Google: 90% of our engineers use the software you wrote (Homebrew), but... 11 years ago
acyclic, connected graph a tree
This is the graph theoretic definition of a tree.
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haversoe
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Elliptic Curve Cryptography: a gentle introduction 11 years ago
A group is a set equipped with a binary operator that obeys a few rules. One of the rules is the existence of inverses. If the operator is addition, then your description is correct. That is, every element x of the underlying set has an additive inverse x^-1 also in the set such that x + x^-1 = 0. Obviously, zero needs to be in the set as well and in some constructions of the natural numbers it is not.