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Determine if a four bar mechanism is of Grashof type
A four bar mechanism is composed of four links. if s is the smallest link, l the longest and p,q are the length of the other lin...

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Compute optimal front–rear brake force distribution.
Modern braking systems dynamically distribute braking forces between front and rear axles to maintain stability, reduce stopping...

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Concentric Squares Mandala
Generate concentric square rings of alternating 1s and 0s to form a layered mandala-style matrix. e.g. N = 5; 1 1 1 1 1;...

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Diagonal Cross Mandala
Generate an N×N matrix with diagonals highlighted to form an artistic X-shaped mandala pattern. e.g. N = 5; 1 0 0...

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Plus Cross Mandala
Create a symmetrical plus (+) shaped pattern centered in an N×N matrix.

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Vertical Mirror Mandala
Create a symmetric left-right mirrored pattern in an N×N matrix to emulate mandala reflection symmetry. e.g. N = 5; ...

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Starburst Mandala
Create a mandala starburst using diagonal and orthogonal symmetry in a matrix.

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Hourglass Mandala
Generate an hourglass shape using matrix geometry and symmetry. e.g. N = 5; 1 1 1 1 1; 0 1 1 1 0; ...

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The Case of the Missing Prototype – Identify the Thief by Comparing Suspects’ Evidence and Alibi Scores
After gathering fingerprints, alibis, sensor data, and digital clues, it’s time to pinpoint the thief. You have a struct array ...

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The Case of the Missing Prototype – Extract the Culprit’s Name from a Mixed Letter-and-Number Email Message
While tracing the suspect’s digital footprint, you recover an email containing a mixed string of letters and numbers.The letters...

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The Case of the Missing Prototype – Calculate the Car’s Average Speed Between GPS Readings to Trace the Escape Route
Using GPS data, you’ve obtained the total distance (in meters) traveled by the suspect’s car at equal time intervals.These readi...

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The Case of the Missing Prototype – Detect Tampered Sensor Readings from the Stolen Device’s Data Logs
You’ve recovered partial sensor data from the stolen prototype.Each reading is stored in a numeric vector data, but something se...

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The Case of the Missing Prototype – Check for Overlapping Alibis Between Suspects to Spot Inconsistencies
Each suspect in the case has provided an alibi — a time interval [start end] representing when they claim to have been elsewhere...

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The Case of the Missing Prototype – Restore the Correct Frame Order from the Corrupted Security Camera Footage
You’ve finally recovered the security camera footage from the Innovation Lab,but the system malfunctioned and stored frames in t...

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The Case of the Missing Prototype – Match the Footprints Found in the Lab to the Suspects’ Shoe Sizes
The dust on the Innovation Lab floor reveals several footprints.You’ve measured their shoe sizes and noted them in a vector size...

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The Case of the Missing Prototype – Decode the Secret Note Found on the Desk to Reveal a Hidden Message
On the lab desk, you discover a short note filled with strange letters. After examining it, you realize it’s written in a Caesa...

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The Case of the Missing Prototype – Check the Lab’s Logbook for Suspicious Late-Night Entries
After counting the fingerprints, you turn your attention to the security logbook.It records the entry hours (from 0 to 23) of ev...

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The Case of the Missing Prototype - Count the Fingerprints Found at the Lab Door to Begin Your Investigation
You arrive at the Innovation Lab where the secret prototype was stolen. The door has been dusted for fingerprints, and a technic...

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Mesh the dodecahedron
Problem statement An dodecahedron is a regular polyhedron with 20 vertices and 12 pentagonal faces. It is also one of the fiv...

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Mesh the icosahedron
Problem statement An icosahedron is a regular polyhedron with 12 vertices and 20 triangular faces. It is also one of the five...

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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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The MATLAB Treasure Hunt – Fix the Broken Compass by Normalizing Its Angle Readings
Your compass, recovered from the Hidden Cave, spins wildly! The ancient device shows angles that exceed 360° or drop below 0°. T...

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The MATLAB Treasure Hunt – Identify the Hidden Pattern Within the Maze of Numbers
The compass leads you to an underground chamber covered in numbers carved into the walls — a maze of digits that glows in myster...

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The MATLAB Treasure Hunt – Decode the Ancient Script by Removing Strange Symbols from the Message
Emerging from the Maze of Numbers, you find a tablet etched with symbols and letters — an Ancient Script! The message is hidden...

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The MATLAB Treasure Hunt – Cross the River of Ratios by Finding Successive Proportions in the Data Stream
Following the glowing script, you arrive at the River of Ratios — a flowing stream of numbers. A carved message on the rocks re...

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The MATLAB Treasure Hunt – Locate the Hidden Treasure in the Chamber of Coordinates
Inside the Chamber of Coordinates, glowing runes show several coordinate points on a 2D grid. The treasure lies closest to the ...

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The MATLAB Treasure Hunt – Escape the Labyrinth of Logic by Unlocking the Correct Door Sequence
You enter the Labyrinth of Logic, where each door opens only if a secret rule is met. A vector of integers represents door code...

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Voltage in a lamp
A lamp is measured to have a resistance of R ohms when it operates at a power of P Watts. What is the voltage (in volts) being a...

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Coefficient of Static friction
The coefficient of static friction between two surfaces is u. What force must be used to move a W lb. crate on a horizontal sur...

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Given a square and a circle, please decide whether the square covers more area.
You know the side of a square and the diameter of a circle, please decide whether the square covers more area.

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