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Sort a list of complex numbers based on far they are from the origin.
Given a list of complex numbers z, return a list zSorted such that the numbers that are farthest from the origin (0+0i) appear f...

1 year ago

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Nearest Numbers
Given a row vector of numbers, find the indices of the two nearest numbers. Examples: [index1 index2] = nearestNumbers([2 5 3...

1 year ago

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Basic Mathematics 1
If a robot is traveling on a north heading at v1 inches per second and has the ability to only make N degree changes in directio...

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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 ...

1 year 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...

1 year 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...

1 year 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...

1 year ago

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Basic Mathematics 6
A High School is trying to build their robot to be able to reach the hanging object which is H inches from the ground. Their ro...

1 year ago

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Circular Primes (based on Project Euler, problem 35)
The number, 197, is called a circular prime because all rotations of the digits: 197, 971, and 719, are themselves prime. The...

1 year ago

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Make a vector of prime numbers
Input(n) - length of vector with prime numbers Output(v) - vector of prime numbers Example: * n=1; v=2 * n=3; v=[2 3 5...

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Find the next prime number
Find the next prime number or numbers for given n. For example: n = 1; out = 2; or n = [5 7]; out = [7 11]; ...

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The Goldbach Conjecture
The <http://en.wikipedia.org/wiki/Goldbach's_conjecture Goldbach conjecture> asserts that every even integer greater than 2 can ...

1 year ago

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Largest Twin Primes
<http://en.wikipedia.org/wiki/Twin_prime Twin primes> are primes p1, p2 = p1 + 2 such that both p1 and p2 are prime numbers. Giv...

1 year ago

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Mersenne Primes vs. All Primes
A Mersenne prime (M) is a prime number of the form M = 2^p - 1, where p is another prime number. <https://www.mathworks.com/matl...

1 year ago

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Mersenne Primes
A Mersenne prime is a prime number of the form M = 2^p - 1, where p is another prime number. For example, 31 is a Mersenne prim...

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Find nearest prime number less than input number
Find nearest prime number less than input number. For example: if the input number is 125, then the nearest prime number whi...

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Sophie Germain prime
In number theory, a prime number p is a *Sophie Germain prime* if 2p + 1 is also prime. For example, 23 is a Sophie Germain prim...

1 year ago

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Longest run of consecutive numbers
Given a vector a, find the number(s) that is/are repeated consecutively most often. For example, if you have a = [1 2 2 2 1 ...

1 year ago

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Pascal's Matrix
Given an integer n &ge; 0, generate the ( _n_+1) &times; ( _n_+1) lower triangular <http://en.wikipedia.org/wiki/Pascal_matrix P...

1 year ago

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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: ...

1 year ago

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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...

1 year ago

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Split Even Number Into Two Primes
Given an even whole number n (> 2), return a 2-element vector of primes, p, such that p(1) + p(2) = n. Fun note: technically it...

1 year ago

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"Look and say" sequence
What's the next number in this sequence? * [0] * [1 0] * [1 1 1 0] * [3 1 1 0] * [1 3 2 1 1 0] This a variant on the w...

1 year ago

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Square Digits Number Chain Terminal Value (Inspired by Project Euler Problem 92)
Given a number _n_, return the terminal value of the number chain formed by summing the square of the digits. According to the P...

1 year ago

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Golomb's self-describing sequence (based on Euler 341)
The Golomb's self-describing sequence {G(n)} is the only nondecreasing sequence of natural numbers such that n appears exactly G...

1 year ago

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Alternating sum
Given vector x, calculate the alternating sum y = x(1) - x(2) + x(3) - x(4) + ...

1 year ago

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Triangle Numbers Below N
This is an offshoot of <http://www.mathworks.com/matlabcentral/cody/problems/5-triangle-numbers Cody Problem 5: Triangle Numbers...

1 year ago

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Most nonzero elements in row
Given the matrix a, return the index r of the row with the most nonzero elements. Assume there will always be exactly one row th...

1 year ago

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Pascal's Triangle
Given an integer n >= 0, generate the length n+1 row vector representing the n-th row of <http://en.wikipedia.org/wiki/Pascals_t...

1 year ago

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Make a Palindrome Number
Some numbers like 323 are palindromes. Other numbers like 124 are not. But look what happens when we add that number to a revers...

1 year ago

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