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State of Charge (SoC) Estimation for a Battery
The State of Charge (SoC) of a battery represents its remaining charge as a percentage. It can be calculated using the formula: ...
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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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Convert Volume Mixing Ratio to Density
The partial pressure of a constituent gas species of the atmosphere can be expressed in parts per million by volume. For exampl...
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Snow Accumulation and Structural Risks To Residential Properties
The density of snow depends on the amount of liquid water it contains: Dry Snow is about 50 kg/m^3 Wet Snow is about 200 kg/m^...
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Air Density from Temperature and Pressure
The density of air can be estimated from the product of molar mass and molar density: Write a function that finds the densi...
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Molar Air Density from Temperature and Pressure
The molar density of air can be found from the Temperature and Pressure using the ideal gas law. where the Molar density STP ...
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Air Mass to Star for an Observer at Mean Sea Level
Air mass is a measure of how much atmosphere light from a source above the atmosphere (eg sun, planet, star) has to travel throu...
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Predict Cricket Stridulation Rate from Air Temperature
Stridulation is the process that creates a cricket's “chirp” by rubbing their wings or legs. According to the Old Farmer's Alma...
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Find Air Temperature from Cricket Stridulation Rate
Stridulation is the process that creates a cricket's “chirp” by rubbing their wings or legs. According to the Old Farmer's Alma...
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Projector Matrix
Write a function to determine whether or not the matrix is a projector. Projector matrices are defined as P^2 = P.
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Orthonormal matrix
You decide whether any given matrix is an orthonormal matrix or not. If each column in a matrix is perpendicular to the other...
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Is this matrix orthogonal?
Given a square matrix, a, determine whether it is orthogonal. INPUT: a, a n x n matrix OUTPUT: true or false
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Outer product of multiple vectors
In tensor algebra, it is often useful to define a tensor as a product of lower order tensors. Similarly, a multidimensional arra...
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Combined Ages 1 - Symmetric, n = 3
You have probably seen the common riddle wherein combined ages are provided and you must determine the individual ages. For exam...
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linear least squares fitting
Inputs: * |f|: cell-array of function handles * |x|: column vector of |x| values * |y|: column vector of |y| values, same l...
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Column norms of a matrix
Given a matrix M, return a vector y such that for each k y(k)=norm(M(:,k)) (y(k) is the Euclidean norm of the k-th col...
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Velocity Conversion
Given a velocity in mph, convert it to km/h. Round the answer to the fourth decimal place.
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Temperature Conversion 3
Given a temperature in Celcius, convert it to Fahrenheit.
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Column Removal (★★★)
(copy of prob 7) Remove the nth column from input matrix A and return the resulting matrix in output B. So if A = [1 2...
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Remove entire row and column in the matrix containing the input values
Remove the entire row and column from the matrix containing specific values. The specified value can be a scalar or a vector. Fo...
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remove every row&col for every nan
for a given matrix, remove the row and column of every nan. Example x=[1 2 NaN 4 5 6 7 8 ...
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