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...
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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...
Pi Estimate 1
Estimate Pi as described in the following link:
<http://www.people.virginia.edu/~teh1m/cody/Pi_estimation1.pdf>
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Calculate area of sector
A=function(r,seta)
r is radius of sector, seta is angle of sector, and A is its area. Area of sector A is defined as 0.5*(r^2...
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Pizza!
Given a circular pizza with radius z and thickness a, return the pizza's volume. [ z is first input argument.]
Non-scored bonus...
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Basic Physics X
Calculate the Kinetic Energy (KE) by Weight (w), Distanec (d), and Time (t) without Mass (m) or Speed (v).
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Basic Physics IX
Calculate the Kinetic Energy (KE) by Weight (w) instead of Mass (m).
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Basic Physics VIII
Calculate the Mechanical Energy (ME) when the point is B.
Basic Physics I
Calculate the energy by the famous formula of Albert Einstein.
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Vector creation
Create a vector using square brackets going from 1 to the given value x in steps on 1.
Hint: use increment.
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Doubling elements in a vector
Given the vector A, return B in which all numbers in A are doubling. So for:
A = [ 1 5 8 ]
then
B = [ 1 1 5 ...
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Create a vector
Create a vector from 0 to n by intervals of 2.
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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...
Compute Farey sequences
Problem statement
The Farey sequence of order consists of fractions between 0 and 1 expressed in reduced form in increasing or...
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Decimation
When dealing to the Roman Army, the term decimate meant that the entire unit would be broken up into groups of ten soldiers, and...