Symbol in context

$T$

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

Meanings in context

Article-grounded definition

Symbol T

the associated Killing time.

Read equation 27 in How Fast Can a Horizon Learn Which Path You Took? →

Article-grounded definition

Symbol T

the bath temperature [ 1 ].

Read equation 5 in How Stochastic Thermodynamics and Complex Systems Actually Work →

Article-grounded definition

Symbol T

the bath temperature.

Read equation 1 in From Origins to Frontier: A History of Stochastic Thermodynamics and Complex Systems →

Article-grounded definition

Symbol T

the assumed doubling period.

Read equation 3 in AI Datacenter Interconnects in 2035: Scenarios, Signals, and Falsifiable Predictions →

Article-grounded definition

Symbol T

the assumed doubling period: [displayed formula].

Read equation 4 in AI Datacenter Interconnects in 2035: Scenarios, Signals, and Falsifiable Predictions →

Article-grounded definition

Symbol T

the absolute temperature.

Read equation 7 in Einstein's Random Walk and the Mathematics of Genetic Drift →

Article-grounded definition

Symbol T

the temperature.

Read equation 1 in The Arrow of Time and the Engine of Evolution →

Article-grounded definition

Symbol T

the time-horizon at date t.

Read equation 8 in Measuring Claude Code and Agentic Development Tools: Evidence, Benchmarks, and Uncertainty →

Article-grounded definition

Symbol T

the temperature that softens the distribution.

Read equation 1 in Shrink It, Train It Small, or Search for It: The Main Strategies for Small Models, Compared →

Article-grounded definition

Symbol T

tuned as a hyperparameter [ 1 ].

Read equation 7 in How a Model Actually Gets Small Enough to Run on a Phone →

Article-grounded definition

Symbol T

accumulated transmittance along the ray up to t.

Read equation 13 in How Multimodal Models Actually Handle Video, Audio, and Space →

Article-grounded definition

Symbol T

the when.

Read equation 1 in The Hardest Unsolved Problems in AI Agent Architecture →

Article-grounded definition

Symbol T

the environment’s transition model.

Read equation 7 in The Hardest Unsolved Problems in AI Agent Architecture →

Article-grounded definition

Symbol T

the sampling temperature.

Read equation 3 in How to Actually Compare Frontier AI Models Without Building a Misleading Leaderboard →

Used in 146 equations

\nabla_\theta J(\theta) = \mathbb{E}_\pi\!\left[\sum_{t=0}^{T} \nabla_\theta \log \pi_\theta(a_t \mid s_t) \left(\sum_{t' \ge t} r_{t'}\right)\right].

The Hardest Unsolved Problems in 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.

Equation guide → · This term → · Article →

T

The Hardest Unsolved Problems in AI Agent Architecture · Equation 2

the when.

Equation guide → · This term → · Article →

T

The Hardest Unsolved Problems in AI Agent Architecture · Equation 3

the when.

Equation guide → · This term → · Article →

T

The Hardest Unsolved Problems in AI Agent Architecture · Equation 7

the environment’s transition model.

Equation guide → · This term → · Article →

b'(s') = \eta \, O(o \mid s', a) \sum_{s} T(s' \mid s, a)\, b(s),

The Hardest Unsolved Problems in AI Agent Architecture · Equation 9

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

Equation guide → · This term → · Article →

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.

Equation guide → · This term → · Article →

T

How to Actually Compare Frontier AI Models Without Building a Misleading Leaderboard · Equation 6

the sampling temperature.

Equation guide → · This term → · Article →

T(r)

The Logistics Tail: Sustainment as the Binding Constraint on Organised Force · Equation 11

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

Equation guide → · This term → · Article →

\frac{dS}{dt} = T(r) - C, \qquad T(r_c) = C .

The Logistics Tail: Sustainment as the Binding Constraint on Organised Force · Equation 13

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

Equation guide → · This term → · Article →

T(r)

The Logistics Tail: Sustainment as the Binding Constraint on Organised Force · Equation 16

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

Equation guide → · This term → · Article →

T(n,p) = \alpha\,L(p) + \beta\,W(n,p) + \gamma\,C(n,p),

The Network Is the Computer Again · Equation 9

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

Equation guide → · This term → · Article →

\xi \sim |t|^{-\nu}, \qquad t = \frac{T - T_{\mathrm{c}}}{T_{\mathrm{c}}}

More Is Different: Emergence and Phase Transitions · 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 →

\Delta G^{\circ} = -RT\ln K,

Lowering the Barrier: What a Catalyst Actually Does · 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 →

k = A\exp\left(-\frac{E_{\mathrm a}}{RT}\right),

Lowering the Barrier: What a Catalyst Actually Does · 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 →

k = \kappa\,\frac{k_{\mathrm B}T}{h}\exp\left(-\frac{\Delta G^{\ddagger}}{RT}\right),

Lowering the Barrier: What a Catalyst Actually Does · 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 →

p(x) = \frac{e^{-\beta F(x)}}{\displaystyle\int e^{-\beta F(x')}\,dx'}, \qquad \beta = \frac{1}{k_{\mathrm B}T},

Structure from Sequence: What Protein Folding Prediction Did and Did Not Settle · Equation 12

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

Equation guide → · This term → · Article →

P(w_1, w_2, \ldots, w_T) = \prod_{t=1}^{T} P(w_t \mid w_1, \ldots, w_{t-1}).

From n-Grams to Reasoning Models: A Technical History of the Language Model · 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 →

T

Error Correction Is the Whole Problem in Quantum Computing · Equation 36

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

Equation guide → · This term → · Article →

T

Error Correction Is the Whole Problem in Quantum Computing · Equation 37

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

Equation guide → · This term → · Article →

p(x_{1:T})=\prod_{t=1}^{T}p(x_t\mid x_{<t}).

From Autocomplete to Delegation: The Technical History Behind OpenAI Codex · 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 →

T

Codex vs Claude Code: A Systems Comparison, Not a Benchmark Beauty Contest · Equation 5

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

Equation guide → · This term → · Article →

T

The Statistical Mechanics of Irreversibility at Molecular Scale · Equation 1

the temperature.

Equation guide → · This term → · Article →

\left\langle e^{-\beta W}\right\rangle = e^{-\beta\Delta F}, \qquad \beta = \frac{1}{k_{\mathrm B}T}.

The Statistical Mechanics of Irreversibility at Molecular Scale · Equation 13

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

Equation guide → · This term → · Article →

Q_{\min} = k_{\mathrm B}T\ln 2

The Statistical Mechanics of Irreversibility at Molecular Scale · Equation 23

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

Equation guide → · This term → · Article →

k_{\mathrm B}T\ln2

The Statistical Mechanics of Irreversibility at Molecular Scale · Equation 24

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

Equation guide → · This term → · Article →

k_{\mathrm B}T\ln2

The Statistical Mechanics of Irreversibility at Molecular Scale · Equation 25

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

Equation guide → · This term → · Article →

TTT

Meanings in context

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Used in 146 equations

$T$