Agama Point

#Bitcoin | In math we trust #bitcoinMagic #mathematics #Bitcoinfunfact (this thread focuses on mathematical principles and technology behind the #Bitcoin protocol)

Someone quietly built a GitHub repo with hundreds of FREE math textbooks from MIT, Harvard, Stanford, Georgia Tech & more Calculus Linear Algebra Number Theory Topology Quantum Field Theory All free.... All in one place → github.com/rossant/awesom…

A new release candidate of Bitcoin Core, v31.0rc1, is available for testing. This is a new major release, and follows v30.2. Work-in-progress release notes are here: github.com/bitcoin-core/b… Binaries are available here: bitcoincore.org/bin/bitcoin-co…

10,000 digits of π visualized in MATLAB! Code ➡️ spr.ly/6017h4fjJ #PiDay

Kolik číslic π potřebujete 3.14159: běžná technická praxe 3.1415926535: obvod Země na milimetry 3.141592653589793238462643383279502884: poloměr vesmíru s přesností rovnající se velikosti atomu vodíku. A zde je číslo π na milion míst: beda.cz/~jirkaj/pi/ind…

Laplace transforms come to life like never before with computation and visualization everywhere in the new Wolfram eTextbook "Laplace Transforms in Theory and Practice." Download it for free today: wolfram-media.com/products/lapla…

@steidacz On chce mír.

Dotace pro vlastní firmu jsou pro Babiše důležitější než obrana země. Na dotace se prachy našly, na obranu ne.

Download this incredibly comprehensive 1048-page PDF eBook: Mathematics for Computer Science: courses.csail.mit.edu/6.042/spring18… from @MIT @MIT_CSAIL ————— #ComputerScience #Algorithms #ComputationalScience

Yeah #Tropic01 manager. ECC Keys in bubles. I like this style of view. Even bricked chip would not stop me ! Using model now. github.com/petrkr/tropic0… @LabOctopus @tropicsquare

[Download 698-page PDF eBook] Everything You Always Wanted To Know About #Mathematics* (*But didn’t even know to ask) A Guided Journey Into the World of Abstract Mathematics, Theorems, and the Writing of Proofs: math.cmu.edu/~jmackey/151_1…

PROGRAMMABLE BACTERIA IS KEY IN THE WIRELESS CONTROL OF MOLECULES USING FREQUENCIES Biological Computing 3.1.3.5 Plasmid DNA Plasmids are one of the indispensable common carriers in genetic engineering, perfectly meeting a series of conditions required as a genetic engineering carrier [7]. Plasmids are essentially a sub-cellular level genetic element, neither wrapped in a protein shell nor having an independent life cycle outside the cell. It depends on the host cell for replication & proliferation, stably inherited to the daughter cells w/ the division of the host cell, but once it leaves the host cell environment, the plasmid cannot survive independently. Plasmids have a certain compensatory effect on the function of the host cell, & they achieve this by regulating various biological processes. Plasmids have the ability to replicate & transcribe autonomously, which is one of the key characteristics of them as gene carriers. They can ensure a constant copy number in daughter cells, thereby stably transmitting & expressing the genetic information they carry. In addition, the existence form of plasmids in cells is flexible & diverse, they can either independently exist in the cytoplasm or integrate into the bacterial chromosomal DNA, this flexibility provides great convenience for genetic engineering operations [7]. As stable genetic elements outside the chromosome, plasmids typically range in size from 1 to 200 kilobase pairs (kb), presenting a double-stranded closed circular DNA structure. In terms of structural complexity, plasmids are relatively simple, even more so than viruses (lab made). In E. coli, a model organism, scientists have identified & classified various types of plasmids, the most well-known of which include F plasmids, R plasmids, & Col plasmids. F plasmids, also known as F factors or sex factors, have a unique ability to carry genes from the host chromosome & transfer them to recipient cells that originally did not contain the plasmid, achieving horizontal gene transfer. R plasmids, known as resistance factors because they encode one or more antibiotic resistance genes, not only endow bacteria w/ resistance to specific antibiotics but can also transfer this resistance to recipient cells lacking the corresponding plasmid under suitable conditions, enabling the latter to also acquire antibiotic resistance. As for Col plasmids, they are a type of factor that produces colicins, the genes they encode control the synthesis of colicins. Colicins are a type of protein w/ strong antibacterial activity, capable of killing bacterial strains that are closely related to the E. coli producing the Col plasmid but do not carry the plasmid. In the coding design of plasmid DNA, all plasmid DNA molecules suitable for use as gene cloning vectors share 3 core components: Replicon structure, Selective Marker, & Cloning Site. Specifically, the Replicon structure is the basis for plasmid self-replication, which includes a key replication initiation site (Origin of Replication, abbreviated as ori) responsible for initiating the DNA replication process; it ALSO CONTAINS REGULATORY GENES TO CONTROL THE FREQUENCY & EFFICIENCY OF REPLICATION, & Replicon coding genes, which are crucial to the plasmid’s replication mechanism. The Multiple Cloning Site (MCS) consists of a series of single restriction enzyme cutting sites, providing precise insertion points for exogenous DNA fragments, allowing researchers to insert target genes or DNA sequences into specific locations on the plasmid as needed. link.springer.com/content/pdf/10… Building machines w/ DNA molecules We discuss the potential of DNA for creating machines that are both encoded by & built from DNA molecules. We review the main methods of DNA nanostructure assembly, describe recent advances in building increasingly complex molecular structures, & discuss strategies for creating machine-like nanostructures that can be actuated & move.  pmc.ncbi.nlm.nih.gov/articles/PMC69…

Mathematics. Almost looks like a life-form in this visualization by by Andrea Belloni, @Waterflowing0, used with permission. The Aizawa attractor is a beautiful 3D strange attractor exhibiting chaotic behavior.

New Paper -- "On the Mechanism and Dynamics of Modular Addition: Fourier Features, Lottery Ticket, and Grokking" We give a complete mechanistic and dynamic picture of how neural networks learn modular addition f(x,y) = (x+y) mod p. We answer three questions: (1) What does the trained network compute? (2) How do Fourier features emerge during training? (3) Why does grokking happen? Each answer comes with a mathematical characterization backed by theory and experiments. Paper: arxiv.org/abs/2602.16849 Blog: y-agent.github.io/posts/modular_… Demo: huggingface.co/spaces/y-agent… Code: github.com/Y-Agent/modula…

"What is Mathematics? An Elementary Approach to Ideas and Methods" by Richard Courant and Herbert Robbins Einstein said about this book: "A lucid representation of fundamental concepts and methods of the whole field of mathematics" link: archive.org/details/WhatIs…

kampan konci stylove jednadvacateho :) takže dnes (možná ještě zítra?) poslední den, pokud by někdo ještě chtěl papírovou knížku, odkaz na pdf se odesle vsem prispevatelum pradepodobne zitra vsem moc diky!

Particle attractor animations written in javascript.

21,000,000 BTC ∞ USD Choose wisely.

Everyone celebrates Bitcoin volatility declining. 🤦‍♂️ -87% → -84% → -77% → -45% But that's not what matters. Look at the market cap wipeout: -$21B → -$350B → -$1.13T → -$1.33T Today's Bitcoin is a completely different asset than it was in previous cycles. From a capital allocator's perspective, surviving a $1.3T wipeout is not the same game as surviving a $21B one. Only when #BTC successfully comes back from this — can we definitively say it survived. And that's the real test. Not the % drop. The absolute destruction of wealth it can absorb and come back from. 👇🤝

@alexpilar uz si neco precetl i z knihy Matematika Bitcoinu?

Má timeline v lednu: Shorův algoritmus: dialog. Teorie her: dialog. Kryptografie: dialog. Demonstrace pro Pavla: „ty starej zmrde!!!“ Cypherpunk rules. 🤷🏽‍♂️💪

#cellularautomaton #セル・オートマトン 1e2-cn3er4inr5ej6aci7e/2ce4et5iy8/3