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Risolto
Determine if vector has any zeroes
Return 1 if vector has atleast 1 zero, else return 0
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List unitary divisors of a number
A unitary divisor of a number divides and satisfies gcd(,) = 1. For example, 9 is a unitary divisor of 18 because gcd(9,2) = ...
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Harmonic series counting
The function takes a positive limit as input, And counts how many terms must be summed in the harmonic series: 1/1, 1/2, 1/3, ...
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Compute a nested cube root
Consider the quantity . Write a function to compute without using loops or recursion.
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Determine if input is a Harshad number
In mathematics a harshad number (or Niven number) in a given number base is an integer that is divisible by the sum of its digit...
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Compute the area of the shoemaker’s knife
A shape resembling a shoemaker’s knife is constructed from a semicircle with diameter with two semicircular “bites” of diameter...
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Cricket - Sort Batters by Distance Run
Given a string vector of batters' names, a vector of the total number of runs they scored, a vector of the number of 4s they sco...
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Initialize a varible with an integer value from a another variable which is assigned with a character value.
Initialize a varible with an integer value from a another variable which is assigned with a character value. ex: Test = 'c'...
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Bernoulli's Triangle
Generate the bernoulli's triangle upto nth row. <https://mathworld.wolfram.com/BernoulliTriangle.html>
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King's Cage
Given the position of the king on the chessboard, determine the minimum number of steps it'll require to reach the destination. ...
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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 ...
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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...
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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...
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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...
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Calculate load on arm 1
A robot is designed with a motor directly attached at the pivot point of the lifting arm. The L inch arm has a weight of W1 lbs...
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Mechanical Advantage of a Gear Train
Calculate the mechanical advantage of a gear train. The mechanical advantage of a gear couple is given by MA = T_o/T_i where ...
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Magnitude of Balancing Force
A box weighing W1 pounds is placed where its center of mass is located d1 ft from the fulcrum. A balancing force is placed at th...
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Find Air Temperature from Cricket Stridulation Rate
Stridulation is the process that creates a cricket's “chirp” by rubbing their wings or legs. According to the Old Farmer's Alma...
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Factorions: Numbers that equal the sum of the factorials of their digits
From Wikipedia: _A factorion is a natural number that equals the sum of the factorials of its decimal digits_ For example: ...
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Dudeney Numbers: Numbers which are the cube of their decimal sum
From Wikipedia: _A Dudeney number is a positive integer that is a perfect cube such that the sum of its decimal digits is equa...
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Ordinary Annuity : Number of Payments (Present Value)
Theorem : Present Value of an Ordinary Annuity where; P : Present value of all payments A : Periodic payment r : Interest ...
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Ordinary Annuity : Rate (Present Value)
Theorem : Present Value of an Ordinary Annuity where; P : Present value of all payments A : Periodic payment r : Interest ...
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Ordinary Annuity : Rate (Future Value)
Theorem : Future Value of an Ordinary Annuity where; F : Future value A : Periodic payment r : Rate per period n : Numbe...
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Ordinary Annuity : Periodic Payment (Present Value)
Theorem : Present Value of an Ordinary Annuity where; P : Present value of all payments A : Periodic payment r : Interest ...
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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...
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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...
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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...
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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 ...
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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...
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