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# EXPTRANS: Exponential Function
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| Property | Value |
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| ---------------- | -------------------------------- |
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| **Category** | Numeric |
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| **Inputs** | Source (close) |
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| **Parameters** | None |
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| **Outputs** | Single series (EXPTRANS) |
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| **Output range** | Varies (see docs) |
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| **Warmup** | `0` bars |
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### TL;DR
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- The Exponential (EXP) transformer applies the natural exponential function $e^x$ to each value in a time series.
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- No configurable parameters; computation is stateless per bar.
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- Output range: Varies (see docs).
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- Requires `0` bars of warmup before first valid output (IsHot = true).
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- Validated against TA-Lib, Skender, and Tulip reference implementations where available.
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> "The exponential function is the only function that is its own derivative—a mathematical curiosity that makes it indispensable for modeling growth, decay, and everything compounding."
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The Exponential (EXP) transformer applies the natural exponential function $e^x$ to each value in a time series. As the inverse of the natural logarithm, it converts additive relationships back to multiplicative ones, making it essential for reconstructing price levels from log-returns and implementing models that assume log-normal distributions.
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