mathpepe
Education is about making up what is important for us as a society. If we are to allow million of people to starve and get convince that what we see is just a natural state of affairs, then we have defined education as a system not about us as a society but about you as an individual. Society must speaks out with their pockets: If you are paying low wages to scientist, teachers and doctors, you are educating people about what to do with their lives. Forget about the shiny words, education is a lot about economic, incentives and giving people a decent life. Education can't be build without a framework and a clear purpose. Today all of us know what is the purpose of education: save yourself, stay alive, survive. The rest is just a hollow mud of words, deceitful, vain group of vacuous words.
In this forum virtual reality can be turned into a platform for education. We can use virtual reality to replace opium and get people sideway of our way, that is convert into passive, sleeping minds.
But otherwise, we could transform virtual reality into a platform for action, were people are actively engaged into learning and helping others to create and promote knew ways of learning and discovering what is being a human being in the 21th century.
We all want feedback, learning is about communication for action not for self-oppression. I am for an education for action. Now, go, ruin the idea, sell the product, crook the intention, ban the action and feed the vultures and continue educating for succeed.
Every Lie group has an associated vector space with the same dimension, so many question about Lie groups can be addressed by studying the associate vector space.
To suggest an application of Lie groups and their associated vector spaces, in machine learning one can reduce the number of parameters when a group act over a space (rotations and the like), so you obtain new features to train your machine in a more efficient way.