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William


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

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Turn year differences into "s score and y years ago"
President Lincoln opened his now-legendary Gettysburg Address with the famous words "Four score and seven years ago...". Given t...

1 día hace

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Play Oware with the digits of a number
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5 días hace

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[Master Regular Expression] Largest Substring Between Two Equal Character
Given a string s, return the length of the longest substring between two equal characters, excluding the two characters. If ther...

6 días hace

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Sum all elements of a vector or matrix without using some built in functions
Write a function that computes the sum of all elements of the input array v without using the following built-in function: sum,...

7 días hace

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Easy Sequences 32: Almost Pythagorean Triples
An Almost Pythagorean Triple (abbreviated as "APT'), is a set of 3 integers in which square of the largest element, which we wil...

7 días hace

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Determine Matrix Dimensions Without Using some built-in MATLAB functions, version 2
Write a function that takes a 2D matrix/1D vector x as input and returns a row vector containing the number of rows and the numb...

11 días hace

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Compute the Euclidean Distance Between Two N-Dimensional Vectors
Write a function that computes the Euclidean distance between two N-dimensional vectors. Given two input vectors x and z of equ...

11 días hace

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Acceleration of Block Relative to Ground
Researchers at Indian Space Research Organisation test cargo motion inside accelerating spacecraft ramps. Find acceleration.

14 días hace

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Determine Matrix Dimensions Without Using size or length
Write a function that takes a matrix A as input and returns a row vector containing the number of rows and the number of columns...

14 días hace

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Determine Matrix Dimensions Without Using some built-in MATLAB functions
Write a function that takes a 2D matrix/1D vector x as input and returns a row vector containing the number of rows and the numb...

14 días hace

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Sum all elements of a vector or matrix without using sum()
Write a function that computes the sum of all elements of the input array v without using the built-in sum function. The input ...

14 días hace

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Two Jugs: Minimum Steps ( Medium )
Following the first problem, now you need to find the shortest path. Given two jugs with capacities A and B, find the minimum nu...

14 días hace

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[Master Regular Expression] String Matching in an Array
Given an array of string words, return all strings in words that are a substring of another word. You can return the answer in a...

18 días hace

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Is it Possible? ( Easy )
In the first part of series, we simplify the problem. Given two jugs with capacities A and B, and a target amount T, determine i...

23 días hace

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Velocity at Bottom Using Energy Conservation
A steel ball rolls down a precision ramp in a lab at CERN.

24 días hace

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Acceleration in an Atwood Machine with Massive Pulley
Engineers at Indian Institute of Technology Delhi are designing a precision elevator calibration system using two masses connect...

26 días hace

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Motion of a Bead Sliding on a Rotating Rod (Non-Inertial Frame Dynamics)
Scientists at Indian Space Research Organisation are testing artificial gravity inside a rotating space station module. Inside ...

26 días hace

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Angular Velocity of a Falling Rod Pivoted at One End (Energy + Rotation)
Engineers at Indian Institute of Technology Bombay are designing a rotating docking arm for a future space station. The arm is m...

26 días hace

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Acceleration in a Symmetric Double-Pulley Constraint System
Engineers at Indian Institute of Technology Kanpur are designing a precision counterweight system for high-speed elevators. The ...

26 días hace

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Moment of Inertia Using Parallel Axis Theorem
Engineers at Indian Space Research Organisation are designing a satellite with extendable robotic arms. When the arms extend out...

26 días hace

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Angular Velocity of a Falling Rod Pivoted at One End (Energy + Rotation)
Engineers at Indian Institute of Technology Bombay are designing a rotating docking arm for a future space station. The arm is m...

26 días hace

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Angular Velocity Required to Create Artificial Gravity
Scientists at NASA and Indian Space Research Organisation are designing a rotating space station ring to simulate Earth-like gra...

27 días hace

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Velocity of a Particle Under Constant Acceleration Using Energy Methods
Scientists at CERN are testing a linear accelerator that uses electromagnetic force to accelerate charged particles along a stra...

27 días hace

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Tension in String for Circular Motion (Advanced Rotational Dynamics)
At the astronaut training facility of Indian Space Research Organisation, astronauts are trained using a rotating centrifuge. Th...

27 días hace

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Maximum Power Transfer
Engineers at Texas Instruments design circuits for maximum efficiency. Internal resistance = 4 Ω Find load resistance for maxi...

27 días hace

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Kirchhoff’s Loop Law
Engineers at ISRO design spacecraft circuits. Battery = 10 V Total resistance = 2 Ω Find current in loop.

27 días hace

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Drift Velocity in Conductor

27 días hace

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Power Loss in Transmission Lines
Electricity transmitted by Power Grid Corporation of India experiences power loss due to resistance. Current = 10 A Resistance...

27 días hace

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Car Battery Internal Resistance
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27 días hace

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Parallel Circuit in Home Wiring
Home appliances connected in parallel in a house in Gurgaon have resistances of 6 Ω and 3 Ω. Find equivalent resistance.

27 días hace

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