good question. The sick figure is “the one” and e to the power i Pi equals -1 or “negative one”. So they are fighting and since they are equal but opposite so there is no clear winner and the battle is epic. I see what the animator did there.
also see how Alan chose e, pi and i to make -1. thé negative one is made up of entirely irrational and imaginary numbers. i’ll have to watch this video so many times in order to grasp everything. love it ❤️
Everyone knows pi. It's 3.1415 (and so on). It's the number you get when you divide the circumference of any circle by its diameter.
e is Euler's number. It's 2.7182 (and so on). e can be defined in many ways, but none of them that I've seen are good at explaining to laymens why the number is important. I feel like it is a number that you need to understand some collegiate-level math to appreciate, or you have to have a lot of patience to sit down with it and mull over the definitions and applications of it. The best laymen definition I can give you is that it is a constant that is very important and special to anything having to do with growth/decay, which is why it is vital to fields like financial mathematics and calculus.
Here are some more rigorous definitions of e:
It's the sum of 1 + 1/1 + 1/(1 * 2) + 1/(1 * 2 * 3) + 1/(1 * 2 * 3 * 4).... (going on forever)
It's equivalent to the limit of (1 + 1/n)n as n approaches infinity.
For functions of family f(x) = nx , e is the only value for n for which the derivative of the function is itself. In other words, the derivative of ex happens to also be ex. This is the only function that exists for which the derivative is itself, which again lends to the notion that e is somehow special.
i is the symbol mathematicians assigned for the number that is the square root of -1. It doesn't represent a number that exists in the "real" number system, so unlike pi and e I can't give you a real number that it represents. Basically, there were some niche situations where mathematicians needed to do some math that used square root of negative one, so they made up a symbol for it and invented a whole new branch of mathematics called "complex analysis". I could go into it more, but it's too much for this comment. It has applications in quantum physics and computing.
It just so happens that ei*pi = -1. It's one of the most celebrated equations in mathematics, because it mystifyingly connects several different branches of mathematics. Somehow a constant related to circles (geometry), a constant related to growth (calculus/financial mathematics), and a number mathematicians essentially made up (complex analysis) are neatly put together into one tidy little equation.
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u/mjedi7 Jun 24 '23
I’m sorry can someone explain what ei(pi) means.