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Journal articles on the topic 'Order of Minims'

Author: Grafiati

Published: 5 June 2025

Last updated: 2 August 2025

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1

Berezhnoy, Yu A., and A. S. Molev. "Airy minima in 4He +28Si elastic and inelastic scattering." Modern Physics Letters A 35, no. 19 (2020): 2050159. http://dx.doi.org/10.1142/s021773232050159x.

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We present the results of the [Formula: see text]-matrix description of the [Formula: see text] elastic and inelastic scattering differential cross-sections between 40 and 240 MeV with allocation of Airy minima of various orders. The first-order Airy minima have been unambiguously identified in the differential cross-sections for elastic scattering and inelastic scattering to the first [Formula: see text] state of [Formula: see text] at energies [Formula: see text] MeV, and the second-order Airy minima — at [Formula: see text] MeV. The angular positions of these minima obey an inverse dependen

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2

Jiménez, Bienvenido, and Vicente Novo. "Higher-order optimality conditions for strict local minima." Annals of Operations Research 157, no. 1 (2007): 183–92. http://dx.doi.org/10.1007/s10479-007-0197-x.

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3

Hochreiter, Sepp, and Jürgen Schmidhuber. "Flat Minima." Neural Computation 9, no. 1 (1997): 1–42. http://dx.doi.org/10.1162/neco.1997.9.1.1.

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We present a new algorithm for finding low-complexity neural networks with high generalization capability. The algorithm searches for a “flat” minimum of the error function. A flat minimum is a large connected region in weight space where the error remains approximately constant. An MDL-based, Bayesian argument suggests that flat minima correspond to “simple” networks and low expected overfitting. The argument is based on a Gibbs algorithm variant and a novel way of splitting generalization error into underfitting and overfitting error. Unlike many previous approaches, ours does not require ga

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4

Bonnans, Joseph Frédéric, and Alexander Ioffe. "Second-order Sufficiency and Quadratic Growth for Nonisolated Minima." Mathematics of Operations Research 20, no. 4 (1995): 801–17. http://dx.doi.org/10.1287/moor.20.4.801.

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5

Constantin, Elena. "Necessary conditions for weak minima and for strict minima of order two in nonsmooth constrained multiobjective optimization." Journal of Global Optimization 80, no. 1 (2021): 177–93. http://dx.doi.org/10.1007/s10898-021-01016-z.

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6

Luca, Florian, and Thato Mosima. "On the Local Minima of the Order of Appearance Function." International Journal of Mathematics and Mathematical Sciences 2015 (2015): 1–3. http://dx.doi.org/10.1155/2015/823973.

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The order of appearancez(n)of the positive integernis the smallest positive integerksuch thatndividesFk, thekth member of the Fibonacci sequence. In this paper, we improve upon some results from (Marques, 2011) concerning local minima ofz(n).

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7

Cooper, Gordon R. J. "Using the analytic signal amplitude to determine the location and depth of thin dikes from magnetic data." GEOPHYSICS 80, no. 1 (2015): J1—J6. http://dx.doi.org/10.1190/geo2014-0061.1.

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A semiautomatic method to determine the location and depth of thin dykes is introduced. The ratio of analytic signal amplitudes of orders 0 and 1 of the magnetic anomaly from a thin dike was used to give the distance [Formula: see text] to the dike. Local minima of [Formula: see text] gave the depth to the dike, and the position of these minima gave its horizontal location. Because in the method we used just the magnetic field and its first-order derivatives, it was less sensitive to noise than were higher order derivative-based methods. Once the position of the dike has been determined, then

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8

Kellman, Jordan. "Mendicants, Minimalism, and Method: Franciscan Scientific Travel in the Early Modern French Atlantic." Journal of Early Modern History 26, no. 1-2 (2022): 10–37. http://dx.doi.org/10.1163/15700658-bja10005.

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Abstract This article explores the scientific travels of French members of mendicant orders in the early modern Atlantic World. The Royal Cosmographer André Thevet, the Capuchin Claude D’Abbeville and the Minim Charles Plumier demonstrate a coherent but evolving Franciscan perspective in missionary scientific observation on the colonial frontier. It argues that the Franciscan monastic tradition, the Franciscan reform movement, and the teachings of the Minim order interacted with the colonial landscape and encounters with local environments and indigenous peoples in the Atlantic and Caribbean t

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9

Kayid, M. "Characterizations of the Weak Bivariate Failure Rate Order and Bivariate IFR Aging Class." Journal of Mathematics 2022 (April 30, 2022): 1–9. http://dx.doi.org/10.1155/2022/2573667.

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In this paper, two characterizations of the weak bivariate failure rate order over the bivariate Laplace transform order of two-dimensional residual lifetimes are given. The results are applied to characterize the weak bivariate failure rate ordering of random pairs by the weak bivariate mean residual lifetime ordering of the minima of pairs with exponentially distributed random pairs with unspecified mean. Moreover, a well-known bivariate aging term, namely, the bivariate increasing failure rate, is characterized by the weaker bivariate decreasing mean residual lifetime property of a random p

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10

Christopoulos, Stavros-Richard G., Efthimios S. Skordas, and Nicholas V. Sarlis. "On the Statistical Significance of the Variability Minima of the Order Parameter of Seismicity by Means of Event Coincidence Analysis." Applied Sciences 10, no. 2 (2020): 662. http://dx.doi.org/10.3390/app10020662.

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Natural time analysis has led to the introduction of an order parameter for seismicity when considering earthquakes as critical phenomena. The study of the fluctuations of this order parameter has shown that its variability exhibits minima before strong earthquakes. In this paper, we evaluate the statistical significance of such minima by using the recent method of event coincidence analysis. Our study includes the variability minima identified before major earthquakes in Japan and Eastern Mediterranean as well as in global seismicity.

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11

Elemasetty, Uday Kiran, and Haritha Mediga. "Functional Group Structure in a Novel Chaos Theory Diverging Non-Linear Significant Functions with Counters-Residues Pattern in Singular Integral – Derivative Applications." Journal of Statistics and Mathematical Engineering 5, no. 3 (2019): 28–36. https://doi.org/10.5281/zenodo.3404756.

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<em>Different mathematical function gives divergence system in chaos theory functions. To all extinct in counter integration in HU evaluation theory A(H) and C(U) are the block functions with open and closed integral loop control in linear algebraic system at large expansion of system in nonlinear algebraic expression. It sets the point in H and u with combinational sequential order of values. Additive system function (z*, x, y, n) gives derivative product in individual terms where the subtractive function (-z*, -x, -y, -n) in integral form H-U vertical mathematical in k-1 divided by 2</em> <e

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12

Budzyń, Stanisław, Janusz Jakóbiec, Barbara Tora, and Wiesław Żmuda. "Laboratory analysis of rubber wastes in order to their utilization in energy sector." AGH Journal of Mining and Geoengineering 37, no. 2 (2013): 9. http://dx.doi.org/10.7494/mining.2013.37.2.9.

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13

Dias, F., and J. M. Ghidaglia. "Critical states and minima for an energy with second–order gradients." Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 456, no. 1993 (2000): 97–124. http://dx.doi.org/10.1098/rspa.2000.0510.

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14

Sarlis, N. V., S. R. G. Christopoulos, and E. S. Skordas. "Minima of the fluctuations of the order parameter of global seismicity." Chaos: An Interdisciplinary Journal of Nonlinear Science 25, no. 6 (2015): 063110. http://dx.doi.org/10.1063/1.4922300.

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15

Passos, Dário, and Ilídio Lopes. "Grand minima under the light of a low order dynamo model." Journal of Atmospheric and Solar-Terrestrial Physics 73, no. 2-3 (2011): 191–97. http://dx.doi.org/10.1016/j.jastp.2009.12.019.

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16

Konstandatos, Otto. "Third Order Compound Option Valuation of Flexible Commodity Based Mining Enterprises." Archives of Business Research 3, no. 1 (2015): 19–35. http://dx.doi.org/10.14738/abr.31.801.

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17

Napel, Daniël N. ten, Janne-Mieke Meijer, and Andrei V. Petukhov. "The Analysis of Periodic Order in Monolayers of Colloidal Superballs." Applied Sciences 11, no. 11 (2021): 5117. http://dx.doi.org/10.3390/app11115117.

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The characterization of periodic order in assemblies of colloidal particles can be complicated by the coincidence of Bragg diffraction peaks of the structure and minima in the form factor of the particles. Here, we demonstrate a general strategy to overcome this problem that is applicable to all low-dimensional structures. This approach is demonstrated in the application of small-angle X-ray scattering (SAXS) for the characterization of monolayers of colloidal silica superballs prepared using the unidirectional rubbing method. In this method, the ordering of the colloidal superballs is achieve

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18

Jovanović, Nebojša. "De minimis state aid." Pravo i privreda 59, no. 2 (2021): 87–106. http://dx.doi.org/10.5937/pip2102087j.

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In this paper the author analyses de minimis state aid as an exception from the principle of prohibiting the state to help some undertakings in order not to privilege them among other undertakings and to violate their equality on the market. Author explains the notion of de minimis aid, justification of this exception from the prohibition of granting the state aid, privilege that its provider and beneficiary enjoy in comparison with other types of allowable ("compatible") state AIDS, as well as the methods of preventing the circumvention of rules about its granting. Th e author compares the ru

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19

Hou, Wanting, and Wenming Hong. "Minima of independent time-inhomogeneous random walks." Infinite Dimensional Analysis, Quantum Probability and Related Topics 23, no. 03 (2020): 2050021. http://dx.doi.org/10.1142/s0219025720500216.

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In this paper, we will consider the minima of an exponentially growing number of independent time-inhomogeneous random walks, where the first- and second-order limit behaviors for the minima have been obtained.

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20

Bugatekin, Ayşe. "GEOMETRİK DAĞILIMDAKİ SIRA İSTATİSTİKLERİN ÖRNEK MİNİMUMUNUN MOMENT ÇIKARAN FONKSİYONU." e-Journal of New World Sciences Academy 10, no. 3 (2015): 51–54. http://dx.doi.org/10.12739/nwsa.2015.10.3.3a0073.

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21

Georgiev, Pando G., Altannar Chinchuluun, and Panos M. Pardalos. "Optimality conditions of first order for global minima of locally Lipschitz functions." Optimization 60, no. 1-2 (2011): 277–82. http://dx.doi.org/10.1080/02331934.2010.524218.

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22

Habermann, Jens. "Partial regularity for minima of higher order functionals with p(x)-growth." manuscripta mathematica 126, no. 1 (2007): 1–40. http://dx.doi.org/10.1007/s00229-007-0147-6.

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23

Lacks, Daniel J., and Jeffrey R. Wienhoff. "Disappearances of energy minima and loss of order in polydisperse colloidal systems." Journal of Chemical Physics 111, no. 1 (1999): 398–401. http://dx.doi.org/10.1063/1.479282.

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24

Habibović, Dino, and Dejan B. Milošević. "Ellipticity of High-Order Harmonics Generated by Aligned Homonuclear Diatomic Molecules Exposed to an Orthogonal Two-Color Laser Field." Photonics 7, no. 4 (2020): 110. http://dx.doi.org/10.3390/photonics7040110.

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We investigate emission rate and ellipticity of high-order harmonics generated exposing a homonuclear diatomic molecule, aligned in the laser-field polarization plane, to a strong orthogonally polarized two-color (OTC) laser field. The linearly polarized OTC-field components have frequencies rω and sω, where r and s are integers. Using the molecular strong-field approximation with dressed initial state and undressed final state, we calculate the harmonic emission rate and harmonic ellipticity for frequency ratios 1:2 and 1:3. The obtained quantities depend strongly on the relative phase betwee

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25

Franz, Silvio, Flavio Nicoletti, and Federico Ricci-Tersenghi. "Linear low energy excitations in fully-connected models of glasses." Journal of Statistical Mechanics: Theory and Experiment 2022, no. 5 (2022): 053302. http://dx.doi.org/10.1088/1742-5468/ac6518.

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Abstract We study the linear excitations around typical energy minima of a mean-field disordered model with continuous degrees of freedom undergoing a random first order transition. Contrary to naive expectations, the spectra of linear excitations are ungapped and we find the presence of a pseudogap corresponding to localized excitations with arbitrary low excitation energy. Moving to deeper minima in the landscape, the excitations appear increasingly localized while their abundance decreases. Beside typical minima, there also exist rare ultra-stable minima, with an energy gap and no localised

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26

Faraci, Francesca, and Antonio Iannizzotto. "A MULTIPLICITY THEOREM FOR A PERTURBED SECOND-ORDER NON-AUTONOMOUS SYSTEM." Proceedings of the Edinburgh Mathematical Society 49, no. 2 (2006): 267–75. http://dx.doi.org/10.1017/s001309150400149x.

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AbstractIn this paper we establish a multiplicity result for a second-order non-autonomous system. Using a variational principle of Ricceri we prove that if the set of global minima of a certain function has at least $k$ connected components, then our problem has at least $k$ periodic solutions. Moreover, the existence of one more solution is investigated through a mountain-pass-like argument.

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27

Stasiak, Aleksandra. "Higher-order conditions for strict local Pareto minima for problems with partial order introduced by a polyhedral cone." Journal of Applied Analysis 24, no. 1 (2018): 45–54. http://dx.doi.org/10.1515/jaa-2018-0005.

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Abstract Using the definitions of μ-th order lower and upper directional derivatives of vector-valued functions, introduced in Rahmo and Studniarski (J. Math. Anal. Appl. 393 (2012), 212–221), we provide some necessary and sufficient conditions for strict local Pareto minimizers of order μ for optimization problems where the partial order is introduced by a pointed polyhedral cone with non-empty interior.

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28

ГОДИН, В. Н., Г. К. БОТОВ та Ю. А. ПОНЯЕВА. "БИОЛОГИЯ ЦВЕТЕНИЯ GAGEA MINIMA (LILIACEAE)". Растительный мир Азиатской России, № 1 (31 березня 2025): 20–26. https://doi.org/10.15372/rmar20250102.

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Изучены антэкологические особенности поликарпического луковичного кистекорневого полурозеточного растения Gagea minima (L.) Ker Gawl. в Московской области. Наблюдения проведены в 2021-2024 гг. по общепринятым методикам. Цветки слабо протандричные. Отмечается постепенное вскрывание пыльников всех шести тычинок в течение трех дней. Продолжительность цветения отдельного цветка составляет 4-8 дней, когда наблюдается совмещение тычиночной и рыльцевой стадий развития. Вечером (после 18:00) и при неблагоприятных условиях околоцветник закрывается, и цветки поникают. Синфлоресценция представляет собой

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29

Zhang, W. Y., S. Xu, and S. J. Li. "Necessary Conditions for Weak Sharp Minima in Cone-Constrained Optimization Problems." Abstract and Applied Analysis 2012 (2012): 1–11. http://dx.doi.org/10.1155/2012/909520.

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We study weak sharp minima for optimization problems with cone constraints. Some necessary conditions for weak sharp minima of higher order are established by means of upper Studniarski or Dini directional derivatives. In particular, when the objective and constrained functions are strict derivative, a necessary condition is obtained by a normal cone.

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30

Swatland, Howard J. "Polarized-Light Interferometry of Calcium Carbonate Deposition in Moss from a Waterfall on the Niagara Escarpment." Microscopy and Microanalysis 16, no. 3 (2010): 306–12. http://dx.doi.org/10.1017/s1431927610000152.

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AbstractDeposition of calcium carbonate from groundwater was examined on a moss, Didymodon tophaceus, from a Niagara Escarpment waterfall. A spectrophotometer on a polarizing microscope was used for interferometry. A second-order blue interference with an interference minimum around 620 nm was found when moss cell spaces were fully calcified. Filled cell spaces were often surrounded by empty cell spaces. Complete calcification of whole leaflets resulted in progressively higher orders of interference colors and a positive shift in interference minima. Calcified leaflets finally became cemented

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31

AOYAMA, HIDEAKI. "BOREL-SUMMABLE PERTURBATION SERIES FOR THEORIES WITH DEGENERATE MINIMA." Modern Physics Letters A 07, no. 15 (1992): 1337–44. http://dx.doi.org/10.1142/s0217732392001002.

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We shed new light on the large-order behavior of the perturbation theory for the quantum mechanics with degenerate minima. The dominant contribution at large-order of perturbation is identified as a bounce-like solution of an effective theory in Euclidean path-integral formalism. Based on this observation, we define an improved perturbation theory, which utilizes the symmetry of the theory. It is shown to yield a Borel-summable series.

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32

Li, Xiaohu, and Ming J. Zuo. "Preservation of stochastic orders for random minima and maxima, with applications." Naval Research Logistics 51, no. 3 (2004): 332–44. http://dx.doi.org/10.1002/nav.10122.

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33

Nagarjuna Reddy, S., and J. Janet. "Advanced Mining Technique for Improving the Order of Web Data Search in Online Communities." International Journal of Scientific Engineering and Research 2, no. 8 (2014): 32–36. https://doi.org/10.70729/j2013350.

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34

Hasović, Elvedin, Azra Gazibegović-Busuladžić, and Mustafa Busuladžić. "Interference Structures in the High-Order Above-Threshold Ionization Spectra of Polyatomic Molecules in a Bicircular Laser Field." Molecules 30, no. 14 (2025): 2946. https://doi.org/10.3390/molecules30142946.

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We analyze the high-order above-threshold ionization (HATI) process of a small polyatomic molecule with C3 symmetry, which is induced by a bicircular strong laser field. This field consists of two coplanar, counter-rotating, circularly polarized components with frequencies rω and sω where r and s are integers. In our study, we use an improved molecular strong-field approximation to obtain electron energy-angle-resolved and momentum spectra of the BF3 molecule. We analyze the contributions of individual atoms as well as the impact of molecular symmetries on these spectra. We find that these spe

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35

Jong-Mo Kum and Joon-Hyuk Chang. "Speech Enhancement Based on Minima Controlled Recursive Averaging Incorporating Second-Order Conditional MAP Criterion." IEEE Signal Processing Letters 16, no. 7 (2009): 624–27. http://dx.doi.org/10.1109/lsp.2009.2019351.

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36

He, Yang-Hui, Vishnu Jejjala, Luca Pontiggia, Yan Xiao, and Da Zhou. "Flatness of minima in random inflationary landscapes." International Journal of Modern Physics A 34, no. 17 (2019): 1950084. http://dx.doi.org/10.1142/s0217751x19500842.

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We study the likelihood for relative minima of random polynomial potentials to support the slow-roll conditions for inflation. Consistent with renormalizability and boundedness, the coefficients that appear in the potential are chosen to be order one with respect to the energy scale at which inflation transpires. Investigation of the single field case illustrates a window in which the potentials satisfy the slow-roll conditions. When there are two scalar fields, we find that the probability depends mildly on the choice of distribution for the coefficients. A uniform distribution yields a 0.05%

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37

Iacopo, Grassi. "Standard minimi di qualitŕ: un approccio teorico." STUDI ECONOMICI, no. 104 (January 2012): 29–41. http://dx.doi.org/10.3280/ste2011-104002.

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At least since Akerlof (1970), asymmetric information in the case of experience goods has been a central issue in the economic literature. This paper studies regulation in markets where the quality of the experience good is never completely verifiable by consumers even after purchase. In the proposed model firms can decide the quality of the good: always producing a high quality good creates a positive externality in the market, but it causes an incentive to the firms to deviate and produce low quality goods. The main policy instrument for the government, in order to maximize Social Welfare, i

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38

Berezovsky, S. V., V. F. Klepikov, V. Yu Korda, and N. A. Shlyakhov. "Equilibrium Nonlinear Distributions of One-Component Order Parameter in Systems with Competitive Interaction." International Journal of Modern Physics B 12, no. 04 (1998): 433–47. http://dx.doi.org/10.1142/s0217979298000284.

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The approach which enables to obtain the solutions of the variational equation as the series [Formula: see text] is considered. It is shown that when N=1 it gives well-known cos x solutions, while for N>1 it leads to essentially nonlinear functions. The φ2φ′2-term in the thermodynamical potential provides the proper nonlinear behavior of the order parameter and the possibility of existence of kink-like distributions, particularly. In special case N=2 there exist the exact partial solutions which, however, do not give the absolute minima to the thermodynamical potential.

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39

Serrano-Mira, Lidia, Luis Pérez Sanz, Javier A. Pérez-Castán, Fedja Netjasov, Irene García Moreno, and Eduardo S. Ayra. "Preliminary Feasibility Study of the Ad Hoc Separation Operational Concept." Aerospace 10, no. 6 (2023): 539. http://dx.doi.org/10.3390/aerospace10060539.

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The expected growth of air traffic in the coming decades demands an increase in airspace capacity, which is already close to saturation in many scenarios. One of the limiting factors of this capacity is the separation minima. At present, the separation standards that apply in a given volume of airspace are fixed, and their values were determined decades ago. Therefore, in order to increase airspace capacity, this is an area in which improvement is sought, namely through the implementation of new operational concepts, which include the redefinition of separation minima and the way they are appl

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40

Ahmad, Ibrahim, and Mohamed Kayid. "Reversed preservation of stochastic orders for random minima and maxima with applications." Statistical Papers 48, no. 2 (2007): 283–93. http://dx.doi.org/10.1007/s00362-006-0331-x.

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41

CHOI, CHANGKYU, and JU-JANG LEE. "FINDING MULTIPLE LOCAL MINIMA USING CHAOTIC JUMP." International Journal of Cooperative Information Systems 07, no. 01 (1998): 105–15. http://dx.doi.org/10.1142/s0218843098000064.

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In this paper, the local minima free search algorithm using chaos is proposed for an unstructured search space. The problem is that given the quality function, find the value of a configuration that minimizes the quality function. The proposed algorithm started basically from the gradient search technique but at the prescribed points, that is, local minimum points, which are to be automatically detected the chaotic jump is introduced by the dynamics of a chaotic neuron. Chaotic motions are mainly because of the Gaussian function having a hysteresis as a refractoriness. In order to enhance the

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42

Tvardovskyi, D. E. "Third components with elliptical orbits in the eclipsing binaries: AB Cas, AF Gem, AR Boo, BF Vir and CL Aur." Advances in Astronomy and Space Physics 11, no. 1-2 (2021): 3–7. http://dx.doi.org/10.17721/2227-1481.11.3-7.

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In this research, five eclipsing binary stars were studied: AB Cas, AF Gem, AR Boo, BF Vir and CL Aur. The large sets of moments of minima were used: from the international BRNO database and amateur observations from the database AAVSO. Firstly, moments of minima for AAVSO observations were obtained (totally - 222 minima). The software MAVKA was used and approximation with various methods was done in order to find the best fit. Then all obtained moments of minima were combined and O-C diagrams were plotted. For all stars these diagrams represented sinusoidal-like oscillations with superpositio

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43

Nizar, Najila, and Anila George. "Heavy Metal Absorption and Phytoremediation Capacity of Macrophytes of Polachira Wetland of Kollam District, Kerala, India." Research Journal of Chemistry and Environment 26, no. 1 (2021): 90–96. http://dx.doi.org/10.25303/2601rjce9096.

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The current research was carried out to estimate the concentration of heavy metals in water and aquatic macrophytes (Hydrilla verticillata, Salvinia minima and Eichornia crassipes) collected from the Polachira wetland of Kollam district, Kerala during the summer season of the year 2020. The water from the Polchira wetland was used for irrigating the agricultural land. Water and plant samples were collected from four different sites and were analyzed for heavy metals like Zn, Cu, Pb, Fe, Cd and Cr using AAS. The results indicated that the mean heavy metal contents in aquatic macrophytes were in

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44

SCHNEIDER, CLÉMENT. "Morphological review of the order Neelipleona (Collembola) through the redescription of the type species of Acanthoneelidus, Neelides and Neelus." Zootaxa 4308, no. 1 (2017): 1. http://dx.doi.org/10.11646/zootaxa.4308.1.1.

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This work proposes a comprehensive review of the morphological features of the Neelipleona, with focus on chaetotaxy. The major contributions to the knowledge of Neelipleona are discussed and new data are presented, acquired from the redescription of Neelides folsomi, Acanthoneelidus pratensis and Neelus murinus. New elements of description are given for Neelus fimbriatus, Megalothorax granulosus, Megalothorax minimus, Megalothorax nigropunctatus, Megalothorax svalbardensis. Juvenile morphology is also taken in consideration with the description of the early instar of Neelides folsomi, Neelus

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45

OGINO, T., A. MINAMI, and K. FUKUDA. "Abductor Digiti Minimi Opponensplasty in Hypoplastic Thumb." Journal of Hand Surgery 11, no. 3 (1986): 372–77. http://dx.doi.org/10.1016/0266-7681_86_90160-9.

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Ten cases of hypoplastic thumbs were treated by abductor digiti minimi opponensplasty in order to restore opposition of the thumb and reform the wasted thenar eminence. In eight of these ten cases operations were combined with multiple Z-plasty or rotation flap to correct the narrowing of the first web space. Adductor plasty using extensor indicis proprius was performed in six cases to restore the stability of the metacarpophalangeal joint of the thumb and ligament reconstruction of the carpometacarpal joint in one hand. In all cases, the transferred abductor digiti minimi was strong enough to

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Dautermann, Thomas, and Thomas Ludwig. "DEGENERALIZING INSTRUMENT APPROACH MINIMA TO NON INSTRUMENT RUNWAYS: A CASE STUDY FOR PAYERNE AIRPORT IN SWITZERLAND." Aviation 24, no. 4 (2020): 177–81. http://dx.doi.org/10.3846/aviation.2020.12565.

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Instrument approaches to non- instrument runways were made possible by the new approach classification of ICAO. As a conservative solution, the procedure design guidelines by the national civil aviation authorities apply circling minima to those approaches to non-instrument runways. However, the classification as non-instrument runway is very binary. Often a small item causes a reduction from instrument to a non-instrument runway and the circling minima become thus very conservative. Here, two cases are shown, Payerne, a non-instrument runway, and Ouessant with an instrument runway, both equip

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Sulaiman, Barah M., Basim A. Hassan, and Ranen M. Sulaiman. "A new secant method for minima one variable problems." Journal of Interdisciplinary Mathematics 26, no. 6 (2023): 1015–21. http://dx.doi.org/10.47974/jim-1601.

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In single variable situations, the traditional Newton’s approaches are the most popular. The new secant approach is based on the 2nd order Taylor expansion, which eliminates the necessity to compute the second derivative. Numerical tests have shown that the new secant approach is both numerical and effective when compared to the existing Newton method (N-method).

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Laylani, Yoksal A., Suaad M. Abdullah, and Basim Abbas Hassan. "An innovative secant technique for minima one variable problems." Journal of Interdisciplinary Mathematics 28, no. 1 (2025): 117–23. https://doi.org/10.47974/jim-1805.

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The classical Newtonian method is the most often used in single-variable scenarios. The second-order Taylor expansion, which the new secant technique is built on, does away with the need to compute the second derivative. Comparing the New Secant strategy to the current Newton method, numerical testing has demonstrated that it is both numerical and effective.

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Cerri, Jean-Paul, and Pierre Lezowski. "Computation of Euclidean minima in totally definite quaternion fields." International Journal of Number Theory 15, no. 01 (2019): 43–66. http://dx.doi.org/10.1142/s1793042118501725.

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We describe an algorithm that allows to compute the Euclidean minimum (for the norm form) of any order of a totally definite quaternion field over a number field [Formula: see text] of degree strictly greater than [Formula: see text]. Our approach is a generalization of the previous work dealing with number fields. The algorithm was practically implemented when [Formula: see text] has degree [Formula: see text].

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Day, Luke, Ouala Abdelhadi Ep Souki, Andreas A. Albrecht, and Kathleen Steinhöfel. "Random versus Deterministic Descent in RNA Energy Landscape Analysis." Advances in Bioinformatics 2016 (March 2, 2016): 1–10. http://dx.doi.org/10.1155/2016/9654921.

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Identifying sets of metastable conformations is a major research topic in RNA energy landscape analysis, and recently several methods have been proposed for finding local minima in landscapes spawned by RNA secondary structures. An important and time-critical component of such methods is steepest, or gradient, descent in attraction basins of local minima. We analyse the speed-up achievable by randomised descent in attraction basins in the context of large sample sets where the size has an order of magnitude in the region of ~106. While the gain for each individual sample might be marginal, the

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