The American Buffalo bullion coins’ production and the sale were authorized by the US Congress through the Presidential $1 Coin Act of 2005. The Act requires the gold used in the American Buffalos’ production to be from newly mined sources in the US. Then, any US bullion coin must be ...
Proof can be found in Ahmed and Nataranjan (1983); Proakis and Manolakis (1996); Oppenheim, Schafer, and Buck (1997); and Stearns and Hush (1990). Similar to Equation (4.7), the expansion of Equation (4.10) leads to (4.11)x(n)=1N(X(0)WN−0n+X(1)WN−1n+X(2)WN−2n+...
set of options considered (Eccles, 1994, 2005, 2009). Gaining insight into the development of these relative hierarchies allows us to understand the predictive power of thesemotivational beliefsin influencing individual educational and occupational choice....
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An approximation of the optimal feedback law is then derived from the Taylor expansion of the value function. A convergence rate for the resulting controls and closed-loop systems is demonstrated. Similar content being viewed by others Feedback Control of Navier-Stokes-Voigt Equations by Finite ...
N is L-compact on Ω̅ if \operatorname{dom} L\cap \overline{ \varOmega }\neq \emptyset , where Ω is a bounded open subset of X.ProofBased on (H_{3}) and the definitions of Q, K_{P}, and k(x,y) , we can see that QN is bounded and there exists g(x)\in L^{1}...
Eigenvalue distributions of large Hermitian matrices; Wigner's semi-circle law and a theorem of Kac, Murdock, and Szeg Wigner's semi-circle law describes the eigenvalue distribution of certain large random Hermitian matrices. A new proof is given for the case of Gaussian matrices, that involves...
Metal outsourcing indicates that an economy increases metal ores extraction outside its borders for domestic consumption of renewable power. From the period of 2005 to 2015, there was a notable increase in the outsourcing of metals, an escalation of 69%, equivalent to 833 kilotons. This surge ...
M. Kellis, B.W. Birren and E.S. Lander,Proof and evolutionary analysis of ancient genome duplication in the yeast Saccharomyces cerevisae,Nature2004. At the time, the Kellis-Birren-Lander paper was hailed as containing “work that may lead to better understanding of genetic diseases” and in...
J Proof of Proposition 3.3 Suppose Φr(T, 0) has a simple eigenvalue A with right eigenvector x. The necessary and sufficient condition for the output of the system to asymptotically track the reference input at the sampling time is given in Eq. (160). If λ is an eigenvalue of [Φ...