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Journal articles on the topic 'R-Curves'

Author: Grafiati

Published: 4 June 2021

Last updated: 11 February 2022

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1

Farnsworth, David L. "Axes for symmetric convex curves." Mathematical Gazette 102, no. 553 (2018): 23–30. http://dx.doi.org/10.1017/mag.2018.4.

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Curves are given in polar coordinates (r, θ)by equations of the form r = f (θ), where for f (θ) > 0 all θ. Consider curves which are symmetric about the origin O, so that, f(θ + π) = f (θ) for all θ. For such a curve, its interior is the set {(r, θ) : 0 ≤ r ≤ f (θ)}. Further, assume that the curve is convex. Recall that a closed curve is convex if a line segment between any two of its points has no points exterior to the curve [1], [2, pp. 198-203]. We call these curves M-curves, because the curves are fundamental objects in Minkowski geometry, where they are called Minkowski circles or sim

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2

Lisovik, L. P., D. A. Koval’, and S. V. Martines. "R-transformers and fractal curves." Cybernetics and Systems Analysis 35, no. 3 (1999): 424–32. http://dx.doi.org/10.1007/bf02733431.

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3

Zhu, Xian-Kui, and Brian N. Leis. "Application of Constraint Corrected J-R Curves to Fracture Analysis of Pipelines." Journal of Pressure Vessel Technology 128, no. 4 (2005): 581–89. http://dx.doi.org/10.1115/1.2349571.

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Fracture properties of an API X80 pipeline steel have been developed using a set of single edge notched bend (SENB) and single edge notched tension (SENT) specimens with shallow and deep cracks to generate different crack-tip constraint levels. The test data show that the J-R curves for the X80 pipeline steel are strongly constraint dependent. To facilitate transfer of the experimental J-R curves to those for actual cracked components, like flawed pipeline, constraint corrected J-R curves are developed. The two-parameter J-A2 formulation is adopted to quantify constraint effect on the crack-ti

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4

Aldea, Nicoleta, and Gabriela Câmpean. "Geodesic Curves on $${\mathbb{R}}$$ R -Complex Finsler Spaces." Results in Mathematics 70, no. 1-2 (2015): 15–29. http://dx.doi.org/10.1007/s00025-015-0460-4.

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5

Jonsson, M., and J. Wästlund. "Partitions of $R^3$ into curves." MATHEMATICA SCANDINAVICA 83, no. 2 (1998): 192. http://dx.doi.org/10.7146/math.scand.a-13850.

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6

Hern�ndez, R. "Varieties of cuspidal curves in ? r." Mathematische Annalen 285, no. 4 (1989): 593–99. http://dx.doi.org/10.1007/bf01452049.

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7

Guha, Rajarshi, Debojyoti Dutta, David J. Wild, and Ting Chen. "Counting Clusters Using R-NN Curves." Journal of Chemical Information and Modeling 47, no. 4 (2007): 1308–18. http://dx.doi.org/10.1021/ci600541f.

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8

Zavada, V. P. "Construction of R-curves for ceramics." Strength of Materials 24, no. 1 (1992): 44–51. http://dx.doi.org/10.1007/bf00777224.

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9

Farnsworth, David L. "r-invariant curves for linear regression." Journal of Applied Statistics 19, no. 3 (1992): 299–303. http://dx.doi.org/10.1080/02664769200000026.

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10

Boulbot, A., Abdelhakim Chillali, and A. Mouhib. "Elliptic curves over the ring R." Boletim da Sociedade Paranaense de Matemática 38, no. 3 (2019): 193–201. http://dx.doi.org/10.5269/bspm.v38i3.39868.

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Let Fq be a ﬁnite ﬁeld of q elements, where q is a power of a prime number p greater than or equal to 5. In this paper, we study the elliptic curve denoted Ea,b(Fq[e]) over the ring Fq[e], where e2 = e and (a,b) ∈ (Fq[e])2. In a ﬁrst time, we study the arithmetic of this ring. In addition, using the Weierstrass equation, we deﬁne the elliptic curve Ea,b(Fq[e]) and we will show that Eπ0(a),π0(b)(Fq) and Eπ1(a),π1(b)(Fq) are two elliptic curves over the ﬁeld Fq, where π0 and π1 are respectively the canonical projection and the sum projection of coordinates of X ∈Fq[e]. Precisely, we give a bijec

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11

Turner, C. E. "A question on computed R-curves." International Journal of Fracture 69, no. 1 (1995): R3—R10. http://dx.doi.org/10.1007/bf00032192.

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12

Kolednik, Otmar. "Some fundamental questions about R-curves." Steel Research 63, no. 7 (1992): 315–17. http://dx.doi.org/10.1002/srin.199200524.

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13

Will, P. "R curves for energy dissipative materials." Journal of Materials Science 29, no. 9 (1994): 2335–40. http://dx.doi.org/10.1007/bf00363423.

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14

Fett, T. "Determination of bridging stresses and R-curves from load-displacement curves." Engineering Fracture Mechanics 52, no. 5 (1995): 803–10. http://dx.doi.org/10.1016/0013-7944(95)00053-x.

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15

Knutsen, Andreas Leopold, Margherita Lelli-Chiesa, and Giovanni Mongardi. "Severi varieties and Brill–Noether theory of curves on abelian surfaces." Journal für die reine und angewandte Mathematik (Crelles Journal) 2019, no. 749 (2019): 161–200. http://dx.doi.org/10.1515/crelle-2016-0029.

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Abstract Severi varieties and Brill–Noether theory of curves on K3 surfaces are well understood. Yet, quite little is known for curves on abelian surfaces. Given a general abelian surface S with polarization L of type {(1,n)} , we prove nonemptiness and regularity of the Severi variety parametrizing δ-nodal curves in the linear system {|L|} for {0\leq\delta\leq n-1=p-2} (here p is the arithmetic genus of any curve in {|L|} ). We also show that a general genus g curve having as nodal model a hyperplane section of some {(1,n)} -polarized abelian surface admits only finitely many such models up t

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16

Petersen, Jonas, and Mads T. Frandsen. "A method for discriminating between dark matter models and MOND modified inertia via galactic rotation curves." Monthly Notices of the Royal Astronomical Society 496, no. 2 (2020): 1077–91. http://dx.doi.org/10.1093/mnras/staa1541.

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ABSTRACT Dark matter (DM) and modified Newtonian dynamics (MOND) models of rotationally supported galaxies lead to curves with different geometries in (gN, gtot)-space (g2-space). Here, gtot is the total acceleration and gN is the acceleration as obtained from the baryonic matter via Newtonian dynamics. In MOND modified inertia (MI) models, the curves in g2-space are closed with zero area and so curve segments at radii r ≥ rN (large radii) and r &lt; rN (small radii) coincide, where rN is the radius where gN is greatest. In DM models with cored density profiles where gtot is also zero at t

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17

Bujalance, E., G. Gromadzki, and M. Izquierdo. "On real forms of a complex algebraic curve." Journal of the Australian Mathematical Society 70, no. 1 (2001): 134–42. http://dx.doi.org/10.1017/s1446788700002329.

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AbstractTwo projective nonsingular complex algebraic curves X and Y defined over the field R of real numbers can be isomorphic while their sets X(R) and Y(R) of R-rational points could be even non homeomorphic. This leads to the count of the number of real forms of a complex algebraic curve X, that is, those nonisomorphic real algebraic curves whose complexifications are isomorphic to X. In this paper we compute, as a function of genus, the maximum number of such real forms that a complex algebraic curve admits.

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18

ROSE, L. R. F., and M. V. SWAIN. "Two R Curves for Partially Stabilized Zirconia." Journal of the American Ceramic Society 69, no. 3 (1986): 203–7. http://dx.doi.org/10.1111/j.1151-2916.1986.tb07407.x.

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19

Karastamatis, Thomas, Doru C. Lupascu, Sergio L. dos Santos e Lucato, Jürgen Rödel, and Christopher S. Lynch. "R-curves of lead zirconate titanate (PZT)." Journal of the European Ceramic Society 23, no. 9 (2003): 1401–8. http://dx.doi.org/10.1016/s0955-2219(02)00352-7.

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20

Qi, Jianzhong, Yufei Tao, Yanchuan Chang, and Rui Zhang. "Packing R-trees with Space-filling Curves." ACM Transactions on Database Systems 45, no. 3 (2020): 1–47. http://dx.doi.org/10.1145/3397506.

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21

Yang, Shu, and Andrew Braham. "R-curves characterisation analysis for asphalt concrete." International Journal of Pavement Engineering 19, no. 2 (2016): 99–108. http://dx.doi.org/10.1080/10298436.2016.1172467.

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22

Mackie, Kevin R., and Božidar Stojadinović. "R-Factor Parameterized Bridge Damage Fragility Curves." Journal of Bridge Engineering 12, no. 4 (2007): 500–510. http://dx.doi.org/10.1061/(asce)1084-0702(2007)12:4(500).

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23

Wo, Weifeng, and Changzheng Qu. "Integrable motions of curves in S1×R." Journal of Geometry and Physics 57, no. 8 (2007): 1733–55. http://dx.doi.org/10.1016/j.geomphys.2007.02.006.

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24

Cook, R. F., and D. R. Clarke. "Fracture stability, R-curves and strength variability." Acta Metallurgica 36, no. 3 (1988): 555–62. http://dx.doi.org/10.1016/0001-6160(88)90088-0.

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25

JARVIS, TYLER J. "GEOMETRY OF THE MODULI OF HIGHER SPIN CURVES." International Journal of Mathematics 11, no. 05 (2000): 637–63. http://dx.doi.org/10.1142/s0129167x00000325.

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This article treats various aspects of the geometry of the moduli [Formula: see text] of r-spin curves and its compactification [Formula: see text]. Generalized spin curves, or r-spin curves, are a natural generalization of 2-spin curves (algebraic curves with a theta-characteristic), and have been of interest lately because of the similarities between the intersection theory of these moduli spaces and that of the moduli of stable maps. In particular, these spaces are the subject of a remarkable conjecture of E. Witten relating their intersection theory to the Gelfand–Dikii (KdVr) heirarchy. T

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26

KAVATHEKAR, PARITOSH A., BRUCE A. CRAIG, ALAN M. FRIEDMAN, CHRIS BAILEY-KELLOGG, and DEVIN J. BALKCOM. "CHARACTERIZING THE SPACE OF INTERATOMIC DISTANCE DISTRIBUTION FUNCTIONS CONSISTENT WITH SOLUTION SCATTERING DATA." Journal of Bioinformatics and Computational Biology 08, no. 02 (2010): 315–35. http://dx.doi.org/10.1142/s0219720010004781.

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Scattering of neutrons and X-rays from molecules in solution offers alternative approaches to the study of a wide range of macromolecular structures in their solution state without crystallization. We study one part of the problem of elucidating three-dimensional structure from solution scattering data, determining the distribution of interatomic distances, P(r), where r is the distance between two atoms in the protein molecule. This problem is known to be ill-conditioned: for a single observed diffraction pattern, there may be many consistent distance distribution functions, and there is a ri

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27

LIU, MIN. "SMALL RATIONAL CURVES ON THE MODULI SPACE OF STABLE BUNDLES." International Journal of Mathematics 23, no. 08 (2012): 1250085. http://dx.doi.org/10.1142/s0129167x12500851.

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For a smooth projective curve C with genus g ≥ 2 and a degree 1 line bundle [Formula: see text] on C, let [Formula: see text] be the moduli space of stable vector bundles of rank r over C with the fixed determinant [Formula: see text]. In this paper, we study the small rational curves on M and estimate the codimension of the locus of the small rational curves. In particular, we determine all small rational curves when r = 3.

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28

Srinivasan, S., and R. O. Scattergood. "R-curve measurements in PSZ ceramics." Journal of Materials Research 5, no. 7 (1990): 1490–95. http://dx.doi.org/10.1557/jmr.1990.1490.

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An indentation-bend failure-stress method was used for measurement of R-curves in a series of PSZ ceramics with varying peak toughness. Dilatational transformation-stress constraints are included in the residual-stress driving force contribution to the applied stress intensity factor. A power-law fit to the form of the R-curve simplifies the analysis. While the resulting curves show the expected form, measured toughness values are high relative to the expected peak toughness. Limitations and the range of applicability of the indentation-bend technique are discussed.

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29

Zhao, J., J. Tang, and H. C. Wu. "A Reliability Assessment Method in Strain-Based Fatigue Life Analysis." Journal of Pressure Vessel Technology 120, no. 1 (1998): 99–104. http://dx.doi.org/10.1115/1.2841893.

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For the purpose of fatigue reliability assessment based on strain-life analysis, a family of reliability-defined ε-Nf curves, called R-ε-Nf curves, is constructed by considering the interference model of fatigue strain capacity and applied strain history. The main effort of this work is to define reliability factors which are used to modify the conventional ε-Nf curve into a family of R-ε-Nf curves. A major contribution of this paper is to define two “unique” reliability factors, one for elastic-strain-life relation and the other for plastic-strain-life relation, for a certain reliability by u

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30

Sakaki, Makoto. "Lorentzian stationary surfaces and null curves in $${R^4_2}$$ R 2 4." Journal of Geometry 105, no. 2 (2014): 359–68. http://dx.doi.org/10.1007/s00022-014-0225-3.

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31

Mandel, Rainer. "Boundary value problems for Willmore curves in $$\mathbb {R}^2$$ R 2." Calculus of Variations and Partial Differential Equations 54, no. 4 (2015): 3905–25. http://dx.doi.org/10.1007/s00526-015-0925-z.

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32

Secco, Silvia. "Fractional integration along homogeneous curves in $R^3$." MATHEMATICA SCANDINAVICA 85, no. 2 (1999): 259. http://dx.doi.org/10.7146/math.scand.a-18275.

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33

Chuaqui, Martin. "Möbius parametrizations of curves in $${\mathbb{R}}^n$$." Archiv der Mathematik 92, no. 6 (2009): 626–36. http://dx.doi.org/10.1007/s00013-009-3116-3.

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34

Gekeler, Ernst-Ulrich. "Towers of GL($r$)-type of modular curves." Journal für die reine und angewandte Mathematik (Crelles Journal) 2019, no. 754 (2019): 87–141. http://dx.doi.org/10.1515/crelle-2017-0012.

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Abstract We construct Galois covers {X^{r,k}(N)} over {{\mathbb{P}}^{1}/{\mathbb{F}}_{q}(T)} with Galois groups close to {{\rm GL}(r,{\mathbb{F}}_{q}[T]/(N))} ( {r\geq 3} ) and rationality and ramification properties similar to those of classical modular curves {X(N)} over {{\mathbb{P}}^{1}/{\mathbb{Q}}} . As application we find plenty of good towers (with \limsup{\frac{\text{number~{}of~{}rational~{}points}}{{\rm genus}}>0} ) of curves over the field {{\mathbb{F}}_{q^{r}}} with {q^{r}} elements.

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35

Chiodo, Alessandro. "Stable twisted curves and their r-spin structures." Annales de l’institut Fourier 58, no. 5 (2008): 1635–89. http://dx.doi.org/10.5802/aif.2394.

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36

Fünfschilling, S., T. Fett, M. J. Hoffmann, et al. "Bridging stresses from R-curves of silicon nitrides." Journal of Materials Science 44, no. 14 (2009): 3900–3904. http://dx.doi.org/10.1007/s10853-009-3507-7.

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37

Rödel, Jürgen, Yo-Han Seo, Andreja Benčan, Barbara Malič, Marija Kosec, and Kyle G. Webber. "R-curves in transformation toughened lead zirconate titanate." Engineering Fracture Mechanics 100 (March 2013): 86–91. http://dx.doi.org/10.1016/j.engfracmech.2012.06.023.

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38

Hurford, Amy, Christina A. Cobbold, and Péter K. Molnár. "Skewed temperature dependence affects range and abundance in a warming world." Proceedings of the Royal Society B: Biological Sciences 286, no. 1908 (2019): 20191157. http://dx.doi.org/10.1098/rspb.2019.1157.

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Population growth metrics such as R 0 are usually asymmetric functions of temperature, with cold-skewed curves arising when the positive effects of a temperature increase outweigh the negative effects, and warm-skewed curves arising in the opposite case. Classically, cold-skewed curves are interpreted as more beneficial to a species under climate warming, because cold-skewness implies increased population growth over a larger proportion of the species's fundamental thermal niche than warm-skewness. However, inference based on the shape of the fitness curve alone, and without considering the sy

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39

Korotkiy, Viktor. "Cubic Curves in Engineering Geometry." Geometry & Graphics 8, no. 3 (2020): 3–24. http://dx.doi.org/10.12737/2308-4898-2020-3-24.

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In this paper are considered historically the first (the 60’s of the 20th century) computational methods for algebraic cubic curves constructing. The analysis of a general cubic curve equation r(t)=a3t3+a2t2+a1t+a0 has been carried out. As an example has been considered the simplest cubic curve r(t)=it3+jt2+kt. Based on the general cubic curve equation have been obtained equations of a cubic curve passing through two predetermined points and having predetermined tangents at these points. The equations have been presented both in Ferguson and Bézier forms. It has been shown th

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40

Semeida, Ahmed Mohamed. "Impact of Horizontal Curves and Percentage of Heavy Vehicles on Right Lane Capacity at Multi-lane Highways." PROMET - Traffic&Transportation 29, no. 3 (2017): 299–309. http://dx.doi.org/10.7307/ptt.v29i3.2152.

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In the present research, the influence of road geometric properties and traffic characteristics on the right lane capacity value is explored for horizontal curves. The non-traditional procedure (artificial neural networks - ANNs), is adopted for modelling. The research utilizes 78 horizontal curves that provide the traffic and road geometry data, of which55 curves are classified as four-lane and the rest as six-lane ones. Two types of models are introduced to explore the right lane capacity as capacity at curves, and the capacity loss between curves and tangents. The results show that, for hor

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41

Karimi, F., A. Ranjbaran, and P. Amirian. "Effect of R, µ and T on the Fragility Curves for Two Spans Reinforced Concrete Highway Bridges." Journal of Applied Engineering Sciences 9, no. 2 (2019): 145–54. http://dx.doi.org/10.2478/jaes-2019-0020.

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Abstract Fragility curves are useful tools for evaluating the probability of structural damage due to earthquakes as a function of ground motion indices. The force reduction factor (R) is one of the seismic design parameters that determine the nonlinear performance of building structures during strong earthquakes. R factor itself is mostly a function of displacement ductility (µ), natural period of a structure, and soil conditions. A statistical method (Path Analysis) is proposed for the first time to determine the effect of R, µ and T on the column fragility curve parameters of typical box gi

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42

Um, J. H., I. Y. Choi, S. C. Yang, and M. C. Kim. "Optimization of alignment considering ride comfort for superimposition of vertical and horizontal curves." Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit 225, no. 6 (2011): 649–62. http://dx.doi.org/10.1177/0954409710397641.

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Superimposition of horizontal and vertical curves may hamper train ride comfort and running stability and inflate maintenance costs. However, designing a track plan without superimposed curves is difficult owing to fixed points that have to be either avoided because of geographical conditions or traversed so that existing structures are utilized. This article presents a method to optimize the alignment of horizontal curves to enhance train ride comfort and running stability when horizontal and vertical curves are superimposed in the case of railway construction/renovation. An algorithm was dev

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43

Alkhouli, Talat. "Planar Curves out of Their Curvatures in R2." European Scientific Journal, ESJ 12, no. 36 (2016): 132. http://dx.doi.org/10.19044/esj.2016.v12n36p132.

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This research aims to introduce some of the main ideas of differential geometry. The research deals with the main concepts needed to understand this work. In this research properties of curves in 2 R are studied. The research is built on using the curvature of a curve in 2 R to derive a parametric formula for the velocity and acceleration. Also the geometry of focal points has been discussed. Examples are built to support the aim of this research.

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44

LITTEL, KENNETH J., and KATHLEEN A. LaROCCO. "Bioluminescent Standard Curves for Quantitive Determination of Yeast Contaminants in Carbonated Beverages." Journal of Food Protection 48, no. 12 (1985): 1022–24. http://dx.doi.org/10.4315/0362-028x-48.12.1022.

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The bioluminescent adenosine triphosphate (ATP) assay is a rapid and sensitive tool for quantitating contaminant yeast levels in beverage samples. A simple model system is described for generating standard curves relating yeast ATP to conventional colony forming units (CFUs). Bioluminescent standard curves were generated by spiking commercial cola or diet lemon-lime samples with Saccharomyces rouxii ATCC 36141. Yeast cells were concentrated onto filters under vacuum and ATP was subsequently extracted from the cells for analysis. Correlation coefficients for each S. rouxii standard curve indica

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45

Ahmad, Asliza, NA Abu Osman, Halim Mokhtar, Waqas Mehmood, and Nahrizul Adib Kadri. "Analysis of the interface pressure exerted by the Chêneau brace in patients with double-curve adolescent idiopathic scoliosis." Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine 233, no. 9 (2019): 901–8. http://dx.doi.org/10.1177/0954411919856144.

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The Chêneau brace has proven its effectiveness in treating the adolescent idiopathic scoliosis patients. However, no studies reported on the analysis of interface pressure in double-curve adolescent idiopathic scoliosis patients. In this study, we evaluated the interface pressure of the Chêneau brace action in double-curve adolescent idiopathic scoliosis patient treatment. A total of 72 (60 girls and 12 boys) patients aged 10 years and above participated in the study. The F-Socket transducers (9811E) were used to evaluate the pressure on the right thoracic and left thoracolumbar curves between

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46

Duursma, Remko, and Brendan Choat. "fitplc - an R package to fit hydraulic vulnerability curves." Journal of Plant Hydraulics 4 (January 16, 2017): e002. http://dx.doi.org/10.20870/jph.2017.e002.

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We describe a toolkit to fit hydraulic vulnerability curves, such as the percent loss of xylem hydraulic conductivity ('PLC curves') as a function of the water potential. The toolkit is implemented as an R package, and is thus free to use and open source. The package fits the Weibull or sigmoidal function to measurements of PLC, conductance or conductivity, at corresponding leaf or stem water potentials. From the fitted curve, estimates of Px (the water potential at which x% conductivity is lost, e.g. the P50), and slope parameter (Sx) are provided together with confidence intervals (CI) aroun

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47

Donaldson, Wayne, and Colette Good. "A′r : An estimate of area under isosensitivity curves." Behavior Research Methods, Instruments, & Computers 28, no. 4 (1996): 590–97. http://dx.doi.org/10.3758/bf03200547.

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48

Nagel, Alexander, James Vance, Stephen Wainger, and David Weinberg. "The Hilbert Transform for Convex Curves in R n." American Journal of Mathematics 108, no. 2 (1986): 485. http://dx.doi.org/10.2307/2374681.

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49

Kupitz, Yaakov S., and Micha A. Perles. "A Condition for Flatness of Curves in R n." American Mathematical Monthly 97, no. 5 (1990): 401. http://dx.doi.org/10.2307/2324391.

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50

Guth, Larry, and Joshua Zahl. "Curves in $$\mathbb {R}^4$$ and Two-Rich Points." Discrete & Computational Geometry 58, no. 1 (2016): 232–53. http://dx.doi.org/10.1007/s00454-016-9833-z.

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