Akshay Dorle
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I'm a Mechanical engineer with a keen interest in mathematics, physics, coding and in general problem solving!
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A résolu
Pizza!
Given a circular pizza with radius _z_ and thickness _a_, return the pizza's volume. [ _z_ is first input argument.] Non-scor...
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Project Euler: Problem 2, Sum of even Fibonacci
Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 te...
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Bottles of beer
Given an input number representing the number of bottles of beer on the wall, output how many are left if you take one down and ...
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MATLAB Basic: rounding III
Do rounding towards minus infinity. Example: -8.8, answer -9 +8.1 answer 8 +8.50 answer 8
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What gear ratio does the cyclist need?
A cyclist (perhaps including our famed Codysolver the cyclist <http://www.mathworks.com/matlabcentral/cody/players/1841757-the...
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Energy of an object
Calculate the total mechanical energy of an object. Total Energy= Potential energy + Kinetic energy P.E.=m*g*h K.E.=1/2...
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center of mass
R is a given matrix with size [n,2]. R(i,:) is interpreted as the 2D-position of a mass point with mass i. Calculate the center ...
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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...
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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...
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Distance of the centroids of the balls
Given *n* balls of radius *r* and the vector *p (nx3)* with all position *(x,y,z)* of the balls, return the symmetric matrix *A ...
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Calculate compression ratio of engine
Calculate compression ratio of engine given compression volume of cylinder(Vc), piston stroke(s) and valve diameter(d)
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Determine if a four bar mechanism is of Grashof type
A four bar mechanism is composed of four links. if s is the smallest link, l the longest and p,q are the length of the other lin...
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Center of mass
Given a matrix M(m,n), where m is the number of vertices of the geometrical element and n is 2 or 3 (2D-plane figure or 3D-solid...
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Kepler's Equation
Solve <http://en.wikipedia.org/wiki/Kepler's_equation Kepler's Equation>. Note that the solution is rounded down to 5 decima...
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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 ...
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Pattern Sum
Write a function which receives two single digit positive integers, (k and m) as parameters and calculates the total sum as: k...
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I Plead the Fifth
Write a function to provide a yes or no answer to the input string. However, it must plead the 5th amendment (return an empty st...
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The glass half full
Identical glasses are placed in a triangular tower structure, such that the top level (L = 1) comprises one glass, the next leve...
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How to subtract?
*± ± ± ± ± ± ± ± ± ± ±* * Imagine you need to subtract one...
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A Simple Tide Gauge with MATLAB
*∿ ∿ ∿ ∿ ∿ ∿ ∿ ∿* You are standing in a few inches of sea water on a beach. You a...
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Predicting life and death of a memory-less light bulb
*💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 &...
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Pernicious Anniversary Problem
Since Cody is 5 years old, it's pernicious. A <http://rosettacode.org/wiki/Pernicious_numbers Pernicious number> is an integer w...
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Basic electricity in a dry situation
⚡ ⚡ ⚡ ⚡ ⚡ ⚡ ⚡ ⚡ ⚡ ⚡ ⚡ ⚡ ⚡ ⚡ ⚡ ⚡ ⚡ ⚡ &#...
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Polarisation
You have n polarising filters stacked one on top of another, and you know each axis angle. How much light gets passed through th...
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Spot the First Occurrence of 5
This problem series invites you to solve two simple problems related to the integer NUMBER FIVE, in order to celebrate <https://...
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Inscribed Pentagon?
Your function will be provided with the five vertices of a pentagon (p) as well as the center point (cp) and radius (r) of a cir...
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Octoberfest festival
A group of students decided to visit Octoberfest festival. First they ordered one beer, then after half-hour they taken one more...
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Circle/Pentagon Overlap
Your function will be provided with the five vertices of a pentagon (p) as well as the center point (cp) and radius (r) of a cir...
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What is the distance from point P(x,y) to the line Ax + By + C = 0?
Given a point, P(x,y), find the distance from this point to a linear line. INPUTS: x, y, A, B, C OUTPUTS: d, the distance ...
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Angle between Two Vectors
The dot product relationship, a dot b = | a | | b | cos(theta), can be used to determine the acute angle between vector a and ve...
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