In the world of mathematics and computer science, understanding the relationship between different sets of data is crucial. One of the fundamental concepts that help us establish such relationships is ...

Pick a type of categorical structure: say bicategories, or monoidal categories, or whatever you like. Some of the functors between structures are equivalences, in whatever the appropriate sense might ...

As we have seen in previous videos, it happens sometimes that two keys yield the same hash value for a given table size. This is called a “hash collision” or just “collision.” Why do hash collisions ...

Abstract: This letter proposes a novel approach for designing non-surjective (NS) finite alphabet iterative decoders (FAIDs) for quasi-cyclic low-density parity-check (LDPC) codes, especially 5G LDPC ...

This semester I’ve been teaching an undergraduate course on Galois theory. It was all online, which meant a lot of work, but it was also a lot of fun: the students were great, and I got to know them ...

Due to a planned power outage on Friday, 1/14, between 8am-1pm PST, some services may be impacted. A line drawing of the Internet Archive headquarters building façade. An illustration of a magnifying ...

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In this paper we characterize a broad class of semilinear surjective operators given by the following formula where Z are Hilbert spaces, and is a suitable nonlinear function. First, we give a ...