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searching for Inverse Laplace transform 22 found (37 total)

alternate case: inverse Laplace transform

Wiener filter (2,991 words) [view diff] exact match in snippet view article find links to article

inverse Laplace transform) S x + ( s ) {\displaystyle S_{x}^{+}(s)} is the causal component of S x ( s ) {\displaystyle S_{x}(s)} (i.e., the inverse Laplace

RL circuit (3,333 words) [view diff] exact match in snippet view article find links to article

_{R}}\end{aligned}}} The impulse response for each voltage is the inverse Laplace transform of the corresponding transfer function. It represents the response

Infinite impulse response (2,846 words) [view diff] exact match in snippet view article find links to article

{\displaystyle Y(z)=T(z)} Now the output of the analog filter is just the inverse Laplace transform in the time domain. y ( t ) = L − 1 [ Y ( s ) ] = L − 1 [ T (

Impulse invariance (1,066 words) [view diff] exact match in snippet view article find links to article

H_{c}(s)=\sum _{k=1}^{N}{\frac {A_{k}}{s-s_{k}}}\,} Thus, using the inverse Laplace transform, the impulse response is h c ( t ) = { ∑ k = 1 N A k e s k t

Hamburger moment problem (1,385 words) [view diff] exact match in snippet view article find links to article

probability density function can often be found by applying the inverse Laplace transform to the moment generating function m ( t ) = ∑ n = 0 m n t n n

Analog signal processing (1,621 words) [view diff] exact match in snippet view article find links to article

{\displaystyle X(s)=\int _{0^{-}}^{\infty }x(t)e^{-st}\,dt} and the inverse Laplace transform, if all the singularities of X(s) are in the left half of the

Constraint counting (1,397 words) [view diff] exact match in snippet view article find links to article

[Fp](m,n)+[Fq](m,n)}{\omega ^{2}+m^{2}+n^{2}}}} Applying the inverse Laplace transform gives [ F u ] ( t , m , n ) = [ F p ] ( m , n ) cos ⁡ ( m 2 +

Multidimensional transform (4,602 words) [view diff] case mismatch in snippet view article find links to article

so by formulating a circuit as a state-space and expanding the Inverse Laplace Transform based on Laguerre function expansion. The Laguerre method can

Transfer function (2,498 words) [view diff] exact match in snippet view article find links to article

{H(s)}{s-j\omega _{0}}}} , and the temporal output will be the inverse Laplace transform of that function: g ( t ) = e j ω 0 t − e ( σ P + j ω P ) t −

Maple (software) (2,644 words) [view diff] exact match in snippet view article

{\frac {1}{s-c}}+{\frac {A}{(s-c)^{2}}}+{\frac {2B}{(s-c)^{3}}}} inverse Laplace transform inttrans:-invlaplace(1/(s-a), s, x); e a x {\displaystyle e^{ax}}

Dynamic light scattering (4,342 words) [view diff] exact match in snippet view article find links to article

analyzing the autocorrelation function can be achieved through an inverse Laplace transform known as CONTIN developed by Steven Provencher. The CONTIN analysis

Stretched exponential function (2,317 words) [view diff] case mismatch in snippet view article find links to article

[citation needed] The same reference also shows how to obtain the inverse Laplace Transform for the stretched exponential exp ⁡ ( − s β ) {\displaystyle \exp

LC circuit (5,527 words) [view diff] exact match in snippet view article find links to article

_{0}^{2}}}\,,} Which can be transformed back to the time domain via the inverse Laplace transform: v ( t ) = L − 1 ⁡ [ V ( s ) ] {\displaystyle v(t)=\operatorname

Linear canonical transformation (2,884 words) [view diff] exact match in snippet view article find links to article

transform when θ = 90 ∘ . {\displaystyle \theta =90^{\circ }.} The inverse Laplace transform corresponds to θ = − 90 ∘ . {\displaystyle \theta =-90^{\circ

Two-sided Laplace transform (1,995 words) [view diff] exact match in snippet view article find links to article

{s}})}}\,F_{2}(s)\,ds} This theorem is proved by applying the inverse Laplace transform on the convolution theorem in form of the cross-correlation. Let

Perturbation theory (quantum mechanics) (15,991 words) [view diff] exact match in snippet view article

|n^{(0)}\rangle } . For k = 2 {\displaystyle k=2} , one has to consider the inverse Laplace transform ρ n , 2 ( s ) {\displaystyle \rho _{n,2}(s)} of the two-point

Group delay and phase delay (5,780 words) [view diff] exact match in snippet view article find links to article

frequency, and L − 1 {\displaystyle {\mathcal {L}}^{-1}} is the inverse Laplace transform. H ( s ) {\displaystyle \displaystyle H(s)} is called the transfer

Z-transform (5,652 words) [view diff] exact match in snippet view article find links to article

{\bigg .}X^{*}(s)=X(z){\bigg |}_{\displaystyle z=e^{sT}}} The inverse Laplace transform is a mathematical abstraction known as an impulse-sampled function

Aquilanti–Mundim deformed Arrhenius model (4,903 words) [view diff] case mismatch in snippet view article find links to article

"Pressure-Dependent Rate Constant Predictions Utilizing the Inverse Laplace Transform: A Victim of Deficient Input Data". ACS Omega. 3 (7): 8212–8219

Fractional calculus (7,989 words) [view diff] exact match in snippet view article find links to article

dependence on s. Taking the derivative of C(x,s) and then the inverse Laplace transform yields the following relationship: d d x C ( x , t ) = d 1 2 d

Rate equation (7,576 words) [view diff] exact match in snippet view article find links to article

vector. Let L − 1 {\displaystyle {\mathcal {L}}^{-1}} be the inverse Laplace transform from s {\displaystyle s} to t {\displaystyle t} . Then the time-evolved

Stable count distribution (7,739 words) [view diff] exact match in snippet view article find links to article

{D}{4}}\right)={\frac {2a}{\sigma ^{2}}}} . From Section 4 of, the inverse Laplace transform H α ( k ) {\displaystyle H_{\alpha }(k)} of the Mittag-Leffler