Hey guys! Iv'e been wondering how algorithms work when coding and how to implement them into actual components. I came across this video for an example. Arduino Laser Projector - YouTube
I don't have a specific thing I want to do, I just want to get a clear understanding of it.
I have been coding for a year and a half (so process).
al·go·rithm
noun: algorithm; plural noun: algorithms
A process or set of rules to be followed in calculations or other problem-solving operations, especially by a computer.
In other words: a recipe to be followed when writing your code.
Example: an algorithm to calculate the average of N numbers
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Hey guys! Iv'e been wondering how algorithms work when coding and how to implement them into actual components.
...
I don't have a specific thing I want to do, I just want to get a clear understanding of it.
Every program you write uses algorithms. And just like there are simple programs there are simple to understand algorithms. Try writing a functions that adds two numbers and returns the sum.
I suspect you would like to figure out how to write algorithms that solve complicated problems. Its just like everything else. You need to learn and practice. There are many algorithms that have been analysed, documented and discussed. Have a look at a couple of them and then start programming. Then get back, get some more inspiration from the internet and program some more.
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I came across this video for an example.
All I saw is a moving light but I confess I did not watch all the video. Where in the video does the algorithm appear?
...R
Well of course, it doesn't. 
It is an Arduino driving two steppers to generate a rather slow laser projector. Unfortunately, the video is severely hampered by the camera's shutter. 
When you are talking about the laser projector project (Laser Projector V1 - StanleyProjects), what part are you calling the "algorithm"?