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Journal articles on the topic 'Frenet Apparatus'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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1

José, Adonai Pereira Seixas, and Isaac Barbosa Isnaldo. "On Frenet Apparatus of Curves in Rn." Latin American Journal of Mathematics 01, no. 01 (2022): 40–76. https://doi.org/10.5281/zenodo.7922410.

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In this paper, we present new explicit and nonrecursive formulas for the curvatures and the frame of Frenet of a regular curve with an arbitrary parameter in the Euclidean space Rn, n >2, expressed only in terms of its derivatives.
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2

El-Ahmady, A. E., and A. T. M-Zidan. "On the Deformation Retractions of Frenet Curves in Minkowski 4 - Space." Modern Applied Science 14, no. 9 (2020): 55. http://dx.doi.org/10.5539/mas.v14n9p55.

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In this paper, the position vector equation of   the Frenet curves with constant curvatures in Minkowski 4 -space has been presented. New types for retractions and deformation retracts of Frenet curves in  are deduced. The relations between the Frenet apparatus of the Frenet curves before and after the deformation retracts are obtained.
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3

Mendonca, Thiago, Jose Alan, and Renato Teixeira. "Smarandache Curves of Natural Curves Pair According to Frenet Frame." Advances in Research 25, no. 5 (2024): 1–13. http://dx.doi.org/10.9734/air/2024/v25i51131.

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Smarandache curves play a significant role in differential geometry. They extend conventional differential geometry concepts and help uncover novel geometric properties. In this work, we define the Smarandache curves of the Natural mate of any given curve \(\alpha\) and calculate their Frenet apparatus. As a particular case, we present the Frenet apparatus when \(\alpha\) is a helix. Additionally, we illustrate an example for the slant helix.
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4

Barbosa, Isnaldo, and J. Adonai Seixas. "On Frenet Apparatus of Curves in Rn." Latin American Journal of Mathematics 1, no. 01 (2022): 40–76. http://dx.doi.org/10.14244/lajm.v1i01.3.

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In this paper, we present new explicit and nonrecursive formulas for the curvatures and the frame of Frenet of a regular curve with an arbitrary parameter in the Euclidean space Rn, n > 2, expressed only in terms of its derivatives.
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5

Yılmaz, Süha, and Yasin Unluturk. "On spherical indicatrices of curves in Galilean 4-space G₄." Journal of the Indonesian Mathematical Society 25, no. 2 (2019): 154–70. http://dx.doi.org/10.22342/jims.25.2.473.154-170.

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In this study, we indroduce spherical indicatrices of curves in four dimensional Galilean space. Moreover, we characterize these curves in terms of Frenet-Serret vector fields in four dimensional Galilean space. Frenet-Serret apparatus of these curves are obtained in terms of base curve's Frenet invariants. Additionally, some theorems are given regarding characterizations of spherical indicatrices of curves in four dimensional Galilean space.
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6

Kılıçoğlu, Şeyda, and Süleyman Şenyurt. "On the Involute of the Cubic Bezier Curve by Using Matrix Representation in E3." European Journal of Pure and Applied Mathematics 13, no. 2 (2020): 216–26. http://dx.doi.org/10.29020/nybg.ejpam.v13i2.3648.

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In this study we have examined, involute of the cubic Bezier curve based on the control points with matrix form in E3. Frenet vector fields and also curvatures of involute of the cubic Bezier curve are examined based on the Frenet apparatus of the first cubic Bezier curve in E3.
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7

Tunçer, Yılmaz. "Vectorial moments of curves in Euclidean 3-space." International Journal of Geometric Methods in Modern Physics 14, no. 02 (2017): 1750020. http://dx.doi.org/10.1142/s0219887817500207.

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In this study, we introduced the vectorial moments as a new curves as [Formula: see text]-dual curve, where [Formula: see text], constructed by the Frenet vectors of a regular curve in Euclidean 3-space and we gave the Frenet apparatus of [Formula: see text]-dual curves and also we applied to helices and curve pairs of constant breadth.
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8

Güven, Ìlkay Arslan, Semra Kaya Nurkan, and Ìpek Agaoglu Tor. "Spherical Images of W-Direction Curves in Euclidean 3-Space." Journal of Mathematics Research 12, no. 3 (2020): 39. http://dx.doi.org/10.5539/jmr.v12n3p39.

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In this paper, we study the spherical indicatrices of W-direction curves in three dimensional Euclidean space which were defined by using the unit Darboux vector field W of a Frenet curve. We obtain the Frenet apparatus of these spherical indicatrices and the characterizations of being general helix and slant helix. Moreover we give some properties between the spherical indicatrices and their associated curves.
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9

Canlı, Davut, Süleyman Şenyurt, Filiz Ertem Kaya, and Luca Grilli. "The Pedal Curves Generated by Alternative Frame Vectors and Their Smarandache Curves." Symmetry 16, no. 8 (2024): 1012. http://dx.doi.org/10.3390/sym16081012.

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In this paper, pedal-like curves are defined resulting from the orthogonal projection of a fixed point on the alternative frame vectors of a given regular curve. For each pedal curve, the Frenet vectors, the curvature and the torsion functions are found to provide the common relations among the main curve and its pedal curves. Then, Smarandache curves are defined by using the alternative frame vectors of each pedal curve as position vectors. The relations of the Frenet apparatus are also established for the pedal curves and their corresponding Smarandache curves. Finally, the expressions of th
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10

Cakir, Osman, and Suleyman Senyurt. "Harmonicity and differential equation of involute of a curve in E3." Thermal Science 23, Suppl. 6 (2019): 2119–25. http://dx.doi.org/10.2298/tsci190730401c.

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In this paper, we first give necessary conditions in which we can decide whether a given curve is biharmonic or 1-type harmonic and differential equations characterizing the regular curves. Then we research the Frenet formulas of involute of a unit speed curve by making use of the relations between the involute of a curve and the curve itself. In addition we apply these formulas to define the essential conditions by which one can determine whether the involute of a unit speed curve is biharmonic or 1-type harmonic and then we write differential equations characterizing the involute curve by me
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11

Deng, Yangke, Yanlin Li, Süleyman Şenyurt, Davut Canlı, and İremnur Gürler. "On the Special Viviani’s Curve and Its Corresponding Smarandache Curves." Mathematics 13, no. 9 (2025): 1526. https://doi.org/10.3390/math13091526.

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In the present paper, the special Viviani’s curve is revisited in the context of Smarandache geometry. Accordingly, the paper first defines the special Smarandache curves of Viviani’s curve, including the Darboux vector. Then, it expresses the resulting Frenet apparatus for each Smarandache curve in terms of the Viviani’s curve. The paper is also supported by extensive graphical representations of Viviani’s curve and its Smarandache curves, as well as their respective curvatures.
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12

ÇAYIR, HAŞİM, and SÜLEYMAN ŞENYURT. "THE TRANSFORMATION OF THE EVOLUTE CURVES USING LIFTS ON R^3 TO TANGENT SPACE TR^3." Journal of Science and Arts 24, no. 1 (2024): 145–54. http://dx.doi.org/10.46939/j.sci.arts-24.1-a13.

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In this paper, firstly, we define the evolute curve of any curve concerning the vertical, complete, and horizontal lifts on space R^3 to its tangent space TR^3=R^6. Secondly, we examine the Frenet-Serret apparatus {T^* (s),N^* (s),B^* (s),κ^*,τ^* } and the Darboux vector W^* of the evolute curve α^* according to the vertical, complete and horizontal lifts on TR^3 by depend on the lifting of Frenet-Serret aparatus {T(s),N(s),B(s),κ,τ} of the first curve α on space R^3. In addition, we include all special cases the curvature κ^* (s) and torsion τ^* (s) of the Frenet-Serret aparatus {T^* (s),N^*
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13

Alpatov, Anatolii, Victor Kravets, Volodymyr Kravets, and Erik Lapkhanov. "Representation of the kinematics of the natural trihedral of a spiral-helix trajectory by quaternion matrices." Transactions on Machine Learning and Artificial Intelligence 9, no. 4 (2021): 18–29. http://dx.doi.org/10.14738/tmlai.94.10523.

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The spiral-helix trajectory of the transport vehicle programmed motion in the form of a hodograph in the stationary frame of reference is considered. A relative frame of reference associated with the natural trihedral of the trajectory is introduced. The formulas of curvature and torsion of the trajectory, the unit vector of the natural trihedral, the components of the angular velocity of rotation of the natural trihedral in the proper axes and in the stationary frame of reference are set in the quaternionic matrices. The results are verified using the Frenet-Serret formulas. The mathematical
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14

Ertuğ Gürbüz, Nevin. "The variation of the electric field along optic fiber for null Cartan and pseudo-null frames." International Journal of Geometric Methods in Modern Physics 18, no. 08 (2021): 2150122. http://dx.doi.org/10.1142/s021988782150122x.

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In this paper, we introduce new frame and new transformation associated with combined Korteweg–de Vries–modified Korteweg–de Vries (KdV–mKdV) equation, the mKdV and the KdV equations with respect to the null Cartan frame in Minkowski 3-space. Direction of the state of polarization of monochromatic linear polarized light wave traveling in the optic fiber is given by the direction of electric field vector. We show that the electric field vector [Formula: see text] can be expressed as a linear combination of null Cartan frame apparatus using this new transformation in Minkowski 3-space. Later, we
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15

ERDEM, ESRA, and MÜNEVVER YILDIRIM YILMAZ. "SPECIAL CURVES ACCORDING TO TYPE-2 QUATERNIONIC FRAME IN R4." Journal of Science and Arts 25, no. 1 (2025): 133–44. https://doi.org/10.46939/j.sci.arts-25.1-a12.

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Quaternions, which were defined by William Rowan Hamilton in 1843, are a number system in four-dimensional space and are analogous to complex numbers. However, quaternion multiplication is not commutative, distinguishing them from complex numbers. Quaternions are special mathematical tools used in computer science, robotics, and many other mathematical sciences. From this point of view, they also get attention in differential geometry. In particular, their characterizations given by the Serret-Frenet apparatus are challenging. For this reason, Bharathi and Nagaraj obtained Serret-Frenet formul
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16

Nurkan, Semra Kaya, and İlkay Arslan Güven. "Construction of vectorial moments via direction curves." AIMS Mathematics 8, no. 6 (2023): 12857–71. http://dx.doi.org/10.3934/math.2023648.

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<abstract><p>In a recent paper Tunçer <sup>[<xref ref-type="bibr" rid="b14">14</xref>]</sup> described and examined the moment vectors (T -dual, N-dual, B-dual curve) of the curve with respect to the origin of the vector by using T(s), N(s), B(s) and the position vector of the curve. With the inspiration this paper provided, we define some new associated curves called dual-direction curves as integral curves of a vector field in this study. They are generated with the help of vectorial moments of a space curve in three-dimensional Euclidean space. We attain
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17

Dvorzhak, Volodymyr, Mykola Rubanka, Alla Rubanka, and Oleh Polishchuk. "Computer Modelling of Yarn Winding on Conical Bobbins." Tekstilec 66 (October 27, 2023): 1–8. http://dx.doi.org/10.14502/tekstilec.66.2023070.

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The article presents the results of the computer modelling of yarn winding on conical bobbins based on the analytical method of constructing tubular-shaped surfaces as a partial case of channel surfaces using the vector algebra apparatus. It is stated that the guide line takes the shape of a conical spiral line along which the forming moves (in the form of a circle with a diameter equal to the average diameter of the yarn), and is set using the moving Frenet basis. The obtained mathematical models facilitate the building, in MathCAD 3D visualization graphics, of a tubular-shaped surface, which
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18

Alghanemi, Azeb, Ghadah Matar та Amani Saloom. "The Differential Geometry of a Space Curve via a Constant Vector in ℝ3". Axioms 14, № 3 (2025): 190. https://doi.org/10.3390/axioms14030190.

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The differential geometry of space curves is a fascinating area of research for mathematicians and physicists, and this refers to its crucial applications in many areas. In this paper, a new method is derived to study the differential geometry of space curves. More specifically, the position vector of a constant vector in R3 is given in the Frenet apparatus of a space curve, and it is implemented to study the differential geometry of the given space curve. Easy and neat proofs of various well-known results are given using this new method. Also, new results and the properties of space curves ar
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19

Burgos, Graciela, Judith Jiménez, and Yecsy Ascate. "Cálculo del aparato de Frenet Serret de curvas dadas por la intersección de dos Superficies Implícitas en R3 utilizando el software Wolfram Mathematica v.11.2." Selecciones Matemáticas 6, no. 2 (2019): 338–47. http://dx.doi.org/10.17268/sel.mat.2019.02.20.

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20

Bidegain, Germán, Martín Freigedo, and Cristina Zurbriggen. "The Stability of Change: State and Public Policies during Leftist Administrations in Uruguay (2005- 2020)." Cuadernos de Economía 44, no. 93 (2025): 263–83. https://doi.org/10.15446/cuad.econ.v44n93.118276.

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This article examines the 15-year trajectory of Uruguay’s leftist administrations, focusing on the influence of the Frente Amplio (FA) on public policy and state configuration. It scrutinizes the challenges of and progress in state strengthening and policy shaping through three thematic blocks. The conclusion reflects on the enduring impacts of the transformative phase, marked by heightened state influence on public policy, economics, and social affairs. It showcases the feasibility of pursuing a redistributive agenda while upholding stability and resilience in the 21st-century Uruguayan state
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21

Costa, Thiago Ronyerisson Silva, José Sampaio de Mattos Junior Mattos Junior, Ronaldo Barros Sodré, and Igor Breno Barbosa de Sousa. "OS CONFLITOS AGRÁRIOS FRENTE AS NOVAS DINÂMICAS TERRITORIAIS NO CAMPO MARANHENSE (1985 – 2018)." REVISTA GEONORTE 11, no. 38 (2020): 243–57. http://dx.doi.org/10.21170/geonorte.2020.v.11.n.38.243.257.

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The Maranhão, according IBGE (2019), is an essentially agrarian state, encompassing the largest rural population in Brazil, and also has a historically concentrated land order, due to the process of incorporation and territorialization conceived by the capital, a process facilitated in its historical context by the state apparatus. Thus, this article proposes to analyze the role of the State and its dynamics of power transfer to capital, as a determining factor for the territorialization process, which materializes in conflicts and exclusion of workers in the Maranhão countryside. The research
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22

Diógenes, Francisco Bruno Pereira. "Dispositivos de governo e de controle e o contradispositivo da profanação em Giorgio Agamben [Government and control apparatus and the counter-device of profanation in Giorgio Agamben]." Kalagatos 14, no. 2 (2017): 91. http://dx.doi.org/10.23845/kgt.v14i2.148.

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Este artigo pretende tratar da noção de dispositivo na obra de Giorgio Agamben, tendo como norte o ensaio O que é um dispositivo? (2006). O autor se propõe a desenvolver a noção em questão transportando-a para o seu campo de investigação que nomeia “genealogia teológica do governo e da economia”, melhor desenvolvido em O Reino e a Glória (2007). Os dispositivos de poder e de governo, dentre eles o da oikonomia, fundamentam a práxis política no Ocidente. No ensaio Elogio da profanação (2005) o autor se propõe a pensar uma possível desarticulação dos dispositivos, permitindo a abertura da perspe
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23

Reis, Egberto Pereira dos, and José Carlos Rothen. "A atuação dos intelectuais da libertação nas páginas da REB no período de 1972 a 1986." Revista Eclesiástica Brasileira 78, no. 311 (2019): 739. http://dx.doi.org/10.29386/reb.v78i311.1404.

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O presente artigo tem como objetivo descrever como os intelectuais da libertação atuaram entre os anos de 1972 a 1986, descritos na Revista Eclesiástica Brasileira. Na Revista foi detectada a forma como estes intelectuais atuaram frente ao aparelho do Estado, especialmente no regime militar e com relação à Igreja “oficial”. Foi feita a chamada análise Bibliométrica com a finalidade de mensurar a revista, para levantar dados referentes à atuação de alguns autores no período mencionado. Foram levantados os seguintes itens: ano, mês, artigos/comunicação, título do artigo, formação acadêmica, vínc
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24

Gracheva, E.I., I.V. Ivshin, A.N. Gorlov, and A.N. Alimova. "Effect of Technical Parameters of Electric Low Voltage Devices of the Shop Power Supply Systems on their Reliability Characteristics." Problemele Energeticii Regionale 2(43) (August 13, 2019): 74–87. https://doi.org/10.5281/zenodo.3367062.

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The article deals with an integrated approach to the study of the functioning efficiency of lowvoltage switching devices as elements of shop networks during their operation. Based on the results of experimental studies of the contact connections of devices using a thermal imaging equipment, a new criterion is offered for the estimation of the technical condition of devices, namely, the coefficient of actual multiplicity exceeding the contact resistance under operating conditions. Its calculated numerical values for circuit breakers, contactors, magnetic starters, knife switches and batch switc
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25

Daza González, Alfonso. "INTERVENCIÓN DEL JUEZ DE CONOCIMIENTO DE COLOMBIA EN LAS AUDIENCIAS ANTERIORES A LA DE JUZGAMIENTO FRENTE A LA GARANTÍA DE IMPARCIALIDAD JUDICIAL Y EL PRINCIPIO ACUSATORIO." Revista Republicana 33 (July 31, 2022): 77–94. http://dx.doi.org/10.21017/rev.repub.2022.v33.a128.

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In Colombia, in order to adopt an accusatory criminal procedure system, the 1991 Political Constitution was reformed with Legislative Act 03 of 2002. The regulation of this criminal procedural system was given through Law 906 of 2004, “By which the Code of Criminal Procedure is issued.” In development of these regulations, the following hearings were created: i) preliminary; ii) formulation of the accusation; iii) preparatory; and iv) judgment. In the first ones, the judge with the function of control of guarantees intervenes. Later, the judge of knowledge intervenes, who is in charge of direc
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26

Jóźwik, Katarzyna. "Ksiądz Jerzy Popiełuszko w doniesieniach tajnych współpracowników Służby Bezpieczeństwa." Polish Biographical Studies 11, no. 1 (2023): 153–80. http://dx.doi.org/10.15804/pbs.2023.05.

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Despite the large number of publications about the figure and activities of Father Jerzy Popiełuszko, there is a shortage of reliable academic studies analysing the documentation concerning the priest produced by the communist apparatus of repression. The aim of the present text is to present the reports of secret collaborators focused on Father Popieluszko and an extensive historical analysis of their activities. For the purposes of this text, the work files and personal files of three secret collaborators with pseudonyms were analysed: „Jankowski”, „Kustosz”, „Tarcza/Miecz”. The personalitie
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27

Menezes, Júlia Telles. "A Interpretação Epistêmica da Semântica Bidimensional." Analytica. Revista de Filosofia 22, no. 2 (2020): 114–43. http://dx.doi.org/10.35920/arf.2018.v22i2.114-143.

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O presente artigo pretende apresentar e avaliar criticamente o projeto racionalista de David Chalmers e Frank Jackson na interpretação epistêmica da chamada semântica bidimensional. Diferentes versões do aparato formal da semântica bidimensional são lançadas para resolver certos problemas no âmbito da filosofia da linguagem, a saber, dar conta do conteúdo semântico de termos indexicais, produzir uma explicação para os híbridos modais como instâncias do necessário a posteriori e contribuir para o debate acerca da determinação do conteúdo mental. De um modo geral, a semântica
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28

Torrisi, Alfio, Przemyslaw Wachulak, Łukasz Węgrzyński, et al. "A stand-alone compact EUV microscope based on gas-puff target source." Journal of Microscopy 265, no. 2 (2016): 251–60. https://doi.org/10.1111/jmi.12494.

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We report on a very compact desk-top transmission extreme ultraviolet (EUV) microscope based on a laser-plasma source with a double stream gas-puff target, capable of acquiring magnified images of objects with a spatial (half-pitch) resolution of sub-50 nm. A multilayer ellipsoidal condenser is used to focus and spectrally narrow the radiation from the plasma, producing a quasi-monochromatic EUV radiation (λ = 13.8 nm) illuminating the object, while a Fresnel zone plate objective forms the image. Design details, development, characterization and optimization of the EUV source and the microscop
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29

Guimarães Leal, Diego Rodrigo. "Uma República de cientistas na Era Vargas: A atuação científica e política de Carlos Estêvão de Oliveira (1930-1945)." História da Ciência e Ensino: construindo interfaces 27 (January 5, 2024): 67–78. http://dx.doi.org/10.23925/2178-2911.2023v17espp67-78.

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Diego Rodrigo Guimarães Leal Resumo O presente artigo situa-se no campo da História das Ciências e se propõe analisar a trajetória de Carlos Estêvão de Oliveira no aparelho estatal da Era Vargas após a Revolução de 1930. O intelectual pernambucano atuou por mais de uma década a frente desta instituição e estabeleceu parcerias interinstitucionais com órgãos e conselhos técnicos federais em um contexto em que estava sendo reorganizado o campo patrimonial brasileiro e sendo definido novas diretrizes para a sua salvaguarda. Essa análise busca contribuir para a compreensão da estreita relação que s
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30

Agusman, Yudi. "THE EFFECTIVENESS OF IMPLEMENTATION OF THE KOLAKA REGIONAL REGULATION NUMBER 7 YEAR 2017 CONCERNING IMPLEMENTATION A DAY WITHOUT POLLUTION CAR FREE DAY." JHSS (Journal of Humanities and Social Studies) 6, no. 3 (2022): 400–405. http://dx.doi.org/10.33751/jhss.v6i3.6491.

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The purpose of this study is to determine the effectiveness of Regent Regulation Number 7 of 2017 concerning the Implementation of a Day Without Car Free Day Pollution by the Kolaka Regency Transportation Office. The methods used in this study were analyzed using qualitative descriptive techniques. The location in this study was the Kolaka District Transportation Office. Based on the results of the study, in terms of achieving the objectives of the program implementation, it can run well because, in the Car Free Day activities that take place, there is involvement from several related parties,
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31

Shmaiun, Olha. "The Phenomenon of Cultural and Leisure Activities: Problem Conceptualisation." Issues in Cultural Studies, no. 38 (October 29, 2021): 354–62. https://doi.org/10.31866/2410-1311.38.2021.247184.

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The article examines the phenomenon of leisure as a unique phenomenon that contributes to the implementation and development of numerous types and forms of cultural and leisure activities. The purpose of the article is to study the peculiarities of the development of modern cultural and leisure centres of Ukraine in the environment of socio-cultural existence. The methodological basis of the study is the main provisions of cultural studies, sociology of culture, and social psychology, which consider leisure culture as a socio-cultural phenomenon. The scientific novelty consists in defining and
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32

Amosov, Grigori G., and Egor L. Baitenov. "On the space of Schwartz operators in the symmetric Fock space and its dual." Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy 9, no. 2 (2022): 193–200. http://dx.doi.org/10.21638/spbu01.2022.201.

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A long-standing problem that arises when constructing the mathematical apparatus of quantum mechanics is the need to work with unbounded operators. Since the space of nuclear operators is preconjugate for the algebra of all bounded operators, we can consider the states of a quantum system as nuclear operators, and consider bounded operators as observables. In this case, taking the trace for the product of a nuclear operator (a quantum state) and a bounded operator (a quantum observable) gives the average value of a quantum observable in a fixed state. The existence of such an average for unbou
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33

Cherneva, Irina, Christina I. Ellison, Eduardo E. Zattara, et al. "Seven new species of Tetranemertes Chernyshev, 1992 (Monostilifera, Hoplonemertea, Nemertea) from the Caribbean Sea, western Pacific, and Arabian Sea, and revision of the genus." ZooKeys 1181 (October 5, 2023): 167–200. https://doi.org/10.3897/zookeys.1181.109521.

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The marine ribbon worm genus Tetranemertes Chernyshev, 1992 currently includes three species: the type species T. antonina (Quatrefages, 1846) from the Mediterranean Sea, T. rubrolineata (Kirsteuer, 1965) from Madagascar, and T. hermaphroditica (Gibson, 1982) from Australia. Seven new species are described: T. bifrost sp. nov., T. ocelata sp. nov., T. majinbuui sp. nov., and T. pastafariensis sp. nov. from the Caribbean Sea (Panamá), and three species, T. unistriata sp. nov., T. paulayi sp. nov., and T. arabica sp. nov., from the Indo-West Pacific (Japan and Oman). As a result, an amended morp
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Ezatpour, Behrouz, Niloufar Dorosti, Elham Rezaee, and Fatemeh Ghaziani. "Comparison of the chemical composition and biological activities of essential oils from two Satureja species: Molecular docking studies." Journal of the Mexican Chemical Society 67, no. 1 (2023): 70–81. http://dx.doi.org/10.29356/jmcs.v67i1.1816.

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The Satureja species (family Lamiaceae) are economically important plants; they have been used as medicinal plants, flavoring in food, and cosmetic material for centuries. The volatile oils of two Satureja species, S. khuzistanica and S. rechingeri, were obtained by hydrodistillation method with Clevenger-type apparatus. The chemical composition of oils was analyzed by gas chromatography coupled with mass spectrometry (GC-MS). The major constituent of S. khuzistanica oil was Carvacrol (68.7%) and those of S. rechingeri oil were Thymol (51.28%) and Carvacrol (22.08%). Anticholinesterase and ant
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35

Santos, Mateus Feitosa, Rhanna Victória Amaral da Silva, Eldon Carlos dos Santos Colares, et al. "Perfil químico e atividade acaricida in silico e in vitro do óleo essencial das folhas de Peperomia pellucida (l.) Kunth coletadas em Itacoatiara." Revista Saúde e Desenvolvimento 19, no. 30 (2025): 30–41. https://doi.org/10.22169/revsed.v19n30.1506.

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Os produtos naturais vêm sendo utilizados pela humanidade desde os tempos remotos, pois a busca pelo alívio e cura de enfermidades através da ingestão de ervas e folhas foi uma das primeiras formas de utilização desses produtos. No estudo das plantas medicinais destacam-se alguns produtos como os extratos e óleos essenciais, que são ricos em compostos oriundos do metabolismo secundário vegetal, os quais podem inibir o desenvolvimento de fungos, bactérias e ácaros. O objetivo deste artigo foi avaliar a atividade acaricida in silico e in vitro do óleo essencial de Peperomia pellucida (L.) Kunth
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36

Gennadiy, Taranenko. "ANALYSIS OF DUAL-FLOW PLATES WITH A LARGE FREE SECTION." TECHNOLOGY AUDIT AND PRODUCTION RESERVES 4, no. 1 (54) (2020): 4–7. https://doi.org/10.15587/2706-5448.2020.208493.

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The object of research is the dual-type plates with a large free section. One of the most problematic areas of such plates is their low efficiency, which depends on the operating mode of the dual-type plates with a large free section. The gas-liquid layer on such plates is represented by drops and films of liquid, which are the dispersed phase. In this case, the continuous phase is gas. Insufficient liquid supply on dual-flow plates with a large free section leads to a decrease in the efficiency of such plates. During the research, the method of hydrodynamic modeling was used. This method cons
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37

Gómez, Margarita Ramírez, and Alia Rodríguez Villate. "Señales de reconocimiento entre plantas y hongos formadores de micorrizas arbusculares." Corpoica Ciencia y Tecnología Agropecuaria 11, no. 1 (2010): 53. http://dx.doi.org/10.21930/rcta.vol11_num1_art:195.

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<p>La asociación entre Hongo formadores de micorrizas arbusculares (HFMA) y las plantas ha permitido la adaptación de éstas a ecosistemas terrestres, presentándose en más del 80% de las plantas. El hospedero suministra carbohidratos al hongo y éste transporta los nutrientes que la planta requiere. El establecimiento de la simbiosis requiere procesos armónicos a nivel espacio-temporal, que dependen de señales específicas, para reconocimiento, colonización e intercambio de nutrientes. Las plantas presentan respuestas de defensa frente a la posible invasión de microorganismos, sin embargo,
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38

Richard, Mathilde, Jean Sebastien FRENEL, Laurent Mathiot, et al. "Abstract P3-11-09: Extracellular vesicle-based biomarker assay for the monitoring of the efficacy of frontline endocrine therapy + CDK4-6 inhibitors in metastatic breast cancer." Cancer Research 83, no. 5_Supplement (2023): P3–11–09—P3–11–09. http://dx.doi.org/10.1158/1538-7445.sabcs22-p3-11-09.

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Abstract CONTEXT: Endocrine therapy combined with CDK4/6 inhibitor is the standard frontline treatment for the vast majority of HR+/HER2- metastatic breast cancer (MBC) patients. Despite an overall survival benefit, patients eventually progress and mechanisms of resistance to this combination are not well identified. Non-invasive monitoring of the efficacy of treatment could help into tailoring therapeutic regimen. Extracellular vesicles (EVs) are a group of heterogeneous nanosized bioparticles (30-1000nm), released by almost all cell types - including tumor, platelets, and immune cells – carr
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39

Domingues, Ivan. "Filosofia no/do Brasil: os últimos cinquenta anos - desafios e legados." Analytica - Revista de Filosofia 17, no. 2 (2013): 75–104. http://dx.doi.org/10.35920/arf.v17i2.2163.

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O artigo focaliza a situação da filosofia brasileira nos últimos cinquenta anos, através de seis passos argumentativos e cinco tipos ideais. Os passos recobrem a formulação do problema, junto com os legados e os desafios, num duplo movimento que vai regressivamente da atualidade ao passado colonial, bem como progressivamente do passado à atualidade e desta prospectivamente ao futuro. Neste quadro são examinadas a escala e a densidade da atividade filosófica na colônia e no império, ao procurar as instâncias e evidências para a hipótese dos déficits institucional e cultural. Paralelamente, são
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40

CEYLAN, Ayşe Yılmaz. "The Geometry of Bezier Curves in Minkowski ´ 3−Space." Universal Journal of Mathematics and Applications, March 28, 2023. http://dx.doi.org/10.32323/ujma.1238898.

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The scope of this paper is to look at some aspects of the differential geometry of B\'ezier curves in Minkowski space. For that purpose, we firstly introduce Frenet B\'ezier curve in Minkowski 3-space. Especially, we investigate the Serret-Frenet frame, curvature and torsion of the Frenet B\'ezier curves at all points. Moreover, we give the Frenet apparatus of these curves at the end points.
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41

Süha, Yılmaz, and Turgut Melih. "A Method to Calculate Frenet Apparatus of W-Curves in the Euclidean 6-Space." November 22, 2009. https://doi.org/10.5281/zenodo.1060633.

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These In this work, a regular unit speed curve in six dimensional Euclidean space, whose Frenet curvatures are constant, is considered. Thereafter, a method to calculate Frenet apparatus of this curve is presented.
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42

KILIÇOGLU, Şeyda, and Süleyman ŞENYURT. "On the Bertrand Mate of Cubic Bezier Curve by Using Matrix Representation in $\mathbf{E}^{3}$." Turkish Journal of Mathematics and Computer Science, September 21, 2022. http://dx.doi.org/10.47000/tjmcs.984372.

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In this study we have examined, Bertrand mate of a cubic Bezier curve based on the control points with matrix form in E3. Frenet vector fields and also curvatures of Bertrand mate of the cubic Bezier curve are examined based on the Frenet apparatus of the first cubic Bezier curve in E3.
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Süha, Yılmaz, and Turgut Melih. "A Method to Calculate Frenet Apparatus of the Curves in Euclidean-5 Space." July 29, 2008. https://doi.org/10.5281/zenodo.1080275.

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44

Lal, Shankar. "Parallel Transport Frame of Smarandache Curves in Euclidean Space." Journal of Mountain Research 16, no. 1 (2021). http://dx.doi.org/10.51220/jmr.v16i1.23.

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In the present work, we introduce Parallel transport frames of Smarandache curves in Euclidean space. In the first section, we give the basic tools of a parallel transport frame of a curve in 4-dimensional Euclidean space. In the second section, we study Smarandache curve of Euclidean space in parallel transport frame, we solve a few theorems, corollaries and examples. Again third section, we define parallel transport frame to the Smarandache curve and obtain some definitions and their apparatus. Further fourth section, we have also explained to Frenet frame of principal normal, binomial and t
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45

Turgut, Melih, and Suha Yilmaz. "Smarandache Curves in Minkowski Space-time." February 7, 2008. https://doi.org/10.5281/zenodo.9681.

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A regular curve in Minkowski space-time, whose position vector is composed by Frenet frame vectors on another regular curve, is called a Smarandache Curve. In this paper, we define a special case of such curves and call it Smarandache TB2 Curves in the space E41. Moreover, we compute formulas of its Frenet apparatus according to base curve via the method expressed in [3]. By this way, we obtain an another orthonormal frame of E41.
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"Some Smarandache Curves Constructed from a Spacelike Salkowski Curve with Timelike Principal Normal." Punjab University Journal of Mathematics, September 25, 2021, 679–90. http://dx.doi.org/10.52280/pujm.2021.530905.

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In this article, we investigate the regular Smarandache curves constructed from the Frenet vectors of spacelike Salkowski curve with a timelike principal normal. In the first part of the study, literature research was conducted. In the second part, general information about the curve and spacelike Salkowski curve in Minkowski space are given. In the last part, the Frenet apparatus of the Smarandache curves are calculated. We draw a graphic of the obtained Smarandache curves and some related results about Smarandache curves are given.
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Gök, İ., S. Kaya Nurkan, K. Ilarslan, L. Kula, and M. Altinok. "Characterizations of Spacelike Slant Helices In Minkowski 3-Space." Annals of the Alexandru Ioan Cuza University - Mathematics, December 30, 2014. http://dx.doi.org/10.2478/aicu-2014-0051.

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Abstract In this paper, we investigate tangent indicatrix, principal normal indicatrix and binormal indicatrix of a spacelike curve with spacelike, timelike and null principal normal vector in Minkowski 3-space E3 1 and we construct their Frenet equations and curvature functions. Moreover, we obtain some differential equations which characterize for a spacelike curve to be a slant helix by using the Frenet apparatus of spherical indicatrix of the curve. Also related examples and their illustrations are given. Mathematics Subject Classification 2010: 53A04, 53C50.
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Süha, Yılmaz, Özyılmaz Emin, and Turgut Melih. "On the Differential Geometry of the Curves in Minkowski Space-Time II." November 27, 2009. https://doi.org/10.5281/zenodo.1057017.

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In the first part of this paper [6], a method to determine Frenet apparatus of the space-like curves in Minkowski space-time is presented. In this work, the mentioned method is developed for the time-like curves in Minkowski space-time. Additionally, an example of presented method is illustrated.
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KAYA NURKAN, Semra, and İlkay GÜVEN. "A New Approach For Smarandache Curves." Turkish Journal of Mathematics and Computer Science, May 18, 2022. http://dx.doi.org/10.47000/tjmcs.1004423.

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In this paper, we introduce new adjoint curves which are associated curves in Euclidean space of three
 dimension. They are generated with the help of integral curves of special Smarandache curves. We attain some
 connections between Frenet apparatus of these new adjoint curves and main curve. We characterize these curves in
 which conditions they are general helix and slant helix. Finally, we exemplify them with figures
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Çakmak, Ali, and Pelin Ezgi Epik. "Comments on Parallel Curves in 3-Dimensional Lie Group G." Türk Doğa ve Fen Dergisi, March 21, 2024. http://dx.doi.org/10.46810/tdfd.1424728.

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In this study, firstly, basic concepts in 3-dimensional Euclidean space and basic information about curves are given and some special curves are examined. Then, basic information about Lie algebra and Lie group basic concepts and curves are given and special curves such as helix, involute-evolute, Bertrand, Mannheim, Smarandache, are defined. Secondly, inspired by these special curves examined in the Lie group, the definitions of the parallel curve in the vector direction, the parallel curve in the direction of the vector B and the parallel curve in the direction of the linear combination of t
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