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Titlebook: New Acoustics Based on Metamaterials; Woon Siong Gan Book 2018 Springer Nature Singapore Pte Ltd. 2018 Gauge Invariance.Negative Refractio

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Basic Mechanisms of Sound Propagation in Solids for Negative Materials,manipulation of these three mechanisms and hence the manipulation of the direction of sound propagation in solids. A detailed description of this three mechanisms for the case of negative mass density and negative bulk modulus enabling negative acoustical metamaterial are given.
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Local Resonant Structures,es negative mass density and negative bulk modulus. A detailed description of the physics of local resonance is given. This is followed by several applications and even a list of potential areas under the early stage of development is given.
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Seismic Metamaterials, bending of seismic waves away from the structures. The detailed theory and adaptation to the required situation are given. This is an example of the scaling up the capability of the acoustical metamaterials from nanometre size to building scale.
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e insufficient insurance against recurring food crises. The trading facilities that underpinned this market, in that they were able to rapidly and cheaply move grain to distant consumers, had the potential to turn local food shortages into regional food crises and, in extreme cases, widespread famin
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Woon Siong Ganth and the cells enter stationary phase. During growth the change in the number of viable cells is predominantly the result of cell division. There is little or no detectable cell death during exponential growth as judged by the close correlation between viable counts and total cells observed micros
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