Equation 7 · Part 1 · How xAI's Infrastructure Build Compares to the Rest of the Field

Symbol s

s \cdot (T_{\text{grid}} - T_{\text{site}}) > \Delta C

s

What this part means

the value the firm places on each unit of time saved reaching $P^*$ sooner.

Its job in the formula

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

Full expressionSymbol sArticle meaning

Where the article explains it

Let s be the value the firm places on each unit of time saved reaching $P^*$ sooner.

The passage around this formula

…by generating on site in the shorter time $T_{\text{site}}$ , at an extra cost $\Delta$ 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 $P^*$ sooner. A firm behaves as though it believes $s \cdot (T_{\text{grid}} - T_{\text{site}}) > \Delta C$ . whenever it takes the faster, costlier, more legally exposed route over the slower, cheaper, better-permitted one. The model does not say what s should be; it…

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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