Symbol in context

$D$

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

Meanings in context

Article-grounded definition

Symbol D

the fraction of time spent actively computing.

Read equation 1 in Comparing the Main Approaches to Edge AI Electronics and Sensor Systems →

Article-grounded definition

Symbol D

the lift-to-drag ratio, and $W_1$ .

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

Article-grounded definition

Symbol D

the governed by a single constant.

Read equation 12 in Einstein's Random Walk and the Mathematics of Genetic Drift →

Article-grounded definition

Symbol D

a constant, fixed once by temperature and viscosity.

Read equation 20 in Einstein's Random Walk and the Mathematics of Genetic Drift →

Article-grounded definition

Symbol D

under one model than the other - not a correlation coefficient, not a subjective sense of resemblance, but a single number with a precise probabilistic meaning that can in principle come out favouring either model.

Read equation 1 in One Tree: The Statistics of Common Descent →

Article-grounded definition

Symbol D

its position on a deployment-outcome measure such as production task completion or retained enterprise share, and w(t) $\in$ [0,1] is the weight public comparison, procurement practice and press coverage place on the benchmark term.

Read equation 6 in The Frontier Model Landscape in 2035: Four Scenarios, Their Signals, and What Would Falsify Them →

Article-grounded definition

Symbol D

the number of training tokens, the factor of six accounting for the forward and backward pass together.

Read equation 1 in Claude, From First Principles: Training, Constitutional Methods, and What Actually Shapes a Response →

Article-grounded definition

Symbol D

the data and L the life hypothesis.

Read equation 2 in What a Biosignature Has to Rule Out →

Article-grounded definition

Symbol D

the defect density.

Read equation 15 in Patterning at the Limit: What Actually Happens When a Chip Is Manufactured →

Article-grounded definition

Symbol D

the system reliability under task distribution.

Read equation 7 in Why Coding Agents Fail: Long-Horizon Reliability in OpenAI Codex →

Article-grounded definition

Symbol D

the task distribution.

Read equation 45 in OpenAI Codex as a Software-Engineering System: Models, Harnesses, and Evidence →

Used in 73 equations

D(T)=\frac12 \left\| |h_0\rangle\langle h_0|- |h_1\rangle\langle h_1| \right\|_1.

How Fast Can a Horizon Learn Which Path You Took? · Equation 8

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

Equation guide → · This term → · Article →

D(T)=\sqrt{1-V(T)^2}, \qquad V(T)^2+D(T)^2=1.

How Fast Can a Horizon Learn Which Path You Took? · 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 →

p_{\rm e}(T)=\frac{1-D(T)}{2} =\frac{1-\sqrt{1-V(T)^2}}{2}.

How Fast Can a Horizon Learn Which Path You Took? · Equation 10

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

Equation guide → · This term → · Article →

D=0

How Fast Can a Horizon Learn Which Path You Took? · Equation 25

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

Equation guide → · This term → · Article →

D

How Fast Can a Horizon Learn Which Path You Took? · Equation 50

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

Equation guide → · This term → · Article →

\bar{P} = D \cdot P_{\mathrm{active}} + (1-D) \cdot P_{\mathrm{standby}}

Comparing the Main Approaches to Edge AI Electronics and Sensor Systems · 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 →

D

Comparing the Main Approaches to Edge AI Electronics and Sensor Systems · Equation 2

the fraction of time spent actively computing.

Equation guide → · This term → · Article →

D

Comparing the Main Approaches to Edge AI Electronics and Sensor Systems · Equation 4

the fraction of time spent actively computing.

Equation guide → · This term → · Article →

\Pr[\mathcal{M}(D) \in S] \le e^{\varepsilon} \cdot \Pr[\mathcal{M}(D') \in S] + \delta

How Training Data and Synthetic Data Actually Work · Equation 9

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 →

D

How Training Data and Synthetic Data Actually Work · Equation 11

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

Equation guide → · This term → · Article →

D'

How Training Data and Synthetic Data Actually Work · Equation 12

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

Equation guide → · This term → · Article →

D

Hominin Evolution and Deep Prehistory: A First-Principles Introduction · Equation 1

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

Equation guide → · This term → · Article →

D \propto \frac{1}{\mathrm{CPP} \times H_{\mathrm{cell}}}

Advanced Semiconductor Fabrication in 2035: Scenarios, Signals, and Falsifiable Predictions · Equation 1

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

Equation guide → · This term → · Article →

D

Comparing the Main Approaches to Planetary Science and Exploration · Equation 1

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

Equation guide → · This term → · Article →

\theta \approx 1.22\,\frac{\lambda}{D}.

Comparing the Main Approaches to Planetary Science and Exploration · Equation 3

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

Equation guide → · This term → · Article →

D

Comparing the Main Approaches to Origins of Life and Astrobiology · Equation 3

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

Equation guide → · This term → · Article →

P(H_{bio} \mid D) = \frac{P(D \mid H_{bio})\, P(H_{bio})}{P(D \mid H_{bio})\, P(H_{bio}) + P(D \mid H_{ab})\, P(H_{ab})}

Comparing the Main Approaches to Origins of Life and Astrobiology · Equation 4

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(D \mid H_{ab})

Comparing the Main Approaches to Origins of Life and Astrobiology · Equation 5

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

Equation guide → · This term → · Article →

R = \frac{aM}{g\,c_T}\cdot\frac{L}{D}\cdot\ln\!\left(\frac{W_1}{W_2}\right)

Flight at the Energy Floor: Transport Selection to 2100 · 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 →

L/D

Flight at the Energy Floor: Transport Selection to 2100 · Equation 6

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

Equation guide → · This term → · Article →

L/D

Flight at the Energy Floor: Transport Selection to 2100 · Equation 13

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

Equation guide → · This term → · Article →

\frac{\partial f(x,t)}{\partial t} = D\,\frac{\partial^{2} f(x,t)}{\partial x^{2}}

Einstein's Random Walk and the Mathematics of Genetic Drift · 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 →

\langle x^{2} \rangle = 2Dt,

Einstein's Random Walk and the Mathematics of Genetic Drift · 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 →

D

Einstein's Random Walk and the Mathematics of Genetic Drift · Equation 4

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

Equation guide → · This term → · Article →

D = \frac{RT}{N}\cdot\frac{1}{6\pi k P},

Einstein's Random Walk and the Mathematics of Genetic Drift · Equation 7

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

Equation guide → · This term → · Article →

D

Einstein's Random Walk and the Mathematics of Genetic Drift · Equation 11

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

Equation guide → · This term → · Article →

D

Einstein's Random Walk and the Mathematics of Genetic Drift · Equation 12

the governed by a single constant.

Equation guide → · This term → · Article →

\frac{\partial p(x,t)}{\partial t} = -\frac{\partial}{\partial x}\big[\mu(x,t)\,p(x,t)\big] + \frac{\partial^{2}}{\partial x^{2}}\big[D(x,t)\,p(x,t)\big],

Einstein's Random Walk and the Mathematics of Genetic Drift · 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 →

D(x,t)

Einstein's Random Walk and the Mathematics of Genetic Drift · Equation 15

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

Equation guide → · This term → · Article →

\frac{\partial f(x,t)}{\partial t} = D\,\frac{\partial^{2} f(x,t)}{\partial x^{2}} \qquad \text{(Einstein, 1905)}

Einstein's Random Walk and the Mathematics of Genetic Drift · Equation 20

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

Equation guide → · This term → · Article →

DDD

Meanings in context

Symbol D

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Used in 73 equations

$D$