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Equation 1 · Part 4 · What a Biosignature Has to Rule Out

subtraction

Φ=G(nobs)−G(neq).\Phi = G(\mathbf{n}_{\mathrm{obs}}) - G(\mathbf{n}_{\mathrm{eq}}).
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

If no gas can be trusted individually, the natural move is to look for a property of the whole atmosphere. The most general candidate is thermodynamic disequilibrium: life is a persistent chemical engine, so a biosphere should hold its planet’s atmosphere away from the composition it would relax to if all permitted reactions ran to completion. The quantity is the available Gibbs energy — the difference between the free energy of the observed composition and that of its equilibrium state at the same elemental abundances, temperature and pressure: Φ=G(nobs)−G(neq)\Phi = G(\mathbf{n}_{\mathrm{obs}}) - G(\mathbf{n}_{\mathrm{eq}}). Krissansen-Totton, Olson and Catling computed this across Earth history and reported values that make the appeal obvious and…

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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 surrounding passage

These citations provide research context; check each source for the exact claim it supports.