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Argues in this wideranging paper that the legitimacy of international law depends on the principle that pacts should be respected, reviewing the issues of self‐preservation, proportionality and human rights in relation to this. Focuses on the economic war against terrorism by the USA preeminently, as expressed in the PATRIOT Act and the International Emergency Economic Powers Act and the Anti‐Terrorism and Effective Death Penalty Act. Concludes that the Patriot Act and the Homeland Security Act give the Executive branch of government extraordinary and warlike powers: but wars have an end whereas terrorism does not. Looks at the role of the US Federal courts in the context of national security, proportionality and human rights concerns, and finds them deficient; reports specific cases concerning Iranian resistance movements and their status as regards terrorism, and the Bajkajian, Austin and Alexander cases as regards proportionality.

Defines dumping as the sale of goods onto the market of an importing country at less than their normal value on the domestic market, and explains the economic rationale behind dumping. Reviews the origin of anti‐dumping laws, and the objectives of applying anti‐dumping duty legislation to non‐market economy countries, with reference to European Union (EU) anti‐dumping measures against China; the latter is still viewed as a non‐market economy. Indicates the impact of the EU anti‐dumping campaign on Chinese industries and legal strategies for challenging the EU anti‐dumping campaign. Concludes that the campaign is unfair and should now recognise the progress of economic reform in China, which since 2001 is a member of the World Trade Organization.

Begins with the Staff Report to the National Commission on Terrorist Attack on the United States, which indicates the methods used to trace, seize and freeze terrorist assets, and the informal methods used by al‐Qaeda to transfer money. Questions the amount of progress made since September 11 to freeze funds. Focuses on encryption technology and how it allows illegal use of the Internet in the form of cyber laundering and e‐cash, and on the move by terrorists into narcotics production and trafficking ‐ which is defined as nacre‐terrorism. Describes efforts to proscribe cyber crime, including cyber laundering and cyber terrorism, including controls on privacy and encryption. Shows how business corporations can become involved with terrorism, including a case study on tanzanite.

The authors consider parallel four-state tandem open queueing network. The queue capacity is infinite. Passenger arrival rate is Poisson distribution and service rate is exponential distribution. The queue is constructed in the form of tandem queue, and each and every queue of tandem queue is single server (M/M/1) queue. In tandem queue, passengers will leave the system once they receive service from both the states. The purpose of this paper is to provide performance analysis for four-state tandem open queue network, and a governing equation is formulated with the help of transition diagram. Using Burke theorem, the authors formulated equation for average number of passenger in the system, average waiting time of passenger in the system, average number of passenger in the queue and average waiting time of passenger in the queue.

This paper used Burke’s theorem.

In this paper, performance analysis is done for parallel four-state tandem open queueing network and performance measure solved using Burkes theorem formula. K. Sreekanth et al. has done performance analysis for single tandem queue with three states. In this paper, the authors have done performance analysis for two tandem queues parallel with four states. This four-state tandem open queueing network is suitable for real world applications. This paper can extend for more number of service states and multi-server states according to the application, and in such case, the authors have to prove and explain with numerical examples. This analysis is more useful for the applications such as airports, railway stations, bus-stands and banks.

In this paper, parallel four-state tandem open queueing network and performance measure has been solved using Burke’s theorem formula.

In the course of development of human communities towards industrially advanced societies of today, there have been changes not only in economic conditions in the majority of fields of human activity but also in the ways of providing for food, which went hand in hand with changes in living conditions. Large‐scale industrial production has brought about major changes in the way of life of the population. The development of industrial agglomerations results in a growing number of city dwellers, most of whom have no chance of producing foodstuffs of their own in kind. The distance between residential and industrial areas has been growing, the number of employed women has risen considerably. These are but a few factors affecting the way of boarding, particularly in households.

12,2 Millionen Bundesbürger sind über 60 Jahre alt. Im Jahre 2000 werden es bereits 14 Millionen sein. Kein Wunder also, dass die Senioren für viele Wirtschaftszweige immer interessanter werden. Dies gilt auch für die Tourismusbranche, die mit der wachsenden Reisefreude der älteren Generation rechnen kann. Im vorliegenden Beitrag werden ausgewählte Ergebnisse einer Studie wiedergegeben, die das Institut für Freizeit‐ und Tourismusberatung aus Ettlingen Anfang des Jahres gemacht hatte.

The paper aims to determine the rational homotopy type of the total space of projectivized bundles over complex projective spaces using Sullivan minimal models, providing insights into the algebraic structure of these spaces.

The paper utilises techniques from Sullivan’s theory of minimal models to analyse the differential graded algebraic structure of projectivized bundles. It employs algebraic methods to compute the Sullivan minimal model of P(E) and establish relationships with the base space.

The paper determines the rational homotopy type of projectivized bundles over complex projective spaces. Of great interest is how the Chern classes of the fibre space and base space, play a critical role in determining the Sullivan model of P(E). We also provide the homogeneous space of P(E) when n = 2. Finally, we prove the formality of P(E) over a homogeneous space of equal rank.

Limitations may include the complexity of computing minimal models for higher-dimensional bundles.

Understanding the rational homotopy type of projectivized bundles facilitates computations in algebraic topology and differential geometry, potentially aiding in applications such as topological data analysis and geometric modelling.

While the direct social impact may be indirect, advancements in algebraic topology contribute to broader mathematical knowledge, which can underpin developments in science, engineering, and technology with societal benefits.

The paper’s originality lies in its application of Sullivan minimal models to determine the rational homotopy type of projectivized bundles over complex projective spaces, offering valuable insights into the algebraic structure of these spaces and their associated complex vector bundles.

I‐V characteristics of GaAs n‐i‐n structures are calculated by considering impact ionization of carriers. Impact ionization at reverse‐biased n‐i junction becomes a cause of steep current rise when an acceptor density in the i‐layer is high. It is shown that an optimum acceptor density exists to keep a good isolation. Photoconduction transients of GaAs n‐i‐n structures are also simulated, and are shown to be strongly affected by existence of n‐i junctions.

Logic function representations play an important role in logic design and computer design, as well as VLSI design. There are many ways to represent a logic function. Presents and classifies 11 representation methods into “unique representation category” and “non‐unique representation category”. History of these methods is also briefly mentioned. There are three non‐unique representation methods: Boolean expression;sum of products; and product sums, and eight unique representation methods: truth table; canonical sum of products; canonical product of sums; sum of minterms; product of maxterms; Karnaugh map; Boolean lattice; and Venn diagram. A theorem is found which states that Boolean expression, sum of products, product of sums, sum of minterms, product of maxterms, and Karnaugh map, form a lattice structure. The results may have useful applications in knowledge representation, pictorial knowledge representation and other related areas.

When in‐plant and college‐based courses are run for supervisors and managers, it is conventional to use a U‐shaped seating arrangement in the training room to promote participation and discussion. However, at each class session, people will tend to sit with the same companions habitually, which may be more comfortable, but less productive than if they sat with different people each time.