scholarly journals Periodic property of the time-fractional Kundu–Mukherjee–Naskar equation

2020 ◽  
Vol 19 ◽  
pp. 103345 ◽  
Author(s):  
Ji-Huan He ◽  
Yusry O. El-Dib
Keyword(s):  
2020 ◽  
pp. 397-402
Author(s):  
Francisco Torrens ◽  
Gloria Castellano
Keyword(s):  

2020 ◽  
Vol 19 (Vol 19, No 3 (2020)) ◽  
pp. 535-557
Author(s):  
Yuri POZDNYAKOV ◽  
Maria LAPISHKO

Main methodological principles of mathematically describing the patterns of changes in the asset’s value/depreciation dynamics are studied in cases when economic measurements are performed by independent expert evaluation. The basic hypothesis suggests that for all tangible assets, which are characterized by redeemable depreciation, there is a possibility of negative periodic depreciation during short-term service periods when remedial and repair work to eliminate depreciation signs is carried out. The most influential price-forming factors that determine the asset’s depreciation indexes and indicators of value dynamics over long periods are identified and analysed. It is shown that when this period is comparable to the asset’s service life, most of tangible assets are characterized by both positive and negative periodic depreciation indexes at separate times. It is noted that the models used in accounting documents do not describe the actual changes in the value dynamics, and amortization in particular, since they do not take into account the possibility of increasing asset value and periodic negative depreciation. A new kind of mathematical model is proposed that takes into account the opposite signs of periodic depreciation in the operation and service periods. It is proved that the actual indicators of fair market value and periodic depreciation indexes of these types of assets can be determined by performing periodic independent expert evaluation (revaluation).


1942 ◽  
Vol 7 (1) ◽  
pp. 73-80 ◽  
Author(s):  
W. L. Edge

The following pages have been written in consequence of reading some paragraphs by Reye, in which he obtains, from a quartic surface, a chain of contravariant quartic envelopes and of covariant quartic loci. This chain is, in general, unending; but Reye at once foresaw the possibility of the quartic surface being such that the chain would be periodic. The only example which he gave of periodicity being realised was that in which the quartic surface was a repeated quadric. It is reasonable to suppose that, had he been able to do so, he would have chosen some surface which had the periodic property without being degenerate; in the present note two such surfaces are signalised.


2000 ◽  
Vol 73 (5) ◽  
pp. 398
Author(s):  
Scott J. Beslin ◽  
Brian K. Heck
Keyword(s):  

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Changjin Xu ◽  
Peiluan Li ◽  
Maoxin Liao

In this paper, a discrete ratio-dependent food-chain system with delay is investigated. By using Gaines and Mawhin’s continuation theorem of coincidence degree theory and the method of Lyapunov function, a set of sufficient conditions for the existence of positive periodic solutions and global asymptotic stability of the model are established.


2018 ◽  
Vol 173 ◽  
pp. 03063
Author(s):  
Yang Li ◽  
Yulian Zhao ◽  
Jian Shao

Data visualizations are recently used for providing an access to complex data and information. In this paper, the visualization method is adopted to find possible ways of improving CNG secondary filling station’s refilling efficiency. Based on single attribute of volume, initial and final pressure, the visualization results show that one possible way to improve refilling efficiency is to by avoid abnormal inefficient refilling behaviors with small volume, higher initial pressure or lower final pressure. Based on time, the visualization results, considering the periodic property of refilling behaviors, present another possible way to improve refilling efficiency through reducing inefficient use of time. From the refilling log’s visualization, it is found that there is room for improvement in refilling efficiency and possible improving ways are primary studied. But the reasons of these abnormal actions are needed to be studied in future research.


2016 ◽  
Vol 113 (45) ◽  
pp. E7126-E7135 ◽  
Author(s):  
Polly Yingshan Hsu ◽  
Lorenzo Calviello ◽  
Hsin-Yen Larry Wu ◽  
Fay-Wei Li ◽  
Carl J. Rothfels ◽  
...  

Deep sequencing of ribosome footprints (ribosome profiling) maps and quantifies mRNA translation. Because ribosomes decode mRNA every 3 nt, the periodic property of ribosome footprints could be used to identify novel translated ORFs. However, due to the limited resolution of existing methods, the 3-nt periodicity is observed mostly in a global analysis, but not in individual transcripts. Here, we report a protocol applied to Arabidopsis that maps over 90% of the footprints to the main reading frame and thus offers super-resolution profiles for individual transcripts to precisely define translated regions. The resulting data not only support many annotated and predicted noncanonical translation events but also uncover small ORFs in annotated noncoding RNAs and pseudogenes. A substantial number of these unannotated ORFs are evolutionarily conserved, and some produce stable proteins. Thus, our study provides a valuable resource for plant genomics and an efficient optimization strategy for ribosome profiling in other organisms.


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