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Equation 1 · Part 6 · Ten Failure Modes That Show Up Across Every Frontier Model, Not Just One

addition

sobserved=scapability+Δcontamination+Δconfigurations_{\text{observed}} = s_{\text{capability}} + \Delta_{\text{contamination}} + \Delta_{\text{configuration}}
addition

What this part means

Add the term after the plus sign to the term or group before it.

Its job in the formula

Add the term after the plus sign to the term or group before it.

The passage around this formula

One assumption threads through everything that follows, and it is worth making explicit before the catalogue starts. A published benchmark score is not a direct read of capability; it is a sum of capability plus at least two other things that vary independently of it: sobserved=scapability+Δcontamination+Δconfigurations_{\text{observed}} = s_{\text{capability}} + \Delta_{\text{contamination}} + \Delta_{\text{configuration}}. Δcontamination\Delta_{\text{contamination}} is inflation from the model having seen the benchmark, or something close to it, during training. Δconfiguration\Delta_{\text{configuration}} is variance from everything about how the question was asked, formatted, and scored — prompt wording, decoding settings, which variant answered. Both terms are provider-specific and time-specific; neither is disclosed by the headline number. Three of…

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Learn the underlying idea

Addition combines quantities; subtraction measures the signed difference between them. Parentheses show what is combined before the rest of the expression is evaluated.

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