Equation 1 · Part 5 · What Independent Evidence Actually Supports About Grok's Capabilities

Symbol s_i

I = \sum_{i=1}^{n} w_i \, s_i, \qquad \sum_{i=1}^{n} w_i = 1,

s_i

What this part means

a model’s normalized score on component benchmark i and each $w_i$ is a weight chosen by whoever maintains the index.

Its job in the formula

$s_i$ is an input to the expression that computes the quantity on the left.

Full expressionSymbol s_iArticle meaning

Where the article explains it

where each $s_i$ is a model’s normalized score on component benchmark i and each $w_i$ is a weight chosen by whoever maintains the index.

The passage around this formula

…“Intelligence Index” built from nine separate evaluations, including Humanity’s Last Exam and GPQA Diamond among others [ 8 ] . A composite index of this kind is, formally, a weighted sum $I = \sum_{i=1}^{n} w_i \, s_i, \qquad \sum_{i=1}^{n} w_i = 1$ . where each $s_i$ is a model’s normalized score on component benchmark i and each $w_i$ 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…

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the surrounding passage

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