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For a terminal weak ${\mathbb {Q}}$ -Fano threefold X , we show that the m th anti-canonical map defined by $|-mK_X|$ is birational for all $m\geq 59$. [ABSTRACT FROM AUTHOR]

The present study proposed and tested a revision of the self-guides outlined in the L2 motivational self system (Dörnyei, 2005, 2009). Covering the previous conceptualization and measurement issues, ideal L2 self and ought-to L2 self were bifurcated by own and other standpoints, and reoperationalized based on the fundamental tenets of self-discrepancy theory (Higgins, 1987) and regulatory focus theory (Higgins, 1997). Confirmatory factor analysis supported the fitness of the model and its superiority over three alternative models based on data collected from 257 international students learning English as a second language at a major North American university. Multiple regression results showed that ought L2 self/own was the strongest predictor of motivated behavior. Ideal L2 self/own, ought L2 self/other, and ideal L2 self/other were the next predictors in order of strength. Furthermore, ideal L2 self/own predicted an eager strategic inclination in L2 behavior, whereas ought L2 self/own predicted a vigilant strategic inclination, supporting the core principle of the regulatory focus theory that individuals with different regulatory orientations pursue their goals in qualitatively different manners. [ABSTRACT FROM AUTHOR]

In this paper, an asymmetric coplanar strip (ACS)-fed quad-band monopole antenna for the global positioning system (GPS), wireless local area network (WLAN), and worldwide interoperability for microwave access (WiMAX) applications is proposed. It is composed of an F-shaped monopole and a partial ground plane, which are both printed on one side of a low-cost FR4 substrate with a compact volume of 40 × 20 × 1.6 mm3. By cutting an open-ended Γ-shaped slot into the F-shaped monopole, four distinct resonant modes are successfully generated. The design process, especially the geometrical configuration of the critical Γ-shaped slot is studied in detail. The proposed antenna has been fabricated and experimental results show that the −10 dB impedance bandwidth can fully cover the 1.575-GHz GPS (1.57–1.59 GHz), 2.4/5.2/5.8-GHz WLAN (2.4–2.485, 5.15–5.35, and 5.725–5.825 GHz), and 2.5/3.5/5.5-GHz WiMAX (2.50–2.69, 3.30–3.70, and 5.25–5.85 GHz) applications with nearly omni-directional radiation patterns and satisfactory gains. [ABSTRACT FROM PUBLISHER]