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  • CUP Challenge Master
  • Project Euler I
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Solved


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...

5 days ago

Solved


Range Resolution of a Pulsed Radar
A pulsed radar transmits a rectangular pulse with duration tau seconds. Given the pulse duration, compute the radar range resolu...

5 days ago

Solved


Basic Physics X
Calculate the Kinetic Energy (KE) by Weight (w), Distanec (d), and Time (t) without Mass (m) or Speed (v).

6 days ago

Solved


Basic Physics IX
Calculate the Kinetic Energy (KE) by Weight (w) instead of Mass (m).

6 days ago

Solved


Basic Physics VIII
Calculate the Mechanical Energy (ME) when the point is B.

6 days ago

Solved


Basic Physics VII
Calculate the speed.

6 days ago

Solved


Basic Physics VI
Fing the Kinetic Energy (KE) by Distance (d) and Time (t) instead of Speed (v).

6 days ago

Solved


Basic Physics V
Calculate the Weight (w).

6 days ago

Solved


Basic Physics IV
Calculate the Work.

6 days ago

Solved


Basic Physics III
Calculate the Potential Energy (PE).

6 days ago

Solved


Basic Physics II
Get the Kinetic Energy (KE).

6 days ago

Solved


Basic Physics I
Calculate the energy by the famous formula of Albert Einstein.

6 days ago

Solved


Geometric Compression Ratio
The geometric compression ratio CR is the ratio of the total cylinder volume at BDC to the clearance volume at TDC. It is one ...

6 days ago

Solved


Swept Volume and Clearance Volume
The swept volume (V_s) is the volume displaced by the piston as it travels from BDC (Bottom Dead Centre) to TDC (Top Dead Centre...

6 days ago

Solved


Specific Fuel Consumption
Brake-specific fuel consumption (BSFC) measures how efficiently an engine converts fuel mass into useful work. Modern petrol e...

6 days ago

Solved


Piston Mean Speed
Mean piston speed is a critical mechanical stress indicator. It sets limits on valve timing, bearing loads and material fatigue...

6 days ago

Solved


Engine Displacement
Engine displacement is the total swept volume of all cylinders. It is determined by bore (cylinder diameter), stroke (piston t...

6 days ago

Solved


Fuel-Air Equivalence Ratio (Lambda)
Lambda (λ) is the ratio of actual air-fuel ratio to the stoichiometric air-fuel ratio. λ = 1 is perfect stoichiometry, λ < 1...

6 days ago

Solved


Volumetric efficiency
Volumetric efficiency measures how well an engine breathes. The ratio of the actual air mass drawn in per cycle to the theoreti...

6 days ago

Solved


Brake Mean Effective Pressure (BMEP)
BMEP is a normalised measure of engine work output per cycle per unit displacement. It lets you compare engines of different siz...

6 days ago

Solved


Engine torque and RPM
Torque and power are related through rotational speed. Knowing brake power and engine RPM, you can back-calculate the torque del...

6 days ago

Solved


Engine Thermal Efficiency
The thermal efficiency of an ideal Otto cycle engine depends only on the compression ratio. A higher compression ratio yields gr...

6 days ago

Solved


Generalised Hamming Number
Inspired by Project Euler n°204 and Problem 1308 by James A generalised Hamming number of type n, has no prime factor larger ...

6 days ago

Solved


I've got the power! (Inspired by Project Euler problem 29)
Consider all integer combinations of a^b and b^a for the integer values 2 ≤ a ≤ 4 and 2 ≤ b ≤ 5: 2^2=4, 2^3=8, 2^4=16,...

6 days ago

Solved


Longest run of consecutive numbers
Given a vector a, find the number(s) that is/are repeated consecutively most often. For example, if you have a = [1 2 2 2 1 ...

7 days ago

Solved


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...

7 days ago

Solved


Interpolated Value Between Two Points
Given two points, and , a new location x, and a method "linear" or "cubic", return the value of a linear or cubic interpolant t...

7 days ago

Solved


A Binary Search
One way to locate a target value in a sorted array, is to use a binary search algorithm. Here, you test if the midpoint in the a...

7 days ago

Solved


Taylor Series
You can use a Taylor series to approximate common functions. The Taylor series for sin(x) is Using only the first several te...

7 days ago

Solved


Find MPG of Lightest Cars
The file cars.mat contains a table named cars with variables Model, MPG, Horsepower, Weight, and Acceleration for several classi...

9 days ago

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