• Korean Journal of Mathematics
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• v.32 no.1
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• pp.121-135
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• 2024

In this paper, we have presented rough ideal statistical convergence of sequence on neutrosophic normed spaces as a significant convergence criterion. As neutrosophication can handle partially dependent components, partially independent components and even independent components involved in real-world problems. By examining some properties related to rough ideal convergence in these spaces we have established some equivalent conditions on the set of ideal statistical limit points for rough ideal statistically convergent sequences.

• KIEAE Journal
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• v.16 no.4
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• pp.55-62
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• 2016

Purpose: Since the 19th century many concrete models and theories for the ideal city had been proposed and in some way had affected on the ideal urban plans in the 20th century. Modern cities in the 20th century faced a total chaos, due to the world war and new social paradigm came from the development of technology. These social context leads us to be interested in ideal city. And two planned cities; Chandigarh, India and Brasilia, Brasil, are meaningful as the result of the modern ideal city in the early 20th century even though they completed just in part. Method: This study is focused on the characteristics of the modern ideal city in the early 20th century based on comparison with two realized cities. There are similarities and differences in their background, concept, and the characteristics of form and space. Result: First, both cities are required to make monumental and symbolic images by political issues. For this, Le Corbusier proposed the grid system for a metaphorical city and L. Costa defined the urban form with abstract axis for a mythological city. Second, the administrative districts in both cities are planned as symbolic places by formative buildings and their hierarchical arrangement. For neighbourhood unit 'Sector' in Chandigarh and 'Superquadras' in Brasilia are used for the neighbourhood unit respectively. Third, the car-oriented road system and urban environment by population overcrowding in tow cities are criticized in common. Consequently, as we can see, the modern ideal city in the early 20th century succeeds in making symbolic urban image, but exposes the limitation of sustainability.

• Imaging Science in Dentistry
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• v.53 no.3
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• pp.267-267
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• 2023

• Parasites, Hosts and Diseases
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• v.61 no.3
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• pp.338-339
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• 2023

• Journal of Ginseng Research
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• v.47 no.6
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• pp.685-685
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• 2023

• Korean Journal of Mathematics
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• v.30 no.4
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• pp.603-614
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• 2022

The main intent of this paper is to prove an existence and uniqueness fixed point result under Geraghty contractions in b-metric-like spaces, which remains an extended version of corresponding results in b-metric spaces and metriclike spaces. Using two types of Geraghty contractions, an approach is adopted to verify some fixed point results in b-metric-like spaces. Our main result is an extension of an earlier result given by Geraghty in b-metric-like-space. An example is also provided to demonstrate the validity of our main result. Moreover, as an application of our main result, the existence of solution of a Fredholm integral equation is established which may further be utilized to study the seismic response of dams during earthquakes.

• Honam Mathematical Journal
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• v.44 no.2
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• pp.179-194
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• 2022

In the present study, we investigate generic lightlike submanifolds of indefinite nearly Kaehler manifolds. After proving the existence of generic lightlike submanifolds in an indefinite generalized complex space form, a non-trivial example of this class of submanifolds is discussed. Then, we find a characterization theorem enabling the induced connection on a generic lightlike submanifold to be a metric connection. We also derive some conditions for the integrability of distributions defined on generic lightlike submanifolds. Further, we discuss the non-existence of mixed geodesic generic lightlike submanifolds in a generalized complex space form. Finally, we investigate totally umbilical generic lightlike submanifolds and minimal generic lightlike submanifolds of an indefinite nearly Kaehler manifold.

• Communications of the Korean Mathematical Society
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• v.38 no.3
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• pp.847-863
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• 2023

We introduce the study of generic lightlike submanifolds of a semi-Riemannian product manifold. We establish a characterization theorem for the induced connection on a generic lightlike submanifold to be a metric connection. We also find some conditions for the integrability of the distributions associated with generic lightlike submanifolds and discuss the geometry of foliations. Then we search for some results enabling a generic lightlike submanifold of a semi-Riemannian product manifold to be a generic lightlike product manifold. Finally, we examine minimal generic lightlike submanifolds of a semi-Riemannian product manifold.

• Asian Pacific Journal of Cancer Prevention
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• v.13 no.7
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• pp.3061-3064
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• 2012

Aim: An epidemiological shift has resulted in increase in the prevalence of non-communicable diseases (NCD). Unlike other NCDs which are easily and definitely preventable, the knowledge of cancer prevention is still limited at present. Various aetiological factors are difficult to control since those are habit forming. Hence an available remedy remains its secondary and tertiary prevention for which appropriate planning is of paramount importance. Evidence based planning requires careful analysis of data with a view to prioritize various cancers. Keeping in view the fact that the adaptation of smoking free status in Chandigarh city might have a far reaching positive effect on the cancer related morbidity of the people, the following study was undertaken to provide base line data to be used for future comparisons. Methods: The registers maintained in the Department of Radiotherapy were checked and those belonging to the years 1999 to 2009 were utilized to analyze the cancer morbidity in respect to age, sex, and year of presentation to health care facility. Results: A total of 4,600 cancer patients (males=2276, females=2324) demonstrated a gradual increase in the number of cancer cases from 150 in the year 1999 to 783 in the year 2009. The most common cancers amongst males were cancer of gastro-intestinal tract (GIT) and lung (including larynx) constituting 37.3% and 27.1% of the total, respectively. In females these were cancers of breast and cervix representing 33.3% & 17.6% of total cancer cases, respectively, and lung cancer constituted 5.3%. The maximum cases of bone cancer (53.8% of all bone cancers) were observed amongst children aged less than 20 years and lung cancer (48.2% of all lung cancers) among the elderly aged 60-69 years. The.

• Asian Pacific Journal of Cancer Prevention
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• v.16 no.8
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• pp.3499-3503
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• 2015

Background: Cancer has become an epidemic disease. Nearly ten million new cancer cases are diagnosed annually in the world and out of these about half are from the developing world. To appropriately plan for treatment, management and prevention of the disease, it becomes necessary to study the trends about morbidity caused by cancers. Materials and Methods: Data for patients diagnosed with any form of gastrointestinal (GI) cancers was extracted from records maintained in the outpatient department registers of the Oncology Department of Government Medical College and Hospital in Chandigarh from 1999 to 2012. Trends were analysed for different categories of GI cancers for the period of 12 years. Results: In present study GI cancers accounted for 23 % of all registered cases (n-9603) of carcinomas. Males predominated for all GI cancers except in the gall bladder. Gastrointestinal cancers as a proportion of total cancers increased from 21% in 1999 to 25.9% in 2012 with a significant increasing trend in our series (${\chi}^2$ for linear trend=9.36, p<0.003). Cancers of the tonsil, oral cavity and pharynx taken together showed an increasing trend over the years (${\chi}^2$ for trend=55.2, p<0.001) whereas cancers of the lower GI (${\chi}^2=19.6$, p<0.0001) and gall bladder (${\chi}^2=19.5$, p<0.0001) showed a declining trend in our series. Conclusions: GI cancers form a significant proportion of all cancers reporting to our data. In depth studies to ascertain the reasons for the changing trends are required to design intervention programs. Further information is necessary from cancer registries and from the hospital records of oncology departments.