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Conic equation
A conic of revolution (around the |z| axis) can be defined by the equation s^2 – 2*R*z + (k+1)*z^2 = 0 where |s^2=x^2+y...

3 months ago

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Pancakes for everyone!
Accordingly to the <http://nl.mathworks.com/matlabcentral/cody/problems/42460-the-cake-is-a-lie problem 42460>. All the children...

3 months ago

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Radiation Heat Transfer — View Factors (4)
View factors (aka configuration factors) are utilized in some radiation heat transfer models to estimate heat transfer rates bet...

3 months ago

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Fun with a compass
Each night for the past week, you have been having the same nightmare: You find yourself back in your junior high school geometr...

3 months ago

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Regular polygon bounded by and bounding a circle
As the number of sides (or vertices) of a regular polygon goes to infinity, its perimeter and area go to the perimeter and area ...

3 months ago

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solid of revolution
Given an real polynomial P and two real numbers a,b with 0<=a<=b. Calculate the volume of the solid of revolution made by rotati...

3 months ago

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Find the sines of an isosceles triangle when given its area and height
Find the sines of an isosceles triangle when given its area and height. For example, when A=12 and h=4, the result is [0.8 0.8 ...

3 months ago

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Convex Hull Capture
Imagine four points in uv that form a square. uv = [ ... 0,0; 0,2; 2,2; 2,0]; Now we have two more po...

3 months ago

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Minimal cost
A power house, P, is on one bank of a straight river W meters wide, and a factory, F, is on the opposite bank L meters downstrea...

3 months ago

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What is the nth step in Conway's Life?
Based on <Problem 52. What is the next step in Conway's Life?> Generalize your solution to Problem 52 - Give the state of the...

3 months ago

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Knave in the middle attack
This is a Matlab adaptation of the <http://en.wikipedia.org/wiki/Knights_and_Knaves Knights and Knaves> logical puzzles, mixed w...

3 months ago

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Kaggle: Reverse Game of Life - Periods of Oscillators
<http://www.kaggle.com/c/conway-s-reverse-game-of-life Kaggle's Conway's Reverse Game of Life> contest inspires this Period of L...

3 months ago

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Kaggle: Reverse Game of Life - Single Move to One Cell Case
<http://www.kaggle.com/c/conway-s-reverse-game-of-life Kaggle's Conway's Reverse Game of Life> contest inspires this Single Reve...

3 months ago

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Langston's Ant
The <http://en.wikipedia.org/wiki/Langton%27s_ant Langston's Ant> Challenge is to determine the number of Black squares after K ...

3 months ago

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Hamiltonian Cycle
This is related to the Travelling Salesman Problem 1339 created by Alex P. A Hamiltonian cycle or traceable cycle is a path tha...

3 months ago

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Track Logic
A sensor produces either a hit (1) or a miss (0) for a given target once per scan. The sensor is also equiped with a tracker whi...

3 months ago

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Knights and Knaves (part 3)
_This is a Matlab adaptation of the_ <http://en.wikipedia.org/wiki/Knights_and_Knaves Knights and Knaves> _logical puzzles_. ...

3 months ago

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Knights and Knaves (part 2)
_This is a Matlab adaptation of the_ <http://en.wikipedia.org/wiki/Knights_and_Knaves Knights and Knaves> _logical puzzles_. ...

3 months ago

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Knights and Knaves (part 1)
This is a Matlab adaptation of the <http://en.wikipedia.org/wiki/Knights_and_Knaves Knights and Knaves> logical puzzles. You ...

3 months ago

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Project Aether: Non-Linear Temporal Flow Optimization
Ⅰ. Description In the year 2450, you are the Chief Architect of the Neo-Elysium defense grid. You must manage energy distributi...

3 months ago

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The Genesis Sypnapse Protocol
Ⅰ.Context In a synthetic bio-neural network, information is transmitted between neurons through chemical and electrical signal...

3 months ago

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String to Binary Representation
Given a string, convert it using UTF-8 into a binary array where each character or byte is arraigned low to high. For example: ...

3 months ago

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Binary Array to Hex Representation
Given a binary array of bytes (lsb to msb), convert it into a hexadecimal representation (msb to lsb). For example: Input: [1 ...

3 months ago

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SHA256 Hashing
Conduct SHA256 hashing on a hexadecimal input to produce a 256-bit hexadecimal output. Example: hash = SHA256('aa') hash ...

3 months ago

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EXODUS - THE VOID SINGULARITY ( PHASE OMEGA-ZERO )
Background: The Swarm has reached the edge of the known universe, entering the 5th Dimension (The Void). Here, Euclidean geomet...

3 months ago

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Number Theoretic Transform (NTT)

3 months ago

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Inverse Number Theoretic Transform (iNTT)

3 months ago

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The Singularity: Omega Pulse ( Neural Dominance )
Abstract In the final phase of Omega experiment, you no longer control a single signal. You are tasked with commanding a Quantu...

3 months ago

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The Singularity: Omega Phase
Abstract: Navigate a signal through a non-linear, resource-constrained, time-varying neural network. The topology and node prop...

3 months ago

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The Heisenberg Entanglement Protocol
Abstract: A quantum signal must be routed through nodes. The cost of transmission is not purely geometric but depends on the p...

3 months ago