Precious Items Piling up Like Mountains: Buddhist Art Production via Fundraising Campaigns in Late Koryŏ Korea (918–1392)

Piling Up, or Floating Away

Piling-up Lemma for Markov Chains

Piling Up Pillar[5]arenes To Self-Assemble Nanotubes.

New liquid-crystalline pillar[5]arene derivatives have been prepared by grafting first-generation Percec-type poly(benzylether) dendrons onto the macrocyclic scaffold. The molecules adopt a disc-shaped structure perfectly suited for self-organization into a columnar liquid-crystalline phase. In this way, the pillar[5]arene cores are piled up, thus forming a nanotubular wire encased within a she...

Extended Linear Cryptanalysis and Extended Piling-up Lemma

In this paper, we extend the idea of piling-up lemma and linear cryptanalysis applied to symmetric-key block ciphers. We also examine this new method of Extended Linear Cryptanalysis on two-round Rijndael, which is designed to be immune to linear cryptanalysis attack. Even though our results do not show much surprise on two-round Rijndael, the effects on other block ciphers remain open questions.

Maximal Data Piling in Discrimination

In a binary discrimination problem, a linear classifier finds a linear hyperplane that separates two classes by partitioning the data space. Especially in a High Dimension Low Sample Size (HDLSS) setting, there are linear separating hyperplanes such that the projections of the training data points onto their normal direction vectors are identically zero, or some non-zero constant. Of interest i...