Ansatz
A starting assumption or educated guess used to solve a problem, which is then validated by whether it produces correct results. Common in mathematics and physics.
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Origin
A German word meaning 'approach' or 'starting point,' originally referring to the positioning of a tool against a workpiece in craft traditions. It was adopted into physics and mathematics — particularly in quantum mechanics and differential equations — to describe an educated guess about the form of a solution that can then be tested and refined.
Updated February 22, 2026