# Appendix a to applied probability: directory of m-functions and m  (Page 13/24)

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canonic.m The procedure determines the distribution for a simple random variable in affine form, when the minterm probabilities are available. Input data are a row vector of coefficientsfor the indicator functions in the affine form (with the constant value last) and a row vector of the probabilities of the minterm generated by the events. Results consist of a row vector of values and arow vector of the corresponding probabilities.

% CANONIC file canonic.m Distribution for simple rv in affine form % Version of 6/12/95% Determines the distribution for a simple random variable % in affine form, when the minterm probabilities are available.% Uses the m-functions mintable and csort. % The coefficient vector must contain the constant term. % If the constant term is zero, enter 0 in the last place.c = input(' Enter row vector of coefficients '); pm = input(' Enter row vector of minterm probabilities ');n = length(c) - 1; if 2^n ~= length(pm)error('Incorrect minterm probability vector length'); endM = mintable(n); % Provides a table of minterm patterns s = c(1:n)*M + c(n+1); % Evaluates X on each minterm[X,PX] = csort(s,pm); % s = values; pm = minterm probabilitiesXDBN = [X;PX]';disp('Use row matrices X and PX for calculations') disp('Call for XDBN to view the distribution')

canonicf.m function [x,px] = canonicf(c,pm) is a function version of canonic, which allows arbitrary naming of variables.

function [x,px] = canonicf(c,pm)% CANONICF [x,px] = canonicf(c,pm) Function version of canonic% Version of 6/12/95 % Allows arbitrary naming of variablesn = length(c) - 1; if 2^n ~= length(pm)error('Incorrect minterm probability vector length'); endM = mintable(n); % Provides a table of minterm patterns s = c(1:n)*M + c(n+1); % Evaluates X on each minterm[x,px] = csort(s,pm); % s = values; pm = minterm probabilities

jcalc.m Sets up for calculations for joint simple random variables. The matrix P of $P\left(X={t}_{i},Y={u}_{j}\right)$ is arranged as on the plane (i.e., values of Y increase upward). The MATLAB function meshgrid is applied to the row matrix X and the reversed row matrix for Y to put an appropriate X -value and Y -value at each position. These are in the “calculating matrices” t and u , respectively, which are used in determining probabilities and expectations of various functions of $t,u$ .

% JCALC file jcalc.m Calculation setup for joint simple rv % Version of 4/7/95 (Update of prompt and display 5/1/95)% Setup for calculations for joint simple random variables % The joint probabilities arranged as on the plane% (top row corresponds to largest value of Y) P = input('Enter JOINT PROBABILITIES (as on the plane) ');X = input('Enter row matrix of VALUES of X '); Y = input('Enter row matrix of VALUES of Y ');PX = sum(P); % probabilities for X PY = fliplr(sum(P')); % probabilities for Y[t,u] = meshgrid(X,fliplr(Y));disp(' Use array operations on matrices X, Y, PX, PY, t, u, and P')

How we are making nano material?
what is a peer
What is meant by 'nano scale'?
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
what is Nano technology ?
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
Is there any normative that regulates the use of silver nanoparticles?
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
why we need to study biomolecules, molecular biology in nanotechnology?
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
why?
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
what does nano mean?
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
it is a goid question and i want to know the answer as well
Maciej
Abigail
for teaching engĺish at school how nano technology help us
Anassong
How can I make nanorobot?
Lily
Do somebody tell me a best nano engineering book for beginners?
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
how can I make nanorobot?
Lily
what is fullerene does it is used to make bukky balls
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
A fair die is tossed 180 times. Find the probability P that the face 6 will appear between 29 and 32 times inclusive