Financial development measured by this indicator exhibits a strong positive long-run relationship with real income: exp left({bb}_t-{y}_t-{p}_tright)={b}_4{y}_t+{u}_{2t}, (2 where u3t is a stationary and auto-correlated deviation from long-run equilibrium.
If the eigenvalue is real, then dim ( exp p ( E c ( p, 4 δ 1 ) ) ) = 1 and exp p ( E c ( p, 4 δ 1 ) ) is an arc I p centered at p; and if the eigenvalue is complex, then dim ( exp p ( E c ( p, 4 δ 1 ) ) ) = 2 and exp p ( E c ( p, 4 δ 1 ) ) is a disk D p centered at p. We know that I p ⊂ R ( g ) and D p ⊂ R ( g ).
Definition 1.2 We say that a finite collection of random variables X 1, X 2, …, X n is acceptable if for any real λ, E exp ( λ ∑ i = 1 n X i ) ≤ ∏ i = 1 n E exp ( λ X i ).
We say that a finite collection of random variables X1, X2,..., X n is acceptable if for any real λ, E exp λ ∑ i = 1 n X i ≤ ∏ i = 1 n E exp ( λ X i ).
We say that a finite collection of random variables X1, X2,..., X n is acceptable if there exists δ > 0 such that for any real λ∈, E exp λ ∑ i = 1 n X i ≤ ∏ i = 1 n E exp ( λ X i ).
In this context we frequently use the unitary representation of the real Heisenberg group (exp ( mathrm {i} W_{0, mathbb {R}}) times mathrm {U}_1) on the completion (fancyscript {A}_V) of the module (mathfrak {a}(V)).
The set (mathcal {C} = mathrm {Ad}(mathrm {Sp}_mathbb {R}) mathfrak {t}_+,), which is an open positive cone in (mathrm {i} mathfrak {sp}_mathbb {R},), is in bijection with M by the real-analytic diffeomorphism (exp :, mathcal {C} rightarrow M).
Values between in the parenthesis indicate real values of independent variables Exp experimental, Pred predicted Y = beta_{0} + sum {Bixi} (1).
Theorem 4 (i) Let c be real and positive and let ω = exp ( 2 π i a ).
The basic EXP was created to improve the real-time flow's priority prior to the association of non-real-time flows [30, 31].
Finally, in the estimation of a1, the calculation of x ^ m d ( n ) requires 2N real multiplications, N real additions and 2N sine/cosine operations for exp, plus N complex multiplications for the product x m (n) exp.
