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An **ordered exponential field** is a mathematical structure that extends the concepts of both fields and order theory. In particular, it refers to an ordered field equipped with a particular function that behaves like the exponential function. ### Key Components: 1. **Field**: A set equipped with two operations, typically addition and multiplication, which satisfy certain properties (like associativity, commutativity, the existence of additive and multiplicative identities, etc.).

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  1. Algebraic structures
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