2D, 3D, and Full-field Breast Ultrasound Computer-aided Diagnosis
Prof. Ruey-Feng Chang ( Department of Computer Science and Information Engineering , National Taiwan University )2008 - 04 - 25 (Fri.)
13:30 - 14:30
308, Mathematics Research Center Building (ori. New Math. Bldg.)In our previous 2D CAD studies, the texture and speckle information are used to diagnose tumors and these features are classified by the neural network, support vector machine, data mining, and retrieval techniques. Recently, we dealt with 3D CAD techniques including 3D texture analysis, spiculation detection, and microcalcification identification. From these studies, using 3D techniques for CAD represents a potentially significant advantage over 2D. Vessels provide blood supply for tumor expansion and also increase the opportunity for tumor cells to enter the blood or lymph circulation. In contrast to normal vessels, tumor vasculature is highly disorganized, tortuous and dilated, with uneven diameter and excessive branching. We propose a method extracting morphological features from 3-D breast power Doppler ultrasound and a CAD system adopting these features to classify tumor. Ultrasound elastography is a newly developed technique of imaging the tissue elasticity and it has been used clinically to examine a variety of breast lesions in patients. In general, the breast cancer tissue is harder than the adjacent normal breast tissue. Recently, we have developed a CAD for color elastography from Hitachi EUB-8500. Recently, several companies such as Aloka in Japan and U-systems in USA have developed new whole breast ultrasound screening machines. We have developed a computer-aided detection system for these fully automatic screening systems. By using the full-view images, our fully automatic CAD system for whole breast screening could be used to find suspicious frames and locate the approximate positions of tumors in the US images. By the way, an automatic rib detection will be introduced in this talk.

Anomalous Dispersion and Superluminal Propagation
Ko-Shin Chen ( Department of Mathematics, National Taiwan University )2008 - 04 - 25 (Fri.)
11:00 - 12:10
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Ricci Flow
Mr. Ye-Kai Wang ( Department of Mathematics, National Taiwan University )2008 - 04 - 24 (Thu.)
13:00 - 14:00
103, Old Mathematics Building

Chern-Simons-Higgs Models in Superconductivity Ⅲ
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 04 - 24 (Thu.)
11:10 - 12:20
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Application of Braid Group Theory to PDEⅡ
Prof. Chin-Chin Wu ( Department of Applied Mathematics, National Chiao Tung University )2008 - 04 - 24 (Thu.)
14:00 - 15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

On Witten’s Proof of the Positive Energy Theorem
Mr. Ye-Kai Wang ( Department of Mathematics, National Taiwan University )2008 - 04 - 24 (Thu.)
16:30 - 17:20
110, Old Mathematics Building

Circular consecutive choosability of graphs VII
Prof. Xuding Zhu ( Zhejiang Normal University, China )2008 - 04 - 24 (Thu.)
10:10 - 12:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Lectures on Differential Geometry
Mr. Yang-Kai Lue ( Department of Mathematics, National Taiwan University )2008 - 04 - 24 (Thu.)
19:00 - 20:30
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Circular consecutive choosability of graphs VIII
Prof. Xuding Zhu ( Zhejiang Normal University, China )2008 - 04 - 24 (Thu.)
13:30 - 15:30
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Ricci flow
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 04 - 22 (Tue.)
09:10 - 12:10
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Contracting Convex Immersed Closed Plane Curves with Slow Speed of Curvature
Prof. Dong-Ho Tsai ( National Tsing Hua University )2008 - 04 - 22 (Tue.)
14:00 - 15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Prof. Dong-Ho Tsai  ( National Tsing Hua University )

Dong-Ho Tsai 2008-04-22
14:00:00 - 15:00:00 Contracting Convex Immersed Closed Plane Curves with Slow Speed of Curvature308 , Mathematics Research Center Building (ori. New Math. Bldg.)

One-Dimensional Dynamics
Prof. Jung-Chao Ban ( National Dong Hwa University (Meilun Campus) )2008 - 04 - 21 (Mon.)
13:30 - 14:30
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Prof. Sze-Bi Hsu  ( National Tsing Hua University )

An introduction to financial models and risk management
Prof. Chuan-Hsiang Han ( Department of Quantitative Finance, National Tsing Hua University )2008 - 04 - 18 (Fri.)
09:30 - 10:20
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Scientific Computing on Hemodynamics-Computational Challenges and its Application to Surgical Planning for Cardiovascular Diseases (Ⅱ)
Prof. Tony Wen-Hann Sheu ( Department of Engineering Science and Ocean Engineering, National Taiwan University )2008 - 04 - 18 (Fri.)
11:10 - 12:10
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Prof. Chih-hao Hsieh  ( Institute of Oceanography, National Taiwan University )

Sze-Bi Hsu 2008-04-18
13:30:00 - 14:30:00 Two species competition in an unstirred chemostat, an internal instored model308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Comparison theorems in Rimannian geometry
Mr. Sheng Fu Chio ( Department of Mathematics, National Taiwan University )2008 - 04 - 17 (Thu.)
19:00 - 20:30
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Constructing a Lyapunov functional for quasilinear parabolic equation
Prof. Chi-Jen Wang ( Georgia Institute of Technology, USA )2008 - 04 - 17 (Thu.)
14:00 - 15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)The aim of this talk is to introduce a method by Zelenyak in constructing a Lyapunov functional for quasilinear parabolic equation. It is well known that the construction of such a functional is very important in the study of asymptotic behavior of the solution of evolution equation.

Invariant manifold for Boltzman equation
Prof. Tai-Ping Liu ( Academia Sinica )2008 - 04 - 17 (Thu.)
11:00 - 12:20
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Physics and mathematics of dispersive shocks: An introduction
Prof. Anatoly Kamchatnov ( Institute of Spectroscopy, Russian Academy of Science )2008 - 04 - 16 (Wed.)
15:00 - 17:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)In this lecture, we shall start more advanced part of the course. On the basis of observation that the Riemann invariants coincide with the end points of the bands in the spectrum of the Lame (or Schroedinger) equation, we relate the KdV equation with linear spectral problem and show that the KdV equation can be represented as a compatibility condition of two linear equations.

Prof. Derchyi Wu  ( Academia Sinica )

Ricci flow
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 04 - 15 (Tue.)
09:10 - 12:10
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Nonparametric Estimation of the Joint Distribution of Survival Time and Mark variables2008 - 04 - 15 (Tue.)
13:30 - 15:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)An overview of the paper 〝Nonparametric Estimation of the Joint Distribution of Survival Time and Mark variables〞by Huang and Louis (1998) is given. They established a representation of the joint distribution function through the cumulative marker-specific hazard function and proposed nonparametric estimators. The finite and large-sample properties of the estimators are also developed. A possible research topic and extension will be explored in this talk.

The Cauchy problem of the Ward equation II.
Prof. Derchyi Wu ( Academia Sinica )2008 - 04 - 15 (Tue.)
01:00 - 01:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Joint analysis of longitudinal data with informative right censoring2008 - 04 - 15 (Tue.)
13:30 - 15:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Derchyi Wu 2008-04-15
14:00:00 - 15:00:00 The Cauchy problem of the Ward equation (II)308 , Mathematics Research Center Building (ori. New Math. Bldg.)

An introduction to stochastic calculus
Prof. Narn-Rueih Shieh ( Department of Mathematics, National Taiwan University )2008 - 04 - 11 (Fri.)
09:30 - 10:20
405, Mathematics Research Center Building (ori. New Math. Bldg.)