Academic literature on the topic 'Hear the shape of a drum'
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Journal articles on the topic "Hear the shape of a drum"
Gordon, Carolyn, David L. Webb, and Scott Wolpert. "One Cannot Hear the Shape of a Drum." Bulletin of the American Mathematical Society 27, no. 1 (July 1, 1992): 134–39. http://dx.doi.org/10.1090/s0273-0979-1992-00289-6.
Full textCIPRA, B. "You Can't Hear the Shape of a Drum." Science 255, no. 5052 (March 27, 1992): 1642–43. http://dx.doi.org/10.1126/science.255.5052.1642.
Full textLAPIDUS, MICHEL L. "FRACTALS AND VIBRATIONS: CAN YOU HEAR THE SHAPE OF A FRACTAL DRUM?" Fractals 03, no. 04 (December 1995): 725–36. http://dx.doi.org/10.1142/s0218348x95000643.
Full textZuluaga, S., and F. Fonseca. "Can’t one really hear the shape of a drum?" Acoustical Physics 57, no. 4 (July 2011): 465–72. http://dx.doi.org/10.1134/s106377101104021x.
Full textAmar, Martien Ben, and Patrício Da Silva. "Can one hear the shape of a smectic drum?" Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 454, no. 1978 (October 8, 1998): 2757–65. http://dx.doi.org/10.1098/rspa.1998.0279.
Full textProtter, M. H. "Can One Hear the Shape of a Drum? Revisited." SIAM Review 29, no. 2 (June 1987): 185–97. http://dx.doi.org/10.1137/1029041.
Full textOkada, Y., A. Shudo, S. Tasaki, and T. Harayama. "‘Can one hear the shape of a drum?’: revisited." Journal of Physics A: Mathematical and General 38, no. 9 (February 17, 2005): L163—L170. http://dx.doi.org/10.1088/0305-4470/38/9/l02.
Full textBari, Naveed S., and Eugenie Hunsicker. "Isospectrality for Orbifold Lens Spaces." Canadian Journal of Mathematics 72, no. 2 (August 27, 2019): 281–325. http://dx.doi.org/10.4153/s0008414x19000178.
Full textBEALS, RICHARD, and PETER C. GREINER. "STRINGS, WAVES, DRUMS: SPECTRA AND INVERSE PROBLEMS." Analysis and Applications 07, no. 02 (April 2009): 131–83. http://dx.doi.org/10.1142/s0219530509001335.
Full textJohnson, Henry. "Chinese toms in the making of the drum kit: Localization and exoticism." Journal of Popular Music Education 5, no. 2 (July 1, 2021): 227–42. http://dx.doi.org/10.1386/jpme_00059_1.
Full textDissertations / Theses on the topic "Hear the shape of a drum"
McCorkle, Tricia Dawn. "Math, music, and membranes: A historical survey of the question "can one hear the shape of a drum"?" CSUSB ScholarWorks, 2005. https://scholarworks.lib.csusb.edu/etd-project/2933.
Full textAdams, Christine. "Can One Hear...? An Exploration Into Inverse Eigenvalue Problems Related to Musical Instruments." Master's thesis, University of Central Florida, 2013. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/5598.
Full textM.S.
Masters
Mathematics
Sciences
Mathematical Science; Industrial Mathematics
Pachón-Morales, John Alexander. "Torrefaction and grinding of lignocellulosic biomass for its thermochemical valorization : influence of pretreatment conditions on powder flow properties." Thesis, Université Paris-Saclay (ComUE), 2019. http://www.theses.fr/2019SACLC051.
Full textGasification of lignocellulosic biomass for production of second-generation biofuels is a promising technology to meet renewable energy needs. However, feeding and handling problems related to the poor flowability of milled biomass considerably hinder the industrial implementation of Biomass-to-Liquid processes. Torrefaction as pretreatment step, in addition to improving energy density of biomass, also affects the properties of the milled particles (namely size and shape) that significantly influence flow behavior. The evaluation of biomass flow characteristics under different flow conditions is essential to design efficient and trouble-free handling solutions.The aim of this work is to assess the effect of the torrefaction and grinding conditions on the biomass flow behavior. A first part consists of an experimental study in which the flow properties of samples torrefied under different intensities were obtained using a ring shear tester. Flowability is correlated to the intensity of torrefaction, as measured by the global mass loss, for two different wood species. Particle shape seems to be the predominant parameter influencing flowability of powders in a consolidated state. Characterization of non-consolidated flowability through avalanching analysis using an in-house rotating drum was also conducted. Correlations between particle characteristics and flow behavior are thus established.The modelling of biomass flow using the Discrete Element Method (DEM) constitutes a second major part of this research. Challenging aspects of biomass particle modeling are their submillimetric size, low density, elongated shape and cohesive behavior. A material DEM model is implemented using a simplified (multisphere) upscaled representation of particle shape, along with a cohesive contact model. A systematic calibration procedure results in an optimal set of DEM parameters. The experimental shear stress evolution and yield locus can then be realistically reproduced. The avalanching behavior of the powders is also well captured by simulations, both qualitatively and quantitatively. These results highlight the potential of DEM simulations to investigate the effect of particle characteristics, which are driven by torrefaction and grinding conditions, on the flow behavior of powdered biomass
Liao, Che-Wei, and 廖哲暐. "A Study on Drum Shape Error in WEDM and the Improvement Strategy." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/93932780319549081994.
Full text國立臺灣大學
機械工程學研究所
98
WEDM is a machining process using thin wire electrodes. Because of the flexibility of the wire electrodes, there would be vertical alignment geometric error left on the machined surface. In most workshop practice, the error is corrected through multiple surface-finishing process, which is not efficient in time and cost.The previous studies over this issue proposed that the vertical alignment geometric error were out of two mechanisms – either vibration of the wire electrodes, or the ineffective of debris removal – both making the uneven distribution of the electoral discharge alone the wire electrodes. In this research, with SKD11 alloy of 60mm in thickness as the workpiece, the influences of the wire electrode tension, the servo voltage, and ignition delay time (Td) over the vertical alignment geometric error were observed, and also in conjunction with the ignition delay time of electrical discharged (Td) in order to figure out the suitable control index for feedback automatic control. It showed that, as the wire electrode tension increased, the influence of the wire vibration diminished, which suppressed the removal of the debris making the uneven distribution of electrical discharges. This research also noted that the vertical alignment geometric error could be categorized into two major types: nearly linear type, and irregular type. Different types of the error were attributed to two factors – the flow of debris removal, and the width of discharged gap – which reflected to different normal discharge ratios. Under the adequate normal discharge ratio, the vertical alignment geometric error would be much reduced. Based on the finding stated above, a clean-cut feedback control strategy was proposed in this research. Under the machining setting of servo feeding (G95), the normal discharge ratio was used as the control index to change the discharge off-time for the feedback control. Through on-site experiments, it was proved that, under the machining condition setting of this research, the vertical alignment geometric error could be much decreased with the normal discharge ratio of 40%. For workpiece of 60mm in thickness, the geometric error decreased from 6μm to nearly zero. For workpiece of 80mm in thickness, the geometric error decreased from 11μm to 2μm.
Su, Hsin-Cheng, and 蘇信政. "Study to Improve Drum Shape Error in Rough Cutting of Wire-EDM." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/75782783845821137557.
Full text國立臺灣大學
機械工程學研究所
97
Wire electrical discharge machining (Wire-EDM) is an essential material removal process in die and mold making and precision machining. This is because Wire-EDM provides the best alternative or sometimes the only alternative for machining conductive, exotic and high strength and temperature resistive (HSTR) materials with the scope of generating intricate shapes and profiles. However, it usually results in the drum shape along vertical axis (bowing) of the machined part. Several subsequent finishing cuts are needed to remove this inaccurate part so that the required dimensional tolerance is satisfied. A too large bowing will need more finishing cuts, which in turn increases machining time and cost. It also makes process planning of the allowance in advance more difficult. In the most serious case, re-do of the machined part all over again is needed. There have been very few studies on the bowing of the wire-cut machined part so far. The purpose is to find out the reason why the drum shape machined workpiece is formed, and the factors that would affect its magnitude. The effect of the vibration of wire on drum shape error is studied. The experimental results show that the drum shape machined workpiece is formed mainly due to the dielectric fluid flow and debris distribution in the machining gap. There is positive relationship of the location distribution of discharge with drum shape error. Also, the behaviour of the wire vibration observed by high speed camera. The objectives of this thesis are to investigate the relationship between the machining parameters and the characteristic of WEDM. The objectives of this dissertation are to investigate if there are significant parameters affecting barrel shape machined part (drum shape error), and to develop a mathematical model to predict drum shape error. Based on the Taguchi Quality design and the analysis of variance, it is found that comparatively workpiece thickness and ignition on time play more important roles. But statistically there is no significant factor affecting drum shape error. The size of the barrel is the result of cross effect of machining parameters. Based on this finding, the neural network with genetic algorithms to find the optimal operation machined was adopted and a model related the drum shape error and machining parameters was established. Experimental results show that the predicted error is less than 6%. By using this model the amount of drum shape error at rough machining stage can be accurately predicted, and applied for process planning of Wire-EDM. Incorporating the machining settings adjustment principles with the developed model, it is also found that the drum shape error can be reduced from 40μm to around 10μm. Thus, part with less amount of drum shape error and a better straightness 6 μm can be obtained.
Books on the topic "Hear the shape of a drum"
Schindler, Susanne. "Can one hear the shape of a drum?": Considerations of the inverse eigenvalue problem. Oxford: Oxford Brookes University, 2000.
Find full textShape Beats: Drum Notation Simplified. Independently Published, 2020.
Find full textKudrolli, A. A. Hear the Shape of Misery? Minerva Press, 1996.
Find full textBarry, Brent M. I Want to Hear the Beat of the Drum. PublishAmerica, 2003.
Find full textSharp, Thom. I Can Hear YA Knockin' for String Orchestra and Drum Set. Latham Music, Ltd., 2009.
Find full textGraves, Susan Elaine. Can't You Hear the Howl?: A Shape Shifter Series: A Collection of Freestyle, Poetry, Prose: A Series with Each Relating to the Next, Creating a Fantasy Love Story with a Curse (A Shape Shifter Series). PublishAmerica, 2006.
Find full textFigone, Albert J. Do No Evil, See No Evil, and Hear No Evil. University of Illinois Press, 2017. http://dx.doi.org/10.5406/illinois/9780252037283.003.0004.
Full textLiddy, Christian D. Communication. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198705208.003.0005.
Full textDe Souza, Jonathan. Horns To Be Heard. Oxford University Press, 2017. http://dx.doi.org/10.1093/acprof:oso/9780190271114.003.0007.
Full textMansell, James G. National Acoustics. University of Illinois Press, 2017. http://dx.doi.org/10.5406/illinois/9780252040672.003.0005.
Full textBook chapters on the topic "Hear the shape of a drum"
Lapidus, Michel L. "Can One Hear the Shape of a Fractal Drum? Partial Resolution of the Weyl-Berry Conjecture." In Mathematical Sciences Research Institute Publications, 119–26. New York, NY: Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4613-9711-3_13.
Full textNursultanov, Medet, Julie Rowlett, and David Sher. "How to Hear the Corners of a Drum." In 2017 MATRIX Annals, 243–78. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-04161-8_18.
Full textGordon, Carolyn S. "You Can’t Hear the Shape of a Manifold." In New Developments in Lie Theory and Their Applications, 129–46. Boston, MA: Birkhäuser Boston, 1992. http://dx.doi.org/10.1007/978-1-4612-2978-0_7.
Full textBratteli, Ola, and Palle Jorgensen. "Can you hear the shape of a wavelet?" In Applied and Numerical Harmonic Analysis, 147–202. Boston, MA: Birkhäuser Boston, 2002. http://dx.doi.org/10.1007/978-0-8176-8144-9_3.
Full textFujiwara, Koji. "Can One Hear the Shape of a Group?" In Springer Proceedings in Mathematics & Statistics, 139–46. Tokyo: Springer Japan, 2016. http://dx.doi.org/10.1007/978-4-431-56021-0_7.
Full textGraham, Ron, and Kevin O’Bryant. "Can You Hear the Shape of a Beatty Sequence?" In Additive Number Theory, 39–52. New York, NY: Springer New York, 2010. http://dx.doi.org/10.1007/978-0-387-68361-4_3.
Full textHettich, Katja. "Can You Hear the Love Tonight? Creating Cinematic Romance with Diegetic Songs." In When Music Takes Over in Film, 203–24. Cham: Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-030-89155-8_11.
Full textSandul, Amy L., and Veda B. Moore. "Harm Reduction: Tipping the Balance Toward Treatment and Recovery." In Public Health Ethics Analysis, 141–52. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-92080-7_10.
Full textEarl, Richard. "I’ll name that tune in…" In Mathematical Analysis: A Very Short Introduction, 112–29. Oxford University PressOxford, 2023. http://dx.doi.org/10.1093/actrade/9780198868910.003.0006.
Full textPratama, Onny Nur. "The Meaning of the Deer Representation on Dambus from Bangka Island." In Wie wir leben wollen. Kompendium zu Technikfolgen von Digitalisierung, Vernetzung und Künstlicher Intelligenz, 229–38. Logos Verlag Berlin, 2021. http://dx.doi.org/10.30819/5319.18.
Full textConference papers on the topic "Hear the shape of a drum"
Ma, Qin. "Analogy Between Transient Heat Conduction and Dissolution of Solid Particles in Liquids Based on the Shrinking Core Model." In ASME 2017 Heat Transfer Summer Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/ht2017-5009.
Full textARRIGHETTI, W., and G. GEROSA. "CAN YOU HEAR THE FRACTAL DIMENSION OF A DRUM?" In Proceedings of the 7th Conference. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701817_0007.
Full textHerz, Fabian, Yogesh Sonavane, and Eckehard Specht. "Analysis of Local Heat Transfer in Direct Fired Rotary Kilns." In 2010 14th International Heat Transfer Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ihtc14-22086.
Full textCosmo, Luca, Mikhail Panine, Arianna Rampini, Maks Ovsjanikov, Michael M. Bronstein, and Rodola Rodola. "Isospectralization, or How to Hear Shape, Style, and Correspondence." In 2019 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2019. http://dx.doi.org/10.1109/cvpr.2019.00771.
Full textShih, Oliver, and Anthony Rowe. "Can a phone hear the shape of a room?" In IPSN '19: The 18th International Conference on Information Processing in Sensor Networks. New York, NY, USA: ACM, 2019. http://dx.doi.org/10.1145/3302506.3310407.
Full textHultén, Johan, John Flint, and Thomas Nellemose. "Mode Shape of a Squealing Drum Brake." In SAE Noise and Vibration Conference and Exposition. 400 Commonwealth Drive, Warrendale, PA, United States: SAE International, 1997. http://dx.doi.org/10.4271/972028.
Full textNguyen, Linh, Jaime Valls Miro, and Xiaojun Qiu. "Can a Robot Hear the Shape and Dimensions of a Room?" In 2019 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS). IEEE, 2019. http://dx.doi.org/10.1109/iros40897.2019.8968612.
Full textMATSUMOTO, WAICHIRO, Minoru Murai, and Shoji Yotsutani. "ONE CAN HEAR THE SHAPES OF SOME NON-CONVEX DRUMS." In Proceedings of the 5th International ISAAC Congress. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812835635_0083.
Full textDokmanic, Ivan, Yue M. Lu, and Martin Vetterli. "Can one hear the shape of a room: The 2-D polygonal case." In ICASSP 2011 - 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2011. http://dx.doi.org/10.1109/icassp.2011.5946405.
Full textScire` Mammano, Giovanni, and Eugenio Dragoni. "Modelling of Wire-on-Drum Shape Memory Actuators for Linear and Rotary Motion." In ASME 2010 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. ASMEDC, 2010. http://dx.doi.org/10.1115/smasis2010-3616.
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