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Equation 39 · Part 4 · The Valley of Stability Is a Fitness Landscape

subtraction

(N−1,Z+1)(N-1,Z+1)
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

Each individual beta decay, then, is a single step along this fixed- A parabola: a discrete jump from one (N,Z) point to its immediate neighbor at (N-1,Z+1) or (N+1,Z-1) , taken because it lowers the mass and therefore raises binding energy per nucleon, with the released energy carried off by the emitted lepton and antineutrino or neutrino. A decay chain is a sequence of such steps, sometimes purely beta, more often threaded with alpha emissions that jump A downward by four and Z downward by two in a single move. Uranium-238’s decay chain to stable lead-206 is the standard worked example, and it takes fourteen recorded steps to complete: an alpha emission to thorium-234, a beta decay to…

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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

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