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Journal articles on the topic 'Surface characterizations'

Author: Grafiati

Published: 25 May 2024

Last updated: 31 July 2025

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1

MALGOUYRES, RÉMY, and GILLES BERTRAND. "COMPLETE LOCAL CHARACTERIZATION OF STRONG 26-SURFACES: CONTINUOUS ANALOGS FOR STRONG 26-SURFACES." International Journal of Pattern Recognition and Artificial Intelligence 13, no. 04 (1999): 465–84. http://dx.doi.org/10.1142/s0218001499000288.

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In Ref. 6, two similar characterizations of discrete surfaces of ℤ3 are proposed which are called strong 18-surfaces and strong 26-surfaces. The proposed characterizations consist in some natural global properties of surfaces. In this paper, we first give local necessary conditions for an object to be a strong 26-surface. An object satisfying these local properties is called a near strong 26-surface. Then we construct continuous analogs for near strong 26-surfaces and, using the continuous Jordan Theorem, we prove that the necessary local conditions previously introduced in fact give a complet

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Wang, Jingyu, Min Gao, Yonglin He, and Zhilin Yang. "Ultrasensitive and ultrafast nonlinear optical characterization of surface plasmons." APL Materials 10, no. 3 (2022): 030701. http://dx.doi.org/10.1063/5.0083239.

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Amid the rapid development of nanosciences and nanotechnologies, plasmonics has emerged as an essential and fascinating discipline. Surface plasmons (SPs) lay solid physical foundations for plasmonics and have been broadly applied to ultrahigh-resolution spectroscopy, optical modulation, renewable energy, communication technology, etc. Sensitive optical characterizations for SPs, including far/near-field optics, spatial-resolved spectroscopy, and time-resolved behaviors of SPs, have prompted intense interest in diverse fields. In this Research Update, the ultrasensitive optical characterizatio

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Önder, Mehmet, and H. Hüseyin Uğurlu. "Some Results and Characterizations for Mannheim Offsets of the Ruled Surfaces." Boletim da Sociedade Paranaense de Matemática 34, no. 1 (2016): 85–98. http://dx.doi.org/10.5269/bspm.v34i1.24756.

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In this study, we give the dual characterizations of Mannheim offsets of ruled surfaces in terms of their integral invariants and obtain a new characterization of the Mannheim offsets of developable surface, i.e., we show that the striction lines of developable Mannheim offset surfaces are Mannheim partner curves. Furthermore, we obtain the relationships between the area of projections of spherical images for Mannheim offsets of ruled surfaces and their integral invariants.

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Liu, Xiao, Fan Yang, Maokun Li, and Shenheng Xu. "Generalized Boundary Conditions in Surface Electromagnetics: Fundamental Theorems and Surface Characterizations." Applied Sciences 9, no. 9 (2019): 1891. http://dx.doi.org/10.3390/app9091891.

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Generalized boundary conditions (GBCs) for electromagnetic surfaces are investigated in this paper, which can be used to analytically characterize field discontinuities across two-dimensional surfaces. First, five representative features are described to categorize various surface problems which require proper GBC-based characterization procedures. Next, the generalized boundary conditions are discussed in details, in association with impedance boundary conditions, generalized sheet transition conditions, and surface scattering coefficients. Then an extraction method for surface susceptibiliti

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Birman, Graciela S., and Graciela M. Desideri. "A surface that contains many Lorentzian circles." Proceedings of the Edinburgh Mathematical Society 53, no. 2 (2010): 293–98. http://dx.doi.org/10.1017/s0013091508000382.

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AbstractThe characterization of a surface by means of the circles contained in it has been studied by S. Izuyima, A. Takiyama, K. Ogiu, R. Takagi and N. Takeuchi, among others. The aim of this paper is to show some characterizations of a pseudosphere in Lorentz 3-space, assuming the existence of Lorentzian and Euclidean circles.

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Russ, John C. "Characterization of Surface Roughness." Microscopy and Microanalysis 6, S2 (2000): 916–17. http://dx.doi.org/10.1017/s1431927600037077.

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Because of the session at this Microscopy and Microanalysis 2000 meeting concerned with the microanalysis of irregular surfaces, it seems appropriate to briefly review the methods used for the characterization of rough surfaces. This includes both mathematical tools for the concise description of surface roughness, and instruments used to acquire the necessary data. These methods are widely used in industry to characterize and specify the roughness of surfaces prepared by various machining, grinding, polishing, chemical etching, and physical and chemical deposition techniques, and to correlate

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7

Ghassa, Sina, Hadi Abdollahi, Mahdi Gharabaghi, Saeed Chehreh Chelgani, and Mohammad Jafari. "The Surface Chemistry Characterization of Pyrite, Sphalerite and Molybdenite after Bioleaching." Solid State Phenomena 262 (August 2017): 487–91. http://dx.doi.org/10.4028/www.scientific.net/ssp.262.487.

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The mineral surface chemistry characterization is essential to describe the dissolution kinetics in leaching and bioleaching. Five different methods, including X-ray diffraction (XRD), Scanning Electron Microscopy (SEM), Energy-Dispersive X-ray Spectroscopy (EDS), Fourier Transform Infrared Spectroscopy (FTIR) and Raman Spectroscopy, have been applied to study the surface chemistry changes during pyrite, sphalerite and molybdenite bioleaching. The surface characterizations have been done for samples before and after biological and chemical leaching. The SEM images illustrated that the minerals

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8

Bartkowiak, Tomasz, Johan Berglund, and Christopher A. Brown. "Multiscale Characterizations of Surface Anisotropies." Materials 13, no. 13 (2020): 3028. http://dx.doi.org/10.3390/ma13133028.

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Anisotropy can influence surface function and can be an indication of processing. These influences and indications include friction, wetting, and microwear. This article studies two methods for multiscale quantification and visualization of anisotropy. One uses multiscale curvature tensor analysis and shows anisotropy in horizontal coordinates i.e., topocentric. The other uses multiple bandpass filters (also known as sliding bandpass filters) applied prior to calculating anisotropy parameters, texture aspect ratios (Str) and texture directions (Std), showing anisotropy in horizontal directions

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9

Önder, Mehmet, and H. Hüseyin Uğurlu. "On the invariants of Mannheim offsets of timelike ruled surfaces with spacelike rulings." Asian-European Journal of Mathematics 08, no. 01 (2015): 1550009. http://dx.doi.org/10.1142/s1793557115500096.

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In this paper, we give the characterizations for Mannheim offsets of timelike ruled surfaces with spacelike rulings in dual Lorentzian space [Formula: see text]. We obtain the relations between terms of their integral invariants and also we give new characterization for the Mannheim offsets of developable timelike ruled surface. Moreover, we find relations between the area of projections of spherical images for Mannheim offsets of timelike ruled surfaces and their integral invariants.

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10

CHAIKA, JON, and KATHRYN LINDSEY. "Horocycle flow orbits and lattice surface characterizations." Ergodic Theory and Dynamical Systems 39, no. 06 (2017): 1441–61. http://dx.doi.org/10.1017/etds.2017.82.

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The orbit closure of any translation surface under the horocycle flow in almost any direction equals its $\text{SL}_{2}(\mathbb{R})$ orbit closure. This result gives rise to new characterizations of lattice surfaces in terms of the horocycle flow.

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11

Poirson, Allen B., Brian A. Wandell, Denise C. Varner, and David H. Brainard. "Surface characterizations of color thresholds." Journal of the Optical Society of America A 7, no. 4 (1990): 783. http://dx.doi.org/10.1364/josaa.7.000783.

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12

BAŞ, Selçuk, and Talat KÖRPINAR. "Modified Roller Coaster Surface in Space." Mathematics 7, no. 2 (2019): 195. http://dx.doi.org/10.3390/math7020195.

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In this paper, a new modified roller coaster surface according to a modified orthogonal frame is investigated in Euclidean 3-space. In this method, a new modified roller coaster surface is modeled. Both the Gaussian curvature and mean curvature of roller coaster surfaces are investigated. Subsequently, we obtain several characterizations in Euclidean 3-space.

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Ramezani, Maziar, Zaidi Mohd Ripin, Tim Pasang, and Cho-Pei Jiang. "Surface Engineering of Metals: Techniques, Characterizations and Applications." Metals 13, no. 7 (2023): 1299. http://dx.doi.org/10.3390/met13071299.

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This paper presents a comprehensive review of recent advancements in surface engineering of metals, encompassing techniques, characterization methods and applications. The study emphasizes the significance of surface engineering in enhancing the performance and functionality of metallic materials in various industries. The paper discusses the different techniques employed in surface engineering, including physical techniques such as thermal spray coatings and chemical techniques such as electroplating. It also explores characterization methods used to assess the microstructural, topographical,

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14

EREN, KEMAL. "ON THE HARMONIC EVOLUTE SURFACES OF TUBULAR SURFACES IN EUCLIDEAN 3-SPACE." Journal of Science and Arts 21, no. 2 (2021): 449–60. http://dx.doi.org/10.46939/j.sci.arts-21.2-a12.

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The aim of this study is to investigate and interpret the geometric properties of the harmonic evolute surfaces of the tubular surfaces in Euclidean 3-space. For this purpose, the harmonic evolute surface is defined by considering the definitions and theorems for the tubular surface constructed in the Euclidean 3-space. The characterizations of the s and ψ parameter curves of the harmonic evolute surface obtained are examined, and then parameter curves of the tubular surface and harmonic evolute surface are compared. Finally, the harmonic evolute surface of a tubular surface is given an exampl

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15

Zhao, Zehui, Shiping Zhong, and Xinjie Wan. "Geometry of solutions of the geometric curve flows in space." Electronic Journal of Applied Mathematics 1, no. 3 (2023): 16–25. http://dx.doi.org/10.61383/ejam.20231340.

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In this study, we aim at investigating the geometry of surfaces corresponding to the geometry of solutions of the geometric curve flows in Euclidean 3-space \(\mathbb R^3\) considering the Frenet frame. In particular, we express some geometric properties and some characterizations of \(u\)-parameter curves and \(t\)-parameter curves of some trajectory surfaces including the Hasimoto surface, the shortening trajectory surface, the minimal trajectory surface, the \(\sqrt{\tau}\)-normal trajectory surface in \(\mathbb R^3\).

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16

Dong, X. L., Z. D. Zhang, S. R. Jin, W. M. Sun, and Y. C. Chuang. "Surface characterizations of ultrafine Ni particles." Nanostructured Materials 10, no. 4 (1998): 585–92. http://dx.doi.org/10.1016/s0965-9773(98)00101-9.

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17

Ersoy, Soley, Kemal Eren, and Abdussamet Çalışkan. "Characterizations of Spatial Quaternionic Partner-Ruled Surfaces." Axioms 13, no. 9 (2024): 612. http://dx.doi.org/10.3390/axioms13090612.

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In this paper, we investigate the spatial quaternionic expressions of partner-ruled surfaces. Moreover, we formulate the striction curves and dralls of these surfaces by use of the quaternionic product. Furthermore, the pitches and angles of pitches are interpreted for the spatial quaternionic ruled surfaces that are closed. Additionally, we calculate the integral invariants of these surfaces using quaternionic formulas. Finally, the partner-ruled surfaces of a given spatial quaternionic ruled surface are demonstrated as an example, and their graphics are drawn.

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18

Sun, Ying-Sui, Yu-An Lin, and Her-Hsiung Huang. "Using Genipin to Immobilize Bone Morphogenetic Protein-2 on Zirconia Surface for Enhancing Cell Adhesion and Mineralization in Dental Implant Applications." Polymers 12, no. 11 (2020): 2639. http://dx.doi.org/10.3390/polym12112639.

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Our objective in this study was to promote cell responses through the immobilization of bone morphogenetic protein-2 (BMP-2) on roughened zirconia (ZrO2) through using the natural cross-linker genipin in dental implant applications. Field emission scanning electron microscope, X-ray photoelectron spectroscopy, and attenuated total reflection-Fourier transform infrared spectroscopy were used to analyze the surface characterizations, including the topography, chemistry, and functional groups, respectively, of the test specimens. Human bone marrow mesenchymal stem cells (hMSCs) were used to detec

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19

Altay Suroǧlu, Gülden. "Some New Characterizations Of Parallel Translation Surface According To Bishop Frame With Timelike M1 In Minkowski 3-Space." ITM Web of Conferences 22 (2018): 01030. http://dx.doi.org/10.1051/itmconf/20182201030.

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In this paper we consider parallel translation surfaces, which are generated by spacelike curves, according to Bishop frame with timelike M1 in Minkowski 3- space. Then, we obtain some characterizations of these surface.

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20

Solouma, E. M., and Ibrahim AL-Dayel. "Harmonic Evolute Surface of Tubular Surfaces via B -Darboux Frame in Euclidean 3-Space." Advances in Mathematical Physics 2021 (November 18, 2021): 1–7. http://dx.doi.org/10.1155/2021/5269655.

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In this article, we look at a surface associated with real-valued functions. The surface is known as a harmonic surface, and its unit normal vector and mean curvature have been used to characterize it. We use the Bishop-Darboux frame ( B -Darboux frame) in Euclidean 3-space E 3 to study and explain the geometric characteristics of the harmonic evolute surfaces of tubular surfaces. The characterizations of the harmonic evolute surface’s ϱ and ς parameter curves are evaluated, and then, they are compared. Finally, an example of a tubular surface’s harmonic evolute surface is presented, along wit

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21

Liu, Yanpei. "Surface Embeddability of Graphs via Reductions." International J.Math. Combin. Vol.3 (May 1, 2011): 61–67. https://doi.org/10.5281/zenodo.9152.

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22

B. A. Ezekoye, B. A. Ezekoye, V. A. Ezekoye V. A. Ezekoye, F. I. Ezema F. I. Ezema, P. O. Offor P. O. Offor, and B. E. Aroh B. E. Aroh. "Synthesis, Structural and Surface Morphological Characterizations of Tin Dioxide Nanoparticles Via Chemical Route." International Journal of Scientific Research 2, no. 10 (2012): 1–4. http://dx.doi.org/10.15373/22778179/oct2013/120.

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23

Jawad. K. Oleiwi, Nesreen Dakhel Fahad, Marwah Mohammed Abdulridha, Muhannad Al-Waily, and Emad Kadum Njim. "Laser Treatment Effect on Fatigue Characterizations for Steel Alloy Beam Coated with Nanoparticles." International Journal of Nanoelectronics and Materials (IJNeaM) 16, no. 1 (2024): 105–19. http://dx.doi.org/10.58915/ijneam.v16i1.930.

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Previous work investigated the effect of nano coating for steel beams on the fatigue characterization and calculated that the coating for beams leads to modifying the fatiguelife and stress. Therefore, this work modifies the fatigue characterizations for beams by using laser treatment. The main aim of this work is to modify the fatigue properties of steel materials by using a coating surface, with nanoparticle materials, in addition to the laser treatment technique, at the same time. The experimental work was divided into three parts; first, the fabricated fatigue steel samples were coated by

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24

Ajenifuja, Emmanuel, Abimbola P. I. Popoola, Kabir O. Oyedotun, and Olawale Popoola. "Microstructural and porosimetry analysis of Ag-TiO2intercalated kaolin and diatomite as nanocomposite ceramic materials." Clay Minerals 53, no. 4 (2018): 665–74. http://dx.doi.org/10.1180/clm.2018.50.

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ABSTRACTKaolin and diatomite are abundant and widely available geological materials that may immobilize or stabilize functional chemical species on their surfaces for various applications. Acid-treated kaolin and diatomite were intercalated with photocatalyst Ag-TiO2nanoparticles using the sol–gel technique to prepare nanocomposite ceramic materials. The nanocomposites were sintered between 900°C and 1000°C to induce thermal reactions and to enhance nanoparticle–substrate attachment. Chemical and thermal characterizations of the acid-treated materials and intercalated nanocomposites were perfo

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25

LI, GUOHUI. "SURFACE MODIFICATION AND CHARACTERIZATIONS OF TiO2 NANOPARTICLE." Surface Review and Letters 16, no. 01 (2009): 149–51. http://dx.doi.org/10.1142/s0218625x0901241x.

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Nanosized titanium dioxide particles were engrafted with butyltitanate coupling agent and methylmethacrylate monomer, and the obtained nanocomposite was characterized by Fourier transform infrared spectra and sedimentation test. Ultraviolet-visible light spectroscopy was used to study the differences and effectiveness of the coated and uncoated titanium dioxide, respectively. The results showed that polymethacrylate chain was engrafted on the surface of nanosized titanium dioxide and the surface grafting of polymers improved significantly absorbency of ultraviolet light of the nanoparticles.

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Wang, Baohui, Dejun Wang, Lihua Zhang, and Tiejin Li. "Surface photovoltaic characterizations of porous silicon layers." Thin Solid Films 293, no. 1-2 (1997): 40–44. http://dx.doi.org/10.1016/s0040-6090(96)08857-8.

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27

Chobriat, A., O. Raphaël, C. Hermerel, et al. "Developments in Shell Surface Characterizations Using Holography." Fusion Science and Technology 73, no. 2 (2018): 132–38. http://dx.doi.org/10.1080/15361055.2017.1374813.

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28

Brown, Christopher A., Hans N. Hansen, Xiang Jane Jiang, et al. "Multiscale analyses and characterizations of surface topographies." CIRP Annals 67, no. 2 (2018): 839–62. http://dx.doi.org/10.1016/j.cirp.2018.06.001.

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29

Burahta, V. A., and S. S. Sataeva. "MODIFIED SEMICONDUCTION ELECTRODES BASED ON GALLIUM ARSENIDE IN POTENTIOMETRIC TITRATION." Izvestiya of Saratov University. Chemistry. Biology. Ecology 11, no. 1 (2011): 7–11. http://dx.doi.org/10.18500/1816-9775-2011-11-1-7-11.

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Ways of electrochemicals modification surface semiconducting electrode based on gallium arsenide (GaAs) was proposed in this work/ Behavior of unmodified and modified GaAs was investigated characterization was identified (steepness of electrode function, working interval? responses time, reproducibility). Possibility of using electrodes from GaAs for potentiometric titration of ions Cu2+ and Pb2+ was set. Modified GaAs-electrodes has improved electroanalitical characterizations in variants direct potentiometric titration was shown.

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Zhang, Jinhong, Lijun Li, Peng Xu, et al. "Anisotropic Wettability of Bioinspired Surface Characterized by Friction Force." Biomimetics 7, no. 3 (2022): 108. http://dx.doi.org/10.3390/biomimetics7030108.

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Bioinspired surfaces with special wettabilities attract increasing attention due to their extensive applications in many fields. However, the characterizations of surface wettability by contact angle (CA) and sliding angle (SA) have clear drawbacks. Here, by using an array of triangular micropillars (ATM) prepared by soft lithography, the merits of measuring the friction force of a water droplet on ATM over measurements of CA and SA in characterizing the surface wettability are demonstrated. The CA and SA measurements show ignorable differences in the wettabilities of ATM in opposite direction

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Du, Peng, Haibao Hu, Feng Ren, and Dong Song. "Bubble characterizations on hydrophobic surface using lattice Boltzmann simulation with large density ratios." International Journal of Numerical Methods for Heat & Fluid Flow 27, no. 6 (2017): 1311–22. http://dx.doi.org/10.1108/hff-02-2016-0062.

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Purpose The maintenance of the air–water interface is crucial for the drag reduction on hydrophobic surfaces. But the air bubbles become unstable and even washed away under high speed flow, causing the failure of surface hydrophobicity. Thereby, this paper aims to understand the relations between bubble behaviors and surface properties, flow conditions and to discover new methods to maintain the air–water interface. Design/methodology/approach Bubble properties on hydrophobic surfaces were characterized using single-component multiphase lattice Boltzmann simulation. Three equations of state (E

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32

İşbilir, Zehra, Bahar Doğan Yazıcı, and Murat Tosun. "Generalized Rectifying Ruled Surfaces of Special Singular Curves." Analele Universitatii "Ovidius" Constanta - Seria Matematica 31, no. 3 (2023): 177–206. https://doi.org/10.2478/auom-2023-0038.

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Abstract In this study, generalized rectifying ruled surfaces of Frenet-type framed base curves in the three-dimensional Euclidean space are introduced. These surfaces are a generalization of not only the tangent and binormal surfaces of Frenet-type framed base curves, but also the tangent and binormal surfaces of regular curves. Additionally, we present some geometric characterizations and properties of these surfaces. Then, the singular point classes of the surface are scrutinized and the conditions for being a cross-cap surface are stated. Moreover, generalized rectifying surfaces are exami

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33

Lechleiter, Armin, and Dinh-Liem Nguyen. "Scattering of Herglotz waves from periodic structures and mapping properties of the Bloch transform." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 145, no. 6 (2015): 1283–311. http://dx.doi.org/10.1017/s0308210515000335.

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When an incident Herglotz wave function scatters from a periodic Lipschitz continuous surface with a Dirichlet boundary condition, the classical (quasi-)periodic solution theory for scattering from periodic structures does not apply, since the incident field lacks periodicity. Relying on the Bloch transform, we provide a solution theory in H1 for this scattering problem. First, we prove conditions guaranteeing that incident Herglotz wave functions propagating towards the periodic structure have traces in H1/2 on the periodic surface. Second, we show that the solution to the scattering problem

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34

Nengah Simpen, I., I. Made Sutha Negara, and Ni Made Puspawati. "The Characterization of Heterogeneous Nanocatalyst of Biohydroxyapatite-Lithium and its Application for Converting Malapari Seed Oil (Milletia pinnata L.) to Biodiesel." Oriental Journal of Chemistry 34, no. 4 (2018): 1817–23. http://dx.doi.org/10.13005/ojc/3404015.

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Heterogeneous nanocatalyst of biohydroxyapatite-lithium (HA-Li) has been prepared through modification of HA extracted from bovine bone waste with Li at various calcination temperatures (400-700oC). Characterizations of the heterogeneous catalysts were including surface acidity-basicity, functional groups, BET surface area, particle size, and surface morphology. Optimization of catalyst ratios (1-7%) with the best characterization was applied for converting Malapari seed oil (Milletia pinnata L.) to biodiesel. The characterization results showed that HA-Li catalyst calcinated at 600oChad the h

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Gaber, Samah, Adel H. Sorour, and A. A. Abdel-Salam. "Construction of Ruled Surfaces from the W-Curves and Their Characterizations in E3." Symmetry 16, no. 5 (2024): 509. http://dx.doi.org/10.3390/sym16050509.

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Ruled surfaces are considered one of the significant aspects of differential geometry. These surfaces are formed by the motion of a straight line called a generator, and every curve that intersects all the generators is called a directrix. In the present research paper, we explore a family of ruled surfaces constructed from circular helices (W-curve) using the Frenet frame in the Euclidean space E3. We derive the explicit formulas for the second mean curvature and second Gaussian curvature. We present some ruled surfaces, and we describe their properties. In addition, we determine the sufficie

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36

KÖRPINAR, Talat, and Ahmet SAZAK. "E3'te Adjoint Eğriler ile İlişkili Normal Yüzeyler." Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 11, no. 3 (2022): 779–83. http://dx.doi.org/10.17798/bitlisfen.1086972.

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In this study, we work on the surfaces determined in relation to associated curves. We study normal surfaces defined with the help of adjoint curves, a special type of associated curve. For this, we first remember the basic equations of the 3-dimensional Euclidean space, which is the space we work with, and the adjoint curve issue. Then, by computing the first and second fundamental forms, principal curvatures and Gaussian and mean curvatures of the normal surface of an adjoint curve, we obtain the characterizations of this surface and related some results.

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Khang, Gilson, Hai Bang Lee, and Joon B. Park. "Biocompatibility of Polysulfone I. Surface Modifications and Characterizations." Bio-Medical Materials and Engineering 5, no. 4 (1995): 245–58. http://dx.doi.org/10.3233/bme-1995-5405.

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38

Chen, Jem-Kun, Wei-Ting Chen, Chih-Chia Cheng, Chia-Chi Yu, and Jinn P. Chu. "Metallic glass nanotube arrays: Preparation and surface characterizations." Materials Today 21, no. 2 (2018): 178–85. http://dx.doi.org/10.1016/j.mattod.2017.10.007.

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39

Zheng, Yong-ai, Feng Yu, and Yu-rong Liu. "Spectral characterizations of veronese surface in S 4." Journal of Shanghai University (English Edition) 5, no. 1 (2001): 29–30. http://dx.doi.org/10.1007/s11741-001-0022-8.

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40

Nakamae, Katsuhiko, Takashi Miyata, Norihito Ootsuki, Masakazu Okumura, and Keisake Kinomura. "Surface characterizations of copolymer films with pendant monosaccharides." Macromolecular Chemistry and Physics 195, no. 6 (1994): 1953–63. http://dx.doi.org/10.1002/macp.1994.021950606.

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41

ÇALIŞKAN, Abdussamet. "Characterizations of Unit Darboux Ruled Surface with Quaternions." Journal of New Theory, no. 42 (March 31, 2023): 43–54. http://dx.doi.org/10.53570/jnt.1194990.

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This paper presents a quaternionic approach to generating and characterizing the ruled surface drawn by the unit Darboux vector. The study derives the Darboux frame of the surface and relates it to the Frenet frame of the base curve. Moreover, it obtains the quaternionic shape operator and its matrix representation using the normal and geodesic curvatures to provide a more detailed analysis. To illustrate the concepts discussed, the paper offers a clear example that will help readers better understand the concepts and showcases the quaternionic shape operator, Gauss curvature, mean curvature,

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42

Klamecki, Barney E. "The information content of surface profiles, surface profile measurements, and profile characterizations." Wear 130, no. 2 (1989): 289–300. http://dx.doi.org/10.1016/0043-1648(89)90184-1.

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43

Izumiya, Shyuichi, and Akihiro Takiyama. "A time-like surface in Minkowski 3-space which contains pseudocircles." Proceedings of the Edinburgh Mathematical Society 40, no. 1 (1997): 127–36. http://dx.doi.org/10.1017/s001309150002349x.

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Pandey, Ratnesh K., Ram Pratap Yadav, Tanuj Kumar, et al. "Fractal characterizations of MeV ion treated CaF₂ thin films." Chaos: An Interdisciplinary Journal of Nonlinear Science 33, no. 3 (2023): 033110. http://dx.doi.org/10.1063/5.0135127.

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We present the morphological evolution and fractal characterizations of CaF2 thin-film surfaces modified by bombardment with 100 MeV Au+8 ions at various fluences. Atomic force microscopy (AFM) combined with line profile and two-dimensional power spectral density (2D-PSD) analysis was utilized to investigate the evolution of surface morphology as a function of fluence. The AFM images were utilized to investigate the relationship between fractal dimension, roughness exponent, lateral correlation length, and ion fluence. The surface erosion owing to sputtering was depicted using Rutherford backs

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Izumiya, Shyuichi, and Farid Tari. "Projections of surfaces in the hyperbolic space along horocycles." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 140, no. 2 (2010): 399–418. http://dx.doi.org/10.1017/s0308210509000213.

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We study orthogonal projections of embedded surfaces M in H3+ (−1) along horocycles to planes. The singularities of the projections capture the extrinsic geometry of M related to the lightcone Gauss map. We give geometric characterizations of these singularities and prove a Koenderink-type theorem that relates the hyperbolic curvature of the surface to the curvature of the profile and of the normal section of the surface. We also prove duality results concerning the bifurcation set of the family of projections.

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Teska, Peter, Roderick Dayton, Xiaobao Li, Jason Lamb, and Phillip Strader. "Damage to Common Healthcare Polymer Surfaces from UV Exposure." Nano LIFE 10, no. 03 (2020): 2050001. http://dx.doi.org/10.1142/s1793984420500014.

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Healthcare-associated infections are a significant concern in acute care facilities across the US. Studies have shown the importance of a hygienic patient environment in reducing the risk of such infections. This has caused an increased interest in ultraviolet (UV-C) light disinfectant technology as an adjunct technology to provide additional pathogen reduction to environmental surfaces and patient care equipment (i.e., surfaces). It is also well known that UV-C light can cause premature degradation of materials, particularly certain plastic materials. However, there is little information in t

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Vorontsov, Alexander V., Héctor Valdés, Panagiotis G. Smirniotis, and Yaron Paz. "Recent Advancements in the Understanding of the Surface Chemistry in TiO2 Photocatalysis." Surfaces 3, no. 1 (2020): 72–92. http://dx.doi.org/10.3390/surfaces3010008.

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Surface chemistry plays a major role in photocatalytic and photoelectrochemical processes taking place with the participation of TiO2. The synthesis methods, surface characterizations, theoretical research methods, and hardware over the last decade generated opportunities for progress in the surface science of this photocatalyst. Very recently, attention was paid to the design of photocatalysts at the nanoscale level by adjusting the types of exposed surfaces and their ratio, the composition and the surface structure of nanoparticles, and that of individual surfaces. The current theoretical me

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Peta, Katarzyna, W. James Stemp, Tera Stocking, et al. "Multiscale Geometric Characterization and Discrimination of Dermatoglyphs (Fingerprints) on Hardened Clay—A Novel Archaeological Application of the GelSight Max." Materials 18, no. 13 (2025): 2939. https://doi.org/10.3390/ma18132939.

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A relatively new GelSight Max measurement instrument was applied to the microtopographies of experimental hardened clay surfaces, both with and without fingerprint (dermatoglyph) impressions, and the surface of an archaeological pottery handle fragment with a preserved fingerprint (paleodermatoglyph). The experimental clay surfaces were documented in order to determine the instrument’s ability to capture these surfaces in three-dimensions by imprinting them onto an elastomeric tactile membrane. Fingerprints on the experimental hardened clay and the archaeological pottery fragment were mathemat

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Oszwałdowski, Sławomir, Katarzyna Zawistowska, Laura Grigsby, and Kenneth Roberts. "Capillary electrophoretic separation and characterizations of CdSe quantum dots." Open Chemistry 8, no. 4 (2010): 806–19. http://dx.doi.org/10.2478/s11532-010-0052-9.

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AbstractWe have developed a capillary electrophoresis method to characterize the QD surface ligand interactions with various surfactant systems. The method was demonstrated with 2–5 nm CdSe nanoparticles surface-passivated with trioctylphosphine oxide (TOPO). Water solubility was accomplished by surfactant-assisted phase transfer via an oil-in-water microemulsion using either cationic, anionic, or non-ionic surfactants. Interaction between the QD surface ligand (TOPO) and the alkyl chain of the surfactant molecule produces a complex and dynamic surface coating that can be characterized through

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Ertem Kaya, Filiz, and Süleyman Şenyurt. "Curve-Surface Pairs on Embedded Surfaces and Involute D-Scroll of the Curve-Surface Pair in E3." Symmetry 16, no. 3 (2024): 323. http://dx.doi.org/10.3390/sym16030323.

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Willmore defined embedded surfaces on f:S→E3, which is the embedding of S into Euclidean 3-space. He investigated the Euclidean metric of E3, inducing a Riemannian structure on f(S). The expression analogous to the left-hand member of the curvature K is replaced by the mean curvature H2 on f(S). Our aim is to observe the Gaussian and mean curvatures of curve–surface pairs using embedded surfaces in different curve–surface pairs and to define some developable operations on their curve–surface pairs. We also investigate the embedded surfaces using the Willmore method. We first recall the Darboux

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