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Published equation contexts

P(λ∣observed)  ∝  P(λ)×nobs(λ)P(\lambda \mid \text{observed}) \;\propto\; P(\lambda) \times n_{\text{obs}}(\lambda)

Why this formula appears here

Done correctly, the weak principle is pure statistics: it is a conditioning operation, identical in structure to correcting a biased sample in any other empirical science. A concrete instrument in this article’s own world makes the logic exact rather than analogical. A magneto-optical trap holds a cloud of atoms by continuously discarding the ones moving too fast to be captured by the cooling beams; every atom visible in the trap already survived a velocity cut. Someone who measured only the trapped cloud and concluded “the atoms in this room are unusually cold” would be committing exactly Eddington’s error — the room is not unusually cold, the trap is unusually selective, and the correction…

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PP

Symbol P

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λ\lambda

Symbol λ

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nobsn_{\text{obs}}

Symbol n_obs

non_obs is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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Published contexts (1)

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P(λ∣observed)  ∝  P(λ)×nobs(λ)P(\lambda \mid \text{observed}) \;\propto\; P(\lambda) \times n_{\text{obs}}(\lambda)

Equation 2 · Evolutionary Physics

Fine-Tuning Without a Tuner: Selection Effects in Physics

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

Done correctly, the weak principle is pure statistics: it is a conditioning operation, identical in structure to correcting a biased sample in any other empirical science. A concrete instrument in this article’s own world makes the logic exact rather than analogical. A magneto-optical trap holds a cloud of atoms by continuously discarding the ones moving too fast to be captured by the cooling beams; every atom visible in the trap already survived a velocity cut. Someone who measured only the trapped cloud and concluded “the atoms in this room are unusually cold” would be committing exactly Eddington’s error — the room is not unusually cold, the trap is unusually selective, and the correction…

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