← Back to article

Equation 7 · How Llama's Architecture Actually Works, Generation by Generation

What does this equation mean?

mθim\theta_i

Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

Read it piece by piece

mm

Symbol m

a position index.

Understand this part →

θi\theta_i

Symbol theta_i

thetaia_i is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Understand this part →

subscript

subscript

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

Understand this part →

How to interpret it

Read this expression with the definitions, units, and assumptions supplied by the article.

What the article says around this equation

and a vector at sequence position m has its i -th pair rotated by angle mθi\theta_i :

Read the equation in its article →

Sources cited in the article section

These citations give research context. Read each source to check which claims it supports.

Return to How Llama's Architecture Actually Works, Generation by Generation

See this formula across 1 published context →

Browse the mathematical compendium →