Fundamentals and average_gary

Motivate the Math

Education EN ↓ 24 episodes

What is the math that enables cryptography?

Author

Fundamentals and average_gary

Episodes

MTM23: QED 25.12.2025 36:26

Fundamentals.  @Fundamentals21m Book: https://zeuspay.com/btc-for-institutions npub12eml5kmtrjmdt0h8shgg32gye5yqsf2jha6a70jrqt82q9d960sspky99g AverageGary npub160t5zfxalddaccdc7xx30sentwa5lrr3rq4rtm38x99ynf8t0vwsvzyjc9 In this closing episode, I reflect with Gary on a year of building Motivate the Math—what we learned, where we fell short, and why the mission continues. We talk candidly about...

MTM22: The Cryptography Workbook (part 1) 13.10.2025 50:38

Fundamentals.  @Fundamentals21m Book: https://zeuspay.com/btc-for-institutions npub12eml5kmtrjmdt0h8shgg32gye5yqsf2jha6a70jrqt82q9d960sspky99g AverageGary npub160t5zfxalddaccdc7xx30sentwa5lrr3rq4rtm38x99ynf8t0vwsvzyjc9 Cryptography Wookbook: https://github.com/cryptography-camp/workbook ---- navigate to the current release on the right tab to download the workbook ---- DO NOT LISTEN TO THE EP...

MTM21: Probability, Poisson, and Adversarial Noderunning 29.08.2025 1:07:39

Fundamentals.  @Fundamentals21m Book: https://zeuspay.com/btc-for-institutions npub12eml5kmtrjmdt0h8shgg32gye5yqsf2jha6a70jrqt82q9d960sspky99g AverageGary npub160t5zfxalddaccdc7xx30sentwa5lrr3rq4rtm38x99ynf8t0vwsvzyjc9 Pascal's Triangle https://en.wikipedia.org/wiki/Pascal's_triangle In this episode, we delve into the fascinating world of probability distributions and their relevance to Bitco...

MTM20: Quantum FUD Risks & Myths 30.07.2025 59:26

Fundamentals.  @Fundamentals21m Book: https://zeuspay.com/btc-for-institutions npub12eml5kmtrjmdt0h8shgg32gye5yqsf2jha6a70jrqt82q9d960sspky99g AverageGary npub160t5zfxalddaccdc7xx30sentwa5lrr3rq4rtm38x99ynf8t0vwsvzyjc9 In this episode, we dive into the intriguing world of quantum computing and its potential impact on Bitcoin, specifically focusing on the vulnerabilities associated with Taproo...

MTM19: Linear Algebra, Bitcoin as a Standard Basis for Money 04.07.2025 54:51

Fundamentals.  @Fundamentals21m Book:  https://zeuspay.com/btc-for-institutions npub12eml5kmtrjmdt0h8shgg32gye5yqsf2jha6a70jrqt82q9d960sspky99g AverageGary npub160t5zfxalddaccdc7xx30sentwa5lrr3rq4rtm38x99ynf8t0vwsvzyjc9 In this episode, we dive into the challenges of keeping up with podcast production and the importance of discourse in understanding different perspectives. We reflect on...

MTM18: DahLIAS: We Tried (part 2) 03.07.2025 52:56

MTM17: DahLIAS: We Tried 25.05.2025 56:12

The paper: https://eprint.iacr.org/2025/692.pdf Fundamentals.  @Fundamentals21m npub12eml5kmtrjmdt0h8shgg32gye5yqsf2jha6a70jrqt82q9d960sspky99g XMR: xmrchat.com/fundamentals AverageGary npub160t5zfxalddaccdc7xx30sentwa5lrr3rq4rtm38x99ynf8t0vwsvzyjc9 In this episode, we dive into the intricacies of Bitcoin, cryptography, and the fascinating world of aggregate signatures. We discuss the upcomin...

MTM16: Showing Up, Making Blocks 19.05.2025 1:02:59

Fundamentals.  @Fundamentals21m npub12eml5kmtrjmdt0h8shgg32gye5yqsf2jha6a70jrqt82q9d960sspky99g AverageGary npub160t5zfxalddaccdc7xx30sentwa5lrr3rq4rtm38x99ynf8t0vwsvzyjc9 In this episode, we delve into the complexities of showing up and the energy it requires, especially in the context of Bitcoin mining and decentralization. The conversation touches on the challenges of mining centralization...

MTM15: The Therapy Episode 03.05.2025 1:08:55

Fundamentals  @Fundamentals21m https://xmrchat.com/fundamentals npub12eml5kmtrjmdt0h8shgg32gye5yqsf2jha6a70jrqt82q9d960sspky99g AverageGary npub160t5zfxalddaccdc7xx30sentwa5lrr3rq4rtm38x99ynf8t0vwsvzyjc9 Permutation Groups https://www.youtube.com/watch?v=VDhy7KXyHF8 In this heartfelt episode of "Motivating the Math," we delve into the personal and professional crossroads faced by one of our h...

MTM14: Verification vs. Intellectual Grifting 24.04.2025 1:07:28

Fundamentals.  @Fundamentals21m npub12eml5kmtrjmdt0h8shgg32gye5yqsf2jha6a70jrqt82q9d960sspky99g AverageGary npub160t5zfxalddaccdc7xx30sentwa5lrr3rq4rtm38x99ynf8t0vwsvzyjc9 Jiimmy Breedlove's nostr post: https://cdn.satellite.earth/83a0e194c453c9cab247e63d9fb15ef81d8a55af10d0f76df111a205b065bcf5.jpg In this episode, we dive into the intricacies of balancing personal and professional life, as t...

MTM13: Finding the Joy, and More Schnorr 08.04.2025 1:01:24

Fundamentals.  @Fundamentals21m npub12eml5kmtrjmdt0h8shgg32gye5yqsf2jha6a70jrqt82q9d960sspky99g AverageGary npub160t5zfxalddaccdc7xx30sentwa5lrr3rq4rtm38x99ynf8t0vwsvzyjc9 Dr. Peyam Youtube https://www.youtube.com/c/drpeyam BIP340 https://github.com/bitcoin/bips/tree/master/bip-0340 In this episode, we dive into the world of mathematics and cryptography, exploring the nuances of teaching and...

MTM12: A Generalist's Lament, Staying in the Game 04.04.2025 54:23

Fundamentals.  @Fundamentals21m npub12eml5kmtrjmdt0h8shgg32gye5yqsf2jha6a70jrqt82q9d960sspky99g AverageGary npub160t5zfxalddaccdc7xx30sentwa5lrr3rq4rtm38x99ynf8t0vwsvzyjc9 In this episode, I'm joined by Average Gary as we delve into the fascinating intersection of mathematics and music, exploring how mathematical concepts can be applied to understand musical patterns and time signatures. We d...

MTM11: A Mathemeticians Lament and Schnorr Signatures 26.03.2025 51:38

A Mathemetician's Lament https://cdn.satellite.earth/473cc46a079cb18196fb3b9b11933b373b607d5e3f8b5e581f3147387b0f17dd.pdf Learn Me a Bitcoin: Schnorr https://learnmeabitcoin.com/technical/cryptography/elliptic-curve/schnorr/ Fundamentals npub12eml5kmtrjmdt0h8shgg32gye5yqsf2jha6a70jrqt82q9d960sspky99g AverageGary npub160t5zfxalddaccdc7xx30sentwa5lrr3rq4rtm38x99ynf8t0vwsvzyjc9

MTM10: Ape Mathrandir Tests Gary and Fundamentals 21.03.2025 51:17

Motivate the Math Nostr Community https://satellite.earth/n/MotivateTheMath/npub12eml5kmtrjmdt0h8shgg32gye5yqsf2jha6a70jrqt82q9d960sspky99g Wolfram Alpha https://www.wolframalpha.com/ Sieve of Eratosthenes https://en.wikipedia.org/wiki/Sieve_of_Eratosthenes In this milestone 10th episode, we dive deep into the world of mathematics, exploring the fascinating concept of math as a liberal art and its...

MTM09: Acknowledging Progress and Elliptic Point Addition 13.03.2025 59:21

Motivate the Math Nostr Community https://satellite.earth/n/MotivateTheMath/npub12eml5kmtrjmdt0h8shgg32gye5yqsf2jha6a70jrqt82q9d960sspky99g A First Course in Abstract Algebra Textbook https://a.co/d/ekzPCaQ Isomorphism Between Elliptic Curve Addition and "Regular" Addition https://math.stackexchange.com/questions/3831478/isomorphism-between-elliptic-curve-group-over-mathbb-r-and-0-1-under-addi Has...

MTM08: Math Culture and Logarithms 06.03.2025 1:01:07

Square and Multipply Algorithm https://www.youtube.com/watch?v=cbGB__V8MNk Fundamentals npub12eml5kmtrjmdt0h8shgg32gye5yqsf2jha6a70jrqt82q9d960sspky99g AverageGary npub160t5zfxalddaccdc7xx30sentwa5lrr3rq4rtm38x99ynf8t0vwsvzyjc9

MTM07: Proofs / How Do You Know You What You Think You Know? 26.02.2025 1:00:14

Proofs https://www.youtube.com/watch?v=HIkIqt_ytdc Fermat'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...

MTM06: Proof By Mathematical Induction: A Validation Cheatcode 19.02.2025 1:05:22

Proof by Mathematical Induction https://youtu.be/Tm2PJPvAULs?si=H_RJ5rmVeyPDYM9W https://youtu.be/KW5k7ZsQmwo?si=8rEdf2dUcTw74QZ5 Understanding Cryptography https://www.youtube.com/watch?v=2aHkqB2-46k Fundamentals npub12eml5kmtrjmdt0h8shgg32gye5yqsf2jha6a70jrqt82q9d960sspky99g AverageGary npub160t5zfxalddaccdc7xx30sentwa5lrr3rq4rtm38x99ynf8t0vwsvzyjc9 In this episode, we dive deep into the fascina...

MTM05: Elliptic Curves and.Fermat's Little Theorem 19.02.2025 1:02:57

2^173(mod5) = (2^4)^43 * 2^1 = 1^43 * 2^1 = 1 * 2 = 2  2^4(mod5) = 1 because 16(mod5) = 1 Fermat'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 Diffie-Hellman Illustration https://www.youtube.com/w...

MTM04: Levelling Up on Bitcoin's Supply Cap 06.02.2025 59:48

Bitcoin's Issuance Schedule https://blog.lopp.net/how-is-the-21-million-bitcoin-cap-defined-and-enforced/ What is a Geometric Series https://en.wikipedia.org/wiki/Geometric_series Calculating the Sum of a Geometric Series https://www.youtube.com/watch?v=PqXAjCXYbNk Fundamentals npub12eml5kmtrjmdt0h8shgg32gye5yqsf2jha6a70jrqt82q9d960sspky99g AverageGary npub160t5zfxalddaccdc7xx30sentwa5lrr3rq4rtm38...

MTM03: Modular Arithmetic: The Queen Bee 30.01.2025 1:03:52

What is a Relation https://www.youtube.com/watch?v=1v0qH4l9A2c&list=PLg8ZEeSiXsjgoQJzRcq60GjK0UrkMsA3-&index=12 What is an Equivalence Relation https://www.youtube.com/watch?v=o-PhSZztHC0&list=PLg8ZEeSiXsjgoQJzRcq60GjK0UrkMsA3-&index=13 Modular Arithmetic (a little advanced but its good support until I find something simpler) https://www.youtube.com/watch?v=d-n92Ml1iu0&list=PLD...

MTM02.1 AI Recap: Groups & Structures 25.01.2025 20:25

MTM02: Exploring Groups and Mathematical Structures 23.01.2025 1:02:59

Wrath of Math:    https://www.youtube.com/watch?v=VzsAehzmjrU&list=PLztBpqftvzxVvdVmBMSM4PVeOsE5w1NnN A 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...

MTM01: Motivating the Math 14.01.2025 1:00:22

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 t...