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Journal articles on the topic 'N transformation'

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Published: 5 June 2025

Last updated: 24 June 2025

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1

Al-Dohiman, Abeer A., Sid Ahmed Ould Ahmed Mahmoud, and Basem Aref Frasin. "n-Quasi-m-Complex Symmetric Transformations." Symmetry 15, no. 9 (2023): 1662. http://dx.doi.org/10.3390/sym15091662.

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Our aim in this study is to consider a generalization of the concept of m-complex symmetric transformations to n-quasi-m-complex symmetric transformations. A map S∈B(Y) is said to be an n-quasi-m-complex symmetric transformation if there exists a conjugation C on Y such that S satisfies the condition S*n∑0≤k≤m(−1)m−kmkS*kCSm−kCSn=0, for some positive integers n and m. This class of transformation contains the class of m-complex symmetric transformations as a proper subset. Some basic structural properties of n-quasi-m-complex symmetric linear transformations are established with the help of transformation matrix representation. In particular, we obtain that a power of an n-quasi-m-complex symmetric is again an n-quasi-m-complex symmetric operator. Moreover, if T and S are such that T is an n1-quasi-m1-complex symmetric and S is an n2-quasi-m2-complex symmetric, their product TS is an max{n1,n2}-quasi-(m1+m2−1)-complex symmetric under suitable conditions. We examine the stability of n-quasi-m-complex symmetric operators under perturbation by nilpotent operators.

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2

Molodtsov, Viktor. "N-Zvezdy Provodimostey Transformation to Equivalent Full N-Ugolnik." Известия высших учебных заведений. Электромеханика, no. 1 (2016): 12–18. http://dx.doi.org/10.17213/0136-3360-2016-1-12-18.

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3

Fülöp, Zoltán, and Loránd Muzamel. "Pebble Macro Tree Transducers with Strong Pebble Handling." Fundamenta Informaticae 89, no. 2-3 (2008): 207–57. https://doi.org/10.3233/fun-2008-892-303.

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We consider pebble macro tree transducers with call-by-name semantics and strong pebble handling. The latter means that the last dropped pebble can be lifted regardless of the position of the reading head. This tree transducer concept is a generalization of the pebblemacro tree transducer introduced by J. Engelfriet and S. Maneth in 2003, however we leave the original name untouched. Our main results are that (1) every n-pebble macro tree transformation can be characterized by the composition of an n-pebble tree transformation and a yield tree transformation, and (2) each n-pebble tree transformation can also be computed by an (n − 1)-pebble macro tree transformation. Using (1) and (2) we prove that every n-pebblemacro tree transformation appears as the composition of n+2 stay-macro tree transformations and hence, the inverses of n-pebble macro tree transformations preserve regularity. Finally, using the previous results, we show that the type checking problem for n-pebble macro tree transducers is decidable.

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4

Yusuf, Usman Mohammed, Moses Anayo Mbah, and Abimiku Alaku. "On Signed Full Transformation Semigroup of a Finite Set." FULafia Journal of Science and Technology 9, no. 1 (2025): 54–56. https://doi.org/10.62050/fjst2025.v9n1.510.

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If we define [n] = {1,2,3,...,n} and [n*] = {±1,±2,±3...,±n}. A map α: [n] → [n*] is called a signed transformation on [n]. The collection of all these maps together with composition forms a semigroup called a signed transformation semigroup. Given that dom(α) = [n], the signed transformation semigroup will be called a signed full transformation semigroup on [n]. In this paper, we obtain formulas that count the number of elements in the semigroups of order decreasing, order preserving and order decreasing signed transformations on [n]. We equally do same for the sub-semigroup of the signed transformation semigroup consisting only of idempotents.

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5

Akbas, M., та D. Singerman. "The normalizer of Γ0(N) in PSL(2, ℝ)". Glasgow Mathematical Journal 32, № 3 (1990): 317–27. http://dx.doi.org/10.1017/s001708950000940x.

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Let Γ denote the modular group, consisting of the Möbius transformationsAs usual we denote the above transformation by the matrix remembering that V and – V represent the same transformation. If N is a positive integer we let Γ0(N) denote the transformations for which c ≡ 0 mod N. Then Γ0(N) is a subgroup of indexthe product being taken over all prime divisors of N.

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6

Li, Yu-An, Ge Wu, and Jia Li. "Palladium-Catalyzed N-Alkenylation of N-Aryl Phosphoramidates with Alkenes." Molecules 28, no. 11 (2023): 4466. http://dx.doi.org/10.3390/molecules28114466.

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Versatile and concise Pd-catalyzed oxidative N-alkenylation of N-aryl phosphoramidates with alkenes is described in this study, a reaction that is of great significance but surprisingly unexploited. The transformation proceeds under mild reaction conditions, using O2 as a green oxidant and TBAB as an effective additive. An efficient catalytic system allows a variety of drug-related substrates to participate in these transformations, which is of great interest in the drug discovery and development of phosphoramidates.

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7

Michalski, Jerzy, and Tadeusz Frączek. "Phase transitions in the Fe/NH3/H2 and Fe-N systems." Inżynieria Powierzchni 26, no. 1 (2021): 5–13. http://dx.doi.org/10.5604/01.3001.0014.8773.

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In the article, based on the literature, the phase changes in iron nitrides on iron powders and on solid samples were discussed. Phase transformations in NH3/H2 atmosphere and in inert atmospheres are discussed. The similarity of phase transformations in different atmospheres used during annealing were indicated. The conditions of phase transformations in iron nitrides during annealing in NH3/H2 atmosphere, argon and vacuum were discussed. Phase transformations occurring during annealing in the NH3/H2 atmosphere are reversible and there is a hysteresis phenomenon. During the phase transformation ɛγ' in the NH3/H2 atmosphere until the transformation is completed, nitrogen emission to the atmosphere takes place. On the other hand, the condition for the course of the transformation of γ'ɛ is the nitrogen flow from the atmosphere to the surface. Phase changes during heating in vacuum and argon are irreversible. During continuous heating at a rate of 30 K / min in vacuum and argon, nitrided iron powders, two phase transformations may occur, which are not accompanied by weight loss, the first (α+γ')γN in the temperature range 540÷550°C in a vacuum and 620÷630°C in argon and the second (γ+γ')ɛ in the range of 610÷620°C in vacuum and 690÷710°C in argon. In the case of heating in argon, the onset of weight loss was recorded at a temperature of about 860°C. Whereas in vacuum the denitration of nitrogen austenite γN ends at this temperature. During annealing at the temperature of 360°C, the phase change ɛγ′ in the ɛ/γ′ layer is accompanied by an increase in the thickness of the γ′ phase, which is at the expense of the thickness of the ɛ zone, while the total thickness of the layer after the transformation is the same as its initial thickness. At the temperature of 420°C, after the completion of the γ′ transformation, the formed monophasic layer γ′ is thicker than the ɛ/γ′ layers in the initial state.

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Pisipati, V. G. K. M., N. V. S. Rao, P. V. Datta Prasad, and P. R. Alapati. "Density, Refractive Index and Ultrasonic Velocity Studies Involving N-(p-n-Pentyloxybenzylidene)-p-n-octylaniline." Zeitschrift für Naturforschung A 40, no. 5 (1985): 472–75. http://dx.doi.org/10.1515/zna-1985-0509.

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The density, refractive index and ultrasonic velocity dependence on temperature for N-(p-npentyloxybenzylidene)- p-n-octylaniline, 50.8, is presented. The compound 50.8 exhibits smectic-B, smectic-A and nematic phases between the solid and isotropic liquid phases. The nematic-isotropic and smectic A-smectic B phase transformations are found to be first order. The interesting smectic A - nematic transformation is confirmed from the results to be second order, although the thermal expansion coefficient and reported enthalpy data had suggested a weak first order transition. The computed adiabatic compressibility, βad, molar sound velocity, Rn, and molar compressibility Aw are presented.

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EAST, JAMES. "PRESENTATIONS FOR SINGULAR SUBSEMIGROUPS OF THE PARTIAL TRANSFORMATION SEMIGROUP." International Journal of Algebra and Computation 20, no. 01 (2010): 1–25. http://dx.doi.org/10.1142/s0218196710005509.

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The partial transformation semigroup [Formula: see text] is the semigroup of all partial transformations on the finite set n = {1,…, n}. The transformation semigroup [Formula: see text] and the symmetric group [Formula: see text] consist of all (full) transformations on n and permutations on n, respectively. We obtain presentations, in terms of generators and relations, for the singular subsemigroups [Formula: see text] and [Formula: see text]. We also calculate the ranks of both subsemigroups.

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10

Nie, Yanxia, Xiaoge Han, Jie Chen, Mengcen Wang, and Weijun Shen. "The simulated N deposition accelerates net N mineralization and nitrification in a tropical forest soil." Biogeosciences 16, no. 21 (2019): 4277–91. http://dx.doi.org/10.5194/bg-16-4277-2019.

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Abstract. Elevated nitrogen (N) deposition affects soil N transformations in the N-rich soil of tropical forests. However, the change in soil functional microorganisms responsible for soil N cycling remains largely unknown. Here, we investigated the variation in soil inorganic N content, net N mineralization (Rm), net nitrification (Rn), inorganic N leaching (Rl), N2O efflux and N-related functional gene abundance in a tropical forest soil over a 2-year period with four levels of N addition. The responses of soil net N transformations (in situ Rm and Rn) and Rl to N additions were negligible during the first year of N inputs. The Rm, Rn, and Rl increased with the medium nitrogen (MN) and high nitrogen (HN) treatments relative to the control treatments in the second year of N additions. Furthermore, the Rm, Rn, and Rl were higher in the wet season than in the dry season. The Rm and Rn were mainly associated with the N addition-induced lower C:N ratio in the dry season but with higher microbial biomass in the wet season. Throughout the study period, high N additions increased the annual N2O emissions by 78 %. Overall, N additions significantly facilitated Rm, Rn, Rl and N2O emission. In addition, the MN and HN treatments increased the ammonia-oxidizing archaea (AOA) abundance by 17.3 % and 7.5 %, respectively. Meanwhile, the HN addition significantly increased the abundance of nirK denitrifiers but significantly decreased the abundance of ammonia-oxidizing bacteria (AOB) and nosZ-containing N2O reducers. To some extent, the variation in functional gene abundance was related to the corresponding N-transformation processes. Partial least squares path modelling (PLS-PM) indicated that inorganic N contents had significantly negative direct effects on the abundances of N-related functional genes in the wet season, implying that chronic N deposition would have a negative effect on the N-cycling-related microbes and the function of N transformation. Our results provide evidence that elevated N deposition may impose consistent stimulatory effects on soil N-transformation rates but differentiated impacts on related microbial functional genes. Long-term experimentation or observations are needed to decipher the interrelations between the rate of soil N-transformation processes and the abundance or expression of related functional genes.

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11

Botoshansky, M., A. Ellern, N. Gasper, J. O. Henck, and F. H. Herbstein. "Structural, Thermodynamic and Kinetic (Hysteresis) Aspects of the Enantiotropic First-Order Phase Transformations of N-Anilinophthalimide and N-(N'-Methylanilino)phthalimide." Acta Crystallographica Section B Structural Science 54, no. 3 (1998): 277–90. http://dx.doi.org/10.1107/s0108768197012135.

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The crystal structures of the orthorhombic and monoclinic polymorphs of N-anilinophthalimide (m.p. of monoclinic polymorph 457 K) have been determined by X-ray diffraction at 293 K and were found to have only small differences between the molecular conformations in the two phases, but quite different molecular arrangements. There is very weak N—H...O hydrogen bonding in the orthorhombic phase and weak N—H...O hydrogen bonding in the monoclinic phase. The thermal motion in the crystals of both phases has been analyzed and their thermal expansion determined. The enthalpies of solution in a number of solvents have been calculated from the solubility measurements of Chattaway & Lambert [(1915), J. Chem. Soc. 107, 1773–1781], which also give the temperature and enthalpy of the enantiotropic `orthorhombic to monoclinic' phase transformation (Tc = 283 K; ΔH transf = 1.54 kJ mol−1). The phase-transformation endotherm in a DSC (differential scanning calorimetry) trace from the orthorhombic polymorph occurs only at ∼310 K on heating and there is no corresponding exotherm on cooling; the DSC trace gives ΔH transf = 1.62 kJ mol−1 and ΔH fus = 26.9 kJ mol−1. This phase transformation is an example of the common type (occurrence ∼95%) where ΔV transf = (V monoclinic − V orthorhombic) is positive. Analogous (but less complete) results have been obtained for the monoclinic and triclinic polymorphs of N-(N′-methylanilino)phthalimide (m.p. of triclinic polymorph 398 K). There were only minor differences between the molecular conformations in the two phases, but the molecular arrangements were quite different. This `monoclinic to triclinic' phase transformation also has ΔV transf = (V triclinic − V monoclinic) positive. The solubility (and other) measurements of Chattaway & Lambert (1915) gave Tc = 328.43 K and ΔH transf = 4.17 kJ mol−1. A DSC trace for the monoclinic crystals shows a broad endotherm at ∼372–376 K on heating, but there is no corresponding exotherm on cooling; ΔH transf = 3.6 kJ mol−1 and ΔH fus = 21.7 kJ mol−1. These two compounds provide further examples of molecular crystals with a large hysteresis in their first-order enantiotropic solid-state phase transformations, the transformation to the high-temperature phase occurring well above Tc and the low-temperature phase not being recovered on cooling below Tc . Presumably the hysteresis must be ascribed to as-yet unknown features of the nucleation processes.

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12

Abraham A, Ungar. "Understanding Lorentz Utilizing Galilei: The Emergence of a Friendly Extended Special Relativity Theory that Admits Relativistic Multi-Particle Entanglement." Annals of Mathematics and Physics 7, no. 2 (2024): 150–57. http://dx.doi.org/10.17352/amp.000118.

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Special relativity theory stems from the Lorentz transformation of signature (1,3). The incorporation into special relativity of the Lorentz transformations of signature (m,n) for all m,n∈ℕ (n = 3 in physical applications) enriches the theory. The resulting enriched special relativity is a friendly extended special relativity that admits multi-particle entanglement, as demanded by relativistic quantum mechanics. The Lorentz transformation of signature (m,n) admits a novel physical interpretation induced by the intuitively clear interpretation of the Galilei transformation of signature (m,n) for all m,n > 1. In this sense we understand Lorentz utilizing Galilei in m temporal and n spatial dimensions, resulting in the emergence of multi-particle entanglement that the enriched special theory of relativity admits. Remarkably, it turns out that, for any m,n∈ℕ, the group of Lorentz transformations of signature (m,n) is the symmetry group that underlies any multi-particle system that consists of m n - dimensional entangled particles.

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13

Jussy, J. H., M. Colin-Belgrand, É. Dambrine, J. Ranger, B. Zeller, and S. Bienaimé. "N deposition, N transformation and N leaching in acid forest soils." Biogeochemistry 69, no. 2 (2004): 241–62. http://dx.doi.org/10.1023/b:biog.0000031050.13663.82.

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14

Ezawa, Masatoshi, Katsuhiko Moriyama, and Hideo Togo. "Transformation of N , N -diisopropylarylmethylamines into N -isopropylarylmethylamines with molecular iodine." Tetrahedron Letters 56, no. 48 (2015): 6689–92. http://dx.doi.org/10.1016/j.tetlet.2015.10.044.

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15

Torchet, G., M. ‐F de Feraudy, A. Boutin, and A. H. Fuchs. "Structural transformation in (CO2)N clusters, N<100." Journal of Chemical Physics 105, no. 9 (1996): 3671–78. http://dx.doi.org/10.1063/1.472237.

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16

Tal, Pokalas P., Eze Chibueze, and Yulari Sanda. "Maximum Works Performed by Signed Partial Transformations of a Finite Set." Mikailalsys Journal of Mathematics and Statistics 3, no. 3 (2025): 500–508. https://doi.org/10.58578/mjms.v3i3.5962.

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Let Xn and Xn* be the finite sets {1, 2, 3, ..., n} and {±1, ±2, ±3, ..., ±n} respectively. A map from Xn to Xn is called a transformation on Xn. We call a map a signed transformation if it maps from Xn to Xn*. Let Pn~ be the set of all signed partial transformations on Xn. This set consists of all transformations in Pn~ for which the domain of the transformation is a subset of Xn. The work w(alpha) performed by a transformation alpha is defined as the sum of all distances |i - alpha(i)| for each i in the domain of alpha. In this paper, we characterize all transformations in Pn~ that attain maximum and minimum works, and we deduce formulas for these minimum and maximum values. We further present a range for the values of w(alpha) for all transformations in Pn~.

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17

Froneman, J. D. "Mediatransformasie dek die tafel vir ’n nuwe joernalistiek." Literator 18, no. 3 (1997): 199–220. http://dx.doi.org/10.4102/lit.v18i3.574.

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Media transformation sets the scene for a new journalismSince 1993 the South African media have been going through a period of fundamental transformation. This process has resulted in a phenomenon of black journalists and whites with credentials as anti-apartheid activists, moving into senior editorial positions at the South African Broadcasting Corporation (SABC) as well as at newspapers. This article briefly describes the said transformational steps within the framework of existing media models, inter alia the developmental, social-responsibility and democratic-participatory models. Journalism covering the arts, culture and literature is thereby placed within a broader media context. It is concluded that the dominant media model(s) will determine the kind of journalism we can expect in future.

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Mbah, M. A., Eze C., Pokalas P. Tal, and S. Kasim. "A Graph-Theoretic Characterization of Orbits in the Finite Full Transformation Semigroup." Mikailalsys Journal of Mathematics and Statistics 3, no. 3 (2025): 548–55. https://doi.org/10.58578/mjms.v3i3.6073.

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This paper investigates the orbit structures of elements in the full transformation semigroup TnT_n through the framework of digraph connectivity. Transformations are characterized based on whether their associated functional digraphs are strongly connected, weakly connected, or unilateral. It is shown that strong connectivity corresponds precisely to transformations whose orbits form a single nn-cycle. In contrast, unilateral connectivity arises when orbits constitute directed paths terminating in a unique cycle, and weak connectivity is identified when all elements belong to a single weakly connected component. Furthermore, the paper provides enumeration results, proving that there are exactly (n−1)!(n - 1)! transformations with strongly connected (cyclic) orbits and n!(n−1)n!(n - 1) transformations with unilateral orbit structures. These findings offer new structural and enumerative insights into the full transformation semigroup by analyzing the connectivity patterns of its orbit representations.

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19

MYUNG, Y. S. "N=2 SUPERMODULAR TRANSFORMATION ON SUPERTORUS." International Journal of Modern Physics A 05, no. 15 (1990): 3071–88. http://dx.doi.org/10.1142/s0217751x90001446.

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We discuss N=2, U(1) supermodular transformation on supertorus. For a special case when the U(1) parameter turns off, we obtain the supermodular transformation and we derive the Green function on supertorus. Further, we show that general supermodular transformation cannot be obtained from the Crane and Rabin approach. However, for the case of the U(1) parameter= pure soul, we obtain the general N=2 supermodular transformation.

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Tal, Pokalas P., M. S. Mahmud, M. A. Mbah, and R. U. Ndubuisi. "Maximum and Minimum Works Performed by T˜n." Modern Applied Science 16, no. 2 (2022): 23. http://dx.doi.org/10.5539/mas.v16n2p23.

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Let Xn&nbsp;and X*n&nbsp;be the finite sets {1,2,3,...,n} and {&plusmn;1,&plusmn;2,&plusmn;3,..,&plusmn;n}&nbsp;respectively. A map &alpha;: Xn&rarr;Xn&nbsp;is called a transformation on Xn&nbsp;We call &alpha;&nbsp;a signed transformation if &alpha;: Xn&rarr;X*n&nbsp;Let Tn&nbsp;and&nbsp;T&tilde;n be the sets of full and signed full transformations on Xn&nbsp;respectively. The work, w(&alpha;)&nbsp;performed by a transformation &alpha;&nbsp;is defined as the sum of all the distances |i-i&alpha;|&nbsp;for each i&nbsp;ϵ dom(&alpha;)&nbsp;In this paper, we present a range for the values of w(&alpha;)&nbsp;for all &alpha;&nbsp;ϵ&nbsp;Tn. Further, we characterize elements of T&tilde;n&nbsp;that attain minimum and maximum works and provide formulas for the values of these minimum and maximum.

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Van Niekerk, PI. "God en armoede in die Karoo – ’n Besinning oor ’n teologie van transformasie." STJ | Stellenbosch Theological Journal 1, no. 1 (2015): 321. http://dx.doi.org/10.17570/stj.2015.v1n1.a16.

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<strong>God and poverty in the Karoo – A reflection on a theology of transformation</strong> <br /> The Karoo is an outstretched arid area characterised by poverty and underdevelopment. This article focuses on the poverty of the Karoo people and the effect of their faith in God on social development and transformation. The future of the Karoo is vested in its people and religious communities. Previous research indicated that believers’ image of God had an effect on their attitude towards social development and transformation. A small sample of women in a Karoo town experienced God as loving, but not as a God that inspired people towards transformation. The test for the church lies in her social involvement in the world as its salvation is God’s concern. In Christian humanism the integrity of creation in a world filled with injustice and poverty is emphasised. Churches in the Karoo are encouraged to utilise a theology of transformation that is developmentally driven and inspired by a transforming image of God.

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SCHULZE-HALBERG, AXEL. "DARBOUX TRANSFORMATIONS FOR N-DIMENSIONAL EFFECTIVE MASS SCHRÖDINGER EQUATIONS WITH HYPERSPHERICAL SYMMETRY." International Journal of Modern Physics A 22, no. 19 (2007): 3293–304. http://dx.doi.org/10.1142/s0217751x07036762.

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We construct Darboux transformations of arbitrary order for stationary Schrödinger equations with effective mass that exhibit spherical symmetry in N dimensions (hyperspherical symmetry). The Darboux transformation and the associated transformed Schrödinger equation are obtained in closed form.

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FAN, HONG-YI, and JI-SUO WANG. "ON THE WEYL ORDERING INVARIANCE UNDER GENERAL n-MODE SIMILAR TRANSFORMATIONS." Modern Physics Letters A 20, no. 20 (2005): 1525–32. http://dx.doi.org/10.1142/s0217732305017512.

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We reveal that Weyl ordering of operators is invariant under general n-mode similar transformations. The technique of integration within a Weyl ordered product of operators is employed to prove our statement. Application of this property in obtaining generalized squeezed state via similar transformation is discussed.

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Zhu, Xiao-He, Xin Zhang, Hong-Xing Xin, and Hong Yan. "ChemInform Abstract: Transformation of N-Alkylated Anilines to N-Aryloxamates." ChemInform 45, no. 2 (2013): no. http://dx.doi.org/10.1002/chin.201402070.

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Rahmouni, M'hamed, and Samir Mbarki. "MDA-Based Modeling and Transformation to Generate N-Tiers Web Models." Journal of Software 10, no. 3 (2015): 222–38. http://dx.doi.org/10.17706/jsw.10.3.222-238.

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SASAKURA, NAOKI. "TENSOR MODELS AND HIERARCHY OF n-ARY ALGEBRAS." International Journal of Modern Physics A 26, no. 19 (2011): 3249–58. http://dx.doi.org/10.1142/s0217751x1105381x.

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Tensor models are generalization of matrix models, and are studied as models of quantum gravity. It is shown that the symmetry of the rank-three tensor models is generated by a hierarchy of n-ary algebras starting from the usual commutator, and the 3-ary algebra symmetry reported in the previous paper is just a single sector of the whole structure. The condition for the Leibnitz rules of the n-ary algebras is discussed from the perspective of the invariance of the underlying algebra under the n-ary transformations. It is shown that the n-ary transformations which keep the underlying algebraic structure invariant form closed finite n-ary Lie subalgebras. It is also shown that, in physical settings, the 3-ary transformation practically generates only local infinitesimal symmetry transformations, and the other more nonlocal infinitesimal symmetry transformations of the tensor models are generated by higher n-ary transformations.

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ISHIKAWA, HIROSHI, and MITSUHIRO KATO. "NOTE ON N = 0 STRING AS N = 1 STRING." Modern Physics Letters A 09, no. 08 (1994): 725–28. http://dx.doi.org/10.1142/s0217732394000538.

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A similarity transformation, which brings a particular class of N = 1 strings to those with N = 0, is explicitly constructed. It enables us to give a simple proof for the argument recently proposed by Berkovits and Vafa. The N = 1 BRST operator is turned into the direct sum of the corresponding N = 0 BRST operator and that for an additional topological sector. As a result, the physical spectrum of these N = 1 vacua is shown to be isomorphic to the tensor product of the N = 0 spectrum and the topological sector which consists of only the vacuum. This transformation manifestly keeps the operator algebra.

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Ezawa, Masatoshi, Katsuhiko Moriyama, and Hideo Togo. "ChemInform Abstract: Transformation of N,N-Diisopropylarylmethylamines into N-Isopropylarylmethylamines with Molecular Iodine." ChemInform 47, no. 13 (2016): no. http://dx.doi.org/10.1002/chin.201613033.

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29

YANG, HONG-XIANG, DAO-LIN WANG, and CHANG-SHENG LI. "THE GENERALIZED MULTI-COMPONENT AKNS HIERARCHY AND N-FOLD DARBOUX TRANSFORMATION." Modern Physics Letters B 20, no. 25 (2006): 1575–89. http://dx.doi.org/10.1142/s0217984906011864.

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Starting from a 3×3 spectral problem, by using the Tu scheme, a hierarchy of generalized multi-component AKNS soliton equations are derived. It is shown that each equation in the resulting hierarchy is Liouville integrable. With the help of gauge transformations of the Lax pairs, an N-fold Darboux transformation (DT) with multi-parameters for the spectral problem is set up. For application, the soliton solutions of the first nonlinear soliton equation are explicitly given.

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30

JANASZEK, Michał. "EXTENDED CLARKE TRANSFORMATION FOR n-PHASE SYSTEMS." Proceedings of Electrotechnical Institute 63 (December 15, 2016): 5–26. http://dx.doi.org/10.5604/01.3001.0009.4333.

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The article describes how to convert space vectors written in a stationary multiphase system, consisting of a number of phases where n > 3, to the stationary alfa beta orthogonal coordinate system. The transformation of vectors from a stationary n-phase system to the stationary alfa beta orthogonal coordinate system is defined The inverse transformation of a vector written in the orthogonal coordinate system to a stationary n-phase system is also defined. The application of the extended Clarke transformation allows control calculations to be performed in both stationary alfa beta or rotating dq orthogonal coordinate systems. This gives the possibility of performing different control strategies. It has a practical application for drive systems with five-phase, six-phase or dual three-phase motors.

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31

Grimm, Nancy B., Richard W. Sheibley, Chelsea L. Crenshaw, Clifford N. Dahm, W. John Roach, and Lydia H. Zeglin. "N retention and transformation in urban streams." Journal of the North American Benthological Society 24, no. 3 (2005): 626–42. http://dx.doi.org/10.1899/04-027.1.

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32

Muir, Jerry R. "Linear Fractional Transformation Methods in $ {\shadC}^n $." Complex Variables, Theory and Application: An International Journal 48, no. 1 (2003): 69–81. http://dx.doi.org/10.1080/0278107021000031138.

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33

Azumaya, Isao, Kentaro Yamaguchi, Iwao Okamoto, Hiroyuki Kagechika, and Koichi Shudo. "Total asymmetric transformation of an N-methylbenzamide." Journal of the American Chemical Society 117, no. 35 (1995): 9083–84. http://dx.doi.org/10.1021/ja00140a032.

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34

Dubinin, V. N. "Transformation of condensers in n-dimensional space." Journal of Mathematical Sciences 70, no. 6 (1994): 2085–96. http://dx.doi.org/10.1007/bf02111326.

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35

Myung, Y. S. "N=2twisted supermodular transformation on a supertorus." Physical Review D 38, no. 10 (1988): 3139–45. http://dx.doi.org/10.1103/physrevd.38.3139.

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36

Černošek, Zdeněk, Jana Holubová, and Eva Černošková. "Allotropic transformation of Se8 to Se n." Journal of Thermal Analysis and Calorimetry 103, no. 2 (2010): 429–33. http://dx.doi.org/10.1007/s10973-010-0844-3.

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37

Kachalla, Aliyu, and Babagana A. Madu. "Expressing Partial Order-Preserving Transformations as Products of Nilpotents." International Journal of Development Mathematics (IJDM) 1, no. 3 (2024): 112–25. http://dx.doi.org/10.62054/ijdm/0103.08.

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Let S be a semigroup with zero, then an element a∈S is called nilpotent, if there exists a positive integer n such that . In the partial transformation semigroup on , where is a non-empty set, denoted by , the empty map is the zero of . Further, nilpotency is a structural property of fundamental importance which arises in many situations, for instance in linear algebra, we have nilpotent matrices and much more in other branches of mathematics. In this study, we will investigate, some elements of semigroups of partial one-to-one order-preserving transformations (denoted by ) and partial order-preserving transformations (denoted by ), and some basic properties of nilpotent transformations. We have studied certain properties of nilpotent elements in , symmetric inverse semigroup, where is finite and infinite, certain properties of nilpotent elements in , descriptions of the elements of 〈N〉, where N is the set of nilpotents of and we used the same letter N to denote that of , and used them to establish the following results, in this paper (that is, we have used the knowledge that we have acquired to establish the following results): - a partial ono-to-one order-preserving transformation , has from 1 to fixed, and there is an upper jump of length two(2) between and , and lower jumps of length one(1) and one(1), immediately after , can be expressed as a product of three nilpotents. – a partial one-to-one order-preserving transformation , has from 1 to fixed, and there is an upper jump of length three (3) between and and lower jumps of length two (2) and one (1), immediately after , can be expressed as a product of fewer than three nilpotents. – a partial order-preserving transformation , has from 1 to fixed, but belongs to , and there is an upper jump of length two(2) between and , and lower jumps of length two(2) and one(1), immediately after , cannot be expressed as a product of fewer than three nilpotents. – a partial order-preserving transformation , has from 1 to fixed, but belongs to , and there is an upper jump of length three (3) between and , and lower jumps of length three (3) and one (1), immediately after n-5, can be expressed as a product of fewer than three nilpotents. – a transformation , partial transformation semigroup, is not nilpotent if and only if the graph of the transformation has a loop, and - a transformation , partial one-to-one transformation semigroup, which has a nilpotent path and a permutation part is not nilpotent

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38

ZHA, XIN-WEI, and HAI-YANG SONG. "MULTI-SCHEME FOR TELEPORTING AN UNKNOWN N-PARTICLE STATE." Modern Physics Letters B 23, no. 20n21 (2009): 2463–69. http://dx.doi.org/10.1142/s0217984909020631.

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By a transformation operator, we find that the transformation operator is not related to the unknown N-particle state. Here, we propose a multi-scheme for the teleportation of an arbitrary and unknown N-particle state by using the method of transformation operator. The proper transformation operator depends on the quantum channel and the measurement basis. The theoretical explanations of some quantum channels are given by transformation operators. Furthermore, we give the analysis for teleporting an arbitrary and unknown N-particle state.

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39

Liu, Jun, Zhanhui Yang, Minfang Zheng, Hongfei Wu, Ning Chen, and Jiaxi Xu. "Cobalt-Catalyzed Cycloisomerization of N,N-Diallylanilines." Synthesis 51, no. 17 (2019): 3320–26. http://dx.doi.org/10.1055/s-0037-1611832.

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Cobalt catalysts bearing 2-imino-1,10-phenanthroline ligands are quite efficient bench-stable catalysts for the oligomerization of ethylenes. Herein, their further application was developed in the catalytic transformation of N,N-diallylanilines to pyrrolidines through a cycloisomerization process. In this protocol, chlorobenzene is a vital additive to promote reaction efficiency.

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40

García-Ardila, Juan Carlos, and Francisco Marcellán. "Spectral Transformations and Associated Linear Functionals of the First Kind." Axioms 10, no. 2 (2021): 107. http://dx.doi.org/10.3390/axioms10020107.

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Given a quasi-definite linear functional u in the linear space of polynomials with complex coefficients, let us consider the corresponding sequence of monic orthogonal polynomials (SMOP in short) (Pn)n≥0. For a canonical Christoffel transformation u˜=(x−c)u with SMOP (P˜n)n≥0, we are interested to study the relation between u˜ and u(1)˜, where u(1) is the linear functional for the associated orthogonal polynomials of the first kind (Pn(1))n≥0, and u(1)˜=(x−c)u(1) is its Christoffel transformation. This problem is also studied for canonical Geronimus transformations.

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41

Ayık, Hayrullah, and Leyla Bugay. "Generating Sets of Finite Transformation SemigroupsPK(n, r) andK(n, r)." Communications in Algebra 43, no. 2 (2014): 412–22. http://dx.doi.org/10.1080/00927872.2013.847947.

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42

Ahmad, Waseem, and Poonam Negi. "N,N-Dimethylaniline and Zno nanoparticles mediated photochemical transformation of metronidazole." Current Chemistry Letters 12, no. 4 (2023): 733–38. http://dx.doi.org/10.5267/j.ccl.2023.5.002.

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The present study evaluates the photochemical behavior of a nitroimidazole derivative drug metronidazole in presence of N,N dimethylaniline and ZnO nanoparticles. The photochemical behavior was examined in a photochemical reactor by irradiating with a light of 254 and 310 nm. After completion of reaction one photoproduct was obtained. The photoproduct was isolated by using column chromatography and the structure of the isolated photoproduct was established by different spectroscopic techniques. This study provides the probable mechanism of the photochemical transformation of metronidazole in presence of an electron donor and in presence of ZnO NPs. During the photochemical transformation the nitro group of metronidazole was reduced in the amine group by a series of electron transfer processes. The ZnO nanoparticles are very efficient catalysts, and they degrade almost 90% metronidazole in the 60 min of UV irradiation. The photocatalytic mechanism of the ZnO nanoparticles is also discussed.

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43

Chen, Y., H. Feng, H. Zhang, and X. Li. "High expression of DNA methyltransferase 1 in Kazakh esophageal epithelial cells may promote malignant transformation induced by N-methyl-N′-nitro-N-nitrosoguanidine." Human & Experimental Toxicology 38, no. 9 (2019): 1060–68. http://dx.doi.org/10.1177/0960327119851254.

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We examined the role of DNA methyltransferase 1 (DNMT1) in N-methyl- N′-nitro- N-nitrosoguanidine (MNNG)–induced malignant transformation of Kazakh esophageal epithelial (EE) cells to better understand the pathogenesis of esophageal cancer (EC). The 3-(4,5)-dimethylthiahiazo (-z-y1)-3,5-di- phenytetrazoliumromide method and colony formation assays were performed to determine the MNNG dose for malignant transformation. Colony formation assays showed the effects of different frequencies of MNNG exposure and different cell passages on malignant transformation. A nude mouse tumor experiment indicated the malignancy of Kazakh EE cells expressing high DNMT1 levels and of transformed cells. The result shows that when the dose, frequency, and time of MNNG exposure increased, cell morphology became irregular, cell-contact suppression disappeared, and cell tolerance and growth rate increased. Colony formation occurred in the Kazakh-DNMT1 group after 14 transfections and 27 passages. Significant differences in DNMT1 mRNA and protein levels were observed in different types of cells and tumor tissues ( F = 140.644, p < 0.001; F = 105.545, p < 0.001). Our study demonstrated that DNMT1 could promote MNNG to induce malignant transformation of EE cells, and this study will help understand EC better in order to develop appropriate treatment strategies.

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44

Nakashige, Mika L., Robert S. Lewis, and William J. Chain. "Transformation of N , N -dimethylaniline- N -oxides into N -methylindolines by a tandem Polonovski–Mannich reaction." Tetrahedron Letters 56, no. 23 (2015): 3531–33. http://dx.doi.org/10.1016/j.tetlet.2015.01.003.

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45

Rao, G. L. N., and L. Debnath. "A generalized Meijer transformation." International Journal of Mathematics and Mathematical Sciences 8, no. 2 (1985): 359–65. http://dx.doi.org/10.1155/s0161171285000370.

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In a series of papers [1-6], Kratzel studies a generalized version of the classical Meijer transformation with the Kernel function(st)νη(q,ν+1; (st)q). This transformation is referred to as GM transformation which reduces to the classical Meijer transform whenq=1. He also discussed a second generalization of the Meijer transform involving the Kernel functionλν(n)(x)which reduces to the Meijer function whenn=2and the Laplace transform whenn=1. This is called the Meijer-Laplace (or ML) transformation. This paper is concerned with a study of both GM and ML transforms in the distributional sense. Several properties of these transformations including inversion, uniqueness, and analyticity are discussed in some detail.

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46

Dixit, Atul, and Bibekananda Maji. "Generalized Lambert series and arithmetic nature of odd zeta values." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 150, no. 2 (2019): 741–69. http://dx.doi.org/10.1017/prm.2018.146.

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AbstractIt is pointed out that the generalized Lambert series $\sum\nolimits_{n = 1}^\infty {[(n^{N-2h})/(e^{n^Nx}-1)]} $ studied by Kanemitsu, Tanigawa and Yoshimoto can be found on page 332 of Ramanujan's Lost Notebook in a slightly more general form. We extend an important transformation of this series obtained by Kanemitsu, Tanigawa and Yoshimoto by removing restrictions on the parameters N and h that they impose. From our extension we deduce a beautiful new generalization of Ramanujan's famous formula for odd zeta values which, for N odd and m > 0, gives a relation between ζ(2m + 1) and ζ(2Nm + 1). A result complementary to the aforementioned generalization is obtained for any even N and m ∈ ℤ. It generalizes a transformation of Wigert and can be regarded as a formula for ζ(2m + 1 − 1/N). Applications of these transformations include a generalization of the transformation for the logarithm of Dedekind eta-function η(z), Zudilin- and Rivoal-type results on transcendence of certain values, and a transcendence criterion for Euler's constant γ.

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47

Basak, Anup, and Valery I. Levitas. "An exact formulation for exponential-logarithmic transformation stretches in a multiphase phase field approach to martensitic transformations." Mathematics and Mechanics of Solids 25, no. 6 (2020): 1219–46. http://dx.doi.org/10.1177/1081286520905352.

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A general theoretical and computational procedure for dealing with an exponential-logarithmic kinematic model for transformation stretch tensor in a multiphase phase field approach to stress- and temperature-induced martensitic transformations with N martensitic variants is developed for transformations between all possible crystal lattices. This kinematic model, where the natural logarithm of transformation stretch tensor is a linear combination of natural logarithm of the Bain tensors, yields isochoric variant–variant transformations for the entire transformation path. Such a condition is plausible and cannot be satisfied by the widely used kinematic model where the transformation stretch tensor is linear in Bain tensors. Earlier general multiphase phase field studies can handle commutative Bain tensors only. In the present treatment, the exact expressions for the first and second derivatives of the transformation stretch tensor with respect to the order parameters are obtained. Using these relations, the transformation work for austenite ↔ martensite and variant ↔ variant transformations is analyzed and the thermodynamic instability criteria for all homogeneous phases are expressed explicitly. The finite element procedure with an emphasis on the derivation of the tangent matrix for the phase field equations, which involves second derivatives of the transformation deformation gradients with respect to the order parameters, is developed. Change in anisotropic elastic properties during austenite–martensitic variants and variant–variant transformations is taken into account. The numerical results exhibiting twinned microstructures for cubic to orthorhombic and cubic to monoclinic-I transformations are presented.

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48

Huang, Xueru, Xia Zhu-Barker, William R. Horwath, et al. "Effect of iron oxide on nitrification in two agricultural soils with different pH." Biogeosciences 13, no. 19 (2016): 5609–17. http://dx.doi.org/10.5194/bg-13-5609-2016.

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Abstract. Iron (Fe) affects soil nitrogen (N) cycling processes both in anoxic and oxic environments. The role of Fe in soil N transformations including nitrification, mineralization, and immobilization, is influenced by redox activity, which is regulated by soil pH. The effect of Fe minerals, particularly oxides, on soil N transformation processes depends on soil pH, with Fe oxide often stimulating nitrification activity in the soil with low pH. We conducted lab incubations to investigate the effect of Fe oxide on N transformation rates in two subtropical agricultural soils with low pH (pH 5.1) and high pH (pH 7.8). 15N-labeled ammonium and nitrate were used separately to determine N transformation rates combined with Fe oxide (ferrihydrite) addition. Iron oxide stimulated net nitrification in low-pH soil (pH 5.1), while the opposite occurred in high-pH soil (pH 7.8). Compared to the control, Fe oxide decreased microbial immobilization of inorganic N by 50 % in low-pH soil but increased it by 45 % in high-pH soil. A likely explanation for the effects at low pH is that Fe oxide increased NH3-N availability by stimulating N mineralization and inhibiting N immobilization. These results indicate that Fe oxide plays an important role in soil N transformation processes and the magnitude of the effect of Fe oxide is dependent significantly on soil pH.

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49

Rahe, M. "On a Class of Generalized Baker's Transformations." Canadian Journal of Mathematics 45, no. 3 (1993): 638–49. http://dx.doi.org/10.4153/cjm-1993-035-0.

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AbstractLet f define a baker's transformation (Tf, Pf). We find necessary and sufficient conditions on f for (Tf, Pf) to be an N(ω)-step random Markov chain. Using this result, we give a simplified proof of Bose's results on Holder continuous baker's transformations where f is bounded away from zero and one. We extend Bose's results to show that, for the class of baker's transformations which are random Markov chains where TV has finite expectation, a sufficient condition for weak Bernoullicity is that the Lebesgue measure λ{x f(x) = 0 or f(x) = 1} = 0. We also examine random Markov chains satisfying a strictly weaker condition, those for which the differences between the entropy of the process and the conditional entropy given the past to time n form a summable sequence; and we show that a similar result holds. A condition is given on/ which is weaker than Holder continuity, but which implies that the entropy difference sequence is summable. Finally, a particular baker's transformation is exhibited as an easy example of a weakly Bernoulli transformation on which the supremum of the measure of atoms indexed by n-strings decays only as the reciprocal of n.

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50

Hong, Wan Pyo, Van Hieu Tran, and Hee-Kwon Kim. "Practical one-pot amidation of N-Alloc-, N-Boc-, and N-Cbz protected amines under mild conditions." RSC Advances 11, no. 26 (2021): 15890–95. http://dx.doi.org/10.1039/d1ra02242c.

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One-pot efficient transformation of N-Alloc-, N-Boc-, and N-Cbz protected amines to amides was achieved by using 2-chloropyridine and trifluoromethanesulfonyl anhydride as well as Grignard reagent and MgCl<sub>2</sub>.

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