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~j0ule
I’m a polymath who tackles hard problems. I love drawing ✍️, inventing 🛠️, computers 💻, electricity ⚡️, and many forms of art 🎹 and science 👩🔬.
I hope you find my chapter of Civilpedia an inspiring place to be 💖.
Joule's Pages
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@joule
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Functions
You might have heard about "functions" like sin, cosine, or absolute value before, but, what is a function really? A function, like most things in mathematics is an abstraction. It is a [b]map[/b], between elements of one set to another set
Function Behavior
There are a few ways which we can describe the behavior of functions that can help us better understand what the function is going to do. [t]Monotonic Functions[/t]A function which is [b]monotonic[/b] is one where the function never changes "dire
Number Systems
It's just about nightfall, and a bright orange sky casts long shadows upon a meandering road. Two hitchhikers, weary from a long day of collecting fruit, hoist upon their shoulders burlap sacks, and head toward a nearby cavern. "Ada?"
Numbers
The decimal numerals themselves have no real meaning. After all, what is "the number 5?" Has anyone ever seen, heard or touched a "number 5?" [img|h=200]../storage/fragment_images/34676523710326480_88919ab90b0838c8ed7740c711af054d
Sets
Sets are a tool that we can use to keep track of objects. Whether the objects are numbers, kites, rocks, or starfish, it doesn't matter! A set is a very helpful abstraction that makes it easy for us to describe large collections of objects by their p
Fields
Fields are an imaginary concept where, at every point in space (be it 2d, 3d, or any-d), there exists a value at that point. What this value represents is up to you, as fields are only imaginary abstractions! (yes, including electric fields too). [t]S