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Equation 1 · Part 1 · What Independent Evidence Actually Supports About Grok's Capabilities

Symbol I

I=∑i=1nwi si,∑i=1nwi=1,I = \sum_{i=1}^{n} w_i \, s_i, \qquad \sum_{i=1}^{n} w_i = 1,
II

What this part means

I is part of the quantity the equation computes from the expression on the right.

Its job in the formula

I is part of the quantity the equation computes from the expression on the right.

The passage around this formula

…including Humanity’s Last Exam and GPQA Diamond among others [ 8 ] . A composite index of this kind is, formally, a weighted sum I=∑i=1nwi si,∑i=1nwi=1I = \sum_{i=1}^{n} w_i \, s_i, \qquad \sum_{i=1}^{n} w_i = 1. where each sis_i is a model’s normalized score on component benchmark i and each wiw_i is a weight chosen by whoever maintains the index. That weight vector is an editorial decision, not a discovered fact, and two indices built from different component sets or different weights are measuring different constructs even when both are called “intelligence.” This is why…

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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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Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.