• Bulletin of the Korean Mathematical Society
• /
• v.50 no.1
• /
• pp.217-231
• /
• 2013

In this paper we establish a Fubini theorem for generalized analytic Feynman integral and $L_1$ generalized analytic Fourier-Feynman transform for the functional of the form $$F(x)=f({\langle}{\alpha}_1,\;x{\rangle},\;{\cdots},\;{\langle}{{\alpha}_m,\;x{\rangle}),$$ where {${\alpha}_1$, ${\cdots}$, ${\alpha}_m$} is an orthonormal set of functions from $L_{a,b}^2[0,T]$. We then obtain several generalized analytic Feynman integration formulas involving generalized analytic Fourier-Feynman transforms.

• Journal of the Korean Mathematical Society
• /
• v.46 no.2
• /
• pp.327-345
• /
• 2009

In this paper, we define generalized Fourier-Hermite functionals on a function space $C_{a,b}[0,\;T]$ to obtain a complete orthonormal set in $L_2(C_{a,b}[0,\;T])$ where $C_{a,b}[0,\;T]$ is a very general function space. We then proceed to give a necessary and sufficient condition that a functional F in $L_2(C_{a,b}[0,\;T])$ has a generalized Fourier-Wiener function space transform ${\cal{F}}_{\sqrt{2},i}(F)$ also belonging to $L_2(C_{a,b}[0,\;T])$.

• Journal of Biomedical Engineering Research
• /
• v.17 no.4
• /
• pp.459-468
• /
• 1996

This paper considers the problem of realising a parallel EMG identifier used in FES (functional electrical stimulation) system on a fixed dimension transputer array. This involves using an identifiestion algorithm in the wavelet transform domain. This algorithm have suggested by the authors in a previous paper(6). The transputer serial links permit higtlly varied and economic network-type connections and the structure enables rapid topological reconfiguration. Analysing the results Showed that the Speed-UPS ranged from 1.82 to 3.44 With 2-4 transputers for corresponding model order, and from 1.82 to 3.97 with increasing the model orders when two and four transputers are used respectively.

• Journal of Information Processing Systems
• /
• v.20 no.3
• /
• pp.399-408
• /
• 2024

The moisture content of crude oil notably affects various aspects of oil production, storage, transportation, and exploration. However, accurately measuring this moisture content is challenging because of numerous influencing factors, leading to a lack of precision in existing detection methods. This inadequacy hinders the progress of China's petroleum industry. To overcome these challenges, this paper proposes a conductivity-based method for measuring crude oil moisture content. By employing an embedded system, we designed a sensor comprising five electrodes. Additionally, we developed signal excitation and signal processing circuits. Moreover, a software program was designed to analyze and compute the output signal using fast Fourier transform operations. This facilitated the identification of flow patterns, computation of relevant flow rates, and establishment of correlation rates based on frequency spectral characteristics. Based on experimental results, we established a functional relationship between measurement parameters and crude oil moisture content. This study enhanced the precision of moisture content measurement, thereby addressing existing limitations and fostering the advancement of China's petroleum industry.

• Journal of Adhesion and Interface
• /
• v.1 no.1
• /
• pp.23-29
• /
• 2000

Surface modification of hydrophobic polymeric materials to be hydrophilic or to have specific functional groups is of great importance for a diversity of applications of the materials. In this study, polyethylene (PE) film surfaces were modified by vapor phase photografting of hydrophilic vinyl monomers with different functional groups. The functional monomers were introduced on PE films by introducing the monomers in vapor phase using a vapor phase photografting apparatus designed by our laboratory. Functional monomers used were acrylic acid (negatively chargeable), acrylamide and allylalcohol (neutral), and allylamine and N,N-dimethyl aminopropyl acryamide (positively charged). The functional monomer-grafted PE film surfaces were characterized by the measurement of water contact angles and the attenuated total reflectance Fourier-transform infrared spectroscopy. The vapor phase photografting seems to be effective means for introduction of various functional groups onto polymeric substrates.

• Journal of Microbiology and Biotechnology
• /
• v.16 no.4
• /
• pp.497-504
• /
• 2006

Glycosides are important functional materials in foods. Transformation, especially hydrolysis, of the sugar moieties tends to improve the functional properties of the administered glycosides in vivo. Various probiotic bacteria and edible food-grade fungi such as bifidobacteria, lactobacilli, leuconostocs, yeasts, and aspergilli are potential industrial microorganisms to transform glycosides of ginsenosides from ginseng, platycodin saponins from Platycodon grandiflorum, Trignoella foenum-graecum (TFG) saponins, and isoflavones from soybeans and Puerariae radix, respectively, by fermentation or enzymatic reaction. In this review, various transformation pathways bearing potential significance with respect to the changes in structure and function of the various glycosides from the food materials will be introduced. In conclusion, the proper combination of food microorganisms and transformation conditions will improve the functionality and the sensory value and reduce the cytotoxicity of the functional glycosides present in various functional food raw materials.

• Proceedings of the IEEK Conference
• /
• 2006.06a
• /
• pp.665-666
• /
• 2006

By adding user interface to the usual router, an improved functional router is implemented In this paper, we design the DWT(Discrete Wavelet Transform) for JPEG2000 CODEC. The DWT is developed based on ARM-based Excalibur, and the system contains DMA processor, Slave interface, DWT filter, Controller. The architecture of the prposed DWT is verified using Altera QuartusII.

• Bulletin of the Korean Chemical Society
• /
• v.27 no.9
• /
• pp.1377-1380
• /
• 2006

The technique of corona-excited supersonic expansion was applied to produce electronically excited but rovibrationally cooled m-tolunitrile. The well-resolved vibronic emission spectrum of the jet-cooled m-tolunitrile in the $S_1\;\rightarrow \;S_0$ transition was recorded in the uv region using a Fourier transform spectrometer equipped with a Quartz-uv beam splitter. From an analysis of the spectrum observed, it was confirmed that the electronic transition and vibrational mode frequencies in the ground electronic state were accurately determined.

• Proceedings of the KIEE Conference
• /
• 2008.09a
• /
• pp.203-206
• /
• 2008

To improve mean-life and reliability of power cable in this study, we have investigated chemical properties showing by changing the content of carbon black that is semiconductive additives for underground power transmission. Specimens were made of sheet form with the three of existing resins and the nine of specimens for measurement. Chemical properties of specimens was measured by FT-ATR (Fourier Transform Attenuated Total Reflectance). The condition of specimens was a solid sheet. We could observe functional group (C=O, carbonyl group) of specimens through FT-ATR. From these experimental result, the concentration of functional group (C=O) was high according to increasing the content of carbon black. We could know EEA was excellent more than other specimens from above experimental results.

• Journal of applied mathematics & informatics
• /
• v.9 no.2
• /
• pp.717-730
• /
• 2002

In this paper we use measure theory to solve a wide range of the nonlinear programming problems. First, we transform a nonlinear programming problem to a classical optimal control problem with no restriction on states and controls. The new problem is modified into one consisting of the minimization of a special linear functional over a set of Radon measures; then we obtain an optimal measure corresponding to functional problem which is then approximated by a finite combination of atomic measures and the problem converted approximately to a finite-dimensional linear programming. Then by the solution of the linear programming problem we obtain the approximate optimal control and then, by the solution of the latter problem we obtain an approximate solution for the original problem. Furthermore, we obtain the path from the initial point to the admissible solution.