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Equation 13 · Radioactive Clocks: How Nuclear Physics Gave Evolution Its Time

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R0R_0

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the shared initial ratio recovered as the line’s intercept. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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R0R_0

Symbol R_0

the shared initial ratio recovered as the line’s intercept.

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subscript

subscript

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

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where RtR_t is each mineral’s measured present-day strontium-87 to strontium-86 ratio, R0R_0 is the shared initial ratio recovered as the line’s intercept, and N87N_{87}/N86N_{86} is each mineral’s measured rubidium-87 to strontium-86 ratio [ 18 ] . The initial composition is no longer an assumption fed into the calculation; it is an output the data themselves supply, and a poor fit to a straight line is itself a warning that the minerals did not, in fact, share a common origin or have remained closed systems since.

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