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Equation 3 · Part 2 · How xAI's Infrastructure Build Compares to the Rest of the Field

subscript

TsiteT_{\text{site}}
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

Model the choice as a simple trade. A firm can reach a target power capacity P∗P^* either by waiting for grid interconnection, taking time TgridT_{\text{grid}} , or by generating on site in the shorter time TsiteT_{\text{site}} , at an extra cost Δ\Delta C over grid power — fuel, turbine leasing, and the practical cost of operating ahead of a permit, including the risk of enforcement. Let s be the value the firm places on each unit of time saved reaching P∗P^* sooner. A firm behaves as though it believes

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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.

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