I don't understand the result of this integral (in yellow). Could you help me please ?
Thank you !
2026-04-01 10:49:19.1775040559
Integral of the product of the two functions (convolution)
60 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in CONVOLUTION
- What is the result of $x(at) * δ(t-k)$
- Convolution sum
- PDF of the sum of two random variables integrates to >1
- If $u \in \mathscr{L}^1(\lambda^n), v\in \mathscr{L}^\infty (\lambda^n)$, then $u \star v$ is bounded and continuous.
- Proof of Young's inequality $\Vert u \star v \Vert_p \le \Vert u \Vert_1 \Vert v \Vert_p.$
- Duhamel's principle for heat equation.
- Computing the convolution of $f(x)=\gamma1_{(\alpha,\alpha+\beta)}(x)$
- Convolution of distributions property
- Self-convolution of $f(\vec{r}) = e^{-x^2-y^2}/r^2$
- Inverse $z$-transform similar to convolution
Related Questions in POISSON-PROCESS
- Meaning of a double integral
- planar Poisson line process & angles of inclination
- In the Poisson process $N,$ find $\operatorname E[2^{N(t)}e^{-\lambda t} \mid N(s) = k]$ and $\operatorname{Var}(N(t) \mid N(s) = k)$.
- Probability Bookings in a Hotel
- Fitting Count Data with Poisson & NBD
- Expected value mixed poisson process
- Convergence of iid random variables to a poisson process
- Poisson process - 2D
- To prove that $X(t) = N(t+L) - N(t) , L > 0$ is Covariance stationary given $\{N(t) | t \geq 0\}$ is a Poisson Process.
- Poisson point process characterized by inter-arrival times
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?
Just split it into two terms. For the first term note that $be^{-by}$ is the derivative of $-e^{-by}$. For the second term note that $e^{-by}e^{-b(x-y)}=e^{-bx}$.