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Titlebook: Lectures on Complex Integration; A. O. Gogolin,Elena G. Tsitsishvili,Andreas Komnik Textbook 2014 Springer International Publishing Switze

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發(fā)表于 2025-3-21 16:06:01 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)Lectures on Complex Integration
編輯A. O. Gogolin,Elena G. Tsitsishvili,Andreas Komnik
視頻videohttp://file.papertrans.cn/584/583488/583488.mp4
概述Highly praised lecture notes, perfected for publication by colleagues after the untimely death of their author, Prof. Gogolin.Highlights the power and elegance of various methods of tackling complex i
叢書(shū)名稱(chēng)Undergraduate Lecture Notes in Physics
圖書(shū)封面Titlebook: Lectures on Complex Integration;  A. O. Gogolin,Elena G. Tsitsishvili,Andreas Komnik Textbook 2014 Springer International Publishing Switze
描述The theory of complex functions is a strikingly beautiful and powerful area of mathematics. Some particularly fascinating examples are seemingly complicated integrals which are effortlessly computed after reshaping them into integrals along contours, as well as apparently difficult differential and integral equations, which can be elegantly solved using similar methods. To use them is sometimes?routine but in many cases it borders on an art. The goal of the book is to introduce the reader to this beautiful area of mathematics and to teach him or her how to use these methods to solve a variety of problems ranging from computation of integrals to solving difficult integral equations. This is done with a help of numerous examples and problems with detailed solutions.
出版日期Textbook 2014
關(guān)鍵詞Branch Cut Integration; Complex Integration; Contour Integrals; Examples and Solutions in Complex Integ
版次1
doihttps://doi.org/10.1007/978-3-319-00212-5
isbn_softcover978-3-319-34398-3
isbn_ebook978-3-319-00212-5Series ISSN 2192-4791 Series E-ISSN 2192-4805
issn_series 2192-4791
copyrightSpringer International Publishing Switzerland 2014
The information of publication is updating

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2192-4791 each him or her how to use these methods to solve a variety of problems ranging from computation of integrals to solving difficult integral equations. This is done with a help of numerous examples and problems with detailed solutions.978-3-319-34398-3978-3-319-00212-5Series ISSN 2192-4791 Series E-ISSN 2192-4805
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Alexander. O. Gogolin,Elena G. Tsitsishvili,Andreas Komnikcells (PECCs) as reference standards that potentially can accompany staining of clinical cancer samples. We found that the cancer cell lines HT-29, CACO-2, and HeLa cells express miR-21 when measured by ISH, and used those cell lines to obtain PECCs. In this methods chapter we present a fixation and
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Alexander. O. Gogolin,Elena G. Tsitsishvili,Andreas Komnikpsies that allow for large numbers of slides to be set up in batches. The techniques described are for interphase cells in tissues where metaphase chromosome techniques are generally not applicable. Some of the FISH tests need to be carried out as an “out-of-hours” emergency test to make a critical
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psies that allow for large numbers of slides to be set up in batches. The techniques described are for interphase cells in tissues where metaphase chromosome techniques are generally not applicable. Some of the FISH tests need to be carried out as an “out-of-hours” emergency test to make a critical
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s in lymphoid and nonlymphoid tissues of most individuals. As a result, the detection by polymerase chain reaction of EBV genomes in DNA extracts from tumor tissues does not permit conclusions as to the precise cellular source of the virus. For a meaningful analysis of EBV infection, it often is nec
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發(fā)表于 2025-3-23 07:19:19 | 只看該作者
Alexander. O. Gogolin,Elena G. Tsitsishvili,Andreas KomnikSH) analyses using locked nucleic acid (LNA) probes have shown that miR-21 is expressed in stromal fibroblastic cells and in subsets of cancer cells. Image analysis of the miR-21 ISH signal has shown that increased expression estimate is associated with poor prognosis in colon cancer. However, asses
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