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Nth roots of unity
First, find the n nth roots of unity. eg if n = 6, find the n distinct (complex) numbers such that n^6 = 1. <https://en.wiki...

3 years ago

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Find Pseudo-Cyclic Number
A cyclic number is an integer in which cyclic permutations of the digits are successive multiples of the number https://en.wikip...

3 years ago

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Lah Numbers
Create a square lower diagonal matrix containing the first n Lah number coefficients. In mathematics, the Lah numbers are coeffi...

3 years ago

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Give me Hamming on five, hold the mayo
A Hamming Number is a positive number that has no prime factor greater than 5. Given a number X, determine how many Hamming num...

3 years ago

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Hilbert numbers
Given a positive integer, n, return h as follows: 1. If n is not a <https://en.wikipedia.org/wiki/Hilbert_number Hilbert numb...

3 years ago

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How brilliant are you?
A Brilliant number is defined as a number with two prime factors, both of which have the same number of digits. Some examples: ...

3 years ago

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Find two triangular numbers whose sum is input.
Find two triangular numbers whose sum is _input_. Note: The difference beetween the triangular numbers should be minimum.

3 years ago

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How many unique Pythagorean triples?
For a given integer |n|, return all <https://en.wikipedia.org/wiki/Pythagorean_triple Pythagorean triples> that inlude numbers s...

3 years ago

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Consecutive Powers
Return 2 numbers and 2 powers such that their difference is 1 A 4 element row vector is expected: x where x(1)^x(2) - x(...

3 years ago

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Polar Form Complex Number Entry
Write a function that takes the magnitude and angle(in degrees) of a complex number and returns a complex variable. Positive ang...

3 years ago

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Approximate e
Given a and n, compute and approximation to f = a * e ^ n, without the use of exp, string operations, or floating point numbers....

3 years ago

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Euler–Mascheroni constant
Approximate the Euler-Mascheroni constant using the series representation gamma_n=\sum_{k=1}^{n} [1/k-ln(1+1/k)] Calculat...

3 years ago

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Basic Mathematics 8
A robot is extending its arm and attempting to reach a game piece that is X” away and Yg ” off the ground. The base of the arm i...

3 years ago

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Basic Mathematics 2
If a 4’ x 8’ sheet of ½” plywood weighs W lbs and you cut an L” x L” robot base from this material, approximately how much weigh...

3 years ago

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Linear Motion 7
A robot has a maximum rate of acceleration of a m/s2. If the robot starts from rest and reaches a velocity of v2 m/s. How far ha...

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Linear Motion 6
An experimental vehicle traveling at v1 m/s is brought to a full stop in t seconds. How far does it travel before stopping? Roun...

3 years ago

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Linear Motion 5
A robot moving down an incline for 3 seconds undergoes a uniform acceleration of a ft/s2. If the robot has an initial velocity o...

3 years ago

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Linear Motion 4
A robot accelerates at a rate of A ft/s2. Assuming the robot starts from rest how much time is required to reach an object loca...

3 years ago

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Linear Motion 3
Suppose a robot is moving in a straight line and steadily increases its speed. It moves from v1 ft/s to v1+2 ft/s in the first ...

3 years ago

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Linear Motion 2
During testing in the desert, a remotely operated vehicle travels D kilometers over rough terrain. The testing takes place over...

3 years ago

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Linear Motion 1
An object travels N feet in the first second of travel, N feet again during the second second of travel and N feet again during ...

3 years ago

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Coefficient of Static friction
The coefficient of static friction between two surfaces is u. What force must be used to move a W lb. crate on a horizontal sur...

3 years ago

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Coefficient of Sliding Friction
A weight of W1 N rests on a horizontal plane. The plane is gradually inclined until at an angle θ = Ao with the horizontal, the ...

3 years ago

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Calculate the acceleration of a crate
What is the acceleration of a crate if two robots apply F1 N and F2 N of force respectively and a frictional force of FR N acts ...

3 years ago

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Coefficient of Kinetic friction
A robot exerts a F1 lb. force horizontally on a W lb. crate across a concrete floor at a constant speed. What is the coefficien...

3 years ago

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Find the force required to support a lever
Students are designing a robot that will lift a block to the equilibrium position for transport to the scoring area. They have d...

3 years ago

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Find the mass of a rod
Determine the mass (in grams) of a rod of length L cm if it is in equilibrium per the diagram. In the diagram L1, L2, L3 are di...

3 years ago

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Use a timetable to analyze a train timetable (Part 5)
You are analyzing a train timetable (you have some time to kill since you just missed your train!) How many trains depart each d...

3 years ago

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Use a timetable to analyze a train timetable (Part 4)
You are analyzing a train timetable (you have some time to kill since you just missed your train!) What is the average daily tri...

3 years ago

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Use a timetable to analyze a train timetable (Part 3)
Oh no, you missed your train to Boston (again?)! How many times can you miss that train today? (In other words, how many Boston ...

3 years ago