An Application of the Numerical Analysis Method to the Nonlinear Control System in which the Time Constant Depends Upon the Systemic Error——The analysis of the stabilization and the selection of the parameter in the automatic side-detecting cont
In this model, credit risk is described by a constant credit spread, but the constant credit spread can't reflect the influence of underlying stock price and its determination is difficult.
In the firstpart, we obtain the general solution of dynamic equation of the railwaybridge under the action of an arbitrary single moving load(= PF(t),whereP is a constant, F(t) araitrary function of time t).
These allow natural representations of constant and, sometimes, linear components.
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We study nonlinear dispersive systems of the form where k=1, …, n, j ∈ ?+, and Pk(·) are polynomials having no constant or linear terms.
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We show that if(X,Σ, μ) is not purely atomic, then the unconditional basis constant of our basis is (max(p, q) -1).
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The first result is an enhancement of the Paley-Wiener type constant for nonharmonic series given by Duffin and Schaefer in [6] and used recently in some applications (see [3]).
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We show how to reconstruct functions satisfying the scaling equations above and show that ?2, …, ?q always constitute a tight frame with constant 1.
The gravitational field and the motion of matter in the universe are investigated according to Einstein's field equations and his dynamical equations of motion. In a spatially isotropic and homogeneous space-time continuum it can be shown that up to about 2x10~8 l.y. the following relation holds between spectrum displacement δλ from distant spiral nebulae and their observa-tionally defined distance d,where A is Einstein's cosmological constant. The first term on the right hand side is essentially Hubb...
Formulas are derived for the solution of the transient currents of dissipative low-pass T-type electric wave filters. Oscillograms taken by cathode ray oscillograph for d-c. and a-c. cases are found to agree with results calculated from these formulas. From these calculations, the following conclusions are derived. When terminating resistance is gradually increased from O, the damping constants of the sine terms begin to differ from each other, ranging in decreasing magnitude from term of the lowest f...
Formulas are derived for the solution of the transient currents of resistance-terminated dissipative T-& π-type band-pass electric wave filters of the constant X type. Oscillagrams taken hy cathode ray oscillograph for d-c. & a-c. cases are found to agree with the calculated results. From these calculations, the following conclusions are derived: (1) No matter what the impressed frequencies are, the transient is ultimately of the lower cut-off frequency. (2) The receiving-end indicial admittance consi...