Sentence examples for trivial state from inspiring English sources
So, no matter the dumbed-down, trivial state of popular theater, producers still believe that high tragedy sells -- in pure form, as in recent Broadway stagings of "Medea" and "Electra," or processed for modern sensibilities.
And, (xequiv0) is the trivial state of system (2.2).
Besides, system (2.1) has a trivial state (yequiv0).
However, in the special case of unit filling, which we would like to treat here, the only state described by this simple HCB form is again the trivial state with a single particle on each site, which is an eigenstate of all operators and.
The third equilibrium point bigl u^,v^bigr)= biggl( frac{sigmagamma-gamma+delta+sqrt{(sigma gamma-gamma+delta)^{2}+4sigmagammadeltabeta}}{2sigamma}mma}, biggl( frac{gamma}{delta}-1 biggr)u^-beta biggr) is a trivial state which corresponds to the coexistence of both prey and predator.
By shrinking or expanding the graphene nanodisks, the double Dirac cone is opened and the band inversion occurs between pseudospin dipole and quadrupole modes, which further leads to topological phase transition between nontrivial and trivial states.
Just as in the mechanical case, not all linear homogeneous anisotropic piezoelectric cylindrical solids will sustain a non-trivial state of plane deformation.
Particularly, the fluorinated SiGe sheet becomes a topological insulator with ℤ2= 1, and such non-trivial state can also be found in the strained fluorinated SnSi and hydrogenated SnGe sheets.
A test harness first drives the component to a non-trivial state which serves as the starting state for a number of simple, very small multi-threaded test cases.
Indeed, a theoretical model for weak anti-localization effects in thin Bi2Se3 or Bi2Te3 films shows that contribution from the 2D electron gas can lead to uncertainty related to the value of α [73], the parameter whose value can indicate how many topologically non-trivial states exist in the thin film [74].
Solid and dashed lines correspond with x 1 and x 2. Solutions of all four stable branches are obtained: (A) trivial steady state, (B) non-trivial steady state, (C) symmetric periodic solutions and (D) asymmetric periodic solutions.
