Equation 4 · 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 . about 0.76% per day. The two models diverge sharply once projected beyond the period they were actually measured over, and neither xAI’s announcements nor most press coverage specifies which one a given “doubling” claim is meant to imply. That ambiguity is worth naming explicitly rather than silently resolving in whichever direction makes the number more dramatic.
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.