September 11, 2026

Contextual Priming: Shaping Trajectories In AI/LLM Search Spaces

“Diamond.”   In a previous post here I mentioned how SEOs were the attention mechanism before the modern day transformer attention mechanism – guiding and shaping […]
August 29, 2026

Into The Looking Glass: On Projections In AI/LLM Search Spaces

“Shadows in ghosts.”   A few weeks ago here I wrote about how AI/LLM search responses can resemble our traditional search foundations – “Markovian ghosts“, so […]
August 22, 2026

Into The Infinite: Hilbert Spaces & AI/LLM Search Spaces

An archer smoothly picks up his arrow, bow in hand.   He slots the arrow in place and confidently pulls it back into position.   Taking […]
August 15, 2026

Building Anticipation: Markov Chains & AI/LLM Search Spaces

“To aim at.”   If you look at the etymology (word origin) of the word “stochastic” you will find many interpretations and among them you’ll find […]
July 25, 2026

Hidden North Stars: On Eigenvalues & Eigenvectors

“Read between the lines.”   “In an ever changing world/landscape.”   “In a nutshell..”   Clichés.   Being exposed to a term or phrase so much […]
July 17, 2026

On Walks: A (Brief) Graph Theory Primer For SEOs & AI/LLM Spaces

Walks.   A starting point, a destination — and a path connecting the two.   Every story has a beginning, middle and end and a walk […]
July 11, 2026

The Mathematical Basis: Constraining Responses In Search & AI/LLM Spaces

“Finding a basis”.   “Looking for a basis.”   “What is the basis for this argument?”   “Is this cash basis or accrual?”   “Basis” is […]
June 19, 2026

All Search Is Local Search: Positioning, Context & Measurement

Location, location, location.   I mentioned in my opening post on this site how I’ve spent a large majority of my time working with small businesses […]
June 12, 2026

Decoding The Decoder: Search, Encapsulated & Associative vs Addressable Memory In AI/LLM Spaces

Input. Output.   A wild simplification to any system or function is that it’s a “box” of sorts that take in an input, performs some kind […]
June 6, 2026

Everything Is A Math Wrapper, Part IV: Inner Products And The Geometry Of Similarity For SEOs & AI/LLM Search Spaces

The past few weeks I’ve covered quite a few areas of mathematics and how they connect with and relate to AI/LLM search spaces, so I want […]
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