Search results
Results from the WOW.Com Content Network
If a system initially rests at its equilibrium position, from where it is acted upon by a unit-impulse at the instance t=0, i.e., p(t) in the equation above is a Dirac delta function δ(t), () = | = =, then by solving the differential equation one can get a fundamental solution (known as a unit-impulse response function)
In fluid dynamics, Rayleigh problem also known as Stokes first problem is a problem of determining the flow created by a sudden movement of an infinitely long plate from rest, named after Lord Rayleigh and Sir George Stokes. This is considered as one of the simplest unsteady problems that have an exact solution for the Navier-Stokes equations.
The fifth edition of the American Psychiatric Association's Diagnostic and statistical manual of mental disorders that was published in 2013 includes a new chapter (not in DSM-IV-TR) on disruptive, impulse-control, and conduct disorders covering disorders "characterized by problems in emotional and behavioral self-control". [1]
As a result, the nascent delta functions that arise as fundamental solutions of the associated Cauchy problems are generally oscillatory integrals. An example, which comes from a solution of the Euler–Tricomi equation of transonic gas dynamics , [ 61 ] is the rescaled Airy function ε − 1 / 3 Ai ( x ε − 1 / 3 ) . {\displaystyle ...
the solution of the initial-value problem = is the convolution (). Through the superposition principle , given a linear ordinary differential equation (ODE), L y = f {\displaystyle Ly=f} , one can first solve L G = δ s {\displaystyle LG=\delta _{s}} , for each s , and realizing that, since the source is a sum of delta functions , the solution ...
The early identification of self-similar solutions of the second kind can be found in problems of imploding shock waves (Guderley–Landau–Stanyukovich problem), analyzed by G. Guderley (1942) and Lev Landau and K. P. Stanyukovich (1944), [3] and propagation of shock waves by a short impulse, analysed by Carl Friedrich von Weizsäcker [4] and ...
Pyromania is an impulse control disorder in which individuals repeatedly fail to resist impulses to deliberately start fires, [1] to relieve some tension or for instant gratification. The term pyromania comes from the Greek word πῦρ ( pyr , 'fire').
Infinite impulse response (IIR) is a ... Desired solutions can be transferred to the case of discrete-time filters whose ... Step invariant solves the problem of the ...