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GPT-5.2 Pro delivers a Lean-verified proof of Erdős Problem 397, marking a shift from pattern-matching AI to autonomous mathematical reasoning.

Python, like most other programming languages, has special operators for performing bitwise operations on data. A bitwise operation is an operation that is applied to individual bits of some object.

In each case, the left-hand side evaluates to something falsey (empty sequence or empty set), so the result is that first falsey value. Python never bothers to evaluate anything on the right-hand side ...

Multiplication in Python may seem simple at first—just use the * operator—but it actually covers far more than just numbers. You can use * to multiply integers and floats, repeat strings and lists, or ...

To build a large-scale quantum computer that works, scientists and engineers need to overcome the spontaneous errors that quantum bits, or qubits, create as they operate. Scientists encode these ...