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Equation 6 · Part 1 · How xAI's Infrastructure Build Compares to the Rest of the Field

Symbol P^*

P∗P^*
P∗P^*

What this part means

P∗P^* is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

P∗P^* is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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

An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.

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