Sum of series
a(n) = n^2 - (n-1)^2
find the summation of the series upto n i.e.
a(1)+a(2)+...+a(n)
5ヶ月 前
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Sum of series VII
What is the sum of the following sequence:
Σ(km^k)/(k+m)! for k=1...n
for different n and m?
5ヶ月 前
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Return the Fibonacci Sequence
Write a code which returns the Fibonacci Sequence such that the largest value in the sequence is less than the input integer N. ...
5ヶ月 前
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Pi Digit Probability
Assume that the next digit of pi constant is determined by the historical digit distribution. What is the probability of next di...
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Plot Damped Sinusoid
Given two vectors |t| and |y|, make a plot containing a blue ( |b| ) dashed ( |--| ) line of |y| versus |t|.
Mark the minimum...
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Convert from Fahrenheit to Celsius
Given an input vector F containing temperature values in Fahrenheit, return an output vector C that contains the values in Celsi...
5ヶ月 前
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Create a figure and plot data
Given two data vectors (x,y), open a new figure and plot the data. Return the figure handle.
Magic is simple (for beginners)
Determine for a magic square of order n, the magic sum m. For example m=15 for a magic square of order 3.
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Differential equations I
Given a function handle |f| an initial condition |y0| and a final time |tf|, solve numerically the differential equation
dy...
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Fibonacci sequence
Calculate the nth Fibonacci number.
Given n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ...
Examples:
Input...
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Reverse the vector
Reverse the vector elements.
Example:
Input x = [1,2,3,4,5,6,7,8,9]
Output y = [9,8,7,6,5,4,3,2,1]
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Roll the Dice!
Description
Return two random integers between 1 and 6, inclusive, to simulate rolling 2 dice.
Example
[x1,x2] = rollDice(...
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Sum all integers from 1 to 2^n
Given the number x, y must be the summation of all integers from 1 to 2^x. For instance if x=2 then y must be 1+2+3+4=10.
5ヶ月 前
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Sum of series I
What is the sum of the following sequence:
Σ(2k-1) for k=1...n
for different n?
5ヶ月 前
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Pi Estimate 1
Estimate Pi as described in the following link:
<http://www.people.virginia.edu/~teh1m/cody/Pi_estimation1.pdf>
5ヶ月 前
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Approximation of Pi
Pi (divided by 4) can be approximated by the following infinite series:
pi/4 = 1 - 1/3 + 1/5 - 1/7 + ...
For a given number of...
Select every other element of a vector
Write a function which returns every other element of the vector passed in. That is, it returns the all odd-numbered elements, s...
Flip the vector from right to left
Flip the vector from right to left.
Examples
x=[1:5], then y=[5 4 3 2 1]
x=[1 4 6], then y=[6 4 1];
Request not to use d...