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Trigonometry (2,568 Books)


Trigonometry (from Greek trigonon 'triangle' + metron 'measure' or from Sanskrit trikon 'triangle' + miti 'measurement' = trikonmiti) is a branch of mathematics that studies triangles and the relationships between their sides and the angles between the sides. Trigonometry defines the trigonometric functions, which describe those relationships and have applicability to cyclical phenomena, such as waves. The field evolved during the third century BC as a branch of geometry used extensively for astronomical studies.

 
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A Semi-lagrangian Advection Scheme for Radioactive Tracers in a Re...

By: E.-c. Chang; K. Yoshimura

Description: Department of Atmospheric Science, Kongju National University, Gongju, South Korea. In this study, the non-iteration dimensional-split semi-Lagrangian (NDSL) advection scheme is applied to the National Centers for Environmental Prediction (NCEP) regional spectral model (RSM) to alleviate the Gibbs phenomenon. The Gibbs phenomenon is a problem wherein negative values of positive-definite quantities (e.g., moisture and tracers) are generated by the s...

Bourke, W.: An efficient, one-level, primitive-equation spectral model, Mon. Weather Rev., 100, 683–689, 1972.; Chang, E.-C. and Hong, S.-Y.: Projected climate change scenario over East Asia by a regional spectral model, J. Korean Earth Sci. Soc., 32, 770–783, 2011.; Chen, Q.-S. and Kuo, Y.-H.: A harmonic-sine series expansion and its application for partitioning and reconstruction problems in a limited area, Mon. Weather Rev., 120, 91–112, 1992.; Chino, M., Nakayama, H....

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Morphological Dynamics of an Englacial Channel : Volume 12, Issue ...

By: T. D. L. Irvine-fynn; G. Vatne

Description: Department of Geography, Norwegian University of Science and Technology (NTNU), 7491 Trondheim, Norway. Despite an interest in the hydraulic functioning of supraglacial and englacial channels over the last four decades, the processes and forms of such ice-bounded streams have remained poorly documented. Recent glaciological research has demonstrated the potential significance of so-called cut and closure streams, where englacial or subglacial flowp...

Abrahams, A. D., Li, G., and Atkinson, J. F.: Step-pool streams: adjustments to maximum flow resistance, Water Resour. Res., 31, 2593–2602, 1995.; Ahlstrøm, A. P.: Previous glaciological activities related to hydropower at Paakitsoq, Ilulissat, West Greenland, Geol. Surv. Den. Greenl., Copenhagen, 43 pp., 2007.; Andrews, L. C., Catania, G. A., Hoffman, M. J., Gulley, J. D., Luthi, M. P., Ryser, C., Hawley, R. L., and Neumann, T. A.: Direct observations of evolving subgla...

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The United States Democratic Review : Volume 0023, Issue 125 Nov 1...

By: J. and H. G. Langley

Description:The United States Magazine and Democratic Review was also (perhaps even primarily) a literary magazine, promoting the development of American literature

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Paradoxist Distiches

By: Florentin Smarandache

The whole paradoxist distich should be as a geometric unitary parabola, hyperbola, ellipse at the borders between art, philosophy, rebus, and mathematics – which exist in complementariness. The School of Paradoxist Literature, which evolved around 1980s, continues through these bi-verses closed in a new lyric exact formula, but with an opening to essence. For this kind of procedural poems one can elaborate mathematical algorithms and implement them in a computer: but, it...

I M M O D E S T With the shame Shamelessness U N D E C I D E D Fighting Himself J A Z Z ( I ) Melodious Anarchy J A Z Z ( I I ) Anarchic Melody

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Rogue Waves and Downshifting in the Presence of Damping : Volume 1...

By: C. M. Schober; A. Islas

Description: Department of Mathematics, University of Central Florida, Orlando, FL, USA. Recently Gramstad and Trulsen derived a new higher order nonlinear Schrödinger (HONLS) equation which is Hamiltonian (Gramstad and Trulsen, 2011). We investigate the effects of dissipation on the development of rogue waves and downshifting by adding an additonal nonlinear damping term and a uniform linear damping term to this new HONLS equation. We find irreversible downshifting...

Islas, A. and Schober, C. M.: Rogue waves, dissipation, and downshifting, Physica D, submitted, 2010.; Ablowitz, M. J., Hammack, J., Henderson, D., and Schober, C. M.: Modulated Periodic Stokes Waves in Deep Water, Phys. Rev. Lett., 84, 887–890, 2000.; Ablowitz, M. J., Hammack, J., Henderson, D., and Schober, C. M.: Long time dynamics of the modulational instability of deep water waves, Physica D, 152–153, 416–433, 2001.; Ablowitz, M. J. and Segur, H.: Solitons and the I...

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Elementary Mechanics and Thermodynamics

By: Professor John W. Norbury

Physics Literature

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Develop Computer Programs for Simplifying Sums That Involve Binomi...

By: Donald E. Knuth

Mathematics document containing theorems and formulas.

Excerpt: Some entries in the hypergeometric database. Using the database. Is there really a hypergeometric database?...

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Workbook 22: Workstation Overview and General Purpose Utilities Tr...

Description: This document contains information regarding topics such as Window Operations, Resizing Windows, and Moving Windows on Your Desktop...

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Assist User Manual: by Sally C. Johnson

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