14-440-127 Lecture 9 Notes

14-440-127 Lecture 9 Notes - 14:440:127 Introduction to...

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Unformatted text preview: 14:440:127 Introduction to Computers for Engineers Notes for Lecture 9 Rutgers University, Fall 2008 Instructor- Blase E. Ur Dont forget that Exam 2 runs 11/5 - 11/11. Whats the best way to study? DOING the recitation problems, and then looking up the answers if you get stuck. 1 Review- Loops 1.1 For Loops Sometimes, youll know exactly how many times you need to perform some action. Take the fol- lowing example: Display the numbers from 1 to 100, individually. Rather than type ( disp(1); disp(2); disp(3)...) and so on, you could just use a for loop. A for loop lets you specify that Matlab perform some repetitive action over and over, changing one variable each time. Heres the syntax: for VARIABLE = VECTOR % replace capitalized parts STATEMENTS % replace capitalized parts end for x = 1:100 disp(x) end The first time you go through the loop, x will be 1. The next time you go through the loop, x will be 2, and so on, until the loop runs one final time with x equal to 100. Note that when youre writing a for loop and youre not sure how to write it, try writing out each statement individually and look for the pattern: v(1)=1; %fibonacci v(2)=1; v(3)=v(2)+v(1); v(4)=v(3)+v(2); v(5)=v(4)+v(3); % What is the pattern? for x=3:100 v(x)=v(x-1)+v(x-2); end Whenever youre using a loop to find any sort of sum, youll need to have some variable that keeps track of the running total. Here, that variable is s , and this for loop sums the odd numbers from 1 to 99 s = 0; for z = 1:3:99 s = s+z; end disp(z) Of course, if statements (or any other Matlab statements youve seen) can be used in a loop. i.e. if you wanted to sum all of the prime numbers from 1 to 1000 using a loop, you could do the following: s = 0; for x = 1:1000 if(isprime(x)) s = s+x; end end 1.2 While Loops While a for loop lets you repeat some segment of code a specified number of times, a while loop lets you repeat some segment of code until a particular condition is false. While the condition is true, Matlab will loop through that code. Heres the syntax for a while loop: while(CONDITION) % replace capitalized parts STATEMENTS % replace capitalized parts end Example: Use a while loop to keep generating random numbers until you find one that is between .5 and .7. Also, display how many numbers you had to generate: n=rand(1); count=1; while(n<0.5 | n>0.7) n=rand(1); count=count+1; end disp(n) disp(count) Example: If you add the integers 1 through n, what is the smallest n for which the sum is a 3 digit number? s = 0; n=1; while(s<100) s = s+n; n=n+1; end fprintf(The smallest n is %.0f,n-1) Now, lets see how to write a for loop as a while loop . Theres a simple 3 step process! As our example, well use a for loop that displays all 4 digit twin primes (numbers separated by two that are both prime) for x = 1001:2:9997 if(isprime(x) & isprime(x+2)) fprintf(%.0f and %.0f are both prime\n,x,x+2) end end------------------------------------------------------...
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14-440-127 Lecture 9 Notes - 14:440:127 Introduction to...

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