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MATHEMATICS
Difficulty: easy
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Program a simple function that partially integrates a closure.
A possible function signature in Pseudocode:
float integrate (float begin, float end, float presicion, closure fx)

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Throwback 1960
Difficile!
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Do any coding challenge above. BUT, you have to reduce the amount of kilobytes the source code takes on your hard drive. A good start is to delete blank spaces!

Machine Learning 1x1
involves mathematics, but easy
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Program a single perceptron and train it to work like an AND gate. Don't use a third party library

SORTING
algoooooooos
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Find at least 5 ways to sort an array of elements. Atleast three of them have to be faster than O (n^a) where a > 1

Pattern-Matching
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Find a way to match two strings that are similar. Example:
"Tree" and "Tkee" are matched,
"Tree" and "Coffee" aren't.
If you can, add a way to set the presicion.

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If you need help for solving a challenge or want to be in touch with programmers, join our group: https://www.tg-me.com/joinchat-EXSmZwy0PqOMNWPKxI3shw

Are you good at C++ and want to contribute to an uprising Kernel that aims at being compatible with Linux? PM @linuxer4fun if you wan't to contribute!

PRNG
maths, algos, wikipedia, tears
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Write a pseudo-random-number-generator, then test it. when outputting 10000 numbers it should on average have at most three doubles!

STDLIB
time consuming, very difficult, but very teaching, worth it!

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Implement the standard-library of your favourite language completely. Make sure that it works exactly like the original and unit test everything!

Trivia
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Find at least three ways to add up two numbers, a and b. Do the same for multiplication

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Books:
https://www.tg-me.com/pdfcollection123

Novellas:
http://patreon.com/qcat

Technical references:
cppreference.com
asmtutor.org

Planning 😢
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Take any program you frequently use and write a UML to it. A good UML consists of three layers:
1) Interaction with the user
2) Processing
3) Data storing

Collision Detection
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In order to see wether two objects collide together without slowing down the game, game developers came up with many tricks. Can you find one of them?
Make an algo that detects collision and runs fast even with 1000 objects!

Education
=====================
Your phone just rang, a school tasked you with programming a simulation of mechanics. Embarassing! They don't even allow you to use the fast C++ or the compatible javascript. They want you to use Java. Your program can't exceed 100megabyte in memory consumption.

You better get cracking soon