15,122 research outputs found
On the denominators of harmonic numbers
Let be the -th harmonic number and let be its denominator. It
is well known that is even for every integer . In this paper, we
study the properties of . One of our results is: the set of positive
integers such that is divisible by the least common multiple of has density one. In particular, for any
positive integer , the set of positive integers such that is
divisible by has density one.Comment: 6 page
Construction of VR/AR Smart Cloud Space based on 5G Network Environment in Education
With the emergence of the “5G+education” era, research on its application is mostly theoretical and lacks practical depth, making application research costly. This study aims to integrate school, third-party enterprises, and other resources to explore the joint building of specific application scenarios for “5G+education” in schools. The 5G VR/AR smart cloud space is a smart education experience scene that combines relevant teaching resources with teaching scenes through cloud rendering using virtual reality technology (VR) and augmented reality technology (AR). The high-speed and low-delay features of the 5G network and the support of cloud rendering technology enable students to experience virtual reality scenes through VR head-mounted displays while in the classroom, enhancing learning engagement. This study explores the application of 5G technology in primary school financial literacy education, studying its impact on environmental construction, resource application, curriculum development, and learning modes. Through theoretical and practical research, this study promotes education informatization development at the school and regional levels, benefiting students and teachers alike
Simultaneous spectrophotometric determination of copper(II), lead(II) and cadrnium(II)
The full spectrum technique in the fourier domain was studied for
simultaneous determination of Cu(II), Pb(II) and Cd(II) with 4-(2-pyridylazo) resorcinol (PAR). A program called SPGRFSQ. was designed to perform the calculations. Seven error functions were calculated for deducing the number of factors. Data reduction was performed using principal component analysis (PCA) algorithm. Experimental results showed the method to be successful even where there was severe overlap of spectra
RF SDR for Wideband PMR
TErrestrial Trunked Radio (TETRA) offers capabilities
equivalent to the second generation of mobile phones with
voice and limited data capabilities. TETRA needs to evolve
to satisfy increasing user demand for new services and
facilities as well as gleaning the benefits of new technology.
An initial enhancement (TETRA Enhanced Data Service,
TEDS) has been agreed. The enhanced TETRA services
allows for more flexibility in the communication modes
used, so as to provide adaptability in applications. We
propose that it is possible to deploy Software Defined Radio
(SDR) technologies into the basestation to economically
provide this level of flexibility and to further extend the
capability of TETRA services by deploying a WiMAX
channel into the proposed TETRA tuning range. Thus
delivering true broadband data service while
simultaneously supporting the original and enhanced
TETRA services
Using SDR to embed wimax channels within the tetra framework
In recent years there has been a move to increase the data
capabilities of TErrestrial Trunked Radio (TETRA) so as to
provide secure broadband data capabilities. An initial
enhancement (TETRA Enhanced Data Service, TEDS) has
been agreed but there is a need to access additional
spectrum. An investigation was carried out by European
Telecommunications Standards Institute (ETSI) has
concluded that a single standardised frequency band cannot
be agreed and the concept of a tuning range for enhanced
TETRA services can be deployed is gaining acceptance. In
addition to needing flexibility in frequency, the enhanced
TETRA services allows for more flexibility in the
communication modes used so as to provide adaptability in
applications. We propose that it is possible to deploy
Software Defined Radio (SDR) technologies into the
basestation to economically provide this level of flexibility, and to further extend the capability of TETRA services by deploying a WiMAX channel into the proposed TETRA tuning range and deliver true broadband data service while simultaneously support the original and enhanced TETRA
services
Quantitative Determination of the Multicomponents With Overlapping Ultraviolet Spectra Using Wavelet-Packed Transform and Partial Least Squares
This paper presented a novel method named wavelet packet transform-based partial
least squares method (WPTPLS) for simultaneous spectrophotometric determination of
α-naphthylamine, p-nitroaniline, and benzidine. Wavelet packet representations of
signals provided a local time-frequency description and separation ability between information
and noise. The quality of the noise removal can be improved by using best-basis algorithm and
thresholding operation. Partial least squares (PLS) method uses both the response and concentration
information to enhance its ability of prediction. In this case, by optimization, wavelet function and
decomposition level for WPTPLS method were selected as Db16 and 3, respectively. The relative
standard errors of prediction (RSEP) for all components with WPTPLS and PLS were 2.23%
and 2.71%, respectively. Experimental results showed WPTPLS method to be successful and
better than PLS
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