In this work we give some bounds which can be used to determine if a block cipher is secure against generalized linear cryptanalysis and partitioning cryptanalysis. For this purpose, we give a new de nition of imbalance which has some nice properties, and we show that an equivalent of Matsui's piling-up lemma holds for this de nition. The bounds are illustrated with examples. We prove that it s...

:‘)ii$ Machine piling of slash and brush after harvest is commonly practiced when establishing new conifer plantations. However, it can result in increased soil bulk density, decreased soil macroporosity, and increased soil strength, thus reducing conifer root development and above-ground growth (Froehlich 1979, Sands and Bowen 1978). Because natural recovery of soil from compaction is slow, wa...

Spontaneously hypertensive rats (SHRs), a commonly used model of genetic hypertension, exhibit features of glandular hyperplasia of the ventral prostate, including the narrowing of acini with epithelial protrusions into the lumen and the piling up of epithelial cells. These rats also have frequent urinary voiding. In order to define the fundamental processes that lead to prostatic hyperplasia i...

DI MIAO: CLASS-SENSITIVE PRINCIPAL COMPONENTS ANALYSIS (Under the direction of J. S. Marron and Jason P. Fine) Research in a number of fields requires the analysis of complex datasets. Principal Components Analysis (PCA) is a popular exploratory method. However it is driven entirely by variation in the dataset without using any predefined class label information. Linear classifiers make up a fa...