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William


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Semi-retired physicist with interests in numerical modeling and mathematics.

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Solved


"Identify and Replace Outliers in a Numeric Array"
Given a numeric array, identify outliers that are more than two standard deviations away from the mean and replace them with the...

1 day ago

Solved


Identify Similar Rows in a Matrix Based on Sequence of Non-zero Elements
In this problem, you are given a matrix of positive integers. Your task is to identify and return all rows in the matrix that ar...

5 days ago

Solved


Remove Duplicate Words from a Sentence.
Given a sentence, remove any duplicate words, leaving only the first occurrence of each word. The output sentence should have wo...

5 days ago

Solved


Remove Duplicate Words from a Sentence
Given a sentence as a string, remove all duplicate words while keeping their first occurrence and maintaining the original word ...

5 days ago

Solved


Basic Identity Function
Create a function that takes an input x and returns the same value as output.

5 days ago

Solved


Calculate the Number of Moles
The number of moles of a substance is calculated using the formula: Mass (g) = Moles / Molar Mass (g/mol)​ Write a function ca...

5 days ago

Solved


Sum of Even Numbers in a Vector
Write a function that takes a vector x as input and returns the sum of all even numbers in x. Input: x = [1, 2, 3, 4, 5, 6] ...

5 days ago

Solved


Sum of Positive Elements in a Matrix
Given a matrix A, write a function that returns the sum of all positive elements in A. Input: A = [-3, 4, -1; 6, -2, 8] ...

5 days ago

Solved


Add 2 to any number.
Add 2 to any number.

14 days ago

Solved


Add 2 to any number.
Add 2

17 days ago

Solved


Matrix Rotation by 90 Degrees
In this problem, you are tasked with rotating a given matrix by 90 degrees in a counter-clockwise direction. The input will be a...

30 days ago

Solved


Estimating Monthly Electricity Cost for a Household Appliance
You recently bought an electric kettle for your kitchen, and you want to estimate how much it costs to run every month. The kett...

1 month ago

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Voltage Divider Calculation
A voltage divider is a simple circuit used to obtain a reduced voltage from a higher voltage source using two resistors in serie...

1 month ago

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Inductor Energy Storage Calculation
The energy (EEE) stored in an inductor is given by the formula: Where: E is the energy in joules (J) L is the inductance in...

1 month ago

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LED Current Calculation
In an electrical circuit, the current (III) flowing through an LED is determined using Ohm’s Law: ​​ Where: I is the current ...

1 month ago

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Implement Shor's algorithm
Shor's algorithm, proposed in 1994 by Peter Shor, is an algorithm for factoring numbers that runs in polynomial time (polynomial...

1 month ago

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Ohm’s Law - Calculate Resistance
Ohm’s Law states that resistance R can be calculated as:R=VI​ where: V is the voltage (in volts) I is the current (in amperes...

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...

1 month ago

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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 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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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 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...

1 month ago

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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...

1 month ago

Solved


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 ...

1 month ago

Solved


Battery Discharge Time Estimation
In a Battery Management System (BMS), the estimated discharge time (T) of a battery can be calculated as: ​​ where: ​ is the ...

1 month ago

Solved


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: ...

1 month ago

Solved


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...

1 month ago

Solved


Calculate Charge Using Capacitance and Voltage
The charge (Q) stored in a capacitor is given by the formula:Q=C×V where: C is the capacitance (in farads) V is the voltage (...

1 month ago

Solved


Energy Stored in a Capacitor
The energy (E) stored in a capacitor is given by the formula: where: C is the capacitance (in farads) V is the voltage (in ...

1 month ago

Solved


Simple Electrical Power Calculation
Calculate the electrical power using the formula: P=V×I where: V is the voltage (in volts) I is the current (in amperes)

1 month ago

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