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Dissertations / Theses on the topic 'Index calculus'

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Published: 4 June 2021
Last updated: 1 June 2024

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1

Helfgott, Harald, and Michel Helfgott. "Maxima and minima before calculus." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/97261.

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2

Kim, Nguyen. "Explicit arithmetic of Brauer groups ray class fields and index calculus /." [S.l.] : [s.n.], 2001. http://deposit.ddb.de/cgi-bin/dokserv?idn=963601687.

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3

Khan, Mumtaz Ahmad, and Bijan Rouhi. "A study on a calculus for the Tk,x,y,z-operator." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/96924.

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The present paper deals with the calculus of Tk,x,y,z - operator. The operator is a three variable analogue of the operator given earlier by W. A. Al-Salam [1] and H. B. Mittal [10]. The operator is useful for finding operational representations and generating functions of polynomials of three variables and will be dealt in a separate communication.
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4

So, Bing Kwan. "Pseudo-differential operators, heat calculus and index theory of groupoids satisfying the Lauter-Nistor condition." Thesis, University of Warwick, 2010. http://wrap.warwick.ac.uk/3793/.

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In this thesis, we study singular pseudo-differential operators defined by groupoids satisfying the Lauter-Nistor condition, by a method parallel to that of manifolds with boundary and edge differential operators. The example of the Bruhat sphere is studied in detail. In particular, we construct an extension to the calculus of uniformly supported pseudo-differential operators that is analogous to the calculus with bounds defined on manifolds with boundary. We derive a Fredholmness criterion for operators on the Bruhat sphere, and prove that their parametrices up to compact operators lie inside
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5

Bashir, Nazir, and MD Hasirul Islam. "NUMBER OF PERIODIC POINTS OF CONGRUENTIAL MONOMIAL DYNAMICAL SYSTEMS." Thesis, Linnéuniversitetet, Institutionen för datavetenskap, fysik och matematik, DFM, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-21258.

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In this thesis we study the number of periodic points of congruential monomial dynamical system. By concept of index calculus we are able to calculate the number of solutions for congruential equations. We give formula for the number of r-periodic points over prime power. Then we discuss about calculating the total number of periodic points and cycles of length r for prime power.
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6

Kohatsu, Higa Arturo, and Kazuhiro Yasuda. "Estimating multidimensional density functions using the Malliavin-Thalmaier formula." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/96672.

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The Malliavin-Thalmaier formula was introduced for simulation of high dimensional probability density functions. But when this integration by parts formula is applied directly in computer simulations, we show that it is unstable. We propose an approximation to the Malliavin-Thalmaier formula. In this paper, we find the order of the bias and the variance of the approximation error. And we obtain an explicit Malliavin-Thalmaier formula for the calculation of Greeks in finance. The weights obtained are free from the curse of dimensionality.
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7

Beauchamp, Bradley K. McCrone Sharon Rich Beverly Susan. "Exploring calculus students' understanding of L'Hôpital's Rule." Normal, Ill. : Illinois State University, 2006. http://proquest.umi.com/pqdweb?index=0&did=1273094441&SrchMode=1&sid=3&Fmt=2&VInst=PROD&VType=PQD&RQT=309&VName=PQD&TS=1181240966&clientId=43838.

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Thesis (Ph. D.)--Illinois State University, 2006.<br>Title from title page screen, viewed on June 7, 2007. Dissertation Committee: Dissertation Committee: Sharon S. McCrone, Beverly S. Rich (co-chairs), James F. Cottrill, Lucian L. Ionescu. Includes bibliographical references (leaves 155-159) and abstract. Also available in print.
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8

Khan, Mumtaz Ahmad, and Bhagwat Swaroop Sharma. "A study of three variable analogues of certain fractional integral operators." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/95821.

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The paper deals with a three variable analogues of certain fractional integral operators introduced by M. Saigo. Resides giving three variable analogues of earlier known fractional integral operators of one variable as a special cases of newly defined operators, the paper establishes certain results in the form of theorems including integration by parts.
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9

Tran, Christophe. "Formules d'addition sur les jacobiennes de courbes hyperelliptiques : application à la cryptographie." Thesis, Rennes 1, 2014. http://www.theses.fr/2014REN1S153/document.

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Dans cette thèse, j'étudie deux aspects distincts de la cryptographie basée sur les courbes elliptiques et hyperelliptiques. Dans une première partie, je confronte deux méthodes de calcul de couplages, originales car ne reposant pas sur le traditionnel algorithme de Miller. Ainsi, dans [42], K. Stange calcula le couplage de Tate sur une courbe elliptique à partir d'un nouvel outil, les elliptic nets. Y. Uchida et S. Uchiyama généralisèrent ces objets au cas hyperelliptique ([47]), mais ne donnèrent un algorithme pour le calcul de couplages que dans le cas des courbes de genre 2. Mon
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10

Abdalla, Samira Lessa. "An?lise Computadorizada para avalia??o dos ?ndices de Placa Bacteriana e C?lculo Dent?rio em c?es (canis familiaris)." Universidade Federal Rural do Rio de Janeiro, 2008. https://tede.ufrrj.br/jspui/handle/tede/892.

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Made available in DSpace on 2016-04-28T20:18:29Z (GMT). No. of bitstreams: 1 2008 - Samira Lessa Abdalla.pdf: 954479 bytes, checksum: ab7b6aa4f805848f97b44982e9c65f19 (MD5) Previous issue date: 2008-03-26<br>The Periodontal Disease is caused by dental plaque accumulation on teeth and adjacent structures. Indices have been formulated for its measurement considering the amount and intensity of Dental Plaque and Calculus in the oral cavity through subjective visual evaluation. This study aims to evaluate the computerized analysis method for measurement of Dental Plaque and Calculus areas on t
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11

Trimoska, Monika. "Combinatorics in algebraic and logical cryptanalysis." Electronic Thesis or Diss., Amiens, 2021. http://www.theses.fr/2021AMIE0005.

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Les attaques cryptographiques que nous décrivons dans cette thèse reposent sur des approches combinatoires, relevant notamment de la théorie des graphes et de la satisfaction sous contraintes. Notre objectif principal concerne l'étude du problème du logarithme discret sur courbes elliptiques. Dans un premier temps, nous nous concentrons sur l'attaque de calcul d'index pour le cas des courbes elliptiques définies sur des extensions de corps finis de degré premier. Au cœur de l'attaque sur ces courbes réside la résolution des systèmes polynomiaux en caractéristique 2. Ainsi, la première phase du
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12

Fojtík, Jan. "Metody hodnocení produktů životního pojištění." Master's thesis, Vysoká škola ekonomická v Praze, 2015. http://www.nusl.cz/ntk/nusl-206021.

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The thesis deals about methods widely used for life insurance products evaluation from the clients perspective. These methods of evaluation are important mainly for comparisons of several insurance products. One of goals of the thesis is to analyze existing methods used for evaluation of insurance products and discuss their suitability for comparing life insurance products. These methods are based mainly on cost analyses because they were originally developed especially for investments projects comparisons. The main goal of the thesis is to create new indices for comparing life insurance produ
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13

Pierrot, Cécile. "Le logarithme discret dans les corps finis." Thesis, Paris 6, 2016. http://www.theses.fr/2016PA066495/document.

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La cryptologie consiste en l’étude des techniques utilisées par deux entités pour communiquer en secret en présence d’une troisième. Les propriétés mathématiques qui sous-tendent ces techniques garantissent que leur attaque reste infaisable en pratique par un adversaire malveillant. Ainsi, les protocoles s’appuient sur diverses hypothèses, comme la di fficulté présumée de factoriser des entiers ou de calculer le logarithme discret d’un élément arbitraire dans certains groupes. Cette thèse qui porte sur le problème du logarithme discret dans les corps finis s’articule autour de t
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14

Kochinke, Sebastian. "Special Linear Systems on Curves and Algorithmic Applications." Doctoral thesis, Universitätsbibliothek Leipzig, 2017. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-219598.

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Seit W. Diffie und M. Hellman im Jahr 1976 ihren Ansatz für einen sicheren kryptographischen Schlüsselaustausch vorgestellten, ist der sogenannte Diskrete Logarithmus zu einem zentrales Thema der Kryptoanalyse geworden. Dieser stellt eine Erweiterung des bekannten Logarithmus auf beliebige endliche Gruppen dar. In der vorliegenden Dissertation werden zwei von C. Diem eingeführte Algorithmen untersucht, mit deren Hilfe der diskrete Logarithmus in der Picardgruppe glatter, nichthyperelliptischer Kurven vom Geschlecht g > 3 bzw. g > 4 über endlichen Körpern berechnet werden kann. Beide Ansätze
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15

Xu, Chao. "Non-conformal geometry on noncommutative two tori." The Ohio State University, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu1566225527101998.

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16

Pierrot, Cécile. "Le logarithme discret dans les corps finis." Electronic Thesis or Diss., Paris 6, 2016. http://www.theses.fr/2016PA066495.

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La cryptologie consiste en l’étude des techniques utilisées par deux entités pour communiquer en secret en présence d’une troisième. Les propriétés mathématiques qui sous-tendent ces techniques garantissent que leur attaque reste infaisable en pratique par un adversaire malveillant. Ainsi, les protocoles s’appuient sur diverses hypothèses, comme la di fficulté présumée de factoriser des entiers ou de calculer le logarithme discret d’un élément arbitraire dans certains groupes. Cette thèse qui porte sur le problème du logarithme discret dans les corps finis s’articule autour de t
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17

Agapito, Rubén. "Calculo exacto de la matriz exponencial." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/96126.

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We present several methods that allow the exact computation of the exponential matrix etA. Methods that include computation of eigenvectors or Laplace transform are very well-known, and they are mentioned herefor completeness. We also present other methods, not well-known inthe literature, that do not need the computation of eigenvectors, and are easy to introduce in a classroom, thus providing us with general formulas that can be applied to any matrix.<br>Presentamos varios métodos que permiten el calculo exacto de la matriz exponencial etA. Los métodos que incluyen el calculo de autovectores
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18

McCulloch, Catherine Margaret. "Discrete logarithm problem over finite prime fields." Thesis, Queensland University of Technology, 1998. https://eprints.qut.edu.au/36976/1/36976_McCulloch_1988.pdf.

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Difficulty in solving the discrete logarithm problem has led to its use in key exchange, public key cryptography and digital signatures. To measure the security of these algorithms, it is necessary to evaluate the methods currently available for attack. Although the applications of the discrete logarithm problem can be implemented in a variety of different groups, only implementations over multiplicative integers modulo a large prime p are considered. The object of this work is to review the current methods of solving the discrete logarithm problem - key exhaustion, Shanks' baby-step giant-st
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19

Medina, Guzmán Hugo. "Tres maneras de calcular la deflexión de un cuerpo que cae sobre un planeta en rotación." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/95036.

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Se estudia la caída de un cuerpo desde cierta altura sobre la superficie de la tierra hasta el suelo. Mediante mediciones de precisión se demuestra que la caída no es directa, sino que, debido a la rotación de la tierra en torno a su propio eje, hay una pequeña deflexión hacia el este de todos los cuerpos que caen. La finalidad de este trabajo es la de analizar este efecto haciendo uso del cálculo vectorial y empleando tres métodos distintos.
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20

Cermeño, Rodríguez Miguel Ángel. "Procedimientos para calcular la capacidad de producción de pozos de gas natural." Universidad Nacional de Ingeniería. Programa Cybertesis PERÚ, 2005. http://cybertesis.uni.edu.pe/uni/2005/cermeno_rm/html/index-frames.html.

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21

Revilla, Víctor. "¿Cómo calcular el monto de las multas? Criterios de la Sala de Propiedad Intelectual del Tribunal del INDECOPI." IUS ET VERITAS, 2016. http://repositorio.pucp.edu.pe/index/handle/123456789/122514.

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22

VERSINI, PASCALE. "Calcul de l'index de proliferation cellulaire des tumeurs melaniques : melanomes, naevus de spitz et naevus dysplasiques, avec les anticorps monoclonaux anti ki et anti pcna." Saint-Etienne, 1994. http://www.theses.fr/1994STET6429.

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23

Machado, Andrade Oliveira. "Ultrafast lasers in the femtosecond regime : generation, amplification and measurement." Palaiseau, Ecole polytechnique, 2013. https://pastel.archives-ouvertes.fr/file/index/docid/942477/filename/Pedro_Oliveira.pdf.

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Il est intuitif qu’avec de nouveaux outils, il devient possible d’explorer de nouveaux domaines de la physique. Les champs électromagnétiques ultra-rapides sont l’un de ces outils, ils permettent de sonder la matière à de nouvelles échelles de temps, à la fois pour développer de nouvelles applications et pour la recherche fondamentale. Néanmoins, ces champs constituent en eux-mêmes un phénomène méritant d’être analysé et étudié. Le travail présenté ici est divisé en deux parties, dont la première s’occupe de la génération et amplification de lasers ultracourtes. L’amplification paramétrique op
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24

Maschietto, Federica. "Une approche théorique à la photochimie moléculaire basées sur la densité pour l'étude de propriétés remarquables relatives aux états excités moléculaires." Thesis, Paris Sciences et Lettres (ComUE), 2019. http://www.theses.fr/2019PSLEC032.

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Voire annexe description en englais<br>This thesis focuses on devising, constructing, and applying cost-effective approaches to calculate the photophysical propertiesof molecular systems in the context of time-dependent density functional theory (TDDFT). The objective of our workis to define a set of purposely-derived density descriptors that can be combined to provide a straightforward interpretationof the relevant photophysical pathways for the many processes taking place at the excited state. More specifically,we deliver a collection of TDDFT-based computational protocols, based on the know
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25

Parrinello, Emanuele. "Fundamental Limits of Shared-Cache Networks." Electronic Thesis or Diss., Sorbonne université, 2021. http://www.theses.fr/2021SORUS491.

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Dans le contexte des réseaux de diffusion de contenu, les avantages puissants de la combinaison du cache et de la multidiffusion codée ont été démontrés pour les réseaux où chaque utilisateur est équipé de son propre cache isolé. Cette thèse vise à fournir les principes fondamentaux des réseaux à cache partagé où la communication avec les utilisateurs est assistée par un petit ensemble de caches, chacun d'entre eux servant un nombre arbitraire d'utilisateurs. Notre modèle de cache partagé, non seulement capture les réseaux cellulaires sans fil hétérogènes où les petites stations de base assist
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26

Ang-ChinTsai and 蔡昂瑾. "Index Calculus Method using Number Field Sieve." Thesis, 2016. http://ndltd.ncl.edu.tw/handle/fg5eud.

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碩士<br>國立成功大學<br>數學系應用數學碩博士班<br>104<br>In this paper, we introduce several methods to test an integer for smoothness, it is an important in beginning, then we talk about solving the discrete logarithm problem in the original index calculus method. Finally, we illustrate how to use the number field sieve in the index calculus to solve the discrete logarithm problem.
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27

Sun, Yu-Rou, and 孫羽柔. "Index Calculus for the Elliptic Curves Discrete Logarithm Problem." Thesis, 2016. http://ndltd.ncl.edu.tw/handle/35217207133936047005.

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碩士<br>國立交通大學<br>資訊科學與工程研究所<br>105<br>The security of elliptic curve cryptosystems is based on the hardness of the elliptic curve discrete logarithm problem(ECDLP). The most promising algorithm for ECDLP in binary fields is the index calculus method using Semaev’s summation polynomials and Weil Descent to create a polynomial system that is subsequently solved with Gröbner basis method. In this thesis we use SageMath to implement this type of index calculus method, discuss the algorithm in details and record the results.
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28

Lin, Chia-Wei, and 林家瑋. "A Study on Index Calculus Algorithms for Hyperelliptic Curves." Thesis, 2007. http://ndltd.ncl.edu.tw/handle/27031836302489754414.

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碩士<br>國立交通大學<br>資訊科學與工程研究所<br>95<br>In 1989, Koblitz proposed using the Jacobian of a hyperelliptic curve defined over a finite field to implement discrete logarithm cryptographic protocols. The discrete logarithm problem of the Jacobian is called hyperelliptic curve discrete logarithm problem (HCDLP). For a hyperelliptic curve of genus g over the finite field Fq, the group order of the Jacobian is O(q^g) which is larger than that of the additive group ,which is O(q), in an elliptic curve over Fq. Since there is no subexponential algorithm to solve HCDLP of small genus, hyperelliptic curve
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29

Kim, Nguyen [Verfasser]. "Explicit arithmetic of Brauer groups : ray class fields and index calculus / Kim Nguyen." 2001. http://d-nb.info/963601687/34.

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30

"Fractional cointegration pairs trading strategy on Hang Seng Index components." 2011. http://library.cuhk.edu.hk/record=b5894529.

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Li, Ming Hin.<br>Thesis (M.Phil.)--Chinese University of Hong Kong, 2011.<br>Includes bibliographical references (leaves 42-46).<br>Abstracts in English and Chinese.<br>Chapter 1 --- Introduction --- p.1<br>Chapter 2 --- Inference for Fractional Cointegration --- p.5<br>Chapter 2.1 --- Concept of Fractional Cointegration --- p.5<br>Chapter 2.1.1 --- Fractional Integration --- p.5<br>Chapter 2.1.2 --- Fractional Cointegration --- p.8<br>Chapter 2.2 --- Fractional Cointegration Modeling --- p.9<br>Chapter 2.2.1 --- Engle-Granger's Methodology --- p.9<br>Chapter 2.2.2 --- Johansen's Method
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31

Ewert, Eske Ellen. "Index theory and groupoids for filtered manifolds." Doctoral thesis, 2020. http://hdl.handle.net/21.11130/00-1735-0000-0005-152D-2.

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32

Kochinke, Sebastian. "Special Linear Systems on Curves and Algorithmic Applications." Doctoral thesis, 2016. https://ul.qucosa.de/id/qucosa%3A15364.

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Seit W. Diffie und M. Hellman im Jahr 1976 ihren Ansatz für einen sicheren kryptographischen Schlüsselaustausch vorgestellten, ist der sogenannte Diskrete Logarithmus zu einem zentrales Thema der Kryptoanalyse geworden. Dieser stellt eine Erweiterung des bekannten Logarithmus auf beliebige endliche Gruppen dar. In der vorliegenden Dissertation werden zwei von C. Diem eingeführte Algorithmen untersucht, mit deren Hilfe der diskrete Logarithmus in der Picardgruppe glatter, nichthyperelliptischer Kurven vom Geschlecht g > 3 bzw. g > 4 über endlichen Körpern berechnet werden kann. Beide Ansätze
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33

Tsai, Hsiu-Nan, and 蔡秀男. "The Association of Renal Vascular Resistive Index with Urinary MCP-1 & IL-6 in Patients with acute Ureteral Calculi Obstruction." Thesis, 2004. http://ndltd.ncl.edu.tw/handle/10217310549676551454.

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碩士<br>高雄醫學大學<br>醫學研究所碩士班<br>92<br>Purpose: To investigate the sensitivity and specificity of resistive index (RI, obtained from color Doppler sonography) in patients with acute ureteral obstruction due to ureteral calculi. To study the resistive index and the hemodynamic change after various treatment modality. To clarify the difference of leukocytosis induced by infection or by acute ureteral obstruction due to ureteral calculi. To investigate the correlation of the resistive index with leukocytosis induced by acute ureteral obstruction. Urinary cytokines and urinary levels of mediators of i
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