Mathematical Association of America的动态

In double breakthrough, mathematician helps solve two long-standing problems https://lnkd.in/ef3M8584

In double breakthrough, mathematician helps solve two long-standing problems https://lnkd.in/gX5a4H9h

Mathematicians have proved the geometric Langlands conjecture, a key component of one of the most sweeping paradigms in modern mathematics. The proof involves more than 800 pages spread over five papers. https://lnkd.in/eP8647Jy Figurative gardens of mathematical objects called eigensheaves played an important role in the recent proof of the geometric Langlands conjecture. Our new explainer details what makes sheaves such a useful tool: https://lnkd.in/e2MJFMH5

Monumental Proof Settles Geometric Langlands Conjecture In work that has been 30 years in the making, mathematicians have proved a major part of a profound mathematical vision called the Langlands program. The Langlands program, originated by Robert Langlands in the 1960s, is a vast generalization of Fourier analysis, a far-reaching framework in which complex waves are expressed in terms of smoothly oscillating sine waves. The Langlands program holds sway in three separate areas of mathematics: number theory, geometry and something called function fields. These three settings are connected by a web of analogies commonly called mathematics’?Rosetta stone. Now, a?new set of papers?has settled the Langlands conjecture in the geometric column of the Rosetta stone. https://lnkd.in/gvSBh8j4

For the (math, quants) geeks out there who have nothing to read over the next year, here is an awesome article on the proof for the Geometrical Langland Conjecture. https://lnkd.in/gbSJWtaB Doc links in the article (well over 700 pages in total, hence the year mentioned above). This is a great source of ideas for building investment algos. Looks like my reading for the next year just got re-arranged. #langlands #markets #investing

Mathematicians have proved the geometric Langlands conjecture, a key component of one of the most sweeping paradigms in modern mathematics. The proof involves more than 800 pages spread over five papers. https://lnkd.in/ecm6W9Bg Figurative gardens of mathematical objects called eigensheaves played an important role in the recent proof of the geometric Langlands conjecture. Our new explainer details what makes sheaves such a useful tool: https://lnkd.in/eRZhhBF9

The Langlands program, originated by Robert Langlands in the 1960s, is a vast generalization of Fourier analysis, a far-reaching framework in which complex waves are expressed in terms of smoothly oscillating sine waves. The Langlands program holds sway in three separate areas of mathematics: number theory, geometry and something called function fields. These three settings are connected by a web of analogies commonly called mathematics’ Rosetta stone.

Exciting advancements in mathematics have emerged with the discovery of a new method for counting prime numbers. This groundbreaking work offers fresh insights into number theory and opens doors for further exploration in the field. For those interested in the intricacies of mathematics and the ongoing quest to understand prime numbers, I highly recommend reading this enlightening blog post. Explore the details and implications of this significant discovery here: https://ift.tt/NSiLPmp.

Hi everyone! Today I want to share some insights on the nuances of floats that I learned from an interview with Professor Michael Overton (https://lnkd.in/e8QkCbMz) by Nikita Sobolev (https://lnkd.in/etw7u-ef). As a result of this interview, I realized I had a big gap in this area, so I delved into the book Numerical Computing with IEEE Floating Point Arithmetic, published in 2001. Despite the fact that the book is already 23 years old, but many aspects of it are still relevant and quite informative. For example, beyond the nuances of working with floats, the book also contains historical insights, like: "The idea of representing numbers using powers of 10 was used by many ancient peoples, e.g., the Hebrews, the Greeks, the Romans, and the Chinese, but the positional system we use today was not." "The reason for the decimal choice is the simple biological fact that humans have 10 fingers and thumbs." In short, I highly recommend this book, as well as the interview, to anyone involved in development! As for me, It took 2 days for me learn this book, but now I can tell that I have significantly improved my knowledge in scientific calculations, so I wish the same to you.

Behold now. Without any further due. Let's see the magnificence of Mathematics. The first known human-kind visualization of function is presented here, with three space arguments and a one-time argument. Q = f(x, y, z, t). https://lnkd.in/dDzchreY