scholarly journals Learning Lyapunov (Potential) Functions from Counterexamples and Demonstrations

2017 ◽  
Author(s):  
Hadi Ravanbakhsh ◽  
Sriram Sankaranarayanan
Keyword(s):  
Potential Functions

Introduction

2018 ◽  
Author(s):  
Tim Lewens
Keyword(s):  
Social Sciences ◽  
Human Nature ◽  
Potential Functions ◽  
Human Psychology ◽  
Human Culture ◽  
The Third ◽  
Current State ◽  
Large Numbers ◽  
The Social ◽  
Compare And Contrast

Many evolutionary theorists have enthusiastically embraced human nature, but large numbers of evolutionists have also rejected it. It is also important to recognize the nuanced views on human nature that come from the side of the social sciences. This introduction provides an overview of the current state of the human nature debate, from the anti-essentialist consensus to the possibility of a Gray’s Anatomy of human psychology. Three potential functions for the notion of species nature are identified. The first is diagnostic, assigning an organism to the correct species. The second is species-comparative, allowing us to compare and contrast different species. The third function is contrastive, establishing human nature as a foil for human culture. The Introduction concludes with a brief synopsis of each chapter.

scholarly journals Genome-wide identification of the CCCH gene family in rose (Rosa chinensis Jacq.) reveals its potential functions

2021 ◽  
Vol 35 (1) ◽  
pp. 517-526
Author(s):  
Cai-hua Li ◽  
Qing-xi Fang ◽  
Wen-Jing Zhang ◽  
Yu-huan Li ◽  
Jin-zhu Zhang ◽  
...  
Keyword(s):  
Gene Family ◽  
Potential Functions ◽  
Rosa Chinensis ◽  
Genome Wide

scholarly journals Determination of differential pencils with impulse from interior spectral data

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Yongxia Guo ◽  
Guangsheng Wei ◽  
Ruoxia Yao
Keyword(s):  
Spectral Data ◽  
Interior Point ◽  
Potential Functions ◽  
Inverse Spectral Problems ◽  
Spectral Problems ◽  
Inverse Spectral ◽  
Differential Pencils ◽  
Second Spectrum

Abstract In this paper, we are concerned with the inverse spectral problems for differential pencils defined on $[0,\pi ]$ [ 0 , π ] with an interior discontinuity. We prove that two potential functions are determined uniquely by one spectrum and a set of values of eigenfunctions at some interior point $b\in (0,\pi )$ b ∈ ( 0 , π ) in the situation of $b=\pi /2$ b = π / 2 and $b\neq \pi /2$ b ≠ π / 2 . For the latter, we need the knowledge of a part of the second spectrum.

scholarly journals Potential Functions and Thermodynamic Properties of UC, UN, and UH

2020 ◽  
Vol 2020 ◽  
pp. 1-6
Author(s):  
Shuang-Ling Tang ◽  
Yu Wang ◽  
Qi-Ying Xia ◽  
Xue-Hai Ju
Keyword(s):  
Configuration Interaction ◽  
Density Functional ◽  
Least Square Method ◽  
Potential Functions ◽  
Least Square ◽  
Basis Set ◽  
Dissociation Energies ◽  
Anharmonicity Constant ◽  
Different Temperatures ◽  
Relationship Of

Potential energy surface scanning for UC, UN, and UH was performed by configuration interaction (CI), coupled cluster singles and doubles (CCSD) excitation, quadratic configuration interaction (QCISD (T)), and density functional theory PBE1 (DFT-PBE1) methods in coupling with the ECP80MWB_AVQZ + 2f basis set for uranium and 6 − 311 + G∗ for carbon, hydrogen, and nitrogen. The dissociation energies of UC, UN, and UH are 5.7960, 4.5077, and 2.6999 eV at the QCISD (T) levels, respectively. The calculated energy was fitted to the potential functions of Morse, Lennard-Jones, and Rydberg by using the least square method. The anharmonicity constant of UC is 0.0047160. The anharmonic frequency of UC is 780.27 cm−1 which was obtained based on the PBE1 results. For UN, the anharmonicity constant is 0.0049827. The anharmonic frequency is 812.65 cm−1 which was obtained through the PBE1 results. For UH, the anharmonicity constant is 0.017300. The anharmonic frequency obtained via the QCISD (T) results is 1449.8 cm−1. The heat capacity and entropy in different temperatures were calculated using anharmonic frequencies. These properties are in good accordance with the direct DFT-UPBE1 results (for UC and UN) and QCISD (T) results (for UH). The relationship of entropy with temperature was established.

scholarly journals 1H, 13C and 15N assignment of stem-loop SL1 from the 5'-UTR of SARS-CoV-2

2021 ◽  
Author(s):  
Christian Richter ◽  
Katharina F. Hohmann ◽  
Sabrina Toews ◽  
Daniel Mathieu ◽  
Nadide Altincekic ◽  
...  
Keyword(s):  
Life Cycle ◽  
Chemical Shift ◽  
Base Pair ◽  
Chemical Shift Assignment ◽  
Potential Functions ◽  
Regulatory Rna ◽  
Structural Element ◽  
Stem Loop ◽  
Internal Loop ◽  
Shift Assignment

AbstractThe stem-loop (SL1) is the 5'-terminal structural element within the single-stranded SARS-CoV-2 RNA genome. It is formed by nucleotides 7–33 and consists of two short helical segments interrupted by an asymmetric internal loop. This architecture is conserved among Betacoronaviruses. SL1 is present in genomic SARS-CoV-2 RNA as well as in all subgenomic mRNA species produced by the virus during replication, thus representing a ubiquitous cis-regulatory RNA with potential functions at all stages of the viral life cycle. We present here the 1H, 13C and 15N chemical shift assignment of the 29 nucleotides-RNA construct 5_SL1, which denotes the native 27mer SL1 stabilized by an additional terminal G-C base-pair.

Determination of an impulsive diffusion operator from interior spectral data

Analysis ◽  
2020 ◽  
Vol 40 (1) ◽  
pp. 39-45
Author(s):  
Yasser Khalili ◽  
Dumitru Baleanu
Keyword(s):  
Inverse Problem ◽  
Spectral Data ◽  
Potential Functions ◽  
Half Line ◽  
Internal Point ◽  
Diffusion Operator ◽  
Impulsive Diffusion

AbstractIn the present work, the interior spectral data is used to investigate the inverse problem for a diffusion operator with an impulse on the half line. We show that the potential functions {q_{0}(x)} and {q_{1}(x)} can be uniquely established by taking a set of values of the eigenfunctions at some internal point and one spectrum.

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