Welcome to the exciting world of Elliptic Curves, an area in mathematics that plays a key role in modern cryptography! Follow this thread to explore a #BookList aimed at mastering this fascinating field. No matter your background, there's something here for you!(1/11)
A few basic ways the #geometry of Minkowski spacetime differs from that of Euclidean. These results hold also for each tangent space of each point of curved spacetime. #math#physics
Following the successful defense of his doctoral dissertation, the professor administering the examination, Nobel Laureate James Franck reportedly left the room saying “I’m glad that’s over. He was at the point of questioning me”
https://t.co/BpqxmpZ3ad
It amazes me to no end that symbolic mathematical equations and biologically embodied patterns can be isomorphic! Here is an amazing environment to play with Turing patterns from Karl Sims: https://t.co/FiCshmTbIw
A sub-group of Möbius transforms are those preserving the Poincaré upper-half (equivalently the disk). It corresponds to PSL(2) the 2x2 matrices with determinant 1. https://t.co/4DRxhmT4oU
𝗖𝗼𝗻𝘃𝗼𝗹𝘂𝘁𝗶𝗼𝗻𝘀 𝗳𝗿𝗼𝗺 𝗳𝗶𝗿𝘀𝘁 𝗽𝗿𝗶𝗻𝗰𝗶𝗽𝗹𝗲𝘀
Linear+Shift Invariant = Convolution. A simple proof with circulant matrices 🌻https://t.co/P5ifI6nPJh
📋learn how stacking convolutions with a kernel of size 3 get you a network with a receptive field of size 9👇
🔬Currently revising the poster on (statistical) distances.
🤔Any friend missing there?
👉Poster PDF: https://t.co/yZGCN2dlgD
Web page on distances:
https://t.co/CWFmlD35Ng
The eigenvalues of a symmetric matrix over the field of real numbers are all real (even though the reals are not algebraically closed). Over finite fields F, however, a symmetric matrix may have no eigenvalues in F -- but you can always go to a splitting field. #math#algebra
Nicely written book covering many concepts and structures.
Very useful & worth checking!
"Mathematics translates concepts into formalisms and applies those formalisms to derive insights*that are usually not amenable to a less formal analysis."
- J. Jost
👉https://t.co/RerejSPiiW