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Equation 6 · Part 7 · A History of Llama and the Open-Weight AI Movement

addition

Ptotal≈Pshared+E⋅PexpertP_{\mathrm{total}} \approx P_{\mathrm{shared}} + E \cdot P_{\mathrm{expert}}
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

where PsharedP_{\mathrm{shared}} is the always-active shared-expert capacity, PexpertP_{\mathrm{expert}} is the parameter count of one routed expert, and k is the number of routed experts activated per token. Total capacity scales with the number of experts E available to the router, roughly PtotalP_{\mathrm{total}} ≈\approx PsharedP_{\mathrm{shared}} + E ⋅\cdot PexpertP_{\mathrm{expert}} , while inference compute scales with PactiveP_{\mathrm{active}} , not PtotalP_{\mathrm{total}} . This is the exact mechanism behind Meta’s headline figures: Maverick’s 400 billion total parameters and 17 billion active parameters are not two different measurements of the same quantity, they are PtotalP_{\mathrm{total}} and PactiveP_{\mathrm{active}} under a router…

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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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Sources cited in the article section

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