scholarly journals Mean action of periodic orbits of area-preserving annulus diffeomorphisms

2019 ◽  
pp. 1-62
Author(s):  
Morgan Weiler

An area-preserving diffeomorphism of an annulus has an “action function” which measures how the diffeomorphism distorts curves. The average value of the action function over the annulus is known as the Calabi invariant of the diffeomorphism, while the average value of the action function over a periodic orbit of the diffeomorphism is the mean action of the orbit. If an area-preserving annulus diffeomorphism is a rotation near the boundary, and if its Calabi invariant is less than the maximum boundary value of the action function, then we show that the infimum of the mean action over all periodic orbits of the diffeomorphism is less than or equal to its Calabi invariant.

1988 ◽  
Vol 8 (8) ◽  
pp. 109-118

AbstractWe give a new proof of the fact that an area-preserving monotone twist map of the annulus with one p/q-periodic orbit on which the map preserves the ordering on the angular coordinate (i.e. Birkhoff or monotone periodic orbits) actually has a second such orbit distinct from the first.


Al-Risalah ◽  
2018 ◽  
Vol 8 (2) ◽  
pp. 126-148
Author(s):  
Ay Maryani

This study describes the religious behavior of UIN Syarif Hidayatullah Jakarta students. The variables used are internal and external environment as independent variable and religious behavior as dependent variable. The internal environment variable consists of gender factor, (male and female). The external environmental variables comprise the faculty environment, the present resident and the place to grow. The present resident consist of dormitories, boarding houses and parents' homes and the place to grow consist of urban and rural environment. Religious behavior variables consist of habluminallah behavior and habluminannas behavior. Habluminallah's behavior measured by (1) knowledge of faith and worship, (2) attitudes toward faith and worship, and (3) practice of faith and worship. The habluminannas variable measured by (1) Islamic behavior for them self, like honest, discipline and good work / studyethics, trust and concern on legality, (2) Islamic behavior with others, like generous, cooperation, caring, respect to the people's rights and tolerance and (3) Islamic behavior for the natural surroundings, like love of nature and nature conservation efforts. The methodology used was (1) Statistical descriptive, (2) MANOVA (Multivariate Analysis of Variance) and (3) Independent sample t-test. The results showed the religious behavior UIN Syarif Hidayatullah Jakarta students has a very good category. This is indicated by the mean values for the behavior of haluminallah and habluminannas of 158.85 and 178.76,  espectively. The average value of habluminallah behaviour in the range of values "145-180" with the category of "very good" and habluminannas behavior in the range value "165-205" with the category "very good. Habluminallah and habluminannas behavior are different for each faculty. This is indicated by the significance level of Pillai Trace, Wilk Lambda, Hotelling Trace, Roy's Largest Root of 0.00 (<0.05). Habluminallah and habluminannas behavior are the same for respondents who live in dormitories, boarding houses, and parents' homes. This is indicated by the value of F test and significance at Wilk's Lambda respectively for 2.055 and 0.085 (>0.05). Habluminallah and habluminannas behaviors are similar for urban and rural respondents. This is known from the sig level. (2-tailed) for habluminallah and habluminannas behavior of 0.317 and 0.245 (> 0.05), respectively. Habluminallah and habluminannas behaviors are similar for male and female. This is known from the sig level. (2-tailed) for habluminallah and habluminannas behavior of 0.950 and 0.307 (> 0.05),respectively. The results of this study are expected to be used to develop university policies that can enhance the Islamic values of UIN Syarif Hidayatullah Jakarta.


2021 ◽  
pp. 097215092110161
Author(s):  
Papageorgiou Christos ◽  
Anastasiou Athanasios ◽  
Liargovas Panagiotis

Four indicators corresponding to the four targets of the European Monetary Union were calculated. The study showed that: (a) concerning the deviation of state’s general government deficit/surplus from 3% of gross domestic product (GDP), all member states had reached their target, with the exception of Cyprus, which was slightly under the target, (b) concerning the deviation of state’s general government debt from 60% of GDP, half of all European Union (EU) member states did not reach their targets, and there was a lot to be done, especially from the EU15 member states, (c) concerning the deviation of state’s inflation rate from the mean of the three states with best results of +1.5%, it was observed that the average value of EU28 member states had reached the final target, mainly due to the performances of the EU15 member states, (d) and concerning the deviation of state’s interest rate from the mean of the three states with the best results of +2%, it was observed that the average value of EU28 member states had reached the final target.


2018 ◽  
Vol 21 (3) ◽  
pp. 376-384 ◽  
Author(s):  
Karen Kelly ◽  
Carl James Schwarz ◽  
Ricardo Gomez ◽  
Kim Marsh

Purpose The purpose of this paper is to present an empirical study on the time needed to load and disburse cash using bill validators on slot machines and stand-alone cash dispensers in casinos in British Columbia under a Ticket In Ticket Out (TITO) system. Design/methodology/approach Testing took place over two days, using 18 machines. The results were extrapolated to estimate the approximate time required to process $1,000,000 with different average bill amounts in the cash mix and three different bill validator machines in common use. The average value per bill using the cash mix used by the public in the casino was $33.11 [standard error (SE) $2.11]. Findings The mean time/accepted note ranged from 4.12 to 9.65 s, depending on bill validator type. This implies that the time needed to load $1,000,000 onto credit slips using bill validators on slot machines ranges from 35 to 81 h, excluding rest breaks and other breaks. The time needed to redeem $1,000,000 is estimated to be 3 h. Practical/implications The implications of these finding for illicit actors to successfully launder large amounts of cash are discussed. Given the time needed to physically handle the cash, and other control systems currently in use in casinos in British Columbia, processing large amounts of cash using bill validators on slot machines would require a highly organized team that would find it difficult to elude detection. Originality/value The trial results provide a baseline estimate to be used going forward when investigating or proposing money laundering methodologies that include slot machines.


Author(s):  
Alexey Vladimirovich Stepanov ◽  
Olga Aleksandrovna Bykova ◽  
Olga Gennadievna Loretz ◽  
Olga Sergeevna Chechenikhina ◽  
Olga Nikolaevna Aksenova

The mean group values  of phenotypes of the daughters of each bull were determined and taken into account for the milk yield for 305 days of maximum lactation, longevity (the number of full lactations) and life-long milk yield. As the source material, we used the data of pedigree cows of the black-motley breed of SPK Kolginsky. They were estimated 7,468 heads of cows that were left between 2003 and 2018. The highest longevity and the lifetime milk yield were characterized by the daughters of bulls of the line M. Chiftein 95679. An average of 30556.64 kg of milk was received from them for 4.73 lactations. It exceeded the average value in the sample: by longevity – by 0.24 lactation (5.3%), by life-long milk yield – by 351.01 kg (1.1%). In the Vis Beck Aydial 1013415line, in order to increase the period of productive use of cows, the bull Auction 7318 should be preferred. Among bulls of the Reflex Sovering 198998 line, the breeding material of the bull Solo 62181522 should be used more widely. In the Montvik Chiftein95679 line, the best combination of longevity and lifetime productivity indicators were in daughter of the bull   Emos 61280669.        


Author(s):  
Kaillin Lalli Randa ◽  
Ida Ayu Purba Riani ◽  
Balthazar Kreuta

The purpose of the study was to analyze what factors influence the Performance Based Budget by using a sample of 87 respondents working at the Secretariat of the Papuan People's Representative Council. While the data analysis technique used is the Ordinary least square (OLS) technique. The results of the study are indicated by the calculation of the mean (mean) of 32 item questions and 87 respondents and the result is 137.31. If the value is compared to the criteria that the author has set, then the average value is included in the "Very Good" category. While the results of the partial analysis of organizational commitment (X1) have a significant and positive influence on the performance-based budget of 1,261. Keywords: Performance Based Budget


Author(s):  
Iftichar Mudhar Talb Al-Shraa

Let g be a continuous map from 8 to itself has a fixed point at (0,0), we prove that g has a twist periodic orbit if there is a rational rotation number.


2021 ◽  
pp. 291-299

Background. Overweight and obesity are defined as abnormal or excessive fat accumulation that may impair health. Obesity is associated with many chronic diseases, including cardiovascular disease and diabetes, and recently the role of overweight and obesity in lung disease has received new interest. Chronic obstructive lung disease is the third-leading cause of death globally, and both obesity and diet appear to play roles in its pathophysiology. Cross-sectional studies have demonstrated an inverse association between obesity and the prevalence of chronic obstructive pulmonary disease (COPD). Objective. This study aims to evaluate the relationship between smoking, lipid profile and obesity (body composition changes) in a selected groups of population (30 non-smokers, 30 smokers and 60 COPD patients). Material and Methods. We evaluated fat mass, fat free mass, body mass index and lipid profile in a group of 120 randomly selected probands (60 COPD patients; 30 smokers without COPD; 30 non-smokers without COPD) to identify possible negative relationships of smoking to body composition. To the measurement of fat mass (FM) and fat free mass (FFM) was used a device Bodystat Quadscan 4000 (Bodystat Ltd, British Isles). The device works by using four-frequency bioelectrical impedance analysis. Laboratory parameters as total cholesterol (T-C), high-density cholesterol (HDL-C), low-density cholesterol (LDL-C) and triacylglycerols (TG) were investigated by automated clinical chemistry analyzer LISA 200th. The measured values were statistically processed and evaluated in a statistical program STATISTICA Cz. Version 7.1. (Kruskall-Wallis test). Results. A comparison of the mean fat mass we found statistically highly significant differences between the group of COPD patients and non-smokers (P <0.001) and insignificant differences (P ≥ 0.05) between the other groups of our experiment. A comparison of the mean fat mass values of all three groups of the experiment shows a steady increase in fat from non-smokers (17.66 ± 10.04 kg) to COPD patients with the highest mean value (25.08 ± 10.14 kg). In the group of COPD patients we recorded the lowest average value of FFM (51.76 ± 13.84 kg), in group of smokers the middle (56.06 ± 10.76 kg) and in non-smokers the highest average value of FFM (59.91 ± 9.90 kg) at relatively the same body weight in the groups. Based on calculated body mass index (BMI), we found in group of COPD patients overweight in 15 cases (25%), obesity in 7 patients (11.67%), severe obesity in 14 patients (23.3%) and morbid obesity in 2 patients (3.33%); in the group of smokers overweight in 16 cases (53.33%), obesity in 5 cases (16.6%) and severe obesity in 1 case (3.33%); in non-smokers we recording overweight in 14 cases (46.67%), obesity in 5 cases (16.67%) and severe obesity in 2 cases (6.67%). In the lipid profile of the monitored groups of probands, we observed statistically significant differences only for LDL cholesterol (LDL-C). There was a statistically significant difference (P <0.001) between the group with COPD and smokers, as well as between the group of smokers and non-smokers (P < 0.05). Conclusions. In the vast majority of patients with COPD, the lung damage that leads to COPD is caused by long-term cigarette smoking. The presence and absence of risk factors such as smoking, inappropriate lipid profile and obesity (amount of fat mass) in selected population groups were observed. Additional studies to explore both the quantitative and qualitative changes in body composition with disease process of COPD are required.


2012 ◽  
Vol 7 (2) ◽  
Author(s):  
Laila Hayati ◽  
M. Turmuzi ◽  
Syahrul Azmi

Abstrak: Penelitian ini bertujuan untuk menerapkan  model pembelajaran berbasis portofolio yang dapat meningkatkan aktivitas dan hasil belajar mahasiswa semester IV pada mata kuliah Review Curriculum and Content of Mathematics  di program studi pendidikan matematika FKIP Universitas Mataram tahun akademik 2011/2012. Langkah-langkah yang dilakukan dalam pembelajaran berbasis portofolio adalah: mengidentifikasi masalah, memilih masalah untuk kajian  kelas, mengumpulkan informasi, membuat portofolio kelas, penyajian portofolio dan refleksi pada pengalaman belajar dengan mengambil kesimpulan dan penilaian. Penelitian tindakan kelas ini dilakukan sebanyak 3 siklus. Hasil penelitian menunjukkan bahwa terjadi peningkatan nilai rata-rata dari siklus 1  ke siklus 3, yaitu 68,46; 78,65; dan 77,5. Ketuntasan belajar  dari siklus 1 sampai siklus 3 secara berturut-turut 87,5%; 100%; dan 95,83%. Skor rata-rata aktivitas belajar adalah 3,29 dan 3,42 dengan kategori aktif pada siklus 1,  3,94 dan 3,82 dengan kategori sangat aktif pada siklus 2 , dan pada siklus 3 skor rata-ratanya 4 dengan kategori sangat aktif. Dari hasil tersebut dapat disimpulkan bahwa dengan menerapkan model pembelajaran berbasis portofolio dengan optimal dapat meningkatkan aktivitas dan hasil belajar mahasiswa semester IV pada mata kuliah Review Curriculum and Content of Mathematics. Kata kunci: Pembelajaran berbasis portofolio, aktivitas belajar, dan hasil belajar.      Abstract: This study aims to implement a portfolio-based learning model that can improve the activity and student learning achievements on Review Curriculum and Content of Mathematics courses of the fourth semester mathematics education in FKIP Mataram University academic year 2011/2012. The steps taken in the portfolio-based learning are: identifying the problem, selecting issues for classroom study, gather information, create a class portfolio, portfolio presentation and reflection on learning experiences to draw conclusions and evaluation. Action research was carried out in 3 cycles. The results showed that an increase in the average value from cycle 1 to cycle 3, which is 68.46; 78.65, and 77.5. Mastery learning from cycle 1 to cycle 3 respectively are 87.5%, 100% and 95.83%. In cycle 1, the mean score of students' learning activities is 3.29 and 3.42 with active category,. in cycle 2, the mean score is 3.94 and 3.82 with a very active category, and the third cycle, the mean scor is 4 with very active category. From these results it can be concluded that by applying the portfolio based learning models can enhance the activity and student learning achievements of the fourth semester on Curriculum Review and Content of Mathematics course.Keywords: portfolio-based learning, learning activities, and learning achievements.


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