Journal articles on the topic 'Trace analysis'

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1

Shi, Yongjie, and Chengjie Yu. "Trace and inverse trace of Steklov eigenvalues." Journal of Differential Equations 261, no. 3 (August 2016): 2026–40. http://dx.doi.org/10.1016/j.jde.2016.04.023.

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2

Abubaker, M. M., L. S. Bark, A. K. Davies, F. Z. Shtewi, Colin G. Taylor, Giles Kay, Duangjai Nacapricha, et al. "Trace analysis." Analytical Proceedings 30, no. 11 (1993): 426. http://dx.doi.org/10.1039/ap9933000426.

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3

Murray, Royce. "Trace of a Trace of a Trace (ANALYSIS)." Analytical Chemistry 63, no. 19 (October 1991): 921a. http://dx.doi.org/10.1021/ac00019a600.

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4

LANGEVINE, LUDOVIC, and MIREILLE DUCASSÉ. "Design and implementation of a tracer driver: Easy and efficient dynamic analyses of constraint logic programs." Theory and Practice of Logic Programming 8, no. 5-6 (November 2008): 581–609. http://dx.doi.org/10.1017/s147106840800344x.

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AbstractTracers provide users with useful information about program executions. In this article, we propose a “tracer driver”. From a single tracer, it provides a powerful front-end enabling multiple dynamic analysis tools to be easily implemented, while limiting the overhead of the trace generation. The relevant execution events are specified by flexible event patterns and a large variety of trace data can be given either systematically or “on demand”. The proposed tracer driver has been designed in the context of constraint logic programming (CLP); experiments have been made within GNU-Prolog. Execution views provided by existing tools have been easily emulated with a negligible overhead. Experimental measures show that the flexibility and power of the described architecture lead to good performance. The tracer driver overhead is inversely proportional to the average time between two traced events. Whereas the principles of the tracer driver are independent of the traced programming language, it is best suited for high-level languages, such as CLP, where each traced execution event encompasses numerous low-level execution steps. Furthermore, CLP is especially hard to debug. The current environments do not provide all the useful dynamic analysis tools. They can significantly benefit from our tracer driver which enables dynamic analyses to be integrated at a very low cost.
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5

Shamberger, Raymond J. "Trace Metal Analysis." Cancer Investigation 3, no. 3 (January 1985): 271–83. http://dx.doi.org/10.3109/07357908509039788.

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6

Hirokawa, Kichinosuke. "Ultra Trace Analysis." Materia Japan 33, no. 1 (1994): 81–83. http://dx.doi.org/10.2320/materia.33.81.

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7

Aldrich, D. S., S. J. Borchert, A. Abe, and J. E. Freeman. "Pharmaceutical trace analysis." Journal of Research of the National Bureau of Standards 93, no. 3 (May 1988): 242. http://dx.doi.org/10.6028/jres.093.031.

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8

Hasiotis, Stephen T. "Trace Fossil Analysis." Eos, Transactions American Geophysical Union 90, no. 20 (2009): 177. http://dx.doi.org/10.1029/2009eo200006.

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9

Worsfold, P. J. "Organic Trace Analysis." Analytica Chimica Acta 181 (1986): 296. http://dx.doi.org/10.1016/s0003-2670(00)85255-1.

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10

Bakker, Eric, Detlef Günther, and Ernö Pretsch. "Trace-metal analysis." TrAC Trends in Analytical Chemistry 24, no. 3 (March 2005): 170–71. http://dx.doi.org/10.1016/j.trac.2005.01.004.

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11

Novák, Josef. "Organic trace analysis." Journal of Chromatography A 347 (January 1985): 458–59. http://dx.doi.org/10.1016/s0021-9673(01)95524-4.

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12

Smyth, W. Franklin. "Organic trace analysis." TrAC Trends in Analytical Chemistry 4, no. 5 (May 1985): xxii—xxiv. http://dx.doi.org/10.1016/0165-9936(85)87016-3.

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13

Koskela, Pekka, Khanh Ngoc Nguyen, and Zhuang Wang. "Trace Operators on Regular Trees." Analysis and Geometry in Metric Spaces 8, no. 1 (January 1, 2020): 396–409. http://dx.doi.org/10.1515/agms-2020-0117.

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Abstract We consider different notions of boundary traces for functions in Sobolev spaces defined on regular trees and show that the almost everywhere existence of these traces is independent of the chosen definition of a trace.
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14

Frey, R. W., and R. Gold Ring. "Marine event beds and recolonization surfaces as revealed by trace fossil analysis." Geological Magazine 129, no. 3 (May 1992): 325–35. http://dx.doi.org/10.1017/s0016756800019269.

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AbstractTurbidites and tempestites exhibit characteristic distributions of trace fossils. To gain maximum advantage of the sedimentological and palaeoecological significance of these traces, an attempt should be made to relate each trace to the associated colonization surface. This approach allows traces initiated at the normal top of an event bed to be distinguished from traces that subsequently passed into the bed from a higher colonization level or were initiated on the eroded surface of the bed.
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15

Rahman, S. M. "Constraint of Complex Trace Analysis for Seismic Data Processing." Journal of Scientific Research 3, no. 1 (December 19, 2010): 65. http://dx.doi.org/10.3329/jsr.v3i1.2106.

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Time frequency representation is a powerful tool for studying seismic reflection patterns and can thus provide useful information for stratification of the subsurface. Complex trace analysis, one of the geophysical techniques, is being employed for the time frequency analysis of seismic traces as analytic signal for the interpretation of seismic data. The applicability of the complex trace analysis in seismic data processing has been studied in this paper with few synthetic signals. The signals are analyzed with complex trace analysis for time frequency representations and compared with the spectral energy distributions. It is shown that complex trace analysis is not suitable for accurate estimation of time frequency representation of the signals having simultaneous frequencies.Keywords: Time frequency; Complex trace; Analytic signal; Spectral analysis.© 2011 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.doi:10.3329/jsr.v3i1.2106 J. Sci. Res. 3 (1), 65-73 (2011)
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16

O'NEIL, GRETCHEN R., LYDIA S. TACKETT, and MICHAEL B. MEYER. "THE ROLE OF SURFICIAL BIOTURBATION IN THE LATEST EDIACARAN: A QUANTITATIVE ANALYSIS OF TRACE FOSSIL INTENSITY IN THE TERMINAL EDIACARAN–LOWER CAMBRIAN OF CALIFORNIA." PALAIOS 37, no. 12 (December 29, 2022): 703–17. http://dx.doi.org/10.2110/palo.2021.050.

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ABSTRACT Bioturbating activities have played a vital role in shaping the marine ecosystem throughout metazoan history, influencing the abundance and preservation potential of body fossil-producing taxa and driving major environmental and geochemical changes. The earliest trace making behaviors arose during the late Ediacaran Period (∼ 560–541 Ma), disrupting the substrate previously occupied by dominantly sessile organisms. Simple dwelling and grazing behaviors exploited the organic-rich matgrounds, expanding into the underutilized microbial mat ecosystem. In the western United States, trace assemblages from Ediacaran–Cambrian boundary-spanning deposits document a thriving trace-maker ecosystem. One boundary-spanning deposit in this region, the lower member of the Wood Canyon Formation, crops out along the California-Nevada boundary and contains both trace and body fossil assemblages. The Chicago Pass section of the lower Wood Canyon Formation contains a suite of dominantly simple Ediacaran traces, which become commonplace in the upper part of the stratigraphic section, documenting the onset of prevalent trace-making behaviors in this region. While traces have been previously described from this locality, the addition of the complex trace Lamonte trevallis and quantification of trace fossil density of simple Ediacaran traces provides a more comprehensive ichnological view of the Chicago Pass section. Although Chicago Pass does not yield abundant tubicolous body fossils, as are found elsewhere in the region, the low diversity ichnoassemblages document both burgeoning surficial trace making groups and mat-targeted mining in the latest Ediacaran. The behaviors present at Chicago Pass are similar to those of the Dengying Formation in South China, and highlight the need for petrographic-based trace fossil studies. Additionally, studies of Nama Group trace fossils of the same age from Namibia report higher diversity and complexity in trace-making activities than what has been observed at Chicago Pass, but with similar, low Ediacara biota body fossil diversity. If Ediacara biota diversity is anticorrelated with trace-making behaviors, Chicago Pass represents a low-complexity end-member of the same phenomenon observed in Namibia. The effect of surface sediment disruption on the sessile Ediacaran communities may have been decoupled from complexity of the traces, more so influenced by the presence of general trace-making behaviors in aggregate, including simple traces.
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17

Van Hoang, Nguyen. "Some trace Hardy type inequalities and trace Hardy–Sobolev–Maz'ya type inequalities." Journal of Functional Analysis 270, no. 11 (June 2016): 4117–51. http://dx.doi.org/10.1016/j.jfa.2016.03.012.

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18

Muhammad Akbar, Muhammad Akbar, Muhammad Abdul Qadir Muhammad Abdul Qadir, Ayoub Rashid Ayoub Rashid, Abrar Hussain Abrar Hussain, and Khalid Bhatti and Ahmad Adnan Khalid Bhatti and Ahmad Adnan. "Proximate and Trace Metal Analysis of Pakistani Coal." Journal of the chemical society of pakistan 41, no. 3 (2019): 555. http://dx.doi.org/10.52568/000757/jcsp/41.03.2019.

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Pakistan is facing severe energy crisis with depleting water and gas reservoirs. Pakistan has large reserves of coal found exclusively in Sindh, Baluchistan and Punjab, but this coal is regarded as low rank (Lignite grade). Present work aimed at the determination of the quality of coal by Proximate and trace metal analysis. Three coalfields including Dukki (Baluchistan), Chamalang (Baluchistan) and Salt range (Punjab) were selected for study. Proximate analysis and calorific values of coal samples were carried out using reported protocols and trace metal analysis including Co, Cr, Ni, Pb, Zn, Cd and Cu was done by ICP employing standard procedures. Results suggested that the coal belonging to these areas is of sub-bituminous type. Chamalang coal of Baluchistan was found to be of better quality than Dukki and Salt Range coal.
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19

Zhou, Yang, and Cyrille Artho. "TC4JPF." ACM SIGSOFT Software Engineering Notes 46, no. 3 (July 14, 2021): 42–46. http://dx.doi.org/10.1145/3468744.3468757.

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Java Path nder (JPF) is a very versatile program analysis tool, but understanding the error traces it generates is challenging. Visualizing traces can facilitate their understanding. Earlier attempts to visualize traces have resulted in specialized tools that do not interoperate with other frameworks. We present TC4JPF, which builds on Eclipse Trace Compass and enables Trace Compass to visualize JPF traces. With TC4JPF, we leverage the scalability and capabilities of Trace Compass and provide the rst solution that visualizes JPF traces in a general-purpose trace visualization tool.
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20

Johansson, Lena, and Elis Holm. "Determination of trace-amounts 239Pu using fission track analysis." Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment 376, no. 2 (July 1996): 242–47. http://dx.doi.org/10.1016/0168-9002(96)00212-4.

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21

Shen, Wenjie, Yanping Wang, Yun Lin, Yang Li, Wen Jiang, and Wen Hong. "Range-Doppler Based Moving Target Image Trace Analysis Method in Circular SAR." Remote Sensing 15, no. 8 (April 14, 2023): 2073. http://dx.doi.org/10.3390/rs15082073.

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The single channel Circular Synthetic Aperture Radar (CSAR) has the advantage of continuous surveillance of a fixed scene of interest, which can provide high frame rate image sequences to detect ground moving targets. Recent image-sequence-based CSAR moving target detection methods utilize the fact that the target signal moves fast in the image sequence. Knowledge of the target’s image trace(moving trace in the image sequence, which is equal to a target signature’s morphology in a full aperture CSAR image) can help design better detection methods. However, previous signature morphology studies are based on linear track geometry assumptions, which cannot handle CSAR’s nonlinear track. Hence, this paper proposes a new image trace method based on the range-Doppler principle. The proposed method can deduct the exact analytic function of an arbitrary moving target’s image trace in CSAR. The method assumes radar operates in side-looking mode and that the target moves on the ground plane. It combines the range-Doppler equations(i.e., iso-range and iso-Doppler relation) and Cartesian transformation between the ground and radar coordinate system to obtain the parametric functions of the image trace. Based on the method, three types of target motion (including linear and nonlinear motion) are analyzed. The proposed method is validated with both simulated and real data.
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22

Valkov, I. A. "Traceological Analysis of Bone Artifacts in Archeology." Bulletin of Kemerovo State University 21, no. 3 (October 5, 2019): 574–84. http://dx.doi.org/10.21603/2078-8975-2019-21-3-574-584.

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The paper features the problems of traceological analysis of ancient artifacts made from animal bones. The exceptional importance of bone objects as an archaeological source cannot be overestimated. The authors studied Russian and foreign scientific literature and summarized their own experience of trace examination of bone artifacts from Bronze Age monuments of the forest-steppe Altai. The paper describes some methodological problems that arise during trace examination of archaeological bone collections. It studies the material, technological, functional, and taxonomic features of macro- and micro-surfaces of bone artifacts that make the examination different from analysis of stone artifacts and have to be taken into account. The leading factor is the raw material features of the bone. They cause an accelerated process of formation and destruction of traces on the surface of tools and products, the possibility of using bone material in various physical states, as well as the presence of deformations and traces of a natural (biological) nature. The authors challenge the thesis that the method applied to trace examination of stone objects can be transferred to bone tools and products. They declare that bone artifacts require specialized methods and techniques.
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23

Celes, Clayson, Azzedine Boukerche, and Antonio A. F. Loureiro. "Mobility Trace Analysis for Intelligent Vehicular Networks." ACM Computing Surveys 54, no. 3 (June 2021): 1–38. http://dx.doi.org/10.1145/3446679.

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Intelligent vehicular networks emerge as a promising technology to provide efficient data communication in transportation systems and smart cities. At the same time, the popularization of devices with attached sensors has allowed the obtaining of a large volume of data with spatiotemporal information from different entities. In this sense, we are faced with a large volume of vehicular mobility traces being recorded. Those traces provide unprecedented opportunities to understand the dynamics of vehicular mobility and provide data-driven solutions. In this article, we give an overview of the main publicly available vehicular mobility traces; then, we present the main issues for preprocessing these traces. Also, we present the methods used to characterize and model mobility data. Finally, we review existing proposals that apply the hidden knowledge extracted from the mobility trace for vehicular networks. This article provides a survey on studies that use vehicular mobility traces and provides a guideline for the proposition of data-driven solutions in the domain of vehicular networks. Moreover, we discuss open research problems and give some directions to undertake them.
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24

Hirokawa, Kichinosuke. "Limit of Trace Analysis." Materia Japan 35, no. 11 (1996): 1222–25. http://dx.doi.org/10.2320/materia.35.1222.

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25

Laitinen, H. A. "History of trace analysis." Journal of Research of the National Bureau of Standards 93, no. 3 (May 1988): 175. http://dx.doi.org/10.6028/jres.093.013.

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26

Hoffman, Kevin J., Patrick Eugster, and Suresh Jagannathan. "Semantics-aware trace analysis." ACM SIGPLAN Notices 44, no. 6 (May 28, 2009): 453–64. http://dx.doi.org/10.1145/1543135.1542527.

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27

Jercinovic, M. J., M. L. Williams, J. Allaz, and J. J. Donovan. "Trace analysis in EPMA." IOP Conference Series: Materials Science and Engineering 32 (March 7, 2012): 012012. http://dx.doi.org/10.1088/1757-899x/32/1/012012.

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28

Hockett, R. S. "Trace Analysis by TXRF." Advances in X-ray Analysis 38 (1994): 687–90. http://dx.doi.org/10.1154/s0376030800018401.

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Abstract Total reflection X-Ray FKiorescence (TXRF) originally was developed for trace analysis of small residues but has become a widespread method for measuring trace surface metal contamination on semiconductor substrates. It is estimated that approximately 100 TXRF instruments are in use in the semiconductor industry worldwide, and approximately half that for residue analysis in analytical laboratories. TXRF instrumentation is available today for reaching detection limits of the order of 109 atoms/cm2. This review emphasizes some of the more recent developments in TXRF for trace analysis, in particular with the use of synchrotron x-ray sources (SR-TXRF). There is some promise of reaching 107 atoms/cm2 detection limits for surface analysis of semiconductor substrates.
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29

Matsuzawa, Hitoshi, Naoki Nakayama, Ingrid L. Kwee, and Tsutomu Nakada. "Isotropic Component Trace Analysis." Journal of Neuroimaging 15, no. 3 (July 2005): 233–39. http://dx.doi.org/10.1111/j.1552-6569.2005.tb00315.x.

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30

Ducassé, Mireille, and Erwan Jahier. "Efficient Automated Trace Analysis." Electronic Notes in Theoretical Computer Science 55, no. 2 (October 2001): 118–33. http://dx.doi.org/10.1016/s1571-0661(04)00248-8.

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31

Schleich, Christine, and G�nter Henze. "Trace analysis of germanium." Fresenius' Journal of Analytical Chemistry 338, no. 2 (1990): 140–44. http://dx.doi.org/10.1007/bf00321876.

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32

Schleich, Christine, and G�nter Henze. "Trace analysis of germanium." Fresenius' Journal of Analytical Chemistry 338, no. 2 (1990): 145–48. http://dx.doi.org/10.1007/bf00321877.

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33

Harada, Ken-Ichi. "Trace analysis of microcystins." Phycologia 35, sup6 (November 1996): 36–41. http://dx.doi.org/10.2216/i0031-8884-35-6s-36.1.

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34

Edmonds, T. "Trace analysis, volume 2." Journal of Pharmaceutical and Biomedical Analysis 3, no. 1 (January 1985): 101. http://dx.doi.org/10.1016/0731-7085(85)80012-1.

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35

Hladnik, Milan, Matjaž Omladič, and Heydar Radjavi. "Trace-preserving homomorphisms of semigroups." Journal of Functional Analysis 204, no. 2 (November 2003): 269–92. http://dx.doi.org/10.1016/s0022-1236(03)00072-7.

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36

van Suijlekom, Walter D. "Perturbations and operator trace functions." Journal of Functional Analysis 260, no. 8 (April 2011): 2483–96. http://dx.doi.org/10.1016/j.jfa.2010.12.012.

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37

Chen, Tyler, and Eric Hallman. "Krylov-Aware Stochastic Trace Estimation." SIAM Journal on Matrix Analysis and Applications 44, no. 3 (August 18, 2023): 1218–44. http://dx.doi.org/10.1137/22m1494257.

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38

Watson, G. A. "Algorithms for Minimum Trace Factor Analysis." SIAM Journal on Matrix Analysis and Applications 13, no. 4 (October 1992): 1039–53. http://dx.doi.org/10.1137/0613062.

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39

Yang, Zeyu, Hongzhi Wu, Tania Archbold, Xindi Yin, and Wenyi Fan. "PSI-5 Intestinal responses and the determination of true total tract trace mineral digestibility and the endogenous losses in weanling pigs by the regression analysis technique." Journal of Animal Science 97, Supplement_3 (December 2019): 287–88. http://dx.doi.org/10.1093/jas/skz258.582.

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Abstract There is limited knowledge regarding trace mineral bioavailability in trace mineral supplements and common feed ingredients and trace mineral endogenous losses in pigs. The objectives of this study were to investigate intestinal responses and to determine true total tract trace mineral digestibility and the endogenous losses of trace minerals associated with corn and SBM based diets in weanling pigs by the regression analysis. Twenty-four crossbred barrows, with an average initial BW of 14 kg, were randomly assigned to 4 weanling pig diets with inclusion of titanium dioxide (0.30%) and a commercial trace mineral-vitamin premix at 0.125, 0.250, 0.375 and 0.500%, respectively, to result in 4 graded dietary levels of Cu, Zn, Fe, Mn and Se. The pigs were fed close to ad libitum for 11 d according to a randomized complete block design. The dietary inclusion did not affect (P > 0.05) growth performances, ileal and fecal DM digestibility, D-mannitol gut permeability and jejunal alkaline phosphatase kinetics. With the regression analysis, true total tract Cu, Zn, Fe, Mn and Se digestibility values (±SE; n = 23 or 24; P < 0.05) in the trace mineral-vitamin premix were determined to be 137.3±27.9, 40.5±15.4, 66.2±24.6, 94.3±21.6 and 96.6±2.8% vs. the corresponding values in the four weanling pig diets for Cu at 137.4±3.2, Zn at 40.4±3.1, Fe at 66.2±3.0, Mn at 94.2±3.8and Se at 96.2±0.8%, respectively. The total tract endogenous Cu, Zn, Fe, Mn and Se outputs (±SE)associated with the weanling pig diets were also determined (23.4±0.6, 9.2±2.7, 37.2±3.5, 19.4±1.0 and 0.07±0.003 mg/kg DMI diets; n = 23 or 24;P < 0.05). Our results have shown that the intestinal physiological functions and performances were not significantly affected in the weanling pigs fed on the diets with reduced gradient levels of a trace mineral-vitamin premix. Total tract true digestible trace mineral supply should be considered in swine diet formulation.
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40

Pengji, Zhai, and Kang Tiesheng. "Trace uranium analysis of various waters by fission track technique." International Journal of Radiation Applications and Instrumentation. Part D. Nuclear Tracks and Radiation Measurements 15, no. 1-4 (January 1988): 759–62. http://dx.doi.org/10.1016/1359-0189(88)90244-0.

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41

Côté, Mathieu, and Michel R. Dagenais. "Problem Detection in Real-Time Systems by Trace Analysis." Advances in Computer Engineering 2016 (January 6, 2016): 1–12. http://dx.doi.org/10.1155/2016/9467181.

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This paper focuses on the analysis of execution traces for real-time systems. Kernel tracing can provide useful information, without having to instrument the applications studied. However, the generated traces are often very large. The challenge is to retrieve only relevant data in order to find quickly complex or erratic real-time problems. We propose a new approach to help finding those problems. First, we provide a way to define the execution model of real-time tasks with the optional suggestions of a pattern discovery algorithm. Then, we show the resulting real-time jobs in a Comparison View, to highlight those that are problematic. Once some jobs that present irregularities are selected, different analyses are executed on the corresponding trace segments instead of the whole trace. This allows saving huge amount of time and execute more complex analyses. Our main contribution is to combine the critical path analysis with the scheduling information to detect scheduling problems. The efficiency of the proposed method is demonstrated with two test cases, where problems that were difficult to identify were found in a few minutes.
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42

An, Soojung, Suhri Kim, Sunghyun Jin, HanBit Kim, and HeeSeok Kim. "Single Trace Side Channel Analysis on NTRU Implementation." Applied Sciences 8, no. 11 (October 23, 2018): 2014. http://dx.doi.org/10.3390/app8112014.

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As researches on the quantum computer have progressed immensely, interests in post-quantum cryptography have greatly increased. NTRU is one of the well-known algorithms due to its practical key sizes and fast performance along with the resistance against the quantum adversary. Although NTRU has withstood various algebraic attacks, its side-channel resistance must also be considered for secure implementation. In this paper, we proposed the first single trace attack on NTRU. Previous side-channel attacks on NTRU used numerous power traces, which increase the attack complexity and limit the target algorithm. There are two versions of NTRU implementation published in succession. We demonstrated our attack on both implementations using a single power consumption trace obtained in the decryption phase. Furthermore, we propose a countermeasure to prevent the proposed attacks. Our countermeasure does not degrade in terms of performance.
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43

Cunanan, Jayson, and Yohei Tsutsui. "Trace Operators on Wiener Amalgam Spaces." Journal of Function Spaces 2016 (2016): 1–6. http://dx.doi.org/10.1155/2016/1710260.

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The paper deals with trace operators of Wiener amalgam spaces using frequency uniform decomposition operators and maximal inequalities, obtaining sharp results. Additionally, we provide the embedding between standard and anisotropic Wiener amalgam spaces.
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44

Acuña Valverde, Luis. "Trace asymptotics for fractional Schrödinger operators." Journal of Functional Analysis 266, no. 2 (January 2014): 514–59. http://dx.doi.org/10.1016/j.jfa.2013.10.021.

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45

Luecking, Daniel H. "Trace ideal criteria for Toeplitz operators." Journal of Functional Analysis 73, no. 2 (August 1987): 345–68. http://dx.doi.org/10.1016/0022-1236(87)90072-3.

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46

Kamoun, Nouri. "Représentations unitaires et opérateurs à trace." Journal of Functional Analysis 77, no. 2 (April 1988): 233–60. http://dx.doi.org/10.1016/0022-1236(88)90087-0.

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47

van den Berg, M. "Hardy Inequality and Weighted Heat Trace." Potential Analysis 30, no. 3 (December 10, 2008): 201–9. http://dx.doi.org/10.1007/s11118-008-9111-7.

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48

Park, Hyunchul, and Renming Song. "Trace Estimates for Relativistic Stable Processes." Potential Analysis 41, no. 4 (June 14, 2014): 1273–91. http://dx.doi.org/10.1007/s11118-014-9423-8.

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49

Neudecker, Heinz. "A matrix trace inequality." Journal of Mathematical Analysis and Applications 166, no. 1 (May 1992): 302–3. http://dx.doi.org/10.1016/0022-247x(92)90344-d.

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50

Flicker, Yuval Z., and David A. Kazhdan. "A simple trace formula." Journal d'Analyse Mathématique 50, no. 1 (December 1988): 189–200. http://dx.doi.org/10.1007/bf02796122.

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