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A Quartic Identity Related to Fermat-Type Equations

⟨Vi,Vj⟩=λi​λj⋅(−2​(Ui−Uj)2​(Ui+Uj)2),\langle V_{i},V_{j}\rangle=\lambda_{i}\lambda_{j}\... n−2​(xn+yn−zn),\displaystyle=64\,r^{2}s^{2}t^{2}(xyz)^{n-2}\,(x^{n}+y^{n}-z^{n}), which establishes...

Classroom Final Exam: An Instructor-Tested Reasoning Benchmark

Vgt={(v1,d1,x1,t1),…,(vn,dn,xn,tn)},V_{\mathrm{gt}}=\{(v_{1},d_{1},x_{1},t_{1}),\ldots,(v_{n},d_{n},x_{n},t_{n})\}, where each tuple consists of a variable nameviv_{i}, a semantic descriptiondid_{i}, the targ...

Conformal prediction without knowledge of labeled calibration data

ݒ�​(Xt​e​s​t)={((x1,y1),…,(xn,yn),y)∣s​(Xt​e​s​t,y)≤q^​(x1,…,xn)}.\mathcal{C}(X_{test})=\{((x_{1},y_{1}),\dots,(x_{n},y_{n}),y)\mid s\left(X_{test},y\right)\leq\hat{q}(x_{1},\dots,x_{n})\}. the f...

数聚VIV.CN

汇聚中国数据 建设数字中国 ●

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