Pdf Definition and 328 Threads

In Schwartz's book, 'Quantum Field Theory and the Standard Model' P.696, he starts to derive an expression for a parton distribution function in terms of matrix elements evaluated on the lightcone. Most of the derivation is clear to me, except a couple of things at the start and midway. The...

Hi PF! I am submitting a pdf and am generating it in LaTex, specifically I'm using TeXShop. Instructions on submission say: "Ensure that all fonts are embedded in the PDF file and that only Type 1 or TrueType fonts are used. In addition, any offeror who creates files using TeX or LaTeX is...

I have around ~24 PDF files I want to edit. I want to delete the first page of each file OR scan for certain text in the file/delete the text (whichever implementation is easier). What would be the most convenient and straight forward coding language to do this with and what would be my starting...

Homework Statement Prove that ##\int _0^a\left(\frac{f\left((sin(ln(c))x\right)+\sqrt{\cos \left(e-\pi ^2\right)}}{\ln \left(\pi ^2-e\right)+\pi ^2\sqrt{\cos \left(e-\pi ^2\right)}}\right)dx## is a probability density function (when ##a=\frac{1}{\pi ^2}##) given that ##\int _0^{\pi...

Let $$X_1,\dots,X_n$$ be i.i.d $$N(\mu,\sigma^2)$$. What is the marginal pdf of $$\sum_{i=1}^n (X_i-\overline{X})^2$$. I'm guessing it's some sort of chi square distribution but how to find this I am unsure. Thanks

Homework Statement A probability density function, ##p\left(x\right)=\int _{-a}^a\left(f\left(x,\left(a-y\right)\right)-f\left(y,ax\right)\right)dy##, can be formed from the bivariate function ##f\left(x,y\right)=y\sqrt{\left(x-2\right)^2-y}## over the domain ##[0,b]## - where ##b## is the...

hello i wanted to ask you that if we have a teacher website name. when we open pdf of his website it opens in google drive. when i opened c++ assignments file was zipping download is taking time but i am unable to download. what is the correct procedure for downloading pdf of google drive

Homework Statement A probability density function is defined by ##f\left(x\right)=\left|a\right|\left(x+1\right)-\left(ax-1\right)^2## where ##x∈[0,b]##. Determine the values of the constants ##a## and ##b##, given that the graph passes through the point ##(b,0)##. Homework Equations...

Back again. This time I'm looking to build a small catalog of Feynman diagrams for my own use (and when I'm done to put it on the Internet in PDF format). I need your help to get a list of URLs together that I can download the required PDF's off the internet, bring them into Illustrator and have...

Hey there! I am looking for a free PDF viewer that is capable of highlighting areas and text and that is available for Debian (Linux). Thanks in advance.

I've got this default PDF file opener in Windows 10 that drives me nuts. Every time I activate the cursor to navigate the page these banners drop in from the top and side and it's just irritating. I don't know how to change the default PDF app, though. I'd like to just change it so when I...

Where can I find a free digital copy of The Large Scale Structure of Space-time by Hawking and Ellis?

Hi. I have the following expression X=\frac{G\frac{x_1}{x_2}\gamma_Q}{\frac{1}{G}x_3 \gamma_P+1} where ##x_i## is an exponential random variable with mean 1. All other parameters are nonzero positive constants. Basically I want to find the probability density function (pdf) of ##X##. So I...

A common problem in statistics is, "Given that X is distributed according to the pdf f(x) and Y is distributed according to the pdf g(y), what is the pdf h(z) of Z = X + Y?" The answer is the convolution of f(x) and g(y): $$ h(z)=(f*g)(z)=\int_{-\infty}^\infty f(z-t)g(t) dt =...

A capacitor has a capacitance C and is charged using a battery. After disconnecting the battery the two plates are separated until they are twice as far apart as originally. What happens to the voltage across the capacitor? I think answer should be voltage increases . As battery has been...

Homework Statement Let $$ \Phi(x)=\int_{-\infty}^{x} \frac{1} { \sqrt{2\pi} } e^{-y^2 /2} dy $$ and $$ \phi(x)=\Phi^\prime(x)=\frac{1} { \sqrt{2\pi} } e^{-x^2 /2} $$ be the standard normal (zero - mean and unit variance) cummulative probability distribution function and the standard normal...

This question is killing me. I know the graph is non-monotonic so i have to split up finding F(Y) for -1<Y and Y<1 but then what do I do with the modulus? >.< Any help would be greatly appreciated! Thank you so much x

Homework Statement Given X,Y,Z are 3 N(1,1) random variables, (1) Find E[ XY | Y + Z = 1] Homework EquationsThe Attempt at a Solution I'm honestly completely lost in statistics... I didn't quite grasp the intuitive aspect of expectation because my professor lives in the numbers side and...

Homework Statement Given a Uniform Distribution (0,1) and Z = X/Y Find F(z) and f(z) Homework EquationsThe Attempt at a Solution So I'm just trying to make sure i have the range correct on this one... I'm honestly lost from beginning to end with it. R(z) = {0,∞} because as y is very small, Z...

Homework Statement E = { (x,y) | |x| + |y| ≤ 1} fx,y (x,y) = { c (x,y) ∈ E 0 otherwise } Find C. Find the Marginal PDFs Find the conditional X given Y=y, where -1 ≤ y ≤ 1. Are X and Y independent. Homework Equations I'm taking a guess here in the solution... but F(x,y) = F(x)F(y) and...

Homework Statement A manufacturer has designed a process to produce pipes that are 10 feet long. The distribution of the pipe length, however, is actually Uniform on the interval 10 feet to 10.57 feet. Assume that the lengths of individual pipes produced by the process are independent. Let X...

Problem Let X be a uniform(0,1) random variable, and let Y=e^−X. Find the CDF of Y. Find the PDF of Y. Find EY. Relevant Equations http://puu.sh/kAVJ8/0f2b1e7b22.png My attempt at a solution If I solve for the range of y I get (1, 1/e), but because Y is not an increasing function, my...

Homework Statement X ~ Uniform (0,1) Y = e-X Find FY (y) - or the CDF Find fY(y) - or the PDF Find E[Y] 2. Homework Equations E[Y] = E[e-X] = ∫0 , 1 e-xfx(x)dx FY(y) = P(Y < y) fY(y) = F'Y(y) The Attempt at a Solution FX(x) = { 0 for x<0 x for 0<x<1 1 for 1<x } fX(x) = { 1 for...

Say I have a large data set of 1,000,000 points. If I plot a histogram of this data, I get a bar chart with bins along the x-axis and the number of items in each bin along the y-axis. If I take the number of items in each bin and divide this by the total number of items (1,000,000 in this...

Homework Statement Suppose you take a pass-fail test repeatedly. Let Sk be the event that you are successful in your kth try, and Fk be the event that you fail the test in your kth try. On your first try, you have a 50% chance of passing the test. P(S1)=1−P(F1)=1/2. Assume that as you take the...

In many games a pair of standard six sided dice is used. I denote this 2d6. In this particular game, if a die is rolled the result is registered. If it returned a 6, it is re-rolled while a 5 is recorded. So it's basically a 2d5+1 open ended roll, which in theory could end up with very large...

Homework Statement I've been asked to sketch and mathematically represent the pdf of 2 signals: (a) rep2T{5 rect(t/T) - rect((t-T)/T)} (b) rep2T{2 rect(t/T) + 4Arect(2t/T)} A(t) is the lambda function A(t) = 1- t for 0 <= t <= 1 1+t for -1 <= t <= 0 Any help would be much...

Hi, I have some figures in a pdf form, and I'd like to pass them into latex as figures ->meaning I want to be able to use a caption. I used the: \usepackage{pdfpages} but this inserts the pdf page as it is, and I can't "edit" it (by adding a caption). Is there any possible way to do it?

Hallo math helpers , i am trying to understand how one could solve the following integrall: $$\int_a^b \mathcal{N}(f(x_1,...,x_n,t),g(x_1,...,x_n,t)) dt$$, where $$\mathcal{N}$$ is the normal distribution, and $$f(x_1,...,x_n,t): \mathbb{R}^{n+1} \rightarrow \mathbb{R}$$, $$g(x_1,...,x_n,t)...

I need help guys I can't understand this Can anyone explain thoroughly how do I form the range for this question? f(x,y)= e-x for 0≤x≤y≤∞ 0 Otherwise Find P(x+y≤1) I attempted this by integrating through the range of 0≤y≤(1-x) and 0≤x≤∞ but that...

Homework Statement The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following probability density function: f(x) = 0.057x + 0.272 if 3 <= x <= 5. It is 0 otherwise. a) Verify that the total area under the density curve is 1. b) Obtain the...

Hi, I have a data vector that consists of directions measured in an experiment. I wish to create a probability density function. As the data is circular and multimodal I use a kernel density estimate with von Mises distribution (essentially a Gaussian on the unit circle) as the basis function. I...

Homework Statement The problem and its solution are attached in the TheProblemAndSolution.jpg file. Homework Equations E(X) = integral from -infinity to infinity of x * ##f_X(x)## ##f_X(x)## = integral from -infinity to infinity of ##f_{XY}(x,y)## dy The Attempt at a Solution Basically, how...

Homework Statement Let X denote a continuous random variable with probability density function f(x) = kx3/15 for 1≤X≤2. Determine the value of the constant k. Homework Equations I'm not sure if this is right but I think ∫kx3/15 dx=1 with the parameters being between 2 and 1, The Attempt at a...

Homework Statement Homework Equations integral from -inf to inf of fx(x)dx = 1, fx(x)=PMF The Attempt at a Solution I get values for probability function PMF of: 0.3, x=0 0.3, x=2 A-0.6, x=3 I guess I try to find area under curve of PMF which will be equal to 1. (0.3)(2) +...

I have a set of two related queries relating to marginal pdfs: i.How to proceed finding the marginal pdfs of two independent gamma distributions (X1 and X2) with parameters (α1,β) and (α2,β) respectively, given the transformation: Y1=X1/(X1+X2) and Y2=X1+X2. I am using the following gamma...

Homework Statement Let ##X## have the pdf ##f_X(x)=\dfrac{1}{\sqrt{2\pi\sigma^2}}e^{\dfrac{-(x-\mu)^2}{2\sigma^2}}## where ##-\infty<x<\infty,-\infty<\mu<\infty,\sigma>0##. Let ##Z=g(X)=\frac{X-\mu}{\sigma}##. Find the pdf and cdf of ##Z##[/B] Homework EquationsThe Attempt at a Solution...

I am switching computers so I transfer some pdf files from the first computer(Win 8) into a memory stick. Then I transfer from the memory stick to the second computer( Win 7). But all the pdf files become Firefox HTML Documents. 1) When I copy from the first computer, I open the memory stick...

How do I estimate the pdf from a random variable \(X\) where \(X = U_1 - U_2\) and \(U_i\) are uniform random variables? In the code below, I used unifrnd(-5, 5, 1000, 1) which generated a 1000x1 vector of uniform random number between -5 and 5. How do I estimate the PDF for X? rng; X =...

Hello all, I have created a PDF presentation using LateX. I want to add my commentary on the slides by recording my explanation using a mic and mark some parts of the slides while I am commenting, at least to be able to point where I want using the cursor. How can I do that? Thanks

How do I copy and paste equations from the textbook pdf to word? I just want to make my own notes. And make them as fast as possible.

Hi, Could someone help me prove that the function given with ##f(x) = \binom{x-1}{r-1} p^{r}(1-p)^{x-r}## is a probability density function, where ## x= r, r+1,..., \infty ## and ## 0<p<1 ## I thought to solve it somehow by using the binomial theorem, but since it's the upper part...

hey all (again)! how do people create pdf's? it seems like we start by collecting info and turning it into a histogram. then do we simply look at an array of curves, or is there something more, such as what is done of finding the least squares method for fitting data to a line? thanks!

Homework Statement Two independent series of experiments are performed. The probability of a positive result (independent of each other) in the respective series are given by p and q. Let X and Y be be the amount of experiments before the first negative result occur in the respective series...

Homework Statement two random variables have a join pdf f(x,y)= c , x^2+y^2<= 1, x >0, y>0 0, otherwise Find c. Find E{xy}. Homework Equations The Attempt at a Solution For the first part, since area= pi/4, c(pi/4) = 1 c=(4/pi) b) x=cos θ y= sin θ ∫∫-(sin...

¿Is there an unique wavefunction for a system if we know the distribution probability function for variables from the system and first derivatives from these variables and we have the gauge fixed (by external impositions not related with the wavefunction knowledge obviously? (Nothing about...

Homework Statement Homework Equations The Attempt at a Solution The problem is the integral is non-elementary, so now what? Part (b) follows trivially from part (a). But is there some kind of shortcut I have to take, because no matter what substitution I do, the integral...

I am trying to derive the distribution for the sum of two random vectors, such that: \begin{align} X &= L_1 \cos \Theta_1 + L_2 \cos \Theta_2 \\ Y &= L_1 \sin \Theta_1 + L_2 \sin \Theta_2 \end{align} With: \begin{align} L_1 &\sim \mathcal{U}(0,m_1) \\ L_2 &\sim...

Homework Statement I want to find the PDF for arccos and arcsin of a uniform random number. Given: Y\sim\mathcal{U}(0,2\pi) \\ X = cos(Y) The Attempt at a Solution I started with trying to find the CDF: \begin{align} F_X& = P(X \le x) \\ & = P(cos(Y) \le x) \\ & = P(Y \le arccos(x))...

Hello, I 'm trying to express the PDF of z (z ≥ 0) where z = x-y (and let x,y ≥ 0) Thank you in advance