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Search Results: 1 - 10 of 224631 matches for " Chen H "
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Symmetric Identities from an Invariant in Partition Conjugation and Their Applications in q-Series  [PDF]
Sandy H. L. Chen
Open Journal of Discrete Mathematics (OJDM) , 2014, DOI: 10.4236/ojdm.2014.42006

For every partition \"\" and its conjugation \"\", there is an important invariant \"\" \"\", which denotes the number of different parts. That is \"\", . We will derive a series of symmetric q-identities from the invariant in partition conjugation by studying modified Durfee rectangles. The extensive applications of the several symmetric q-identities in q-series  [1] will also be discussed. Without too much effort one can obtain much well-known knowledge as well as new formulas by proper substitutions and elementary calculations, such as symmetric identities, mock theta functions, a two-variable reciprocity theorem, identities from Ramanujan’s Lost Notebook and so on.

An Application of Heterogeneous Bayesian Regression Models with Time Varying Coefficients to Explore the Relationship between Customer Satisfaction and Shareholder Value  [PDF]
Duncan K. H. Fong, Qian Chen, Zhe Chen, Rui Wang
Open Journal of Statistics (OJS) , 2017, DOI: 10.4236/ojs.2017.71004
Abstract: The authors propose new Bayesian models to obtain individual-level and time-varying regression coefficients in longitudinal data involving a single observation per response unit at each time period. An application to explore the association between customer satisfaction and shareholder value is included in the paper. The Bayesian models allow the flexibility of incorporating industry and firm factors in the context of the application to help explain variations of the regression coefficients. Results from the analysis indicate that the effect of customer satisfaction on shareholder value is not homogeneous over time. The proposed methodology provides a powerful tool to explore the relationship between two important business concepts.
Modal Resistance of Spiral Antenna  [PDF]
Teng-Kai Chen, Gregory H. Huff
Journal of Electromagnetic Analysis and Applications (JEMAA) , 2013, DOI: 10.4236/jemaa.2013.55036

This paper proposes a quasi-static conformal mapping analysis to analytically evaluate the input resistance of Archimedean spiral antenna at its radiation region. The deviation from the original constructs of band theory for two-wire spiral antennas leads to the concept of common slot-line mode radiation. The per-unit-length capacitance and the characteristic impedance of the quasi-TEM fundamental propagating mode in periodic coplanar waveguide (PCPW) structure are obtained in terms of spiral parameters including substrate properties. This formula enables little computational effort on the computation of input resistance at the radiation mode of balanced-excited two-arm Archimedean spiral antennas. The numerical simulation demonstrates the accuracy of derived formulas both in free space and when a dielectric layer is presented.

Ultrasound Imaging of Spinal Vertebrae to Study Scoliosis  [PDF]
Wei Chen, Lawrence H. Le, Edmond H.M. Lou
Open Journal of Acoustics (OJA) , 2012, DOI: 10.4236/oja.2012.23011
Abstract: Scoliosis is a musculoskeletal disorder manifested as a three-dimensional spinal deformity. It affects 2% - 3% of the adolescent population. The conventional method to diagnose scoliosis is to measure the Cobb angle from posteroante-rior radiograph. Since radiation exposure is not desirable for patients, other non-ionizing methods have been explored. Among all the non-ionization methods, ultrasound (US) is a potential cost-effective method. However, our understand-ing of US interaction with the vertebrae or the spine is limited. The purpose of this study was to demonstrate the ability of US to identify bony landmarks for measuring spinal deformity. This study used a phased array US system with a 5 MHz transducer and a position encoder. In-vitro experiment on a cadaver vertebra and a pilot clinical study were carried out. The in-vitro experimental results showed that the lamina and spinous process were strong reflectors from the single vertebra. Less than 4% of error occurred on the dimension measurements. The pilot study was performed on a healthy subject and a scoliotic patient. The results indicated the lamina and spinous process could be identified and the curvature of the spine could be estimated using the reflectors. The difference of the curvature angle of the spine measured from the radiograph and the US images was 2?. These results have illustrated that US is a promising tool to measure curvature of spinal deformity and study scoliosis.
Performance Characteristics of SALiM Isolator
H. Teng,Q. Chen
Lecture Notes in Engineering and Computer Science , 2009,
DC and AC Characteristics of GaAs/InGaAs/AIGaAS Real Space Transfer Transistors
H. C. Chen
Active and Passive Electronic Components , 1998, DOI: 10.1155/1998/95230
N-Channel InGaAs Quantum Well Lasing Thyristor (QWLT) Prepared by Molecular Beam Epitaxy
H. C. Chen
Active and Passive Electronic Components , 1998, DOI: 10.1155/1998/48934
Surface deformation detected by the space-observed small baseline SAR interferometry over permafrost environment in Tibet Plateau, China
F. Chen,H. Lin
The Cryosphere Discussions , 2012, DOI: 10.5194/tcd-6-4071-2012
Abstract: The evolution of permafrost and the active layer is highly related to climate change because of its feedback effects involving water and carbon storage. In this study, we firstly examined the relationship of regional water balance, geomorphological process and anthropogenic activities by means of Small Baseline Synthetic Aperture Radar Interferometry (SB-InSAR) to monitor the surface movements overlaid on the permafrost of Tibet Plateau (TP), China, using 3.5-yr observation span of L-band ALOS PALSAR data (June, 2007 to December, 2010). The estimated displacements (primarily in the range of 30 mm yr 1 to 30 mm yr 1) and time-series implied evolutions of the active layer and permafrost beneath. The motion trend along slopes was complicated, and thus interdisciplinary interpretations were required. Water level variations of inland lakes were then detected, although further investigations were required for validation. Anthropogenic influences on this frail permafrost environment were significant, proved by the remarkable surface settlement along the embankment of Qinghai-Tibet Railway. Consequently, it is crucial and necessary to monitor this arid and cold plateau owing to the combination of climate change, geo-hazards prediction as well as the regional sustainable development.
System size and energy dependence of $φ$ meson production at RHIC
J. H. Chen
Physics , 2008, DOI: 10.1088/0954-3899/35/10/104053
Abstract: We present a system size and energy dependence of $\phi$ meson production in Cu+Cu and Au+Au collisions at $\sqrt{s_{NN}}$=62.4 GeV and 200 GeV measured by the STAR experiment at RHIC. We find that the number of participant scaled $\phi$ meson yields in heavy ion collisions over that of p+p collisions are larger than 1 and increase with collision energy. We compare the results with those of open-strange particles and discuss the physics implication.
Kerr-Schild Structure and Harmonic 2-forms on (A)dS-Kerr-NUT Metrics
W. Chen,H. Lu
Physics , 2007, DOI: 10.1016/j.physletb.2007.09.066
Abstract: We demonstrate that the general (A)dS-Kerr-NUT solutions in D dimensions with ([D/2], [(D+1)/2]) signature admit [D/2] linearly-independent, mutually-orthogonal and affinely-parameterised null geodesic congruences. This enables us to write the metrics in a multi-Kerr-Schild form, where the mass and all of the NUT parameters enter the metrics linearly. In the case of D=2n, we also obtain n harmonic 2-forms, which can be viewed as charged (A)dS-Kerr-NUT solution at the linear level of small-charge expansion, for the higher-dimensional Einstein-Maxwell theories. In the BPS limit, these 2-forms reduce to n-1 linearly-independent ones, whilst the resulting Calabi-Yau metric acquires a Kahler 2-form, leaving the total number the same.
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