Relevant bibliographies by topics / L-values

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'L-values'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "L-values"

1

AGASHE, AMOD. "SQUARENESS IN THE SPECIAL L-VALUE AND SPECIAL L-VALUES OF TWISTS." International Journal of Number Theory 06, no. 05 (2010): 1091–111. http://dx.doi.org/10.1142/s1793042110003393.

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Let N be a prime and let A be a quotient of J0(N) over Q associated to a newform such that the special L-value of A (at s = 1) is non-zero. Suppose that the algebraic part of the special L-value of A is divisible by an odd prime q such that q does not divide the numerator of [Formula: see text]. Then the Birch and Swinnerton-Dyer conjecture predicts that the q-adic valuations of the algebraic part of the special L-value of A and of the order of the Shafarevich–Tate group are both positive even numbers. Under a certain mod q non-vanishing hypothesis on special L-values of twists of A, we show t
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ARAKAWA, Tsuneo, and Masanobu KANEKO. "On multiple $L$ -values." Journal of the Mathematical Society of Japan 56, no. 4 (2004): 967–91. http://dx.doi.org/10.2969/jmsj/1190905444.

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Yoshida, Hiroyuki. "Cohomology and $L$ -values." Kyoto Journal of Mathematics 52, no. 2 (2012): 369–432. http://dx.doi.org/10.1215/21562261-1551003.

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Mourtada, Mariam, та V. Kumar Murty. "Distribution of values of L′/L(σ,χD)". Moscow Mathematical Journal 15, № 3 (2015): 497–509. http://dx.doi.org/10.17323/1609-4514-2015-15-3-497-509.

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Hatcher, Rhonda L. "Special Values of L-Series." Proceedings of the American Mathematical Society 114, no. 2 (1992): 337. http://dx.doi.org/10.2307/2159652.

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Moerman, Boaz. "L-values for conductor 32." Journal of Number Theory 234 (May 2022): 1–30. http://dx.doi.org/10.1016/j.jnt.2021.09.013.

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Hatcher, Rhonda L. "Special values of $L$-series." Proceedings of the American Mathematical Society 114, no. 2 (1992): 337. http://dx.doi.org/10.1090/s0002-9939-1992-1068124-1.

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Terhune, David. "Evaluation of double L-values." Journal of Number Theory 105, no. 2 (2004): 275–301. http://dx.doi.org/10.1016/j.jnt.2003.11.007.

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Plaggenborg, Stefan. "David L. Hoffmann, Stalinist values." Cahiers du monde russe 44, no. 44/4 (2003): 761–63. http://dx.doi.org/10.4000/monderusse.4124.

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Sasaki, Yoshitaka. "Zeta Mahler measures, multiple zeta values and L-values." International Journal of Number Theory 11, no. 07 (2015): 2239–46. http://dx.doi.org/10.1142/s1793042115501006.

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The zeta Mahler measure is the generating function of higher Mahler measures. In this article, explicit formulas of higher Mahler measures, and relations between higher Mahler measures and multiple zeta (star) values are showed by observing connections between zeta Mahler measures and the generating functions of multiple zeta (star) values. Additionally, connections between higher Mahler measures and Dirichlet L-values associated with primitive quadratic characters are discussed.
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Dissertations / Theses on the topic "L-values"

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Hamieh, Alia. "Special values of anticyclotomic l-functions." Thesis, University of British Columbia, 2013. http://hdl.handle.net/2429/44231.

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This thesis consists of four chapters and deals with two different problems which are both related to the broad topic of special values of anticyclotomic L-functions. In Chapter 3, we generalize some results of Vatsal on studying the special values of Rankin-Selberg L-functions in an anticyclotomic ℤ_p-extension. Let g be a cuspidal Hilbert modular form of parallel weight (2,...,2) and level N over a totally real field F, and let K/F be a totally imaginary quadratic extension of relative discriminant D. We study the l-adic valuation of the special values L(g,χ,½) as χ varies over the ring cl
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Perkins, Rudolph Bronson. "On Special Values of Pellarin’s L-series." The Ohio State University, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=osu1383827548.

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Van, Order Jeanine Marie. "p-adic L-functions for self-dual GL₂ Rankin- Selberg L-values." Thesis, University of Cambridge, 2015. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.709143.

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Ward, Thomas. "K1-congruences between L-values of elliptic curves." Thesis, University of Nottingham, 2009. http://eprints.nottingham.ac.uk/10766/.

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We study the L-values of an elliptic curve twisted by an Artin representation. Specifically, we consider the case in which the representation factors through a false Tate curve extension of Q. First, we consider a semistable elliptic curve E; we construct an integral-valued p-adic measure which interpolates the values the L-values of an Artin twist of E, at a family of finite-order character twists. To do this, we exploit the fact that such an L-value may be written as the Rankin convolution of two Hilbert modular forms, when the representation factors through the false Tate curve extension. R
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Sun, Hae-Sang. "Non-vanishing mod p of special L-values." Diss., Restricted to subscribing institutions, 2007. http://proquest.umi.com/pqdweb?did=1428842281&sid=1&Fmt=2&clientId=1564&RQT=309&VName=PQD.

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Ai, Xiaohua. "Arithmetic of values of L-functions and generalized multiple zeta values over number fields." Thesis, Paris 6, 2017. http://www.theses.fr/2017PA066394/document.

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L'objectif principal de cette thèse est de généraliser les multizetas au cas où le corps de base Q est remplacé par un corps de nombres quelconque. La motivation derrière cette construction vient des travaux de A. Goncharov sur les corrélateurs de Hodge et de la philosophie plectique de J. Nekovar et A. Scholl. On commence par la construction des fonctions de Green plectiques supérieures. Hecke a prouvé que l'intégration d'une série d'Eisenstein appropriée sur le groupe de classes des idèles du corps de nombres donné, multipliée par un caractère du groupe des classes des idèles, est équale à l
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Matsumoto, Kohji, and Yasutaka Ihara. "On L-functions over function fields: Power-means of error-terms and distribution of L'/L-values." Research Institute for Mathematical Sciences , Kyoto University, 2010. http://hdl.handle.net/2237/20335.

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Bauer, Hartmut. "The distribution of values of Artin L-functions and applications /." Berlin, 2000. http://deposit.ddb.de/cgi-bin/dokserv?idn=96093927X.

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Daghigh, Hassan. "Modular forms, quaternion algebras, and special values of L-functions." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape11/PQDD_0006/NQ44398.pdf.

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Daghigh, Hassan. "Modular forms, quaternion algebras, and special values of L-functions." Thesis, McGill University, 1997. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=34938.

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Let f be a cusp form of weight 2 and level N. Let K be an imaginary quadratic field of discriminant, --D, and A an ideal class of K. We obtain precise formulas for the special values of the L-functions associated to the Rankin convolution of f and a theta series associated to the ideal class A , in terms of the Petersson scalar product of f with the theta series associated to an Eichler order in a positive definite quaternion algebra. Our work is an extension of the work done by Gross [7]. The central tools used in this thesis are Rankin's method and a reformulation of Gross of work of Waldspu
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Books on the topic "L-values"

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Lee, Pak Hin. p-adic L-functions for non-critical adjoint L-values. [publisher not identified], 2019.

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Murty, Maruti Ram. Mean values of derivatives of modular L-series. Dept. of Mathematics, University of Toronto, 1989.

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Alexander, Vojcanin Sava, and Dorsey Gray L, eds. Law, culture, and values: Essays in honor of Gray L. Dorsey. Transaction Publishers, 1990.

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Tsuzuki, Masao. Spectral means of central values of automorphic L-functions for GL(2). American Mathematical Society, 2015.

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Ihara, Yasutaka. On "M-functions" closely related to the distribution of Lʹ/L-values. Kyōto Daigaku Sūri Kaiseki Kenkyūjo, 2006.

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Garcia, Luis Emilio. Singular theta lifts and near-central special values of Rankin-Selberg L-functions. [publisher not identified], 2013.

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7

Kimball, Martin, and Shalika Joseph A. 1941-, eds. On central critical values of the degree four L-functions for GSp(4): The fundamental lemma. American Mathematical Society, 2013.

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1943-, Attuel Josiane, ed. L' Exigence des valeurs. Presses universitaires de France, 1990.

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9

Cazeneuve, Jean. L' avenir de la morale. Editions du Rocher, 1998.

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Korczyk, Adolf F. Jakość hodowlana drzewostanów sosnowych oraz wartoś/ac \c hodowlana i genetyczna drzew doborowych i porównawczych sosny zwyczajnej (Pinus sylvestris L.) ośmiu polskich pochodzeń =: The breeding values of the Scots pine stands and breeding and genetic values of the Scots pine (Pinus sylvestris L.) plus trees and comparative trees from eight Polish provenances. IBL, 2002.

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Book chapters on the topic "L-values"

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Snaith, Victor P. "Galois Actions and L-values." In Algebraic K-Groups as Galois Modules. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8207-1_1.

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Dou, Ze-Li, and Qiao Zhang. "Special Values of L-functions." In Six Short Chapters on Automorphic Forms and L-functions. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-28708-4_5.

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Zudilin, Wadim. "Period(d)ness of L-Values." In Number Theory and Related Fields. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-6642-0_20.

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Hida, Haruzo. "Nonvanishing Modulo p of Hecke L-Values." In Springer Monographs in Mathematics. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-6657-4_8.

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Urbanowicz, Jerzy, and Kenneth S. Williams. "Congruences among the Values of 2-Adic L-Functions." In Congruences for L-Functions. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-015-9542-1_4.

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Greenberg, Ralph. "Non-Vanishing of Certain Values of L-Functions." In Analytic Number Theory and Diophantine Problems. Birkhäuser Boston, 1987. http://dx.doi.org/10.1007/978-1-4612-4816-3_12.

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Murty, M. Ram, and Purusottam Rath. "Linear Independence of Values of Dirichlet L-Functions." In Transcendental Numbers. Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4939-0832-5_25.

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Murty, M. Ram, and Purusottam Rath. "Transcendence of Values of Class Group L-Functions." In Transcendental Numbers. Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4939-0832-5_26.

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Lang, Serge. "Cartan- Bernoulli Numbers as Values of L-Series." In Springer Collected Works in Mathematics. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4614-6324-5_6.

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Krídlo, O., and M. Ojeda-Aciego. "An Adjoint Pair for Intuitionistic L-Fuzzy Values." In Trends in Mathematics and Computational Intelligence. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-00485-9_19.

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Conference papers on the topic "L-values"

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Smothers, Kent W., and Thomas R. Holm. "Corrosion of Tin-Antimony Solder at High pH Values." In CORROSION 1997. NACE International, 1997. https://doi.org/10.5006/c1997-97451.

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Abstract Tin-antimony (Sn-Sb) solder is used as a substitute for tin-lead solder, which has been banned from plumbing applications. In the few published studies of Sn-Sb solder corrosion, very little Sb release was found. The highest measured Sb concentration, 7.3 μg/L, was for an exposure period of 90 days. For exposures of 24 hours or less, the maximum Sb concentration was 3.7 μg/L, which is less than the USEPA maximum contaminant level (MCL) of 6 μg/L. A passivating layer of tin oxide was hypothesized to explain the low Sb concentrations. The published studies all used pH values of 8.4 or l
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Pilecka-Ulcugaceva, Jovita, Ieva Siksnane, Arturs Veinbergs, Ainis Lagzdins, and Inga Grinfelde. "THE DYNAMICS OF NITROGEN AND PHOSPHORUS CONCENTRATIONS IN AGRICULTURAL RUNOFF AT THE LEVEL OF EXPERIMENTAL PLOTS: CASE STUDY IN LATVIA." In 24th SGEM International Multidisciplinary Scientific GeoConference 2024. STEF92 Technology, 2024. https://doi.org/10.5593/sgem2024/5.1/s20.35.

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Excessive input of nitrogen and phosphorus into water systems causes eutrophication. Efforts to reduce nitrogen and phosphorus losses from agriculture in the Baltic Sea region are crucial. The aim of the study is to assess the impact of nitrogen application rates in the form of mineral fertilizer on concentrations of Ntot, NO3-N, Ptot, and PO4-P (mg L-1) in runoff at the level of experimental fields. This study analyzed data from October 2014 to April 2022 collected from the Mellupite monitoring station, where experimental plots were set up with the application of different amount of nitrogen,
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Amosov, Pavel, Andrey Goryachev, and Dmitriy Makarov. "PRELIMINARY RESULTS OF DIGITAL IMAGES ANALYSIS OF THE TECHNICAL FLUIDS SURFACE BASED ON RGB-TECHNIQUE." In 24th SGEM International Multidisciplinary Scientific GeoConference 2024. STEF92 Technology, 2024. https://doi.org/10.5593/sgem2024/5.1/s20.27.

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The research objective was to develop a methodology for determining the total suspended solids concentration in wastewater based on the color indexes analysis. Determining the structure and properties of natural objects by processing its digital images has become widespread in soil science, since the soil colour is determined by its chemical and mineralogical composition. The material presented in the research can be considered as the initial steps in the development of soil science methods as applied to research objective. Based on the RGB-technique for processing digital images of the liquid
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Al-Hashem, A., J. Carew, W. Riad, and A. Abdullah. "Cavitation Corrosion Behaviour of L-80 Carbon Steel in Sea Water." In CORROSION 2002. NACE International, 2002. https://doi.org/10.5006/c2002-02209.

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Abstract Cavitation corrosion studies were conducted on L-80 carbon steel in seawater. The work included rate of mass loss versus time, potential time measurements in the presence and absence of cavitation tests which were conducted at a frequency of 20 kHz and 25°C. The rate of mass loss with time increased initially and then reached a steady state value after 50 h of cavitation. The corrosion potential shifted to less negative values after imposing cavitation conditions on this alloy. Cavitation attack on the surface of the alloy was revealed (by the SEM) in the form of cavity pits. It is be
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Onache, Petronela Anca, Alina Florea, Dorin Ioan Sumedrea, and Ovidiu Tita. "CHEMOMETRIC PROFILE OF WHITE AND RED WINES FROM DIFFERENT AREAS OF ROMANIA." In SGEM International Multidisciplinary Scientific GeoConference 24. STEF92 Technology, 2024. https://doi.org/10.5593/sgem2024/6.1/s25.20.

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In this research, we studied wines from eleven wine regions of Romania (Stefanesti, Dragasani, Dealul Mare, Minis, Blaj, Babadag, Focsani, Tarnave, Silagiu, Iasi, Cotnari), but also for two years of different production (2019 and 2021), to observe their chemometric profile according to the geographical origin. The chemical composition was determined for 40 white wines and 34 red wines. The studied chemical parameters were alcohol concentration, wine density, total acidity, free and total sulfur dioxide, non-reducing dry extract, glucose and fructose, pH, organic acids (tartaric acid, malic and
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Busba, Ezeddin, and Alberto A. Sagüés. "Critical Localized Corrosion Penetration of Steel Reinforcement for Concrete Cover Cracking." In CORROSION 2013. NACE International, 2013. https://doi.org/10.5006/c2013-02747.

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Abstract Corrosion of steel in concrete causes cracking of the concrete cover (C), when the metal loss reaches a critical penetration depth Xcrit. The value of Xcrit is important to formulate reliable models of the corrosion propagation stage. Corrosion of steel in concrete is commonly localized in nature especially in high quality concrete structures. Localized corrosion can occur due to preexisting cracks in cover concrete, concrete joints or defects in steel coatings. It has been shown previously that the value of Xcrit increases as corrosion becomes more localized, but scarce data did not
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Rubin, A. G., D. Hardy, and E. Holeman. "Trapped kilovolt electrons at low L-values." In International Conference on Plasma Sciences (ICOPS). IEEE, 1993. http://dx.doi.org/10.1109/plasma.1993.593074.

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Szczecinski, Leszek. "Optimal linear correction of mismatched L-values in BICM receivers." In ICC 2012 - 2012 IEEE International Conference on Communications. IEEE, 2012. http://dx.doi.org/10.1109/icc.2012.6364302.

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Arvinte, Marius, Sriram Vishwanath, and Ahmed H. Tewfik. "Deep Learning-Based Quantization of L-Values for Gray-Coded Modulation." In 2019 IEEE Globecom Workshops (GC Wkshps). IEEE, 2019. http://dx.doi.org/10.1109/gcwkshps45667.2019.9024547.

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Oishi, Keiichiro, Yasuyuki Tahara, Yuichi Sei, and Akihiko Ohsuga. "Proposal of l-diversity algorithm considering distance between sensitive attribute values." In 2017 IEEE Symposium Series on Computational Intelligence (SSCI). IEEE, 2017. http://dx.doi.org/10.1109/ssci.2017.8280973.

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Reports on the topic "L-values"

1

Wright, Wendy, M. Gregory, and Aaron Rinehart. Fixed station water quality monitoring at Cape Hatteras National Seashore: 2010 data summary. National Park Service, 2012. https://doi.org/10.36967/2190306.

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In 2005 the National Park Service (NPS) Southeast Coast Network (SECN) Inventory and Monitoring Program began collecting water-quality data in the estuarine waters near Cape Hatteras National Seashore (CAHA) as part the NPS Vital Signs monitoring program. The continuous monitoring data station is located at a dock at the Ocracoke Village boat ramp. This station collects pH, dissolved oxygen, temperature, salinity, conductivity, turbidity and water level data every 30 minutes. Additional water quality measurements are made by SECN staff and include monthly measurements of water clarity conditio
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Kaplan, D. I. Distribution Coefficients (Kd Values) for Waste Resins Generated from the K and L Disassembly Basin Facilities. Office of Scientific and Technical Information (OSTI), 2002. http://dx.doi.org/10.2172/805607.

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Wright, Wendy, M. Gregory, and Aaron Rinehart. Fixed-station water quality monitoring at Cape Lookout National Seashore: 2011 data summary. National Park Service, 2012. https://doi.org/10.36967/2190425.

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In 2007, the National Park Service (NPS) Southeast Coast Network (SECN) Inventory and Monitoring Program began a partnership with the North Carolina National Estuarine Research Reserve (NCNERR) to collect water-quality data in the estuarine waters near Cape Lookout National Seashore (CALO). Two-continuous monitoring stations were operational during 2011 at the Shackleford Banks Dock and the Middle Marsh area. Information provided by this monitoring program is designed to help managers understanding trends and variability related to waterquality conditions in and around park waters. This report
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Gregory, M., Aaron Rinehart, and Wendy Wright. Fixed-station water-quality monitoring at Congaree National Park: Data Summary 2011. National Park Service, 2012. https://doi.org/10.36967/2193850.

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In 2006 Congaree National Park (CONG), in conjunction with the Southeast Coast Network (SECN) Inventory and Monitoring Program, began collecting water-quality data at Cedar Creek as part the NPS Vital Signs Monitoring Program. The continuous monitoring data station is located approximately one mile south of the visitor center and collects water temperature, dissolved oxygen, pH, salinity, specific conductance, turbidity and water-level data every 30 minutes following the methods of Wenner and Geist (2001). This publication summarizes data collected from January 1, 2011 to December 31, 2011. Th
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Karnchanatat, Aphichart. L-Asparaginase from xylariaceous fungi and application in antitumor activity. Chulalongkorn University, 2010. https://doi.org/10.58837/chula.res.2010.75.

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From 30 xylariaceus fungi isolates, ten were found to produce extracellular L-Asparaginase (ASNase) activity, with Xylaria feejeensis isolate XL001, yielding the highest level. The ASNase activity in the Czapek Dox medium of XL001 was highest with 2.0 g/L glucose and 10 g/L L-asparagine as the carbon, nitrogen sources, respectively. A 42.5 kDa ASNase was enriched 41.4-fold to apparent homogeneity from XL001 cluture media using 80% saturation ammonium sulfate precipitation, DEAE-cellulose anion exchange and Superdex-75 gel filtration chromatography, but at a final yield of only 2.2%, an optimal
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Wright, Wendy, M. Gregory, and Aaron Rinehart. Fixed-station water quality monitoring at Fort Pulaski National Monument: 2011 data summary. National Park Service, 2012. https://doi.org/10.36967/2190461.

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In 2006 the National Park Service (NPS) Southeast Coast Network (SECN) Inventory and Monitoring Program began collecting water-quality data in the estuarine waters near Fort Pulaski National Monument (FOPU) as part the NPS Vital Signs monitoring program. The continuous monitoring data station is approximately 1.5 kilometers south of the Fort entrance at a dock on Lazaretto Creek just upstream of its confluence with the Savannah River. This station collects pH, dissolved oxygen, temperature, salinity, conductivity, turbidity and water level data every 30 minutes. Additional water quality measur
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McClelland, Zackery, Haley Peterson, and Kyle Dunsford. Dynamic tensile behavior of laser-directed energy deposition and additive friction stir-deposited AerMet 100. Engineer Research and Development Center (U.S.), 2024. http://dx.doi.org/10.21079/11681/48177.

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Quasi-static and high-rate tensile experiments were used to examine the strain rate sensitivity of laser-directed energy deposition (L-DED)- and additive friction stir deposition (AFSD)-formed AerMet 100 ultrahigh-strength steel-additive manufactured builds. Electron backscattered diffraction (EBSD) revealed similar as-deposited grain sizes between the two AM processes at approximately 24 μm and 17 μm for the L-DED and AFSD samples, respectively. The strain hardening rate, θ, revealed little change in the overall hardening observed in the L-DED and AFSD materials, with a consistent hardening i
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Puthanakit, Thanyawee, Kiat Ruxrungtham, Chitsanu Pancharoen, Jintanat Ananworanich, Torsak Burunupradah, and Arunee Klinklom. Pharmacokinetics of low-dose lopinavir/ritonavir tablet formulation in HIV-1 infected children. Chulalongkorn University, 2010. https://doi.org/10.58837/chula.res.2010.14.

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Methods: This was an open-label, cross-over study of 24 HIV-infected children with HIV RNA < 50 copies/ml comparing PK parameter of standard dose LPV/r and low dose of LPV/r for 4 weeks. LPV dosage was prescribed by body weight band; 25~35 kg: LPV/r 300/75 vs. 200/50 mg, > 35 kg 400/100 vs. 300/75 mg. Glood samples were drawn at 0 (pre-dose), 2,4,6,8, 10 and 12 hours. Plasma concentrations of LPV and RTV were measured by HPLC method. The acceptable C12h is > 1 mg/L. The HIV RNA was measured at week 12 after switch back to standard dose for 4 weeks. Results: Twenty four children were i
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Wright, Wendy, M. Gregory, and Aaron Rinehart. Fixed-station water quality monitoring at Cape Hatteras National Seashore: 2011 data summary. National Park Service, 2012. https://doi.org/10.36967/2190424.

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In 2005 the National Park Service (NPS) Southeast Coast Network (SECN) Inventory and Monitoring Program began collecting water-quality data in the estuarine waters near Cape Hatteras National Seashore (CAHA) as part the NPS Vital Signs monitoring program. The continuous-monitoring data station is located at a dock at the Ocracoke Village boat ramp. The Cape Hatteras National Seashore fixed-station water-quality monitoring site is part of the SECN estuarine water-quality monitoring program, which collects data in the vicinity of nine coastal parks located along the southeastern U.S. coast. Info
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10

Mintz, K. J. The explosibility of three canadian coal dusts. Natural Resources Canada/CMSS/Information Management, 1989. http://dx.doi.org/10.4095/331786.

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Abstract:
Explosibility measurements on coal dusts from the Cape Breton Development Corporation's Lingan Mine, TransAlta's Highvale Mine and the Quintette Mine in B.C. have been carried out along with some tests on Pittsburgh Standard coal dust. The Quintette coal dust would not explode in the classical Hartmann apparatus, but did explode in the new 20-L vessel using a more powerful ignition source. The minimum explosible concentrations of the Lingan, Highvale and Pittsburgh coal dusts were all about the same (40 - 45 mg/L), that of the Quintette was higher (140 mg/L). The difference may be attributed t
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