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Sum of series VII
What is the sum of the following sequence: Σ(km^k)/(k+m)! for k=1...n for different n and m?
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Sum of series VI
What is the sum of the following sequence: Σk⋅k! for k=1...n for different n?
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Sum of series V
What is the sum of the following sequence: Σk(k+1) for k=1...n for different n?
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Sum of series IV
What is the sum of the following sequence: Σ(-1)^(k+1) (2k-1)^2 for k=1...n for different n?
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Stress-Strain Properties - 2
The resilience of a material is its ability to resist permanent (or plastic) deformation. The resilience coincides with the elas...
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Stress-Strain Properties - 1
This is the first in a series of problems regarding mechanics of materials, in particular, material properties drawn from stress...
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Roll the Dice!
*Description* Return two random integers between 1 and 6, inclusive, to simulate rolling 2 dice. *Example* [x1,x2] =...
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Check if number exists in vector
Return 1 if number _a_ exists in vector _b_ otherwise return 0. a = 3; b = [1,2,4]; Returns 0. a = 3; b = [1,...
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Maximum value in a matrix
Find the maximum value in the given matrix. For example, if A = [1 2 3; 4 7 8; 0 9 1]; then the answer is 9.
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7 segment LED display
Given a whole number, output how many segments would be lit up to display it on a 7 segment LED display (see Wikipedia: http://e...
거의 2년 전
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Convert Roman to Arabic Numerals
Based upon what I see on tv and at the movies, the use of Roman numerals indicates something is important or sophisticated (e.g....
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Number of 1s in the Binary Representation of a Number
*Description* Return the number of 1s in the (unsigned integer) binary representation of a number. This function should be ab...
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How long do each of the stages of the rocket take to burn?
A space rocket has 3 stages: - stage 1, s1; - stage 2, s2; - stage 3, s3. If s1 burns 3 x as long as s2 which burns ...
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Velocity Conversion
Given a velocity in mph, convert it to km/h. Round the answer to the fourth decimal place.
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Force and Motion 3
Two robots push on a large object in the same direction. One robot pushes with a force of F1 Newtons and the other with a force...
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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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Find the Final State of an Abelian Sandpile
Let us define an <http://nautil.us/issue/23/dominoes/the-amazing-autotuning-sandpile Abelian sand pile> as a matrix that is only...
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Reverse Boggle
Description In the classic Parker Brothers game Boggle, players find words from a 4x4 game board of letters. This exercise is t...
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love is an n-letter word
Given a list of *N words*, return the *N-letter word* (choosing one letter from each word) with the property of having the least...
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Dimensions of a rectangle
The longer side of a rectangle is three times the length of the shorter side. If the length of the diagonal is x, find the width...
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Length of the hypotenuse
Given short sides of lengths a and b, calculate the length c of the hypotenuse of the right-angled triangle. <<https://i.imgu...
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Area of an equilateral triangle
Calculate the area of an equilateral triangle of side x. <<https://i.imgur.com/jlZDHhq.png>> Image courtesy of <http://up...
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Side of an equilateral triangle
If an equilateral triangle has area A, then what is the length of each of its sides, x? <<https://i.imgur.com/jlZDHhq.png>> ...
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Side of a rhombus
If a rhombus has diagonals of length x and x+1, then what is the length of its side, y? <<https://imgur.com/x6hT6mm.png>> ...
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Area of an Isoceles Triangle
An isosceles triangle has equal sides of length x and a base of length y. Find the area, A, of the triangle. <<https://imgur...
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Is this triangle right-angled?
Given three positive numbers a, b, c, where c is the largest number, return true if the triangle with sides a, b and c is right-...
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Is this triangle right-angled?
Given any three positive numbers a, b, c, return true if the triangle with sides a, b and c is right-angled. Otherwise, return f...
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