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subtract central cross
Given an n-by-n square matrix, where n is an odd number, return the matrix without the central row and the central column.

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Given a matrix, swap the 2nd & 3rd columns
If a = [1 2 3 4; 1 2 3 4; 1 2 3 4; 1 2 3 4]; then the result is ans = 1 3 2 4 1 3 2...

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The MATLAB Treasure Hunt – Unlock the Final Chamber by Solving the Ancient Numeric Cipher
You’ve reached the Final Chamber, where a glowing pedestal displays a sequence of numbers. The inscription reads: “Only the su...

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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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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 – 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 – 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 – 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 – 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 – 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 – Extract the Hidden Cave’s Coordinates from a Long List of Numbers
After decoding the first clue, you uncover another piece of parchment — a long list of numbers. At first glance, it looks random...

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Pi Digit Probability
Assume that the next digit of pi constant is determined by the historical digit distribution. What is the probability of next di...

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The MATLAB Treasure Hunt – Decode the First Clue Hidden in a Jumbled Sequence of Numbers
You discover an ancient parchment inside the college archives. It contains a jumbled sequence of numbers that seems meaningless ...

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Minkowski distance

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Mesh the convex hull of a random 3D point cloud
Problem statement The convex hull of a 3D point set is actually a first -though rough- triangulation of it. A triangulation,...

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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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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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Build triangulation from -sorted- edge list
Problem statement An edge list is simply a N x 2 matrix of positive integers, in which N is the number of edges and each intege...

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Check Euler's characteristic on regular polyhedra
Problem statement Given the number of vertices and the number of faces of a given regular polyhedron, compute the number of its...

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Mesh the square with triangles
Problem statement An square is a regular polygon with 4 vertices and 4 edges. A triangulated mesh T (stands for triangles he...

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Mesh the pentagon (with the minimum number of triangles)
Problem statement An pentagon is a regular polygon with 5 vertices and 5 edges. Here below is an example of the vertex set V,...

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Mesh the tetrahedron
Problem statement An tetrahedron is a regular polyhedron with 4 vertices and 4 triangular faces. It is also one of the five w...

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Mesh the cube
Problem statement : mesh the cube with quadranglar / squared faces An cube / regular hexahedron is a regular polyhedron with ...

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Mesh the octahedron
Problem statement An octahedron is a regular polyhedron with 6 vertices and 8 triangular faces. It is also one of the five we...

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String Logic 11
Examples: 'SUNDAY' --> 6 'MONDAY' --> 6 'TUESDAY' --> 7 'WEDNESDAY' --> 9 'THURSDAY' --> 8 'FRIDAY' --> 5 'SATURDAY' --...

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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...

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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 (...

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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 ...

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Calculate Current in a Series Circuit Using KVL
Kirchhoff's Voltage Law (KVL) states that the sum of voltages around a closed loop is zero. Given a voltage source (V) and three...

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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...

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