We are very excited to announce tomorrow's talk by James Maynard, #fields medal winner! In L1 on the 28th at 8 PM. Join us afterwards for free snacks and biscuits! #invariants

https://www.invariants.org.uk/2023/02/talk-by-james-maynard/

Join us for the Oxford Integration Bee in L1 at the Maths Institute this Wednesday. Cash prizes and free pizza. #invariants #IntegrationBee
read more on our website https://www.invariants.org.uk/2023/02/oxford-integration-bee/

Great talk by #BenGreen. Now join us for snacks! Thanks for joining us! And join us for member talks on Monday!

#invariants

First open problem was the very interesting Rado's Boundedness conjecture! #invariants #BenGreen

Excellent start to Ben Green's #invariants talk. Not too late to join!

Join us on Wednesday, 8th Feb 8pm in L1 at the #MathematicalInstitute in #oxford for a talk by Prof. Ben Green on Some Open Problems. #invariants

Title: Some open problems
Abstract: I will discuss a variety of open problems of a type which, I hope, will be accessible to all. I will focus on problems which are not quite the most famous ones, and I will try and explain why I think they are interesting.
See you on Wednesday at the Mathematical Institute L1.

Check out another set of #puzzles from our archives. Feel free to reply thoughts, and make sure to visit our website where you can also comment with \( \LaTeX \) .

https://www.invariants.org.uk/2023/02/week-2-summer-2022-puzzle-challenge/

#invariants #oxford #AndrewWiles

Mihaela van der Schaar is the John Humphrey Plummer Professor of Machine Learning, Artificial Intelligence and Medicine at the #UniversityOfCambridge, a Fellow at #TheAlanTuringInstitute, and founder and director of the Cambridge Centre for AI in Medicine (#CCAIM).
Andrew Rashbass is the former CEO of #TheEconomistGroup, #Reuters and #EuromoneyInstitutionalInvestorPLC.

Read more here; ,https://www.invariants.org.uk/2023/01/130/

#invariants #oxford

Now (7pm ET) watch
https://youtu.be/OqoSyesJsOM
(SUBSCRIBE TO YOUTUBE
@hajiaghayi
FOR MORE)
Lesson 4: Introduction to Algorithms by Mohammad Hajiaghayi: Advanced Induction Design
We prove Cauchy-Schwarz Inq. and other #loop #invariants for #algorithms by advanced #induction.

Very excited to announce the first #invariants event of the year. Should be good fun!!

Check out the Maths + Cancer Podcast by #balliol college, #oxford fellow Vicky Neale who has given talks at the #invariants before. https://oxford.shorthandstories.com/maths-plus-cancer/

Contains lots great maths! #maths

Dr Brian Keating
IceCube’s Quantum Gravity Revelation
https://www.youtube.com/watch?v=_IJOe0eVmCQ

#DrBrianKeating #darkMatter #flavourRatio #ghostParticle #gravity #IceCube #IceCubeObservatory #invariants #LorentzInvariancViolation #LorentzSymmetry #neutrino #PoltergeistParticle #SimonsObservatory #spaceTime

Instead of an #introduction, let's just start with some hard #maths straight from #Oxford. Here's one from our #puzzle archives. Feel free to discuss in the comments, but make sure to hide your #spoilers!!!

From our 2022 Summer Puzzle Challenge,

Let 𝑓(𝑘) be the largest prime factor of positive integer 𝑘. Suppose a sequence (𝑎ₙ) satisfies

𝑎₁ = 2, 𝑎ₙ₊₁ = 𝑎ₙ + 𝑓(𝑎ₙ).

Find the largest value of 𝑛 such that 𝑎ₙ<10⁴.

All the best from the #invariants :))

#ExplainingMyResearch 11
The principle is always as follows: You want to understand some kind of complicated mathematical object, for example a knot or a manifold (see earlier: a potentially very complicated #geometric shape of any dimension). In particular, this involves being able to tell different such objects apart: Are they actually fundamentally different, or equivalent in some way?
In order to do this, mathematicians use #invariants, of which cohomologies are powerful examples.

Ada GNATprove insints that 1 is not >= 0 https://stackoverflow.com/questions/67202546/ada-gnatprove-insints-that-1-is-not-0 #ada #programming #proof-of-correctness #invariants #spark-ada #proof #ada

Proving Select Sort algorithm using SPARK https://stackoverflow.com/questions/66870675/proving-select-sort-algorithm-using-spark #ada #programming #proof-of-correctness #invariants #spark-ada #proof #ada

How to prove this invariant? https://stackoverflow.com/questions/66786841/how-to-prove-this-invariant #ada #programming #proof-of-correctness #invariants #spark-ada #proof #ada