It has been known for some time that sound is produced by a sound-generating body causing the air to vibrate; Lagrange was the first to subject this motion to mathematical analysis and deduce the principal elements comprising the theory of sound. Geometricians are so familiar with his elegant...
In addition, mathematical images in Western music are expressed musically in the theory of harmony, the theory of rhythm, and the theory of forms. The theory of harmony reveals a fundamental regularity in how sounds are combined simultaneously, how they relate to one another, and how they are...
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accuracy of this mathematics was later tested through investigations,Einstein’s ideas were shown to be correct.A scientist uses many tools for measurements.Then the measurements are used to make mathematical calculations that may test his investigations.A sound scientific theory should be one that (...
As first estimate in this procedure the value ofaccording to the solution of Zwikker and Kosten is taken. Results are presented for a wide range of s and k values. 展开 关键词: Theoretical or Mathematical/ acoustic wave propagation waveguide theory/ propagation of sound waves cylindrical tubes ...
One of Euler's more unusual interests was the application of mathematical ideas in music. In 1739 he wrote the Tentamen novae theoriae musicae, hoping to eventually integrate musical theory as part of mathematics. This part of his work, however, did not receive wide attention and was once de...
A theory is initiated, based on the equations of motion of a gas, for the purpose of estimating the sound radiated from a fluid flow, with rigid boundaries, which as a result of instability contains regular fluctuations or turbulence. The sound field is that which would be produced by a st...
This paper considers the theory of the multiple scattering of waves in extensive random media. The classical theory of wave propagation in random media is ... MS Howe - 《Philosophical Transactions of the Royal Society A Mathematical Physical & Engineering Sciences》 被引量: 17发表: 1973年 加载...
and Pulvirenti, M., Mathematical Theory of Incompressible Nonviscous Fluids, Appl. Math. Sci., vol. 96, New York: Springer, 1994. Google Scholar Weis-Fogh, T., Quick Estimates of Flight Fitness in Hovering Animals, including Novel Mechanisms for Lift Production, J. Exp. Biol., 1974, ...
The above methods are combined with Q-marker to establish safe, effective and scientific TCM theory-related quality evaluation standards and technical methods, and then integrate with mathematical calculation, thus providing new research ideas for quality control. This can ensure good clinical efficacy ...