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Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials

為了解決derivative different的問題，作者Gardner, Robert B.,Govil, Narendra K.,Milovanovic, Gradimir V. 這樣論述：

Inequalities for polynomials and their derivatives are very important in many areas of mathematics, as well as in other computational and applied sciences; in particular they play a fundamental role in approximation theory. Here, not only Extremal Problems and Inequalities of Markov-Bernstein Typ

e for Algebraic Polynomials, but also ones for trigonometric polynomials and related functions, are treated in an integrated and comprehensive style in different metrics, both on general classes of polynomials and on important restrictive classes of polynomials. Primarily for graduate and PhD studen

ts, this book is useful for any researchers exploring problems which require derivative estimates. It is particularly useful for those studying inverse problems in approximation theory.

derivative different進入發燒排行的影片

基於PPG信號和卷積神經網路測量血壓

為了解決derivative different的問題，作者黎文雄 這樣論述：

光體積變化描記圖法 (PPG) 是一種非侵入性和低成本的技術，現在被廣泛應用於許多血壓量測的研究中。儘管 PPG 信號的品質對血壓演算法的準確度有很大影響，但有關PPG信號的品質檢查並未得到重點關注。在實際量測時，除PPG信號外，反相PPG信號、雜訊、運動信號都會被採集，這些錯誤的信號如果無法去除就會導致錯誤的預測結果。因此，為了解決這個問題，本文提出了一種用於檢查PPG信號品質的新型卷積神經網路 (CNN) 模型，此使用新型CNN的品質檢查模型已被成功訓練和驗證，具有高精度和高性能。此外，本文還設計了另一個卷積神經網路模型來計算血壓，該模型可以自動檢測 PPG 信號中的重要特徵。最後，品質

檢查模型和 CNN 模型都成功嵌入到 Matlab 界面中，用於測量和收集更多數據，以便將來校準模型。

Financial Mathematics: A Comprehensive Treatment in Discrete Time

為了解決derivative different的問題，作者Campolieti, Giuseppe,Makarov, Roman N. 這樣論述：

The book has been tested and refined through years of classroom teaching experience. With an abundance of examples, problems, and fully worked out solutions, the text introduces the financial theory and relevant mathematical methods in a mathematically rigorous yet engaging way.This textbook prov

ides complete coverage of discrete-time financial models that form the cornerstones of financial derivative pricing theory. Unlike similar texts in the field, this one presents multiple problem-solving approaches, linking related comprehensive techniques for pricing different types of financial deri

vatives.Key features: In-depth coverage of discrete-time theory and methodology.Numerous, fully worked out examples and exercises in every chapter.Mathematically rigorous and consistent yet bridging various basic and more advanced concepts.Judicious balance of financial theory, mathematical, and com

putational methods.Guide to Material.This revision contains: Almost 200 pages worth of new material in all chapters.A new chapter on elementary probability theory.An expanded the set of solved problems and additional exercises.Answers to all exercises.This book is a comprehensive, self-contained, an

d unified treatment of the main theory and application of mathematical methods behind modern-day financial mathematics.

開發卵巢癌生物標記檢測之 ELISA整合異常霍爾效應的生物磁性感測器

為了解決derivative different的問題，作者周宜婷 這樣論述：

自旋電子元件對於磁性物質非常靈敏，廣泛用於磁頭讀寫，甚至是半導體記憶體科技，因此自旋電子元件對於磁性奈米顆粒結合生物載體或藥物的感測能力，非常適合做相關生物感測運用。CoFeB/MgO異質介面為當今磁性動態隨機存取記憶體之關鍵材料。此異質介面能產生穩定的界面垂直異向性，並具備相當高的磁穿隧效應。本研究透過電漿表面處理及官能基化，開發酵素結合免疫吸附法結合以CoFeB/MgO為基底之異常霍爾磁性感測器，以不同的材料分析手法，比較多種官能基化的方法，改善感測器的選擇度和靈敏度。透過數套介面材料分析工具，本論文也探究了官能基的最佳化過程。基於自旋電子學所開發的異常霍爾感測器，可與半導體製造技術兼容

，能有效的把感測器微型化並與半導體晶片整合，更具有降低製造成本和減少功耗的優勢。比起傳統的生物呈色檢定測量方法，更具有量化且具即時量測等優勢。