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Equation 1 · Part 2 · 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 appears in the bound of this sum. The bound states where the repeated operation starts, ends, or which values it includes.

Its job in the formula

i appears in the bound of this sum. The bound states where the repeated operation starts, ends, or which values it includes.

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

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