Although advances in SHA-1 cryptanalysis have been made since the 2005 announcement of a 2 attack by Wang et al., the details of the attack have not yet been presented or verified. This note does just that. Working from Adi Shamir’s 2005 CRYPTO rump session presentation of Wang et al.’s work, this note verifies and presents the differential path and associated conditions. Although the error ana...

The problem of learning a sparse conic combination of kernel functions or kernel matrices for classification or regression can be achieved via the regularization by a block 1-norm [1]. In this paper, we present an algorithm that computes the entire regularization path for these problems. The path is obtained by using numerical continuation techniques, and involves a running time complexity that...

In this paper, Shortest Path Design Problem (SPDP) in which the path is incident to all cells is considered. The bi-directional path is one of the known types of configuration of networks for Automated Guided Vehi-cles (AGV).To solve this problem, two algorithms are developed. For each algorithm an Integer Linear Pro-gramming (ILP) is determined. The objective functions of both algorithms are t...

We first note that block diagrams have been important for the learning of GPSS and have been used in most GPSS text books. The full value of block diagrams is obtained first when they can be automatically generated from program code and that block diagrams in turn can generate code. The computer generation of block diagrams requires, however, very exact rules for the block diagrams. This is lac...

A block-chain is a graph whose block graph is a path, i.e. it is either a P1, a P2, or a 2-connected graph, or a graph of connectivity 1 with exactly two end-blocks. A graph is called traceable if it contains a Hamilton path. A traceable graph is clearly a block-chain, but the reverse does not hold in general. In this paper we characterize all pairs of connected graphs {R, S} such that every {R...

The Implicit Path Enumeration Technique (IPET) is a very popular approach to evaluate the Worst-Case Execution Time (WCET) of hard real-time applications. It computes the execution time of an execution path as the sum of the execution times of the basic blocks weighted by their respective execution counts. Several techniques to estimate the execution time of a block taking into account every po...

Excruciating pain is a common complication following breast surgery which can be effectively treated with double path PECS I and II blocks. Sixty patients undergoing were randomly assigned into two groups: Single-path (SP) group received single-path pectoral nerve (PECS) block, by injecting 0.25% bupivacaine 15 ml the space between serratus muscle pectoralis minor muscle, then withdrawing needl...

Since the successful launch of DigitalGlobe’s QuickBird satellite and the availability of the data, QuickBird Imagery has quickly become the best choice for large scale mapping using high-resolution satellite images. First, the satellite has panchromatic and multispectral sensors with resolutions of 61-72cm (2-2.4ft) and 2.44-2.88m (8-9.4ft) respectively, depending upon the off-nadir viewing an...

In this paper, we study a variant of the path cover problem, namely, the terminal path cover problem. Given a graph G and a subset T of vertices of G, a terminal path cover of G with respect to T is a set of pairwise vertex-disjoint paths PC that covers the vertices of G such that the vertices of T are all endpoints of the paths in PC. The terminal path cover problem is to find a terminal path ...