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Equation 7 · Part 2 · How xAI's Infrastructure Build Compares to the Rest of the Field

Symbol T_grid

s⋅(Tgrid−Tsite)>ΔCs \cdot (T_{\text{grid}} - T_{\text{site}}) > \Delta C
TgridT_{\text{grid}}

What this part means

the taking time.

Its job in the formula

TgT_grid is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Where the article explains it

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.

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…

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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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