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Your Python Code Runs Perfectly… But What If Your Satellite Analysis Is Completely Wrong? ** Imagine processing satellite ...

Result 289 in OpenAI's math release is about when two nearby algebras of operators must be the same up to a small rotation.

Result 283 in OpenAI's math release is about the unitary synthesis problem. A quantum computer on n qubits can in principle ...

Result 306 in OpenAI's math release is about Dehn surgery on knots. Remove a neighbourhood of a knot in the 3-sphere and ...

Result 296 in OpenAI's math release is about Kadison's generator problem. One matrix can generate a whole matrix algebra: a ...

What is NumPy in Python? Why do Data Analysts use it?** Are Python lists enough for data analysis, or is there a faster way to ...

Result 301 in OpenAI's math release is about classifying C*-algebras by their traces. Here traces are defined on positive elements ...

Result 304 in OpenAI's math release claims one of the classic open problems of topology. Hilbert's fifth problem (1900) asked how ...

Result 293 in OpenAI's math release is about the hyperinvariant subspace problem. Every complex square matrix has an ...

Result 284 in OpenAI's math release is about how many questions a quantum computer saves. Imagine computing a yes-or-no ...

Result 277 in OpenAI's math release is about repeating quantum games. In a nonlocal game a referee sends a question to each ...

Result 288 in OpenAI's math release claims Kadison's similarity conjecture. A C*-algebra is an algebra of operators, closed in ...

Result 279 in OpenAI's math release is about factoring integers on a quantum computer with no chance of failure. Shor's algorithm ...

Result 300 in OpenAI's math release is about paving. In 1959 Kadison and Singer asked whether pure states on the diagonal ...

Feed two rules the same inputs: one climbs +2, +2, +2 and draws a straight line, the other jumps +5, +7, +9 and bends into a curve ...

Result 303 in OpenAI's math release is about infinity in operator algebras. In Hilbert's hotel two copies fit inside one; in a ...