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yy

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

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Used in 61 equations

uc2(y)=∑i=1N(∂f∂xi)2u2(xi)  +  2∑i=1N−1∑j=i+1N∂f∂xi∂f∂xj u(xi,xj)u_c^2(y) = \sum_{i=1}^{N} \left(\frac{\partial f}{\partial x_i}\right)^2 u^2(x_i) \;+\; 2\sum_{i=1}^{N-1}\sum_{j=i+1}^{N} \frac{\partial f}{\partial x_i}\frac{\partial f}{\partial x_j}\, u(x_i, x_j)

How Scientific Instruments and Metrology Actually Work · Equation 4

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

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max⁡θ  Ex, y∼πθ[rϕ(x,y)]  −  β DKL(πθ ∥ πref).\max_\theta \; \mathbb{E}_{x,\, y\sim\pi_\theta}\big[r_\phi(x,y)\big] \;-\; \beta \, D_{\mathrm{KL}}\big(\pi_\theta \,\Vert\, \pi_{\mathrm{ref}}\big).

The Main Technical Approaches to AI Alignment, Compared · Equation 2

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

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