A note on the Almost Schur lemma on smooth metric measure spaces

In this paper, we prove almost Schur Lemma on closed smooth metric measure spaces, which implies the results of X. Cheng and De Lellis-Topping whenever the weighted function f is constant.Comment: 15 page

A Micromechanical Parylene Spiral-Tube Sensor and Its Applications of Unpowered Environmental Pressure/Temperature Sensing

A multi-function micromechanical pressure/temperature sensor incorporating a microfabricated parylene spiral tube is presented. Its visible responses in expression of in situ rotational tube deformation enable unpowered sensing directly from optical device observation without electrical or any powered signal transduction. Sensor characterizations show promising pressure (14.46°/kPa sensitivity, 0.11 kPa resolution) and temperature (6.28°/°C sensitivity, 0.24 °C resolution) responses. Depending on different application requests, this sensor can be individually utilized to measure pressure/temperature of systems having one property varying while the other stabilized, such as intraocular or other in vivo pressure sensing of certain apparatus inside human bodies or other biological targets. A straightforward sensor-pair configuration has also been implemented to retrieve the decoupled pressure and temperature readouts, hence ultimately realizes a convenient environmental pressure and temperature sensing in various systems

Floating-disk parylene micro check valve

A novel micro check valve which has nearly ideal fluidic shunting behaviors is presented. Featuring a parylene-based floating disk, this surface-micromachined check valve ultimately realizes both zero forward cracking pressure and zero reverse leakage in fluidic operations. Two different floating disk designs have been implemented to demonstrate functionality of the microvalve. Experimental data of underwater testing successfully show that in-channel floating-disk valves in both designs have great fluidic performance close to an ideal check valve, except the additional fluidic resistance in the order of 10^(13) N-s/m^5 based on dimensions of the fabricated devices. Their pressure loading limit have been confirmed to be higher than 300 kPa without water leakage. This type of micro check valve is believed to have great use of flow control in integrated microfluidics and lab-on-a-chip applications

Nanonewton force generation and detection based on a sensitive torsion pendulum

In this paper, we introduce the experiment based on a sensitive torsion pendulum for measuring and calibrating small forces at nanonewton scale. The force standard for calibration is the universal gravitation between four masses separated by known distances. It is realized by two test masses suspended as the part of torsion pendulum and two source masses on a rotation table. Two force generation mechanisms, optical force from radiation pressure and electrostatic force by capacitive actuation unit, are designed and will be calibrated by the gravitation force. We present our recent results of radiation pressure measurements, and describe the design of capacitive displacement sensing/actuating unit.Comment: This work has been presented on Conference on Precision Electromagnetic Measurements, 8-13 June 2008, Broomfield, Colorad

Anatomy of Geodesic Witten Diagrams

We revisit the so-called "Geodesic Witten Diagrams" (GWDs) \cite{ScalarGWD}, proposed to be the holographic dual configuration of scalar conformal partial waves, from the perspectives of CFT operator product expansions. To this end, we explicitly consider three point GWDs which are natural building blocks of all possible four point GWDs, discuss their gluing procedure through integration over spectral parameter, and this leads us to a direct identification with the integral representation of CFT conformal partial waves. As a main application of this general construction, we consider the holographic dual of the conformal partial waves for external primary operators with spins. Moreover, we consider the closely related "split representation" for the bulk to bulk spinning propagator, to demonstrate how ordinary scalar Witten diagram with arbitrary spin exchange, can be systematically decomposed into scalar GWDs. We also discuss how to generalize to spinning cases.Comment: 40 pages, 4 figures, v2: typos corrected, references added, Appendix E and a Mellin space discussion added, v3: typos correcte

Shared Vision Invention: A Case from the Financial Industry

[[abstract]]To not just survive, but also succeed, in today’s highly competitive global economic marketplace, a shared vision that allows an industry to develop a competitive advantage is required. In Taiwan, the financial industry was once helpful for Taiwanese economic growth, but it has currently lost competitive advantage and now needs support from the government. Although, past research has focused on how to improve the performance of the financial industry, it seems to have ignored the development of shared vision, which results in treating the symptoms, but not the root, of the problem and thus, getting half the result with twice the effort. To address this problem, this study aims to construct critical indices for the Taiwanese financial industry through a Multiple Criteria Decision-Making (MCDM) approach based on the Fuzzy Analytic Hierarchy Process (FAHP) and a Technique for Order Preference by Similarity to Ideal Solution (TOPSIS). Based on these results, Taiwanese banks were advised to create a shared vision that is suitable for future global competition in compliance with the research findings.[[journaltype]]國外[[incitationindex]]SSCI[[booktype]]電子版[[countrycodes]]NG

Towards Spinning Mellin Amplitudes

We construct the Mellin representation of four point conformal correlation function with external primary operators with arbitrary integer spacetime spins, and obtain a natural proposal for spinning Mellin amplitudes. By restricting to the exchange of symmetric traceless primaries, we generalize the Mellin transform for scalar case to introduce discrete Mellin variables for incorporating spin degrees of freedom. Based on the structures about spinning three and four point Witten diagrams, we also obtain a generalization of the Mack polynomial which can be regarded as a natural kinematical polynomial basis for computing spinning Mellin amplitudes using different choices of interaction vertices.Comment: 32 pages, 2 figures, v2: typos corrected, clarification added, references updated, to appear in NP

Analysis and Evaluation of Human Movement based on Laban Movement Analysis

[[abstract]]In the past, in the domain of human movement, athletes, dancers and rehabilitation relied heavily on experts to judge whether or not learners' movements were correct, and offered suggestions for improvement. By way of modern science and technology, analyses via sensors can determine the motion of each body region. Our research is based on the Laban Movement Analysis (LMA) of dance, where data from several sensors are analyzed. According to the aforementioned sensor data, we can examine the efforts made by learners' movements. In this paper, we use LMA sudden and sustained efforts to analyze these movements and construct a guiding language system in accordance with expert guiding language already available. This system will provide suggestions for students even in the absence of expert advice. In this way, learners can learn in such a self-taught way.[[notice]]補正完畢[[incitationindex]]EI[[booktype]]紙

DARTS-ASR: Differentiable Architecture Search for Multilingual Speech Recognition and Adaptation

In previous works, only parameter weights of ASR models are optimized under fixed-topology architecture. However, the design of successful model architecture has always relied on human experience and intuition. Besides, many hyperparameters related to model architecture need to be manually tuned. Therefore in this paper, we propose an ASR approach with efficient gradient-based architecture search, DARTS-ASR. In order to examine the generalizability of DARTS-ASR, we apply our approach not only on many languages to perform monolingual ASR, but also on a multilingual ASR setting. Following previous works, we conducted experiments on a multilingual dataset, IARPA BABEL. The experiment results show that our approach outperformed the baseline fixed-topology architecture by 10.2% and 10.0% relative reduction on character error rates under monolingual and multilingual ASR settings respectively. Furthermore, we perform some analysis on the searched architectures by DARTS-ASR.Comment: Accepted at INTERSPEECH 202