• Bulletin of the Korean Mathematical Society
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• v.58 no.1
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• pp.133-146
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• 2021

For pseudo-free and recurrent self-similar groups, we show that continuous orbit equivalence of inverse semigroup partial actions implies continuous orbit equivalence of group actions. Conversely, if group actions are continuous orbit equivalent, and the induced homeomorphism commutes with the shift maps on their groupoids, we obtain continuous orbit equivalence of inverse semigroup partial actions.

• Journal of Advanced Navigation Technology
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• v.25 no.5
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• pp.409-414
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• 2021

The growing concerns on the emission of particulate matter has prompted a demand for highly reliable particulate matter forecasting. Currently, several studies on particulate matter prediction use various deep learning algorithms. In this study, we compared the predictive performances of typical neural networks used for particulate matter prediction. We used deep neural network(DNN), recurrent neural network, and long short-term memory algorithms to design an optimal predictive model on the basis of a hyperparameter search. The results of a comparative analysis of the predictive performances of the models indicate that the variation trend of the actual and predicted values generally showed a good performance. In the analysis based on the root mean square error and accuracy, the DNN-based prediction model showed a higher reliability for prediction errors compared with the other prediction models.

• Asian Pacific Journal of Cancer Prevention
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• v.16 no.13
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• pp.5573-5578
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• 2015

Background: A systematic review and meta-analysis were performed to compare the post-recurrence survival with hepatic re-resection versus transarterial chemoembolization (TACE) for recurrent hepatocellular carcinoma (HCC) after initial resection. Materials and Methods: All relevant papers were searched via PubMed, EMBASE, and Cochrane Library databases. Hazard ratios (HRs) with 95% confidence intervals (CIs) were pooled using a random-effects model. Subgroup analysis was performed according to country. Sensitivity analysis was performed in studies which clearly reported the recurrent regions, in moderate/high-quality studies, in studies published in full-text form, and in studies published after 2005. Results: In total, twelve papers were included in our study. Five and seven of them were of moderate- and poor-quality, respectively. The overall meta-analysis demonstrated a statistically significantly higher post-recurrence survival in the hepatic re-resection group than in those undergoing TACE (HR=0.64, 95%CI=0.52-0.79, P<0.0001). Heterogeneity was statistically significant and statistical significance remained in the subgroup analysis. Sensitivity analyses were also consistent with the overall analysis. Conclusions: Hepatic re-resection might provide a better post-recurrence survival than TACE for recurrent HCC after initial resection. However, considering the low quality of published studies and the potential bias of treatment selection, further randomized trials should be warranted to confirm these findings.

• Journal of the Korean Mathematical Society
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• v.51 no.2
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• pp.251-266
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• 2014

In this paper, we use Newton's method to approximate a locally unique solution of an equation in Banach spaces and introduce recurrent functions to provide a weaker semilocal convergence analysis for Newton's method than before [1]-[13], in some interesting cases, provided that the Fr$\acute{e}$chet-derivative of the operator involved is p-H$\ddot{o}$lder continuous (p${\in}$(0, 1]). Numerical examples involving two boundary value problems are also provided.

• The Pure and Applied Mathematics
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• v.28 no.2
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• pp.143-153
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• 2021

In this paper, we study some curvature properties of Sasakian 3-manifolds associated to Ƶ-tensor. It is proved that if a Sasakian 3-manifold (M, g) satisfies one of the conditions (1) the Ƶ-tensor is of Codazzi type, (2) M is Ƶ-semisymmetric, (3) M satisfies Q(Ƶ, R) = 0, (4) M is projectively Ƶ-semisymmetric, (5) M is Ƶ-recurrent, then (M, g) is of constant curvature 1. Several consequences are drawn from these results.

• Nonlinear Functional Analysis and Applications
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• v.27 no.2
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• pp.433-448
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• 2022

The Cartan's second curvature tensor Pⁱ_jkh is a positively homogeneous of degree-1 in yⁱ, where yⁱ represent a directional coordinate for the line element in Finsler space. In this paper, we discuss the decomposition of Cartan's second curvature tensor Pⁱ_jkh in two spaces, a generalized 𝔅P-recurrent space and generalized 𝔅P-birecurrent space. We obtain different tensors which satisfy the recurrence and birecurrence property under the decomposition. Also, we prove the decomposition for different tensors are non-vanishing. As an illustration of the applicability of the obtained results, we finish this work with some illustrative examples.

• Asian Pacific Journal of Cancer Prevention
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• v.13 no.6
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• pp.2909-2912
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• 2012

Aim: To evaluate efficacy and tolerability of topotecan treatment for recurrent small cell lung carcinoma. Patients and Methods: A total of 62 patients were evaluated retrospectively. Statistical analysis was performed using GraphPad Instat (version 3.05). Results: DFifty five of patients (89%) were male and 7 (11%) were female. Median age was $56.7{\pm}9.3$ (34-75). Forty eight of patients (80%) were extensive stage (ES) at the time of diagnosis. Fifty of the patients (80.6 Medical Oncology Clinic) were given median 5.36 cycles of cisplatin-etoposide (2-8 cycles). Time to recurrence was $15.6{\pm}6.13$ weeks in patients with limited stage (LS) and $6.3{\pm}3.82$ weeks in extensive stage (ES) (p<0.0001). Overall survival was $14.0{\pm}6.08$ months in ES and $17.9{\pm}6.88$ months in LS. The difference between two groups was statistically meaningful (p=0.0447). The overall survival of the patients was $14.8{\pm}6.43$ months (4.5-40 months). In terms of survival, there was no difference between males and females (p=0.1171). In 17 (27%) patients who were refractory to topotecan or in whom progression occurred other chemotherapies were used. Conclusion: Small cell lung cancer is chemosensitive, but recurrences occur in short time. Other chemotherapy regimens are used in progression. Topotecan is one of them. Patients who were young and in whom recurrences occur late had given better response to topotecan. Because of the retrospective nature of the study, we couldn't reach the records exactly and consequently, rate and duration of response couldn't be calculated. In recurrent SCLC topotecan is one of the treatment choices. But both hematological and non hematological side effects should be taken into consideration.

• Research in Mathematical Education
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• v.18 no.3
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• pp.187-208
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• 2014

This study engages in the features of interaction in elementary school mathematics lessons as reflected in the class discourse. 28 pre-service teachers documented the discourse during observation of their tutor-teachers' lessons. Mapping the interaction patterns was performed by a unique graphic model developed for that purpose and enabled providing a spatial picture of the discourse conducted in the lesson. The research findings present the known discourse pattern "initiation-response-evaluation / feedback" (IRE/F) which is recurrent in all the lessons and the teacher's exclusive control over the class discourse patterns. Hence, the remaining time of the lesson for the pupils' discourse is short and meaningless.

• The Pure and Applied Mathematics
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• v.3 no.2
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• pp.123-129
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• 1996

In this paper, we investigate the properties of various limit sets. In particular, we study the relationship between the recurrent set and special $\gamma$-limit set. And also we show that if $\chi$ is not almost periodic, then $\chi$ is special a-limit.

• The Pure and Applied Mathematics
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• v.2 no.2
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• pp.157-162
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• 1995

Let I be the interval, $S^1$ the circle and let X be a compact metric space. And let $C^{circ}(X,\;X)$ denote the set of continuous maps from X into itself. For any f$f\in\;C\circ(X,\;X),\;let\;P(f),\;R(f),\;\Gamma(f),\;\Lambda(f)\;and\;\Omega(f)$ denote the collection of the periodic points, recurrent points, ${\gamma}-limit{\;}points,{\;}{\omega}-limit$ points and nonwandering points, respectively.(omitted)