4,418 research outputs found
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
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