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dd

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

Meanings in context

Used in 100 equations

CmdVdt=−gˉNam3h(V−ENa)−gˉKn4(V−EK)−gL(V−EL)+IextC_m \frac{dV}{dt} = -\bar{g}_{Na} m^3 h (V - E_{Na}) - \bar{g}_K n^4 (V - E_K) - g_L (V - E_L) + I_{ext}

From Origins to Frontier: A History of Systems and Computational Neuroscience · 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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RMSNorm(x)j=xjRMS(x) gj,RMS(x)=1d∑k=1dxk2+ϵ.\mathrm{RMSNorm}(x)_j = \frac{x_j}{\mathrm{RMS}(x)}\, g_j, \qquad \mathrm{RMS}(x) = \sqrt{\frac{1}{d}\sum_{k=1}^{d} x_k^2 + \epsilon}.

How Llama's Architecture Actually Works, Generation by Generation · Equation 19

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

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C(r)=∫tntfT(t) σ(r(t)) c(r(t),d) dt,T(t)=exp⁡ ⁣(−∫tntσ(r(s)) ds),C(\mathbf{r}) = \int_{t_n}^{t_f} T(t)\, \sigma(\mathbf{r}(t))\, \mathbf{c}(\mathbf{r}(t), \mathbf{d})\, dt, \qquad T(t) = \exp\!\left(-\int_{t_n}^{t} \sigma(\mathbf{r}(s))\, ds\right),

How Multimodal Models Actually Handle Video, Audio, and Space · 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 →