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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Convergence analysis of one-point large deviations rate functions of numerical methods for stochastic wave equations with small noise
小噪声 随机波动方程 数值方法 单点大偏差率 函数收敛分析
2023/4/21
In this talk, we present the pointwise convergence of one-point large deviations rate functions (LDRFs) of the spatial finite difference method and further the fully discrete method based on the tempo...
Single Metalens Focuses All Colors Of The Rainbow In One Point（图）
Single Metalens All Colors Rainbow One Point
2018/1/10
Metalenses — flat surfaces that use nanostructures to focus light — promise to revolutionize optics by replacing the bulky, curved lenses currently used in optical devices with a simple, flat surface....
本文中我们对于分次代数引入了t-fold模范畴，这是分次模范畴的全子范畴。我们证明了t-fold模范畴在模扩张以及在单射的余核下封闭。利用此性质，我们证明了t-Koszul模范畴也在模扩张以及在单射的余核下封闭。我们给出了代数的单点扩张成为t-Koszul代数的一个充分必要条件。对于单点扩张代数，我们还研究了可线性表现模范畴与其子范畴t-Koszul模范畴相重合的条件。