Is the Zeroes Function here necessary?

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Here is the code:
nuclei=zeros(1,100);
t=nuclei;
nuclei(1)=input('Enter initial number of nuclei: ');
t(1)=0;
t_c=input('Enter time constant: ');
dt=input('Time step: ');
for i=1:99
nuclei(i+1)=nuclei(i)-(nuclei(i)/t_c)*dt;
t(i+1)=t(i)+dt;
end
plot(t,nuclei,'-ok','MarkerFaceColor','k')
xlabel('Number of Nuclei','FontWeight','bold')
ylabel('time(s)','FontWeight','bold')
title('Radioactive Decay Number of nuclei versus time')
str1=['Time Constant= ' num2str(t_c) ' s '];
str2=['Time Step= ' num2str(dt) ' s'];
text(t(50),nuclei(10),str1,'FontWeight','bold','FontSize',14)
text(t(50),nuclei(20),str2,'FontWeight','bold','FontSize',14)
I have plots that result from this code, and this code with that first line removed, and they appear to be the same. Is that first line necessary? If so, why?

采纳的回答

Greg
Greg 2018-2-21
It's called pre-allocation. It is always a good idea to pre-allocate. If you need a quick proof, throw a tic / toc around the code with and without the zeros line. It'll get noticeably faster as the number of loop iterations grows.

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