That is, when a family of minimizing curves is constructed, the values of the optical length satisfy the characteristic equation corresponding the wave equation.
22.
The characteristic equation has three real roots \ lambda _ i, i . e . not imaginary due to the symmetry of the stress tensor.
23.
You deduce that Q and Q ^ {-1 } have the same characteristic equation; therefore, they have the same set of eigenvalues.
24.
It is evident from the relay characteristic equations that a larger TMS will result in a slower clearance time for a given PMS ( I ) value.
25.
To account for the dominance of the currents, the characteristic equation is frequently written in terms of current density, or current produced per unit cell area:
26.
The characteristic roots ( roots of the characteristic equation ) also provide qualitative information about the behavior of the variable whose evolution is described by the dynamic equation.
27.
The Cayley Hamilton theorem asserts that every matrix " A " satisfies its characteristic equation : if is the characteristic polynomial of, then 0 } }.
28.
The characteristic equation of A is ( \ lambda-2 ) ^ 3 = 0, hence, \ lambda = 2 is an eigenvalue of algebraic multiplicity three.
29.
The poles of \ mathcal { T } ( s ) are also said to be the roots of the " characteristic equation " D ( s ) = 0.
30.
Because of the exponential in the characteristic equation, the DDE has, unlike the ODE case, an infinite number of eigenvalues, making a spectral analysis more involved.
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