← All parts of this equation

Equation 9 · Part 2 · Frontier AI Model Comparisons: A First-Principles Introduction

≥

δcontam≥0\delta_{\mathrm{contam}} \geq 0
≥

What this part means

Greater than or equal to.

Its job in the formula

Greater than or equal to.

The passage around this formula

where atruea_{\mathrm{true}} is the capability the benchmark intends to measure, δcontam\delta_{\mathrm{contam}} ≥\geq 0 is a one-directional inflation term from training-set overlap, and εconfig\varepsilon_{\mathrm{config}} is noise contributed by harness, prompt, effort level, and grading choices, which can push the observed score in either direction. Two systems’ sobss_{\mathrm{obs}} values can differ substantially even when their atruea_{\mathrm{true}} values are identical, and can appear equal even when their atruea_{\mathrm{true}} values are not, purely through the other two terms. Nothing about this requires bad faith on anyone’s part; it follows from the measurement being taken at all.

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Learn the underlying idea

An inequality compares values without claiming they are equal. It describes a range, threshold, or bound that a quantity may satisfy.

Open the illustrated inequalities: bounds and allowed ranges guide →

Sources cited in the article section

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