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Mandelbrot Numbers
The <http://en.wikipedia.org/wiki/Mandelbrot_set Mandelbrot Set> is built around a simple iterative equation. z(1) = c z...
20 days ago
Solved
Find the peak 3n+1 sequence value
A Collatz sequence is the sequence where, for a given number n, the next number in the sequence is either n/2 if the number is e...
20 days ago
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Elastic Collision 001: 1-D
Elastic Collision of two particles. <http://en.wikipedia.org/wiki/Elastic_collision wiki Elastic Collision> Solve Conservat...
1 month ago
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Calculate the height of an object dropped from the sky
Assume that an object is dropped from 1000 meters above the surface of the earth at time t=0. The object is dropped such that t...
1 month ago
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Gold Standard
Gold has long been used as currency and a standard for currency, due to its inherent value and rarity. Historical data for gold ...
1 month ago
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Is the Point in a Triangle?
Check whether a point or multiple points is/are in a triangle with three corners Points = [x, y]; Triangle = [x1, y1; x2, y...
1 month ago
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Can we make a triangle?
Given three positive number, check whether a triangle can be made with these sides length or not. remember that in a triangle su...
1 month ago
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Form a square matrix from four square sub-matrices
Create a square matrix, y, from 4 square sub-matrices that will be constructed (x1, x2, x3, x4): y = [x1 x2; x3 x4]; ...
1 month ago
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Make a rainbow matrix (follow-up to checkerboard matrix)
Given an integer n, make an n-by-n matrix as shown below. The a(1,1) should be 0. As we move away from the top-left, the number ...
1 month ago
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Vandermonde Matrix
Create the Vandermonde Matrix of the given vector. The matrix consists of columns as powers of the vector, so the first column i...
1 month ago
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Union Jack Matrix
Create a matrix of odd dimensions that has ones on both diagonals and dividing the matrix into 4 quadrants, resembling a square ...
1 month ago
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Diagonal Pattern
For a positive integer |n|, return an |nXn| matrix |mat| such that the value of each element in row |i| and column |j| is given ...
1 month ago
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Tent matrix
Create an n x n matrix that resembles one kind of tent. The variable n is provided to the function and will be an odd number. As...
1 month ago
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Create a square matrix with given conditions
Create a square matrix, M, which should be populated as follows: M = [ n^2 n * (n-1) n * (n-2) ... n * 2 n * ...
1 month ago
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Produce the following matrix
Produce the following matrix x = [2 3 4] y_correct = [1 1/2 1/3; 2 1 1/4; 3 4 1];
1 month ago
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Stress-Strain Properties - 5
Similar to the previous problem, materials may be characterized by their stiffness-to-weight ratio, which is the elastic modulus...
1 month ago
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Stress-Strain Properties - 4
A common measure of the ability of a material to carry load per unit mass is termed strength-to-weight ratio and is calculated b...
1 month ago
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Stress-Strain Properties - 3
A brittle material will not exhibit a yield point. In other words, the yield point and failure point coincide. In such cases, th...
1 month ago
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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...
1 month ago
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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...
1 month ago
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Estimating Monthly Electricity Cost for a Household Appliance
You recently bought an electric kettle for your kitchen, and you want to estimate how much it costs to run every month. The kett...
1 month ago
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Voltage Divider Calculation
A voltage divider is a simple circuit used to obtain a reduced voltage from a higher voltage source using two resistors in serie...
1 month ago
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LED Current Calculation
In an electrical circuit, the current (III) flowing through an LED is determined using Ohm’s Law: Where: I is the current ...
1 month ago
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Inductor Energy Storage Calculation
The energy (EEE) stored in an inductor is given by the formula: Where: E is the energy in joules (J) L is the inductance in...
1 month ago
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Calculate Charge Using Capacitance and Voltage
The charge (Q) stored in a capacitor is given by the formula:Q=C×V where: C is the capacitance (in farads) V is the voltage (...
1 month ago
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Energy Stored in a Capacitor
The energy (E) stored in a capacitor is given by the formula: where: C is the capacitance (in farads) V is the voltage (in ...
1 month ago
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Calculate Current in a Series Circuit Using KVL
Kirchhoff's Voltage Law (KVL) states that the sum of voltages around a closed loop is zero. Given a voltage source (V) and three...
1 month ago
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Calculating the Total Resistance in a Series Circuit
Description: In a series circuit, the total resistance is the sum of the individual resistances. This problem asks you to write ...
1 month ago
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Simple Electrical Power Calculation
Calculate the electrical power using the formula: P=V×I where: V is the voltage (in volts) I is the current (in amperes)
1 month ago
