Today we do an introduction to basic stochastics in quantum mechanics. We drag all important rules from discrete random variables over to continuous ones. We start of with the law of big numbers by rolling dice in python, talk about how probabilities come together and also discuss this in an urn model. We draw tree diagrams and talk about the path rules leading to the normalization on functions, meaning the total probability is 1. We also motivate Averages / Mean / Expected / Expectation Value and also see what the variance and standard deviation are. Enjoy! =D
0:00 Introduction 1:22 Law of Large Numbers 3:39 What are Probabilities? 8:27 Tree Diagrams and Path Rules 14:16 Total Probability 16:11 Mean / Average / Expected Value 20:23 Variance / Standard Deviation 22:56 Continuous Counterparts ... https://www.youtube.com/watch?v=OWT_jYia10E
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Today we solve the exponential equation 3^x=4^(x-1) in two different ways and generalize the result afterwards! Enjoy! =)
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Today we are going to do linear algebra, but teh really dope kind! :) By using the principle of mathematical induction, we connect the fibonacci q matrix from representation theory and it's derivative to a simple alternating expression! Enjoy this determinant boi! =D
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Sum of Entries Pascal's Triangle: https://youtu.be/gxFl1fGn_kg
Gaussian Diamond: https://youtu.be/8P0nvUjUZJU
Today we take a look at another gem! We be talkign about a diamond fraction in the form of Pascal's Triangle! :) The Solution involves Floors and is pretty spicy overall! =D Enjoy :3
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Today we are going to introduce the so-called Product Integral and are going to apply its naturally arising definition to the integral x^(dx)-1! Introducing the limit definition of the natural logarithm ln(x) and talking about riemann sums is going to help us solve this bad boi! Enjoy =)
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Cursed math, oh sht here we go again. I hope you don't enjoy! =D
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Today we derive several divisibility rules for the funny sex number and the weed number 420 :^) Enjoy! :D
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Today we talk about an interesting limit, whe op didn't allow me to use the jackhammer method :c Enjoy this eBic Big O boi! =D
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My Website: https://www.papaflammy.engineer/
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Flammy's subreddit: https://www.reddit.com/r/FlammyBois
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Got some time to spare? Make sure to add captions to my videos! =) http://www.youtube.com/timedtext_cs_panel?c=UCtAIs1VCQrymlAnw3mGonhw&tab=2
Want to know more about me? Watch my QnA! =D https://youtu.be/IjCWSDBI9Zc
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