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Dissertations / Theses on the topic 'Fingerprinting'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Strobel, Cornelia. "Fuzzy Fingerprinting." Universitätsbibliothek Chemnitz, 2005. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200500106.

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Fingerprints play an important role in biometrics and cryptography. Their creation might be based on one-way hash functions, which should usually also be collision-resistant. But users tend to draw less attention at those fingerprints - so an attacker might hand out a similar fingerprint in order to spoof identity. The main ideas for creating such 'fuzzy fingerprints' and the creation algorithm itself are discussed in this lecture. The demonstration of the tool, that produces fuzzy fingerprints shows the practical background of this technique<br>Fingerabdrücke besitzen sowohl in der Kryptograp

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2

Kristoffer, Frisell. "FINGERPRINTING AV HÅRDVARULIKA ENHETER : Precisionsmätning med fingerprinting på mobila enheter." Thesis, Högskolan i Skövde, Institutionen för informationsteknologi, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:his:diva-10052.

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3

Ellch, Jonathan P. "Fingerprinting 802.11 devices." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 2006. http://library.nps.navy.mil/uhtbin/hyperion/06Sep%5FEllch.pdf.

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Thesis (M.S. in Computer Science)--Naval Postgraduate School, September 2006.<br>Thesis Advisor(s): Dennis Volpano and Chris Eagle. "September 2006." Includes bibliographical references (p. 67). Also available in print.

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4

Kim, Joonsoo. "Reliable SRAM Fingerprinting." Thesis, The University of Texas at Austin, 2013. http://pqdtopen.proquest.com/#viewpdf?dispub=3572874.

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<p> Device identification, as human identification has been, has become critical to mitigate growing security problems. In the era of ubiquitous computing, it is important to ensure universal device identities that are versatile in number of ways, for example, to enhance computer security or to enable large-scale data capture, management and analysis. For device identities, simple labeling works only if they are properly managed under a highly controlled environment. We can also impose hard-coded serial numbers into non-volatile memories but it is well known that this is expensive and vulnerab

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5

MA, DAN. "Magnetic Resonance Fingerprinting." Case Western Reserve University School of Graduate Studies / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=case1426170542.

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6

Liu, Hui Qing 1957. "Fingerprinting biological materials." Thesis, The University of Arizona, 1992. http://hdl.handle.net/10150/291369.

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A study for non-destructive measurement and analysis of agricultural products was undertaken. Some enhancements were made to a spectrophotometer, DK-2A to meet the requirements of low uniform error band when using the factor analysis method. The instrument was modified by adding an integrating sphere, optical transducer, and electronic interface linked to a computer. The instrument was calibrated using targets traceable to NITS standards of BaSO₄ with mixtures of Carbon Black. This gave a range of known reflectance and provided consistent and reproducible data every 5 nm wavelengths between 35

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7

Karlsson, Anna. "Device Sensor Fingerprinting : Mobile Device Sensor Fingerprinting With A Biometric Approach." Thesis, Linköpings universitet, Informationskodning, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-119341.

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The number of connected devices connected to the Internet is growing rapidly. When talking about devices it also covers the ones not having any contact with humans. This type of devices are the ones that are expected to increase the most. That is why the field of device fingerprinting is an area that requires further investigation. This thesis measures and evaluates the accelerometer, camera and gyroscope sensor of a mobile device to the use as device fingerprinting. The method used is based on previous research in sensor identification together with methods used for designing a biometric syst

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Löfvenberg, Jacob. "Codes for digital fingerprinting /." Linköping : Univ, 2001. http://www.bibl.liu.se/liupubl/disp/disp2001/tek722s.pdf.

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9

Lindkvist, Tina. "Fingerprinting of digital documents /." Linköping : Univ, 2001. http://www.bibl.liu.se/liupubl/disp/disp2001/tek706s.pdf.

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10

Porter, Alastair. "Evaluating musical fingerprinting systems." Thesis, McGill University, 2013. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=117191.

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Audio fingerprinting is a process that uses computers to analyse small clips of music recordings to answer a common question that people who listen to music often ask : "What is the name of that song I hear ?" Audio fingerprinting systems identify musical content in audio and search a reference database for recordings that contain the same musical features. These systems can find matching recordings even when the query has been recorded in a public space and contains added noise. Different audio fingerprinting algorithms are better at identifying different types of queries, for example, querie

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11

Berg, Alfred, and Norton Lamberg. "Automatic fingerprinting of websites." Thesis, KTH, Hälsoinformatik och logistik, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-278052.

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Abstract Fingerprinting a website is the process of identifying what technologies a websiteuses, such as their used web applications and JavaScript frameworks. Currentfingerprinting methods use manually created fingerprints for each technology itlooks for. These fingerprints consist of multiple text strings that are matchedagainst an HTTP response from a website. Creating these fingerprints for eachtechnology can be time-consuming, which limits what technologies fingerprints canbe built for. This thesis presents a potential solution by utilizing unsupervisedmachine learning techniques to clust

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12

Izadinia, Vafa Dario. "Fingerprinting Encrypted Tunnel Endpoints." Diss., University of Pretoria, 2005. http://hdl.handle.net/2263/25351.

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Operating System fingerprinting is a reconnaissance method used by Whitehats and Blackhats alike. Current techniques for fingerprinting do not take into account tunneling protocols, such as IPSec, SSL/TLS, and SSH, which effectively `wrap` network traffic in a ciphertext mantle, thus potentially rendering passive monitoring ineffectual. Whether encryption makes VPN tunnel endpoints immune to fingerprinting, or yields the encrypted contents of the VPN tunnel entirely indistinguishable, is a topic that has received modest coverage in academic literature. This study addresses these question by ta

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13

Strömbom, Johannes. "Natural Fingerprinting of Steel." Thesis, Luleå tekniska universitet, Institutionen för system- och rymdteknik, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-85531.

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A cornerstone in the industry's ongoing digital revolution, which is sometimes referred to as Industry 4.0, is the ability to trace products not only within the own production line but also throughout the remaining lifetime of the products. Traditionally, this is done by labeling products with, for instance, bar codes or radio-frequency identification (RFID) tags. In recent years, using the structure of the product itself as a unique identifier, a "fingerprint", has become a popular area of research. The purpose of this work was to develop software for an identification system using laser spec

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14

Höglund, Salomon. "Informing Users About Fingerprinting." Thesis, Södertörns högskola, Medieteknik, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:sh:diva-38592.

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In peoples hyperconnected lives, a price to pay is their internet privacy and the different risks it faces the second their browser connects to the web. One such risk comes from how web tracking collect and analyze users information. This paper explores an approach to how web browsers can inform its users about the web tracking technique Fingerprinting, and through the concept presentation of this approach see: what key key aspects of visual aesthetics that affects the users experience when being informed; and to what extent differences in technological interest and knowledge affect users rece

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Toonstra, Jason Paul. "A radio transmitter fingerprinting system." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp04/mq23529.pdf.

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16

Radhakrishnan, Sakthi Vignesh. "A framework for system fingerprinting." Thesis, Georgia Institute of Technology, 2013. http://hdl.handle.net/1853/47609.

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The primary objective of the proposed research is to develop a framework for smart and robust fingerprinting of networked systems. Many fingerprinting techniques have been proposed in the past, however most of these techniques are designed for a specific purpose, such as Operating System (OS) fingerprinting, Access Point (AP) fingerprinting, etc. Such standalone techniques often have limitations which render them dysfunctional in certain scenarios or against certain counter measures. In order to overcome such limitations, we propose a fingerprinting framework that can combine multiple fingerpr

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17

Roring, Solvig Mary Margaret. "DNA fingerprinting of Mycobacterium bovis." Thesis, Queen's University Belfast, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.287426.

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18

Luangmaneerote, Sakchan. "Defences against browser fingerprinting techniques." Thesis, University of Southampton, 2018. https://eprints.soton.ac.uk/427361/.

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When users interact with a web page, it is often straightforward to extract user data which can then be used to create a profile of that user and even to establish the identity of the user. This identity can be used to collect the behaviour of that individual user while surfing the web. In the past, users have been tracked by small files stored on their computers (e.g., web cookies, flash cookies or supercookies). These small files stored on the user's computer are designed to be a reliable mechanism for websites to recall stateful information, but can also record the user's browsing activity.

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19

Mohamed, Azmin Nor Fadhillah. "Fingerprinting of complex bioprocess data." Thesis, University of Newcastle upon Tyne, 2013. http://hdl.handle.net/10443/2079.

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The focus of the research is on the analysis of complex bioprocess datasets with the ultimate goal of forming a link between the data and its underlying biological patterns. The challenges associated with investigating complex bioprocess data include the high dimensionality of the underlying measurements, the limited number of “observations”, and the complexity of selecting meaningful features to characterise the data. Contained within these data is a wealth of information that can contribute to inferring process outcomes and providing insight into improving productivity and process efficiency

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20

Andrews, Seth Dixon. "Extensions to Radio Frequency Fingerprinting." Diss., Virginia Tech, 2019. http://hdl.handle.net/10919/95952.

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Radio frequency fingerprinting, a type of physical layer identification, allows identifying wireless transmitters based on their unique hardware. Every wireless transmitter has slight manufacturing variations and differences due to the layout of components. These are manifested as differences in the signal emitted by the device. A variety of techniques have been proposed for identifying transmitters, at the physical layer, based on these differences. This has been successfully demonstrated on a large variety of transmitters and other devices. However, some situations still pose challenges: So

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21

King, Joseph. "Analysis and Fingerprinting of Glycosaminoglycans." VCU Scholars Compass, 2011. http://scholarscompass.vcu.edu/etd/2524.

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Heparin is a complex mixture of sulfated polysaccharides derived from animals and one of the oldest drugs in use. While an efficacious anticoagulant, heparin is beset by side effects and pharmacokinetic difficulties. Low molecular weight heparins (LMWH) are made by depolymerizing unfractionated heparin (UFH) and present improvements in these areas. However, they still retain a phenomenally high level of complexity due to their polydispersity and the introduction of non-native structural features. This makes the structural characterization LMWHs a daunting task. This work details the deve

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22

Bolin, Tobias. "Device fingerprinting: Conformance test av HTML5." Thesis, Högskolan i Skövde, Institutionen för informationsteknologi, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:his:diva-11024.

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23

Salter, James William Computer Science &amp Engineering Faculty of Engineering UNSW. "802.11 positioning using signal strength fingerprinting." Publisher:University of New South Wales. Computer Science & Engineering, 2008. http://handle.unsw.edu.au/1959.4/43353.

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The effectiveness of location aware applications is dependent on the accuracy of the supporting positioning system. This work evaluates the accuracy of an indoors 802.11 positioning system based on signal strength fingerprinting. The system relies on an empirical survey of signal strength prior to positioning. During this survey, signal strength recordings are made at a set of positions across the environment. These recordings are used as training data for the system during positioning. In this thesis, two surveying methods, five positioning algorithms, and two spatial output averaging methods

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24

Lee, Kung-Chung. "Localization systems using signal strength fingerprinting." Thesis, University of British Columbia, 2010. http://hdl.handle.net/2429/28750.

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The task of estimating the location of a mobile transceiver using the Received Signal Strength Indication (RSSI) values of radio transmissions to/from other radios is an inference problem. The fingerprinting paradigm is the most promising genre of methods studied in the literature. It constructs deterministic or probabilistic models from data sampled at the site. Probabilistic formulations are popular because they can be used under the Bayesian filter framework. We also categorize fingerprinting methods into regression or classification. The vast majority of existing methods perform regression

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Rochanakul, Penying. "Fingerprinting codes and separating hash families." Thesis, Royal Holloway, University of London, 2013. http://repository.royalholloway.ac.uk/items/464834d6-82c2-e1d2-e15f-92cf228d9704/7/.

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The thesis examines two related combinatorial objects, namely fingerprinting codes and separating hash families. Fingerprinting codes are combinatorial objects that have been studied for more than 15 years due to their applications in digital data copyright protection and their combinatorial interest. Four well-known types of fingerprinting codes are studied in this thesis; traceability, identifiable parent property, secure frameproof and frameproof. Each type of code is named after the security properties it guarantees. However, the power of these four types of fingerprinting codes is limited

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26

Donaldson, John P. "Source fingerprinting in adobe PDF files." Thesis, Monterey, California: Naval Postgraduate School, 2013. http://hdl.handle.net/10945/38919.

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Approved for public release; distribution is unlimited.<br>Adobe Portable Document Format (PDF) documents are increasingly used as a vector for targeted attacks. Although there exist a number of tools and methodologies for performing content-level analysis to identify unwanted or malicious behavior or characteristics in these documents, these forms of analysis are hampered by increasingly complex obfuscation techniques and usually require execution of potentially malicious code. This thesis proposes a static analysis method that uses structural elements of PDF documents to identify the tools u

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27

Zhu, Jiahui. "DNA fingerprinting in Oryza sativa L." Thesis, University of East Anglia, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.338095.

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28

Kara, Danielle Christine. "Understanding Error in Magnetic Resonance Fingerprinting." Case Western Reserve University School of Graduate Studies / OhioLINK, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=case1521406087127691.

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29

Andriamilanto, Tompoariniaina Nampoina. "Leveraging browser fingerprinting for web authentication." Thesis, Rennes 1, 2020. http://www.theses.fr/2020REN1S045.

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L'authentification web consiste à vérifier que le visiteur d'un site web est bien le détenteur d'un compte. Pour ce faire, plusieurs informations peuvent servir de preuve de détention, dont les empreintes de navigateur. Celles-ci sont des propriétés collectées à partir d'un navigateur permettant d'en constituer une empreinte potentiellement unique. Au travers de cette thèse, nous proposons deux contributions. Nous étudions l'adéquation des empreintes de navigateur pour de l'authentification. Nous faisons le lien entre les empreintes digitales et celles des navigateurs afin d'évaluer ces derniè

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Reyes, Omar Costilla. "Dynamic WIFI Fingerprinting Indoor Positioning System." Thesis, University of North Texas, 2014. https://digital.library.unt.edu/ark:/67531/metadc699843/.

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A technique is proposed to improve the accuracy of indoor positioning systems based on WIFI radio-frequency signals by using dynamic access points and fingerprints (DAFs). Moreover, an indoor position system that relies solely in DAFs is proposed. The walking pattern of indoor users is classified as dynamic or static for indoor positioning purposes. I demonstrate that the performance of a conventional indoor positioning system that uses static fingerprints can be enhanced by considering dynamic fingerprints and access points. The accuracy of the system is evaluated using four positioning algor

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Morgan, Matthew Philip. "Immune fingerprinting in acute severe sepsis." Thesis, Cardiff University, 2014. http://orca.cf.ac.uk/70408/.

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Sepsis kills more people than car accidents, breast cancer, and bowel cancer combined. The key areas integral for ensuring improvements in the care of sepsis patients include improved risk stratification, better microorganism identification techniques, and a reduction in the burden of second-hit nosocomial infections. This work addresses each of these key areas in turn, with the ultimate aim of improving patient care through applied translation research. Firstly, this work will combine small-scale yet complex immunological data with new statistical modelling techniques to form a new approach t

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Derksen, Linda Anne. "Agency and structure in the history of DNA profiling : the stabilization and standardization of a new technology /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC IP addresses, 2003. http://wwwlib.umi.com/cr/ucsd/fullcit?p3083460.

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33

Kaltenbach, Hans-Michael. "Statistics and algorithms for peptide mass fingerprinting." [S.l.] : [s.n.], 2007. http://deposit.ddb.de/cgi-bin/dokserv?idn=983903395.

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34

Zhao, Hong. "Multimedia fingerprinting for multiuser forensics and security." College Park, Md. : University of Maryland, 2004. http://hdl.handle.net/1903/2068.

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Thesis (Ph. D.) -- University of Maryland, College Park, 2004.<br>Thesis research directed by: Electrical Engineering. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.

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Hou, Shuhui. "Anti-Collusion Fingerprinting for Multimedia Content Protection." 京都大学 (Kyoto University), 2009. http://hdl.handle.net/2433/123841.

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36

Mucsi-Nagy, Agnes. "Digital fingerprinting for sharing of confidential data." Thesis, University of Ottawa (Canada), 2006. http://hdl.handle.net/10393/27275.

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Currently, there are three approaches to limit disclosure of databases containing confidential data: (1) altering data before disclosure; (2) learning results without revealing data; and (3) watermarking to prove ownership over a database. This thesis describes a symmetric fingerprinting scheme that can be considered as a fourth approach or a complement to the three existing approaches. The proposed scheme uses fingerprinting to identity the entity who received confidential data and consists of a fingerprint (mark uniquely identifying each recipient), encoder (fingerprint insertion algorithm)

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Venkataraman, Aravind. "802.11 Fingerprinting to Detect Wireless Stealth Attacks." Digital Archive @ GSU, 2008. http://digitalarchive.gsu.edu/cs_theses/57.

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We propose a simple, passive and deployable approach for fingerprinting traffic on the wired side as a solution for three critical stealth attacks in wireless networks. We focus on extracting traces of the 802.11 medium access control (MAC) protocol from the temporal arrival patterns of incoming traffic streams as seen on the wired side, to identify attacker behavior. Attacks addressed include unauthorized access points, selfish behavior at the MAC layer and MAC layer covert timing channels. We employ the Bayesian binning technique as a means of classifying between delay distributions. The sch

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38

Kennedy, Bobbie-Jo. "DNA fingerprinting of Native American skeletal remains." Virtual Press, 1995. http://liblink.bsu.edu/uhtbin/catkey/958779.

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The purpose of this project was to determine if the human skeletal remains of two distinct Native American cemeteries, found in close geographic proximity, represent the same population. These archaeological sites are similar in location and artifacts. Burial practices, however, vary between the sites. These differences may represent class distinction or a difference in the times the cemeteries were used. Radiocarbon techniques have given dates of AD 230±300 and AD 635±105 for these two sites. Several methods of DNA isolation were compared for their ability to yield PCR amplifiable DNA. DNA is

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39

Meng, Anming. "DNA fingerprinting and minisatellite variation of swans." Thesis, University of Nottingham, 1990. http://eprints.nottingham.ac.uk/13889/.

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Genetic variation in natural populations of four species of swans (Cygnus bewickii, Cygnus olor, Cygnus buccinator and Cygnus cygnus) has been investigated by examining minisatellite loci using human DNA fingerprinting probes pSPT19.6 and pSPT18.15. It has been found that swan minisatellites are highly variable. However, the degree of variation depends on the population structure and species. Bewick's Swans at Slimbridge have the highest degree of minisatellite variation, Whooper Swans at Caerlaverock come second, and then Mute Swans, and Trumpeter Swans in Montana. Comparative study of DNA fi

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Carter, Royston Edwin. "Development adaptations & applications of DNA fingerprinting." Thesis, University of Nottingham, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.336944.

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Panoui, Anastasia. "Wide-sense fingerprinting codes and honeycomb arrays." Thesis, Royal Holloway, University of London, 2012. http://repository.royalholloway.ac.uk/items/0069d024-bc20-0d25-c1ab-ce87655766f0/8/.

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Deshmane, Anagha Vishwas. "Partial Volume Quantification Using Magnetic Resonance Fingerprinting." Case Western Reserve University School of Graduate Studies / OhioLINK, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=case1491572611420032.

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Beecroft, Alexander J. "Passive fingerprinting of computer network reconnaissance tools." Thesis, Monterey, California : Naval Postgraduate School, 2009. http://edocs.nps.edu/npspubs/scholarly/theses/2009/Sep/09Sep%5FBeecroft.pdf.

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Thesis (M.S. in Information Warfare Systems Engineering)--Naval Postgraduate School, September 2009.<br>Thesis Advisor(s): Michael, James B. "September 2009." Description based on title screen as viewed on November 04, 2009. Author(s) subject terms: Cyberspace defense, network defense, passive fingerprinting, computer network reconnaissance, network scanning, port scanning Includes bibliographical references (p. 67-69). Also available in print.

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Lutz, Steven S. "Hokua – A Wavelet Method for Audio Fingerprinting." Diss., CLICK HERE for online access, 2009. http://contentdm.lib.byu.edu/ETD/image/etd3247.pdf.

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Li, Baoping. "Elemental and isotopic fingerprinting of Chinese archaeological ceramics /." [St. Lucia, Qld.], 2006. http://www.library.uq.edu.au/pdfserve.php?image=thesisabs/absthe19207.pdf.

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Grönlund, Fredrik. "Positional Quality of Service using Dynamic Collection Fingerprinting." Thesis, Luleå tekniska universitet, Datavetenskap, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-66744.

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Positioning in environments where GPS is absent is a field currently under intensive research.Systems are currently being researched or designed for indoor use, often relying on ultra-wideband radio, ultrasound, fingerprinting or Wi-Fi.For underground mining, the problem is magnified, as installation of new equipment is expensive.Mobilaris Mining and Civil Engineering AB supplies a service, Mobilaris Mining Intelligence, using existing Wi-Fi infrastructure present in many mines for communication, and has developed two Wi-Fi-based positioning methods and one hybrid system, using dead reckoning

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Meara, Rhian Hedd. "Geochemical fingerprinting of Icelandic silicic Holocene tephra layers." Thesis, University of Edinburgh, 2012. http://hdl.handle.net/1842/5834.

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The overall aim of this research project has been to develop a reference dataset of 19 Holocene silicic Icelandic tephra layers sourced from the Torfajökull, Askja, Katla, Öræfajökull and Hekla volcanic systems. The dataset comprises geochemical data (including major, trace and rare earth element data for bulk and glass phases collected by XRF, electron microprobe, ion probe and laser ablation ICP-MS) and physical data (including sedimentary logs, field photographs, distribution maps and GPS localities of reference sections). Results indicate that Icelandic volcanic systems show unique geoc

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Doherty, C. J. "Cystic fibrosis microbiology : molecular fingerprinting of microbial pathogens." Thesis, University of Edinburgh, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.649603.

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CF lung infections are caused by a surprisingly narrow spectrum of pathogens and include <i>Staphylococcus aureus,</i> non-capsulate <i>Haemophilus influenzae, Pseudomonas aeruginosa</i> and <i>Burkholderia cepacia. Stenotrophomonas maltophila</i> is recovered from respiratory secretions with increasing frequency; however, its pathogenic role remains unclear. The primary aims of this thesis include the development and use of genomic fingerprinting systems to assist epidemiological investigations of CF pathogens, including <i>S. maltophilia.</i> Genomic fingerprinting is based on digestion of t

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Borges, Pinto Lais Izabel. "Alu-polymerase chain reaction genomic fingerprinting in neuroblastoma." Thesis, University of Newcastle Upon Tyne, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.366679.

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Ionescu, Dragos Ciprian. "VM and workload fingerprinting for software defined datacenters." Thesis, Massachusetts Institute of Technology, 2013. http://hdl.handle.net/1721.1/85425.

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Thesis: M. Eng., Massachusetts Institute of Technology, Department of Electrical Engineering and Computer Science, 2013.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (pages 89-90).<br>In this work we develop strategies for mining telemetry streams in virtualized clusters to automatically discover relationships between sets of virtual machines. Examples of relationships include correlations between virtual machines, similarities in resource consumption patterns or dominant resources, and similarities in metric variations. The main challenge in our approach is

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