A computational problem involving Dickson conjecture

2021 ◽  
pp. 2150109
Author(s):  
Shaohua Zhang
Keyword(s):  
Equivalent Form ◽  
Computational Problem

In this paper, we give an equivalent form of Dickson’s conjecture. Based on this equivalent form, we propose a computational problem and obtain several interesting results.

scholarly journals A reverse Hardy–Hilbert-type integral inequality involving one derivative function

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Qian Chen ◽  
Bicheng Yang
Keyword(s):  
Integral Inequality ◽  
Beta Function ◽  
Equivalent Form ◽  
Constant Factor ◽  
Weight Functions ◽  
Derivative Function ◽  
The Best Possible Constant ◽  
Type Integral ◽  
Hilbert Type ◽  
Hilbert Integral

AbstractIn this article, by using weight functions, the idea of introducing parameters, the reverse extended Hardy–Hilbert integral inequality and the techniques of real analysis, a reverse Hardy–Hilbert-type integral inequality involving one derivative function and the beta function is obtained. The equivalent statements of the best possible constant factor related to several parameters are considered. The equivalent form, the cases of non-homogeneous kernel and some particular inequalities are also presented.

scholarly journals On a more accurate Hilbert-type inequality in the whole plane with the general homogeneous kernel

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Xingshou Huang ◽  
Bicheng Yang
Keyword(s):  
Equivalent Form ◽  
Type Inequality ◽  
Constant Factor ◽  
Real Analysis ◽  
Homogeneous Kernel ◽  
Hilbert’S Inequality ◽  
The Best Possible Constant ◽  
Hilbert Type ◽  
Weight Coefficients

AbstractBy the use of the weight coefficients, the idea of introduced parameters and the technique of real analysis, a more accurate Hilbert-type inequality in the whole plane with the general homogeneous kernel is given, which is an extension of the more accurate Hardy–Hilbert’s inequality. An equivalent form is obtained. The equivalent statements of the best possible constant factor related to several parameters, the operator expressions and a few particular cases are considered.

Reliability of the Amplitude of the Return-Sweep Velocity of Eye Movements during Reading

1992 ◽  
Vol 75 (2) ◽  
pp. 425-426 ◽  
Author(s):  
Jin Ong ◽  
James L. Summers
Keyword(s):  
Eye Movements ◽  
Equivalent Form ◽  
College Men ◽  
Reliability Coefficient ◽  
Reading Habits ◽  
Reading Remediation ◽  
Eye Movements During Reading

A Beckman Type RM Dynograph was used to record the eye movements of 26 professional college men, once without spectacle corrections and then with piano lenses on a trial frame, during reading equivalent print at a distance of 33 cm. Amplitudes of the return-sweep velocity on these two trials were used to calculate an equivalent form reliability coefficient. A Pearson r of 0.88 indicates that their reliability is moderately high, meaning that both the desirable as well as the undesirable reading habits are probably deeply rooted by college, and imply that any reading remediation or improvement training should be performed at some much earlier stages to be efficiently effective.

MAZUR–ULAM PROPERTY OF THE SUM OF TWO STRICTLY CONVEX BANACH SPACES

2015 ◽  
Vol 93 (3) ◽  
pp. 473-485 ◽  
Author(s):  
JIAN-ZE LI
Keyword(s):  
Banach Spaces ◽  
Equivalent Form ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Extension Problem ◽  
Isometric Extension ◽  
Strictly Convex ◽  
Necessary And Sufficient ◽  
Strictly Convex Banach Spaces ◽  
Equivalent Conditions

In this article, we study the Mazur–Ulam property of the sum of two strictly convex Banach spaces. We give an equivalent form of the isometric extension problem and two equivalent conditions to decide whether all strictly convex Banach spaces admit the Mazur–Ulam property. We also find necessary and sufficient conditions under which the $\ell ^{1}$-sum and the $\ell ^{\infty }$-sum of two strictly convex Banach spaces admit the Mazur–Ulam property.

RELIABILITAS DALAM PENELITIAN

2021 ◽  
Author(s):  
Prima Mytra
Keyword(s):  
Form Factor ◽  
Equivalent Form

Dengan adanya pengujian dari hasil sebuah penelitian atau yang sering disebut dengan uji reliabilitas maka penelitian yang dihasilkan akan memiliki sebuah mutu yang berkualitas. Karena penelitian yang sudah melalui uji penelitian sudah dianggap bagus dan memenuhi standart.Ada tiga teknik dasar yang dapat diterapkan oleh peneliti dalam menguji Reliabilitas suatu penelitian yaitu:1.Teknik pengukuran ulang (test-retest)2.Teknik belah dua3.Teknik paralel (equivalent form)Factor-faktor yang mempengaruhi reliabilitas adalah waktu pengujian tes, dan factor lain diantaranya yaitu;1.Panjang test dan kualitas butir soal2.Berhubungan dengan tercoba (objek)3.Metode tes ulang4.Metode belah dua5.Kesulitan tes

scholarly journals Some Symmetric Identities Involving Fubini Polynomials and Euler Numbers

Symmetry ◽  
2018 ◽  
Vol 10 (8) ◽  
pp. 303 ◽  
Author(s):  
Zhao Jianhong ◽  
Chen Zhuoyu
Keyword(s):  
Calculation Method ◽  
Computational Formula ◽  
Euler Numbers ◽  
Special Sequence ◽  
Computational Problem ◽  
Elementary Methods ◽  
Symmetric Identities ◽  
Recursive Calculation

The aim of this paper is to use elementary methods and the recursive properties of a special sequence to study the computational problem of one kind symmetric sums involving Fubini polynomials and Euler numbers, and give an interesting computational formula for it. At the same time, we also give a recursive calculation method for the general case.

scholarly journals Effect of food insecurity on the cognitive problems among elderly in India

2021 ◽  
Vol 21 (1) ◽  
Author(s):  
Shubham Kumar ◽  
Anjali Bansal ◽  
Neha Shri ◽  
Nayan Jyoti Nath ◽  
Divya Dosaya
Keyword(s):  
Food Insecurity ◽  
Cognitive Functioning ◽  
Food Policy ◽  
Descriptive Analysis ◽  
Social Determinant ◽  
Food Distribution ◽  
Word Recall ◽  
Physical And Mental Health ◽  
Related Factors ◽  
Computational Problem

Abstract Background Food Insecurity (FI) is a crucial social determinant of health, independent of other socioeconomic factors, as inadequate food resources create a threat to physical and mental health especially among older person. The present study explores the associations between FI and cognitive ability among the aged population in India. Methods To measure the cognitive functioning we have used two proxies, word recall and computational problem. Descriptive analysis and multivariable logistic regression was used to understand the prevalence of word recall and computational problem by food security and some selected sociodemographic parameters. All the results were reported at 95% confidence interval. Results We have used the data from the first wave of longitudinal ageing study of India (LASI), with a sample of 31,464 older persons 60 years and above. The study identified that 17 and 5% of the older population in India experiencing computational and word recall problem, respectively. It was found that respondents from food secure households were 14% less likely to have word recall problems [AOR:0.86, 95% CI:0.31–0.98], and 55% likely to have computational problems [AOR:0.45, 95% CI:0.29–0.70]. We also found poor cognitive functioning among those experiencing disability, severe ADL, and IADL. Further, factors such as age, education, marital status, working status, health related factors were the major contributors to the cognitive functioning in older adults. Conclusion This study suggest that food insecurity is associated with a lower level of cognition among the elderly in India, which highlight the need of food policy and interventional strategies to address food insecurity, especially among the individuals belonging to lower wealth quintiles. Furthermore, increasing the coverage of food distribution may also help to decrease the burden of disease for the at most risk population. Also, there is a need for specific programs and policies that improve the availability of nutritious food among elderly.

scholarly journals ДОСЯГНЕННЯ ЕФЕКТИВНОГО РОЗПОДІЛЕНОГО ПЛАНУВАННЯ ЗА ДОПОМОГОЮ ЧЕРГ ПОВІДОМЛЕНЬ У ХМАРІ ДЛЯ БАГАТОЗАДАЧНИХ ОБЧИСЛЕНЬ ТА ВИСОКОПРОДУКТИВНИХ ОБЧИСЛЕНЬ

2020 ◽  
Author(s):  
Старовойтенко Олексій Володимирович
Keyword(s):  
Distributed Systems ◽  
System Performance ◽  
State Of The Art ◽  
Computation Time ◽  
Cloud Services ◽  
Distributed Scheduling ◽  
Message Processing ◽  
Computational Problem ◽  
Control Units ◽  
And Control

Due to the growth of data and the number of computational tasks, it is necessary to ensure the required level of system performance. Performance can be achieved by scaling the system horizontally / vertically, but even increasing the amount of computing resources does not solve all the problems. For example, a complex computational problem should be decomposed into smaller subtasks, the computation time of which is much shorter. However, the number of such tasks may be constantly increasing, due to which the processing on the services is delayed or even certain messages will not be processed. In many cases, message processing should be coordinated, for example, message A should be processed only after messages B and C. Given the problems of processing a large number of subtasks, we aim in this work - to design a mechanism for effective distributed scheduling through message queues. As services we will choose cloud services Amazon Webservices such as Amazon EC2, SQS and DynamoDB. Our FlexQueue solution can compete with state-of-the-art systems such as Sparrow and MATRIX. Distributed systems are quite complex and require complex algorithms and control units, so the solution of this problem requires detailed research.

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