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Equation 1 · Part 2 · Materials Discovery Is Becoming a Breeding Program: Selection, Synthesis, and the GNoME Dispute

=

P(deployed)=P(stable)×P(synthesizable∣stable)×P(scalable∣synthesizable)×P(supply-chain viable∣scalable)P(\text{deployed}) = P(\text{stable}) \times P(\text{synthesizable} \mid \text{stable}) \times P(\text{scalable} \mid \text{synthesizable}) \times P(\text{supply-chain viable} \mid \text{scalable})
=

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

The evolutionary framing does real analytic work once the pipeline above is treated as a selection funnel rather than a single machine. A useful way to write down what a candidate has to survive to become a deployed material is a chain of conditional probabilities, each stage filtering out most of what entered it: P(deployed)=P(stable)×P(synthesizable∣stable)×P(scalable∣synthesizable)×P(supply-chain viable∣scalable)P(\text{deployed}) = P(\text{stable}) \times P(\text{synthesizable} \mid \text{stable}) \times P(\text{scalable} \mid \text{synthesizable}) \times P(\text{supply-chain viable} \mid \text{scalable}). GNoME and MatterGen attack only the first term, and the 2023-2024 dispute is essentially an argument about whether even that first term was measured honestly. But the more interesting evolutionary claim in this article’s premise is what happens to the later terms once the first one becomes cheap to compute at scale: selection pressure does not disappear, it…

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

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Sources cited in the article section

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