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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?

2 years ago

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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?

2 years ago

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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?

2 years ago

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Generate Square Wave

Generate a square wave of desired length, number of complete cycles and duty cycle. Here, duty cycle is defined as the fraction ...

2 years ago

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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?

2 years ago

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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?

2 years ago

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Tic Tac Toe FTW

Given a tic tac toe board: * 1 represents X * 0 represents empty. * -1 represents O It is X's move. If there is an imme...

2 years ago

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Perimeter of a semicircle

Given the diameter d, find the perimeter of a semicircle

2 years ago

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Given a square and a circle, please decide whether the square covers more area.

You know the side of a square and the diameter of a circle, please decide whether the square covers more area.

2 years ago

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Approximation of Pi (vector inputs)

Pi (divided by 4) can be approximated by the following infinite series: pi/4 = 1 - 1/3 + 1/5 - 1/7 + ... For a given numbe...

2 years ago

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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 numbe...

2 years ago

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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...

2 years ago

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radius of a spherical planet

You just measured its surface area, that is the input.

2 years ago

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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...

2 years ago

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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>

2 years ago

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Find the sides of an isosceles triangle when given its area and height from its base to apex

Find the sides of an isosceles triangle when given its area and the height from its base to apex. For example, with A=12 and ...

2 years ago

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Can we make a triangle?

Given three positive number, check whether a triangle can be made with these sides length or not. remember that in a triangle su...

2 years ago

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Height of a right-angled triangle

Given numbers a, b and c, find the height of the right angled triangle with sides a and b and hypotenuse c, for the base c. If a...

2 years ago

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Right Triangle Side Lengths (Inspired by Project Euler Problem 39)

If _p_ is the perimeter of a right angle triangle with integral length sides, { _a_, _b_, _c_ }, there are exactly three solutio...

2 years ago

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Is the Point in a Triangle?

Check whether a point or multiple points is/are in a triangle with three corners Points = [x, y]; Triangle = [x1, y1; x...

2 years ago

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Find my daddy long leg (No 's')

Given the ratio of the two legs (longer / shorter), and the hypotenuse length, find the value of the bigger leg.

2 years ago

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Calculate the area of a triangle between three points

Calculate the area of a triangle between three points: P1(X1,Y1) P2(X2,Y2) P3(X3,Y3) these three points are the vert...

2 years ago

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Fill a zeros matrix

The aim is to fill an array of all zeros given a numerical value and the index of row and columns for this value. 3 Inputs: ...

2 years ago

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Alternately upper-lower case

Modify the string to alternate between upper and lower case. For example, s='achyuta' output='AcHyUtA'

2 years ago

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most frequent character

Obtain the most frequent character. For example, s='balaram'; output='a'; If there is a tie between letters, return t...

2 years ago

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Split a given string from the first instance of a given character

A simple operation to split a given string into two substrings at the point where the desired character is first found. e.g. ...

2 years ago

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Backslang, odds are you used it at some point in time...

So backslang is a language that can be used to communicate in an easy decode code, if people know the rules of decoding it. Wel...

2 years ago

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Concatenate strings

concatenate a variable number of input strings to produce one outputstring

2 years ago