# Appendix a to applied probability: directory of m-functions and m  (Page 8/24)

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multinom.m Multinomial distribution (small $N,m$ ).

% MULTINOM file multinom.m Multinomial distribution % Version of 8/24/96% Multinomial distribution (small N, m) N = input('Enter the number of trials ');m = input('Enter the number of types '); p = input('Enter the type probabilities ');M = 1:m; T = zeros(m^N,N);for i = 1:N a = rowcopy(M,m^(i-1));a = a(:); a = colcopy(a,m^(N-i));T(:,N-i+1) = a(:); % All possible strings of the types endMT = zeros(m^N,m); for i = 1:mMT(:,i) = sum(T'==i)'; endclear T % To conserve memory disp('String frequencies for type k are in column matrix MT(:,k)')P = zeros(m^N,N); for i = 1:Na = rowcopy(p,m^(i-1)); a = a(:);a = colcopy(a,m^(N-i)); P(:,N-i+1) = a(:); % Strings of type probabilitiesend PS = prod(P'); % Probability of each stringclear P % To conserve memory disp('String probabilities are in row matrix PS')

## Some matching problems

Cardmatch.m Sampling to estimate the probability of one or more matches when one card is drawn from each of $nd$ identical decks of c cards. The number $ns$ of samples is specified.

% CARDMATCH file cardmatch.m Prob of matches in cards from identical decks % Version of 6/27/97% Estimates the probability of one or more matches % in drawing cards from nd decks of c cards each% Produces a supersample of size n = nd*ns, where % ns is the number of samples% Each sample is sorted, and then tested for differences % between adjacent elements. Matches are indicated by% zero differences between adjacent elements in sorted sample c = input('Enter the number c of cards in a deck ');nd = input('Enter the number nd of decks '); ns = input('Enter the number ns of sample runs ');X = 1:c; % Population values PX = (1/c)*ones(1,c); % Population probabilitiesN = nd*ns; % Length of supersample U = rand(1,N); % Matrix of n random numbersT = dquant(X,PX,U); % Supersample obtained with quantile function; % the function dquant determines quantile% function values of random number sequence U ex = sum(T)/N; % Sample averageEX = dot(X,PX); % Population mean vx = sum(T.^2)/N - ex^2; % Sample varianceVX = dot(X.^2,PX) - EX^2; % Population variance A = reshape(T,nd,ns); % Chops supersample into ns samples of size ndDS = diff(sort(A)); % Sorts each sample m = sum(DS==0)>0; % Differences between elements in each sample % Zero difference iff there is a matchpm = sum(m)/ns; % Fraction of samples with one or more matches Pm = 1 - comb(c,nd)*gamma(nd + 1)/c^(nd); % Theoretical probability of matchdisp('The sample is in column vector T') % Displays of results disp(['Sample average ex = ', num2str(ex),]) disp(['Population mean E(X) = ',num2str(EX),]) disp(['Sample variance vx = ',num2str(vx),]) disp(['Population variance V(X) = ',num2str(VX),]) disp(['Fraction of samples with one or more matches pm = ', num2str(pm),]) disp(['Probability of one or more matches in a sample Pm = ', num2str(Pm),])

where we get a research paper on Nano chemistry....?
nanopartical of organic/inorganic / physical chemistry , pdf / thesis / review
Ali
what are the products of Nano chemistry?
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
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
revolt
da
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
ya I also want to know the raman spectra
Bhagvanji
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
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
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
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 ?
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
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