In computational complexity theory, the complexity class 'NTIME(f(n))' is the set of decision problems that can be solved by a non-deterministic Turing machine that runs in time O(f(n)), where O is the big O notation, f is some function, and n is the size of the input (for which the problem is to be decided).
In computational complexity theory, the complexity class 'NTIME(f(n))' is the set of decision problems that can be solved by a non-deterministic Turing machine that runs in time O(f(n)), where O is the big O notation, f is some function, and n is the size of the input (for which the problem is to be decided).
==Meaning== This means that there is a non-deterministic machine that, for a given input of size n, will, for all computation paths, run in time O(f(n)) (i.e. within a fixed constant multiple of f(n), for n greater than some value), and will always "reject" the input if the answer to the decision problem is "no" for that input, while if the answer is "yes" the machine will "accept" that input for at least one computation path. Equivalently, there is a deterministic Turing machine M that runs in time O(f(n)) and is able to check an O(f(n))-length certificate for an input; if the input is a "yes" instance, then at least one certificate is accepted, if the input is a "no" instance, no certificate can make the machine accept.
Discovered by embedding cosine similarity (sentence-transformers MiniLM, 384-dim).