reflection symmetry condition, whose elements are used to calculate the particle anisotropy parameter.
The integrated intensity of the 1,0 and 1,1 reflection intensities were then determined by the areas under the reflection peaks, defined as I1,0 and I1,1, respectively.
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