• Title/Summary/Keyword: property ($W_{\Pi}$)

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NEW BROWDER AND WEYL TYPE THEOREMS

  • Berkani, Mohammed;Kachad, Mohammed
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.2
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    • pp.439-452
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    • 2015
  • In this paper we introduce and study the new properties ($W_{\Pi}$), ($UW_{{\Pi}_a}$), ($UW_E$) and ($UW_{\Pi}$). The main goal of this paper is to study relationship between these new properties and other Weyl type theorems. Moreover, we reconsider several earlier results obtained respectively in [11], [18], [14], [1] and [13] for which we give stronger versions.

WHICH WEIGHTED SHIFTS ARE FLAT ?

  • SHEN, HAILONG;LI, CHUNJI
    • Journal of applied mathematics & informatics
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    • v.38 no.5_6
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    • pp.579-590
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    • 2020
  • The flatness property of a unilateral weighted shifts is important to study the gaps between subnormality and hyponormality. In this paper, we first summerize the results on the flatness for some special kinds of a weighted shifts. And then, we consider the flatness property for a local-cubically hyponormal weighted shifts, which was introduced in [2]. Let α : ${\sqrt{\frac{2}{3}}}$, ${\sqrt{\frac{2}{3}}}$, $\{{\sqrt{\frac{n+1}{n+2}}}\}^{\infty}_{n=2}$ and let Wα be the associated weighted shift. We prove that Wα is a local-cubically hyponormal weighted shift Wα of order ${\theta}={\frac{\pi}{4}}$ by numerical calculation.

Effects of Preservative Containing Chitosan on the Shelf Life of Pork Patty (Chitosan이 함유된 보존제의 첨가가 돈육 Patty의 저장에 미치는 효과)

  • Park, La-Young;Jeong, Eun-Ju;Lee, Shin-Ho
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.42 no.9
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    • pp.1446-1451
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    • 2013
  • The quality characteristics of pork patty prepared with chitosan containing preservatives during storage at $4^{\circ}C$ were investigated to improve its functional property and shelf life using food preservatives of natural origin (PI; 0.1% chitosan, 2.5% citric acid, 100 ppm grapefruit seed extract, 0.2% adipic acid, 0.1% Cinnamomum extract, D.W. 97.09% and PII; 0.1% chitosan, 2.5% citric acid, 100 ppm grapefruit seed extract, 0.2% adipic acid, 0.1% Lysimachia christinae Hance extract, D.W. 97.09%). The sensory qualities (taste, appearance, texture and overall acceptability) of patties preserved with PI (1, 3 and 5%) and PII (1, 3 and 5%) were also investigated. The taste and overall acceptability of patties prepared with 1% PI and 1% PII were higher than those of the control. The DPPH radical scavenging activities of the control, 1% PI and 1% PII treated patties were 13.54%, 21.78% and 14.07%, respectively. The total aerobes and coliform count of patties preserved with 1% PI were $10^4$ CFU/g and $10^2$ CFU/g, respectively, after 10 days storage at $4^{\circ}C$. Cooking loss from 1% PI and 1% PII treated patties was lower than that of from the control. Water holding capacity was the highest for 1% PI (65.84%), followed by 1% PII and then the control. The shelf life of patties prepared with 1% PI and 1% PII was extended by about 5 days relative to the control at $4^{\circ}C$.

GEOMETRIC RANK AND THE TUCKER PROPERTY

  • Otera, Daniele Ettore
    • Journal of the Korean Mathematical Society
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    • v.54 no.3
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    • pp.807-820
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    • 2017
  • An open smooth manifold is said of finite geometric rank if it admits a handlebody decomposition with a finite number of 1-handles. We prove that, if there exists a proper submanifold $W^{n+3}$ of finite geometric rank between an open 3-manifold $V^3$ and its stabilization $V^3{\times}B^n$(where $B^n$ denotes the standard n-ball), then the manifold $V^3$ has the Tucker property. This means that for any compact submanifold $C{\subset}V^3$, the fundamental group ${\pi}_1(V^3-C)$ is finitely generated. In the irreducible case this implies that $V^3$ has a well-behaved compactification.

RINGS WITH A RIGHT DUO FACTOR RING BY AN IDEAL CONTAINED IN THE CENTER

  • Cheon, Jeoung Soo;Kwak, Tai Keun;Lee, Yang;Piao, Zhelin;Yun, Sang Jo
    • Bulletin of the Korean Mathematical Society
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    • v.59 no.3
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    • pp.529-545
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    • 2022
  • This article concerns a ring property that arises from combining one-sided duo factor rings and centers. A ring R is called right CIFD if R/I is right duo by some proper ideal I of R such that I is contained in the center of R. We first see that this property is seated between right duo and right π-duo, and not left-right symmetric. We prove, for a right CIFD ring R, that W(R) coincides with the set of all nilpotent elements of R; that R/P is a right duo domain for every minimal prime ideal P of R; that R/W(R) is strongly right bounded; and that every prime ideal of R is maximal if and only if R/W(R) is strongly regular, where W(R) is the Wedderburn radical of R. It is also proved that a ring R is commutative if and only if D3(R) is right CIFD, where D3(R) is the ring of 3 by 3 upper triangular matrices over R whose diagonals are equal. Furthermore, we show that the right CIFD property does not pass to polynomial rings, and that the polynomial ring over a ring R is right CIFD if and only if R/I is commutative by a proper ideal I of R contained in the center of R.

Biological and Physicochemical Properties of Canine Parvovirus lated from the Dogs with Diarrhea (설사증 나환견으로 부터 분리한 Canine Parvovirus의 성상에 관한 연구)

  • 최해연;정운선;전무형;박성국;민원기
    • Korean Journal of Veterinary Service
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    • v.13 no.2
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    • pp.162-183
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    • 1990
  • From 1988 to 1989, 8 strains of canine parvovirus-2 (CPV-2) were isolated from the fecal specimens from the dogs that were clinically diagnosed as canine parvoviral enteritis in the veterinary hospitals located in the regions of Taejon and Chungbuk province. Studios on biological and physicochemical properties for the isolates were carried out. The results obtained by experiments are summarized as follows. 1. Among 62 fecal samples collected from the dogs with enteric diseases, 24 (38.7%) showed the haemagglutinating activity against porcine erythrocyte, ranging from 16 to 16, 384 of HA titers. 2. When 8 fecal specimens with high HA titer over 1, 000 were inocultated into CRFX cells, intranuclear inclusion bodies were obseverd in all of eight specimens, of w)lick three specimens showed cytoplasmic inclusions concurrently with the intranuclear inclusion bodies. 3. In study on species-specificity of haemagglutinating activity of the isolates, TJ-89-1 and TJ-89-2, it was found that the isolates revealed the highest haemagglutinating activity with porcine erythrocytes, showing the relatively lower haemagglutination titers with the erythrocytes from cat and rabbit. None of erythrocytes from other animals reacted with the isolates. 4. By the cross-haemagglutination inhibition test of the Isolates with reference viruses and sera, the Isolates were evidently identified as the strains of canine parvovirus-2. 5. In Physicochemical property test, it was evident that the isolates were stable in, lipid solvent, pH and heat treatment at $56^{\circ}C$ for 30 min. and contain DNA genome. 6. When seven puppies were inoculated intraorally with the isolate at HA titer of 8, 192, all of the puppies showed the symptoms of anorexia, vomiting, diarrhea and died at the 5th to 10th days post inoculation(pi). The fecal samples from all of the puppies revealed significantly high HA titers afterward the 5th days pi. Body temperature and the number of total leucocytes were slightly increased at the early stage of infection. but extremely decreased at the stage of collapse. HI titers of the sera started to increase at the 2nd to 3rd days pi reaching 512 to 1, 024 at the 4th to 5th day pi.

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Effect of coarse aggregates and sand contents on workability and static stability of self-compacting concrete

  • Mohamed, Sahraoui;Taye, Bouziani
    • Advances in concrete construction
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    • v.7 no.2
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    • pp.97-105
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    • 2019
  • In this paper, the workability and static stability were evaluated using a proposed test method. Workability and static stability represent a key property of self-compacting concrete (SCC) in fresh state. A number of standardized test methods were developed to assess these properties. However, no accelerated test method reliably predicts both workability and static stability of SCC. In the present work, a modified K-slump test method was developed to evaluate workability and static stability of SCC. In order to take implicit mixture variations of SCC constituents that can affect fresh SCC properties, a central composite design was adopted to highlight the effect of gravel to sand ratio (G/S), gravel 3/8 to gravel 8/15 ratio (G1/G2), water to cement ratio (W/C), marble powder to cement ratio (MP/C) and superplasticizer content (SP) on workability measured with slump and flow time (T50) tests and static stability measured with sieve stability test (Pi), segregation test index (SSI), Penetration test (Pd) and the proposed K-slump test (Km). The obtained results show that G/S ratio close to 1 and G1/G2 ratio close to 60% can be considered as optimal values to achieve a good workability while ensuring a sufficient static stability of SCC. Acceptable relationships were obtained between Slump flow, Pi, Pd and Km. Results show that the proposed K-slump test allow to assess both workability and static stability of fresh SCC mixtures.

A practial design of direct digital frequency synthesizer with multi-ROM configuration (병렬 구조의 직접 디지털 주파수 합성기의 설계)

  • 이종선;김대용;유영갑
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.21 no.12
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    • pp.3235-3245
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    • 1996
  • A DDFS(Direct Digital Frequency Synthesizer) used in spread spectrum communication systems must need fast switching speed, high resolution(the step size of the synthesizer), small size and low power. The chip has been designed with four parallel sine look-up table to achieve four times throughput of a single DDFS. To achieve a high processing speed DDFS chip, a 24-bit pipelined CMOS technique has been applied to the phase accumulator design. To reduce the size of the ROM, each sine ROM of the DDFS is stored 0-.pi./2 sine wave data by taking advantage of the fact that only one quadrant of the sine needs to be stored, since the sine the sine has symmetric property. And the 8 bit of phase accumulator's output are used as ROM addresses, and the 2 MSBs control the quadrants to synthesis the sine wave. To compensate the spectrum purity ty phase truncation, the DDFS use a noise shaper that structure like a phase accumlator. The system input clock is divided clock, 1/2*clock, and 1/4*clock. and the system use a low frequency(1/4*clock) except MUX block, so reduce the power consumption. A 107MHz DDFS(Direct Digital Frequency Synthesizer) implemented using 0.8.mu.m CMOS gate array technologies is presented. The synthesizer covers a bandwidth from DC to 26.5MHz in steps of 1.48Hz with a switching speed of 0.5.mu.s and a turing latency of 55 clock cycles. The DDFS synthesizes 10 bit sine waveforms with a spectral purity of -65dBc. Power consumption is 276.5mW at 40MHz and 5V.

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Relationship between Magnetic and Mechanical Properties of Cermet Tools (절삭공구용 서멧의 자기적 특성과 기계적 성질의 관계)

  • Ahn, Dong-Gil;Lee, Jeong-Hee
    • Journal of the Korean Society for Nondestructive Testing
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    • v.20 no.3
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    • pp.231-237
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    • 2000
  • The commercial cermet cutting tools consist of multi-carbide and a binder metal of iron group, such as cobalt and nickel which are ferromagnetic. In this paper, a new approach to evaluate the mechanical properties of TiCN based cermet by magnetic properties were studied in relation to binder content and sintering conditions. The experimental cermet was prepared using commercial composition with the other binder contents by PM process. It was found that the magnetic properties of the sintered cermets remarkably depended on the microstructure and the total carbon content. The magnetic saturation was proportional to increment of coercive force. At high carbon content in sintered cermet, the magnetic saturation was increased by decreasing the concentration of solutes such as W, Mo, Ti in Co-Ni binder. As the coercive force increases, the hardness usually increases. The strength and toughness of the cermet also increased with increasing the magnetic saturation. The measurement of magnetic properties made it possible to evaluate the mechanical properties in the cermet cutting tools.

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