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Equation 4 · Part 2 · How xAI's Infrastructure Build Compares to the Rest of the Field

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ΔC\Delta C
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What this part means

Capital delta attached to a quantity marks a difference between two values of that quantity; the article’s sign convention determines the order.

Its job in the formula

Capital delta attached to a quantity marks a difference between two values of that quantity; the article’s sign convention determines the order.

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

Addition combines quantities; subtraction measures the signed difference between them. Parentheses show what is combined before the rest of the expression is evaluated.

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