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Equation 2 · Part 7 · Cosmological Natural Selection: A Theory That Named Its Own Killer

subscript

ΔS(ϕ)=−2r ln⁡ ⁣[1−ssin⁡ϕ]\Delta_S(\phi) = -2r\,\ln\!\left[1 - s\sin\phi\right]
subscript

What this part means

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.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

The passage around this formula

The way you weigh a neutron star from a radio telescope, with no direct access to the star at all, is to time its pulses with enough precision to catch general relativity bending them. In a binary system seen close to edge-on, radio pulses from the neutron star are delayed by a few extra microseconds each orbit as they pass close to the companion star, because the companion’s gravity curves the spacetime the pulse crosses. The delay as a function of orbital phase ϕ\phi is standardly written ΔS(ϕ)=−2r ln⁡ ⁣[1−ssin⁡ϕ]\Delta_S(\phi) = -2r\,\ln\!\left[1 - s\sin\phi\right]. where the “range” parameter r is set directly by the companion’s mass and the “shape” parameter s by the orbit’s inclination. Because r and s are measured independently of the pulsar’s…

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

Open the illustrated subscripts: which member of a family? guide →

Sources cited in the article section

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