• The Pure and Applied Mathematics
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• v.26 no.1
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• pp.35-47
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• 2019

The purpose of this paper is to introduce and study new notions of continuity, compactness and stability in ditopological texture spaces based on the notions of ${\beta}$-g-open and ${\beta}$-g-closed sets and some of their characterizations are obtained. Finally, the relationships between these concepts and the other related concepts are investigated.

• East Asian mathematical journal
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• v.26 no.1
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• pp.1-8
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• 2010

In this paper the concepts of somewhat fuzzy almost $\alpha$-irresolute functions and strongly somewhat fuzzy $\beta$-open functions are introduced and studied. Besides giving characterizations of these functions, some interesting properties of these functions are also given.

• The Pure and Applied Mathematics
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• v.10 no.4
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• pp.265-271
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• 2003

Let $CS_\alpha(\beta)$ denote the class of normalized strongly $\alpha$-close-to-convex functions of order $\beta$, defined in the open unit disk $\cal{U}$ of $\mathbb{C}$${\mid}arg{(1-{\alpha})\frac{f(z)}{g(z)}+{\alpha}\frac{zf'(z)}{g(z)}}{\mid}\;\leq\frac{\pi}{2}{\beta}(\alpha,\beta\geq0)$ such that $g\; \in\;S^{\ask}$, the class of normalized starlike unctions. In this paper, we obtain the sharp Fekete-Szego inequalities for functions belonging to $CS_\alpha(\beta)$.

• East Asian mathematical journal
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• v.21 no.2
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• pp.233-240
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• 2005

Let $CS^{\alpha}(\beta)$ denote the class of normalized strongly $\alpha$-logarithmic close-to-convex functions of order $\beta$, defined in the open unit disk $\mathbb{U}$ by $$\|arg\{\(\frac{f(z)}{g(z)}\)^{1-\alpha}\(\frac{zf'(z)}{g(z)\)^{\alpha}\}\|\leq\frac{\pi}{2}\beta,\;(\alpha,\beta\geq0)$$ where $g{\in}S^*$ the class of normalized starlike functions. In this paper, we prove sharp $Fekete-Szeg\"{o}$ inequalities for functions $f{\in}CS^{\alpha}(\beta)$.

• The Mathematical Education
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• v.16 no.2
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• pp.22-26
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• 1978

It is shown that a map having an extension to an open map between the Alex-androff base compactifications of its domain and range has a unique such extension. J.S. Wasileski has introduced the Alexandroff base compactifications of Hausdorff spaces endowed with Alexandroff bases. We introduce a definition of morphism between such spaces to obtain a category which we denote by ABC. We prove that the Alexandroff base compactification on objects can be extended to a functor on ABC and that the compact objects give an epireflective subcategory of ABC. For each topological space X there exists a completely regular space $\alpha$X and a surjective continuous function $\alpha$$_{x}$ : Xlongrightarrow$\alpha$X such that for each completely regular space Z and g$\in$C (X, Z) there exists a unique g$\in$C($\alpha$X, 2) with g=g$^{\circ}$$\beta$$_{x}$. Such a pair ($\alpha$$_{x}$, $\alpha$X) is called a completely regularization of X. Let TOP be the category of topological spaces and continuous functions and let CREG be the category of completely regular spaces and continuous functions. The functor $\alpha$ : TOPlongrightarrowCREG is a completely regular reflection functor. For each topological space X there exists a compact Hausdorff space $\beta$X and a dense continuous function $\beta$x : Xlongrightarrow$\beta$X such that for each compact Hausdorff space K and g$\in$C (X, K) there exists a uniqueg$\in$C($\beta$X, K) with g=g$^{\circ}$$\beta$$_{x}$. Such a pair ($\beta$$_{x}$, $\beta$X) is called a Stone-Cech compactification of X. Let COMPT$_2$ be the category of compact Hausdorff spaces and continuous functions. The functor $\beta$ : TOPlongrightarrowCOMPT$_2$ is a compact reflection functor. For each topological space X there exists a realcompact space (equation omitted) and a dense continuous function (equation omitted) such that for each realcompact space Z and g$\in$C(X, 2) there exists a unique g$\in$C (equation omitted) with g=g$^{\circ}$(equation omitted). Such a pair (equation omitted) is called a Hewitt's realcompactification of X. Let RCOM be the category of realcompact spaces and continuous functions. The functor (equation omitted) : TOPlongrightarrowRCOM is a realcompact refection functor. In [2], D. Harris established the existence of a category of spaces and maps on which the Wallman compactification is an epirefiective functor. H. L. Bentley and S. A. Naimpally [1] generalized the result of Harris concerning the functorial properties of the Wallman compactification of a T$_1$-space. J. S. Wasileski [5] constructed a new compactification called Alexandroff base compactification. In order to fix our notations and for the sake of convenience. we begin with recalling reflection and Alexandroff base compactification.

• Journal of the East Asian Society of Dietary Life
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• v.24 no.3
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• pp.359-367
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• 2014

This study analyzed phytochemicals, including various carotenoids, tocopherol and L-ascorbic acid, in green, yellow and orange paprikas (GP, YP and OP) and measured the preventive effects of lipophilic extracts from different colored paprikas on the blockage of gap junctional intercellular communication (GJIC), which is known as a cellular event associated with tumor promotion. Main carotenoids were lutein and ${\beta}$-carotene in GP, lutein, ${\beta}$-carotene, capsanthin, violaxanthin, ${\beta}$-carotene and capsorubin in YP, and lutein, ${\beta}$-carotene, cryptoxanthin and zeaxanthin in OP. Total carotenoid contents were $65.54{\pm}15.87$ mg/100 g dw in OP, $11.98{\pm}0.69$ mg/100 g dw in YP and $10.30{\pm}1.43$ mg/100 g dw in GP. Tocopherol contents were highest in GP compared with in YP and OP, whereas L-ascorbic acid contents were very high in all paprikas. We determined the non-cytotoxic levels of paprika extracts by MTT assay, which showed less formation of reactive oxygen species (ROS) induced by $500{\mu}M$ $H_2O_2$ for 1h. Finally, we showed that pretreatment of paprika extracts prevented inhibition of GJIC induced by $500{\mu}M$ $H_2O_2$ by the scrape-loading/dye-transfer technique. In conclusion, each colored paprika has unique phytochemicals and showed a protective effect on inhibition of GJIC.

• Journal of Microbiology and Biotechnology
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• v.22 no.3
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• pp.331-338
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• 2012

A novel gene coding for an endo-${\beta}$-1,4-mannanase (manA) from Bacillus subtilis strain G1 was cloned and overexpressed in P. pastoris GS115, and the enzyme was purified and characterized. The manA gene consisted of an open reading frame of 1,092 nucleotides, encoding a 364-aa protein, with a predicted molecular mass of 41 kDa. The ${\beta}$-mannanase showed an identity of 90.2-92.9% ${\leq}95%$) with the corresponding amino acid sequences from B. subtilis strains deposited in GenBank. The purified ${\beta}$-mannanase was a monomeric protein on SDS-PAGE with a specific activity of 2,718 U/mg and identified by MALDI-TOF mass spectrometry. The recombinant ${\beta}$-mannanase had an optimum temperature of $45^{\circ}C$ and optimum pH of 6.5. The enzyme was stable at temperatures up to $50^{\circ}C$ (for 8 h) and in the pH range of 5-9. EDTA and most tested metal ions showed a slightly to an obviously inhibitory effect on enzyme activity, whereas metal ions ($Hg^{2+}$, $Pb^{2+}$, and $Co^{2+}$) substantially inhibited the recombinant ${\beta}$-mannanase. The chemical additives including detergents (Triton X-100, Tween 20, and SDS) and organic solvents (methanol, ethanol, n-butanol, and acetone) decreased the enzyme activity, and especially no enzyme activity was observed by addition of SDS at the concentrations of 0.25-1.0% (w/v) or n-butanol at the concentrations of 20-30% (v/v). These results suggested that the ${\beta}$-mannanase expressed in P. pastoris could potentially be used as an additive in the feed for monogastric animals.

• Natural Product Sciences
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• v.19 no.2
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• pp.137-144
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• 2013

Phytochemical constituents were isolated from the seeds of tartary buckwheat (Fagopyrum tataricum) by open column chromatography. Their structures were elucidated as ${\beta}$-sitosterol (1), ${\beta}$-sitosterol-3-O-glucoside (2), oleanolic acid (3), kaempferol (4), quercetin (5), kaempferol-3-O-rutinoside (6), and quercetin-3-O-rutinoside (7) on the basis of spectroscopic analysis including $^1H$-, $^{13}C$-NMR, and MS. To our knowledge, oleanolic acid (3) has been isolated for the first time from the seeds of Fagopyrum species. The total contents of compounds 4 - 7 were 0.500 mg/g in Daesan maemil, 0.312 mg/g in Yangjul maemil, and 2.185 mg/g in tartary buckwheat.

• Fisheries and Aquatic Sciences
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• v.12 no.2
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• pp.90-97
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• 2009

The cytoskeletal $\beta$-actin gene and its 5'-upstream region were isolated and characterized in the rockbream (Oplegnathus fasciatus). Complementary DNA of the rockbream $\beta$-actin represented a 1,125 bp of an open reading frame encoding 375 amino acids, and the rockbream $\beta$-actin cDNA and deduced amino acid sequences were highly homologous to those of other vertebrate orthologs. At the genomic level, the $\beta$-actin gene also exhibited an organization typical of vertebrate cytoskeletal actin genes (2,159 bp composed of five translated exons interrupted by four introns) with a conserved GT/AG exon-intron splicing rule. The putative non-translated exon predicted in the rockbream $\beta$-actin gene was much more homologous with those of teleostean $\beta$-actin genes than those of mammals. The 5'-upstream regulatory region isolated by genome walking displayed conserved and essential elements such as TATA, CArG and CAAT boxes in its proximal part, while several other immune- or stress-related motifs such as those for NF-kappa B, USF, HNF, AP-1 and C/EBP were in the distal part. Semi-quantitative RT-PCR assay results demonstrated that the rockbream $\beta$-actin transcripts were ubiquitously but different-tially expressed across the tissues of juveniles.

• Korean Journal of Microbiology
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• v.32 no.3
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• pp.215-221
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• 1994

The complete nucleotide sequence of the cloned pga gene encoding the penicillin G acylase of Bacillus megaterium ATCC 14945 and its 5'- and 3'-flanking regions was determined. The sequence revealed only one large open reading frame (2,406 hp) of the penicillin G acylase (pga) gene. Upstream from ATG of the pga gene, there was a putative ribosome binding site, Shine-Dalgarno sequence. The promoter-like structure, - 10 and - 35 sequences, was also found. Following the stop codon, TAG, a structure reminiscent of the E. coli rho-independent transcription terminator was present. The amino acid sequence was deduced from the nucleotide sequence. The molecular mass of the polypeptide was 91,983 Da. There was a potential signal sequence in its amino-terminal region. A comparison of its deduced amino acid sequence with other characterized penicillin G acylases and the result of SDS-polyacrylamide gel electrophoresis of the purified enzyme showed that a precursor polypeptide of 92 kDa was processed into two dissimilar ${\alpha}$ and ${\beta}$-subunits of 25 and 61 kDa.