scholarly journals Determinantal forms and recursive relations of the Delannoy two-functional sequence

2020 ◽  
Vol 4 (3) ◽  
pp. 184-193
Author(s):  
Feng Qİ ◽  
Muhammet Cihat DAĞLI ◽  
Wei-shih DU
Keyword(s):  
Functional Sequence ◽  
Recursive Relations

scholarly journals Determinantal forms and recursive relations of the Delannoy two-functional sequence

2020 ◽  
Author(s):  
Feng Qi ◽  
Muhammet Cihat Dagli ◽  
Wei-Shih Du
Keyword(s):  
Nonlinear Analysis ◽  
Functional Sequence ◽  
Delannoy Numbers ◽  
Recursive Relations

In the paper, the authors establish closed forms for the Delannoy two-functional sequence and its difference in terms of the Hessenberg determinants, derive recursive relations for the Delannoy two-functional sequence and its difference, and deduce closed forms in terms of the Hessenberg determinants and recursive relations for the Delannoy one-functional sequence, the Delannoy numbers, and central Delannoy numbers. This preprint has been formally published as "Feng Qi, Muhammet Cihat Dagli, and Wei-Shih Du, Determinantal forms and recursive relations of the Delannoy two-functional sequence, Advances in the Theory of Nonlinear Analysis and its Applications, vol. 4, no. 3, pp. 184--193 (2020); available online at https://doi.org/10.31197/atnaa.772734."

Syncretism and Containment in Spatial Deixis

2018 ◽  
Author(s):  
Eric Lander ◽  
Liliane Haegeman
Keyword(s):  
Universal Grammar ◽  
Functional Sequence ◽  
Wide Range ◽  
Spatial Deixis

This chapter investigates spatial-deictic systems (e.g. English this vs. that, or Latin hīc vs. iste vs. ille) from a wide range of typologically diverse languages. We propose that spatial deixis is encoded as a three-way contrast in Universal Grammar (UG): Proximal ‘close to speaker,’ Medial ‘close to hearer,’ and Distal ‘far from speaker and hearer.’ The empirical core of the chapter focuses on two phenomena: (i) syncretism and (ii) morphological containment. It is shown that only certain kinds of syncretism patterns are attested crosslinguistically: Syncretism cannot target Proximal and Distal without also targeting Medial (a case of *ABA). Furthermore, the cases of morphological containment we have found show that Distal contains Medial, which, in turn, contains Proximal. A functional sequence of three heads is posited that captures our generalizations in a simple and effective way.

State Estimation Using Randomly Delayed Measurements

1993 ◽  
Vol 115 (1) ◽  
pp. 19-26 ◽  
Author(s):  
A. Ray ◽  
L. W. Liou ◽  
J. H. Shen
Keyword(s):  
State Estimation ◽  
Minimum Variance ◽  
The State ◽  
Sensor Data ◽  
State Estimator ◽  
Uniform Asymptotic Stability ◽  
Simulation Experiments ◽  
State Estimate ◽  
Sampling Instant ◽  
Recursive Relations

This paper presents a modification of the conventional minimum variance state estimator to accommodate the effects of randomly varying delays in arrival of sensor data at the controller terminal. In this approach, the currently available sensor data is used at each sampling instant to obtain the state estimate which, in turn, can be used to generate the control signal. Recursive relations for the filter dynamics have been derived, and the conditions for uniform asymptotic stability of the filter have been conjectured. Results of simulation experiments using a flight dynamic model of advanced aircraft are presented for performance evaluation of the state estimation filter.

scholarly journals Recursive relations for a quiver gauge theory

2006 ◽  
Vol 2006 (10) ◽  
pp. 026-026 ◽  
Author(s):  
Jaemo Park ◽  
Woojoo Sim
Keyword(s):  
Gauge Theory ◽  
Quiver Gauge Theory ◽  
Recursive Relations

scholarly journals EpicPCR 2.0: Technical and Methodological Improvement of a Cutting-Edge Single-Cell Genomic Approach

2021 ◽  
Vol 9 (8) ◽  
pp. 1649
Author(s):  
Véronica L. Roman ◽  
Christophe Merlin ◽  
Marko P. J. Virta ◽  
Xavier Bellanger
Keyword(s):  
Microbial Communities ◽  
Single Cell ◽  
Operational Taxonomic Unit ◽  
Rrna Gene ◽  
Environmental Matrices ◽  
Taxonomic Assignment ◽  
Integrative And Conjugative Elements ◽  
Functional Sequence ◽  
Methodological Improvement ◽  
New Gene

EpicPCR (Emulsion, Paired Isolation and Concatenation PCR) is a recent single-cell genomic method based on a fusion-PCR allowing us to link a functional sequence of interest to a 16S rRNA gene fragment and use the mass sequencing of the resulting amplicons for taxonomic assignment of the functional sequence-carrying bacteria. Although it is interesting because it presents the highest efficiency for assigning a bacterial host to a marker, epicPCR remains a complex multistage procedure with technical difficulties that may easily impair the approach depth and quality. Here, we described how to adapt epicPCR to new gene targets and environmental matrices while identifying the natural host range of SXT/R391 integrative and conjugative elements in water microbial communities from the Meurthe River (France). We notably show that adding a supplementary PCR step allowed us to increase the amplicon yield and thus the number of reads obtained after sequencing. A comparison of operational taxonomic unit (OTU) identification approaches when using biological and technical replicates demonstrated that, although OTUs can be validated when obtained from three out of three technical replicates, up to now, results obtained from two or three biological replicates give a similar and even a better confidence level in OTU identification, while allowing us to detect poorly represented SXT/R391 hosts in microbial communities.

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