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Jacobi's Nome q is given to twenty decimals as a function of the modulus-squared, k squared, the modular angle arc sin k, and the complementary modulus k' for k squared : 0(.001) 999; arc sin k : 0(.10) 89 degrees (.01) 89.99 degrees (.0002) 90 degrees; k' : 0001(.0001).02. The latter table also gives values of an approximation valid in this range to the order of (k') squared, as well as the ratio of the true and approximate values and second central differences of the latter ratio. The fourth table gives k and k' as functions of q for q = 0(.001).5.
Jacobi's Nome q is given to twenty decimals as a function of the modulus-squared, k squared, the modular angle arc sin k, and the complementary modulus k' for k squared : 0(.001) 999; arc sin k : 0(.10) 89 degrees (.01) 89.99 degrees (.0002) 90 degrees; k' : 0001(.0001).02. The latter table also gives values of an approximation valid in this range to the order of (k') squared, as well as the ratio of the true and approximate values and second central differences of the latter ratio. The fourth table gives k and k' as functions of q for q = 0(.001).5. (Author).
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This document describes a protocol to monitor five terrestrial plant communities in seven national parks within the Pacific Island Network (PACN).
This commemorative volume of invited papers in vegetation science covers a full range of topics, objectives, methods and applications, including conservation and management tasks. These require study at different temporal and spatial scales, often simultaneously. Methodology is important in science, since it responds to particular questions and raises others. It is also closely related to the scale of investigation. Chapters in this book illustrate this interdependence, even in basic tasks such as vegetation sampling and description, measurements and mapping. Individual chapters present globally applicable systems, regional syntheses and local analyses and applications, plus conceptual methodologies, including currently debated hot topics. Vegetation types treated include tropical rainforests, temperate forests, dry steppes and scrub and local turf, sedge and moss communities. There are also chapters on re-vegetation, woodlot management, ecology of an invasive species, and trajectory planning in conservation. This book will be useful to both students and practitioners, for its reviews and examples and as a potential textbook suitable for graduate-level courses and seminars.