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But, infuriated by the young country having to endure depredations against its merchant ships by the Muslim powers, of the Barbary Coast, for which the standing solution was to shell out a large fraction of the federal treasury in tribute payments, the Virginian changed his mind.
The rapid generation of 3 as a standing solution within the confines of the thin-layer spectro-electrochemical cell provides the means of studying its reactivity without the complication of diffusion into bulk solution where reactions with the parent material can take place.
Even those who queried the report's insistence on all-seat stadiums, insisting that a safe standing solution could have been found and suspecting that clubs used it as an excuse to raise prices, acknowledge Lord Taylor did football a huge service.
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A standing wave solution of (1.3) is a solution of the form ψ ( x, t ) = u ( x ) exp − i E t ħ.
A standing wave solution of (1.1) is a solution of the form varphi x,t)=u(x e^{-frac{iEt}{hbar}}, quad u(x inmathbb{R}.
A standing wave solution of equation (1.1) is a solution of the form ψ ( x, t ) = u ( x ) e − i E t h.
In physics, we are interested in the standing wave solutions, that is, solutions to(1.2) of the type ψ ( x, t ) = exp ( - i E t ħ ) u ( x ), where ħ is a sufficiently small constant, E is a real number, and u ( x ) is a complex-valued function satisfying - ( ∇ + i A ( x ) ) 2 u ( x ) + λ ( W ( x ) - E ) u ( x ) = λ K ( x ) | u | 2 * - 2 u + λ h ( x, | u | 2 ) u, x ϵ R N. (1.3).
The standing wave solution of (1) is of the form (u t,x =e^{ia t}u(x)), then equation (1) is reduced to the following stationary equation: -Delta u+a u=bigl omega(x ast vert uvert ^{p} bigr)vert uvert ^{p-2}u,quad xinmathbb{R}^{N}.
Of particular interest are the so-called standing wave solutions which consist in solutions with a particle-like behavior.
In physics, we are interested in standing wave solutions, i.e., solutions of type (1.2) when ħ is sufficiently small, when E is a real number and u ( x ) is a complex-value function which satisfies − ( ∇ + i A ( x ) ) 2 u ( x ) + λ V ( x ) u ( x ) = λ K ( x ) | u | 2 ∗ − 2 u + λ h ( x, | u | 2 ) u, x ∈ R N, (1.3).
Solutions of ( E λ ) are related to the existence of the standing wave solutions of the following quasilinear Schrödinger equation: (1.1).
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