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Easy Sequences 14: Consecutive Composites
Generating a given number of consecutive numbers all of which are composites is easy. For example the following is a sequence of...

11 Monate vor

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Measure the hydraulic conductivity with a constant-head permeameter
A constant-head permeameter is a device for measuring the hydraulic conductivity of a soil sample. In this problem the sample i...

11 Monate vor

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Sokoban: Puzzle 10.45
The <http://www.game-sokoban.com/index.php?mode=level&lid=16138 Sokoban Site> has many puzzles to solve. This Challenge is to s...

11 Monate vor

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Relative pose in 2D: problem 1
We consider a world reference frame denoted by {0} which has its x-axis pointing east and its y-axis pointing north. There is a...

11 Monate vor

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Generate a point cloud named `Simplex-Lattice Design`
The input is the number of dimensions M and the parameter H. The output is a point cloud W involving N points. W is N uniforml...

11 Monate vor

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Lights Out 1 - 5x5, 3 moves
<https://en.wikipedia.org/wiki/Lights_Out_(game) Lights Out> is a logic game wherein all lights need to be turned off to complet...

11 Monate vor

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Easy Sequences 40: Quadratic Congruence
Quadratic Congruence is a modular equation of the form: . In this exercise you will be given a vector containing the coefficie...

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Compute a sum of Ramanujan
Srinivasa Ramanujan defined the following function: Write a function to compute for various values of . See also Cody Proble...

11 Monate vor

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How Far Can You Throw Something?
As you probably learned in your high school physics class, throwing an object at a 45 degree angle will give you the maximum ran...

11 Monate vor

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Juggling
There is a notation system for <http://en.wikipedia.org/wiki/Juggling jugglers> called <http://en.wikipedia.org/wiki/Siteswap si...

11 Monate vor

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Bouncing disk
A disk is placed in a rectangular room with dimensions a and b in a point with coordinates x0 and y0. The disk is given a startu...

11 Monate vor

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jogging?
Imagine x-y coordinate system and you are at the origin and your partner is on the x-axis at some small distance (d) away from y...

11 Monate vor

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Mechanics 1
I thought I would make a mechanics problem for all those physics lovers out there. Imagine two solid, rigid spheres B1 and B...

11 Monate vor

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Break it up! Break it up!
You have N pennies. Write a Matlab script that will reveal how many different ways you can break up those pennies. For example...

11 Monate vor

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Create a random vector of integers with given sum
Your task today is to write a function that returns a vector of integer numbers, between, and including, 1 and m, of which the s...

11 Monate vor

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Generating random matrix with given probability mass function
Inspired by <http://www.mathworks.com/matlabcentral/cody/problems/2356-simulating-the-selection-of-a-state-with-given-probabilit...

11 Monate vor

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Given n, create n random numbers such that their standard deviation is also n.
Given n, create n random numbers such that their standard deviation is also n.

11 Monate vor

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Rule of mixtures (composites) - reverse engineering
The <http://en.wikipedia.org/wiki/Rule_of_mixtures rule of mixtures> is used in the mechanical design of composite structures to...

11 Monate vor

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Stress-Strain Properties - 8
Up to this point, you've calculated some material properties based on tensile stress-strain data. For this problem, you are task...

11 Monate vor

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Stress-Strain Properties - 7
The toughness of a material is technically defined as the plastic strain energy absorbed by the material (the plastic region in ...

11 Monate vor

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Stress-Strain Properties - 6
The total energy absorbed by a material up to failure in a tensile test is termed the absorbed strain energy. With respect to th...

11 Monate vor

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Extract Built In Functions and Toolbox Functions from String or Function Handle
Find the Built-In functions and Toolbox functions in either a string or a function handle. Generate a string of alphabetized ...

11 Monate vor

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Count letters occurence in text, specific to words with a given length.
Build a function with two input arguments: a string and a word length (number of letters), that outputs a vector of counts of th...

11 Monate vor

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Data decompression
A chunk of data is to be 'decompressed'. Input: * compressed: a row vector of uint8 values. This is the compressed data. ...

11 Monate vor

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Word Distance - Sum
Let's suppose that the distance of a word can be calculated by summing the differences between its letters, having assigned the ...

11 Monate vor

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Pandigital Multiples of 11 (based on Project Euler 491)
A "Pandigital number of order X" is one that contains all of the numbers from 0 to X, but with no leading zeroes. If X>9, the cy...

11 Monate vor

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Project Euler 249: Prime Subset Sums
Inspired by Problem 249 of Project Euler. <https://projecteuler.net/problem=249> Let S = {2, 3, 5, ...} be the set of prime ...

11 Monate vor

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Day counter function
Write a function called day_counter that returns the number of Mondays that fell on the first day of the month in a given year b...

11 Monate vor

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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...

11 Monate vor

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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...

11 Monate vor