Lexicon Labs Publishing is dedicated to merging learning with fun, offering a diverse array of educational materials for all ages.
California
Joined May 2023
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Dr. Leo Lexicon retweeted
I asked Opus 5.5 to make a video about whether or not it was conscious. The ending of this video is insane.
Dr. Leo Lexicon retweeted
The First Neo-Mathematician has emerged.
Welcome to the age of simplification, proliferation and curation!
Here is a Short Proof of the Quasi-Riemann Hypothesis.
My goal here is to substantially simplify OpenAI’s proof and focus only on proving the Quasi-Riemann Hypothesis for some 1-c, without worrying about maximizing the value of the c.
I obtained a much shorter proof for c=1/48. This proof is easy to understand and it can be taught in math courses in one lecture.
It is self-contained. It is only 21 pages including abstract, proof overview, all proof details and references.
Paper is on my homepage: shivakintali.github.io
PDF file: shivakintali.github.io/paper…
CC: @AlexKontorovich @__alpoge__ @jdlichtman @cremieuxrecueil @danielmarinq @stevenstrogatz @kenono691 @littmath @nasqret @PI010101 @nechita_ion @Isaac__kim @FryRsquared @wtgowers @MarcusduSautoy @DrEugeniaCheng @JSEllenberg @JohnDCook @JDHamkins @AxlerLinear @emilyriehl @hollykrieger @Kit_Yates_Maths @PoShenLoh @robertghrist @AlexKontorovich @kenono691 @ch_nira @rrwilliams @lreyzin @ChrisPeikert @fortnow @RadishHarmers @thomasfbloom @abhatt2 @mahdi_tcs_ @octonion @prz_chojecki @thegautamkamath
Dr. Leo Lexicon retweeted
Interesting fact:
The southeast corner of Montana is closer to Texas than it is to the northwest corner of Montana.
Dr. Leo Lexicon retweeted
San Francisco in ruins, May 28, 1906. After an earthquake at 5:12 in the morning, approximately 80% of the city was destroyed by the quake and subsequent fires. The aerial photo was taken by George Lawrence with a camera suspended on a kite, perhaps 1,000 feet above the city.
Dr. Leo Lexicon retweeted
Dinosaurs didn’t just live in a different time…
They lived in a different region of the galaxy. 🦕✨
Right now, our Solar System is orbiting the center of the Milky Way at an astonishing speed.
One full orbit — known as a galactic year — takes about:
1 Galactic Year ≈ 230 million Earth years
So when dinosaurs walked the Earth during the Triassic Period roughly 230 million years ago, our planet was on the opposite side of the Milky Way from where we are today. 🤯🌌
Since then, Earth has journeyed through:
⭐ Massive spiral arms
☄️ Regions shaped by exploding stars
🌌 Enormous clouds of cosmic dust
And during that cosmic voyage, life evolved from giant reptiles… to humans capable of studying the galaxy itself. 👀
Even though we feel perfectly still standing on Earth, we’re actually moving with the Sun at nearly:
≈ 828,000 km/h
through the Milky Way right now. 🚀
The universe never stops moving.
And neither do we. ✨
Dr. Leo Lexicon retweeted
After crossing half of the entire Pacific Ocean and making landfall over 5 different islands, Typhoon Dolphin has embarked on the final leg of a journey that has already lasted 13+ days.
Following her erratic passage through Okinawa, this colossal storm with her compact core is now back on course and heading straight for the city of Wenzhou, China.
Squally rainbands, persistent winds, and very heavy surf have started to affect hundreds of kilometers of China’s coastline. The storm’s eyewall winds are forecast to remain at 80 MPH (130 kph) by landfall.
Dr. Leo Lexicon retweeted
Albert Einstein, relaxing on a Belgian beach with his "computer,"* Austrian mathematician Walther Mayer, 1933.
*In those days, humans adept at calculations who worked for professors to help them complete their projects were known as "calculators" or "computers."
#Einstein
Dr. Leo Lexicon retweeted
FUN FACT: a toilet roll that looks half used has only 38% of the paper left
Dr. Leo Lexicon retweeted
Must-reads for 5-year-olds with picture books by Michael Rosen, Jackie Morris, Shirley Hughes, Ziggy Hanaor, Duncan Beedie & Joseph Coelho 🢂 uk.bookshop.org/lists/best-b… 🢀 #ad #kidlit #teachertwitter #homelearning
Dr. Leo Lexicon retweeted
A zoom into the amazing planetary nebula NGC 6302, also known as the Butterfly Nebula
It stretches for more than two light-years, which is half the distance from the Sun to the nearest star!
(Credit: ESA/Hubble, Risinger, Digitized Sky Survey 2, L. Calcada)