A stochastic differential equation SIS epidemic model

In this paper we extend the classical susceptible-infected-susceptible epidemic model from a deterministic framework to a stochastic one and formulate it as a stochastic differential equation (SDE) for the number of infectious individuals $I(t)$. We then prove that this SDE has a unique global positive solution $I(t)$ and establish conditions for extinction and persistence of $I(t)$. We discuss perturbation by stochastic noise. In the case of persistence we show the existence of a stationary distribution and derive expressions for its mean and variance. The results are illustrated by computer simulations, including two examples based on real-life diseases

A field-deployable digital acoustic measurement system

A field deployable digital acoustic measurement system was developed to support acoustic research programs at the Langley Research Center. The system digitizes the acoustic inputs at the microphone, which can be located up to 1000 feet from the van which houses the acquisition, storage, and analysis equipment. Digitized data from up to 12 microphones is recorded on high density 8mm tape and is analyzed post-test by a microcomputer system. Synchronous and nonsynchronous sampling is available with maximum sample rates of 12,500 and 40,000 samples per second respectively. The high density tape storage system is capable of storing 5 gigabytes of data at transfer rates up to 1 megabyte per second. System overall dynamic range exceeds 83 dB

Stand-alone digital data storage control system including user control interface

A storage control system includes an apparatus and method for user control of a storage interface to operate a storage medium to store data obtained by a real-time data acquisition system. Digital data received in serial format from the data acquisition system is first converted to a parallel format and then provided to the storage interface. The operation of the storage interface is controlled in accordance with instructions based on user control input from a user. Also, a user status output is displayed in accordance with storage data obtained from the storage interface. By allowing the user to control and monitor the operation of the storage interface, a stand-alone, user-controllable data storage system is provided for storing the digital data obtained by a real-time data acquisition system

Where Corporations Are: Why Casual Visits to New York Are Bad for Business

In this article, we examine the recent case of Hotel 71 Mezz Lender LLC v. Falor (2010), from the New York Court of Appeals. In this case, New York’s highest court held that LLCs are “present” in New York for jurisdictional purposes when the president of the LLC has submitted to New York jurisdiction in an unrelated law suit against him personally, and where the president came to New York for a deposition in that action. This, we claim, was unconstitutional. In addition, the New York Court of Appeals pronounced itself obliged by the United States Constitution to change the New York law of situs of intangible property. This, we argue, was erroneous. New York is under no constitutional obligation to adopt a specific situs rule about intangible property. Furthermore, the Court of Appeals relied on the situs rule of Harris v. Balk, 198 U.S. 215 (1905) in backward fashion. The Harris case equated the situs of an “account debtor” with the situs of the debt he owed. In Falor, the New York court equated the situs of an LLC with the situs of the equity owners of the LLC, effectively piercing the corporate veil sub silentio. This we view as a profound analytical error that could have far-reaching consequences for business litigation involving interests holders of LLCs

Three Against Two: On the Difference Between Property and Contract and the Example of Deposit Accounts in Bankruptcy

This excellent Article by Professors Jeanne L. Schroeder And David Gray Carlson explores the tension between Citizen\u27s Bank v. Strumpf, 516 U.S. 16 (1995) and later amendments to the Uniform Commercial Code that made deposit accounts collateral for the depositary bank maintaining the account. The Article discusses the question of whether the Uniform Commercial Code amendments could be read to have overruled the Supreme Court. In answering this question in the negative, this Article argues that the Justice Scalia was vindicated by the text of the Uniform Commercial Code and that the 2000 amendments had not overruled the Supreme Court\u27s decision in Stumpf