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Equation 1 · Part 7 · Comparing the Main Approaches to AI for Science and Medicine

Starting index or lower bound: s

N^hits  ≈  ∑sh(s) N(s)\hat{N}_{\text{hits}} \;\approx\; \sum_{s} h(s)\, N(s)
ss

What this part means

This label says where the repeated addition, multiplication, or accumulation starts. Read its value or condition together with the article’s description of the index.

Its job in the formula

s appears in the bound of this sum. The bound states where the repeated operation starts, ends, or which values it includes.

The passage around this formula

…the authors extrapolate a library-wide estimate rather than test everything directly: N^hits  ≈  ∑sh(s) N(s)\hat{N}_{\text{hits}} \;\approx\; \sum_{s} h(s)\, N(s). where h(s) is the hit rate measured directly among compounds actually synthesized and tested at docking-score bin s , and N(s) is the number of untested library members scored into that bin. Applying this to the D4 results produced an estimate of roughly 453,000 ligands across the full 138-million-compound library — a projection under an assumed score-to-hit-rate relationship, not a directly counted total.…

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Learn the underlying idea

Σ adds a collection of terms. Π multiplies them. The lower and upper labels tell you which terms belong to the collection.

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Sources cited in the surrounding passage

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