3 papers
math.CO2023
Tilings of the sphere by congruent regular triangles and congruent rhombi
Qi Yuan, Erxiao Wang
All edge-to-edge tilings of the sphere by congruent regular triangles and congruent rhombi are classified as: (1) a -parameter family of protosets each admitting a unique $(2a^3…
math.MG2021
Constructing Whitney sets via IFS with condensation
Qi-han Yuan, Yuan Zhang
In 1935, Whitney constructed a smooth function for which the Morse-Sard Theorem does not hold. Whitney's construction is closely related to certain compact connected set, which is…
math.NA2018
Superlinear Convergence of Randomized Block Lanczos Algorithm
Qiaochu Yuan, Ming Gu, Bo Li
The low rank approximation of matrices is a crucial component in many data mining applications today. A competitive algorithm for this class of problems is the randomized block Lan…