Chemistry advance in molecular imaging March 8, 2005 ABSTRACT Zeitsan Tsai

Size: px
Start display at page:

Download "Chemistry advance in molecular imaging March 8, 2005 ABSTRACT Zeitsan Tsai"

Transcription

1 Chemistry advance in molecular imaging March 8, 2005 ABSTRACT Zeitsan Tsai Molecular imaging is broadly defined as the characterization & measurement of biological processes in vivo at cellular and molecular level using imaging techniques. The most widely used imaging modalities are ( 1 ) optical ( fluorescence, bioluminescence, luminescent semiconductor nanocrystals ), ( 2 ) magnetic resonance ( contrast agents: T1 and T2 agents ), and ( 3 ) radionuclides ( PET and SPECT ). The basic approach to molecular imaging includes target identification & development of chemical / biological probes. Those probes should be adapted to the imaging modalities mentioned above. Recently chemical probes of both superparamagnetic iron oxide ( or so called monocrystalline iron oxide nanoparticles and so on ) and luminescent semiconductor nanocrystals ( or so called quantum dots ) are emerging out and prevailing for both MR and optical imaging, respectively, after coupled with the biological specific to the desired target via appropriate linker ( such as 1 ethyl 3 (3 dimethylaminopropyl)carbodiimide,edac ).

2 The syntheses of both chemical probes will be reviewed and presented. Also some examples of both MR and optical molecular imaging will be presented. Reference: Hyeon T et al, Ultra- large- scale syntheses of monodisperse nanocrystals, Nature Mat ( 2004 ) Hyeon T, Chemical synthesis of magnetic nanoparticls, Chem Commun 927 ( 2003 ) West C M L et al, The potential of positron-emission tomography to study anticancer-drug resistance, Nature Rev ( 2004 ) Blasberg R G, Multimodality in vivo molecular-genetic imaging, Bioconjugate Chem ( 2004 )

3 Molecular imaging is broadly defined as the characterization & measurement of biological processes in vivo at cellular and molecular level using imaging techniques (Dr. Peter Shin-Hwa Yeh) The basic approach to molecular imaging includes target identification & development of chemical / biological probes

4 Radiology x-ray findings Molecular imaging chemical or biological probe specific to a molecular target diagnosis with pathological confirmation validated by image-guided in vitro tissue analysis clinical useful information (pattern recognition) useful information for in vivo tracking of molecular pathway? Gene-based personal medicine

5 Molecular imaging 之機制 1. receptor ligand model 2. antigen antibody model 3. transporter substrate model 4. enzyme substrate model 5. complex or hybrid model Cellular physiologic activities : metabolism, hypoxia, proliferation, apoptosis, angiogenesis, response to infection, multiple drug resistance 分子影像的可能運用 Image guided biopsy Imaging for therapy selection & monitoring Image guided radio therapy Imaging tumor proliferation

6 Molecular imaging strategies Direct imaging strategies: imaging the target directly with a target specific probe. The resultant image of the probe localization and concentration ( signal intensity ) is directly related to its interaction with the target molecule ( which can be a protein or RNA or DNA ) For example: imaging of the vascular endothelial growth factor ( VEGF ) using I 124 labeled anti VEGF monoclonal antibody i.e. I 124 VG76e. Indirect imaging strategies: widely used is reporter gene imaging. For example: The herpes simplex virus type 1 thymidine kinase ( HSV1 tk ) reporter gene linked to the promoter of an endogenous gene of interest. The PET tracer I 124 FIAU is used as a reporter probe. FIAU is an analogue of ganciclovir, which is used in the treatment of herpes simplex virus infection. FIAU traps the reporter-gene product, which is produced when the endogenous gene of interest is transcribed.

7 Surrogate imaging or biomarker: assessing downstream effects of one or more endogenous molecular-genetic processes. For example: The F 18 FDG PET imaging of early functional changes in glucose metabolism that correlate with the tumour response to imatinib ( Glivec ). Imatinib targets KIT receptor signaling, and its downstream events involve the regulation of glucose uptake and metabolism.

8 Molecular imaging : target identification and chemical / biological probes Probe 之組成 Linker A B Probe A Probe B for imaging to couple with target detector (chemical or biological);biorecognition 性質 Probe A for imaging detector ptical imaging 1. organic fluorophore (small synthetic fluorescent dyes) 2. genetically expressed fluorescent protein (GFP, RFP, etc) 3. Luciferase 4. luminescent semiconductor nanocrystals (quantum dots, QDs), Cd Se / ZnS Magnetic resonance imaging T1 agent:gd DTPA derivatives Gd DTA derivatives T2 agent:superparamagnetic iron oxide(spi)

9 Nuclear imaging PET radionuclide chemicals:f 18 or I 124 labeled compounds ; SPECT radionuclide chemicals: Tc 99m, In 111, Ga 67 or Cu 64 labeled compounds;dtpa, EDTA, or DTA derivatives or peptide derivatives

10 Semiconductor nanocrystals, knows as quantum dots (QDs) 原子組成 :group Ⅱ & Ⅵ 或 Ⅲ & Ⅴ elements 週期表 Zn S Ga As Cd Se In Sb Hg Te Tl group Ⅱ&Ⅵ (CdSe, CdTe, CdS, ZnSe) group Ⅲ&Ⅴ (InP, InAs) Before 1993, QDs were mainly prepared in aqueous solution with added stability agents (e.g. thioglycerol or polyphosphate); low quality QDs with poor fluorescence efficiencies and large size variations (relative standard deviation, RSD, > 15%) In 1993, Bawendi and coworker synthesized highly luminescent CdSe QDs with a high temperature organometallic procedure ; RSD<5% but fluorescence quantum yields were still relatively low (~10%)

11 1996~1997, 發展 ZnS capped CdSe nanocrystals, 以增加 CdSe 之 quantum yields 至 40~50% 合成方法 : 在 CdSe / tri n octylphosphine oxide (TP, a high boiling point and coordinating solvent) 溶液中, 加入 Zn(CH3)2/S 溶液, 得到 CdSe core 上被覆一層 ZnS 2001, ten distinguishable emission colors of ZnS capped CdSe QDs excited with a near UV lamp : 443, 473, 481, 500, 518, 543, 565, 587, 610 and 655 nm QDs optical properties : ZnS capped CdSe Full width at half maximum (FWHM) : 13 nm Lifetimes : 5 ns, 20~30 ns (dominant), 80~200 ns Molar extinction coefficient : 105~106 M-1 cm-1 ZnS capped CdSe QDs surface chemistry morphologically, QDs are not smooth spherical particles, but are faceted with many plane and edges possess negative charge or positive charge

12 3.preparation of water soluble QDs #silicon / siloxane coating : 用 3 (mecaptopropyl) trimethoxysilane (MPS) 取代 TP #bifunctional ligands : 用 mercaptoacetie acid, dimercaptosuccinic acid or dithiothreitol 取代 TP Bioconjugation The surface area of a single QD is large enough for linking to multiple biomolecules: Two to 5 protein molecules and 50 or more small molecules (such as oligonucleotides or peptides) may be conjugated to a single 4 nm QD Luminescent semiconductor quantum dots (QDs) 之优勢 1. sharp emission spectra with full width at half-maximum (FWHM)~ 25 nm 2. high photostability 3. tunable size dependent emission peaks Recently,X..Michalet et al., Quantum dots for live cells, in vivo imaging, and diagnostics, Science ( 2005 ) Good review for solubilization and functionalization of quantum dots

13 當四氧化三鐵 (Fe34) 或 γ Fe23 的氧化鐵的粒徑小於 35nm 後, 即達到奈米級時, 其磁性之表現即不同, 即每個氧化鐵顆粒之磁性即成為一個 Single domain, 在有外加磁場時才是磁鐵 (ferromagnets), 而無外加磁場時卻是順磁性 (paramagnetism), 不再保有磁性, 此種小於 35nm 的奈米氧化鐵具有超磁鐵 (superparamagnets) 特性 一般稱為 superparamagnetic iron oxide(spi) 奈米氧化鐵之醫學應用, 包括 : (1) 當作 MRI 對比劑 ; 利用原理是這種 SPI 經由循環不會立即被網狀內皮系 (reticuloendothetial system) 移除, 因此有較長之血液半生期和較寬廣之身體分佈, 商品有 Lumirem ( 氧化矽包覆,300nm),Endorem(dextran 包覆, Fe34,150nm),Sinerem(dextran 包覆,Fe34, 30nm),(Brigger,2002) (2) controlled drug delivery (3) bioprocesssing;in vitro cell separation (4) magnetic intracellular hyperthermia (5) 作 MRI 分子影像造影劑

14 氧化鐵一詞所含之化學組成有 Fe34(magnetite), γ Fe23(maghemite),β Fe23,α Fe23 (haematite),δ FeH(feroxghite) 和 γ FeH (lepidocrocite) 等, 目前用於 MRI 分子影像造影劑的是 γ- Fe23/ Fe34 奈米 γ Fe23 之醫學應用受制於其 different coating,size uniformity 和 crystallinity 之影響 奈米 γ Fe23 之製備方法, 是用 FeCl2 和 FeCl3, 在鹼性溶液裡, 使其產生化學反應, 並且再通氧氣或再加入 H22 使其充分氧化而得到 常用鹼性化合物有 KH, KH+1 % PVA,NaH,NH3,tetramethyl ammonium hydroxide(tmah),tmah/nh3 等 它的反應包括水解與氧化, 反應化學式如下 : Fe2++2Fe3++8H- Fe34(black colloidal particles)+4h2 Fe H2 3Fe(H)3 2Fe(H)3 Fe23+3H2

15 由於 anisotropic dipolar attraction, 奈米 γ Fe23/ Fe34 很容易聚積成塊 (clustters), 而失去原有 single domain 之磁性 因此要加入穩定劑或將其包覆 (coating) 常用之穩定劑有 :sodium citrate,oleic acid,lauric acid,cationic surfactants( 如 tetraoctyl ammonium bromide )sodium chloride 等 常用奈米 γ Fe23/ Fe34 之規格為 0.9 % NaCl solution containing 11.6mg Fe/ml and 75mM sodium citrate(center for molecular imaging reserrch,mgh,boston), 要放在 4 冰櫃保存 Recent advance in preparation of iron oxide nanocrystals Goal: ( 1 ) good size control ( 2 ) narrow size distribution ( 3 ) good crystallinity ( 4 ) dispersable nanocrystal

16 Using non hydrolytic precursors; thermal decomposition in high boiling point organic solvents ( 1 ) Fe ( oleate )3 : 1 hexadecane ( b.p.274 C ) ; 5 nm crystal octyl ether ( b.p 287 C ) 9 nm crystal 1 octadecene ( b.p. 317 C ) 12 nm crystal 1 eicosene ( b.p. 330 C ) 16 nm crystal trioctylamine ( b.p. 365 C ) 22 nm crystal ( 2 ) Fe ( II ) alginate complex ( 3 ) Fe ( cuferron ) 3 complex ( 4 ) Fe ( C )5 complex ( 5 ) Fe ( acac )3 complex ( 6 ) Fe ( II ) CM cellulose complex 通常使用 dextran 來包覆奈米 γ Fe23/ Fe34, 其他之包覆化合物包括 reduced dextran(paul,2004),amylose starch(veigta,2000), liposome(bulte,1999),meso 2,3 dimercaptosuccinic acid (Wilhelm,2003),poly(ethylene glycol),polystyrene(wang, 2003),silica amphorous polymers 等

17 為了要達成生物接枝, 在包覆分子與特定生物分子之間, 要有連接劑 (linker 或 spacer 或 bridger), 包括 diols,diamines,diminde,dicarboxylic acid 等, 如 1 ethyl 3 (3 dimethylaminopropyl) carbodiimide (EDAC) Mehvar(2000) 曾討論 dextran 之處理, 包括 : (1) 用 periodate 方法 : glucose H H H dextran glucose glucose HI4- dextran aldehyde glucose RNH 2 glucose NaBH4 glucose glucose glucose HNR reduced product NR Schiff base (2) 用 phosgene activation H + H Cl C Cl H C Cl RH RNH 2 H C R Carbonate ester H C NHR Carbamate ester

18 化學處理過之 dextran, 再與 drug, proteins/enzyme 或 imaging agents 連接, 而達到預定之目的, 如治療 造影診斷等 已知之奈米氧化鐵生物接枝劑如下 : 1.annexinV(Schellenberger,2002) 2.lactoferrin 和 ceruloplasmin(gupta,2004) 3.transferrin(Hogemann,2000)

19 Some examples of CdSe/ZnS quantum dot and superparamagnetic iron oxide CdSe/ZnS DHLA B16F10 melanoma cells Linker: dihydroxylipoic acid ( DHLA ) Detection: fluorescence emission scanning microscopy Small animal: syngenetic C57BL/6 mice Purpose: tracking metastatic tumor cell extravasation Reference: Nature Medicine ( 2004 ) Annexin V CLI Cy 5.5 CLI : cross-linked iron oxide Cy 5.5 : near infrared ray fluorescent dye Annexin V : to bind to phosphatidylserine ( PS ) Linkers : SPDP: N succinimidyl 3 (2 pyridyldithio) propionate; SATA: N succinimidyl 3 (2 pyridylthio) propionate (S acetylthioacetate) Detection: fluorescence microscopy, MRI Purpose: specific for apoptotic Jurkat T cells Reference: Bioconjugate Chem ( 2004 )

20 CdSe/ZnS γ Fe23 mouse anticycline E antibody Linkers : DMSA : dimercaptosuccinic acid; EDAC : 1 ethyl 3 (3 dimethylaminopropyl) carbodiimide Detection: fluorescence microscopy Purpose: to separate MCF 7 breast cancer cells from serum solution using magnetic separation Reference: Nano Letters ( 2004 )

21 Suggestion From R. Weissleder s words: ne of the key aspects of radiology s engagement in molecular imaging will be the recruitment of molecular biologists, cell biologists, and synthetic chemists as well as radiochemists to enhance specialties. This is to reflect both target identification and chemical/biological probe preparation.

0 0 = 1 0 = 0 1 = = 1 1 = 0 0 = 1

0 0 = 1 0 = 0 1 = = 1 1 = 0 0 = 1 0 0 = 1 0 = 0 1 = 0 1 1 = 1 1 = 0 0 = 1 : = {0, 1} : 3 (,, ) = + (,, ) = + + (, ) = + (,,, ) = ( + )( + ) + ( + )( + ) + = + = = + + = + = ( + ) + = + ( + ) () = () ( + ) = + + = ( + )( + ) + = = + 0

More information

Chapter 20 Cell Division Summary

Chapter 20 Cell Division Summary Chapter 20 Cell Division Summary Bk3 Ch20 Cell Division/1 Table 1: The concept of cell (Section 20.1) A repeated process in which a cell divides many times to make new cells Cell Responsible for growth,

More information

Ch.9 Liquids and Solids

Ch.9 Liquids and Solids Ch.9 Liquids and Solids 9.1. Liquid-Vapor Equilibrium 1. Vapor Pressure. Vapor Pressure versus Temperature 3. Boiling Temperature. Critical Temperature and Pressure 9.. Phase Diagram 1. Sublimation. Melting

More information

Chapter 6. Series-Parallel Circuits ISU EE. C.Y. Lee

Chapter 6. Series-Parallel Circuits ISU EE. C.Y. Lee Chapter 6 Series-Parallel Circuits Objectives Identify series-parallel relationships Analyze series-parallel circuits Determine the loading effect of a voltmeter on a circuit Analyze a Wheatstone bridge

More information

雷射原理. The Principle of Laser. 授課教授 : 林彥勝博士 Contents

雷射原理. The Principle of Laser. 授課教授 : 林彥勝博士   Contents 雷射原理 The Principle of Laser 授課教授 : 林彥勝博士 E-mail: yslin@mail.isu.edu.tw Contents Energy Level( 能階 ) Spontaneous Emission( 自發輻射 ) Stimulated Emission( 受激發射 ) Population Inversion( 居量反轉 ) Active Medium( 活性介質

More information

生物統計教育訓練 - 課程. Introduction to equivalence, superior, inferior studies in RCT 謝宗成副教授慈濟大學醫學科學研究所. TEL: ext 2015

生物統計教育訓練 - 課程. Introduction to equivalence, superior, inferior studies in RCT 謝宗成副教授慈濟大學醫學科學研究所. TEL: ext 2015 生物統計教育訓練 - 課程 Introduction to equivalence, superior, inferior studies in RCT 謝宗成副教授慈濟大學醫學科學研究所 tchsieh@mail.tcu.edu.tw TEL: 03-8565301 ext 2015 1 Randomized controlled trial Two arms trial Test treatment

More information

EXPERMENT 9. To determination of Quinine by fluorescence spectroscopy. Introduction

EXPERMENT 9. To determination of Quinine by fluorescence spectroscopy. Introduction EXPERMENT 9 To determination of Quinine by fluorescence spectroscopy Introduction Many chemical compounds can be excited by electromagnetic radication from normally a singlet ground state S o to upper

More information

= lim(x + 1) lim x 1 x 1 (x 2 + 1) 2 (for the latter let y = x2 + 1) lim

= lim(x + 1) lim x 1 x 1 (x 2 + 1) 2 (for the latter let y = x2 + 1) lim 1061 微乙 01-05 班期中考解答和評分標準 1. (10%) (x + 1)( (a) 求 x+1 9). x 1 x 1 tan (π(x )) (b) 求. x (x ) x (a) (5 points) Method without L Hospital rule: (x + 1)( x+1 9) = (x + 1) x+1 x 1 x 1 x 1 x 1 (x + 1) (for the

More information

Chapter 22 Lecture. Essential University Physics Richard Wolfson 2 nd Edition. Electric Potential 電位 Pearson Education, Inc.

Chapter 22 Lecture. Essential University Physics Richard Wolfson 2 nd Edition. Electric Potential 電位 Pearson Education, Inc. Chapter 22 Lecture Essential University Physics Richard Wolfson 2 nd Edition Electric Potential 電位 Slide 22-1 In this lecture you ll learn 簡介 The concept of electric potential difference 電位差 Including

More information

Chapter 1 Linear Regression with One Predictor Variable

Chapter 1 Linear Regression with One Predictor Variable Chapter 1 Linear Regression with One Predictor Variable 許湘伶 Applied Linear Regression Models (Kutner, Nachtsheim, Neter, Li) hsuhl (NUK) LR Chap 1 1 / 41 Regression analysis is a statistical methodology

More information

Algorithms and Complexity

Algorithms and Complexity Algorithms and Complexity 2.1 ALGORITHMS( 演算法 ) Def: An algorithm is a finite set of precise instructions for performing a computation or for solving a problem The word algorithm algorithm comes from the

More information

論文與專利寫作暨學術 倫理期末報告 班級 : 碩化一甲學號 :MA 姓名 : 林郡澤老師 : 黃常寧

論文與專利寫作暨學術 倫理期末報告 班級 : 碩化一甲學號 :MA 姓名 : 林郡澤老師 : 黃常寧 論文與專利寫作暨學術 倫理期末報告 班級 : 碩化一甲學號 :MA540117 姓名 : 林郡澤老師 : 黃常寧 About 85% of the world s energy requirements are currently satisfied by exhaustible fossil fuels that have detrimental consequences on human health

More information

第 3 章有機化學反應種類及酸鹼有機反應. 一 ) 有機化反應的種類及有機反應機制 (organic reactions and their mechanism)

第 3 章有機化學反應種類及酸鹼有機反應. 一 ) 有機化反應的種類及有機反應機制 (organic reactions and their mechanism) 第 3 章有機化學反應種類及酸鹼有機反應 一 ) 有機化反應的種類及有機反應機制 (organic reactions and their mechanism) 1) a) Substitution reaction: (Saturated compound such as alkanes or alkyl halides, aromatic compounds) ne group replace

More information

Multiple sequence alignment (MSA)

Multiple sequence alignment (MSA) Multiple sequence alignment (MSA) From pairwise to multiple A T _ A T C A... A _ C A T _ A... A T _ G C G _... A _ C G T _ A... A T C A C _ A... _ T C G A G A... Relationship of sequences (Tree) NODE

More information

原子模型 Atomic Model 有了正確的原子模型, 才會發明了雷射

原子模型 Atomic Model 有了正確的原子模型, 才會發明了雷射 原子模型 Atomic Model 有了正確的原子模型, 才會發明了雷射 原子結構中的電子是如何被發現的? ( 1856 1940 ) 可以參考美國物理學會 ( American Institute of Physics ) 網站 For in-depth information, check out the American Institute of Physics' History Center

More information

授課大綱 課號課程名稱選別開課系級學分 結果預視

授課大綱 課號課程名稱選別開課系級學分 結果預視 授課大綱 課號課程名稱選別開課系級學分 B06303A 流體力學 Fluid Mechanics 必 結果預視 課程介紹 (Course Description): 機械工程學系 三甲 3 在流體力學第一課的學生可能會問 : 什麼是流體力學? 為什麼我必須研究它? 我為什麼要研究它? 流體力學有哪些應用? 流體包括液體和氣體 流體力學涉及靜止和運動時流體的行為 對流體力學的基本原理和概念的了解和理解對分析任何工程系統至關重要,

More information

台灣大學開放式課程 有機化學乙 蔡蘊明教授 本著作除另有註明, 作者皆為蔡蘊明教授, 所有內容皆採用創用 CC 姓名標示 - 非商業使用 - 相同方式分享 3.0 台灣授權條款釋出

台灣大學開放式課程 有機化學乙 蔡蘊明教授 本著作除另有註明, 作者皆為蔡蘊明教授, 所有內容皆採用創用 CC 姓名標示 - 非商業使用 - 相同方式分享 3.0 台灣授權條款釋出 台灣大學開放式課程 有機化學乙 蔡蘊明教授 本著作除另有註明, 作者皆為蔡蘊明教授, 所有內容皆採用創用 姓名標示 - 非商業使用 - 相同方式分享 3.0 台灣授權條款釋出 hapter S Stereochemistry ( 立體化學 ): chiral molecules ( 掌性分子 ) Isomerism constitutional isomers butane isobutane 分子式相同但鍵結方式不同

More information

Linear Regression. Applied Linear Regression Models (Kutner, Nachtsheim, Neter, Li) hsuhl (NUK) SDA Regression 1 / 34

Linear Regression. Applied Linear Regression Models (Kutner, Nachtsheim, Neter, Li) hsuhl (NUK) SDA Regression 1 / 34 Linear Regression 許湘伶 Applied Linear Regression Models (Kutner, Nachtsheim, Neter, Li) hsuhl (NUK) SDA Regression 1 / 34 Regression analysis is a statistical methodology that utilizes the relation between

More information

5.5 Using Entropy to Calculate the Natural Direction of a Process in an Isolated System

5.5 Using Entropy to Calculate the Natural Direction of a Process in an Isolated System 5.5 Using Entropy to Calculate the Natural Direction of a Process in an Isolated System 熵可以用來預測自發改變方向 我們現在回到 5.1 節引入兩個過程 第一個過程是關於金屬棒在溫度梯度下的自然變化方向 試問, 在系統達平衡狀態時, 梯度變大或更小? 為了模擬這過程, 考慮如圖 5.5 的模型, 一孤立的複合系統受

More information

CHAPTER 2. Energy Bands and Carrier Concentration in Thermal Equilibrium

CHAPTER 2. Energy Bands and Carrier Concentration in Thermal Equilibrium CHAPTER 2 Energy Bands and Carrier Concentration in Thermal Equilibrium 光電特性 Ge 被 Si 取代, 因為 Si 有較低漏電流 Figure 2.1. Typical range of conductivities for insulators, semiconductors, and conductors. Figure

More information

Digital Integrated Circuits Lecture 5: Logical Effort

Digital Integrated Circuits Lecture 5: Logical Effort Digital Integrated Circuits Lecture 5: Logical Effort Chih-Wei Liu VLSI Signal Processing LAB National Chiao Tung University cwliu@twins.ee.nctu.edu.tw DIC-Lec5 cwliu@twins.ee.nctu.edu.tw 1 Outline RC

More information

2019 年第 51 屆國際化學奧林匹亞競賽 國內初選筆試 - 選擇題答案卷

2019 年第 51 屆國際化學奧林匹亞競賽 國內初選筆試 - 選擇題答案卷 2019 年第 51 屆國際化學奧林匹亞競賽 國內初選筆試 - 選擇題答案卷 一 單選題 :( 每題 3 分, 共 72 分 ) 題號 1 2 3 4 5 6 7 8 答案 B D D A C B C B 題號 9 10 11 12 13 14 15 16 答案 C E D D 送分 E A B 題號 17 18 19 20 21 22 23 24 答案 D A E C A C 送分 B 二 多選題

More information

Chapter 13 Thin-layer chromatography. Shin-Hun Juang, Ph.D.

Chapter 13 Thin-layer chromatography. Shin-Hun Juang, Ph.D. Chapter 13 Thin-layer chromatography Shin-Hun Juang, Ph.D. 1 Principles An analyte migrates up or across a layer of stationary phase (most commonly silica gel), under the influence of a mobile phase (usually

More information

Ch2. Atoms, Molecules and Ions

Ch2. Atoms, Molecules and Ions Ch2. Atoms, Molecules and Ions The structure of matter includes: (1)Atoms: Composed of electrons, protons and neutrons.(2.2) (2)Molecules: Two or more atoms may combine with one another to form an uncharged

More information

在雲層閃光放電之前就開始提前釋放出離子是非常重要的因素 所有 FOREND 放電式避雷針都有離子加速裝置支援離子產生器 在產品設計時, 為增加電場更大範圍, 使用電極支援大氣離子化,

在雲層閃光放電之前就開始提前釋放出離子是非常重要的因素 所有 FOREND 放電式避雷針都有離子加速裝置支援離子產生器 在產品設計時, 為增加電場更大範圍, 使用電極支援大氣離子化, FOREND E.S.E 提前放電式避雷針 FOREND Petex E.S.E 提前放電式避雷針由 3 個部分組成 : 空中末端突針 離子產生器和屋頂連接管 空中末端突針由不鏽鋼製造, 有適合的直徑, 可以抵抗強大的雷擊電流 離子產生器位於不鏽鋼針體內部特別的位置, 以特別的樹脂密封, 隔絕外部環境的影響 在暴風雨閃電期間, 大氣中所引起的電場增加, 離子產生器開始活化以及產生離子到周圍的空氣中

More information

邏輯設計 Hw#6 請於 6/13( 五 ) 下課前繳交

邏輯設計 Hw#6 請於 6/13( 五 ) 下課前繳交 邏輯設計 Hw#6 請於 6/3( 五 ) 下課前繳交 . A sequential circuit with two D flip-flops A and B, two inputs X and Y, and one output Z is specified by the following input equations: D A = X A + XY D B = X A + XB Z = XB

More information

Differential Equations (DE)

Differential Equations (DE) 工程數學 -- 微分方程 51 Differenial Equaions (DE) 授課者 : 丁建均 教學網頁 :hp://djj.ee.nu.edu.w/de.hm 本著作除另有註明外, 採取創用 CC 姓名標示 - 非商業性 - 相同方式分享 台灣 3. 版授權釋出 Chaper 8 Sysems of Linear Firs-Order Differenial Equaions 另一種解 聯立微分方程式

More information

相關分析. Scatter Diagram. Ch 13 線性迴歸與相關分析. Correlation Analysis. Correlation Analysis. Linear Regression And Correlation Analysis

相關分析. Scatter Diagram. Ch 13 線性迴歸與相關分析. Correlation Analysis. Correlation Analysis. Linear Regression And Correlation Analysis Ch 3 線性迴歸與相關分析 相關分析 Lear Regresso Ad Correlato Aalyss Correlato Aalyss Correlato Aalyss Correlato Aalyss s the study of the relatoshp betwee two varables. Scatter Dagram A Scatter Dagram s a chart that

More information

HKDSE Chemistry Paper 2 Q.1 & Q.3

HKDSE Chemistry Paper 2 Q.1 & Q.3 HKDSE 2017 Chemistry Paper 2 Q.1 & Q.3 Focus areas Basic chemical knowledge Question requirement Experimental work Calculations Others Basic Chemical Knowledge Question 1(a)(i) (1) Chemical equation for

More information

行政院國家科學委員會補助專題研究計畫 成果報告 期中進度報告 ( 計畫名稱 )

行政院國家科學委員會補助專題研究計畫 成果報告 期中進度報告 ( 計畫名稱 ) 附件一 行政院國家科學委員會補助專題研究計畫 成果報告 期中進度報告 ( 計畫名稱 ) 發展紅外線 / 可見光合頻波成像顯微術以研究表面催化反應 計畫類別 : 個別型計畫 整合型計畫計畫編號 :NSC 97-2113 - M - 009-002 - MY2 執行期間 : 97 年 3 月 1 日至 98 年 7 月 31 日 計畫主持人 : 重藤真介共同主持人 : 計畫參與人員 : 成果報告類型 (

More information

(i) Tangutorine 1 之全合成 : 經由關鍵的中間體 2; 化合物 2 具有. Aspidospermidine 39 之合成研究 : 經由螺環中間體 47

(i) Tangutorine 1 之全合成 : 經由關鍵的中間體 2; 化合物 2 具有. Aspidospermidine 39 之合成研究 : 經由螺環中間體 47 摘要 本篇論文主要探討利用分子對稱的觀念來協助一些口引口朵生物鹼之合 成研究 我們使用了 Pictet-Spengler 反應, 以色胺與具有對稱性的醛 來建立這類天然物之 tetrahydro-β-carboline 之架構 (i) Tangutorine 1 之全合成 : 經由關鍵的中間體 2; 化合物 2 具有 與 1 相同的立體化學 2 本身是由色胺與醛 3 從對稱的 1,3- 環己二酮製備

More information

14-A Orthogonal and Dual Orthogonal Y = A X

14-A Orthogonal and Dual Orthogonal Y = A X 489 XIV. Orthogonal Transform and Multiplexing 14-A Orthogonal and Dual Orthogonal Any M N discrete linear transform can be expressed as the matrix form: 0 1 2 N 1 0 1 2 N 1 0 1 2 N 1 y[0] 0 0 0 0 x[0]

More information

ApTutorGroup. SAT II Chemistry Guides: Test Basics Scoring, Timing, Number of Questions Points Minutes Questions (Multiple Choice)

ApTutorGroup. SAT II Chemistry Guides: Test Basics Scoring, Timing, Number of Questions Points Minutes Questions (Multiple Choice) SAT II Chemistry Guides: Test Basics Scoring, Timing, Number of Questions Points Minutes Questions 200-800 60 85 (Multiple Choice) PART A ----------------------------------------------------------------

More information

Candidates Performance in Paper I (Q1-4, )

Candidates Performance in Paper I (Q1-4, ) HKDSE 2018 Candidates Performance in Paper I (Q1-4, 10-14 ) 8, 9 November 2018 General and Common Weaknesses Weak in calculations Weak in conversion of units in calculations (e.g. cm 3 to dm 3 ) Weak in

More information

MECHANICS OF MATERIALS

MECHANICS OF MATERIALS CHAPTER 2 MECHANICS OF MATERIALS Ferdinand P. Beer E. Russell Johnston, Jr. John T. DeWolf David F. Mazurek Lecture Notes: J. Walt Oler Texas Tech University Stress and Strain Axial Loading 2.1 An Introduction

More information

Digital Image Processing

Digital Image Processing Dgtal Iage Processg Chater 08 Iage Coresso Dec. 30, 00 Istructor:Lh-Je Kau( 高立人 ) Deartet of Electroc Egeerg Natoal Tae Uversty of Techology /35 Lh-Je Kau Multeda Coucato Grou Natoal Tae Uv. of Techology

More information

Advanced Engineering Mathematics 長榮大學科工系 105 級

Advanced Engineering Mathematics 長榮大學科工系 105 級 工程數學 Advanced Engineering Mathematics 長榮大學科工系 5 級 姓名 : 學號 : 工程數學 I 目錄 Part I: Ordinary Differential Equations (ODE / 常微分方程式 ) Chapter First-Order Differential Equations ( 一階 ODE) 3 Chapter Second-Order

More information

氮化鋁鎵 / 氮化鎵異質結構的電性傳輸. Electrical transport in AlGaN/GaN heterostructures

氮化鋁鎵 / 氮化鎵異質結構的電性傳輸. Electrical transport in AlGaN/GaN heterostructures 國立臺灣大學物理學研究所 碩士論文 氮化鋁鎵 / 氮化鎵異質結構的電性傳輸 Electrical transport in AlGaN/GaN heterostructures 指導教授 : 梁啟德 張本秀 研究生 : 吳坤達 中華民國九十四年七月 To my parents I 誌謝 能完成這本論文, 實在不是我一個人的力量 首先感謝梁啟德老師在學術研究上不斷督促與叮嚀, 讓我在碩士生涯體驗到做實驗的樂趣

More information

國立中正大學八十一學年度應用數學研究所 碩士班研究生招生考試試題

國立中正大學八十一學年度應用數學研究所 碩士班研究生招生考試試題 國立中正大學八十一學年度應用數學研究所 碩士班研究生招生考試試題 基礎數學 I.(2%) Test for convergence or divergence of the following infinite series cos( π (a) ) sin( π n (b) ) n n=1 n n=1 n 1 1 (c) (p > 1) (d) n=2 n(log n) p n,m=1 n 2 +

More information

tan θ(t) = 5 [3 points] And, we are given that d [1 points] Therefore, the velocity of the plane is dx [4 points] (km/min.) [2 points] (The other way)

tan θ(t) = 5 [3 points] And, we are given that d [1 points] Therefore, the velocity of the plane is dx [4 points] (km/min.) [2 points] (The other way) 1051 微甲 06-10 班期中考解答和評分標準 1. (10%) A plane flies horizontally at an altitude of 5 km and passes directly over a tracking telescope on the ground. When the angle of elevation is π/3, this angle is decreasing

More information

統計學 Spring 2011 授課教師 : 統計系余清祥日期 :2011 年 3 月 22 日第十三章 : 變異數分析與實驗設計

統計學 Spring 2011 授課教師 : 統計系余清祥日期 :2011 年 3 月 22 日第十三章 : 變異數分析與實驗設計 統計學 Spring 2011 授課教師 : 統計系余清祥日期 :2011 年 3 月 22 日第十三章 : 變異數分析與實驗設計 Chapter 13, Part A Analysis of Variance and Experimental Design Introduction to Analysis of Variance Analysis of Variance and the Completely

More information

Candidates Performance in Paper I (Q1-4, )

Candidates Performance in Paper I (Q1-4, ) HKDSE 2016 Candidates Performance in Paper I (Q1-4, 10-14 ) 7, 17 November 2016 General Comments General and Common Weaknesses Weak in calculations Unable to give the appropriate units for numerical answers

More information

Fabrics ( 組構 ): Foliation and Lineations ( 葉理與線理 )

Fabrics ( 組構 ): Foliation and Lineations ( 葉理與線理 ) Fabrics ( 組構 ): Foliation and Lineations ( 葉理與線理 ) 台灣板岩地質區板岩的結構, 呈現劈理折射的現象 楊昭男教授提供 Jyr-Ching Hu, Department of Geosciences National Taiwan University Fabric Terminology Random fabric ( 散亂的組構 ): No preferred

More information

Statistical Intervals and the Applications. Hsiuying Wang Institute of Statistics National Chiao Tung University Hsinchu, Taiwan

Statistical Intervals and the Applications. Hsiuying Wang Institute of Statistics National Chiao Tung University Hsinchu, Taiwan and the Applications Institute of Statistics National Chiao Tung University Hsinchu, Taiwan 1. Confidence Interval (CI) 2. Tolerance Interval (TI) 3. Prediction Interval (PI) Example A manufacturer wanted

More information

Chapter 8 Lecture. Essential University Physics Richard Wolfson 2 nd Edition. Gravity 重力 Pearson Education, Inc. Slide 8-1

Chapter 8 Lecture. Essential University Physics Richard Wolfson 2 nd Edition. Gravity 重力 Pearson Education, Inc. Slide 8-1 Chapter 8 Lecture Essential University Physics Richard Wolfson 2 nd Edition Gravity 重力 Slide 8-1 In this lecture you ll learn 簡介 Newton s law of universal gravitation 萬有引力 About motion in circular and

More information

Chapter 1 Linear Regression with One Predictor Variable

Chapter 1 Linear Regression with One Predictor Variable Chapter 1 Linear Regression with One Predictor Variable 許湘伶 Applied Linear Regression Models (Kutner, Nachtsheim, Neter, Li) hsuhl (NUK) LR Chap 1 1 / 52 迴歸分析 Regression analysis is a statistical methodology

More information

Ch. 13 Carbonyl (1) Answers

Ch. 13 Carbonyl (1) Answers Ch. 13 Carbonyl (1) Answers 1. ame the carboxylic acid and alcohol from which each ester is derived. (a) (b) (c) rganic Chem II-1 acrylic acid, ethanol butyric acid, methanol 4-hydroxybutanoic acid or

More information

GSAS 安裝使用簡介 楊仲準中原大學物理系. Department of Physics, Chung Yuan Christian University

GSAS 安裝使用簡介 楊仲準中原大學物理系. Department of Physics, Chung Yuan Christian University GSAS 安裝使用簡介 楊仲準中原大學物理系 Department of Physics, Chung Yuan Christian University Out Line GSAS 安裝設定 CMPR 安裝設定 GSAS 簡易使用說明 CMPR 轉出 GSAS 實驗檔簡易使用說明 CMPR 轉出 GSAS 結果簡易使用說明 1. GSAS 安裝設定 GSAS 安裝設定 雙擊下載的 gsas+expgui.exe

More information

Chapter 13. Chemical Kinetics. Fu-Yin Hsu

Chapter 13. Chemical Kinetics. Fu-Yin Hsu Chapter 13 Chemical Kinetics Fu-Yin Hsu Ectotherms ( 冷血動物 ) ectotherms animals whose body temperature matches their environment s temperature. Ex: Lizards ( 蜥蝪 ) The drop in body temperature immobilizes

More information

第二章 : Hydrostatics and Atmospheric Stability. Ben Jong-Dao Jou Autumn 2010

第二章 : Hydrostatics and Atmospheric Stability. Ben Jong-Dao Jou Autumn 2010 第二章 : Hydrostatics and Atmospheric Stability Ben Jong-Dao Jou Autumn 2010 Part I: Hydrostatics 1. Gravity 2. Geopotential: The concept of geopotential is used in measurement of heights in the atmosphere

More information

KWUN TONG GOVERNMENT SECONDARY SCHOOL 觀塘官立中學 (Office) Shun Lee Estate Kwun Tong, Kowloon 上學期測驗

KWUN TONG GOVERNMENT SECONDARY SCHOOL 觀塘官立中學 (Office) Shun Lee Estate Kwun Tong, Kowloon 上學期測驗 觀塘官立中學 Tel.: 2343 7772 (Principal) 9, Shun Chi Street, 2343 6220 (Office) Shun Lee Estate Kwun Tong, Kowloon 各位中一至中三級學生家長 : 上學期測驗 上學期測驗將於二零一二年十月二十四日至十月三十日進行 安排如下 : 1. 測驗於 24/10, 25/10, 26/10, 29/10 早上八時三十五分至十時四十分進行

More information

壓差式迴路式均熱片之研製 Fabrication of Pressure-Difference Loop Heat Spreader

壓差式迴路式均熱片之研製 Fabrication of Pressure-Difference Loop Heat Spreader 壓差式迴路式均熱片之研製 Fabrication of Pressure-Difference Loop Heat Spreader 1 2* 3 4 4 Yu-Tang Chen Shei Hung-Jung Sheng-Hong Tsai Shung-Wen Kang Chin-Chun Hsu 1 2* 3! "# $ % 4& '! " ( )* +, -. 95-2622-E-237-001-CC3

More information

FUNDAMENTALS OF FLUID MECHANICS Chapter 3 Fluids in Motion - The Bernoulli Equation

FUNDAMENTALS OF FLUID MECHANICS Chapter 3 Fluids in Motion - The Bernoulli Equation FUNDAMENTALS OF FLUID MECHANICS Chater 3 Fluids in Motion - The Bernoulli Equation Jyh-Cherng Shieh Deartment of Bio-Industrial Mechatronics Engineering National Taiwan University 09/8/009 MAIN TOPICS

More information

d) There is a Web page that includes links to both Web page A and Web page B.

d) There is a Web page that includes links to both Web page A and Web page B. P403-406 5. Determine whether the relation R on the set of all eb pages is reflexive( 自反 ), symmetric( 对 称 ), antisymmetric( 反对称 ), and/or transitive( 传递 ), where (a, b) R if and only if a) Everyone who

More information

Ch2 Linear Transformations and Matrices

Ch2 Linear Transformations and Matrices Ch Lea Tasfoatos ad Matces 7-11-011 上一章介紹抽象的向量空間, 這一章我們將進入線代的主題, 也即了解函數 能 保持 向量空間結構的一些共同性質 這一章討論的向量空間皆具有相同的 体 F 1 Lea Tasfoatos, Null spaces, ad ages HW 1, 9, 1, 14, 1, 3 Defto: Let V ad W be vecto spaces

More information

Ch 13 Acids and Bases

Ch 13 Acids and Bases Ch 13 Acids and Bases 13-1 BrФnsted-Lowry acid-base model 13- The ion product of water [H ][OH ] = K w 13-3 ph and poh ph =log[h ] 13-4 Weak acid and their equilibrium constants 13-5 Weak base and their

More information

Work Energy And Power 功, 能量及功率

Work Energy And Power 功, 能量及功率 p. 1 Work Energy And Power 功, 能量及功率 黃河壺口瀑布 p. 2 甚麼是 能量? p. 3 常力所作的功 ( Work Done by a Constant Force ) p. 4 F F θ F cosθ s 要有出力才有 功 勞 造成位移才有 功 勞 W = F cos θ s ( Joule, a scalar ) = F s or F Δx F : force,

More information

磁振影像原理與臨床研究應用 課程內容介紹 課程內容 參考書籍. Introduction of MRI course 磁振成像原理 ( 前 8 週 ) 射頻脈衝 組織對比 影像重建 脈衝波序 影像假影與安全 等

磁振影像原理與臨床研究應用 課程內容介紹 課程內容 參考書籍. Introduction of MRI course 磁振成像原理 ( 前 8 週 ) 射頻脈衝 組織對比 影像重建 脈衝波序 影像假影與安全 等 磁振影像原理與臨床研究應用 盧家鋒助理教授國立陽明大學物理治療暨輔助科技學系 alvin4016@ym.edu.tw 課程內容介紹 Introduction of MRI course 2 課程內容 磁振成像原理 ( 前 8 週 ) 射頻脈衝 組織對比 影像重建 脈衝波序 影像假影與安全 等 磁振影像技術與分析技術文獻討論 對比劑增強 功能性影像 擴散張量影像 血管攝影 常用分析方式 等 磁振影像於各系統應用

More information

pseudo-code-2012.docx 2013/5/9

pseudo-code-2012.docx 2013/5/9 Pseudo-code 偽代碼 & Flow charts 流程圖 : Sum Bubble sort 1 Prime factors of Magic square Total & Average Bubble sort 2 Factors of Zodiac (simple) Quadratic equation Train fare 1+2+...+n

More information

REAXYS NEW REAXYS. RAEXYS 教育訓練 PPT HOW YOU THINK HOW YOU WORK

REAXYS NEW REAXYS. RAEXYS 教育訓練 PPT HOW YOU THINK HOW YOU WORK REAXYS HOW YOU THINK HOW YOU WORK RAEXYS 教育訓練 PPT Karen.liu@elsevier.com NEW REAXYS. 1 REAXYS 化學資料庫簡介 CONTENTS 收錄內容 & 界面更新 資料庫建置原理 個人化功能 Searching in REAXYS 主題 1 : 化合物搜尋 主題 2 : 反應搜尋 主題 3 : 合成計畫 主題 4 :

More information

命名, 構象分析及合成簡介 (Nomenclature, Conformational Analysis, and an Introduction to Synthesis)

命名, 構象分析及合成簡介 (Nomenclature, Conformational Analysis, and an Introduction to Synthesis) 第 3 章烷烴 命名, 構象分析及合成簡介 (Nomenclature, Conformational Analysis, and an Introduction to Synthesis) 一 ) Introduction Alkane: C n 2n+2 Alkene: C n 2n ydrocarbon Alkyne: C n 2n-2 Cycloalkane: C n 2n Aromatic

More information

Polybenzimidazole 及其奈米複合材 料薄膜在直接甲醇燃料電池的應用

Polybenzimidazole 及其奈米複合材 料薄膜在直接甲醇燃料電池的應用 遠東科技大學材料科學與工程系專題演講 Polybenzimidazole 及其奈米複合材 料薄膜在直接甲醇燃料電池的應用 許聯崇教授 國立成功大學材料科學及工程學系中華民國 97 年 3 月 19 日 utline Fuel Cells and Proton Exchange Membranes Synthesis of Polybenzimidazoles (PBIs) Research work

More information

頁數 (Page): 2 of 12 測試結果 (Test Results) 測試部位 (PART NAME)No.1 : 銅色片狀 (COPPER COLORED SHEET) 測試項目 (Test Items) 單位 (Unit) 測試方法 (Method) 方法偵測極限值 (MDL) 結果 (

頁數 (Page): 2 of 12 測試結果 (Test Results) 測試部位 (PART NAME)No.1 : 銅色片狀 (COPPER COLORED SHEET) 測試項目 (Test Items) 單位 (Unit) 測試方法 (Method) 方法偵測極限值 (MDL) 結果 ( 頁數 (Page): 1 of 12 以下測試樣品係由申請廠商所提供及確認 (The following sample(s) was/were submitted and identified by/on behalf of the applicant as): 樣品名稱 (Sample Description) 樣品型號 (Style/Item No.) 收件日期 (Sample Receiving

More information

Chapter 1 Physics and Measurement

Chapter 1 Physics and Measurement Chapter 1 Physics and Measurement We have always been curious about the world around us. Classical Physics It constructs the concepts Galileo (1564-1642) and Newton s space and time. It includes mechanics

More information

Chemistry II Midterm Exam 20 April, 2012

Chemistry II Midterm Exam 20 April, 2012 Chemistry II Midterm Exam 0 April, 01 Constants R = 8.314 J/mol K = 0.08314 L bar/k mol = 0.081 L atm/k mol = 8.314 L kpa/k mol 1 bar = 750.06 torr = 0.9869 atm F = 9.6485 10 4 C/mol 1. A 0.5-g sample

More information

MRDFG 的周期界的計算的提升計畫編號 :NSC E 執行期限 : 94 年 8 月 1 日至 94 年 7 月 31 日主持人 : 趙玉政治大學資管系計畫參與人員 :

MRDFG 的周期界的計算的提升計畫編號 :NSC E 執行期限 : 94 年 8 月 1 日至 94 年 7 月 31 日主持人 : 趙玉政治大學資管系計畫參與人員 : MRDFG 的周期界的計算的提升計畫編號 :NSC 94-2213-E-004-005 執行期限 : 94 年 8 月 1 日至 94 年 7 月 31 日主持人 : 趙玉政治大學資管系計畫參與人員 : 一 中文摘要 Schoenen [4] 證實了我們的理論 即如果 MRDFG 的標記使它像 SRDFG 一樣表現, 不需要變換為 SRDFG 他們表明當標記高于相符標記, 在回界相對於標記的圖中,

More information

PHI7470 Topics in Applied Philosophy: The Philosopher and Sociology

PHI7470 Topics in Applied Philosophy: The Philosopher and Sociology PHI7470 Topics in Applied Philosophy: The Philosopher and Sociology Mr. Lui Ping Keung (frcisco@netvigator.com) Sociology grew and continues to grow from philosophy. At the same time, sociology has made

More information

Chapter 13. Enzyme Kinetics ( 動力學 ) and Specificity ( 特異性 專一性 ) Biochemistry by. Reginald Garrett and Charles Grisham

Chapter 13. Enzyme Kinetics ( 動力學 ) and Specificity ( 特異性 專一性 ) Biochemistry by. Reginald Garrett and Charles Grisham Chapter 13 Enzyme Kinetics ( 動力學 ) and Specificity ( 特異性 專一性 ) Biochemistry by Reginald Garrett and Charles Grisham Y.T.Ko class version 2016 1 Essential Question What are enzymes? Features, Classification,

More information

1 dx (5%) andˆ x dx converges. x2 +1 a

1 dx (5%) andˆ x dx converges. x2 +1 a 微甲 - 班期末考解答和評分標準. (%) (a) (7%) Find the indefinite integrals of secθ dθ.) d (5%) and + d (%). (You may use the integral formula + (b) (%) Find the value of the constant a for which the improper integral

More information

CHAPTER 4. Thermochemistry ( 熱化學是熱力學的一支, 在化學反應或相變化過程中發生的能量吸收或釋出, 若以吸放熱的形式表現, 即為熱化學研究的對象 ) Chap. 4 Thermochemistry

CHAPTER 4. Thermochemistry ( 熱化學是熱力學的一支, 在化學反應或相變化過程中發生的能量吸收或釋出, 若以吸放熱的形式表現, 即為熱化學研究的對象 ) Chap. 4 Thermochemistry CHAPTER 4 Thermochemistry ( 熱化學是熱力學的一支, 在化學反應或相變化過程中發生的能量吸收或釋出, 若以吸放熱的形式表現, 即為熱化學研究的對象 ) 1 2 4.1 Energy Stored in Chemical Bonds Is Released or Taken Up in Chemical Reactions 3 I 2.2 Food and Energy reserves

More information

2. Suppose that a consumer has the utility function

2. Suppose that a consumer has the utility function 中正大學 94-6 94 { 修正 }. Suose that you consume nothing ut milk and cake and your references remain constant through time. In 3, your income is $ er week, milk costs $ er ottle, cake costs $ er slice and you

More information

Elementary Number Theory An Algebraic Apporach

Elementary Number Theory An Algebraic Apporach Elementary Number Theory An Algebraic Apporach Base on Burton s Elementary Number Theory 7/e 張世杰 bfhaha@gmail.com Contents 1 Preliminaries 11 1.1 Mathematical Induction.............................. 11

More information

奈米碳材石墨烯之製備技術與應用前景 Preparation Techniques and Application Outlook for Graphene of Nano-Carbon Material

奈米碳材石墨烯之製備技術與應用前景 Preparation Techniques and Application Outlook for Graphene of Nano-Carbon Material 奈米碳材石墨烯之製備技術與應用前景 Preparation Techniques and Application Outlook for Graphene of Nano-Carbon Material Outline 3D graphene foams and graphene sponge Carbon nanotbue Graphene hybrid materials Graphene based

More information

奈米微污染控制工作小組 協辦單位 台灣賽默飛世爾科技股份有限公司 報名方式 本參訪活動由郭啟文先生負責 報名信箱

奈米微污染控制工作小組 協辦單位 台灣賽默飛世爾科技股份有限公司 報名方式 本參訪活動由郭啟文先生負責 報名信箱 SEMI AMC TF2 微污染防治專案為提升國內微污染量測之技術水平, 特舉辦離子層析儀之原理教學與儀器參訪活動, 邀請 AMC TF2 成員參加, 期盼讓 SEMI 會員對於離子層析技術於微汙染防治之儀器功能及未來之應用有進一步的認識 以實作參訪及教學模式, 使 SEMI 會員深刻瞭解離子層析技術之概念與原理, 並於活動中結合產業專家, 進行研討, 提出未來應用與發展方向之建議 參訪日期 中華民國

More information

CH 5 More on the analysis of consumer behavior

CH 5 More on the analysis of consumer behavior 個體經濟學一 M i c r o e c o n o m i c s (I) CH 5 More on the analysis of consumer behavior Figure74 An increase in the price of X, P x P x1 P x2, P x2 > P x1 Assume = 1 and m are fixed. m =e(p X2,, u 1 ) m=e(p

More information

Ch. 6 Electronic Structure and The Periodic Table

Ch. 6 Electronic Structure and The Periodic Table Ch. 6 Eectronic tructure and The Periodic Tabe 6-: Light, Photon Energies, and Atoic pectra. The Wave Nature of Light: Waveength and Frequency. The partice Nature of Light; Photon Energies 3. Atoic pectra

More information

Answers: ( HKMO Heat Events) Created by: Mr. Francis Hung Last updated: 23 November see the remark

Answers: ( HKMO Heat Events) Created by: Mr. Francis Hung Last updated: 23 November see the remark 9 50450 8 4 5 8-9 04 6 Individual 6 (= 8 ) 7 6 8 4 9 x =, y = 0 (= 8 = 8.64) 4 4 5 5-6 07 + 006 4 50 5 0 Group 6 6 7 0 8 *4 9 80 0 5 see the remark Individual Events I Find the value of the unit digit

More information

Applications of Quantum Dots to Biosensing

Applications of Quantum Dots to Biosensing Applications of Quantum Dots to Biosensing CHEM 681 Student Seminar Series March 17 th, 2003 Heechang Ye Advisor : Dr. Richard M. Crooks Introduction Quantum dots (QDs) are semiconductor particles that

More information

國立成功大學 航空太空工程學系 碩士論文 研究生 : 柯宗良 指導教授 : 楊憲東

國立成功大學 航空太空工程學系 碩士論文 研究生 : 柯宗良 指導教授 : 楊憲東 國立成功大學 航空太空工程學系 碩士論文 波函數的統計力學詮釋 Statistical Interpretation of Wave Function 研究生 : 柯宗良 指導教授 : 楊憲東 Department of Aeronautics and Astronautics National Cheng Kung University Tainan, Taiwan, R.O.C. Thesis

More information

期中考前回顧 助教 : 王珊彗. Copyright 2009 Cengage Learning

期中考前回顧 助教 : 王珊彗. Copyright 2009 Cengage Learning 期中考前回顧 助教 : 王珊彗 考前提醒 考試時間 :11/17( 四 )9:10~12:10 考試地點 : 管二 104 ( 上課教室 ) 考試範圍 :C1-C9, 選擇 + 計算 注意事項 : 考試請務必帶工程計算機 可帶 A4 參考紙 ( 單面 不能浮貼 ) 計算過程到第四位, 結果寫到小數點第二位 不接受沒有公式, 也不接受沒算出最後答案 考試只會附上 standard normal distribution

More information

Low Dielectric Constant Silica Films Prepared by a Templating Method

Low Dielectric Constant Silica Films Prepared by a Templating Method J. Chin. Inst. Chem. Engrs., Vol. 34, No. 2, 211-217, 2003 Low Dielectric Constant Silica Films Prepared by a Templating Method Chih-Yuan Ting [1], Chen-An Wu [2] and Ben-Zu Wan [3] Department of Chemical

More information

Chapter 9 The introduction of EELS EELS principle

Chapter 9 The introduction of EELS EELS principle Chapter 9 The introduction of EELS EELS principle (Chap. 37, 38, 39, 40) Textbook: R.F. Egerton, Electron Energy-Loss Spectroscopy in the Electron Microscope, 2nd edition Particle picture of scattering

More information

國立交通大學 電子物理研究所 博士論文 微結構鐵磁系統的磁矩翻轉和磁電傳輸性質. Magnetization Reversal and Magneto-transport in Patterned Ferromagnetic Systems 研究生 : 鍾廷翊 指導教授 : 許世英

國立交通大學 電子物理研究所 博士論文 微結構鐵磁系統的磁矩翻轉和磁電傳輸性質. Magnetization Reversal and Magneto-transport in Patterned Ferromagnetic Systems 研究生 : 鍾廷翊 指導教授 : 許世英 國立交通大學 電子物理研究所 博士論文 微結構鐵磁系統的磁矩翻轉和磁電傳輸性質 Magnetization Reversal and Magneto-transport in Patterned Ferromagnetic Systems 研究生 : 鍾廷翊 指導教授 : 許世英 中華民國九十八年五月 微結構鐵磁系統的磁矩翻轉和磁電傳輸性質 Magnetization Reversal and Magneto-transport

More information

Finite Interval( 有限區間 ) open interval ( a, closed interval [ ab, ] = { xa x b} half open( or half closed) interval. Infinite Interval( 無限區間 )

Finite Interval( 有限區間 ) open interval ( a, closed interval [ ab, ] = { xa x b} half open( or half closed) interval. Infinite Interval( 無限區間 ) Finite Interval( 有限區間 ) open interval ( a, b) { a< < b} closed interval [ ab, ] { a b} hal open( or hal closed) interval ( ab, ] { a< b} [ ab, ) { a < b} Ininite Interval( 無限區間 ) [ a, ) { a < } (, b] {

More information

Statistics and Econometrics I

Statistics and Econometrics I Statistics and Econometrics I Probability Model Shiu-Sheng Chen Department of Economics National Taiwan University October 4, 2016 Shiu-Sheng Chen (NTU Econ) Statistics and Econometrics I October 4, 2016

More information

請見下一頁 (Please refer to next pages).

請見下一頁 (Please refer to next pages). 號碼 (No.): CE/2009/C0670 日期 (Date): 2009/12/09 頁數 (Page): 1 of 8 以下測試樣品係由客戶送樣, 且由客戶聲稱並經客戶確認如下 (The following samples was/were submitted and identified by/on behalf of the client as): 樣品名稱 (Sample Description)

More information

SIMPLE Algorithm for Two-Dimensional Flow - Fluid Flow and Heat Transfer

SIMPLE Algorithm for Two-Dimensional Flow - Fluid Flow and Heat Transfer SIMPLE Algorithm for Two-Dimensional Flow - Fluid Flow and Heat Transfer by Professor Jung-Yang San Mechanical Engineering Department National Chung Hsing University Two-dimensional, transient, incompressible

More information

Boundary Influence On The Entropy Of A Lozi-Type Map. Cellular Neural Networks : Defect Patterns And Stability

Boundary Influence On The Entropy Of A Lozi-Type Map. Cellular Neural Networks : Defect Patterns And Stability Boundary Influence On The Entropy Of A Lozi-Type Map Yu-Chuan Chang and Jonq Juang Abstract: Let T be a Henon-type map induced from a spatial discretization of a Reaction-Diffusion system With the above-mentioned

More information

Lecture Notes on Propensity Score Matching

Lecture Notes on Propensity Score Matching Lecture Notes on Propensity Score Matching Jin-Lung Lin This lecture note is intended solely for teaching. Some parts of the notes are taken from various sources listed below and no originality is claimed.

More information

4 內流場之熱對流 (Internal Flow Heat Convection)

4 內流場之熱對流 (Internal Flow Heat Convection) 4 內流場之熱對流 (Intenal Flow Heat Convection) Pipe cicula coss section. Duct noncicula coss section. Tubes small-diamete pipes. 4.1 Aveage Velocity (V avg ) Mass flowate and aveage fluid velocity in a cicula

More information

Ch. 8 Thermochemistry 熱化學

Ch. 8 Thermochemistry 熱化學 Ch. 8 Thermchemistry 熱化學 8-1: Principes eat Fw 1. State Prperties. Directin and Sin eat Fw 3. Manitude eat Fw 8-: Measurement eat Fw;Carimetry 1. Cee-Cup Carimeter. Bmb Carimeter 8-3: Enthapy Δ 8-4: Thermchemica

More information

Earth System Science Programme. Academic Counseling 2018

Earth System Science Programme. Academic Counseling 2018 Earth System Science Programme Academic Counseling 2018 1 Global Environmental Change 全球環境變化 Climate Change Air pollution Food Security Public Health Biodiversity Water pollution Natural Disasters 2 課程內容

More information

Chapter 7. The Quantum- Mechanical Model of the Atom. Chapter 7 Lecture Lecture Presentation. Sherril Soman Grand Valley State University

Chapter 7. The Quantum- Mechanical Model of the Atom. Chapter 7 Lecture Lecture Presentation. Sherril Soman Grand Valley State University Chapter 7 Lecture Lecture Presentation Chapter 7 The Quantum- Mechanical Model of the Atom Sherril Soman Grand Valley State University 授課教師 : 林秀美辦公室 : 綜合二館 302B TEL: 5562 email:hmlin@mail.ntou.edu.tw 評量方式

More information

基因演算法 學習速成 南台科技大學電機系趙春棠講解

基因演算法 學習速成 南台科技大學電機系趙春棠講解 基因演算法 學習速成 南台科技大學電機系趙春棠講解 % 以下程式作者 : 清大張智星教授, 摘自 Neuro-Fuzzy and Soft Computing, J.-S. R. Jang, C.-T. Sun, and E. Mizutani 讀者可自張教授網站下載該書籍中的所有 Matlab 程式 % 主程式 : go_ga.m % 這是書中的一個範例, 了解每一個程式指令後, 大概就對 基因演算法,

More information

新世代流式細胞儀. Partec GmbH from Münster Germany 派特科技有限公司

新世代流式細胞儀. Partec GmbH from Münster Germany 派特科技有限公司 新世代流式細胞儀 Partec GmbH from Münster Germany 派特科技有限公司 螢光細胞染色技術 Fluorescence Based Flow Cytometry Invented in 1968 in the University of Münster, Germany at the Institute of Radiobiology by Professor Dr.Wolfgang

More information

Ph.D. Qualified Examination

Ph.D. Qualified Examination Ph.D. Qualified Examination (Taxonomy) 1. Under what condition, Lamarckism is reasonable? 2. What is the impact to biology and taxonomy after Darwin published Origin of Species? 3. Which categories do

More information

CapXon. History. Quality Policy. General Information

CapXon. History. Quality Policy. General Information History 90 Capxon Electronic Ind. Co., Ltd. established with manufacturing aluminum electrolytic capacitor. 9 Bought a new building in Shi Chih Town, and started to invest automatic manufacturing machines.

More information

ANSYS 17 應用於半導體設備和製程的應用技術

ANSYS 17 應用於半導體設備和製程的應用技術 ANSYS 17 應用於半導體設備和製程的應用技術 1 李龍育 Dragon CFD 技術經理 虎門科技 虎門科技 CADMEN 虎門科技股份有限公司, 創立於 1980 年, 提供客戶全球最優質的工程分析軟體 ANSYS 與技術服務 總公司 : 新北市板橋區 台中分 : 台中市文心路 台南分 結構強度分析 ANSYS Mechanical 落摔分析 ANSYS LS-DYNA 散熱與熱流場分析 ANSYS

More information

適應控制與反覆控制應用在壓電致動器之研究 Adaptive and Repetitive Control of Piezoelectric Actuators

適應控制與反覆控制應用在壓電致動器之研究 Adaptive and Repetitive Control of Piezoelectric Actuators 行 精 類 行 年 年 行 立 林 參 理 劉 理 論 理 年 行政院國家科學委員會補助專題研究計畫成果報告 適應控制與反覆控制應用在壓電致動器之研究 Adaptive and Repetitive Control of Piezoelectric Actuators 計畫類別 : 個別型計畫 整合型計畫 計畫編號 :NSC 97-2218-E-011-015 執行期間 :97 年 11 月 01

More information

Revised Dynamic Optimal Training of Three-Layer Neural Network

Revised Dynamic Optimal Training of Three-Layer Neural Network 國立交通大學 電機與控制工程學系 碩士論文 三層類神經網路的改良式動態最佳學習 Revised Dynamic Optimal Training of Three-Layer Neural Network 研究生 : 林書帆 指導教授 : 王啟旭教授 中華民國九十五年十月 1 三層類神經網路的改良式動態最佳學習 Revised Dynamic Optimal Training of Three-Layer

More information