ECLAT with MATLAB

Using the dataset used for friends and cuisine type (see Friends.mat), and the Matlab Code supplied (CreateTL.m, CreateVF.m, Lattice.m), which will implement a Lattice solution (bruteforce solution) for frequent itemsets, implement in Matlab the following algorithms:

• Apriori

• Eclat

• FP-Growth

Use Lattice.m to verify the solution.

Using the algorithms implemented compare the execution time of the algorithms on the real dataset, chess, taken from Frequent Itemset Mining Dataset Repository (uantwerpen.be)

CreateTL = create transaction list

CreateVF = vertical format for Eclat

MATLAB code (just for ECLAT)

50 EUR 

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Equation of Motion of a Trebuchet with Lagrange method

A trebuchet, shown schematically in Figure, is a shooting weapon of war powered by a falling massive counterweight m1. A beam AB is pivoted to the chassis with two unequal sections a and b. The origin of a global coordinate frame is set at the pivot point. The counterweight m1is at (x1, y1) and is hinged at the shorter arm of the beam at a distance c from the end B. The mass of the projectile is m2 and it is at the end of a massless sling with a length l attached to the end of the longer arm of the beam. The three independent variable angles α, θ, γ describe the motion of the device. Consider the parameters a, b, c, d, l, m1, m2 constant, and determine the equations of motion by the Lagrange method.

Maple Worksheet + Report

30 EUR 

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Equation of Motion of a Pendulum on Circular Wall with Lagrange method

The shown pendulum is leaning on similar circular walls on both sides. Determine the equation of motion of the pendulum.

Maple Worksheet + Report

20 EUR 

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Equation of Motion of Heavy Pendulums, with and without a revolute joint, with Lagrange method

Figure illustrates a heavy disc with mass m and radius R suspended by a massless rod of length l. In Figure (a), the disc is fixed to the bar and in Figure (b), it is attached by a revolute joint in the middle. Determine the equation of motion of the systems in both cases.

Maple Worksheet + Report

25 EUR 

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Equation of Motion of a Pendulum on an inclined plane with Lagrange method

Figure shows a pendulum that is hung to a supporting M sliding down on a wedge. The system has two DOF. Derive the equations of motion. Assume the oscillation angle is very small to linearize the equations of motion and determine the natural frequencies of the system.

Maple Worksheet + Report

25 EUR 

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Equation of Motion of a given Lagrangean with Lagrange method

 Assume the Lagrangean of a dynamic system is given. How can you find out the system?

Maple Worksheet + Report

10 EUR 

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Equation of Motion of Sympathetic pendulums with Lagrange method

Derive the equations of motion of the shown coupled compound pendulums called the sympathetic pendulums. Linearize the equations of motion and determine natural frequencies and time response for small oscillations.

Maple Worksheet + Report

20 EUR 

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Equation of Motion of two masses over a pulley, Atwood machine, with Lagrange method

Derive the equations of motion of the following dynamic systems. The method is arbitrary, however, the Lagrange method is recommended.

The figure illustrates two masses connected by a constant length rope over a massive pulley with mass moment I. The system has one DOF. Using x as the generalized coordinate, determine the equation of motion of the system.

Maple Worksheet + Report

15 EUR 

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Equations of Motion of a Governor with Lagrange method

Derive the equations of motion of the following dynamic systems. The method is arbitrary, however, the Lagrange method is recommended.

A governor is shown in the figure. The system has two DOF. You will find that one of the coordinates is missing in the Lagrangean of the system. That indicates that its associated generalized momentum is conserved.

Maple Worksheet + Report

15 EUR 

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