Another example comes from the complex conjugation automorphism on the complex numbers, in which case (3) asserts the identity for any polynomial function on the complex numbers, and any complex number . What was surprising to me (as someone who had not internalized the Yoneda lemma) was ...
A finite group is said to be a Frobenius group if there is a non-trivial subgroup of (known as the Frobenius complement of ) such that the conjugates of are “disjoint as possible” in the sense that whenever . This gives a decomposition where the Frobenius kernel of is defined as the...
“With geometric and graph-based ML methods going from niche to one of the hottest fields of AI research today, it is exciting to imagine what the next twelve months will hold.”— Nathan Benaich, General Partner of Air Street Capital and co-author of the State of AI Report In retrospect...