# Appendix a to applied probability: directory of m-functions and m  (Page 14/24)

 Page 14 / 24

jcalcf.m function [x,y,t,u,px,py,p] = jcalcf(X,Y,P) is a function version of jcalc, which allows arbitrary naming of variables.

function [x,y,t,u,px,py,p] = jcalcf(X,Y,P)% JCALCF [x,y,t,u,px,py,p] = jcalcf(X,Y,P) Function version of jcalc% Version of 5/3/95 % Allows arbitrary naming of variablesif sum(size(P) ~= [length(Y) length(X)])>0 error(' Incompatible vector sizes')end x = X;y = Y; p = P;px = sum(P); py = fliplr(sum(P'));[t,u] = meshgrid(X,fliplr(Y));

jointzw.m Sets up joint distribution for $Z=g\left(X,Y\right)$ and $W=h\left(X,Y\right)$ and provides calculating matrices as in jcalc. Inputs are $P,X$ , and Y as well as array expressions for $g\left(t,u\right)$ and $h\left(t,u\right)$ . Outputs are matrices $Z,W,PZW$ for the joint distribution, marginal probabilities $PZ,PW$ , and the calculating matrices $v,w$ .

% JOINTZW file jointzw.m Joint dbn for two functions of (X,Y) % Version of 4/29/97% Obtains joint distribution for % Z = g(X,Y) and W = h(X,Y)% Inputs P, X, and Y as well as array % expressions for g(t,u) and h(t,u)P = input('Enter joint prob for (X,Y) '); X = input('Enter values for X ');Y = input('Enter values for Y '); [t,u]= meshgrid(X,fliplr(Y)); G = input('Enter expression for g(t,u) ');H = input('Enter expression for h(t,u) '); [Z,PZ]= csort(G,P); [W,PW]= csort(H,P); r = length(W);c = length(Z); PZW = zeros(r,c);for i = 1:r for j = 1:ca = find((G==Z(j))&(H==W(i))); if ~isempty(a)PZW(i,j) = total(P(a)); endend endPZW = flipud(PZW); [v,w]= meshgrid(Z,fliplr(W)); if (G==t)&(H==u) disp(' ')disp(' Note: Z = X and W = Y') disp(' ')elseif G==t disp(' ')disp(' Note: Z = X') disp(' ')elseif H==u disp(' ')disp(' Note: W = Y') disp(' ')end disp('Use array operations on Z, W, PZ, PW, v, w, PZW')

jdtest.m Tests a joint probability matrix P for negative entries and unit total probability..

function y = jdtest(P) % JDTEST y = jdtest(P) Tests P for unit total and negative elements% Version of 10/8/93 M = min(min(P));S = sum(sum(P));if M<0 y = 'Negative entries';elseif abs(1 - S)>1e-7 y = 'Probabilities do not sum to one';else y = 'P is a valid distribution';end

## Setup for general random variables

tappr.m Uses the density function to set up a discrete approximation to the distribution for absolutely continuous random variable X .

% TAPPR file tappr.m Discrete approximation to ac random variable % Version of 4/16/94% Sets up discrete approximation to distribution for % absolutely continuous random variable X% Density is entered as a function of t r = input('Enter matrix [a b]of x-range endpoints '); n = input('Enter number of x approximation points ');d = (r(2) - r(1))/n; t = (r(1):d:r(2)-d) +d/2;PX = input('Enter density as a function of t '); PX = PX*d;PX = PX/sum(PX); X = t;disp('Use row matrices X and PX as in the simple case')

tuappr.m Uses the joint density to set up discrete approximations to $X,Y,t,u$ , and density.

% TUAPPR file tuappr.m Discrete approximation to joint ac pair % Version of 2/20/96% Joint density entered as a function of t, u % Sets up discrete approximations to X, Y, t, u, and densityrx = input('Enter matrix [a b] of X-range endpoints ');ry = input('Enter matrix [c d] of Y-range endpoints ');nx = input('Enter number of X approximation points '); ny = input('Enter number of Y approximation points ');dx = (rx(2) - rx(1))/nx; dy = (ry(2) - ry(1))/ny;X = (rx(1):dx:rx(2)-dx) + dx/2; Y = (ry(1):dy:ry(2)-dy) + dy/2;[t,u] = meshgrid(X,fliplr(Y));P = input('Enter expression for joint density '); P = dx*dy*P;P = P/sum(sum(P)); PX = sum(P);PY = fliplr(sum(P')); disp('Use array operations on X, Y, PX, PY, t, u, and P')

#### Questions & Answers

how can chip be made from sand
Eke Reply
is this allso about nanoscale material
Almas
are nano particles real
Missy Reply
yeah
Joseph
Hello, if I study Physics teacher in bachelor, can I study Nanotechnology in master?
Lale Reply
no can't
Lohitha
where is the latest information on a no technology how can I find it
William
currently
William
where we get a research paper on Nano chemistry....?
Maira Reply
nanopartical of organic/inorganic / physical chemistry , pdf / thesis / review
Ali
what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
Google
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
hey
Giriraj
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
revolt
da
Application of nanotechnology in medicine
has a lot of application modern world
Kamaluddeen
yes
narayan
what is variations in raman spectra for nanomaterials
Jyoti Reply
ya I also want to know the raman spectra
Bhagvanji
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
A fair die is tossed 180 times. Find the probability P that the face 6 will appear between 29 and 32 times inclusive
Samson Reply

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Source:  OpenStax, Applied probability. OpenStax CNX. Aug 31, 2009 Download for free at http://cnx.org/content/col10708/1.6
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