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Equation 1 · Part 4 · Materials Discovery Is Becoming a Breeding Program: Selection, Synthesis, and the GNoME Dispute

subtraction

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})
subtraction

What this part means

Subtract the following term or group from the preceding one. A leading minus marks a negative quantity.

Its job in the formula

Subtract the following term or group from the preceding one. A leading minus marks a negative quantity.

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

Addition combines quantities; subtraction measures the signed difference between them. Parentheses show what is combined before the rest of the expression is evaluated.

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Sources cited in the article section

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