• Title/Summary/Keyword: weakly compatible

Search Result 66, Processing Time 0.023 seconds

UNIQUE POINT OF COINCIDENCE FOR TWO MAPPINGS WITH 𝜑- OR 𝜓-𝜙-CONTRACTIVE CONDITIONS ON 2-METRIC SPACES

  • Xu, Ming-Xing;Huang, Xin;Piao, Yong-Jie
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.29 no.3
    • /
    • pp.417-428
    • /
    • 2016
  • We discuss and obtain some existence theorems of unique point of coincidence for two mappings satisfying ${\varphi}$-contractive conditions or ${\psi}$-${\phi}$-contractive conditions determined by semi-continuous functions on non-complete 2-metric spaces, in which the mappings do not satisfy commutativity and uniform boundedness. The obtained results generalize and improve many well-known and corresponding conclusions.

In vitro Biodegradability and Surface Properties of Block Copoly(ester-ether)s Consisting of Poly(L-lactide) and Polyether

  • Lee, Chan-Woo;Kim, Yoshiharu ura
    • Macromolecular Research
    • /
    • v.11 no.1
    • /
    • pp.42-46
    • /
    • 2003
  • Cell attachment and proliferation on the polymer films of triblock copolymer(ester-ether)s comprising po1y (L-1actide) (PLLA) and poly (oxyethylene-co-oxypropylene)(PN) were investigated using 3T3 fibroblasts. It was found that on the tissue culture polystyrene(TCPS) and the PLLA control film the cells could spread well while on the copolymer films the cells showed a rounded morphology without spreading and proliferated weakly. Especially, little cells proliferated on the films of copolymer having a LN composition of 20 wt%. While the water absorption of the copolymer films increased with increasing PN content, the contact angle against water of copolymer films immersed in aqueous medium was almost identical, being slightly lower than that of the PLLA film. These properties were compatible with the results of cell attachment. The in vitro hydrolysis of the films of triblock and multiblock type copolymers was faster with increasing PN content. The increased hydrolyzability, the flexibility and the decreased cell attachment suggested that these copolymers may have high potential as biodegradable materials for medical use.

Ceruminous Gland Tumor in a Dog (귀지선 종양 증례 1)

  • 최을수;제갈준;배보경;최지희;정성목;?해경;김대용;이상우
    • Journal of Veterinary Clinics
    • /
    • v.19 no.3
    • /
    • pp.353-356
    • /
    • 2002
  • A 9-year-old male Yorkshire terrior with recurrent chronic otitis externa and otitis interna was referred to the Veterinary Medical Teaching Hospital of Seoul National University. Radiographic findings indicated mineralization around the right ear canal. A tan nodular mats, 1 cm in diameter. was noted near the tympanum after total ear canal ablation. Cytologically. the imprint smear of the cut surface of the mass produced clusters of cells with abundant and weakly basophilic cytoplasm, one small round nucleus and one or two nucleoli, mixed with both degenerate and non degenerate neutrophils. The location of the nuclei was eccentric, and some cells contained somewhat coarse black granules in their cytoplasms, on which the mass was diagnoted as ceruminous gland adenoma or hyperplasia associated with inflammation. Histopathologic examination of the tumor was compatible with a diagnosit of ceruminous gland adenoma. The patient is responding well to sugery and antimicrobial treatment.

ON ANNIHILATIONS OF IDEALS IN SKEW MONOID RINGS

  • Mohammadi, Rasul;Moussavi, Ahmad;Zahiri, Masoome
    • Journal of the Korean Mathematical Society
    • /
    • v.53 no.2
    • /
    • pp.381-401
    • /
    • 2016
  • According to Jacobson [31], a right ideal is bounded if it contains a non-zero ideal, and Faith [15] called a ring strongly right bounded if every non-zero right ideal is bounded. From [30], a ring is strongly right AB if every non-zero right annihilator is bounded. In this paper, we introduce and investigate a particular class of McCoy rings which satisfy Property (A) and the conditions asked by Nielsen [42]. It is shown that for a u.p.-monoid M and ${\sigma}:M{\rightarrow}End(R)$ a compatible monoid homomorphism, if R is reversible, then the skew monoid ring R * M is strongly right AB. If R is a strongly right AB ring, M is a u.p.-monoid and ${\sigma}:M{\rightarrow}End(R)$ is a weakly rigid monoid homomorphism, then the skew monoid ring R * M has right Property (A).

SEMI-ANALYTIC MODELS FOR ELECTRON ACCELERATION IN WEAK ICM SHOCKS

  • Kang, Hyesung
    • Journal of The Korean Astronomical Society
    • /
    • v.53 no.3
    • /
    • pp.59-67
    • /
    • 2020
  • We propose semi-analytic models for the electron momentum distribution in weak shocks that accounts for both in situ acceleration and re-acceleration through diffusive shock acceleration (DSA). In the former case, a small fraction of incoming electrons is assumed to be reflected at the shock ramp and pre-accelerated to the so-called injection momentum, pinj, above which particles can diffuse across the shock transition and participate in the DSA process. This leads to the DSA power-law distribution extending from the smallest momentum of reflected electrons, pref, all the way to the cutoff momentum, peq, constrained by radiative cooling. In the latter case, fossil electrons, specified by a power-law spectrum with a cutoff, are assumed to be re-accelerated from pref up to peq via DSA. We show that, in the in situ acceleration model, the amplitude of radio synchrotron emission depends strongly on the shock Mach number, whereas it varies rather weakly in the re-acceleration model. Considering the rather turbulent nature of shocks in the intracluster medium, such extreme dependence for the in situ acceleration might not be compatible with the relatively smooth surface brightness of observed radio relics.

A Preliminary Study on the Post-magmatic Activities Occurring at the Gonamsan Gabbroic Rocks in the Pocheon Area (포천지역 고남산 반려암질암 내 발생하는 후기 화성활동에 관한 예비 연구)

  • Lee, Ji-Hyun;Kim, Eui-Jun;Shin, Dongbok
    • Economic and Environmental Geology
    • /
    • v.55 no.1
    • /
    • pp.77-95
    • /
    • 2022
  • The Gonamsan gabbroic complex in the Pocheon area, northwestern region of South Korea consists of a variety types of gabbroic rocks and associated Fe-Ti oxide deposits caused by magmatic differentiation. Post-magmatic intrusions (i.e., gabbroic pegmatite and pyroxene-apatite-zircon rocks) partly intruded into the gabbroic rocks. The gabbroic pegmatite occurs in monzodiorite and oxide gabbro of the complex, intimately and spatially associated with high-grade lenticular Fe-Ti oxide mineralization. The pegmatite can be subdivided into plagioclase-amphibole and pyroxene-olivine pegmatite, in which the contact surface is sharp. The plagioclase-amphibole pegmatite comprises plagioclase and amphibole, with lesser amount of pyroxene, ilmenite, sphene, apatite, and biotite. The pegmatite shows plagioclase-amphibole intergranular texture, in which the open space formed by large plagioclase laths (An2-26Ab72-98Or0-2) are infilled by amphibole. The pyroxene-olivine pegmatite is dark gray to black in color and also contains magnetite, ilmenite, spinel, apatite, and calcite as a minor component. The pyroxene (En35-36Fs8-9Wo55) and olivine (Fo84-85Fa15-16) partly show a poikilitic texture defined by smaller euhedral olivine enclosed by coarser clinopyroxene. Fe-Ti oxide minerals consist mainly of magnetite and ilmenite that are found interstitially to earlier formed silicates. Subsequently, they are encompassed by reaction rim (almost of amphibole and biotite) along the boundary with surrounding silicate minerals. Under the microscope, magnetite contains a lot of oxyexsolved ilmenite (trellis type) and spinel, and thereby is weakly enriched in magnetite-compatible elements such as Ti, Al, Mg, and V. The structure and textures at the contact zone as well as mineralogical disequilibrium between gabbroic pegmatite and the host gabbroic rocks suggest that the pegmatite may form as a result of accumulation from Fe-rich melt (or liquid) that occurred somewhere rather than in situ form from the host gabbroic rock during the magmatic differentiation. Consequently, the preliminary study suggests that further study on the post-magmatic activities can not only help us improve our understanding on magmatic fractionation but also provide critical information on Fe-Ti oxide mineralization in gabbroic rocks resulting from the magmatic differentiation.