Call number: LD2668 .T4 1965 I72 / Master of Science

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In this paper, elementary properties of relative extreme points are investigated. The properties are defined in linear and topological terms. Proofs of many of these properties require the use of topological concepts.

分娩痛是一種生理性的疼痛，分娩過程中劇烈疼痛痛苦難以忍受，同時使產婦焦慮、緊張和恐懼，致使產婦血中兒茶酚胺、腎上腺皮質激素增高，導致血壓升高，心臟負荷加重﹔產婦由於疼痛呼喊、過度換氣、耗氧量增加，可導致呼吸性堿中毒，從而影響胎盤血供，導致母兒出現低氧血症。隨著產程進展、疼痛加劇，產婦血壓升高、呼吸頻率增快，過度耗氧，引起胎兒宮內窘迫，種種危險和痛苦導致剖宮產率逐年上升，加之藥物麻醉對產婦和胎兒都可以產生一定的不良反應。因此，合理地運用適當的疼痛緩解措施，可以使疼痛應激反應減輕甚至消失，提 高圍產期品質，分娩鎮痛日益受到重視。 研究目的 研究希望通過對現有關於通過穴位進行分娩鎮痛的臨床研究類文獻搜集、整理、分析，從而對通過穴位分娩鎮痛的常用方法、常用穴位、有效率等等方面做一個較為全面的展示，並對當前通過穴位分娩鎮痛的臨床研究的現狀和可能存在的問題進行探討。 方法 以中國期刊全文資料庫進行標準檢索，檢索選項為“主題”，檢索詞為“針刺”or“穴位”並包含“分娩鎮痛”or“分娩痛”，時間年限設定為2004年－2014 年。按納入排除標準進一步篩選文獻。 小結 就通過穴位分婉鎮痛的常用方法、常用穴位、有效率、產程變化、產後出血量等等方面進行文獻研究總結後，發現近年來通過穴位分娩鎮痛的臨床實驗文獻逐漸增多，初步證明穴位分娩鎮痛安全有效，但目前可搜到的臨床文獻存在臨床研究方式較為單一、選穴單一、結論標準不統一、隨機對照試驗設計不嚴謹等等問題，提示我們進行進一步研究。 關鍵字：分娩鎮痛﹔針刺鎮痛﹔ 穴位鎮痛﹔ 分娩痛﹔

by Lee Tin Wah. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1998. / Includes bibliographical references (leaves 68-69). / Abstract also in Chinese. / Chapter 1 --- Introduction --- p.5 / Chapter 2 --- Preliminaries --- p.8 / Chapter 2.1 --- Box dimension and Hausdorff dimension --- p.8 / Chapter 2.2 --- Basic properties of dimensions --- p.9 / Chapter 2.3 --- Calculating dimensions --- p.11 / Chapter 3 --- Dimension of graph of the Weierstrass function --- p.14 / Chapter 3.1 --- Calculating dimensions of a graph --- p.14 / Chapter 3.2 --- Weierstrass function --- p.16 / Chapter 3.3 --- An almost everywhere argument --- p.23 / Chapter 3.4 --- Tagaki function --- p.26 / Chapter 4 --- Self-affine mappings --- p.30 / Chapter 4.1 --- Box dimension of self-affine curves --- p.30 / Chapter 4.2 --- Differentability of self-affine curves --- p.35 / Chapter 4.3 --- Tagaki function --- p.42 / Chapter 4.4 --- Hausdorff dimension of self-affine sets --- p.43 / Chapter 5 --- Recurrent set and Weierstrass-like functions --- p.56 / Chapter 5.1 --- Recurrent curves --- p.56 / Chapter 5.2 --- Recurrent sets --- p.62 / Chapter 5.3 --- Weierstrass-like functions from recurrent sets --- p.64 / Bibliography

"Statistical inference plays an increasingly important role in science, finance and industry. Despite the extensive research and wide application of statistical inference, most of the efforts focus on uniform models. This thesis considers the statistical inference in models with abrupt changes instead. The task is to estimate change-points where the underlying models change. We first study low dimensional linear regression problems for which the underlying model undergoes multiple changes. Our goal is to estimate the number and locations of change-points that segment available data into different regions, and further produce sparse and interpretable models for each region. To address challenges of the existing approaches and to produce interpretable models, we propose a sparse group Lasso (SGL) based approach for linear regression problems with change-points. Then we extend our method to high dimensional nonhomogeneous linear regression models. Under certain assumptions and using a properly chosen regularization parameter, we show several desirable properties of the method. We further extend our studies to generalized linear models (GLM) and prove similar results. In practice, change-points inference usually involves high dimensional data, hence it is prone to tackle for distributed learning with feature partitioning data, which implies each machine in the cluster stores a part of the features. One bottleneck for distributed learning is communication. For this implementation concern, we design communication efficient algorithm for feature partitioning data sets to speed up not only change-points inference but also other classes of machine learning problem including Lasso, support vector machine (SVM) and logistic regression."

Thesis. 1978. Sc.D.--Massachusetts Institute of Technology. Dept. of Chemical Engineering. / MICROFICHE COPY AVAILABLE IN ARCHIVES AND SCIENCE. / Vita. / Bibliography: leaves 421-426. / by Jaime A. Valencia-Chávez. / Sc.D.

Chan, Ying Ying. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2011. / Includes bibliographical references (leaves 66-69). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.6 / Chapter 1.1 --- Weierstrass function --- p.7 / Chapter 1.2 --- Rademacher series --- p.10 / Chapter 2 --- Preliminaries --- p.12 / Chapter 2.1 --- Hausdorff dimension and box dimension .. --- p.12 / Chapter 2.2 --- Properties of Hausdorff dimension and box dimension --- p.15 / Chapter 2.3 --- Basic techniques in computing dimensions . --- p.16 / Chapter 2.4 --- Graphs of functions --- p.18 / Chapter 3 --- Weierstrass Function --- p.20 / Chapter 3.1 --- Weierstrass-like functions and their box dimension --- p.20 / Chapter 3.2 --- Hausdorff dimension of Weierstrass-like graphs --- p.23 / Chapter 3.3 --- Weierstrass function with a random phase angle --- p.31 / Chapter 4 --- Rademacher series --- p.37 / Chapter 4.1 --- Basic properties --- p.38 / Chapter 4.2 --- Box dimension for Rademacher series with generalization --- p.39 / Chapter 4.3 --- Some remainders on the infinite Bernoulli convolution --- p.46 / Chapter 5 --- Rademacher series with Pisot reciprocal as parameter --- p.48 / Chapter 5.1 --- Pisot number --- p.48 / Chapter 5.2 --- Hausdorff dimension --- p.49 / Chapter 5.3 --- Matrix representation --- p.54 / Chapter 5.3.1 --- Set-up --- p.54 / Chapter 5.3.2 --- Case of golden ratio --- p.61

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