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EPIS, DOMINIONS AND ZIGZAG THEOREM IN COMMUTATIVE GROUPS

  • Shah, Aftab Hussain;Nabi, Muneer;Ahanger, Shabir Ahmad
    • Korean Journal of Mathematics
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    • v.30 no.3
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    • pp.513-524
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    • 2022
  • In this paper, we introduce the notion of tensor product in groups and prove its existence and uniqueness. Next, we provide the Isbell's zigzag theorem for dominions in commutative groups. We then show that in the category of commutative groups dominions are trivial. This enables us to deduce a well known result epis are surjective in the category of commutative groups.

COMMON FIXED POINT THEOREMS FOR A CLASS OF WEAKLY COMPATIBLE MAPPINGS IN D-METRIC SPACES

  • Kim, Jong-Kyu;Sedghi, Shaban;Shobe, Nabi
    • East Asian mathematical journal
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    • v.25 no.1
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    • pp.107-117
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    • 2009
  • In this paper, we give some new definitions of D-metric spaces and we prove a common fixed point theorem for a class of mappings under the condition of weakly compatible mappings in complete D-metric spaces. We get some improved versions of several fixed point theorems in complete D-metric spaces.

Estrogen Receptor and Progesterone Receptor Status in Breast Cancer in Relation to Age, Histological Grade, Size of Lesion and Lymph Node Involvement

  • Sofi, Gulam Nabi;Sofi, Junaid Nabi;Nadeem, Raja;Shiekh, Rayees Yousuf;Khan, Faroze Ahmad;Sofi, Abid Ahmad;Bhat, Hillal Ahmad;Bhat, Rayees Ahmad
    • Asian Pacific Journal of Cancer Prevention
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    • v.13 no.10
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    • pp.5047-5052
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    • 2012
  • Introduction: Breast cancer is the most common malignancy of women in Kashmir. This study was conducted with the objective of assessing hormone receptor positivity and its correlation with age at diagnosis, tumor size, histological grade and lymph node metastasis. Materials and Methods: 132 newly diagnosed cases of invasive breast cancer diagnosed at the Department of Pathology, SKIMS, Srinagar, J&K, were included after excluding biopsies, in-situ lesions and recurrence cases. Results: Mean age of the patients was 48.2 years, 59.1% being ${\leq}50$ years of age. Mean duration of symptoms was 6.32 months. Most lesions (65.1%) were 2-5 cm and 16.7% were ${\geq}5.0$ cm in greatest dimension. The predominant (80.3%) morphology was IDC-NOS. The majority of the cases presented as grade II (52.1%) lesions and lymph node involvement was present in 65.2%. ER and PR were positive in 66.3% and 63.4% cases, respectively, increasing with rising age. High grade lesions and larger size tumors were more likely to be ER and PR negative. No correlation was found between ER/PR status and lymph node metastasis. Conclusions: ER and PR expression in breast cancers in the current study was found to be higher than studies done in India/Asia but lower than studies conducted in the West, even on Indian/Asian immigrants. Markedly lower receptor expression in Indian/Asian studies is likely due to preanalytic variables, thresholds for positivity, and interpretation criteria. American Society of Clinical Oncology/College of American Pathologists Guideline Recommendations for Immunohistochemical Testing of Estrogen and Progesterone Receptors in Breast Cancer are strongly advocated for standardization of receptor evaluation and for clinical management of breast cancer patients to provide best therapeutic options.

Ultimate strength of stiffened plates with pitting corrosion

  • Rahbar-Ranji, Ahmad;Niamir, Nabi;Zarookian, Arvin
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.7 no.3
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    • pp.509-525
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    • 2015
  • Predicting residual strength of corroded plates is of crucial importance for service life estimation of aged structures. A series of nonlinear finite element method is employed for ultimate strength analysis of stiffened plates with pitting corrosion. Influential parameters, including plate thickness, type and size of stiffeners, pit depth and degree of pitting are varied and more than 208 finite element models are analyzed. It is found that ultimate strength is reduced by increasing pit depth to thickness ratio. Thin and intermediate plates have minimum and maximum reduction of ultimate strength with stronger stiffeners, respectively. In weak stiffener, reduction of ultimate strength in thin and intermediate plates depends on DOP. Reduction of ultimate strength in thick plates depends on thickness of plate and DOP. For intermediate plates, reduction for all stiffeners regardless of shape and size are the same.

Computer visualization approach for rotating FG shell: Assessment with ring supports

  • Al Thobiani, Faisal;Khadimallah, Mohamed A.;Hussain, Muzamal;Mohamed, Gar Al-Nabi Ibrahim;Ghandourah, Emad
    • Computers and Concrete
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    • v.28 no.6
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    • pp.559-566
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    • 2021
  • In this paper, frequency analysis has been done for functionally graded cylindrical shell with ring supports using Sander's shell theory. The vibrations of rotating cylindrical shells are analyzed for different physical factors. The fundamental natural frequency is investigated for different parameters such as: ratios of length-to-diameter ring supports. By increasing different value of height-to-radius ratio, the resulting backward and forward frequencies increase and frequencies decrease on increasing height-to-radius ratio. The frequencies for different position of ring supports are obtained in the form of bell shaped. The backward frequencies increases and forward frequencies decrease on increasing the rotating speed. The results generated furnish the evidence regarding applicability of present shell model and also verified by earlier published literature.

New record of an alien plant, Ipomoea cristulata (Convolvulaceae) in Korea

  • Jin-Suk YOUN;Jin-Seok KIM;Chang Woo, HYUN;Jae-Hong PAK;Woong LEE
    • Korean Journal of Plant Taxonomy
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    • v.53 no.1
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    • pp.60-64
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    • 2023
  • Ipomoea cristulata Hallier f. (Convolvulaceae), native to the desert regions of the central USA to Mexico, was newly found in Gojeong-ri, Deokgwa-myeon, Namwon-si, Jeollabuk-do. This species can be distinguished from I. coccinea by leaves with 3-5 lobes, hirsute distributed adaxially, and corolla entirely red or orange-red. Its Korean name is 'Nabi-ip-yu-hong-cho' based on its butterfly-shaped leaves. We provide a detailed description, photographs, habitat details, and a taxonomic key to related taxa.

Measurements of Storm Waves Generated by Typhoons Passed through Eastside of Korea Strait from 2004 to 2006 (2004~2006년 대한해협 동쪽을 통과한 태풍들에 의한 폭풍파 관측)

  • Jeong, Weon Mu;Kim, Sang Ik;Baek, Won Dae;Oh, Sang-Ho
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.26 no.2
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    • pp.65-71
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    • 2014
  • In recent years, strong typhoons have passed South Korea almost every year and severe damages were incurred directly and indirectly. However, instances where wave and wind data were procured from the offshore approach path of the typhoon are very rare and thus researchers are experiencing difficulties in obtaining calibration and verification data of typhoon-generated wave modeling. This paper provides a synthesis of records of observations by the Korea Meteorological Administration and Korea Institute of Ocean Science and Technology on storm waves generated by the typhoons SONGDA, NABI, and SHANSHAN that passed from 2004 to 2006 in order to help researchers interested in typhoon-generated wave numerical modeling. Although the trajectories of typhoon NABI and SHANSHAN were east of the Korea Strait, a significant wave height of 8.3 m was measured at Namhyeongjedo located east of Geojedo. Moreover, an unprecedented significant wave height of 12.2 m was measured for both typhoons at a station 1.4 km away from Yeongil Bay breakwater. Meanwhile, a comparative analysis of data obtained with a ocean data buoy at Geojedo and a Directional Waverider at Namhyeongjedo showed maximum wave heights that were similar but considerably different significant wave heights.