Symbol in context

$\lambda$

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

Meanings in context

Article-grounded definition

Symbol λ

the known X-ray wavelength.

Read equation 1 in Materials Discovery and Degradation in Practice: An Advanced Technical Guide →

Article-grounded definition

Symbol λ

the wavelength of the illuminating radiation, and n $\sin$ $\alpha$ is the numerical aperture of the imaging system.

Read equation 6 in How Scientific Instruments and Metrology Actually Work →

Article-grounded definition

Symbol λ

the wavelength.

Read equation 2 in Comparing the Main Approaches to Planetary Science and Exploration →

Article-grounded definition

Symbol λ

the decay constant characteristic of the isotope.

Read equation 1 in Radioactive Clocks: How Nuclear Physics Gave Evolution Its Time →

Article-grounded definition

Symbol λ

the asymptotic strength that outcome supports.

Read equation 1 in Prepared Fears: How Evolution Biased What the Mind Learns to Dread →

Article-grounded definition

Symbol λ

the exposure wavelength, $\mathrm{NA}$ is the numerical aperture of the projection optics.

Read equation 1 in Patterning at the Limit: What Actually Happens When a Chip Is Manufactured →

Article-grounded definition

Symbol λ

the parallel agents raise.

Read equation 7 in Codex in 2035: Scenarios for Software Teams, Verification, and Machine-Written Code →

Used in 68 equations

\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.

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P(\lambda \mid \text{observed}) \;\propto\; P(\lambda) \times n_{\text{obs}}(\lambda)

Fine-Tuning Without a Tuner: Selection Effects in Physics · Equation 2

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

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n_{\text{obs}}(\lambda)

Fine-Tuning Without a Tuner: Selection Effects in Physics · Equation 3

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

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\lambda

Fine-Tuning Without a Tuner: Selection Effects in Physics · Equation 4

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

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N(t) = N_0\, e^{-\lambda t}, \qquad t_{1/2} = \frac{\ln 2}{\lambda},

Radioactive Clocks: How Nuclear Physics Gave Evolution Its Time · 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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\lambda

Radioactive Clocks: How Nuclear Physics Gave Evolution Its Time · Equation 3

the decay constant characteristic of the isotope.

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\Delta V = \alpha \,(\lambda - V)

Prepared Fears: How Evolution Biased What the Mind Learns to Dread · 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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\lambda

Prepared Fears: How Evolution Biased What the Mind Learns to Dread · Equation 3

the asymptotic strength that outcome supports.

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g_A = \frac{\lambda n}{1-\phi}

Who Builds 2100? The Demographic Engine of Technological Evolution · 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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\lambda

Who Builds 2100? The Demographic Engine of Technological Evolution · Equation 4

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

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\lambda

Who Builds 2100? The Demographic Engine of Technological Evolution · Equation 6

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

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\lambda

Who Builds 2100? The Demographic Engine of Technological Evolution · Equation 9

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

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V(\phi) = -\mu^2\,\phi^\dagger\phi + \lambda\,(\phi^\dagger\phi)^2, \qquad \mu^2 > 0,\ \lambda > 0.

The Vacuum Has a History: Symmetry Breaking as Speciation · Equation 2

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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|\phi| = \mu/\sqrt{2\lambda}

The Vacuum Has a History: Symmetry Breaking as Speciation · 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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Q\,\frac{dg_i}{dQ} = \beta_i(g_1, g_2, g_3, y_t, \lambda),

The Vacuum Has a History: Symmetry Breaking as Speciation · Equation 17

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

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\mathcal{L}(\theta) = \mathcal{L}_{\mathrm{new}}(\theta) + \lambda \sum_{i} F_i\left(\theta_i - \theta_i^{*}\right)^2,

The Hardest Unsolved Problems in Small and On-Device AI · Equation 12

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

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\lambda

The Hardest Unsolved Problems in Small and On-Device AI · Equation 15

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

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\lambda

The Hardest Unsolved Problems in Small and On-Device AI · Equation 16

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

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\lambda

The Hardest Unsolved Problems in Small and On-Device AI · Equation 17

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

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\mathcal{L}(x) = \lVert x - \hat{x}(x) \rVert_2^2 + \lambda \lVert f(x) \rVert_1, \qquad \hat{x}(x) = W_d\, f(x) + b_d,

What Interpretability Actually Costs to Do at Scale · 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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\hat x = W_d f(x) + b_d, \qquad f(x) = \mathrm{JumpReLU}_\theta\big(W_e x + b_e\big), \qquad \mathcal L(x) = \lVert x - \hat x \rVert_2^2 + \lambda \lVert f(x) \rVert_0.

Probing, Sparse Autoencoders, Patching, and Steering: The Main Interpretability Methods, Compared · Equation 9

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

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\mathcal{L}_{\mathrm{SAE}}(a) = \lVert a - \hat a \rVert_2^2 + \lambda \lVert z \rVert_1, \qquad \hat a = W_{\mathrm{dec}}\, z + b_{\mathrm{dec}}, \qquad z = \mathrm{ReLU}\!\left(W_{\mathrm{enc}}(a - b_{\mathrm{dec}}) + b_{\mathrm{enc}}\right).

How Mechanistic Interpretability Research Is Actually Done · Equation 9

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

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\lambda

Agentic Coding Tools in 2035: Four Scenarios, Their Signals, and What Would Falsify Them · Equation 1

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

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\rho = \frac{\lambda}{\mu} < 1.

Agentic Coding Tools in 2035: Four Scenarios, Their Signals, and What Would Falsify Them · Equation 3

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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\lambda

Agentic Coding Tools 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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\lambda

Agentic Coding Tools in 2035: Four Scenarios, Their Signals, and What Would Falsify Them · Equation 10

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

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\lambda

Agentic Coding Tools in 2035: Four Scenarios, Their Signals, and What Would Falsify Them · Equation 12

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

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R = k_1 \frac{\lambda}{\mathrm{NA}},

Patterning at the Limit: What Actually Happens When a Chip Is Manufactured · 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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\lambda

Patterning at the Limit: What Actually Happens When a Chip Is Manufactured · Equation 2

the exposure wavelength, $\mathrm{NA}$ is the numerical aperture of the projection optics.

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\lambda / (2\,\mathrm{NA})

Patterning at the Limit: What Actually Happens When a Chip Is Manufactured · Equation 5

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

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λ\lambdaλ

Meanings in context

Symbol λ

Symbol λ

Symbol λ

Symbol λ

Symbol λ

Symbol λ

Symbol λ

Used in 68 equations

$\lambda$