New Developments in the Additive Theory of Prime Numbers

10.1142/6639 ◽  
2011 ◽  
Author(s):  
Jianya Liu ◽  
Tao Zhan
Keyword(s):  
Prime Numbers ◽  
New Developments ◽  
Additive Theory

scholarly journals Preliminary Discussion on Several Problems Related to the Divisor Function

2020 ◽  
Vol 3 (1) ◽  
Author(s):  
Yongmin Wang
Keyword(s):  
High Power ◽  
Prime Numbers ◽  
Divisor Function ◽  
Additive Theory ◽  
Integer Coefficients ◽  
Power Sum ◽  
Preliminary Discussion

This paper is divided into three parts to discuss the divisor function. It mainly combines the high power sum of the divisor function to study the solution number of the polynomial with integer coefficients "g(x)=0(modq)", and to improve some of the conclusions in the second chapter of Additive Theory of Prime Numbers and prove the improved conclusions.

scholarly journals Conjecture in Additive Twin Primes Numbers Theory

2013 ◽  
Vol 5 ◽  
pp. 27-30
Author(s):  
Ibrahima Gueye
Keyword(s):  
Prime Numbers ◽  
Additive Theory ◽  
Twin Primes ◽  
Theory Of Numbers

For two millennia, the prime numbers have continued to fascinate mathematicians. Indeed, a conjecture which dates back to this period states that the number of twin primes is infinite. In 1949 Clement showed a theorem on twin primes. For the record, the theorem of Clement has quickly been known to be ineffective in the development of twin primes because of the factorial. This is why I thought ofusing the additive theory of numbers to find pairs of twin primes from the first two pairs of twin primes. What I have formulated as a conjecture. In same time i presentmy idea about the solution of the Goldbach’s weak conjecture.

Quantitative nano-characterization of heterogeneous catalysts

1995 ◽  
Vol 53 ◽  
pp. 398-399
Author(s):  
P.A. Crozier ◽  
M. Pan
Keyword(s):  
Heterogeneous Catalysts ◽  
Low Dose ◽  
Imaging Techniques ◽  
Structural Features ◽  
Catalyst Characterization ◽  
New Developments ◽  
Double Phase ◽  
Phase Systems ◽  
Dose Imaging

Heterogeneous catalysts can be of varying complexity ranging from single or double phase systems to complicated mixtures of metals and oxides with additives to help promote chemical reactions, extend the life of the catalysts, prevent poisoning etc. Although catalysis occurs on the surface of most systems, detailed descriptions of the microstructure and chemistry of catalysts can be helpful for developing an understanding of the mechanism by which a catalyst facilitates a reaction. Recent years have seen continued development and improvement of various TEM, STEM and AEM techniques for yielding information on the structure and chemistry of catalysts on the nanometer scale. Here we review some quantitative approaches to catalyst characterization that have resulted from new developments in instrumentation.HREM has been used to examine structural features of catalysts often by employing profile imaging techniques to study atomic details on the surface. Digital recording techniques employing slow-scan CCD cameras have facilitated the use of low-dose imaging in zeolite structure analysis and electron crystallography. Fig. la shows a low-dose image from SSZ-33 zeolite revealing the presence of a stacking fault.

Instrumental Assessment in Cleft Palate Care

2013 ◽  
Vol 23 (2) ◽  
pp. 49-61 ◽  
Author(s):  
Jamie Perry ◽  
Graham Schenck
Keyword(s):  
Cleft Palate ◽  
New Developments ◽  
Perceptual Evaluation ◽  
Advantages And Disadvantages ◽  
Instrumental Assessment ◽  
Speech Language Pathologist ◽  
Hypernasal Speech ◽  
Perceptual Assessment ◽  
Velopharyngeal Function ◽  
And Function

Despite advances in surgical management, it is estimated that 20–30% of children with repaired cleft palate will continue to have hypernasal speech and require a second surgery to create normal velopharyngeal function (Bricknell, McFadden, & Curran, 2002; Härtel, Karsten, & Gundlach, 1994; McWilliams, 1990). A qualitative perceptual assessment by a speech-language pathologist is considered the most important step of the evaluation for children with resonance disorders (Peterson-Falzone, Hardin-Jones, & Karnell, 2010). Direct and indirect instrumental analyses should be used to confirm or validate the perceptual evaluation of an experienced speech-language pathologist (Paal, Reulbach, Strobel-Schwarthoff, Nkenke, & Schuster, 2005). The purpose of this article is to provide an overview of current instrumental assessment methods used in cleft palate care. Both direct and indirect instrumental procedures will be reviewed with descriptions of the advantages and disadvantages of each. Lastly, new developments for evaluating velopharyngeal structures and function will be provided.

New developments in hematopoetic stem cell transplantation

2002 ◽  
Vol 59 (11) ◽  
pp. 571-576 ◽  
Author(s):  
Gratwohl
Keyword(s):  
Stem Cell ◽  
Stem Cell Transplantation ◽  
Ältere Patienten ◽  
Solide Tumoren ◽  
Aplastische Anämie ◽  
New Developments ◽  
Lymphoproliferative Erkrankungen ◽  
Hematopoetic Stem Cell ◽  
Angeborene Erkrankungen ◽  
Hematopoetic Stem Cell Transplantation

Die Transplantation hämatopoietischer Stammzellen umfasst heute Stammzellen aus Knochenmark, peripherem Blut oder Nabelschnurblut. Leukämien, Lymphoproliferative Erkrankungen, aplastische Anämie und schwere angeborene Erkrankungen des Knochenmarkes sind Hauptindikationen für allogene, lymphoproliferative Erkrankungen, Leukämien, solide Tumoren und schwere Autoimmunkrankheiten Hauptindikationen für autologe Transplantationen. Neue Verfahren wie reduzierte Konditionierung und selektive Gabe von Spenderlymphozyten eröffnen die Stammzelltransplantation auch für ältere Patienten und für solche mit vorbestehender Komorbidität. Wenn immer möglich, wird die Transplantation ab Diagnose in den Behandlungsplan integriert. Die Wahl des Verfahrens und des geeigneten Zeitpunktes wird nach individuellem Risikoprofil erstellt. Alter oder Diagnose sind nicht mehr alleinige Entscheidungskriterien. Als etablierte Therapieform dürfte die hämatopoietische Stammzelltransplantation als Modell dienen für Stammzelltransplantationen auch anderer Organe.

What’s Next?

2011 ◽  
Vol 23 (1) ◽  
pp. 60-63 ◽  
Author(s):  
Peter Vorderer
Keyword(s):  
Cultural Differences ◽  
Factor Model ◽  
New Developments ◽  
Theoretical Concepts ◽  
Open Questions ◽  
Entertainment Products ◽  
Entertainment Theory

This paper points to new developments in the context of entertainment theory. Starting from a background of well-established theories that have been proposed and elaborated mainly by Zillmann and his collaborators since the 1980s, a new two-factor model of entertainment is introduced. This model encompasses “enjoyment” and “appreciation” as two independent factors. In addition, several open questions regarding cultural differences in humans’ responses to entertainment products or the usefulness of various theoretical concepts like “presence,” “identification,” or “transportation” are also discussed. Finally, the question of why media users are seeking entertainment is brought to the forefront, and a possibly relevant need such as the “search for meaningfulness” is mentioned as a possible major candidate for such an explanation.

Behavioral Testing of Mice Concerning Anxiety and Depression

2015 ◽  
Vol 223 (3) ◽  
pp. 151-156 ◽  
Author(s):  
Nina Schweinfurth ◽  
Undine E. Lang
Keyword(s):  
Environmental Influences ◽  
Sickness Behavior ◽  
Laboratory Research ◽  
Anxiety And Depression ◽  
Housing Conditions ◽  
Human Beings ◽  
Behavioral Testing ◽  
New Developments ◽  
Animal Trials ◽  
Resilience Factors

Abstract. In the development of new psychiatric drugs and the exploration of their efficacy, behavioral testing in mice has always shown to be an inevitable procedure. By studying the behavior of mice, diverse pathophysiological processes leading to depression, anxiety, and sickness behavior have been revealed. Moreover, laboratory research in animals increased at least the knowledge about the involvement of a multitude of genes in anxiety and depression. However, multiple new possibilities to study human behavior have been developed recently and improved and enable a direct acquisition of human epigenetic, imaging, and neurotransmission data on psychiatric pathologies. In human beings, the high influence of environmental and resilience factors gained scientific importance during the last years as the search for key genes in the development of affective and anxiety disorders has not been successful. However, environmental influences in human beings themselves might be better understood and controllable than in mice, where environmental influences might be as complex and subtle. The increasing possibilities in clinical research and the knowledge about the complexity of environmental influences and interferences in animal trials, which had been underestimated yet, question more and more to what extent findings from laboratory animal research translate to human conditions. However, new developments in behavioral testing of mice involve the animals’ welfare and show that housing conditions of laboratory mice can be markedly improved without affecting the standardization of results.

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