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Journal articles on the topic 'Derivative text'

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Published: 2 June 2025

Last updated: 31 July 2025

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1

Derkevych, Nataliia. "DERIVATIVE VERBS – ACTIVE LEXICAL UNITS FOR THE CONNECTION OF THE TEXT." Naukovì zapiski Nacìonalʹnogo unìversitetu «Ostrozʹka akademìâ». Serìâ «Fìlologìâ» 1, no. 17(85) (2023): 45–48. http://dx.doi.org/10.25264/2519-2558-2023-17(85)-45-48.

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The article analyzes the semantics of derivatives of verbs with an indefinite prefix ver- in a literary text, because the derivative word has the ability to display or describe a situation with the required degree of completeness, accuracy and detail. Derivatives in formal and semantic structure of text provide semantic compression, which lies in their ability to express semantics, commensurate with the value of syntactic units, as well as grammatical re-categorization of sign values, which provides for them new communicative functions. A derivative word, in comparison with simple, underived,

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2

Tsareva, I. V. "The derivative space of the law text." Bulletin of Luhansk Taras Shevchenko National University, no. 7 (330) (2019): 30–39. http://dx.doi.org/10.12958/2227-2844-2019-7(330)-30-39.

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3

SUZUKI, MASUO. "GENERAL FORMULATION OF QUANTUM ANALYSIS." Reviews in Mathematical Physics 11, no. 02 (1999): 243–65. http://dx.doi.org/10.1142/s0129055x9900009x.

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A general formulation of noncommutative or quantum derivatives for operators in a Banach space is given on the basis of the Leibniz rule, irrespective of their explicit representations such as the Gâteaux derivative or commutators. This yields a unified formulation of quantum analysis, namely the invariance of quantum derivatives, which are expressed by multiple integrals of ordinary higher derivatives with hyperoperator variables. Multivariate quantum analysis is also formulated in the present unified scheme by introducing a partial inner derivation and a rearrangement formula. Operator Taylo

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4

Wang, Fudong, and Wen Xiu Ma. "Lump solutions to nonlinear PDEs involving Hirota derivative Dt2DxDy." Modern Physics Letters B 34, no. 18 (2020): 2050197. http://dx.doi.org/10.1142/s0217984920501973.

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This paper aims to study lump solutions to a class of (2[Formula: see text]+[Formula: see text]1)-dimensional nonlinear PDE systems, which involve the fourth-order Hirota derivative term: [Formula: see text]. This Hirota derivative term generates higher-order derivatives of the temporal variable. Lump solutions to the resulting new class of nonlinear PDE systems are studied in detail via the Hirota bilinear method.

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5

Schaefer, Ted, Rudy Sebastian, Glenn H. Penner, and S. R. Salman. "The proximate spin–spin coupling, 5J(F,CH3), as a quantitative conformational indicator in alkylfluorobenzenes and related compounds." Canadian Journal of Chemistry 64, no. 8 (1986): 1602–6. http://dx.doi.org/10.1139/v86-266.

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The through-space or proximate nuclear spin–spin coupling constant, 5J(F,CH3) = 5J, between methyl protons and ring fluorine nuclei in alkylfluorobenzenes is postulated as [Formula: see text] θ being the torsional angle for the [Formula: see text] bond. A and B are obtained from the known internal rotational behaviour in 2,6-difluoroethylbenzene and the corresponding cumene derivative. The parameterization is tested on the observed 5J in derivatives of 2,4,6-tri-tert-butyl- and 2,4,6-tri-isopropyl-fluorobenzene, in 2-chloro-6-fluoroisopropylbenzene, 2,6-difluoro-α-methylstyrene, and N-methyl-8

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Chino, Yoshiaki, Kazuchika Ohta, Mutsumi Kimura, and Mikio Yasutake. "Discotic liquid crystals of transition metal complexes, 53†: synthesis and mesomorphism of phthalocyanines substituted by m-alkoxyphenylthio groups." Journal of Porphyrins and Phthalocyanines 21, no. 03 (2017): 159–78. http://dx.doi.org/10.1142/s1088424617500389.

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We have successfully synthesized a series of novel octakis([Formula: see text]-alkoxyphenylthio)phthalocyaninato copper(II) complexes, ([Formula: see text]-C[Formula: see text]OPhS)[Formula: see text]PcCu ([Formula: see text] = 2, 4, 6, 8, 10, 12, 14, 16: 1b~1i), by our developed method to reveal their mesomorphism. The phase transition behavior and mesophase structures have been established by using a polarizing optical microscope, a differential scanning calorimeter, and a temperature-dependent small angle X-ray diffractometer. Interestingly, the very short chain-substituted derivatives, ([F

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Plitzner, Patrick, Andreas Müller, Anton Güntsch, et al. "The CDM Applied: Unit-Derivation, from Field Observations to DNA Sequences." Biodiversity Information Science and Standards 1 (August 16, 2017): e20366. https://doi.org/10.3897/tdwgproceedings.1.20366.

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Specimens form the falsifiable evidence used in plant systematics. Derivatives of specimens (including the specimen as the organism in the field) such as tissue and DNA samples play an increasing role in research. The EDIT Platform for Cybertaxonomy is a specialist's tool that allows to document and sustainably store all data that are used in the taxonomic work process, from field data to DNA sequences. The types of data stored can be very heterogeneous consisting of specimens, images, text data, primary data files, taxon assignments, etc. The EDIT Platform organizes the linking between such d

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8

Bhowmick, Jyotishman, Debashish Goswami, and Giovanni Landi. "Levi-Civita connections and vector fields for noncommutative differential calculi." International Journal of Mathematics 31, no. 08 (2020): 2050065. http://dx.doi.org/10.1142/s0129167x20500652.

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We study covariant derivatives on a class of centered bimodules [Formula: see text] over an algebra [Formula: see text] We begin by identifying a [Formula: see text]-submodule [Formula: see text] which can be viewed as the analogue of vector fields in this context; [Formula: see text] is proven to be a Lie algebra. Connections on [Formula: see text] are in one-to-one correspondence with covariant derivatives on [Formula: see text]. We recover the classical formulas of torsion and metric compatibility of a connection in the covariant derivative form. As a result, a Koszul formula for the Levi-C

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9

Scheidt, W. Robert, Beisong Cheng, K. Venugopal Reddy та Kristin E. Brancato. "Alternant Bond Distances in Octaethylporphyrin π-Cation Radicals". Journal of Porphyrins and Phthalocyanines 21, № 04-06 (2017): 273–86. http://dx.doi.org/10.1142/s1088424617500080.

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The possible appearance and nature of alternant bond distance patterns in the inner 16-membered ring of several octaethylporphyrin [Formula: see text]-cation radicals has been investigated. This study was made possible by recognizing an unexpected solvent system, namely dichloromethane/chloroform, even though the [Formula: see text]-cation species have extremely limited solubility in chloroform. A total of six [M(OEP[Formula: see text]][Formula: see text] derivatives were studied by single-crystal X-ray structure determinations. Two new zinc derivatives display, quantitatively, the same altern

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10

Klimker, H., J. M. Perz, and M. J. G. Lee. "Uniaxial stress and strain derivatives of the Fermi-surface necks in gold." Canadian Journal of Physics 65, no. 1 (1987): 13–15. http://dx.doi.org/10.1139/p87-003.

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Simultaneous measurements of quantum oscillations in magnetostriction and torque in a single crystal of gold have been used to determine precise values for the derivatives of the cross-sectional area of the [111] neck of the Fermi surface with respect to uniaxial tensile stress along the [110] and [Formula: see text] directions. Independent estimates of the derivative with respect to uniaxial tensile stress along [111] of the neck area have been deduced from appropriate combinations of the [110] and [Formula: see text] stress derivatives with the established hydrostatic-pressure derivative. Th

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Ірина Валеріївна Царьова. "DERIVATIVE APPROACH TO THE ANALYSIS OF LEGAL TEXTS." MESSENGER of Kyiv National Linguistic University. Series Philology 20, no. 2 (2022): 131–38. http://dx.doi.org/10.32589/2311-0821.2.2017.120864.

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Introduction. The paper focuses on the complex studying of the derivative potentialof textual categories, semantic features of lexical level components, their coherence in the facetof contemporary legal linguistics. It suggests different ways of defining the notion of syntacticderivation for realizing the processes of various structural units’ derivativeness. The paper alsostresses that derivative process of the legal text forming is investigated in the facet of derivatology,which studies derivation as the means of language units’formation from a word to a text, is oneof the fields of function

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Akabane, Toshiyuki, Kazuchika Ohta, Tokihiro Takizawa, Takehiro Matsuse, and Mutsumi Kimura. "Discotic liquid crystals of transition metal complexes, 54: Rapid microwave-assisted synthesis and homeotropic alignment of phthalocyanine-based liquid crystals." Journal of Porphyrins and Phthalocyanines 21, no. 07n08 (2017): 476–92. http://dx.doi.org/10.1142/s108842461750047x.

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The most difficult problem on syntheses of the phthalocyanine-based liquid crystals is the long reaction time. In order to shorten the reaction time, we have developed novel Methods A, B and D, for the syntheses of phthalocyanine-based liquid crystals by using microwave heating and/or adding a phase transfer catalysis of Aliquat 336. A series of phthalocyanine derivatives C[Formula: see text]PcZn(1) ([Formula: see text] 10, 12, 14, 16 and 18: a, b, c and e) could be successfully synthesized in a dramatically short reaction time of 30–60 min using Methods A and B by microwave heating. On the ot

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Kheiri, Hossein, and Mohsen Jafari. "Optimal control of a fractional-order model for the HIV/AIDS epidemic." International Journal of Biomathematics 11, no. 07 (2018): 1850086. http://dx.doi.org/10.1142/s1793524518500869.

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In this paper, we present a general formulation for a fractional optimal control problem (FOCP), in which the state and co-state equations are given in terms of the left fractional derivatives. We develop the forward–backward sweep method (FBSM) using the Adams-type predictor–corrector method to solve the FOCP. We present a fractional model for transmission dynamics of human immunodeficiency virus/acquired immunodeficiency syndrome (HIV/AIDS) with treatment and incorporate three control efforts (effective use of condoms, ART treatment and behavioral change control) into the model aimed at cont

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14

Hreshchuk, Vasyl. "Occasional Word Formation in the Expressiveness of a Text." Journal of Vasyl Stefanyk Precarpathian National University 8, no. 2 (2022): 79–91. http://dx.doi.org/10.15330/jpnu.8.2.79-91.

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The article analyzes the contribution of occasional word formation to the expressiveness of the text. Making the text more expressive by means of an occasional word-formation takes place when the process of text creation involves a coining of a new word which violates the norms of lexical derivation in its structural and semantic parameters. Due to its optional, new, non-normative, functional one-time nature, occasional derivatives (coinages) have become one of the major linguistic means of forming the connotative component of the semantics of the text or its segment. An occasionally derived w

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Koutsaki, K. Paolina, Albert Tamazyan, and Alexandru Zaharescu. "On the zeros of linear combinations of derivatives of the Riemann zeta function, II." International Journal of Number Theory 14, no. 02 (2018): 371–82. http://dx.doi.org/10.1142/s1793042118500252.

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The relevant number to the Dirichlet series [Formula: see text], is defined to be the unique integer [Formula: see text] with [Formula: see text], which maximizes the quantity [Formula: see text]. In this paper, we classify the set of all relevant numbers to the Dirichlet [Formula: see text]-functions. The zeros of linear combinations of [Formula: see text] and its derivatives are also studied. We give an asymptotic formula for the supremum of the real parts of zeros of such combinations. We also compute the degree of the largest derivative needed for such a combination to vanish at a certain

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16

Xu, Yi-Hong, and Zhen-Hua Peng. "Second-Order M-Composed Tangent Derivative and Its Applications." Asia-Pacific Journal of Operational Research 35, no. 05 (2018): 1850029. http://dx.doi.org/10.1142/s021759591850029x.

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A new kind of second-order tangent derivative, second-order [Formula: see text]-composed tangent derivative, for a set-valued function is introduced with help of a modified Dubovitskij–Miljutin cone. By using the concept, several generalized convex set-valued functions are introduced. When both the objective function and constrained function are second-order [Formula: see text]-composed derivable, under the assumption of nearly cone-subconvexlikeness, by applying a separation theorem for convex sets, Fritz John and Kuhn–Tucker second-order necessary optimality conditions are obtained for a poi

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Cheng, Rongjun, Fengxin Sun, and Jufeng Wang. "High-order numerical modeling for two-dimensional two-sided space-fractional wave equation based on meshless method." International Journal of Computational Materials Science and Engineering 06, no. 01 (2017): 1750002. http://dx.doi.org/10.1142/s2047684117500026.

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The Grunwald formula is the traditional method to deal with Riemann–Liouville fractional derivative, while its convergence is only [Formula: see text]. In this paper, a high-order polynomial approximation is presented for the Riemann–Liouville fractional derivative. The quadratic polynomial functions and their fractional derivatives with explicit expressions are constructed to approximate the fractional derivative instead of Grunwald formula or shifted Grunwald formula. We proved that this technique has convergence of [Formula: see text]. Based on the MLS approximation and the high-order polyn

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18

WANG, Kai, Xiao TAN, Zhonghong WANG, et al. "Overview of the Methods for Seaweed Polysaccharide Extraction and Derivatization." Pharmaceutical and Chemical Journal 10, no. 2 (2023): 67–74. https://doi.org/10.5281/zenodo.13983824.

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With the increasing development and utilization of marine biological resources, the development of marine algae resources has also been developed to a certain extent, with abundant seaweed resources, which is the most important part of marine biological resources. The molecular structures of different alginpolysaccharides is significantly different, and the alteration of polysaccharide structure may have a decisive effect on their biological activity. Therefore, it is necessary to extract seaweed polysaccharide, study its derivatives deeply, select different derivative methods, and compare the

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Plakhotnyk, Makar. "The Derivative of the Conjugacy Between Skew Tent Maps." International Journal of Bifurcation and Chaos 28, no. 09 (2018): 1850107. http://dx.doi.org/10.1142/s0218127418501079.

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We consider in this article the properties of topological conjugacy of the tent-like maps [Formula: see text], which are piecewise linear and whose graph consists of straight line segments, extending from [Formula: see text] to [Formula: see text] to [Formula: see text], where [Formula: see text] is a parameter. For any point [Formula: see text], we reduce the calculation of the derivative of the conjugacy [Formula: see text] of functions [Formula: see text] and [Formula: see text] to the limit of a recurrently defined sequence, which is defined by [Formula: see text]. In the case [Formula: se

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Abboubakar, Hamadjam, Pushpendra Kumar, Vedat Suat Erturk, and Anoop Kumar. "A mathematical study of a tuberculosis model with fractional derivatives." International Journal of Modeling, Simulation, and Scientific Computing 12, no. 04 (2021): 2150037. http://dx.doi.org/10.1142/s1793962321500379.

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In this work, we use a Predictor–Corrector method to implement and derive an iterative solution of an existing Tuberculosis (TB) model with two fractional derivatives, namely, Caputo–Fabrizio fractional derivative and the new generalized Caputo fractional derivative. We begin by recalling some existing results such as the basic reproduction number [Formula: see text] and the equilibrium points of the model. Then, we study the global asymptotic stability of disease-free equilibrium of the fractional models. We also prove, for each fractional model, the existence and uniqueness of solutions. An

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Baccouch, Mahboub. "A Recovery-Based Error Estimator for the Discontinuous Galerkin Method for Transient Linear Hyperbolic Conservation Laws on Cartesian Grids." International Journal of Computational Methods 14, no. 06 (2017): 1750062. http://dx.doi.org/10.1142/s0219876217500621.

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This paper is concerned with the application of the discontinuous Galerkin (DG) method to the solution of unsteady linear hyperbolic conservation laws on Cartesian grids. We present several superconvergence results and we construct a robust recovery-type a posteriori error estimator for the directional derivative approximation based on an enhanced recovery technique. We first identify a special numerical flux and a suitable initial discretization for which the [Formula: see text]-norm of the solution is of order [Formula: see text], when tensor product polynomials of degree at most [Formula: s

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SAPAR, S. H., and K. A. MOHD ATAN. "A METHOD OF ESTIMATING THE p-ADIC SIZES OF COMMON ZEROS OF PARTIAL DERIVATIVE POLYNOMIALS ASSOCIATED WITH A QUINTIC FORM." International Journal of Number Theory 05, no. 03 (2009): 541–54. http://dx.doi.org/10.1142/s1793042109002249.

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It is known that the value of the exponential sum [Formula: see text] can be derived from the estimate of the cardinality |V|, the number of elements contained in the set [Formula: see text] where [Formula: see text] is the partial derivatives of [Formula: see text] with respect to [Formula: see text]. The cardinality of V in turn can be derived from the p-adic sizes of common zeros of the partial derivatives [Formula: see text]. This paper presents a method of determining the p-adic sizes of the components of (ξ,η) a common root of partial derivative polynomials of f(x,y) in Zp[x,y] of degree

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Chen, Guohua, and Xiaofei Yan. "Non-vanishing of the first derivative of GL(3) ×GL(2) L-functions." International Journal of Number Theory 14, no. 03 (2018): 847–69. http://dx.doi.org/10.1142/s1793042118500513.

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Let [Formula: see text] be a fixed self-dual Hecke–Maass cusp form for [Formula: see text] and [Formula: see text] be an orthogonal basis of odd Hecke–Maass cusp forms for [Formula: see text]. We prove an asymptotic formula for the average of the first derivative of the Rankin–Selberg [Formula: see text]-function of [Formula: see text] and [Formula: see text] at the center point [Formula: see text]. This implies the non-vanishing results for the first derivative of these [Formula: see text]-functions at the center point [Formula: see text].

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24

Gallegos, Alfonso. "El componente pragmático en la morfología derivativa y flexiva del español." Lexis 38, no. 1 (2014): 117–61. http://dx.doi.org/10.18800/lexis.201401.004.

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ResumenEn este trabajo se aborda la interdependencia entre semántica y pramática a partir del análisis de dos fenómenos morfológicos del español, uno derivativo —la formación de nombres deverbales con significado «acción de ‘x’»— y otro flexivo —el uso del futuro de subjuntivo en prótasis condicionales con si—. Los resultados demostrarán que la actualización de las formas generadas a partir de estos procesos morfológicos no es completamente ajena a ciertos aspectos de naturaleza pragmática, como la selección de determinada variante (o registro) de lengua, el uso de determinados tipos textuales

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Shojaee, R., K. Nozari та F. Darabi. "α-Attractors and reheating in a nonminimal inflationary model". International Journal of Modern Physics D 29, № 10 (2020): 2050077. http://dx.doi.org/10.1142/s0218271820500777.

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We study [Formula: see text]-attractor models with both E-model and T-model potential in an extended Nonminimal Derivative (NMD) inflation where a canonical scalar field and its derivatives are nonminimally coupled to gravity. We calculate the evolution of perturbations during this regime. Then by adopting inflation potentials of the model we show that in the large [Formula: see text] and small [Formula: see text] limit, the value of the scalar spectral index [Formula: see text] and tensor-to-scalar ratio [Formula: see text] are universal. Next, we study reheating after inflation in this forma

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Boos, Jens. "Gravitational Friedel oscillations in higher-derivative and infinite-derivative gravity?" International Journal of Modern Physics D 27, no. 14 (2018): 1847022. http://dx.doi.org/10.1142/s0218271818470223.

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When a positively charged impurity is placed inside a cold metal, the resulting charge density around that object exhibits characteristic ripples to negative values, known as Friedel oscillations. In this essay, we describe a somewhat analogous effect in (i) linearized higher-derivative gravity and (ii) linearized infinite-derivative “ghost-free” gravity: when a gravitational impurity (point particle) is placed in Minkowski vacuum, the local energy density [Formula: see text] (with [Formula: see text]) exhibits oscillations to negative values. The wavelength of these oscillations is roughly gi

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Watarai, Ayumi, Kazuchika Ohta, and Mikio Yasutake. "Flying-seed-like mesogens 6: Synthesis and mesomorphism of phthalocyanine derivatives substituted by pentafluorosulfanylphenoxy group." Journal of Porphyrins and Phthalocyanines 20, no. 07 (2016): 822–32. http://dx.doi.org/10.1142/s1088424616501005.

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We have synthesized two novel phthalocyanines, (m-SF[Formula: see text]PhO)[Formula: see text]PcCu (7b) and (p-SF[Formula: see text]PhO)[Formula: see text]PcCu (7c), in order to investigate their flying-seed-like mesomorphism. Their phase transition behavior and the mesophase structure have been established by using a polarizing optical microscope, a differential scanning calorimeter, and a temperature-dependent small angle X-ray diffractometer. Very interestingly, the derivative (m-SF[Formula: see text]PhO)[Formula: see text]PcCu (7b) substituted a SF5group at [Formula: see text]-position sho

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Khalesi, Hassan, and Vahid Ghods. "QPSK Modulation Scheme Based on Orthogonal Gaussian Pulses for IR-UWB Communication Systems." Journal of Circuits, Systems and Computers 28, no. 01 (2018): 1950008. http://dx.doi.org/10.1142/s0218126619500087.

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A new impulse radio-ultra wideband (IR-UWB) communication system with quadrature phase shift keying (QPSK) modulation scheme was presented in this research. The system utilized orthogonal property of fourth- and fifth-order derivatives of Gaussian pulses for modulation and time hopping (TH) multiple-access scheme. This system was compared with conventional TH-PPM and TH-BPSK systems at the same condition. The simulation results in multipath channel showed that the proposed system can provide better bit rate performance compared with the conventional IR-UWB system. A very low power and low comp

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Schaefer, Ted, Robert W. Schurko, Rudy Sebastian, and Frank E. Hruska. "Experimental and theoretical assessments of the substituent and medium dependence of the internal rotational potentials in benzyl fluoride. 3,5-Difluorobenzyl fluoride and 4-fluorobenzyl fluoride." Canadian Journal of Chemistry 73, no. 6 (1995): 816–25. http://dx.doi.org/10.1139/v95-102.

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The 1H, 19F, and 13C {H} nuclear magnetic resonance spectra at 300 K of 4-fluoro- and 3,5-difluorobenzyl fluoride, dissolved in CS2–C6D12 and acetone-d6, are fully analyzed. Spin–spin coupling constants over four, five, and six formal bonds are used to derive expectation values of sin2θ and [Formula: see text] and the apparent twofold internal rotational potentials; [Formula: see text] is the angle by which the α C—F(C—H) bond twists out of the ring plane. The conformation of lowest energy has [Formula: see text] for the 3,5-difluoro compound in the polar and nonpolar solutions, whereas it has

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Wang, Chen, Lei Wang, Liansheng Yu, Hengxin Ren, and Yuguang Lv. "Synthesis and application of new rhodamine 6G-derivative fluorescent probe molecules." E3S Web of Conferences 260 (2021): 01009. http://dx.doi.org/10.1051/e3sconf/202126001009.

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In the text, a new fluorescent probe based on rhodamine spirolactam ring was designed and synthesized. Rhodamine-like derivatives have not only good response speed and luminous performance, but also have a special switch type structure, which can specifically recognize responsive metal ions. In the paper, Rh-TEF, a 6G derivative of rhodamine, was synthesized by condensation reaction, the synthesized fluorescent probe was successfully used for solutions sample detection.

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Cidlina, Antonin, Zuzana Pausimova, Miroslav Miletin, Petr Zimcik, and Veronika Novakova. "The effect of substitutents at alkylsulfanyl/arylsulfanyl non-peripherally substituted phthalocyanines: Spectral and photophysical properties, basicity and photostability." Journal of Porphyrins and Phthalocyanines 19, no. 10 (2015): 1095–106. http://dx.doi.org/10.1142/s1088424615500832.

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A series of magnesium, zinc and metal-free derivatives of non-peripherally substituted phthalocyanines (Pcs) bearing alkylsulfanyl or arylsulfanyl groups of different bulkiness was synthesized. Their spectral and photophysical properties including also the basicity of azomethine nitrogens and photostability were compared within the series as well as with similar peripherally substituted Pcs. Non-peripheral position of substituents led to the 70[Formula: see text]nm red-shift of Q-band in comparison to the peripherally substituted Pcs. However, unexpected blue-shift of approximately 50[Formula:

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Quadri, A. "Higgs potential from derivative interactions." International Journal of Modern Physics A 32, no. 16 (2017): 1750089. http://dx.doi.org/10.1142/s0217751x17500890.

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A formulation of the linear [Formula: see text] model with derivative interactions is studied. The classical theory is on-shell equivalent to the [Formula: see text] model with the standard quartic Higgs potential. The mass of the scalar mode only appears in the quadratic part and not in the interaction vertices, unlike in the ordinary formulation of the theory. Renormalization of the model is discussed. A nonpower-counting renormalizable extension, obeying the defining functional identities of the theory, is presented. This extension is physically equivalent to the tree-level inclusion of a d

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Akhigbe, Joshua, Michael Luciano, Adewole O. Atoyebi, Steffen Jockusch, and Christian Brückner. "Quinoline-annulated porphyrin platinum complexes as NIR emitters." Journal of Porphyrins and Phthalocyanines 24, no. 01n03 (2020): 386–93. http://dx.doi.org/10.1142/s1088424619501256.

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The platinum(II) complexes of known quinoline-annulated porphyrins were prepared and spectroscopically characterized. Their optical properties (UV-vis absorption and phosphorescence spectra and phosphorescence lifetimes) were recorded and contrasted against their 2,3-dioxoporphyrin precursor platinum(II) complex. The absorbance and emission spectra (in EtOH glass at 77 K) of the quinoline-annulated porphyrins fall within the NIR optical window of tissue, ranging, depending on the derivative, between [Formula: see text]950 and 1200 nm. The much red-shifted optical spectra, when compared to thei

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Heigl, Werner M. "Computing Gaussian derivative waveforms of any order." GEOPHYSICS 72, no. 4 (2007): H39—H42. http://dx.doi.org/10.1190/1.2716624.

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The first and second derivatives of a Gaussian, also known as Ricker wavelets, are often used as source waveforms in forward modeling of seismic and electromagnetic wavefields. In applications such as borehole acoustics, the source waveform has more cycles than traditional Ricker wavelets. For such sources, the higher-order derivatives of a Gaussian are a more accurate representation. Such a source waveform can be computed as the product of a Hermite polynomial and the Gaussian; taking the required derivative is not necessary. Explicit expressions for these polynomials are not required because

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Gupta, Anuradha, and Pooja Sharma. "Weighted fractional differentiation composition operators from mixed-norm spaces to Zygmund spaces." Asian-European Journal of Mathematics 10, no. 04 (2017): 1750082. http://dx.doi.org/10.1142/s1793557117500826.

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The fractional derivative operator is an extension of the usual derivative operator [Formula: see text] to an arbitrary (integer, rational, irrational or complex) values of [Formula: see text]. In this paper, weighted fractional differentiation composition operators from mixed-norm spaces to Zygmund spaces are characterized in terms of boundedness and compactness.

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Sheng, Bao-Huai, and Jian-Li Wang. "On the K-functional in learning theory." Analysis and Applications 18, no. 03 (2019): 423–46. http://dx.doi.org/10.1142/s0219530519500192.

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[Formula: see text]-functionals are used in learning theory literature to study approximation errors in kernel-based regularization schemes. In this paper, we study the approximation error and [Formula: see text]-functionals in [Formula: see text] spaces with [Formula: see text]. To this end, we give a new viewpoint for a reproducing kernel Hilbert space (RKHS) from a fractional derivative and treat powers of the induced integral operator as fractional derivatives of various orders. Then a generalized translation operator is defined by Fourier multipliers, with which a generalized modulus of s

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CAO, XIAO-QUN, SHI-CHENG HOU, YA-NAN GUO, CHENG-ZHUO ZHANG, and KE-CHENG PENG. "VARIATIONAL PRINCIPLE FOR (2 + 1)-DIMENSIONAL BROER–KAUP EQUATIONS WITH FRACTAL DERIVATIVES." Fractals 28, no. 07 (2020): 2050107. http://dx.doi.org/10.1142/s0218348x20501078.

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This paper extends the [Formula: see text]-dimensional Broer–Kaup equations in continuum mechanics to its fractional partner, which can model a lot of nonlinear waves in fractal porous media. Its derivation is demonstrated in detail by applying He’s fractional derivative. Using the semi-inverse method, two variational principles are established for the nonlinear coupled equations, which up to now are not discovered. The variational formulations can help to study the symmetries and find conserved quantities in the fractal space. The obtained variational principles are proved correct by minimizi

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Manavella, E. C. "Quantum field formalism for the higher-derivative nonrelativistic electrodynamics in 1+1 dimensions." International Journal of Modern Physics A 34, no. 09 (2019): 1950050. http://dx.doi.org/10.1142/s0217751x19500507.

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Starting from the classical nonrelativistic electrodynamics in 1[Formula: see text]+[Formula: see text]1 dimensions, a higher-derivative version is proposed. This is made by adding a suitable higher-derivative term for the electromagnetic field to the Lagrangian of the original electrodynamics, preserving its gauge invariance. By following the usual Hamiltonian method for singular higher-derivative systems, the canonical quantization for the higher-derivative model is developed. By extending the Faddeev–Senjanovic algorithm, the path integral quantization is carried out. Hence, the Feynman rul

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Le, Binh Nguyen, Zhuo-Yun Nie, and Qing-Guo Wang. "Parametric approach to computing stabilizing proportional-integral-derivative regions." Transactions of the Institute of Measurement and Control 41, no. 1 (2018): 165–81. http://dx.doi.org/10.1177/0142331218757863.

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This paper addresses the problem of determining the stabilizing proportional-integral-derivative controller regions for a general linear system with or without time delay in unity output feedback configuration. When such a problem is solved in the 3D space by a graphical method, it brings in the visualizing difficulties. This paper proposes a new method by projecting the stability boundary in the 3D to the parameterized stability boundary band in the 2D plane of [Formula: see text] while [Formula: see text] varies in an interval. The boundary band divides the plane to the regions for which sim

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Nikolov, Petko A., and Nikola P. Petrov. "Restriction and dimensional reduction of differential operators." International Journal of Geometric Methods in Modern Physics 16, no. 06 (2019): 1950094. http://dx.doi.org/10.1142/s0219887819500944.

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We consider the restriction of a differential operator (DO) [Formula: see text] acting on the sections [Formula: see text] of a vector bundle [Formula: see text] with base [Formula: see text], in the language of jet bundles. When the base of [Formula: see text] is restricted to a submanifold [Formula: see text], all information about derivatives in directions that are not tangent to [Formula: see text] is lost. To restrict [Formula: see text] to a DO [Formula: see text] acting on sections [Formula: see text] of the restricted bundle [Formula: see text] (with [Formula: see text] the natural emb

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PRASAD, SRIJANANI ANURAG. "FRACTIONAL CALCULUS OF COALESCENCE HIDDEN-VARIABLE FRACTAL INTERPOLATION FUNCTIONS." Fractals 25, no. 02 (2017): 1750019. http://dx.doi.org/10.1142/s0218348x17500190.

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Riemann–Liouville fractional calculus of Coalescence Hidden-variable Fractal Interpolation Function (CHFIF) is studied in this paper. It is shown in this paper that fractional integral of order [Formula: see text] of a CHFIF defined on any interval [Formula: see text] is also a CHFIF albeit passing through different interpolation points. Further, conditions for fractional derivative of order [Formula: see text] of a CHFIF is derived in this paper. It is shown that under these conditions on free parameters, fractional derivative of order [Formula: see text] of a CHFIF defined on any interval [F

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Nasri, Habib, Allen G. Oliver, Mayou Shang, and W. Robert Scheidt. "Fe(TpivPP)(NO2)2]−: What is the nitrite orientation?" Journal of Porphyrins and Phthalocyanines 22, no. 12 (2018): 1054–59. http://dx.doi.org/10.1142/s1088424618501018.

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We have prepared a new crystalline derivative of [Fe(TpivPP)(NO2)2][Formula: see text] with the [K(222)][Formula: see text] cation. The newly determined structure of the anion resolves an ambiguity about the relative orientation of the two axial nitrite ligands which were found in a previous structure determination with a different cation. The two NO[Formula: see text] ligands are found to have a relative perpendicular orientation with Fe[Formula: see text]–N(NO2) distances of 1.974 (6) Åand 1.994 (6) Å. The average Fe[Formula: see text]–N[Formula: see text] distance in the low-spin six-coordi

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BOUZIANIS, GEORGE, and LANE P. HUGHSTON. "DETERMINATION OF THE LÉVY EXPONENT IN ASSET PRICING MODELS." International Journal of Theoretical and Applied Finance 22, no. 01 (2019): 1950008. http://dx.doi.org/10.1142/s0219024919500080.

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We consider the problem of determining the Lévy exponent in a Lévy model for asset prices given the price data of derivatives. The model, formulated under the real-world measure [Formula: see text], consists of a pricing kernel [Formula: see text] together with one or more non-dividend-paying risky assets driven by the same Lévy process. If [Formula: see text] denotes the price process of such an asset, then [Formula: see text] is a [Formula: see text]-martingale. The Lévy process [Formula: see text] is assumed to have exponential moments, implying the existence of a Lévy exponent [Formula: se

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44

Basu, Anirban. "Simplifying the one-loop five graviton amplitude in type IIB string theory." International Journal of Modern Physics A 32, no. 14 (2017): 1750074. http://dx.doi.org/10.1142/s0217751x17500749.

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We consider the [Formula: see text] and [Formula: see text] terms in the low momentum expansion of the five graviton amplitude in type IIB string theory at one loop. They involve integrals of various modular graph functions over the fundamental domain of [Formula: see text]. Unlike the graphs which arise in the four graviton amplitude or at lower orders in the momentum expansion of the five graviton amplitude where the links are given by scalar Green functions, there are several graphs for the [Formula: see text] and [Formula: see text] terms where each of these two links are given by a deriva

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Liang, Jianli, Longkun Tang, Yonghui Xia, and Yi Zhang. "Bifurcations and Exact Solutions for a Class of MKdV Equations with the Conformable Fractional Derivative via Dynamical System Method." International Journal of Bifurcation and Chaos 30, no. 01 (2020): 2050004. http://dx.doi.org/10.1142/s0218127420500042.

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In 2014, Khalil et al. [2014] proposed the conformable fractional derivative, which obeys chain rule and the Leibniz rule. In this paper, motivated by the monograph of Jibin Li [Li, 2013], we study the exact traveling wave solutions for a class of third-order MKdV equations with the conformable fractional derivative. Our approach is based on the bifurcation theory of planar dynamical systems, which is much different from the simplest equation method proposed in [Chen & Jiang, 2018]. By employing the traveling wave transformation [Formula: see text] [Formula: see text], we reduce the PDE to

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46

Sinha, Bikash K., and Kenneth W. Winkler. "Formation nonlinear constants from sonic measurements at two borehole pressures." GEOPHYSICS 64, no. 6 (1999): 1890–900. http://dx.doi.org/10.1190/1.1444695.

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Granular structure and microcracks in rocks cause large nonlinearities in the constitutive relations that result in the stress dependence of acoustic‐wave velocities. The nonlinear constitutive relations of isotropic materials are described in terms of two linear and three nonlinear elastic constants. For nonhyperelastic materials such as rocks, these constants are defined in terms of strain derivatives of stresses for either the load or unload cycle. Acoustic waveforms at an array of receivers recorded at two different borehole pressures can be used to estimate two of the three formation nonl

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IDA, CRISTIAN. "VERTICAL TANGENTIAL INVARIANTS ON SOME FOLIATED LAGRANGE SPACES." International Journal of Geometric Methods in Modern Physics 10, no. 04 (2013): 1320002. http://dx.doi.org/10.1142/s0219887813200028.

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In this paper we consider a decomposition of tangentially differential forms with respect to the lifted foliation [Formula: see text] to the tangent bundle of a Lagrange space [Formula: see text] endowed with a regular foliation [Formula: see text]. First, starting from a natural decomposition of the tangential exterior derivative along the leaves of [Formula: see text], we define some vertical tangential cohomology groups of the foliated manifold [Formula: see text], we prove a Poincaré lemma for the vertical tangential derivative and we obtain a de Rham theorem for this cohomology. Next, in

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Miao, Changxing, Xingdong Tang, and Guixiang Xu. "Solitary waves for nonlinear Schrödinger equation with derivative." Communications in Contemporary Mathematics 20, no. 04 (2018): 1750049. http://dx.doi.org/10.1142/s0219199717500493.

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In this paper, we characterize a family of solitary waves for nonlinear Schrödinger equation (NLS) with derivative (DNLS) by the structure analysis and the variational argument. Since DNLS does not enjoy the Galilean invariance any more, the structure analysis here is closely related with the nontrivial momentum and shows the equivalence of nontrivial solutions between the quasilinear and the semilinear equations. Firstly, for the subcritical parameters [Formula: see text] and the critical parameters [Formula: see text], we show the existence and uniqueness of the solitary waves for DNLS, up t

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49

Kazantsev, A. E., M. B. Skoptsov та K. V. Stepanyantz. "One-loop polarization operator of the quantum gauge superfield for 𝒩 = 1 SYM regularized by higher derivatives". Modern Physics Letters A 32, № 36 (2017): 1750194. http://dx.doi.org/10.1142/s0217732317501942.

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We consider the general [Formula: see text] supersymmetric gauge theory with matter, regularized by higher covariant derivatives without breaking the BRST invariance, in the massless limit. In the [Formula: see text]-gauge we obtain the (unrenormalized) expression for the two-point Green function of the quantum gauge superfield in the one-loop approximation as a sum of integrals over the loop momentum. The result is presented as a sum of three parts: the first one corresponds to the pure supersymmetric Yang–Mills theory in the Feynman gauge, the second one contains all gauge-dependent terms, a

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Shpilnaya, Nadezhda N. "Dialogical text as component of the derivative interpretative process." Vestnik Tomskogo gosudarstvennogo universiteta. Filologiya, no. 4(36) (August 1, 2015): 56–70. http://dx.doi.org/10.17223/19986645/36/5.

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