Motivate the Math
Fundamentals and average_gary
What is the math that enables cryptography?
MTM08: Math Culture and Logarithms
Square and Multipply Algorithmhttps://www.youtube.com/watch?v=cbGB__V8MNkFundamentalsnpub12eml5kmtrjmdt0h8shgg32gye5yqsf2jha6a70jrqt82q9d960sspky99gAverageGarynpub160t5zfxalddaccdc7xx30sentwa5lrr3rq4rtm38x99ynf8t0vwsvzyjc9
MTM07: Proofs / How Do You Know You What You Think You Know?
Proofshttps://www.youtube.com/watch?v=HIkIqt_ytdcFermat's Little Theorem https://mathworld.wolfram.com/FermatsLittleTheorem.html Euler's Function https://en.wikipedia.org/wiki/Euler's_totient_function Elliptic Curves: Point Addition https://www.rareskills.io/post/elliptic-curves-finite-fields Fundamentals npub12eml5kmtrjmdt0h8shgg32gye5yqsf2jha6a70jrqt82q9d960sspky99g AverageGary npub160t5zfxalddaccdc7xx30sentwa5lrr3rq4rtm38x99ynf8t0vwsvzyjc9
MTM06: Proof By Mathematical Induction: A Validation Cheatcode
Proof by Mathematical Inductionhttps://youtu.be/Tm2PJPvAULs?si=H_RJ5rmVeyPDYM9Whttps://youtu.be/KW5k7ZsQmwo?si=8rEdf2dUcTw74QZ5Understanding Cryptographyhttps://www.youtube.com/watch?v=2aHkqB2-46kFundamentals npub12eml5kmtrjmdt0h8shgg32gye5yqsf2jha6a70jrqt82q9d960sspky99gAverageGary npub160t5zfxalddaccdc7xx30sentwa5lrr3rq4rtm38x99ynf8t0vwsvzyjc9In this episode, we dive deep into the fascinating world of elliptic curves and their significance in cryptography. We start by discussing the basics of
MTM05: Elliptic Curves and.Fermat's Little Theorem
2^173(mod5) = (2^4)^43 * 2^1 = 1^43 * 2^1 = 1 * 2 = 2 2^4(mod5) = 1 because 16(mod5) = 1Fermat's Little Theorem https://mathworld.wolfram.com/FermatsLittleTheorem.htmlEuler's Function https://en.wikipedia.org/wiki/Euler's_totient_functionElliptic Curves: Point Addition https://www.rareskills.io/post/elliptic-curves-finite-fieldsDiffie-Hellman Illustration https://www.youtube.com/watch?v=NmM9HA2MQGIFundamentals npub12eml5kmtrjmdt0h8shgg32gye5yqsf2jha6a70jrqt82q9d960sspky99gAverageGary n
MTM04: Levelling Up on Bitcoin's Supply Cap
Bitcoin's Issuance Schedulehttps://blog.lopp.net/how-is-the-21-million-bitcoin-cap-defined-and-enforced/What is a Geometric Serieshttps://en.wikipedia.org/wiki/Geometric_seriesCalculating the Sum of a Geometric Serieshttps://www.youtube.com/watch?v=PqXAjCXYbNkFundamentalsnpub12eml5kmtrjmdt0h8shgg32gye5yqsf2jha6a70jrqt82q9d960sspky99gAverageGarynpub160t5zfxalddaccdc7xx30sentwa5lrr3rq4rtm38x99ynf8t0vwsvzyjc9In this episode, we delve into the complexities of mathematics and its profound impact on o
MTM03: Modular Arithmetic: The Queen Bee
What is a Relationhttps://www.youtube.com/watch?v=1v0qH4l9A2c&list=PLg8ZEeSiXsjgoQJzRcq60GjK0UrkMsA3-&index=12What is an Equivalence Relationhttps://www.youtube.com/watch?v=o-PhSZztHC0&list=PLg8ZEeSiXsjgoQJzRcq60GjK0UrkMsA3-&index=13Modular Arithmetic (a little advanced but its good support until I find something simpler)https://www.youtube.com/watch?v=d-n92Ml1iu0&list=PLDDGPdw7e6Ag1EIznZ-m-qXu4XX3A0cIz&index=78Fundamentalsnpub12eml5kmtrjmdt0h8shgg32gye5yqsf2jha6a70jrqt82
MTM02.1 AI Recap: Groups & Structures
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MTM02: Exploring Groups and Mathematical Structures
Wrath of Math: https://www.youtube.com/watch?v=VzsAehzmjrU&list=PLztBpqftvzxVvdVmBMSM4PVeOsE5w1NnNA Book of Abstract Algebra: https://www.amazon.com/Book-Abstract-Algebra-Second-Mathematics/dp/0486474178/ In this second episode of "Motivate the Math," we dive into the foundational concepts of group theory, a crucial element in understanding cryptography and mathematics. We start by addressing feedback from our first episode, emphasizing the importance of making math accessib
MTM01: Motivating the Math
In this episode, Average Gary and Fundamentals dive into the fascinating world of mathematics, exploring its critical role in understanding Bitcoin and cryptography. They begin by discussing the motivation behind learning math, especially in the context of Bitcoin, and why it is essential for achieving personal sovereignty and a deeper understanding of cryptographic principles.The hosts explore the common phrase "do the math" often heard in Bitcoin circles, unraveling the complexities behind it