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Journal articles on the topic 'Constant order'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Stevenson, Deborah. "Total Constant Order (review)." Bulletin of the Center for Children's Books 61, no. 6 (2008): 243. http://dx.doi.org/10.1353/bcc.2008.0128.

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2

Ikechukwu, I. Udema. "Derivation of steady-state first-order rate constant equations for enzyme-substrate complex dissociation, as well as zero-order rate constant equations in relation to background assumptions." GSC Biological and Pharmaceutical Sciences 21, no. 3 (2022): 175–89. https://doi.org/10.5281/zenodo.7654125.

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The maximum velocity (<em>V</em><sub>max</sub>) of catalysis and the substrate concentration ([<em>S</em><sub>T</sub>]) at half the <em>V</em><sub>max</sub>, the <em>K</em><sub>M</sub><em>,</em> are regarded as steady-state (SS) parameters even though they are the outcomes of zero-order kinetics (ZOK). The research was aimed at disputing such a claim with the following objectives: To: 1) carry out an overview of issues pertaining to the validity of assumptions; 2) derive the needed steady-state (SS) equations distinct from Michaelian equations that can be fitted to both experime

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3

B S, Manjula. "Study of Methods for Solving Second-Order ODEs with Constant Coefficient." International Journal of Science and Research (IJSR) 10, no. 7 (2021): 1550–55. http://dx.doi.org/10.21275/es24928084917.

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4

Hanchuk, O. "THE SOCIAL CONSTANT OF LEGAL ORDER." “International Humanitarian University Herald. Jurisprudence” 1, no. 41 (2019): 9–11. http://dx.doi.org/10.32841/2307-1745.2019.41-1.2.

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5

Kenig, C. E., A. Ruiz, and C. D. Sogge. "second order constant coefficient differential operators." Duke Mathematical Journal 55, no. 2 (1987): 329–47. http://dx.doi.org/10.1215/s0012-7094-87-05518-9.

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6

Cullen, John M., and Michael C. Zerner. "Fourth-order constant denominator perturbation theory." International Journal of Quantum Chemistry 22, S16 (2009): 301–17. http://dx.doi.org/10.1002/qua.560220832.

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7

Hussein, Sakr Seleem. "Stability constants and thermodynamics of complexation of Schiff base hydrazones derived from 3-hydrazino-6-phenylpyridazine and acetophenone derivatives." Journal of Indian Chemical Society Vol. 80, Jun 2003 (2003): 622–25. https://doi.org/10.5281/zenodo.5839736.

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A in Shams University, Faculty of Education, Chemistry Department, Roxy, Cairo, Egypt <em>Manuscript received 8 March 2002, revised 20 January 2003. accepted 31 January 2003</em> The acid-base equilibria and metel ion chelating tendency of 3-(acetophenonehydrazone)-6-phenylpyridazine (AHP) and its <em>para</em>-substituted derivatives (XAHP); X= NH<sub>2</sub>, Cl, OH and OMe have been investigated potentiometrically in 75% (v/v) dioxane-water at 298 K and 0.1 <em>M</em> KNO<sub>3.</sub> For the same metal ion, the order of stability decreases in the sequence: NH<

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8

Okyere, Eric, Francis Oduro, Samuel Amponsah, Isaac Dontwi, and Nana Frempong. "Fractional Order SIR Model with Constant Population." British Journal of Mathematics & Computer Science 14, no. 2 (2016): 1–12. http://dx.doi.org/10.9734/bjmcs/2016/23017.

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9

Poddar, Debrup. "Universal Constant of Division of Order 1." International Journal of Mathematics Trends and Technology 58, no. 4 (2018): 240–52. http://dx.doi.org/10.14445/22315373/ijmtt-v58p534.

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10

Cveticanin, L. "Pure odd-order oscillators with constant excitation." Journal of Sound and Vibration 330, no. 5 (2011): 976–86. http://dx.doi.org/10.1016/j.jsv.2010.09.011.

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11

Koton, Jaroslav, David Kubanek, Norbert Herencsar, Jan Dvorak, and Costas Psychalinos. "Designing constant phase elements of complement order." Analog Integrated Circuits and Signal Processing 97, no. 1 (2018): 107–14. http://dx.doi.org/10.1007/s10470-018-1257-7.

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12

Del Giudice, E., R. Mańka, M. Milani, and G. Vitiello. "Non-constant order parameter and vacuum evolution." Physics Letters B 206, no. 4 (1988): 661–64. http://dx.doi.org/10.1016/0370-2693(88)90714-9.

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13

Leena, Gandhi, and S. Sekhon B. "Complexation equilibria of sulfisoxazole with proton and some metal ions in aqueous-organic solvents." Journal of Indian Chemical Society Vol. 83, Sep 2011 (2006): 868–70. https://doi.org/10.5281/zenodo.5829759.

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Department of Biochemistry and Chemistry, Punjab Agricultural University, Ludhiana-141 004, Punjab, India <em>E-mail :</em> sekhon224@yahoo.com <em>Manuscript received 4 January 2006, revised 4 May 2006, accepted 6 June 2006</em> The proton-ligand stability constant (log K\(_I^{II}\) i.e. p<em>K</em><sub>a</sub>) of sulfisoxazole in 50 : 50 (% v/v) aqueous ethanol and 50 : 50 (% v/v) aqueous-dioxane mixtures at different ionic strengths (0.05, 0.10 and 0.15 mol dm<sup>-3</sup>) and its stability constanlq with some metal ions were determined in 50 : 50 (% v/v) aqueous ethanol and aqueous-dioxa

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14

Susarla, Sridhar, Shigeki Masunaga, and Yoshitaka Yonezawa. "Kinetics of halogen substituted aniline transformation in anaerobic estuarine sediment." Water Science and Technology 34, no. 7-8 (1996): 37–43. http://dx.doi.org/10.2166/wst.1996.0599.

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The kinetics of halogen substituted anilines were examined in estuarine sediment collected from Tsurumi river, Japan. Aniline was substituted with F, Cl, Br and I groups at meta or para positions on the aromatic ring. The transformation of all the compounds followed a first-order reaction kinetics with rate constants for the disappearance ranging between 0.002 to 0.006 day−1 or half lives between 108 and 669 days. Results indicated that para substituted anilines transformed two to four times faster compared to meta substituted ones. The rate of transformation followed the order: I &gt; Br

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15

Ikechukwu I. Udema. "Derivation of steady-state first-order rate constant equations for enzyme-substrate complex dissociation, as well as zero-order rate constant equations in relation to background assumptions." GSC Biological and Pharmaceutical Sciences 21, no. 3 (2022): 175–89. http://dx.doi.org/10.30574/gscbps.2022.21.3.0482.

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The maximum velocity (Vmax) of catalysis and the substrate concentration ([ST]) at half the Vmax, the KM, are regarded as steady-state (SS) parameters even though they are the outcomes of zero-order kinetics (ZOK). The research was aimed at disputing such a claim with the following objectives: To: 1) carry out an overview of issues pertaining to the validity of assumptions; 2) derive the needed steady-state (SS) equations distinct from Michaelian equations that can be fitted to both experimental variables and kinetic parameters; 3) calculate the SS first-order rate constant for the dissociatio

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16

Anderson, Douglas R., and Masakazu Onitsuka. "Hyers-Ulam stability of first-order homogeneous linear dynamic equations on time scales." Demonstratio Mathematica 51, no. 1 (2018): 198–210. http://dx.doi.org/10.1515/dema-2018-0018.

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Abstract We establish theHyers-Ulam stability (HUS) of certain first-order linear constant coefficient dynamic equations on time scales, which include the continuous (step size zero) and the discrete (step size constant and nonzero) dynamic equations as important special cases. In particular, for certain parameter values in relation to the graininess of the time scale, we find the minimum HUS constants. A few nontrivial examples are provided. Moreover, an application to a perturbed linear dynamic equation is also included.

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17

Koledin, V. V. "Решение линейного неоднородного дифференциального уравнения второго порядка с постоянными коэффициентами методом понижения порядка". Математический вестник Вятского государственного университета, № 1(28) (30 листопада 2023): 4–6. http://dx.doi.org/10.25730/vsu.0536.23.001.

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Solving a linear inhomogeneous second-order differential equation with constant coefficients is traditionally a difficult task for students for a number of reasons. The article proposes a method for lowering the order of differential equations of this type, reducing the problem to differential equations of the first order, the methods of solving which are well known. Решение линейного неоднородного дифференциального уравнения второго порядка с постоянными коэффициентами традиционно является по ряду причин непростой задачей для студентов. В статье предлагается метод понижения порядка дифференци

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18

Dietrich, Clarissa F., Peter J. Collings, Thomas Sottmann, Per Rudquist, and Frank Giesselmann. "Extremely small twist elastic constants in lyotropic nematic liquid crystals." Proceedings of the National Academy of Sciences 117, no. 44 (2020): 27238–44. http://dx.doi.org/10.1073/pnas.1922275117.

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Recent measurements of the elastic constants in lyotropic chromonic liquid crystals (LCLCs) have revealed an anomalously small twist elastic constant compared to the splay and bend constants. Interestingly, measurements of the elastic constants in the micellar lyotropic liquid crystals (LLCs) that are formed by surfactants, by far the most ubiquitous and studied class of LLCs, are extremely rare and report only the ratios of elastic constants and do not include the twist elastic constant. By means of light scattering, this study presents absolute values of the elastic constants and their corre

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19

Andreani, R., C. E. Echagüe, and M. L. Schuverdt. "Constant-Rank Condition and Second-Order Constraint Qualification." Journal of Optimization Theory and Applications 146, no. 2 (2010): 255–66. http://dx.doi.org/10.1007/s10957-010-9671-8.

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20

Hutter, Michael, and Michael Tunstall. "Constant-time higher-order Boolean-to-arithmetic masking." Journal of Cryptographic Engineering 9, no. 2 (2018): 173–84. http://dx.doi.org/10.1007/s13389-018-0191-z.

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21

Fitting, Melvin, and Felipe Salvatore. "First-order justification logic with constant domain semantics." Journal of Logic and Computation 30, no. 1 (2020): 193–216. http://dx.doi.org/10.1093/logcom/exaa008.

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Abstract Justification logic is a term used to identify a relatively new family of modal-like logics. There is an established literature about propositional justification logic, but incursions on the first-order case are scarce. In this paper we present a constant domain semantics for the first-order logic of proofs with the Barcan Formula (FOLPb); then we prove Soundness and Completeness Theorems. A monotonic semantics for a version of this logic without the Barcan Formula is already in the literature, but constant domains require substantial new machinery, which may prove useful in other con

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22

COLARES, ANTONIO GERVASIO, and FERNANDO ENRIQUE ECHAIZ-ESPINOZA. "CONSTANT SCALAR CURVATURE HYPERSURFACES WITH SECOND-ORDER UMBILICITY." Glasgow Mathematical Journal 51, no. 2 (2009): 219–41. http://dx.doi.org/10.1017/s0017089508004643.

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AbstractWe extend the concept of umbilicity to higher order umbilicity in Riemannian manifolds saying that an isometric immersion is k-umbilical when APk−1(A) is a multiple of the identity, where Pk(A) is the kth Newton polynomial in the second fundamental form A with P0(A) being the identity. Thus, for k=1, one-umbilical coincides with umbilical. We determine the principal curvatures of the two-umbilical isometric immersions in terms of the mean curvatures. We give a description of the two-umbilical isometric immersions in space forms which includes the product of spheres $S^{k}(\frac{1}{\sqr

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23

Battista, Gianmarco, Paolo Chiariotti, Alfredo Cigada, and Paolo Castellini. "Order calibrated functional beamforming for constant mainlobe width." Applied Acoustics 202 (January 2023): 109172. http://dx.doi.org/10.1016/j.apacoust.2022.109172.

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24

Geum, Young Hee. "Derivation of a Numerical Method with Free Second-order Derivatives." International Journal of Pure Mathematics 9 (March 12, 2022): 7–9. http://dx.doi.org/10.46300/91019.2022.9.2.

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We have proposed the second-derivative-free numerical method and determined the control parameters to converge cubically. In addition, we have developed the order of convergence and the asymptotic error constant. Applying this iterative scheme to a variety of examples, numerical results have shown a successful asymptotic error constants with cubic convergence.

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25

Zhou, Peng, Kai Liu, Menggang Sheng, and Chao Zhou. "Parameter determination and analysis of first-order gaussian-markov error model based on smartphone barometer." Journal of Physics: Conference Series 2849, no. 1 (2024): 012007. http://dx.doi.org/10.1088/1742-6596/2849/1/012007.

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Abstract The measurement error of the barometer equipped in smartphones is commonly modeled as a first-order Gaussian-Markov (GM) model, with the time constant and noise variance being two important parameters for establishing the model. In this paper, the time constant and variance of the barometer sensor in smartphones were determined by the Discrete Wavelet Transform (DWT) and the autocorrelation function, and the time constant is applied to the barometer calibration to verify the rationality of the parameters. The barometric altimeter calibration utilizes GPS altitude information as an aid

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26

Papaschinopoulos, Garyfalos, and John Schinas. "Some results concerning second and third order neutral delay differential equations with piecewise constant argument." Czechoslovak Mathematical Journal 44, no. 3 (1994): 501–12. http://dx.doi.org/10.21136/cmj.1994.128472.

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27

Ashyralyev, Allaberen, and Ibrahim Mohammed Ibrahım. "High-Order, Accurate Finite Difference Schemes for Fourth-Order Differential Equations." Axioms 13, no. 2 (2024): 90. http://dx.doi.org/10.3390/axioms13020090.

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This article is devoted to the study of high-order, accurate difference schemes’ numerical solutions of local and non-local problems for ordinary differential equations of the fourth order. Local and non-local problems for ordinary differential equations with constant coefficients can be solved by classical integral transform methods. However, these classical methods can be used simply in the case when the differential equation has constant coefficients. We study fourth-order differential equations with dependent coefficients and their corresponding boundary value problems. Novel compact numer

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28

Baias, Alina Ramona, and Dorian Popa. "Best Constant in Ulam Stability for the Third Order Linear Differential Operator with Constant Coefficients." Axioms 12, no. 10 (2023): 922. http://dx.doi.org/10.3390/axioms12100922.

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The authors of the present paper previously proved the Ulam stability for the n-th-order linear differential operator with constant coefficients. They obtained its best Ulam constant for the case of distinct roots of the characteristic equation. However, a complete answer to the problem of the best Ulam constant was later obtained only for the second-order linear differential operator. This paper deals with the Ulam stability of the third-order linear differential operator with constant coefficients acting in a Banach space. The paper’s main purpose is to obtain the best Ulam constant of this

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29

Salmon, Fabien. "Three Analytical Relations Giving The Speed of Light, The Planck Constant and The Fine-Structure Constant." Journal of Physical Science 34, no. 1 (2023): 21–26. http://dx.doi.org/10.21315/jps2023.34.1.2.

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The fundamental physical constants are at the root of physics theories, but no theoretical framework provides their experimental values. In addition, they are assumed to be independent of each other. Here, we present two valuable dimensionless numbers based on vacuum properties and fundamental constants. The value of these dimensionless numbers provokes questioning, since they are of order 101. In particular, they mean that it is possible to build a velocity and a parameter homogeneous to the Planck constant of the same order as the speed of light and the Planck constant respectively, only bas

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30

T., A. Patekar, and Abdul Rahim Shaikh. "Coordination studies of Ritodrine Hydrochloride with selected transition Metal ions." International Journal of Current Science Research and Review 07, no. 12 (2025): 9424–26. https://doi.org/10.5281/zenodo.14584076.

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Abstract : The stability constants of binary complexes of metal ions   Cu²⁺, Ni²⁺, Co²⁺, Cr³⁺ and Zn<sup>2+</sup> with Ritodrine Hydrochloride ligand were studied in aqueous media at 28<sup>0</sup> C temperature. The Protonation constant and metal ligand stability constants were determined by Calvin Bjerrum titrations in combination with Microsoft excel software programme. 1 N NaNO<sub>3 </sub>used to maintain ionic strength. Metal ligand ratio kept was 1: 1. The Protonation constant and metal ligand stability constants calculated by half integral a

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31

Котов, Л. Н., П. А. Северин, В. С. Власов, Д. С. Безносиков, Е. Л. Котова та В. Г. Шавров. "Магнитные и упругие колебания в кристаллах марганец-цинковой шпинели в зависимости от константы анизотропии". Физика твердого тела 60, № 6 (2018): 1142. http://dx.doi.org/10.21883/ftt.2018.06.45989.25m.

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AbstractThe amplitudes of magnetic and elastic vibrations for Mn_0.61Zn_0.35Fe_2.04O_4 spinel crystalline slab are calculated by solving the equations describing the magnetic and elastic dynamics. The anisotropy constants, magnetization, second-order elastic constants and magnetoelastic coupling constants for a studied crystal are expressed as the functions of temperature. The magnetization vector and elastic shear components are found as the functions of the first magnetic anisotropy constant at different values of an external constant magnetic field greater than a saturation field. The proce

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32

Himeur, Mohammed, Hamza Guenfoud, and Mohamed Guenfoud. "A higher order triangular plate finite element using Airy functions." Advances in Mechanical Engineering 12, no. 11 (2020): 168781402097190. http://dx.doi.org/10.1177/1687814020971906.

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The present paper describes the formulation of a new moderately thick plate bending triangular finite element based on Mindlin–Reissner plate theory. It is called a Great Triangular Moderately Thick Plate Finite Element, or GTMTPFE. The formulation is based on the strain approach, on solution of Airy’s function and on the analytical integration in the construction of the stiffness matrix. The strengths associated with this approach consist of: • automatic verification of equilibrium conditions and kinematic compatibility conditions, • the enrichment of the degrees of the interpolation polynomi

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33

Paventi, Martino. "Particular solution for any consecutive second-order reaction." Canadian Journal of Chemistry 65, no. 8 (1987): 1987–94. http://dx.doi.org/10.1139/v87-329.

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Arguments are presented against the accepted notion that multiple rate constants may be obtained from observed singular or pooled kinetic runs. For any competitive consecutive second-order reaction, the particular solution satisfying the total differential equation, derived from (n + 1) simultaneous differential equations, is S = (aA0 − S0){(aA0/S0)[exp (aA0 − S0)kt] − 1}−1, where S is the concentration of reactant common for all the steps, A is the concentration of the substrate with a reactive sites, A0 and S0 are the concentration of reactants at zero time, k is the observed rate constant,

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34

Căruțașu, Vasile. "Determining a Particular Solution for the Systems of Linear Differential Equations with Constant Coefficients." International conference KNOWLEDGE-BASED ORGANIZATION 23, no. 3 (2017): 30–36. http://dx.doi.org/10.1515/kbo-2017-0152.

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Abstract As with the n-th order linear differential equations with constant coefficients, the problem to be solved is related to determining a particular solution, and then, using the general solution of the attached homogeneous system of linear differential equations with constant coefficients, to write the general solution of the initially given system. For homogeneous systems of linear differential equations with constant coefficients, the determination of the general solution is the method of eliminating or reducing which make the system a linear differential equation of the same order as

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35

Dungey, Nick. "Sharp constants in higher-order heat kernel bounds." Bulletin of the Australian Mathematical Society 61, no. 2 (2000): 189–200. http://dx.doi.org/10.1017/s000497270002219x.

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We consider a space X of polynomial type and a self-adjoint operator on L2(X) which is assumed to have a heat kernel satisfying second-order Gaussian bounds. We prove that any power of the operator has a heat kernel satisfying Gaussian bounds with a precise constant in the Gaussian. This constant was previously identified by Barbatis and Davies in the case of powers of the Laplace operator on RN. In this case we prove slightly sharper bounds and show that the above-mentioned constant is optimal.

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36

Afremov, Leonid L., Sergey Anisimov, and Tamara Agapova. "Effective Anisotropy Constant of Bilayer Film." Advanced Materials Research 887-888 (February 2014): 779–82. http://dx.doi.org/10.4028/www.scientific.net/amr.887-888.779.

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A reasonable composition of different kinds of magnetic anisotropy of bilayer film has been carried out. The criterium of magnetic uniaxiality of bilayer film contained the first-order and the second-order crystallographic anisotropy has been defined. It has been demonstrated that the effective constants of the first-order and the second-order magnetic anisotropy of bilayer film has a non-linear dependence on the corresponding constants of crystallographic anisotropy of the layers, angles between them and constants of interlayer exchange interaction.

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37

GURZADYAN, V. G., and SHE-SHENG XUE. "ON THE ESTIMATION OF THE CURRENT VALUE OF THE COSMOLOGICAL CONSTANT." Modern Physics Letters A 18, no. 08 (2003): 561–68. http://dx.doi.org/10.1142/s0217732303008405.

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We advance the viewpoint that, only relevant modes of the vacuum fluctuations, namely, with wavelengths conditioned by the size, homogeneity, geometry and topology of the Universe, do contribute to the cosmological constant. A formula is derived which relates the cosmological constant with the size of the Universe and the three fundamental constants: the velocity of light, Planck and Newton gravitational constants. Then the current value of the cosmological constant remarkably agrees with the value indicated by distant supernovae observations, i.e. of the order of the critical density. Thus th

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38

Petrzela, Jiri. "Fractional-Order Chaotic Memory with Wideband Constant Phase Elements." Entropy 22, no. 4 (2020): 422. http://dx.doi.org/10.3390/e22040422.

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This paper provides readers with three partial results that are mutually connected. Firstly, the gallery of the so-called constant phase elements (CPE) dedicated for the wideband applications is presented. CPEs are calculated for 9° (decimal orders) and 10° phase steps including ¼, ½, and ¾ orders, which are the most used mathematical orders between zero and one in practice. For each phase shift, all necessary numerical values to design fully passive RC ladder two-terminal circuits are provided. Individual CPEs are easily distinguishable because of a very high accuracy; maximal phase error is

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39

Yang, Da-long, Da-hai Chen, Jian Zhang, and Zhi-qiang Chen. "Constant Modulus Equalization Algorithm for Higher-order General Constellations." Journal of Electronics & Information Technology 34, no. 12 (2013): 2855–61. http://dx.doi.org/10.3724/sp.j.1146.2012.00619.

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40

Li, Xiu, and Hui Li Han. "Numerical Solution of Constant-Q Fractional Order Integral Modeling." Advanced Materials Research 690-693 (May 2013): 1821–25. http://dx.doi.org/10.4028/www.scientific.net/amr.690-693.1821.

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In this paper fractional order integral model is set up about quality factor. Complex rectangular and Chebyshev polynomial are utilized to approximate the fractional order integral equation. Moreover, plane wave is used to calculate quality factor-Q. The numerical results show that Chebyshev polynomial approximation is more suitable to describe integral modeling of quality factor.

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41

Shan, Zebiao, Yaowu Shi, and Lanxiang Zhu. "Application of fractional order PID in controlling constant current." International Journal of Reasoning-based Intelligent Systems 7, no. 3/4 (2015): 145. http://dx.doi.org/10.1504/ijris.2015.072940.

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42

Meissner, Krzysztof A., and Marek Olechowski. "Domain Walls without Cosmological Constant in Higher Order Gravity." Physical Review Letters 86, no. 17 (2001): 3708–11. http://dx.doi.org/10.1103/physrevlett.86.3708.

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43

WANSING, HEINRICH. "Strong Cut-Elimination for Constant Domain First-Order S5." Logic Journal of IGPL 3, no. 5 (1995): 797–810. http://dx.doi.org/10.1093/jigpal/3.5.797.

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44

Feng, Ruyong, and Xiao-Shan Gao. "Polynomial solutions for first order ODEs with constant coefficients." ACM SIGSAM Bulletin 37, no. 3 (2003): 71–72. http://dx.doi.org/10.1145/990353.990360.

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45

Alías, Luis J., Jorge H. S. de Lira, and J. Miguel Malacarne. "CONSTANT HIGHER-ORDER MEAN CURVATURE HYPERSURFACES IN RIEMANNIAN SPACES." Journal of the Institute of Mathematics of Jussieu 5, no. 04 (2006): 527. http://dx.doi.org/10.1017/s1474748006000077.

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46

HE, QI-MING, YIGAL GERCHAK, and ABRAHAM GROSFELD-NIR. "OPTIMAL INSPECTION ORDER WHEN PROCESS’ FAILURE RATE IS CONSTANT." International Journal of Reliability, Quality and Safety Engineering 03, no. 01 (1996): 25–41. http://dx.doi.org/10.1142/s0218539396000041.

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Suppose that a lot has been produced by a process with a constant failure rate. So either the entire lot is good, or all units up to some point are good and from that point on are all defective. We wish to determine the order in which units in such lot should be inspected so as to minimize the expected number of inspections needed to identify all defectives. Unlike previous work in this area, we do not a priori assume that the last unit in the lot is defective, and that key difference turns out to dramatically influence the nature of the optimal inspection policy and the expected number of uni

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47

Owen, Joel S., Scott A. Jenkins, and William R. Ravis. "Polynomial Procedure for Estimating First-Order Absorption Rate Constant." Annals of Pharmacotherapy 27, no. 5 (1993): 652–53. http://dx.doi.org/10.1177/106002809302700524.

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Sotner, Roman, Lukas Langhammer, Jan Jerabek, Peter A. Ushakov, and Tomas Dostal. "Fractional-Order Phase Shifters with Constant Magnitude Frequency Responses." Elektronika ir Elektrotechnika 25, no. 5 (2019): 25–30. http://dx.doi.org/10.5755/j01.eie.25.5.24352.

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Abstract:

This contribution presents and experimentally analyzes the idea how to reach the constant magnitude as well as the phase response in the fractional-order (FO) phase when shifting two-ports. The straightforward method employing the automatic gain control circuit (AGC) in a cascade after so-called constant phase block approximating FO integrator or differentiator is studied. The variable gain amplifier utilized in AGC and simple RC-based FO constant phase elements (approximating capacitors with order alpha = 1/4 and alpha = 1/2 as an example) connected in the feedback of operational amplifier-ba

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Koopal, Luuk K., Maarten M. Nederlof, Willem H. Van Riemsdijk, and Peter A. Barneveld. "Semianalytical Methods To Determine First-Order Rate Constant Distributions†." Langmuir 13, no. 5 (1997): 961–69. http://dx.doi.org/10.1021/la9510543.

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Charatonik, Janusz J. "On Generalized Homogeneity of Curves of a Constant Order." Rocky Mountain Journal of Mathematics 24, no. 2 (1994): 491–504. http://dx.doi.org/10.1216/rmjm/1181072413.

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