# Appendix a to applied probability: directory of m-functions and m  (Page 6/24)

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ckn.m function y = ckn(P,k) determines the probability of the occurrence of k or more of the n independent events whose probabilities are in row or column vector P ( k may be a row or column vector)

function y = ckn(P,k) % CKN y = ckn(P,k) Probability of k or more successes% Version of 5/15/95 % Probabilities of k or more of n independent events% Uses the m-functions mintable, minprob, csort n = length(P);m = length(k); T = sum(mintable(n)); % The number of successes in each mintermpm = minprob(P); % The probability of each minterm [t,p]= csort(T,pm); % Sorts and consolidates success numbers % and adds corresponding probabilitiesfor i = 1:m % Sums probabilities for each k value y(i) = sum(p(k(i)+1:n+1));end

parallel.m function y = parallel(p) determines the probability of a parallel combination of the independent events whose probabilities are in row or columnvector p .

function y = parallel(p) % PARALLEL y = parallel(p) Probaaability of parallel combination% Version of 3/3/93 % Probability of parallel combination.% Individual probabilities in row matrix p. y = 1 - prod(1 - p);

## Conditional probability and conditional idependence

bayes.m produces a Bayesian reversal of conditional probabilities. The input consists of $P\left(E|{A}_{i}\right)$ and $P\left({A}_{i}\right)$ for a disjoint class $\left\{{A}_{i}:1\le i\le n\right\}$ whose union contains E . The procedure calculates $P\left({A}_{i}|E\right)$ and $P\left({A}_{i}|{E}^{c}\right)$ for $1\le i\le n$ .

% BAYES file bayes.m Bayesian reversal of conditional probabilities % Version of 7/6/93% Input P(E|Ai) and P(Ai) % Calculates P(Ai|E) and P(Ai|Ec)disp('Requires input PEA = [P(E|A1) P(E|A2) ... P(E|An)]')disp(' and PA = [P(A1) P(A2) ... P(An)]')disp('Determines PAE = [P(A1|E) P(A2|E) ... P(An|E)]')disp(' and PAEc = [P(A1|Ec) P(A2|Ec) ... P(An|Ec)]')PEA = input('Enter matrix PEA of conditional probabilities '); PA = input('Enter matrix PA of probabilities ');PE = PEA*PA'; PAE = (PEA.*PA)/PE;PAEc = ((1 - PEA).*PA)/(1 - PE); disp(' ')disp(['P(E) = ',num2str(PE),])disp(' ') disp(' P(E|Ai) P(Ai) P(Ai|E) P(Ai|Ec)')disp([PEA; PA; PAE; PAEc]')disp('Various quantities are in the matrices PEA, PA, PAE, PAEc, named above')

odds.m The procedure calculates posterior odds for for a specified profile E . Assumes data have been entered by the procedure oddsf or oddsp .

% ODDS file odds.m Posterior odds for profile % Version of 12/4/93% Calculates posterior odds for profile E % Assumes data has been entered by oddsdf or oddsdpE = input('Enter profile matrix E '); C = diag(a(:,E))'; % aa = a(:,E) is an n by n matrix whose ith columnD = diag(b(:,E))'; % is the E(i)th column of a. The elements on the % diagonal are b(i, E(i)), 1<= i<= n % Similarly for b(:,E)R = prod(C./D)*(p1/p2); % Calculates posterior odds for profile disp(' ')disp(['Odds favoring Group 1: ',num2str(R),])if R>1 disp('Classify in Group 1')else disp('Classify in Group 2')end

I only see partial conversation and what's the question here!
what about nanotechnology for water purification
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
what is the stm
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?
what is a peer
What is meant by 'nano scale'?
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
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
how did you get the value of 2000N.What calculations are needed to arrive at it
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A fair die is tossed 180 times. Find the probability P that the face 6 will appear between 29 and 32 times inclusive