We discuss how to exploit the recent formulation of classical and quantum information geometry in terms normal states on $$W^{*}$$ -algebras formulate a problem that unifies Čencov’s theorem Petz’s theorem.

We show that metric trees and their products meet the octahedron comparison, which is a certain six-point comparison similar to Alexandrov’s CAT(0) comparison.

A Mixed Media Reality (MMR) system and associated techniques are disclosed. The MMR system provides mechanisms for forming a mixed media document that includes media of at least two types (e.g., printed paper as a first medium and digital content and/or web link as a second medium). In one particular embodiment, the MMR system provides a user with information related to the location of the user...

Meet-in-the-middle attacks, where problems and the secrets being sought are decomposed into two pieces, have many applications in cryptanalysis. A well-known such attack on double-DES requires 256 time and memory; a naive key search would take 2112 time. However, when the attacker is limited to a practical amount of memory, the time savings are much less dramatic. For n the cardinality of the s...

Based on the analysis made by van Oorschot and Wiener for the complexity of parallel memoryless collision search [5], we show that the memoryless meet-in-the-middle attack which is one part of the whole preimage attack of Khovratovich et. al. [3] on EDON-R hash function has complexity bigger than 2n.

(57) ABSTRACT A Mixed Media Reality (MMR) system and associated techniques are disclosed. The MMR system provides mechanisms for forming a mixed media document that includes media of at least two types. In one embodiment of the present invention, the MMR system includes an action processor and method, and MMR documents with an associated action. The MMR document structure specifies different ac...

A novel ultra-wideband (UWB) monopole antenna with triple band-notched functions is presented. A pair of folded multiplemode resonators (MMR) symmetrically coupled to the feed line are utilized to generate triple notched bands for WiMAX, WLAN and downlinks of X-band satellite communication, respectively. The centre frequencies and band gaps between them can be tuned by varying the length and wi...

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with the goal of identifying the numerous nuclear pore Universitä t Heidelberg proteins and studying their role in nucleocytoplasmic Institut fü r Biochemie I transport. Recently, the purification of milligram quanti-Im Neuenheimer Feld 328 ties of highly enriched yeast NPCs and a genetic dissec-D-69120 Heidelberg tion of the NPC gave a burst of knowledge on the nature Federal Republic of Germa...

Last year I had the privilege of meeting Elling Ulvestad, a Norwegian microbiologist who is also a philosopher. He is a man of enormous warmth and energy, as well as having inexhaustible enthusiasm for his subject. He can soon convince anybody that the world is in great need of a philosophy that is properly informed by microbiology, and vice versa. Here are the kinds of facts that Professor Ulv...