Article-grounded definition
Symbol B
the batch size.
Symbol in context
This entry links every published equation using this exact notation. Its meaning may change between equations.
Meanings in context
Article-grounded definition
Symbol B
the when.
Read equation 8 in The Peacock Problem: Darwin's Second Theory and Its Hard Tests →
Article-grounded definition
Symbol B
the fixed context budget.
Article-grounded definition
Symbol B
modeled as a logistic function of the difference between two scalar ratings.
Read equation 5 in From Origins to Frontier: A History of Frontier AI Model Comparisons →
Article-grounded definition
Symbol B
modeled as a logistic function of the difference between two scalar ratings: [displayed formula].
Read equation 6 in From Origins to Frontier: A History of Frontier AI Model Comparisons →
Article-grounded definition
Symbol B
the only.
Read equation 2 in Actually Deploying an Open-Weight Model in Production →
Article-grounded definition
Symbol B
the budget the target device imposes.
Article-grounded definition
Symbol B
a risk budget set by policy.
Article-grounded definition
Symbol B
the field.
Read equation 2 in What a Particle Detector Actually Measures →
Article-grounded definition
Symbol B
the achievable memory bandwidth and I the operational intensity of the kernel.
Read equation 1 in The Deployment Envelope: Small Models Where the Power Is Not →
Article-grounded definition
Symbol B
the achievable bandwidth at the level that dominates.
Article-grounded definition
Symbol B
the inference and retry budget.
Read equation 45 in OpenAI Codex as a Software-Engineering System: Models, Harnesses, and Evidence →
Used in 93 equations
AI Agent Architecture in 2035: Four Scenarios, Their Signals, and What Would Falsify Them · Equation 5
This equation states a bound: one expression must stay on the indicated side of the other under the article’s assumptions.
Equation guide → · This term → · Article →The Frontier Model Landscape in 2035: Four Scenarios, Their Signals, and What Would Falsify Them · Equation 6
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.
Equation guide → · This term → · Article →The Frontier Model Landscape in 2035: Four Scenarios, Their Signals, and What Would Falsify Them · Equation 7
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.
Equation guide → · This term → · Article →How Verification Actually Works in a Claude Code Workflow · Equation 3
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.
Equation guide → · This term → · Article →Water Before Demography · Equation 1
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.
Equation guide → · This term → · Article →What a Proof Assistant Changes · Equation 1
This equation states a bound: one expression must stay on the indicated side of the other under the article’s assumptions.
Equation guide → · This term → · Article →The Last Artefact: Redefining the Kilogram · Equation 2
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.
Equation guide → · This term → · Article →What a Particle Detector Actually Measures · Equation 1
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.
Equation guide → · This term → · Article →What a Particle Detector Actually Measures · Equation 2
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.
Equation guide → · This term → · Article →The Deployment Envelope: Small Models Where the Power Is Not · Equation 1
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.
Equation guide → · This term → · Article →The Deployment Envelope: Small Models Where the Power Is Not · Equation 3
the achievable memory bandwidth and I the operational intensity of the kernel.
Equation guide → · This term → · Article →The Deployment Envelope: Small Models Where the Power Is Not · Equation 7
the achievable memory bandwidth and I the operational intensity of the kernel.
Equation guide → · This term → · Article →The Deployment Envelope: Small Models Where the Power Is Not · Equation 8
This equation states a bound: one expression must stay on the indicated side of the other under the article’s assumptions.
Equation guide → · This term → · Article →One Model, Many Modalities: What Multimodal Systems Actually Share · Equation 5
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.
Equation guide → · This term → · Article →One Model, Many Modalities: What Multimodal Systems Actually Share · Equation 6
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.
Equation guide → · This term → · Article →Locality Is the Whole Game: The Memory Hierarchy and What a Kernel Does Not Read · Equation 2
This equation states a bound: one expression must stay on the indicated side of the other under the article’s assumptions.
Equation guide → · This term → · Article →Locality Is the Whole Game: The Memory Hierarchy and What a Kernel Does Not Read · Equation 5
the achievable bandwidth at the level that dominates.
Equation guide → · This term → · Article →Locality Is the Whole Game: The Memory Hierarchy and What a Kernel Does Not Read · Equation 6
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.
Equation guide → · This term → · Article →Locality Is the Whole Game: The Memory Hierarchy and What a Kernel Does Not Read · Equation 8
the achievable bandwidth at the level that dominates.
Equation guide → · This term → · Article →The Physical Plant: Power, Cooling, and Networks in an AI Datacenter · Equation 17
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.
Equation guide → · This term → · Article →The Physical Plant: Power, Cooling, and Networks in an AI Datacenter · Equation 19
This equation gives an approximation: it relates the quantities while allowing an approximation.
Equation guide → · This term → · Article →The Physical Plant: Power, Cooling, and Networks in an AI Datacenter · Equation 20
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.
Equation guide → · This term → · Article →Model Systems in 2035: Four Scenarios, Their Signals, and What Would Falsify Them · Equation 2
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.
Equation guide → · This term → · Article →Model Systems in 2035: Four Scenarios, Their Signals, and What Would Falsify Them · Equation 3
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.
Equation guide → · This term → · Article →Model Systems in 2035: Four Scenarios, Their Signals, and What Would Falsify Them · Equation 8
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.
Equation guide → · This term → · Article →The Physical Economics of Inference: Bandwidth, Energy, and the Limits of a Datacenter · Equation 7
This equation gives an approximation: it relates the quantities while allowing an approximation.
Equation guide → · This term → · Article →The Physical Economics of Inference: Bandwidth, Energy, and the Limits of a Datacenter · Equation 8
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.
Equation guide → · This term → · Article →The Physical Economics of Inference: Bandwidth, Energy, and the Limits of a Datacenter · Equation 12
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.
Equation guide → · This term → · Article →