Equation 3 · A Timeline of xAI, Grok, and Colossus
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
Read it piece by piece
Symbol g
g is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.
=
The expressions on both sides represent the same quantity under the stated assumptions.
See an illustrated explanation →superscript
A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.
See an illustrated explanation →How to interpret it
Read it with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
Read instead as a constant compounding rate — the assumption implicit whenever a “doubled again” claim is extrapolated forward — the same ninety-two-day doubling implies a daily multiplicative growth rate g solving (1+g)^{92} = 2 , or
Sources cited in the article section
- [16] xAI's AI Factories: From Colossus to MACROHARDRR in the Gigawatt Era ↗
- [10] xAI raises $6B Series C ↗
- [17] xAI's Colossus 2 - First Gigawatt Datacenter In The World, Unique RL Methodology, Capital Raise ↗
- [11] xAI Raises $20B Series E ↗
These citations give research context. Read each source to check which claims it supports.
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