Entropy-power uncertainty relations : towards a tight inequality for all Gaussian pure states

We show that a proper expression of the uncertainty relation for a pair of canonically-conjugate continuous variables relies on entropy power, a standard notion in Shannon information theory for real-valued signals. The resulting entropy-power uncertainty relation is equivalent to the entropic formulation of the uncertainty relation due to Bialynicki-Birula and Mycielski, but can be further extended to rotated variables. Hence, based on a reasonable assumption, we give a partial proof of a tighter form of the entropy-power uncertainty relation taking correlations into account and provide extensive numerical evidence of its validity. Interestingly, it implies the generalized (rotation-invariant) Schr\"odinger-Robertson uncertainty relation exactly as the original entropy-power uncertainty relation implies Heisenberg relation. It is saturated for all Gaussian pure states, in contrast with hitherto known entropic formulations of the uncertainty principle.Comment: 15 pages, 5 figures, the new version includes the n-mode cas

Oy Nokia and Order XI: Notes on Unstructured Bases of Jurisdiction

In Oy Nokia Ab v. The Ship Martha Russ 1the Trial Division of the Federal Court was faced with the issue of its power to authorize service of a statement of claim out of the jurisdiction. Before the court stood the plaintiff, Oy Nokia Ab, a Finnish corporation, and the defendants, the German registered ship Martha Russ , her German corporate owners, E. Russ & Co., a second ship, the Dutch Korendyk , and the latter\u27s owners, the Dutch corporation Nederlandsche-Ameri-Kaansche Stoomvaart Maatschappij, N.V. Oy Nokia\u27s claim sounded in both tort and breach of contract in that the defendants had allegedly delivered Oy Nokia\u27s cargo to Vancouver in damaged condition. Oy Nokia had sold serial capacitators to British Columbia Hydro. The goods were loaded on the Martha Russ in Finland and covered by a bill of lading for carriage to Germany. Upon arrival of the German ship in Hamburg, E. Russ & Co. notified the plaintiff\u27s German agents. At the agents\u27 direction, the cargo was loaded on barges ordered and paid for by the agents and the barges were towed from the Martha Russ to the Korendyk . The goods were not inspected in Hamburg (indeed, they were not inspected until delivered in Vancouver),2 but were charged on board the Dutch ship and covered by a bill of lading from Hamburg to Vancouver issued by or on behalf of the Dutch owners of the Korendyk . The bills of lading issued by the German and Dutch companies were completely separate, and there was no allegation of any connection between the two companies. The German ship and her owners participated no further in the carriage or handling of Oy Nokia\u27s cargo once it was loaded on the barges in Hamburg

Oy Nokia and Order XI: Notes on Unstructured Bases of Jurisdiction

In Oy Nokia Ab v. The Ship Martha Russ 1the Trial Division of the Federal Court was faced with the issue of its power to authorize service of a statement of claim out of the jurisdiction. Before the court stood the plaintiff, Oy Nokia Ab, a Finnish corporation, and the defendants, the German registered ship Martha Russ , her German corporate owners, E. Russ & Co., a second ship, the Dutch Korendyk , and the latter\u27s owners, the Dutch corporation Nederlandsche-Ameri-Kaansche Stoomvaart Maatschappij, N.V. Oy Nokia\u27s claim sounded in both tort and breach of contract in that the defendants had allegedly delivered Oy Nokia\u27s cargo to Vancouver in damaged condition. Oy Nokia had sold serial capacitators to British Columbia Hydro. The goods were loaded on the Martha Russ in Finland and covered by a bill of lading for carriage to Germany. Upon arrival of the German ship in Hamburg, E. Russ & Co. notified the plaintiff\u27s German agents. At the agents\u27 direction, the cargo was loaded on barges ordered and paid for by the agents and the barges were towed from the Martha Russ to the Korendyk . The goods were not inspected in Hamburg (indeed, they were not inspected until delivered in Vancouver),2 but were charged on board the Dutch ship and covered by a bill of lading from Hamburg to Vancouver issued by or on behalf of the Dutch owners of the Korendyk . The bills of lading issued by the German and Dutch companies were completely separate, and there was no allegation of any connection between the two companies. The German ship and her owners participated no further in the carriage or handling of Oy Nokia\u27s cargo once it was loaded on the barges in Hamburg

Consequences of Nationality in American Law

Nationality plays its principal role in immigration matters, but it has been put to significant uses in other areas of American law. This Article focuses on the consequences of the application of the nationality concept in constitutional law, civil rights legislation, taxation, and securities regulation. The author examines the functions which nationality has been required to fulfill and assesses the concept\u27s capacity for accomplishing assigned legal tasks. The author criticizes the overbroad uses of nationality as a legal regulator, but finds that the concept can play a useful, though restricted, role in some areas

Doyle v. Doyle

In Doyle v. Doyle, \u27 the defendant in a civil action moved to set aside the service of a writ of summons on the grounds of want of jurisdiction of the Newfoundland Supreme Court. The defendant, resident and domiciled in Montreal, was arrested there on December 7, 1973, and taken under police escort to St. John\u27s. He was released on bail on December 11 but was required to remain in Newfoundland until final disposition of the fraud case for which he had been arrested. On December 17 a writ was issued against him from the Newfoundland Court and on December 18 it was served on him in Newfoundland. This action was one for arrears of maintenance under a Quebec judgment. 2 The defendant asked that the writ and service thereof be set aside ... on grounds that he was only found within the jurisdiction of the Court where service could legally be effected because he was brought into Newfoundland compulsorily by the police\u27 \u27.3 The Court rejected the defendant\u27s contentions. It distinguished situations where civil process has been set aside where a defendant was induced to enter the jurisdiction by fraud,4 such decisions being founded on the principle that service in such instances amounts to an abuse of process of the Court.

Oy Nokia and Order XI: Notes on Unstructured Bases of Jurisdiction

In Oy Nokia Ab v. The Ship Martha Russ 1the Trial Division of the Federal Court was faced with the issue of its power to authorize service of a statement of claim out of the jurisdiction. Before the court stood the plaintiff, Oy Nokia Ab, a Finnish corporation, and the defendants, the German registered ship Martha Russ , her German corporate owners, E. Russ & Co., a second ship, the Dutch Korendyk , and the latter\u27s owners, the Dutch corporation Nederlandsche-Ameri-Kaansche Stoomvaart Maatschappij, N.V. Oy Nokia\u27s claim sounded in both tort and breach of contract in that the defendants had allegedly delivered Oy Nokia\u27s cargo to Vancouver in damaged condition. Oy Nokia had sold serial capacitators to British Columbia Hydro. The goods were loaded on the Martha Russ in Finland and covered by a bill of lading for carriage to Germany. Upon arrival of the German ship in Hamburg, E. Russ & Co. notified the plaintiff\u27s German agents. At the agents\u27 direction, the cargo was loaded on barges ordered and paid for by the agents and the barges were towed from the Martha Russ to the Korendyk . The goods were not inspected in Hamburg (indeed, they were not inspected until delivered in Vancouver),2 but were charged on board the Dutch ship and covered by a bill of lading from Hamburg to Vancouver issued by or on behalf of the Dutch owners of the Korendyk . The bills of lading issued by the German and Dutch companies were completely separate, and there was no allegation of any connection between the two companies. The German ship and her owners participated no further in the carriage or handling of Oy Nokia\u27s cargo once it was loaded on the barges in Hamburg

Note on Developments in Torts

Between October 1974 and March 1975, the Nova Scotia Law News synopsized some forty Nova Scotia tort cases. This note will not attempt to duplicate that coverage, but rather to elaborate upon a few of the points raised in those cases and to emphasize a number of Supreme Court of Canada decisions which should have tangible effect upon our provincial tort law

Eclipse Timings of the Transient Low Mass X-ray Binary EXO0748-676. IV. The Rossi X-Ray Timing Explorer Eclipses

We report our complete database of X-ray eclipse timings of the low mass X-ray binary EXO0748-676 observed by the Rossi X-Ray Timing Explorer (RXTE) satellite. As of this writing we have accumulated 443 full X-ray eclipses, 392 of which have been observed with the Proportional Counter Array on RXTE. These include both observations where an eclipse was specifically targeted and those eclipses found in the RXTE data archive. Eclipse cycle count has been maintained since the discovery of the EXO0748-676 system in February 1985. We describe our observing and analysis techniques for each eclipse and describe improvements we have made since the last compilation by Wolff et al. (2002). The principal result of this paper is the database containing the timing results from a seven-parameter fit to the X-ray light curve for each observed eclipse along with the associated errors in the fitted parameters. Based on the standard O-C analysis, EXO0748-676 has undergone four distinct orbital period epochs since its discovery. In addition, EXO0748-676 shows small-scale events in the O-C curve that are likely due to short-lived changes in the secondary star.Comment: Accepted for publication in The Astrophysical Journal Supplement Series, 5 figures. Analysis revised. Tables 1 & 3 update