Symbol in context

$g$

This entry links every published equation using this exact notation. Its meaning may change between equations.

Meanings in context

Article-grounded definition

Symbol g

in bit-transitions and h in active human minutes.

Read equation 29 in AI Feeds on the Distance Between an Intention and an Outcome →

Article-grounded definition

Symbol g

the observer under constant proper acceleration.

Read equation 70 in The Bend an Elevator Cannot Fake →

Article-grounded definition

Symbol g

the covariance sends.

Read equation 59 in A Reference Frame Becomes Classical by Publishing Its Orientation →

Article-grounded definition

Symbol g

standard gravity.

Read equation 1 in Flight at the Energy Floor: Transport Selection to 2100 →

Article-grounded definition

Symbol g

the task goal.

Read equation 1 in Comparing the Main Approaches to AI Agent Architecture →

Article-grounded definition

Symbol g

the task objective.

Read equation 4 in Reliable AI Agents Are Control Systems, Not Chatbots →

Used in 94 equations

d_i^{(m_2)} \approx \sum_{j=1}^{m_1} g_j\, d_j^{(m_1)}, \qquad \lVert g \rVert_0 \ll m_1, \quad m_1 < m_2,

The Hardest Unsolved Problems in Mechanistic Interpretability · Equation 5

This equation gives an approximation: it relates the quantities while allowing an approximation.

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g

The Hardest Unsolved Problems in Mechanistic Interpretability · Equation 6

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

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g

What Changes When a Whole Team Adopts Claude Code, Not Just One Developer · Equation 3

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

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(1-p) + p/g

What Changes When a Whole Team Adopts Claude Code, Not Just One Developer · Equation 4

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

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S(g) = \frac{1}{(1-p) + p/g}, \qquad \lim_{g \to \infty} S(g) = \frac{1}{1-p}.

What Changes When a Whole Team Adopts Claude Code, Not Just One Developer · Equation 5

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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g

What Changes When a Whole Team Adopts Claude Code, Not Just One Developer · Equation 6

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

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g

A Timeline of xAI, Grok, and Colossus · Equation 2

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

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(1+g)^{92} = 2

A Timeline of xAI, Grok, and Colossus · Equation 3

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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g = 2^{1/92} - 1 \approx 0.0076,

A Timeline of xAI, Grok, and Colossus · Equation 4

This equation gives an approximation: it relates the quantities while allowing an approximation.

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a^* = \arg\min_{a \in \mathcal{A}} \ \mathcal{L}_{\text{val}}\big(w^*(a),\, a\big) \quad \text{subject to} \quad g(a) \le B, \qquad w^*(a) = \arg\min_{w} \ \mathcal{L}_{\text{train}}(w, a)

Shrink It, Train It Small, or Search for It: The Main Strategies for Small Models, Compared · Equation 19

This equation states a bound: one expression must stay on the indicated side of the other under the article’s assumptions.

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g(a)

Shrink It, Train It Small, or Search for It: The Main Strategies for Small Models, Compared · Equation 21

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

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g

Shrink It, Train It Small, or Search for It: The Main Strategies for Small Models, Compared · Equation 24

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

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g(a)

Shrink It, Train It Small, or Search for It: The Main Strategies for Small Models, Compared · Equation 25

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

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W' = \operatorname*{arg\,min}_{\|W'\|_0 \le k} \|WX - W'X\|_2^2

How a Model Actually Gets Small Enough to Run on a Phone · Equation 18

This equation states a bound: one expression must stay on the indicated side of the other under the article’s assumptions.

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a_t \sim \pi_\theta(a \mid o_{\le t},\ h_t,\ g),

Comparing the Main Approaches to AI Agent Architecture · Equation 1

This equation states a bound: one expression must stay on the indicated side of the other under the article’s assumptions.

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g

Comparing the Main Approaches to AI Agent Architecture · Equation 4

the task goal.

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P = \pi_{\text{plan}}(o_0,\ g), \qquad a_t = \pi_{\text{exec}}(P,\ o_t).

Comparing the Main Approaches to AI Agent Architecture · Equation 6

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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g^{(i)} \sim \pi_{\text{super}}(g \mid \text{task}), \qquad a_t^{(i)} \sim \pi_{\text{worker}}^{(i)}\bigl(a \mid o_{\le t}^{(i)},\ h_t^{(i)},\ g^{(i)}\bigr).

Comparing the Main Approaches to AI Agent Architecture · Equation 8

This equation states a bound: one expression must stay on the indicated side of the other under the article’s assumptions.

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g

The Frontier Model Landscape in 2035: Four Scenarios, Their Signals, and What Would Falsify Them · Equation 4

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

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s = g(\theta,\; H,\; e,\; \tau,\; \phi)

OpenAI and Claude on Agentic Coding: What the Independent Evidence Actually Shows · Equation 1

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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s = g(\theta, \mathcal{H}, T, k, \mathcal{P}, t) + \varepsilon,

How to Actually Compare Frontier AI Models Without Building a Misleading Leaderboard · Equation 3

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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m_x g = I_1 B l \qquad\text{and}\qquad U_2 = v B l

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.

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m_x g v = I_1 U_2

The Last Artefact: Redefining the Kilogram · Equation 3

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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V(s_T,g)

Why Coding Agents Fail: Long-Horizon Reliability in OpenAI Codex · Equation 5

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

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g

Why Coding Agents Fail: Long-Horizon Reliability in OpenAI Codex · Equation 6

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

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R=\mathbb{E}_{g\sim D}\mathbb{E}_{\tau\sim P(\tau\mid g)} \left[V(s_T,g)\right].

Why Coding Agents Fail: Long-Horizon Reliability in OpenAI Codex · Equation 8

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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A_{\mathrm{excess}}=A_g\setminus A_u(g,s),

Ten Failure Modes in Agentic Coding, from Prompt Injection to False Completion · Equation 10

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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g

Ten Failure Modes in Agentic Coding, from Prompt Injection to False Completion · Equation 11

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

Equation guide → · This term → · Article →

g

OpenAI Codex as a Software-Engineering System: Models, Harnesses, and Evidence · Equation 12

the task goal.

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a_k \sim \pi_{\theta}(a\mid o_{\le k},g,h_k).

OpenAI Codex as a Software-Engineering System: Models, Harnesses, and Evidence · Equation 14

This equation states a bound: one expression must stay on the indicated side of the other under the article’s assumptions.

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ggg

Meanings in context

Symbol g

Symbol g

Symbol g

Symbol g

Symbol g

Symbol g

Used in 94 equations

$g$