Besides the understandable Wikipedia definition, Video "Simple Groups - Abstract Algebra by Socratica (2018)" gives an understandable one:
Given a finite group and a simple group , find all groups such that is a normal subgroup of and .
We don't really know how to make up larger groups from smaller simple groups, which would complete the classification of finite groups:
In particular, this is hard because you can't just take the direct product of groups to retrieve the original group: Section "Relationship between the quotient group and direct products".
- 2023 vimalabs.github.io/ VIMA: General Robot Manipulation with Multimodal Prompts
TODO WTF is this? How is it built? What is special about it?
Mentioned a lot in the context of superconducting quantum computers, e.g. youtu.be/t5nxusm_Umk?t=268 from Video "Quantum Computing with Superconducting Qubits by Alexandre Blais (2012)",
A Turing machine that simulates another Turing machine/input pair that has been encoded as a string.
The concept is fundamental to state several key results in computer science, notably the halting problem.
www.gvgai.net (dead as of 2023)
The project kind of died circa 2020 it seems, a shame. Likely they funding ran out. The domain is dead as of 2023, last archive from 2022: web.archive.org/web/20220331022932/http://gvgai.net/. Marks as funded by DeepMind. Researchers really should use university/GitHub domain names!
Similar goals to Ciro's 2D reinforcement learning games, but they were focusing mostly on discrete games.
They have some source at: github.com/GAIGResearch/GVGAI TODO review
From QMUL Game AI Research Group:From other universities:TODO check:
- Simon M. Lucas: gaigresearch.github.io/members/Simon-Lucas, principal investigator
- Diego Perez Liebana www.linkedin.com/in/diegoperezliebana/
- Raluca D. Gaina: www.linkedin.com/in/raluca-gaina-347518114/ from Queen Mary
- Ahmed Khalifa
- Jialin Liu
Analogous to what the Euler-Lagrange equation is to Lagrangian mechanics, Hamilton's equations give the equations of motion from a given input Hamiltonian:So once you have the Hamiltonian, you can write down this system of partial differential equations which can then be numerically solved.
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