Article
Plant Sciences
Jose Luis Rodriguez-Lorenzo, Jose Javier Martin-Gomez, Angel Tocino, Ana Juan, Bohuslav Janousek, Emilio Cervantes
Summary: The quantitative morphological analysis of Silene seeds based on geometric models allows for the study of shape variation between species and populations, as well as the identification of seeds in Silene species. This method can also be applied to other plant species.
Review
Horticulture
Emilio Cervantes, Jose Luis Rodriguez-Lorenzo, Diego Gutierrez del Pozo, Jose Javier Martin-Gomez, Bohuslav Janousek, Angel Tocino, Ana Juan
Summary: Little attention has been paid to the resemblance between seed silhouettes and geometric figures in the past. However, geometric models can be used to describe and quantify seed shape. Algebraic expressions and Fourier equations can be used to represent and analyze seed silhouettes. The geometric properties of seed silhouettes are important in the study of seed development and plant taxonomy, particularly in Silene species.
Article
Mathematics
Isra Al-Shbeil, Muhammad Imran Faisal, Muhammad Arif, Muhammad Abbas, Reem K. Alhefthi
Summary: One of the challenging tasks in function theory is obtaining accurate estimates of coefficients in the Taylor-Maclaurin series of analytic univalent functions. Researchers use Caratheodory functions to achieve these bounds. The problem of determining the sharp bound of the third-order Hankel determinant is the most difficult among coefficient-related problems. This study aims to find the sharp bound of the third-order Hankel determinant using the methodology of Caratheodory function family, and also examines other coefficient-related problems in the family of bounded turning functions associated with a cardioid-shaped domain.
Article
Engineering, Chemical
Chuang Zhao, Xinggang Zhang, Qingqing Gao, Chengbo Li
Summary: This study constructs cardioid particles using parametric equation, provides contact detection algorithm and geometric parameter calculation methods, and simulates the discrete element method. It investigates the influence of different particle shapes on the dynamic properties of the system.
Review
Biochemistry & Molecular Biology
Mariangela Scalise, Fabiola Marino, Luca Salerno, Eleonora Cianflone, Claudia Molinaro, Nadia Salerno, Antonella De Angelis, Giuseppe Viglietto, Konrad Urbanek, Daniele Torella
Summary: Organoids are tiny, self-organized, three-dimensional tissue cultures derived from stem cell differentiation, mimicking specific tissue structures in vitro with great potential for a variety of applications. By exploiting the ability of cells to re-aggregate and reconstruct original organ architecture, organoids have the ability to overcome limitations of traditional 2D cell cultures, showing high promise in cardiovascular research.
INTERNATIONAL JOURNAL OF MOLECULAR SCIENCES
(2021)
Article
Plant Sciences
Jose Javier Martin-Gomez, Marco Porceddu, Gianluigi Bacchetta, Emilio Cervantes
Summary: Describing and quantifying seed shape using geometric models allows for accurate comparison between different species or populations. In this study, geometric models were applied to the shape quantification of Silene species seeds, resulting in the identification of distinct groups based on geographic origin. This method provides a promising technique for investigating relationships between related species and advancing taxonomy.
Article
Physics, Multidisciplinary
Shuning Sun, Yonggang Peng, Xianghong Hu, Yujun Zheng
Summary: This Letter introduces a novel unified quantum speed limit bound for both Hermitian and non-Hermitian quantum systems, quantifying the bound by the changing rate of phase of the quantum system. The bound surpasses previous limitations and provides further insights into the evolution of quantum states, as well as offering a tighter upper bound. Additionally, the discussion on the generalized Margolus-Levitin bound is included.
PHYSICAL REVIEW LETTERS
(2021)
Article
Mathematics, Applied
Lei Shi, Hari Mohan Srivastava, Nak Eun Cho, Muhammad Arif
Summary: In this paper, a new simple proof is provided for the sharp bounds of coefficient functionals related to Caratheodory functions, and a correction on the extremal functions is made. The result is then applied to investigate the initial coefficient bounds of a subclass of bounded turning functions R-P associated with a cardioid domain. The bounds of the Fekete-Szego-type inequality and the second- and third-order Hankel determinants are calculated for functions in this class, and all the results are proven to be sharp.
Article
Mathematics
Domenico Felice, Carlo Cafaro
Summary: This paper presents explicit non-trivial differential geometry-based proofs regarding the canonical divergence for a special type of dually flat manifold represented by an arbitrary 1-dimensional path gamma. By highlighting the geometric structure of this particular canonical divergence, the study suggests a way to select a general canonical divergence using the information from a general dual structure in a minimal way.
Article
Physics, Multidisciplinary
Avik Banerjee, Tanay Kibe, Nehal Mittal, Ayan Mukhopadhyay, Pratik Roy
Summary: Investigating principles for storage of quantum information at finite temperature with minimal need for error correction is an active area of research. In this study, the authors explore this question in two-dimensional holographic conformal field theories using the quantum null energy condition. They show that a logical qubit can be encoded into excitations on a finite temperature background, and that erasure can be achieved by energy-momentum inflow. The authors also derive the minimum temperature needed for erasure, and find that fast erasure is impossible for qubits localized over a specific length interval.
PHYSICAL REVIEW LETTERS
(2022)
Article
Astronomy & Astrophysics
Jian-Ming Yan, Cheng Liu, Tao Zhu, Qiang Wu, Anzhong Wang
Summary: In this paper, the publicly available observational data of 17 stellar stars orbiting Sgr A* are used to test the quantum extension of Schwarzschild spacetime in loop quantum gravity (LQG). The effects of LQG on the pericenter advance of the stellar stars are calculated and compared with astrometric and spectroscopic data. Monte Carlo Markov Chain (MCMC) simulations are performed, and no significant evidence of the quantum-extended Schwarzschild black hole from LQG is found. The result of S2 provides the strongest bound on the LQG parameter A lambda, placing an upper bound at 95% confidence level of A lambda < 0.302.
Article
Physics, Applied
Misael Ruiz-Veloz, Geminiano Martinez-Ponce, Rafael I. Fernandez-Ayala, Rigoberto Castro-Beltran, Luis Polo-Parada, Bartolome Reyes-Ramirez, Gerardo Gutierrez-Juarez
Summary: This study investigates the propagation of laser-induced ultrasound under thermal and stress confinement conditions and the mathematical modeling when these conditions are not met. By obtaining an exact solution of the boundary value problem for the 1D-wave equation in both the frequency and time domain, the role of thermal correction in overcoming theoretical signal decay issues is discussed.
JOURNAL OF APPLIED PHYSICS
(2021)
Article
Mathematics
Anbhu Swaminathan, Lateef Ahmad Wani
Summary: This paper explores the properties of a class of analytic functions involving Caratheodory functions and special geometries, obtaining some implications and estimated conditions for these functions, as well as their applications in nephroid starlike functions.
MATHEMATICA SLOVACA
(2022)
Article
Mathematics
Tomas Recio, Rafael Losada, Zoltan Kovacs, Carlos Ueno
Summary: The newly developed GeoGebra tools combine computational algebraic geometry algorithms and graphic features for automated deduction and discovery of geometric statements. Through a case study of a classic geometric inequality, the paper explores the capabilities and limitations of these tools, showing how to overcome difficulties by using dynamic color scanning and symbolic computation approaches. The proposal is made for developing and merging such features in the future progress of GeoGebra automated reasoning tools.
Article
Chemistry, Analytical
Simon Williams, Arthur George Suvorov, Zengfu Wang, Bill Moran
Summary: Fisher information measures the performance of a sensor in estimating parameters from data. This paper discusses how to optimize information collection by reconfiguring a sensor through changes in parameters. Geodesics on the configuration manifold optimize information gain.
