Recently I came across an example for working out error propagation, and I'm having trouble following the steps:
A = 100 \pm 1%
B = 10 \pm 1%
AB = (100 \pm 1%).(10 \pm 1%)
= \left\{1000 \pm \left[\left(100.1\%\right) \pm \left(10.1\%\right)\right]\right\} // get confused here, how does...
Yes, it is a triangle distribution! Bloody hell!
Thank you so much for guiding me through this problem Vela. I am really really thankful for your tutoring :D
Thank you. This is what I get for the integration:
\int_{\frac{2-a}{3}}^1} 1-x dx = \left[x - \frac{x^2}{2}\right]_{\frac{2-a}{3}}^1} = \frac{a^2 +2a + 1}{18}
\int_{\frac{2-a}{3}}^0} 1+x dx = \left[x + \frac{x^2}{2}\right]_{\frac{2-a}{3}}^1} = \frac{-a^2 +10a - 16}{18}
And for the...
Just when I was feeling some relief, I have to integrate a triangle function...
\int_{\frac{2-a}{3}}^\infty p_X(x) dx = \int_{\frac{2-a}{3}}^\infty \Lambda(x) dx = \int_{\frac{2-a}{3}}^\infty 1 - x dx
So then I end up with...
\left[x - x^2/2\right]_{\frac{2-a}{3}}^\infty
And then I...
I understand what you're saying but having functions inside brackets and trying to diffrentiate triangle functions is making me go crazy. I keep on backtracking...
I have something like this:
F_Y(y) = P(Y\le y) = -3\Lambda(X) + 2
So then I diffrentiate with respect to y or x? And what...
I'm sorry I still do not understand what to do. My lecturer was not very thorough when he explained random signals and processes.
From my limited understanding:
p(x)dx = \Lambda(X)dx = (1-\left|x\right|)dx = -1
I'm sorry I just do not understand. I do not like to give up this easily but...
Hi everyone,
I have a simple question (assuming since it was only worth 5% of total marks in the exam) about the PDF of a random variable.
Given that PDF of random signal equals p(X) = \Lambda(X), where \Lambda is the triangle function, what would be the PDF of the random signal Y, Y = -3X...
So if the anode side was less positive (e.g. +3V) than the cathode side (e.g. +5V), the diode would not conduct?
I took the above diode from the AND gate circuit below. I cannot figure out how this circuit works. I'm going to run through what I understand of it, and if somebody can please...
Hi guys,
I have a very simple question but which is messing with my mind.
I'm trying to figure out the voltage drop across a diode when it is reverse biased, and I'm just not getting anywhere. Can someone please take a look at the attached image and explain to me what the voltage drop across...
Performing the intergral with integration by parts 3 times, I get the following:
F(t3) = 4 / \omega4
With the full transformation
F(t3) = 2/pi * \int_{0}^\infty 4.ei.\omega.t / \omega4
Which also equals
F(t3) = 8/pi * \int_{0}^\infty cos\omega + j.sin\omega / \omega4
Now using...
I just want to confirm if I'm following the right approach.
Step 1: I need to find the sine and cosine transforms of f(t) = t3 when 0 ≤ t < ∞?
Step 2: I then need to rearrange to somehow get the equaton in the picture?
After reading the notes, this is how far I got:
f(t) = 2/pi. I(0 - inf)fcomega.cosomega.td.omega
However, when I start evaluating the fcomega integral, I have the limits 0 - infinity and I'm left with
[t3.cosomega.t / omega] between 0 and infinity. I can't seem to progress from this stage...
Ok here is what I gather so far:
I am looking for the sine half-series, which is bn.Sin(nt) from the Fourier series.
So,
bn = I{t.sin(t).sin(nt)} between 0 and 2pi
... which goes to ...
bn = I{t.sint(1+n)} between 0 and 2pi?
Is that correct?
EDIT: ... which gives me 0. I think I...
Homework Statement
Question: Find the half-range Fourier sine series for the function f(t) = t sin(t)
Problem: According to all the examples I have gone through, they all have a limit when asking for the half-range. However, my teacher, in the question posted above, has not specified any...
Homework Statement
The problem is related to Fourier transforms. Since my teacher only cared to spend 2 lectures explaining the whole of this topic, I just cannot get my head around some of the principles involved.
The question is as follows:
Use the Fourier Transform formulas with the...
Homework Statement
Please see attached image. From the given information, I am having trouble deriving the left and right hand limits, I just can't figure out what these are...
http://img176.imageshack.us/img176/9334/fstih3.png [Broken]
Homework Equations
None needed.
The Attempt...
Homework Statement
Find the limits of the integral of z = f(x,y) over the region bounded by the x-axis, and the semi-circle x2 + y2 = 4, y ≥ 0
Homework Equations
The Attempt at a Solution
Where do I start on this question? I can't understand what it is asking.
IbaIdc
Am I...
Homework Statement
Find, from first principles, the Laplace transform of f(t) = sin2(3t)
Homework Equations
sin23t = 1/2(1-cost(6t))
L{SINat} = a/(s2 + a2)
The Attempt at a Solution
I already have the solution.
s/2(s2 + 36)
What I want to ask is what does the first principles part...