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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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Evaluate the generalized hypergeometric function

The <https://en.wikipedia.org/wiki/Generalized_hypergeometric_function generalized hypergeometric function> is defined as <<...

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Evaluate the Kelvin functions

The Kelvin functions ber, bei, ker, and kei are related to Bessel functions of order . When the order is not specified, the defa...

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Compute the fractional derivative

Cody Problem 1370 asks us to compute the derivative of a polynomial. This problem extends that idea to fractional derivatives, w...

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List the cuban primes

The number 61 is a cuban prime because it is prime and the difference two cubes, 64 and 125. Write a function to list the cuba...

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List the semiprimes

A semiprime number—or a 2-almost prime—is the product of two prime numbers. The numbers and are semiprimes, but and are not....

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Dartboard Average I

A dartboard arranges the numbers 1 to 20 such that each value is typically flanked by quite different values - for example, 20 i...

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Easy Sequences 9: Faithful Pairs

A "faithful number" is a non-prime number that is one less or one more than some prime number but not both. For example, for num...

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Easy Sequences 6: Coefficient sums of derivatives

Consider the polynomial function and its first-order derivative . The sums of the coefficients of P and P', are and , respecti...

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Easy Sequences 10: Sum of Cumsums of Fibonacci Sequence

The function F(n) is defined as the set of Fibonacci numbers from the first up to the n-th. S(n) is the result of applying to F,...

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Easy Sequences 13: Average Speed of Spaceship

A certain alien spaceship is capable of traveling at extremely high velocities and is able to change speed instantaneously. The ...

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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...

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Determine if Input is Oddish or Evenish (Odd/Even Sum of Digits)

Given a positive integer n, determine whether n is "oddish" or "evenish" - that is, whether the sum of the digits of n is odd or...

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Resistance of a light bulb

The current through two identical light bulbs connected in series is C Amperes. The total voltage across both bulbs is V Volts....

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Easy Sequences 36: Hyperbolic Lattice Points

The graph, shown below, of the hyperbola: , passes through four positive lattice points:. ...

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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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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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Define an arithmetic sequence

Given three numbers n, a, and d, define an arithmetic sequence of n terms with a being the initial term of the sequence and d be...

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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 ...

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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 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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Voltage in a lamp

A lamp is measured to have a resistance of R ohms when it operates at a power of P Watts. What is the voltage (in volts) being a...

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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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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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Determine point is located in a circle or not

Using input [x] and [y], determine the points (x,y) is located inside of circle (x^2+y^2=1) if point is located in circle, outp...

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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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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 : 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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Basic Monte Carlo Simulation

Input is a matrix including service time and probability of service time. Another input is a random number. Function should tran...

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