Equation 3 · Part 2 · A Timeline of xAI, Grok, and Colossus
=
=
What this part means
The expressions on both sides represent the same quantity under the stated assumptions.
Its job in the formula
The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.
Full expression→=→Article meaning
The passage around this formula
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
Learn the underlying idea
An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.
Open the illustrated equality: what the equals sign claims guide →
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 provide research context; check each source for the exact claim it supports.