steady-state equilibrium satisfies [d.sub.t] = d* > 0 for all t.
We note that f is not assumed to be nondegenerate
in this lemma.
In another equilibrium the roles of A and B are reversed: [x.sub.A] [equivalent to] 0 and B chooses a nondegenerate
Following Diamond and Stiglitz (1974), we posit a utility function u(y, c) that depends on a control variable c, with risk about income represented by the nondegenerate
cumulative distribution function F(y, [theta]) parameterized by an index [theta], whose support set for y is contained in the positive interval [a, b].
Dual-mode open-loop filters can excite two nondegenerate
modes as well as two controllable finite-frequency transmission zeros, which can be controlled simply by varying the size of perturbation.
Srijuntongsiri  proposed a new iterative hybrid algorithm to detect all intersections in the domain for nondegenerate
and non-ill-posed cases.
In finite doping concentration the existence of dopant introduced exchange field breaks the time inversion symmetry and decouples the energetically degenerated valley into nondegenerate
and elucidating the occurrence of valley polarization.
where [[beta].sub.i] and [[beta].sub.j] are nondegenerate
propagation constants, and [E.sub.it], [H.sub.it], [E.sub.jt], and [H.sub.jt] are their corresponding transverse mode distributions.
in the weak topology [sigma](E, [E.sup.*]), where F is the HKP-primitive of f and S is a fixed compact nondegenerate
interval in [R.sup.n].
To understand what the problem is and how it is solved, recall that in geometry the metric tensor is assumed to be smooth and regular, that is, without infinite components and nondegenerate
, which means that its determinant is nonvanishing.
The purpose of the current paper is to utilize an alternate strategy, namely, the conformal flow of metrics , and find a new choice for [phi] (see (58) below) which is strictly positive away from [partial derivative]M and hence leads to a nondegenerate
coupling with the generalized Jang equation.