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A Binary Search
One way to locate a target value in a sorted array, is to use a binary search algorithm. Here, you test if the midpoint in the a...

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Estimating Euler's (Oi-ler-z) Number
Euler's number is an irrational constant given by Starting with x=0, count the number of times you can add a uniformly distrib...

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Next Tribonacci Number
The "Tribonacci" sequence is an extension of the idea of the Fibonacci sequence: That is, each new term is the sum of the thr...

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Sum of series IX
What is the sum of the following sequence: Σ 1/k! for k=1...n for different n?

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Sum of series VIII

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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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Is this triangle right-angled?
Given three positive numbers a, b, c, where c is the largest number, return true if the triangle with sides a, b and c is right-...

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Side of an equilateral triangle
If an equilateral triangle has area A, then what is the length of each of its sides, x? Image courtesy of Wikipedia.

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Length of a short side
Calculate the length of the short side, a, of a right-angled triangle with hypotenuse of length c, and other short side of lengt...

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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 ...

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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 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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Force and Motion 3
Two robots push on a large object in the same direction. One robot pushes with a force of F1 Newtons and the other with a force...

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Force and Motion 2
Two robots are pulling on an object in opposite directions. One robot pulls with a force of F1 Newtons and the other with a forc...

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Laws of motion 6

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Laws of motion 3

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Add two numbers
Given a and b, return the sum a+b in c.

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Generate Tribonacci Sequence
The "Tribonacci" sequence is an extension of the idea of the Fibonacci sequence: That is, each new term is the sum of the thr...

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Generate Pascal's Triangle Matrix
Pascal's triangle is an arrangement of numbers where each value is the sum of the values adjacent to it in the previous row: ...

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Interpolated Value Between Two Points
Given two points, and , a new location x, and a method "linear" or "cubic", return the value of a linear or cubic interpolant t...

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Where the Four Corners Am I? (Vectorized)
NOTE: this problem is intended to build on problem #55960 ("Where the Four Corners Am I?"). You may wish to solve that problem f...

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Where the Four Corners Am I?
The "Four Corners" region of the US is where Colorado, Utah, Arizona, and New Mexico all meet - the only place where four states...

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Taylor Series
You can use a Taylor series to approximate common functions. The Taylor series for sin(x) is Using only the first several te...

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Calculate Angle From Axis
Given coordinates x and y, an axis ("X" or "Y"), and a direction ("cw" or "ccw", meaning clockwise and counterclockwise, respect...

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Find the maximum number of decimal places in a set of numbers
Given a vector or matrix of values, calculate the maximum number of decimal places within the input. Trailing zeros do not count...

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