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1

Rudstam, Gösta. "Neutron Cross Sections, Volume 2, Neutron Cross Section Curves." Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment 281, no. 1 (August 1989): 250. http://dx.doi.org/10.1016/0168-9002(89)91244-8.

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2

Gardner, L., and T. M. Chan. "Cross-section classification of elliptical hollow sections." Steel and Composite Structures 7, no. 3 (June 25, 2007): 185–200. http://dx.doi.org/10.12989/scs.2007.7.3.185.

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3

Pegg, David J. "Photodetachment cross sections." Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 99, no. 1-4 (May 1995): 140–43. http://dx.doi.org/10.1016/0168-583x(94)00691-1.

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4

Donnachie, A., and P. V. Landshoff. "Total cross sections." Physics Letters B 296, no. 1-2 (December 1992): 227–32. http://dx.doi.org/10.1016/0370-2693(92)90832-o.

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5

Chen, Zhifan, and Alfred Z. Msezane. "Integral cross sections from measured electron-impact differential cross sections." Journal of Physics B: Atomic, Molecular and Optical Physics 31, no. 20 (October 28, 1998): 4655–61. http://dx.doi.org/10.1088/0953-4075/31/20/022.

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6

Gopalakrishnan, V. "Temperature dependence of unshielded cross-sections in multigroup cross-section sets." Annals of Nuclear Energy 27, no. 11 (July 2000): 1029–37. http://dx.doi.org/10.1016/s0306-4549(00)00012-8.

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7

Powell, C. J. "Inner-Shell Ionization Cross Sections." Proceedings, annual meeting, Electron Microscopy Society of America 48, no. 2 (August 12, 1990): 6–7. http://dx.doi.org/10.1017/s042482010013362x.

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Values of cross sections for ionization of inner-shell electrons by electron impact are required for electron probe microanalysis, Auger-electron spectroscopy, and electron energy-loss spectroscopy. The present author has reviewed measurements and calculations of inner-shell ionization cross sections. This paper is an update and summary of these previous reviews.It is convenient to start with the Bethe equation for inner-shell ionization cross sections which is frequently used (and misused) in x-ray microanalysis:(1)where σnℓ is the cross section for ionization of the nℓ shell with binding energy Enℓ by incident electrons of energy E. The terms bnℓ and cnℓ are the Bethe parameters discussed further below. It has been assumed in the derivation of Eq. (1) that E ≫ Enℓ ; this requirement will also be discussed. Finally, it has been assumed here that E is low enough (≲50 keV) so that a relativistic correction is unnecessary.The extent to which a given set of measured or calculated cross-section data is consistent with Eq. (1) can be determined from a Fano plot in which σnℓE is plotted versus ℓnE; if such a plot is linear, Eq. (1) is consistent with the data and values of the Bethe parameters can be easily derived.
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8

Easa, Said M. "Simplifying roadway cross sections without reducing volume accuracy." Canadian Journal of Civil Engineering 16, no. 4 (August 1, 1989): 483–88. http://dx.doi.org/10.1139/l89-078.

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A method for simplifying irregular ground profile of roadway cross sections by a straight line is presented. The presented method does not affect the accuracy of earthwork volume computations. Two types of cross sections are considered: cut (or fill) and transition sections. For a cut (or fill) section, the simplified section is designed such that its area equals that of the original section. This is accomplished by adjusting the least-squares (LS) parameters. Three cases of adjustments that depend on the area of the original section and the unadjusted LS parameters are presented. These cases preserve the section type (cut or fill) and, as much as possible, the general shape of the original section. For a transition section, the simplified section is designed such that its cut and fill areas equal those of the original section. These conditions of equal areas are used to develop formulas for designing the simplified section directly. Application of the method is illustrated by numerical examples. Key words: roadway, cross section, irregular, least squares, linear profile, earthwork volume.
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9

Glovnea, Marilena, Cornel Suciu, and Sergiu Spînu. "Some Aspects Regarding the Analysis of Straight Rods with Polygonal Cross Section Subjected to Torsion." Advanced Materials Research 814 (September 2013): 165–72. http://dx.doi.org/10.4028/www.scientific.net/amr.814.165.

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The present paper aims to model straight rods having regular polygonal cross sections, analyzing in particular triangular cross sections (isosceles and equilateral triangles) as well as rectangular cross sections subjected to torsion. Stress and strain states for such cross sections under torsion were determined and plotted as 3D and contour plots using Mathcad. Keywords: torsion, polygonal cross section, modeling.
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10

Harrington, David R. "Hadron-nucleon total cross section fluctuations from hadron-nucleus total cross sections." Physical Review C 52, no. 2 (August 1, 1995): 926–31. http://dx.doi.org/10.1103/physrevc.52.926.

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11

Schuler, Gerhard A., and Torbjörn Sjöstrand. "Hadronic diffractive cross sections and the rise of the total cross section." Physical Review D 49, no. 5 (March 1, 1994): 2257–67. http://dx.doi.org/10.1103/physrevd.49.2257.

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12

Trefftz, E. "Aluminium photoionisation cross sections." Journal of Physics B: Atomic, Molecular and Optical Physics 21, no. 10 (May 28, 1988): 1761–76. http://dx.doi.org/10.1088/0953-4075/21/10/010.

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13

Adelberger, Eric G., Sam M. Austin, John N. Bahcall, A. B. Balantekin, Gilles Bogaert, Lowell S. Brown, Lothar Buchmann, et al. "Solar fusion cross sections." Reviews of Modern Physics 70, no. 4 (October 1, 1998): 1265–91. http://dx.doi.org/10.1103/revmodphys.70.1265.

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14

SAJJAD ATHAR, M., S. CHAUHAN, S. K. SINGH, and M. J. VICENTE VACAS. "NEUTRINO NUCLEUS CROSS-SECTIONS." International Journal of Modern Physics E 18, no. 07 (August 2009): 1469–81. http://dx.doi.org/10.1142/s0218301309013774.

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We present the results of our calculation which has been performed to study the nuclear effects in the quasielastic, inelastic and deep inelastic scattering of neutrinos(antineutrinos) from nuclear targets. These calculations are done in the local density approximation. We take into account the effect of Pauli blocking, Fermi motion, Coulomb effect, renormalization of weak transition strengths in the nuclear medium in the case of the quasielastic reaction. The inelastic reaction leading to production of pions is calculated in a Δ-dominance model taking into account the renormalization of Δ properties in the nuclear medium and the final state interaction effects of the outgoing pions with the residual nucleus. We discuss the nuclear effects in the [Formula: see text] structure function in the deep inelastic neutrino(antineutrino) reaction using a relativistic framework to describe the nucleon spectral function in the nucleus.
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15

Radicioni, E. "Hadron Production cross-sections." Nuclear Physics B - Proceedings Supplements 155, no. 1 (May 2006): 92–96. http://dx.doi.org/10.1016/j.nuclphysbps.2006.02.018.

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16

Pelzer, Ben, Rob Eisinga, and Philip Hans Franses. "“Panelizing” Repeated Cross Sections." Quality & Quantity 39, no. 2 (April 2005): 155–74. http://dx.doi.org/10.1007/s11135-004-1673-x.

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17

Godbole, R. M., A. Grau, G. Pancheri, and Y. N. Srivastava. "Photon total cross-sections." Nuclear Physics B - Proceedings Supplements 126 (January 2004): 94–99. http://dx.doi.org/10.1016/s0920-5632(03)02313-2.

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18

Pywell, R. E., B. L. Berman, J. G. Woodworth, J. W. Jury, K. G. McNeill, and M. N. Thompson. "Photoneutron cross sections forC14." Physical Review C 32, no. 2 (August 1, 1985): 384–93. http://dx.doi.org/10.1103/physrevc.32.384.

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19

Dellwo, J., Y. Liu, C. Y. Tang, D. J. Pegg, and G. D. Alton. "Photodetachment cross sections forLi−." Physical Review A 46, no. 7 (October 1, 1992): 3924–28. http://dx.doi.org/10.1103/physreva.46.3924.

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20

Easterlin, Richard A. "Cross-Sections Are History." Population and Development Review 38 (February 2013): 302–8. http://dx.doi.org/10.1111/j.1728-4457.2013.00565.x.

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21

Sarcevic, Ina, Stephen D. Ellis, and Peter Carruthers. "QCD minijet cross sections." Physical Review D 40, no. 5 (September 1, 1989): 1446–52. http://dx.doi.org/10.1103/physrevd.40.1446.

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22

Sugiyama, Y., Y. Tomita, H. Ikezoe, K. Ideno, N. Shikazono, N. Kato, H. Fujita, T. Sugimitsu, and S. Kubono. "Transfer cross sections for." Physics Letters B 176, no. 3-4 (August 1986): 302–6. http://dx.doi.org/10.1016/0370-2693(86)90168-1.

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23

Donnachie, A., and P. V. Landshoff. "Rising total cross sections." Physics Letters B 202, no. 1 (February 1988): 131–32. http://dx.doi.org/10.1016/0370-2693(88)90866-0.

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24

Rubin, Barry. "Tailored Fiber Cross Sections." Advanced Materials 10, no. 15 (October 1998): 1225–27. http://dx.doi.org/10.1002/(sici)1521-4095(199810)10:15<1225::aid-adma1225>3.0.co;2-z.

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25

Tripathi, R. K., John W. Wilson, and Francis A. Cucinotta. "Accurate universal parameterization of absorption cross sections II — neutron absorption cross sections." Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 129, no. 1 (June 1997): 11–15. http://dx.doi.org/10.1016/s0168-583x(97)00121-3.

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26

Barak, J. "Simple Calculations of Proton SEU Cross Sections from Heavy Ion Cross Sections." IEEE Transactions on Nuclear Science 53, no. 6 (December 2006): 3336–42. http://dx.doi.org/10.1109/tns.2006.883851.

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27

Anwar, Naveed, and Mohammad Qaasim. "Parametric Study of Reinforced Concrete Column Cross-Section for Strength and Ductility." Key Engineering Materials 400-402 (October 2008): 269–74. http://dx.doi.org/10.4028/www.scientific.net/kem.400-402.269.

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Several parameters and corresponding performance of reinforced concrete column cross-sections of different shapes (square, rectangular, circular, T-shape, I-shape, cross-shape, L-shape and C-shape) under various loading conditions have been studied in order to determine the suitable and optimum cross-sections for strength and ductility. In each cross-section shape, parameters include compressive strength of concrete (f’c), tensile strength of steel (fy), steel ratio (As/Ag), and angle of bending. In order to demonstrate the behavior and performance of the sections in terms of strength and ductility, CSISectionBuilder software was used to define the stress-strain curve for concrete and steel and then compute the moment-curvature relationship for each section. Considering different sections, the number of parameters in every section and various loading conditions, a total of around 1,800 sections were analyzed. The comparison procedures started within each section shape, and then across different sections in order to determine the most suitable cross-section for strength and ductility. Results of the study are deemed very useful in the system selection and preliminary design of important structures such as buildings with complicated geometry and high architectural demand including bridge piers and hydraulic structures.
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28

Carragher, Bridget, David A. Bluemke, Cathy E. Frantz, and Michael J. Potel. "Cross-Sectional Reconstructions of Sickle Cell Hemoglobin Macrofibers." Proceedings, annual meeting, Electron Microscopy Society of America 43 (August 1985): 310–11. http://dx.doi.org/10.1017/s0424820100118424.

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We have succeeded in performing two-dimensional cross sectional image reconstructions of sickle cell hemoglobin (HbS) macrofibers. Macrofibers are long helical structures which are intermediates in the crystallization of deoxygenated sickle cell hemoglobin at low pH. Earlier work has established that macrofibers are aggregates of Wishner-Love double strands which consist of 2 half-staggered HbS molecules repeating every 64 A in the axial direction. Thin sections of embedded aggregating macrofiber cross sections reveal a dumbbell like pattern of double strands (Figure 2a,b) that is similar to the a-axis projection of the crystal structure. Approximately 5 rows with 10 double strands per row were identified in the cross section, but structural features in the thin sections were obscured by an approximately 15 degree rotational blur due to the finite thickness (400 A) of the helical section, the ill defined boundaries of the section due to uneven staining, and apparent particle damage. These structural features have now been resolved in reconstructed cross sections obtained using a real space filtered back projection algorithm.
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29

Liu, X., K. Chance, C. E. Sioris, and T. P. Kurosu. "Impact of using different ozone cross sections on ozone profile retrievals from Global Ozone Monitoring Experiment (GOME) ultraviolet measurements." Atmospheric Chemistry and Physics Discussions 7, no. 1 (January 19, 2007): 971–93. http://dx.doi.org/10.5194/acpd-7-971-2007.

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Abstract. We investigate the effect of using three different cross section data sets on ozone profile retrievals from Global Ozone Monitoring Experiment (GOME) ultraviolet measurements (289–307 nm, 326–337 nm). These include Bass-Paur, Brion, and GOME flight model cross sections (references below). Using different cross sections can significantly affect the retrievals, by up to 12 Dobson Units (DU, 1 DU=2.69×1016 molecules cm−2) in total column ozone, up to 10 DU in tropospheric column ozone, and up to 100% in retrieved ozone values for individual atmospheric layers. Compared to using the Bass-Paur and GOME flight model cross sections, using the Brion cross sections not only reduces fitting residuals by 15–60% in the Huggins bands, but also improves retrievals, especially in the troposphere, as seen from validation against ozonesonde measurements. Therefore, we recommend using the Brion cross section for ozone profile retrievals from ultraviolet measurements. The total column ozone retrieved using the GOME flight model cross sections is systematically lower, by 7–10 DU, than that retrieved using the Brion and Bass-Paur cross sections and is also systematically lower than Total Ozone Mapping Spectrometer (TOMS) observations. This study demonstrates the need for improved ozone cross section measurements in the ultraviolet to improve profile retrievals of this key atmospheric constituent.
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30

Liu, X., K. Chance, C. E. Sioris, and T. P. Kurosu. "Impact of using different ozone cross sections on ozone profile retrievals from Global Ozone Monitoring Experiment (GOME) ultraviolet measurements." Atmospheric Chemistry and Physics 7, no. 13 (July 6, 2007): 3571–78. http://dx.doi.org/10.5194/acp-7-3571-2007.

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Abstract. We investigate the effect of using three different cross section data sets on ozone profile retrievals from Global Ozone Monitoring Experiment (GOME) ultraviolet measurements (289–307 nm, 326–337 nm). These include Bass-Paur, Brion, and GOME flight model cross sections (references below). Using different cross sections can significantly affect the retrievals, by up to 12 Dobson Units (DU, 1 DU=2.69×1016 molecules cm−2) in total column ozone, up to 10 DU in tropospheric column ozone, and up to 100% in retrieved ozone values for individual atmospheric layers. Compared to using the Bass-Paur and GOME flight model cross sections, using the Brion cross sections not only reduces fitting residuals by 15–60% in the Huggins bands, but also improves retrievals, especially in the troposphere, as seen from validation against ozonesonde measurements. Therefore, we recommend using the Brion cross section for ozone profile retrievals from ultraviolet measurements. The total column ozone retrieved using the GOME flight model cross sections is systematically lower, by 7–10 DU, than that retrieved using the Brion and Bass-Paur cross sections and is also systematically lower than Total Ozone Mapping Spectrometer (TOMS) observations. This study demonstrates the need for improved ozone cross section measurements in the ultraviolet to improve profile retrievals of this key atmospheric constituent.
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31

Weiss, S., M. C. Zimmerman, R. D. Harten, F. G. Alberta, and A. Meunier. "The Acoustic and Structural Properties of the Human Femur." Journal of Biomechanical Engineering 120, no. 1 (February 1, 1998): 71–76. http://dx.doi.org/10.1115/1.2834309.

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This study evaluates the variations in the acoustic properties of the human femur at ten evenly spaced locations along its length, as well as differences that exist within given transverse sections. Six pairs of human femora, three male and three female, were sectioned, ground, and polished, and scanned with a microprocessor-driven scanning acoustic microscope. Images with a resolution of approximately 140 μm were used to calculate the average acoustic impedances for each transverse cross section and each quadrant within a cross section. The mean acoustic impedance for all the cross sections was 7.69 ± 0.18 Mrayls. Variations were observed among the cross sections, and the central sections (4–7) had values that were statistically greater than the other more distal and proximal sections. Within the cross sections, the posterior quadrant had a lower average acoustic impedance compared to the other quadrants and this was statistically significant (Tukey’s multiple comparison test). The cross sections were further analyzed to determine several geometric parameters including the principal moments of inertia, polar moment of inertia, and the biomechanical shape index. The product of the acoustic impedance and the maximum moment of inertia provided a result that attempted to account for the acoustic property variation and the change in shape at the different section locations.
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32

Chehade, W., V. Gorshelev, A. Serdyuchenko, J. P. Burrows, and M. Weber. "Revised temperature dependent ozone absorption cross section spectra (Bogumil et al.) measured with the sciamachy satellite spectrometer." Atmospheric Measurement Techniques Discussions 6, no. 2 (March 8, 2013): 2449–81. http://dx.doi.org/10.5194/amtd-6-2449-2013.

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Abstract. Ozone absorption cross section spectra and other trace gases had been measured using the Scanning Imaging Absorption spectroMeter for Atmospheric ChartograpHY (SCIAMACHY) satellite instrument at relevant atmospheric conditions. The measured cross sections were relative cross sections and were converted to absolute values using published data. Using the SCIAMACHY's FM cross sections as published by Bogumil et al. (2003) in the SCIAMACHY retrievals of total ozone leads to an overestimation in the total ozone by 5% compared to collocated GOME data. This work presents the procedures followed to correct the ozone cross section data as published in Bogumil et al. (2003) starting from original raw data (optical density spectra) from the original measurements. The revised data agrees well within 3% with other published ozone cross-sections and preserves the correct temperature dependence in the Hartley, Huggins, Chappuis and Wolf bands. SCIAMACHY's total ozone columns retrieved using the revised cross section data are shown to be within 1% compared to the ozone amounts retrieved routinely from SCIAMACHY.
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33

Gibson, Nathan A., and Steven J. Douglass. "INTERPOLATION OF THE DILUTION GRID IN THE BENGAL CODE." EPJ Web of Conferences 247 (2021): 03011. http://dx.doi.org/10.1051/epjconf/202124703011.

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In the implementation of the equivalence-in-dilution self-shielding method, multigroup cross sections as a function of the background cross section (i.e., the dilution) are needed. The background cross section of a particular nuclide in a particular material is determined iteratively based on geometry and material composition, resulting in a large number of cross section look-ups and a continuously varying dilution as the independent variable. Typically, multigroup cross sections are interpolated based on a reference grid of a set of dilution values and corresponding cross sections. The selection of this grid and the interpolant used between the grid are not well-documented in the literature, and so the approach used by the Bengal code is of note to the technical community. This work compares the interpolation scheme of the legacy code TRANSX to a newly developed interpolation scheme based on cubic Hermite splines, both by looking at the relative error in generated cross sections and by assessing the impact on a simple reactor simulation.
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34

Camarda, H. S., F. S. Dietrich, and T. W. Phillips. "Microscopic optical-model calculations of neutron total cross sections and cross section differences." Physical Review C 39, no. 5 (May 1, 1989): 1725–29. http://dx.doi.org/10.1103/physrevc.39.1725.

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35

Koreň, Milan, Milan Hunčaga, Juliana Chudá, Martin Mokroš, and Peter Surový. "The Influence of Cross-Section Thickness on Diameter at Breast Height Estimation from Point Cloud." ISPRS International Journal of Geo-Information 9, no. 9 (August 21, 2020): 495. http://dx.doi.org/10.3390/ijgi9090495.

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Circle-fitting methods are commonly used to estimate diameter at breast height (DBH) of trees from horizontal cross-section of point clouds. In this paper, we addressed the problem of cross-section thickness optimization regarding DBH estimation bias and accuracy. DBH of 121 European beeches (Fagus sylvatica L.) and 43 Sessile oaks (Quercus petraea (Matt.) Liebl.) was estimated from cross-sections with thicknesses ranging from 1 to 100 cm. The impact of cross-section thickness on the bias, standard error, and accuracy of DBH estimation was statistically significant. However, the biases, standard errors, and accuracies of DBH estimation were not significantly different among 1–10-cm cross-sections, except for oak DBH estimation accuracy from an 8-cm cross-section. DBH estimations from 10–100-cm cross-sections were considerably different. These results provide insight to the influence of cross-section thickness on DBH estimation by circle-fitting methods, which is beneficial for point cloud data acquisition planning and processing. The optimal setting of cross-section thickness facilitates point cloud processing and DBH estimation by circle-fitting algorithms.
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36

BOURRELY, C., J. SOFFER, and TAI TSUN WU. "γγ TOTAL CROSS-SECTION AT HIGH ENERGIES." Modern Physics Letters A 15, no. 01 (January 10, 2000): 9–13. http://dx.doi.org/10.1142/s0217732300000037.

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We show that the rising total cross-sections σ(γγ→ hadrons) recently observed by the L3 and OPAL collaborations at LEP are fully consistent with the impact-picture for high-energy scattering. The impact picture is then used to predict this γγ total cross-section at higher energies, and confirm the universal increase of total cross-sections including those of pp, [Formula: see text] and γp.
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37

Wilson, James F. "Smooth Mixed Geometry Profiles of Nozzles and Transition Ducts." Journal of Mechanical Design 127, no. 6 (January 29, 2005): 1211–13. http://dx.doi.org/10.1115/1.1913704.

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Parametric equations are derived that characterize smooth surface profiles for two general classes of nozzles and nonbranching transition ducts: straight sections for axial flow and curved sections (elbows) for in-plane or out-of-plane flow. For each profile, the terminal cross sections are specified as rectangular, elliptical, circular, or a combination of those shapes. At each terminal and in line with the flow, the displacement, slope, and curvature with its respective intersecting uniform section is maintained. Included is a design example of a 90deg elbow duct whose cross section remains constant between terminals of elliptical and circular cross sections.
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38

Fazely, A. R. "Prime–index parametrization for total neutrino-nucleon cross sections and pp cross sections." Journal of Physics G: Nuclear and Particle Physics 46, no. 12 (October 22, 2019): 125003. http://dx.doi.org/10.1088/1361-6471/ab3d20.

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39

Chehade, W., V. Gorshelev, A. Serdyuchenko, J. P. Burrows, and M. Weber. "Revised temperature-dependent ozone absorption cross-section spectra (Bogumil et al.) measured with the SCIAMACHY satellite spectrometer." Atmospheric Measurement Techniques 6, no. 11 (November 8, 2013): 3055–65. http://dx.doi.org/10.5194/amt-6-3055-2013.

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Abstract. Absorption cross-section spectra for ozone and other trace gases had been measured using the Scanning Imaging Absorption spectroMeter for Atmospheric CHartographY (SCIAMACHY) satellite instrument at relevant atmospheric conditions. The measured cross sections were relative cross sections and were converted to absolute values using published data. Using SCIAMACHY's FM cross sections as published by Bogumil et al. (2003) in the SCIAMACHY retrievals of total ozone leads to an overestimation in the total ozone by 5% compared to collocated GOME data. This work presents the procedures followed to correct the ozone cross-section data starting from original raw data (optical density spectra). The quality of the revised temperature-dependent ozone absorption cross sections is investigated over SCIAMACHY's entire spectral range. The revised data agree well within 3% with other published ozone cross sections and preserve the correct temperature dependence in the Hartley, Huggins, Chappuis and Wulf bands as displayed by the literature data. SCIAMACHY's total ozone columns retrieved using the revised cross-section data are shown to be within 1% compared to the ozone amounts retrieved routinely from SCIAMACHY, which uses Bogumil et al. (2003) data but adjusted with a scaling factor of 5.3% and a wavelength shift of 0.08 nm.
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40

CRNKOVIC, JASON D. "e+e- HADRON PRODUCTION CROSS SECTIONS AT BELLE." International Journal of Modern Physics: Conference Series 35 (January 2014): 1460407. http://dx.doi.org/10.1142/s2010194514604074.

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A number of production cross sections for electron-positron annihilation to a hadronic final state have been measured using the Belle dataset, which is possible given the general purpose design of the Belle detector and its large solid-angle coverage. The cross section measurements predominantly fall above 3 GeV, which still leaves the opportunity for using the dataset to systematically measure cross sections below 3 GeV. These low-energy cross sections are important for improving the precision of the Standard Model prediction for the muon anomalous magnetic moment.
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41

Merlet, C., X. Llovet, S. Segui, J. M. Fernández-Varea, and F. Salvat. "Ionization Cross Sections for Quantitative Electron Probe Microanalysis." Microscopy and Microanalysis 7, S2 (August 2001): 672–73. http://dx.doi.org/10.1017/s1431927600029433.

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Quantitative procedures in electron probe microanalysis (EPMA) require the knowledge of various atomic parameters, the most fundamental of which is the ionization cross section. A number of semi-empirical, approximate analytical formulas have been proposed to calculate the ionization cross section. The simplicity of these formulas makes them suitable for quantitative EPMA procedures. However, it is difficult to assess their reliability because of the lack of accurate experimental data. Indeed, inspection of currently available data reveals that they are still scarce for many elements and, when they are available, one usually finds significant discrepancies between data from different authors. Fortunately, the inaccuracies in the semi-empirical cross section formulas used in EPMA have only a small effect on the analytical results when standards are used. Nonetheless, in quantitative EPMA studies at low overvoltages or using standardless methods, the evaluated compositions largely depend on the adopted ionization cross sections and, therefore, knowledge of accurate ionization cross sections is a requisite for the development of improved quantification methods.
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42

Meyerhof, W. E., G. Laricchia, J. Moxom, J. W. Humberston, and M. S. T. Watts. "Positron scattering on atoms and molecules near the positronium threshold." Canadian Journal of Physics 74, no. 7-8 (July 1, 1996): 427–33. http://dx.doi.org/10.1139/p96-061.

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Effects found in the total and elastic-scattering cross sections of positrons on atoms and molecules near the positronium (Ps) formation threshold are examined on the basis of R-matrix theory. In the case of atomic targets, the energy, dependence of the Ps-production cross section yields the dominant angular momentum of the outgoing Ps near threshold. The predicted effects agree semiquantitatively with experimental elastic and total cross sections. The predictions suggest that Wigner cusps in the elastic-scattering cross section should be very small for He targets and largest for Xe targets. For molecules, the variability of threshold effects in the total cross section suggests that this is caused by variable threshold effects in the nonelastic cross sections. Using three-channel R-matrix theory, the effect is illustrated for a H2 target.
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43

Stodolsky, L. "Highest energy proton–nucleus cross-sections." Modern Physics Letters A 33, no. 40 (December 28, 2018): 1850242. http://dx.doi.org/10.1142/s0217732318502425.

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The description of very high energy proton–proton cross-sections in terms of a “black disc” with an “edge” allows a simple generalization to highest energy proton–nucleus cross-sections. This results in a leading ln2W term and a ln W term whose coefficient depends linearly on the radius of the nucleus (W the c.m. energy). The necessary parameters are determined from the fits to p–p data. Since the coefficient of the ln W term is rather large, it is doubtful that the regime of ln2W dominance can be reached with available energies in accelerators or cosmic rays. However, the ln W term can be relevant for highest energy cosmic rays in the atmosphere, where a large increase for the cross-section on nitrogen is expected. Tests of the theory should be possible by studying the coefficient of ln W at p-nucleus colliders.
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44

Soa, Dang Van, and Tran Dinh Tham. "Production Cross Sections of Axion in a Static Electromagnetic Field." Communications in Physics 23, no. 1 (April 15, 2013): 21. http://dx.doi.org/10.15625/0868-3166/23/1/897.

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Photon - axion conversions in staticelectromagnetic fields of the size \(a\times b \times c\) areconsidered in detail by the Feynman diagram methods. Thedifferential cross sections are presented and the numericalevaluations of the total cross section are given. Our result showsthat the conversion cross-sections in the electric field are quitesmall, while in the strong magnetic field, the cross-sections are much enhanced, which can be measurable in current experiments.
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45

Zhang, Junfeng, Bo Li, Anqi Li, and Shiyun Pang. "Critical Stress Determination of Local and Distortional Buckling of Lipped Angle Columns under Axial Compression." Buildings 12, no. 6 (May 25, 2022): 712. http://dx.doi.org/10.3390/buildings12060712.

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In recent years, cold-formed steel has been widely used in prefabricated steel structures, and the common cross-section forms are mainly complex lipped angle sections. However, there is a lack of design guidance for such a cross-section due to the complex geometric property. The restraint between adjacent plates cannot be considered proper for the traditional analytical method. Therefore, it is particularly important to study the stability bearing capacity of angle sections with complex edges under axial compression. In this paper, the finite strip software (CUFSM5) was used to analyze the critical stress of 1296 different angle sections under axial compression. The deformation diagram and the critical stress of elastic buckling were obtained. Considering the restraint between adjacent plates, the formula for predicting the critical stress of elastic local buckling of complex lipped angle sections was proposed and verified. Further, the critical stress of elastic distortional buckling of 918 complex lipped angle sections was analyzed by CUFSM. It was found that the cross-sections can be divided into two categories: cross-section without distortional point and cross-section with distortional point. It was found that the critical stress of elastic local buckling of the angle steel section can be significantly improved by the complex edge. Additionally, the critical stress of elastic local buckling of the section is less affected by the edge size for the complex edge section. The accuracy of the Hancock method for calculating the critical stress of elastic distortional buckling of complex lipped angle sections with distortional points was verified. The presented research can provide useful guidelines for designing cold-formed steel angle columns.
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46

Schwienhorst, Reinhard. "Top cross-sections and single top." International Journal of Modern Physics: Conference Series 31 (January 2014): 1460277. http://dx.doi.org/10.1142/s2010194514602774.

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This paper summarizes top quark cross-section measurements at the Tevatron and the LHC. Top quark pair production cross-sections have been measured in all decay modes by the ATLAS and CMS collaborations at the LHC and by the CDF and D0 collaborations at the Tevatron. Single top quark production has been observed at both the Tevatron and the LHC. The t-channel and associated Wt production modes have been observed at the LHC and evidence for s-channel production has been reported by the Tevatron collaborations.
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47

Norbury, John W., Frank Dick, Ryan B. Norman, and Khin Maung Maung. "Cross-sections from scalar field theory." Canadian Journal of Physics 88, no. 3 (March 2010): 149–56. http://dx.doi.org/10.1139/p10-002.

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A scalar quantum field theory method is used to calculate differential and total cross-sections for elastic and inelastic scattering in proton–proton collisions. When Mandelstam variables are used, the resulting formulas are simple and can be written in closed form. They display features very typical of elastic and inelastic scattering. The results show good agreement with total cross-section data for η meson production. Thus for this particular example, a simple scalar model can be used in place of a more complicated field theory with spin.
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48

Golyatina, Rusudan, and Sergei Maiorov. "Cross sections of electron collisions with noble gases atoms." Applied Physics, no. 3 (July 26, 2021): 11–16. http://dx.doi.org/10.51368/1996-0948-2021-3-11-16.

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Consideration is given to the analysis of data on the cross sections of elastic and inelastic col-lisions of electrons with noble gas atoms. The transport (diffusion) cross section, the excita-tion and ionization cross sections are studied. For the selected sets of experimental and theo-retical data, optimal analytical formulas are found and approximation coefficients are select-ed for them. The obtained semi-empirical formulas allow us to reproduce the cross section values in a wide range of collision energies from 0.001 to 10000 eV with an accuracy of sev-eral percent.
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49

Pankauskyte, Deimante, Jolanta Valciukiene, Indrius Kuklys, and Lina Kukliene. "Study of the Natural Heritage Condition of the Kursiu Nerija National Park Using Lidar Technology (Case Study of Agila Dune)." Baltic Surveying 10 (June 1, 2019): 36–42. http://dx.doi.org/10.22616/j.balticsurveying.2019.005.

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Analysis of the condition of the Agila dune is presented in this Article. The analysis is based on data collected during accurate geodetic measurements using LIDAR technology. The current state of the Agila dune was compared to the data of the previous year's LIDAR points in order to ensure the reliability and value of the research. In the course of the study, eleven cross sections were compared by height differences with previous year‘s measurements. The condition of the Agila dune was found to be the worst in three cross sections. First cross section‘s erosion measured at 13,98 meters, erosion in the fifth cross section – 9.90 meters, and erosion in the eighth cross section - 11.34 meters. The main reasons for the deterioration of the natural values of the Kursiu Nerija National Park are climate, wind, high visitor flows and the persistent failure to carry out comprehensive research. Therefore, in order to preserve these unique natural values, it is important to collect large-scale and high-precision data on the status of these values, to systematize, analyze and take appropriate protective measures.
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50

Chen, Jia, Xuansheng Cheng, Shangrong Qi, Huan Feng, Liang Ma, and Lijun Gong. "Optimal Sections of Tunnels’ Cross Sections with Different Overburdens." Open Civil Engineering Journal 11, no. 1 (September 21, 2017): 714–25. http://dx.doi.org/10.2174/1874149501711010714.

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Introduction: In order to obtain the optimal section for super-large cross-section loess tunnels with different overburdens, the ANSYS software is applied in this paper. Methods: Based on the calculation nonconvergence criteria and Mohr-Coulomb criteria, the static stability of loess tunnel section is analyzed by the finite element static strength reduction method. According to the safety factors of rock mass surrounding tunnel in the case of critical failure, the safety factors of super-large cross-section loess tunnel is discussed with different section forms (rectangular cross-section, circular cross-section, horseshoe cross-section and curve wall cross-section) and different overburdens under gravity. Results and Conclusion: The results show that the safety factors of circular section and curve wall cross-section are bigger than the safety factors of the horseshoe cross-section and rectangular cross-section. The curve wall cross-section is considered to be the optimal section because of the fact that the force around the vault and the arch bottom is uniform and symmetrical, and the maximum vertical displacement of the lining is small. The horseshoe cross-section should be avoided in the loess tunnel, because the safety factor of horseshoe cross-section is so small, and stress concentration phenomenon is obvious in the case of deep buried tunnel.
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