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Prime factor digits
Consider the following number system. Calculate the prime factorization for each number n, then represent the prime factors in a...

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Find the maximum number of decimal places in a set of numbers
Given a vector or matrix of values, calculate the maximum number of decimal places within the input. Trailing zeros do not count...

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Divide by 4
Given the variable x as your input, divide it by four and put the result in y.

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Return the 3n+1 sequence for n
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...

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Compare two input matrices
Check which input matrix has more elements. Return "1" if matrix A has more elements than matrix B. Otherwise return "0". Exa...

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Calculate area of sector
A=function(r,seta) r is radius of sector, seta is angle of sector, and A is its area. Area of sector A is defined as 0.5*(r^2...

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Sum of series I
What is the sum of the following sequence: Σ(2k-1) for k=1...n for different n?

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Is the input divisible by 3?
Return true if the input is divisible by 3 and false if not.

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Area of a Square
Given the length x of the side of a regular square, find the area of the square, A.

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Create a Matrix of Zeros
Given an input x, create a square matrix y of zeros with x rows and x columns.

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Reverse the elements of an array
Reverse the order of elements in an array: eg: input X = [ 1 2 3 ; 4 5 6 ; 7 8 9 ] o...

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Which quadrant?
Given a complex number, output quadrant 'I' 'II' 'III' or 'IV' | II | I | ...

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Tax Calculator
Calculate the tax for a given income. 10% tax is paid for any income up to $2,000. 20% tax is paid for additional income u...

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frame of the matrix
Given the matrix M, return M without the external frame.

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Column Removal
Remove the nth column from input matrix A and return the resulting matrix in output B. So if A = [1 2 3; 4 5 6]; ...

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Times 2 - START HERE
Try out this test problem first. Given the variable x as your input, multiply it by two and put the result in y. Examples:...

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Battery Life Estimation for a Device
A battery-powered device consumes a constant current while operating. The estimated battery life (T) can be calculated using the...

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Estimating the Range of an Electric Vehicle (EV)
In Electric Vehicles (EVs), the driving range is the estimated distance a vehicle can travel on a fully charged battery. The ran...

1 month ago

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The MATLAB Treasure Hunt – Count Matching Symbols on the Ancient Scroll to Unlock the Next Clue
Inside the Hidden Cave, you discover an ancient scroll filled with strange symbols and markings. A note beside it says: “Count ...

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Determine whether a vector is monotonically increasing
Return true if the elements of the input vector increase monotonically (i.e. each element is larger than the previous). Return f...

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Add two numbers
Given a and b, return the sum a+b in c.

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Determine the square root
Determine the square root of the value the user has entered, n.

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length of a vector
Find twice the length of a given vector.

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Energy Conversion 1

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Estimating Battery Lifetime Based on Load Profile and Depth of Discharge (DoD)
In a Battery Management System (BMS), the lifetime of a battery depends on various factors, including the Depth of Discharge (Do...

1 month ago

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Estimating Battery Backup Time for an Inverter
In a Battery Management System (BMS), estimating the backup time of a battery-powered inverter helps determine how long it can s...

1 month ago

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Battery Charge Rate Calculation
In a Battery Management System (BMS), the charge rate (​) of a battery can be calculated using the formula: ​​ where: ​ is th...

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Battery State of Health (SoH) Calculation
In a Battery Management System (BMS), the State of Health (SoH) of a battery is an indicator of its overall condition. It is cal...

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Battery Charge Efficiency Calculation
In a Battery Management System (BMS), the efficiency of battery charging can be estimated using the formula: where: is the...

2 months ago

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Battery Voltage Drop Estimation
In a Battery Management System (BMS), the voltage drop (V_drop) due to the load can be calculated using the formula:V_drop=I×R ...

2 months ago

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