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mm

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

Meanings in context

Used in 112 equations

x2i−1′=x2i−1cos⁡(mθi)−x2isin⁡(mθi)x2i′=x2i−1sin⁡(mθi)+x2icos⁡(mθi)\begin{aligned} x'_{2i-1} &= x_{2i-1}\cos(m\theta_i) - x_{2i}\sin(m\theta_i) \\ x'_{2i} &= x_{2i-1}\sin(m\theta_i) + x_{2i}\cos(m\theta_i) \end{aligned}

How Llama's Architecture Actually Works, Generation by Generation · Equation 8

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

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Patch(c)=m(M(xcorrupt; ac←acclean))−m(M(xcorrupt)).\mathrm{Patch}(c) = m\Big(M\big(x_{\mathrm{corrupt}};\ a_c \leftarrow a_c^{\mathrm{clean}}\big)\Big) - m\big(M(x_{\mathrm{corrupt}})\big).

How Mechanistic Interpretability Research Is Actually Done · Equation 20

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

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Safeguard(m)={ASL-2,R(m)<τ3ASL-3,τ3≤R(m)<τ4ASL-4,R(m)≥τ4\text{Safeguard}(m) = \begin{cases} \text{ASL-2}, & R(m) < \tau_3 \\ \text{ASL-3}, & \tau_3 \le R(m) < \tau_4 \\ \text{ASL-4}, & R(m) \ge \tau_4 \end{cases}

Anthropic 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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