Gain is also taken as Laplace transform of output to Laplace transform of Input . for example voltage gain calculation , it is not necessary to make the energy will be zero in L and C ( if present in the given circuit). But in case of Transfer function to avoid the system dynamics , we have to make the inductor and capacitor energy will be zero as initial condition = 0
Fourier series is the sum of sinusoids representing the given function which has to be analysed whereas discrete fourier transform is a function which we get when summation is done.
There are many. A 100% stacked bar is one example.
Reflex - is an automatic response that happens at the subconscious level Instinct - is a type of behaviour that is reflexive in nature, relying on un-learnt responses to given stimuli
Answers.com says it is: A statistical range with a specified probability that a given parameter lies within the range. I think that means, just how confident you are that your statistical analysis is correct.
normally the unit ramp signal is defined as follows... r(t)= t, t>=0 0,otherwise so the laplace of it is given as R(s)=1/s^2
A Laplace transform is a mathematical operator that is used to solve differential equations. This operator is also used to transform waveform functions from the time domain to the frequency domain and can simplify the study of such functions. For continuous functions, f(t), the Laplace transform, F(s), is defined as the Integral from 0 to infinity of f(t)*e-stdt. When this definition is used it can be shown that the Laplace transform, Fn(s) of the nth derivative of a function, fn(t), is given by the following generic formula:Fn(s)=snF(s) - sn-1f0(0) - sn-2f1(0) - sn-3f2(0) - sn-4f3(0) - sn-5f4(0). . . . . - sn-nfn-1(0)Thus, by taking the Laplace transform of an entire differential equation you can eliminate the derivatives of functions with respect to t in the equation replacing them with a Laplace transform operator, and simple initial condition constants, fn(0), times a new variable s raised to some power. In this manner the differential equation is transformed into an algebraic equation with an F(s) term. After solving this new algebraic equation for F(s) you can take the inverse Laplace transform of the entire equation. Since the inverse Laplace transform of F(s) is f(t) you are left with the solution to the original differential equation.
The Laplace transform is a widely used integral transform in mathematics with many applications in physics and engineering. It is a linear operator of a function f(t) with a real argument t (t ≥ 0) that transforms f(t) to a function F(s) with complex argument s, given by the integral F(s) = \int_0^\infty f(t) e^{-st}\,dt.
It tells you what the system does to the input signal(s) to generate the output signal(s). The transfer function can be expressed in either the time domain or the frequency domain, depending on whichever is easier to deal with in the application.
Gain is also taken as Laplace transform of output to Laplace transform of Input . for example voltage gain calculation , it is not necessary to make the energy will be zero in L and C ( if present in the given circuit). But in case of Transfer function to avoid the system dynamics , we have to make the inductor and capacitor energy will be zero as initial condition = 0
IN time domain analysis time is the independent variable. when a system is given an excitation input is a respose output.this response varies with the time is called time response. komal
Solve y''+y=0 using Laplace. Umm y=0, 0''+0=0, 0.o Oh well here it is. First you take the Laplace of each term, so . . . L(y'')+L(y)=L(0) Using your Laplace table you know the Laplace of all these terms s2L(y)-sy(0)-y'(0) + L(y) = 0 Since both initial conditions are 0 this simplifies to. . . s2L(y) + L(y) = 0 You can factor out the L(y) and solve for it. L(y) = 0/(s2+1) L(y) = 0 Now take the inverse Laplace of both sides and solve for y. L-1(L(y)) = L-1(0) y = 0
A response is an answer or reply that can be in a word or action.
An automatic response.
It is called "Conditioning" like Pavlov did with his dogs; linked a bell w/ salivation by feeding dogs when he rang a bell, so eventually the dogs salivated (response) just when they heard a bell (stimulus) without the food. Frequently used in Applied Behavior Analysis (ABA) an educational therapy & approach.
The call is given by the soloist and response by the group
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