Length of the hypotenuse
Given short sides of lengths a and b, calculate the length c of the hypotenuse of the right-angled triangle.
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Triangle Numbers
Triangle numbers are the sums of successive integers. So 6 is a triangle number because
6 = 1 + 2 + 3
which can be displayed ...
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Generate a vector like 1,2,2,3,3,3,4,4,4,4
Generate a vector like 1,2,2,3,3,3,4,4,4,4
So if n = 3, then return
[1 2 2 3 3 3]
And if n = 5, then return
[1 2 2 3 3 3 4...
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Make the vector [1 2 3 4 5 6 7 8 9 10]
In MATLAB, you create a vector by enclosing the elements in square brackets like so:
x = [1 2 3 4]
Commas are optional, s...
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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?
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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)
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Sum of series VI
What is the sum of the following sequence:
Σk⋅k! for k=1...n
for different n?
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Sum of series V
What is the sum of the following sequence:
Σk(k+1) for k=1...n
for different n?
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Sum of series IV
What is the sum of the following sequence:
Σ(-1)^(k+1) (2k-1)^2 for k=1...n
for different n?
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Sum of series III
What is the sum of the following sequence:
Σ(2k-1)^3 for k=1...n
for different n?
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Sum of series II
What is the sum of the following sequence:
Σ(2k-1)^2 for k=1...n
for different n?
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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?
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Finding Perfect Squares
Given a vector of numbers, return true if one of the numbers is a square of one of the numbers. Otherwise return false.
Example...