Weak Ehrenfeucht-Fraïssé Games

In this paper we define a game which is played between two players I and II on two mathematical structures A and B. The players choose elements from both structures in moves, and at the end of the game the player II wins if the chosen structures are isomorphic. Thus the difference of this to the ordinary Ehrenfeucht-Fra¨ıss´e game is that the isomorphism can be arbitrary, whereas in the ordinary EF-game it is determined by the moves of the players. We investigate determinacy of the weak EF-game for different (the length of the game) and its relation to the ordinary EF-game.

The determinants of sexually transmitted infections among reproductive age women in St. Petersburg, Estonia and Finland

OBJECTIVES: Sexually transmitted infections' (STIs) rate vary in St. Petersburg, Estonia and Finland; the aim was to compare the determinants of self-reported sexually transmitted infections in these areas. METHODS: Data from four population-based questionnaire surveys were used (Finland in 1992 and 1999; St. Petersburg in 2003; Estonia in 2004). With the exception of the 1992 Finnish survey (interview) all were postal surveys, with 1,070 respondents in Finland (78 and 52% response rates), 1,147 (68%) in St. Petersburg, and 5,190 (54%) in Estonia. RESULTS: Risky sexual behaviours were equally common in the three areas and the determinants were the same. Women with an STIs history more often had had their first sexual intercourse when aged under 18, had not used condom during first intercourse, had a high number of lifetime or previous year sexual partners. However, marital status and education were not similar determinants. Cohabiting and well-educated women in Finland were more likely to have STIs while in other areas the associations found were not statistically significant. CONCLUSIONS: Risky behaviour predicts STIs, but does not explain the varying rates of STIs between areas.

The Alfvén Wave Equation for Magnetospheric Plasmas

It is shown that besides the continuous spectrum which damps away as inverse power of time, the coupled Alfvén wave equation, which gives coupling between a shear Alfvén wave and a surface wave, can also admit a well behaved harmonic solution in the closed form for a set of initial conditions. This solution, though valid for finite time intervals, points out that the Alfvén surface waves can have a band of frequency (instead of a monochromatic frequency for a nonsheared magnetic field) within which the local field line resonance frequency can lie, and thus can excite magnetic pulsations with latitude-dependent frequency. By considering magnetic fields not only varying in magnitude but also in direction, it is shown that the time interval for the validity of the harmonic solution depend upon the angle between the magnetic field directions on either side of the magnetopause. For small values of the angle the time interval can become appreciably large.

Public opinion on useful languages in Europe

This article analyses the results of five Eurobarometer surveys (of 1995, 1997, 1998, 2000 and 2005) designed to measure which languages Europeans consider most useful to know. Most Europeans are of the opinion that English is the most useful, followed by French and German. During the last decade the popularity of French and German as useful languages has been decreasing significantly, while English has remained universally favoured as the most useful language. French and German have lost their popularity especially among those who do not speak them as a foreign language. On the other hand, Spanish, Russian and other languages (often these include languages of neighbouring countries, minority languages or a second official language of the country in question) have kept and even increased their former level of popularity. Opinions about useful languages vary according to a respondent’s knowledge of languages, education and profession. This article analyses these differences and discusses their impact on the study of foreign languages and the future of the practice of foreign languages in Europe.

Measurement of the ttbar production cross section with an in situ calibration of b-jet identification efficiency

A measurement of the top-quark pair-production cross section in ppbar collisions at sqrt{s}=1.96 TeV using data corresponding to an integrated luminosity of 1.12/fb collected with the Collider Detector at Fermilab is presented. Decays of top-quark pairs into the final states e nu + jets and mu nu + jets are selected, and the cross section and the b-jet identification efficiency are determined using a new measurement technique which requires that the measured cross sections with exactly one and multiple identified b-quarks from the top-quark decays agree. Assuming a top-quark mass of 175 GeV/c^2, a cross section of 8.5+/-0.6(stat.)+/-0.7(syst.) pb is measured.