scholarly journals Iterating the Sum of Möbius Divisor Function and Euler Totient Function

Mathematics ◽  
2019 ◽  
Vol 7 (11) ◽  
pp. 1083 ◽  
Author(s):  
Daeyeoul Kim ◽  
Umit Sarp ◽  
Sebahattin Ikikardes
Keyword(s):  
Divisor Function ◽  
Divisor Functions ◽  
Euler Totient Function ◽  
The Absolute ◽  
Fermat Primes ◽  
The Relationship

In this paper, according to some numerical computational evidence, we investigate and prove certain identities and properties on the absolute Möbius divisor functions and Euler totient function when they are iterated. Subsequently, the relationship between the absolute Möbius divisor function with Fermat primes has been researched and some results have been obtained.

Rola Avarského Kaganátu Pri Vzniku Slovenčiny

2018 ◽  
Vol 69 (2) ◽  
pp. 199-236
Author(s):  
Martin Braxatoris ◽  
Michal Ondrejčík
Keyword(s):  
Slavic Language ◽  
The West ◽  
The North ◽  
Danube Region ◽  
The Absolute ◽  
North Edge ◽  
The Relationship ◽  
Slovak Language

Abstract The paper proposes a basis of theory with the aim of clarifying the casual nature of the relationship between the West Slavic and non-West Slavic Proto-Slavic base of the Slovak language. The paper links the absolute chronology of the Proto-Slavic language changes to historical and archaeological information about Slavs and Avars. The theory connects the ancient West Slavic core of the Proto-Slavic base of the Slovak language with Sclaveni, and non-West Slavic core with Antes, which are connected to the later population in the middle Danube region. It presumes emergence and further expansion of the Slavic koiné, originally based on the non-West Slavic dialects, with subsequent influence on language of the western Slavic tribes settled in the north edge of the Avar Khaganate. The paper also contains a periodization of particular language changes related to the situation in the Khaganate of that time.

A Fluidity-Temperature Relationship for Liquids

1973 ◽  
Vol 95 (2) ◽  
pp. 236-241
Author(s):  
T. F. Ford ◽  
C. R. Singleterry
Keyword(s):  
Interpolation Formula ◽  
Absolute Temperature ◽  
Temperature Relationship ◽  
Organic Liquids ◽  
Low Viscosity ◽  
Linear Relationships ◽  
Temperature Ranges ◽  
The Absolute ◽  
The Relationship

Many relationships between viscosity or its reciprocal, fluidity, and temperature have been proposed for liquids. None except the empirically modified ASTM chart have proven satisfactory over extended temperature ranges. We here note that by plotting the kinematic fluidity (φkin) against the square of the absolute temperature (deg K2) we obtain linear relationships for a wide variety of organic liquids at kinematic viscosities less than about 1.67 centistokes (or fluidities above about 0.60 reciprocal centistokes). The generality of the relationship appears to justify the use of the equation, φkin=a+bT2, as an interpolation formula for organic liquids in the low viscosity region.

Barth and Buddhism in the theology of Katsume Takizawa

2011 ◽  
Vol 64 (2) ◽  
pp. 195-210
Author(s):  
John Parratt
Keyword(s):  
Twentieth Century ◽  
The Self ◽  
Self Identity ◽  
Basic Relationship ◽  
The Absolute ◽  
The Relationship

AbstractKatsume Takizawa (1909–1984) was one of the most innovative of twentieth-century Japanese philosophical theologians. His study with Barth (1935) led him to attempt to bring together aspects of Barth's theology with concepts derived from Jodo-shin and Zen. He found in both religions a basic relationship between God and man which transcended both identity and distinction, which he expressed in Nishida's concept of the self-identity of the absolute contradiction. This relationship he called ‘Emmanuel 1’. The fulfilment of the relationship is ‘Emmanuel 2’ and is reflected for Christians in Jesus.

scholarly journals An Examination of the Effects of Change in Committee Chair on Audit Quality

2017 ◽  
Vol 6 (4) ◽  
pp. 52
Author(s):  
Izhar Haq ◽  
Teresa Lang ◽  
Hongkang Xu
Keyword(s):  
Audit Committee ◽  
Audit Quality ◽  
Financial Statements ◽  
Discretionary Accruals ◽  
Committee Chair ◽  
The Absolute ◽  
Predicted Values ◽  
The Relationship ◽  
A Company

This study uses GMI Ratings directorship data from 2008 to 2013 along with the associated financial data to examine the relationship between audit committee chair change with the absolute discretionary accruals in the financial statements of the reporting companies.  Our results suggest that audit committee chair change is positively associated with the absolute discretionary accruals.  Specifically, absolute discretionary accruals are significantly higher when there is a change in the audit committee chair.  These results are consistent with prior research that deviations from the predicted values of accruals is an indicator of “poor” audit quality.  An additional finding of this paper is that a person younger than 60 is more likely to be a new audit committee chair when there is a change and therefore will have less experience and contacts than the outgoing chair. An important implication of these results is that audit committee chair change can have a significant impact on the quality of the financial statements of a company as well as on the audit quality.

Application of PPP Solution to Determine the Absolute Vertical Crustal Movements: Case Study for Northeastern Europe

2017 ◽  
Author(s):  
Kamil Kowalczyk ◽  
Janusz Bogusz
Keyword(s):  
Time Series ◽  
Vertical Movements ◽  
Crustal Movements ◽  
Northeastern Poland ◽  
The Absolute ◽  
Set Up ◽  
Changes Over Time ◽  
The Relationship ◽  
Vertical Crustal Movements

To estimate the relationship between vertical movements of the Earth’s crust, geoid temporal changes and Mean Sea Level (MSL) variations, a knowledge about the absolute (determined from satellite and space techniques) height changes over time is required. In this paper, we give an idea of determining the height changes with a use of Vertical Switching Edge Detection (VSED) algorithm. On the basis of the least squares estimation, the VSED method detects the discontinuities in time series and determines the values of jumps at the same time. We used the time series from PPP (Precise Point Positioning) solution obtained in NGL (Nevada Geodetic Laboratory) using satellite data gathered at more than 50 permanent stations located in Latvia, Lithuania and northeastern Poland. The minimum time span of data was set up to 3 years. Data were pre-analyzed by removing outliers and interpolating small gaps. The obtained results give an overview of a possibility of the proposed method to be used and the ongoing vertical movements on the area we considered.

Faith and Science in Russian Literature

2019 ◽  
pp. 59-72
Author(s):  
Teresa Obolevitch
Keyword(s):  
Natural Science ◽  
Scientific Explanation ◽  
Russian Literature ◽  
Faith And Reason ◽  
The Absolute ◽  
Lev Tolstoy ◽  
The Relationship ◽  
Spiritual Unity

Chapter 6 shows the presence of the topic of the relationship between faith and science in the thought of the most influential literature figures, such as Fedor Dostoevsky and Lev Tolstoy. Although Dostoevsky stressed the role of faith, his account by no means was a mere fideism. Dostoevsky respected natural science, even if he definitively marked the limits of the scientific explanation. Hence, he strove for an integral attitude embracing faith and reason in a single spiritual unity. By contrast, Lev Tolstoy was concerned about the absolute comprehensibility and rational obviousness of Christian truths, yet denied the significance of natural science.

Part III Themes, Ch.17 Unity

2018 ◽  
Author(s):  
Gummow William
Keyword(s):  
State Legislatures ◽  
Executive Power ◽  
National Unity ◽  
Legislative Power ◽  
The People ◽  
The Absolute ◽  
The Relationship ◽  
Ordinary Citizens

This chapter considers national unity in Australia. It focuses first upon the absolute freedom of intercourse among the States of which section 92 of the Constitution commands. The chapter then turns to the absence of disability or discrimination required by section 117. Next, it considers the operation of section 109 not only to adjust relations between Commonwealth and State legislatures but to meet the entitlement of ‘the ordinary citizens … to know which of two inconsistent laws he is required to observe’. Here, reference is made to the uniform quality of justice throughout the Commonwealth which these ‘ordinary citizens’ would be entitled to expect. Finally, the chapter discusses the relationship between ‘the people’, the franchise, and citizenship, and what on occasion has been identified as the implied ‘nationhood’ legislative power of the Parliament, or ‘nationhood’ as an attribute of the executive power of the Commonwealth.

The Relationship between the Letters of Al-Iḫlāṣ (Q 112:1-4) and Their Iterations Using B-Spline Function

2019 ◽  
Vol 17 (1) ◽  
pp. 60-86
Author(s):  
Faoziya S.M. Musbah
Keyword(s):  
Spline Function ◽  
Piecewise Linear ◽  
Two Dimensional ◽  
B Spline ◽  
Holy Quran ◽  
Data Points ◽  
The Holy Quran ◽  
The Absolute ◽  
Unity Of God ◽  
The Relationship

Abstract Al-Iḫlāṣ is an important chapter within the Holy Quran (words of God) because it is a brief declaration of the absolute unity of God (Allah). This paper analyzes al-Iḫlāṣ mathematically in order to gain an understanding of the relationship between the letters of this chapter and their iterations. The analyzed two-dimensional data points (xi,yi) define a piecewise linear curve that is shaped like Allah’s name as it is written in Arabic. The B-spline function is used to analyze this data so as to obtain a second degree curve.

scholarly journals Comparison of Predictability Using Barrett Universal II and SRK/T Formulas according to Keratometry

2020 ◽  
Vol 2020 ◽  
pp. 1-5
Author(s):  
Kei Iijima ◽  
Kazutaka Kamiya ◽  
Yoshihiko Iida ◽  
Nobuyuki Shoji
Keyword(s):  
Prediction Error ◽  
Pearson Correlation ◽  
Absolute Error ◽  
Power Calculation ◽  
Universal Formula ◽  
Iol Power Calculation ◽  
Iol Power ◽  
The Absolute ◽  
Relationship Of ◽  
The Relationship

Purpose. To compare the predictability of intraocular lens (IOL) power calculation using the Barrett Universal II and the SRK/T formulas, according to the keratometry. Methods. We retrospectively reviewed the clinical charts of 335 consecutive eyes undergoing standard cataract surgery. IOL power calculations were performed using the Barrett Universal II and the SRK/T formulas. We compared the prediction error, the absolute error, and the percentages within ±0.25, ±0.5, and ±1.0 D of the targeted refraction, 1 month postoperatively, and also investigated the relationship of these outcomes with the keratometric readings, using the two formulas. Results. The prediction error using the SRK/T formula was significantly more myopic than that using the Barrett Universal II formula (the paired t-test, p<0.001). The absolute error using the SRK/T formula was significantly larger than that using the Barrett Universal II formula (p=0.006). We found a significant correlation between the prediction error and the keratometric readings using the SRK/T formula (Pearson correlation coefficient, r = −0.522, p<0.001), but there was no significant correlation between them using the Barrett Universal II formula (r = −0.031, p=0.576). Conclusions. The Barrett Universal II formula provides a better predictability of IOL power calculation and is less susceptible to the effect of the corneal shape, than the SRK/T formula. The Barrett Universal formula, instead of the SRK/T formula, may be clinically helpful for improving the refractive accuracy, especially in eyes with steep or flat corneas.

scholarly journals The development of TRIC organisms in cell cultures during multiple infection

1972 ◽  
Vol 70 (1) ◽  
pp. 39-48 ◽  
Author(s):  
Andrea Evans
Keyword(s):  
Cell Cultures ◽  
Culture Medium ◽  
Absolute Number ◽  
Multiple Infection ◽  
Multiplicity Of Infection ◽  
The Absolute ◽  
The Relationship ◽  
Infecting Organisms

SUMMARYThe relationship between multiplicity of infection and the yield of organisms and of polysaccharide was studied in BHK 21 cells infected with TRIC organisms. Although an increase in themultiplicity of infection resulted in an increase in the absolute number of organisms per culture, there was a decrease in relation to the number of infecting organisms. The amount of polysaccharide produced was independent of multiplicity of infection; it was not limited by the concentration of glucose in the medium. Polysaccharide leaked from cells and was slowly broken down in the culture medium.

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