MIOCENE PLEUROTOMARIIDAE FROM NANTOU PREFECTURE, CENTRAL TAIWAN. 1

Size: px
Start display at page:

Download "MIOCENE PLEUROTOMARIIDAE FROM NANTOU PREFECTURE, CENTRAL TAIWAN. 1"

Transcription

1 Bull. Chin. Malacol. Soc. 中國貝詰 2:21-31 (1 975) MIOCENE PLEUROTOMARIIDAE FROM NANTOU PREFECTURE, CENTRAL TAIWAN. 1 C. C. Lin Department of Geology, National Taiwan University Taipei, Taiwan, R. O. C. ABSTRACT The famous living fossil Pleurotomaria are very rare in Cenozoic strata and modern sea. Taiwan is one of the five irnportant localities of the living Pleurotomaria in the world. The other localities are Japan, West Indies, Indonesia, and southern Africa. Four of the fifteen living species were found from Taiwan: Entemnotrochus rumphii (Schepman), PerotrochuHeramachíiKuro 曲, Mikadotrochus salmiana (Rolle) and!vl. hirasei ( 即如 y). No fossilpleurotomaria has been reported from Taiwan before. Three new species of Miocene Pleurotomaria to be described were collected by Mr. and Mrs. Chang-wu Pan from the middle? Miocene Nankang Formation of Chungliaohsiang, Nantou Prefecture, central Taiwan in Feb In honour of the collectors and fossillocality, 1 wish tω O name them a 泌 s siuyingae 2 Perot 佇 roc 吶 huωsnaωant, 的 ouen. 衍 s 的 s ACKNOWLEDGEMENTS 前 le writer expresses his sincere thanks to Mr. and Mrs. Chang-wu Pan, who offered such interesting, rare and important fossil pleurotomariids for my study. 1 would also like to thank Drs. H.Oz 也 i, S. Hayasaka, I. Fujiyama and M. Omori for their literature survey. Acknowledgement is also due to the National Science Council for supporting this study. lreport of "the Choshui and Tatu River Valley Project in Environmenta1 and Anthropological Research", sponsored by the National Science Counc i1. 2 Living P1eurotomariids are: Perotrochus Quoyana (Fischer and Bernard, 1856): P. africanus (Tomlin, 1948), P. teramachii Kuro 曲, 1955 ; P. geml 掏出 yer, 1965; P. lucaya Bayer, 1965; P. midas Bayer, 1965, P. pyramus Bayer, 1967; P. atlanticus Rios and Matthews, 1968; Mikadotrochus beyrichi (H i1gendorf, 1877); M. hirasei (Pi1sbry, 1903); M salmiana (RoUe, 1899); M. schmalzi Shikama, 1961; M. amabilis Bay 缸, 1963; Entemnotrochus adansonianus (Crosse and Fischer, 1861); 互 rumphii (Schepman, 1879). Among these, Mikadotrochus salmiana and M schmalzi may be synonymous.

2 22 C. C. Lin FORMER STUDlES ON NEOGENE PLEUROTOMARIIDAE FROM EASTERN ASIA ln 1955, T. Kuroda expressed the view that Tertiary and recent Pleurotomariidae should be separated from those of Mesozoic and Paleozoic species, because of their different special characteristics and different geologicaj age, and the modern forms can be represented by three genera: Perotrochus P. Fischer 1885, Mikadotrochus Lindholm 1927, and Entemnotrochus P. Fischer, His opinion was accepted by most Japanese malacologists and paleontologists. Treatise on Invertebrate Paleontology" Part 1, Mollusca 1, written by L.R. Cox, Brookes Kn ight et al.,directed and edited by Raymond C. Moore, 1960 also followed Kuroda's opinion. But R. Tucker AbL ott (1 974) considered E 川 emnotrochωand Mikadotrochus as subgenera under Perotrochus. Kuroda's above opinion is to be accepted by the author in his report. Tertiary pleurotomarian fossils in East Asia have been found only in Japan before. In 1932 Shichihei Nomura and Hiroshi Niino first reported 4 deformed specimens of Pleurotomariayabei Nomura and Niino (or Mikadotrochus yabei (Nomura and Niino)) from the Miocene Shirahama Group of Izu Peninsula and the Hakone district, Central Japan. ln 1954, Hiroshi Ozaki described Pleurotomaria prope-hirasei Ozaki (or Perotrochus prope-hirasei (Ozaki)) from the basal conglomerate of Pliocene in Tyosi City, Kanto Region. ln 1955, Katsumi Hirayama reported the occurrence of Perotrochus sp. from the Miocene Kobana" Formation of Kutsukake, Iono-mu 悶, Tochigi Prefecture, Northeastern Japan. In 1958, Ozaki described Perotrochus aosimai Ozaki (or Mikadotrochus aosimai (Ozaki)) from the Pliocene Na-arai Formation of Cape lnuwaka, Tyosi City. In 1961 Saburo Kanno reported the occurrence of Perotrochus otoensis Kanno from the Miocene basal Kobana Formation, at Oto, lono-mu 悶, Tochigi Prefecture. In 1973, Yasumitsu Kanie reported Entemnotrochus shikamai Kanie from the Miocene Senhata conglomerate member of the Miura Group, from Nokogiri-yama, Boso Peninsula, Central Japan. In 1967, Masae Omori figured two 'Perotrochus" from Neogene formation of Shishihara tunnel, Chiba Prefecture and Abuzuri, Kanagawa Prefecture, but without their description. In 1973, Tokio Shikama described Perotrochus (?) aoshimai Ozaki (or Mi 如 dotrochus aosimai (Ozaki)) and MikadotrochuηJ osiwarai (Oz 法 i) (or Perotrochus yoshiwarai (Ozaki)) from the basal part of the Pliocene Zushi Formation at the Sakurayama Loc. 3, Miura Peninsul DESCRIPTION OF SPECIES Order Archaeogastropoda Thiele, 1925 Suborder Pleurotomariina Cox and Knight, 1960 Superfarni1y Pleurotomariacea Swainson, 1840

3 Miocene PleurotomafÜdae from Taiwan '23 Family Pleurotomarüdae Swainson, 1840 Genus Mikadotrochus Lindholm, 1927 Mi. 如 dotrochus nantouen 月的 Lin, n. sp. Holotype: Pl. 1, la-d;pl. m la-d. Paratype: Pl. {, 2a-b ;PL m 2a-b. Shell trochiform, moderate in size, broader than high, with apica1 angle about 8 前, m 位 imum diameter of holotype 105 mm, height 78 mm, shell thick, but most part dissolved, with six or seven whorls, but only fpur whorls of holotype and less than three adult whorls of paratype are preserved, whorl subglobu1ar or somewhat obtuse1y angular, separated by well defmed sutures, with narrow shoulder at thetop; height of whorl is 34 mm near the aperture; 1ast whorl blunt1y angular at the periphery of base; base genera11y f1at, but weakly globulate, surface of base smooth; aperture subquadratic in outline with sm a11 operculum; operculum round, with concentric striae, about 17 mm in diameter, preserved in holotype specimen; base narrow1y phanelompha1us (distinctly preserved in paratype specimen), with stout co1umellar 缸 is of unknown shape; 1abra1 siit invisib1e, but may be short, because there is no visib1e trace of slit on whorl where the operculum is preserved; se1enizone at above mid-whorl, moderately broad, about 4 mm in width on its last whorl, lower and upper margins of the selenizone weakly project; lower margin of selenizone at last whorl at about 12 mm above the lower margin of the whorl, and upper margin of selenizone at about 7 mm below suture 1ine; surface ornamented by smooth revolving fme striations of less than one mm in width. Deposito Y) 人. Both holotype and paratype in Pan's collection. Locality and Formation: Both specimens obtained from the middle (?) Miocene Nankang Formation at upstream of the Takeng Va11ey, Chungliaohsiang, Nantou Prefecture, Taiwan. Comparison: The speci 剖 characteristics of genus Mi 如 dotrochus ue: 1) Shell trochiform, rather large and heavy; 2) narrowly phanerorr 叭 a1 us, with ve 可 thick and stout sigmoida1 collumbella, and a notch of moderate length; 3) whorls feebly convex, last one rounded or subangular at periphery of base; 4) labra1 slit broad, extending around 0.12 of last whorl or less, its upper margin produced beyond lower margin and merging into strongly procline, convex labrum; 5) selenizone broad, flush, spira11y grooved, below mid-whorl, slit band much inferiorly on the whorl; 6) ornament obscurly nodose spira1 cords. Although the preservation of the shell is inperfect, the present two fossils may be refered to Mi

4 24 C. C. Lin shou1der po 此 ion under the suture line; and 3) the base is smooth (yabei has numerous elevated ridges as well as radial threads). M. nantouensisis also different from M. aosimai (Ozaki, 1958), because aosimai has a broader apical angle (about ), near1y straight outer margin of whorls, more indistinct suture line, narrower selenizone (about 1 mrn), which is below the mid-whorl. The new species 也 o resembles Japanese Miocene Mikadotrochus otoensis (Kanno, 1961 吋 ), bu 叫 I 此 t di 証 ffers 台 f rom ot, 的 oens 叫呱圳 si, 必糾 s 叫 i 閃 m 函 0.743, otoensis is 0.721), 2) selenizone on otoensis is at mid-whorl; 3) lower margin of selenizone in otoensis is obtusely keeled; 4) basal disc of otoensis slightly swollen with 40 spiral threads separated with interspaces broader than width of spir 叫 threads; 5) otoensis has false umbilicus and weakly sigmoidal columel1ar axis nantouensis also resembles J apanese living Mikadotrochus beyrichi (di1gendorf, 1877), but position of selenizone and surface ornamentation are quite different. Genus Entemnotrochus P. Fischer, 1885 Entemnotrochus panchangwui Lin n. sp. Pl. 11, 3a-d; Pl.lV, 3a-d. Shell trochiform, rather large, spire hi 嶼, 月 100 mm, Dn 89 mrn, height 105 mrn, thin, 蝴 er thumade=i 器 = 1.050), wit 川 ical 呵 e 枷 ut 70 0, n d 也 is 鈴 ti 恤 ncωt, with narrow shoulder; whorl obtusely angular, lower half nearly vertica1; base weakly globulate, with curved growth striations; umbilicus large and deep, perforated, maximum diameter about 25 mm; slit long, 112 mm in length (ratio is.0.640); selenizone at about mid-whorl, (lower part about 22 mrn, upper part about 15 mm at last whorl), very narrow (about one mm in width), upper and lower margins of selenizone we 也 ly project; lower margin of apertural portion broken off; surface nearly smooth for its ill-preservatìon of shel1, but partly preserved fine spiral striations and near1y vertical growth striae. Depository: Holotype preserved in Pan's Collection. Locality and Formation: The single specimen obtained from the middle (ηmiocene Nankang Formation at upstream of the Takeng Valley, Chungliaohsiang, Nantou Prefecture, T 剖 wan. Comparison: E. panchangwui is closely related to the living species of E. rumphii (Schepm 血, 1879), which were found abundantly from the northwestern sea off Taiwan island during the past several years, but is distinguishable from the latter species by having: 1) fewer whorls, 2) hi 拉 er spire, 玲也 orter slit and 叫 ofs 叩 pi 仕 re 吼, 6 仿 ) narrower umbillicus, etc. E. panchangwui is also different from the recent species of E. adansonianus (Cross and Fischer, genotype) in 1) form of spire, 2) position and breadth of selenizone, 3) size of umbilicus, 4) form and ornament of base, etc.

5 Miocene Pleurotomariidae from Taiwan 25 2) sm 叫 l This new speωs IS 的 o different from Miocene E. shikamai Kanie in 1) outline of s 叩 pi 加昀吭, i 筒 i 若 j 技 i=0946), 4) 組 orter lab 叫 slit (the latter species with slit le 叫 I whor 吋 1). Entemnotrochus siuyingae Lin n. sp. Pl. 11, 4a-d; Pl. lv, 4a-c. Shell turbiniform, small, thin, maximum diameter of the whorl 75 mm, rninimum diameter 55 mm, height about 57 mm, apical angle about 80 v ; suture indistin 仗, surface margin of whorl nearly flat; base weakly globulate, with curved growth lines, periphery bluntly angled; umbilicus distinct and round, maximum diameter about 10 mm; slit invisible; selenzone narrow, less than one mm in width; position of selenizone below mid-wh 叫諧的 last and penultimate w 咐咖 h 切 orls, but nearly at rnid-whorl in younger stage; apertural portion broken; shell surface ornamented by many, fine, revolving, spiral threads (nine below and six above selenizone on the penultimate whorl), and crossed by fine growth lines which are somewhat oblique above and vertical below the selenizone, forrning regularly arranged, fme, beaded surface; interspaces of the revolving threads are narrow and shallow. Depository: Holotype preserved in Pan's Collection. Localiσ and Formation: Obtained from the Middle (?) Miocene Nankang Formation at upstream of the Takeng Valley, Chungliaohsiang, Nautou Prefecture, Taiwan. Compa/ 吻 on: This species is quite different from other living and fossil Entemnotrochus in its smaller size and position of selenizone. LITERATUkE CITED Abbott. R. T., 1974; American Seashells; pp Cox L. R., Brookes Knight, et al., 1960; Systematic Descriptions of Gastropoda in Treatise on Invertebrate Paleontology" directed and edited by Raymond C. Moore (1) Mollusca 1, , (Suborder Pleurotomariina, Superfarni1y Pleurotomariacea, Family Pleurotomariidae ). 1955; Discovery of Perotrochus in the Miocene deposits of Tochigi Prefecture, HirayamaφK., Kanno. Japan; Venus XVIII, Kanie, Yasumitsu, 1973; A new species of Miocene Entelηnotrochus from the south Nokogiriyama, Boso Peninsula, Japan; Sci. Rep. Yokosuka City Museum, no. 20, S., 1961, Miocene 'Pleurotomaria" and its associated fauna from 10chigi Prefecture, Japan; Jap. J. Geol. Geogr., No. 32, Kuroda, T.1955; A New Pleurotomaria from Japan, with a note on a specimen of P. rumphii Schepman collected from Taiwan; Venus XVIlI,

6 26 C. C. Lin Nomura, S. and Nüno, H. 1932; Fossil mollusca from lzu and Hakone; Sci. Rep. Tohoku Imp. U, 帥, 2nd. Ser. B (Geology) XV, 大森昌 1 括 : 1967; 中部鬥本第三紀後期泣如付石 "pleurotomaria" 海逃犯 "'":)\, τ; 終因秀質教授 退官司念論文麓, Oz 也 i, H. 1954; On the Paleontology of the basa1 conglomerate ofpliocene in Tyosi City, Kanto region;bull. Nat. Sci. Mus., N. S.I, no.l, Ozaki, H. 1958; Stratigraphica1 and pa1eontologica1 studies on the Neogene and Pleistocene Formation of the Tyosi district; Bull. Nat. Sci. Museum (Tokyo), no.42: Sikarr 嗨 T. 1973; Molluscan assemblages of the basa1 pa-rt of the Zushi Formation in the Miura Peninsula;Tohoku Univ. Sci. Rep., ser. B (Geol.) Special Volume, no. 6: 臺灣省南投縣立中新世翁或螺科化石 林手月品已 國立臺灣大學地質學系 摘要 世界有名之活化右 翁吾先螺 J, 在新生代地層及現海中甚為稀罕 堂閉近海為世界現生翁或螺之 五個重要產地之一 其他四處 f.;í 日本, 西印度 印尼及南非 空崗近海出產現生十五種中之四種, 自 IJ 龍宮翁我螺 寺阿氏章主主立蛾 ; 高腰翁我螺及籽, 色畫畫我螺 遠東之新生代翁我螺化石, 也被採到十種, 均產於日本之第三紀始新 iij: 中新世及上新世地層中 o 台新世一種, 中新世及上新世九種 本文再添 加三種南投縣所產之中國第三紀翁我螺化石, 使遠東之新生代翁吾先螺連至十三種之多 此三新種翁我螺化石乃 南投翁我螺 J ( 悶版 1 即 ) 潛常武翁我螺 J ( 圖版 IL 3a 吋 IV, 3a-d ) 及 秀英 翁我螺 J ( 圖版 IL 但 -d ; IV, 4a-c ) 筆者在本文中詳細記載此三種畫灣中新世翁我螺化石之特徵及 其與各近似種之比較, 同時以照相 ; 及繪圖表示其形像 著者借此機會, 對採取者諸常武先生 秀英女士夫婦表示敬范 ; 與謝意 本研究乃行政院國家科學琴只會主按之 華商濁水 大肚兩溪流域自然與文化史科際研究計刮 中地質組業績之一部份, 對該委員會之經費支援亦深表謝忱 著者同時對提供文獻之日本古生物學者尾時傳 大森昌衛 早圾祥三 藤山家德等諸位博士敬表謝意

7 Miocene P leurotomariidae from Taiwan 27 EXPLANATION OF PLATES Pl. 1 la, b, c, d: Mìkadotrochus nantoensis Lin, n. sp, holotype la: Apertural view (with operculum); (xo.8) 1 b: Side view; (xo.67) 1 c: Apical view; (xo.58) 1 d: Basal view; (xo.5y) 泊, b: Mìkadotrochus nantouensis Lin, n. sp., paratype. 2a: Apertural view; 但 0.68) 2b: Basal view; (xo.63) Pl. 11 3a, b, c, d: Entemnotrochus panchangwuì Lin, n. sp. 3a: Apertural view; (xo.61) 3b: Side view; 如 0.76) 3c: Apical view; (xo.74) 3d: Basal view; (xo.62) 4a, b, c, d: Entemnotrochus sìuyingae Lin, n. sp. 4a: Apertural view; 但 0.74) 4b: Side view; (xo.71) 4c: Apical view; 如 0.90) 4d: Basal view; (xo.77) Pl. III 1 a, b: Mikadotrochus nantouensis Lin, n. sp. holotype 1 a: Apertural view; s: preserved selenizone fragment 1 b: Side view; lc, d: Mikadotrochus nantouensislin, n. sp. holotype Pl. IV 3a, b: Entemnotrochus panchangwui Lin, n. sp. holotype 3a: Apertural view; 3b: Side view; 3c, d: Entemnotrochus panchangwui Lin, n. sp. holotype 3c: Apical view; 3d: Basal view; 4a, b, c: Entemnotrochus siuyingae Lin, n. sp. holotype 4a: Apertura! view; 4b: Apica1 view; 4c: Basal view;

8 .28 c. C. Lin 10 1d A可EE-hU

9 M;ocene Pleurotomariidae from Taiwan 29 一一一一一 30

10 30 C. C. Lin PI. III 1c CM

11 Miocene Poeurotomariidae from Taiwan 31 PI. N

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

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

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

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

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

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

Burmannia cryptopetala Makino (Burmanniaceae), a Newly Recorded Plant in Taiwan

Burmannia cryptopetala Makino (Burmanniaceae), a Newly Recorded Plant in Taiwan Taiwania, 50(4): 302-306, 2005 Burmannia cryptopetala Makino (Burmanniaceae), a Newly Recorded Plant in Taiwan Tsai-Wen Hsu (1,2), Ho-Ming Chang (1,3), Sheng-Hsin Su (4), Shih-Wen Chung (5) and Jenn-Che

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

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

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

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

= 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

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

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

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

大原利明 算法点竄指南 点竄術 算 額 絵馬堂

大原利明 算法点竄指南 点竄術 算 額 絵馬堂 算額 大原利明 算法点竄指南 点竄術 算 額 絵馬 絵 馬 絵馬堂 甲 一 乙 二 丙 三 丁 四 戊 五 己 六 庚 七 辛 八 壬 九 癸 十 十五 二十 百 千 甲 乙 丙 丁 傍書法 関孝和 点竄術 松永良弼 甲 甲 甲 甲 甲 乙 甲 甲 乙 甲 乙 甲 乙 甲 乙 丙 丁 戊 a + b 2 c 甲 a a 二乙 2 b b 2 小 c c SOLVING SANGAKU 5 3.1.

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

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

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

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

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

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

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

Numbers and Fundamental Arithmetic

Numbers and Fundamental Arithmetic 1 Numbers and Fundamental Arithmetic Hey! Let s order some pizzas for a party! How many pizzas should we order? There will be 1 people in the party. Each people will enjoy 3 slices of pizza. Each pizza

More information

Serials Subscription 2018/19 : Department of Chinese. Lingnan University Fong Sum Wood Library Collection Development and Gift & Exchange

Serials Subscription 2018/19 : Department of Chinese. Lingnan University Fong Sum Wood Library Collection Development and Gift & Exchange 1. American journal of Chinese studies [SER] DS701.A44 2166-0042 (P) 2. Chinese literature, essays, articles, reviews = 中國文學 [SER] PL2250.C456 0161-9705 (P) 3. Contemporary Chinese thought [SER] B1.C45

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

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

Ministry of Sciences and Technology, Chinese Academy of Sciences as well as some international pharmaceutical companies.

Ministry of Sciences and Technology, Chinese Academy of Sciences as well as some international pharmaceutical companies. Ren-Xiao WANG Professor, PhD Macau Institute for Applied Research in Medicine and Health, State Key Laboratory for Quality Research in Chinese Medicines Macau University of Science and Technology Prof.

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

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

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

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

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

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

允許學生個人 非營利性的圖書館或公立學校合理使用本基金會網站所提供之各項試題及其解答 可直接下載而不須申請. 重版 系統地複製或大量重製這些資料的任何部分, 必須獲得財團法人臺北市九章數學教育基金會的授權許可 申請此項授權請電郵

允許學生個人 非營利性的圖書館或公立學校合理使用本基金會網站所提供之各項試題及其解答 可直接下載而不須申請. 重版 系統地複製或大量重製這些資料的任何部分, 必須獲得財團法人臺北市九章數學教育基金會的授權許可 申請此項授權請電郵 注意 : 允許學生個人 非營利性的圖書館或公立學校合理使用本基金會網站所提供之各項試題及其解答 可直接下載而不須申請 重版 系統地複製或大量重製這些資料的任何部分, 必須獲得財團法人臺北市九章數學教育基金會的授權許可 申請此項授權請電郵 ccmp@seed.net.tw Notice: Individual students, nonprofit libraries, or schools are

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

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

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

2015 年度研究活動報告理工学術院 先進理工 応用物理学科小澤徹 Department of Applied Physics, Waseda University

2015 年度研究活動報告理工学術院 先進理工 応用物理学科小澤徹 Department of Applied Physics, Waseda University 2015 年度研究活動報告理工学術院 先進理工 応用物理学科小澤徹 Tohru OZAWA Department of Applied Physics, Waseda University 出版された論文 R. Carles, T. Ozawa Finite time extinction for nonlinear Schrödinger equation in 1D and 2D, Commun.

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

Na LI. Professional Chronology:

Na LI. Professional Chronology: Na LI Assistant Professor, PhD Macau Institute for Applied Research in Medicine and Health State Key Laboratory for Quality Research in Chinese Medicines Macau University of Science and Technology Tel.:

More information

Keywords: tephra, refractive index, Tama Loam, Kiyokawa Formation, Shimosa Group, Middle Pleistocene

Keywords: tephra, refractive index, Tama Loam, Kiyokawa Formation, Shimosa Group, Middle Pleistocene Tsutomu akazawa, Hiroomi akazato, Taku Komatsubara, and Hitoshi Tsukamoto (23) Reexamination of correlation between Middle Pleistocene marker tephras TB-8 and Ky3, Kanto, central Japan. Bull. Geol. Surv.

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

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

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

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

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

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

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

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

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

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

Ancient West Asian Civilization as a foundation of all modern civilization New Geological and Archaeological Academic Research in Japan

Ancient West Asian Civilization as a foundation of all modern civilization New Geological and Archaeological Academic Research in Japan Ancient West Asian Civilization as a foundation of all modern civilization New Geological and Archaeological Academic Research in Japan Ken-ichiro Hisada University of Tsukuba, Japan 現生人類 (Homo sapience)

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

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

心智科學大型研究設備共同使用服務計畫身體 心靈與文化整合影像研究中心. fmri 教育講習課程 I. Hands-on (2 nd level) Group Analysis to Factorial Design

心智科學大型研究設備共同使用服務計畫身體 心靈與文化整合影像研究中心. fmri 教育講習課程 I. Hands-on (2 nd level) Group Analysis to Factorial Design 心智科學大型研究設備共同使用服務計畫身體 心靈與文化整合影像研究中心 fmri 教育講習課程 I Hands-on (2 nd level) Group Analysis to Factorial Design 黃從仁助理教授臺灣大學心理學系 trhuang@ntu.edu.tw Analysis So+ware h"ps://goo.gl/ctvqce Where are we? Where are

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

Curriculum Vitae. Dr. Tzu-Chien Chiu (Clara Chiu) 邱子虔

Curriculum Vitae. Dr. Tzu-Chien Chiu (Clara Chiu) 邱子虔 Email Address: tc423@columbia.edu Curriculum Vitae Dr. Tzu-Chien Chiu (Clara Chiu) 邱子虔 Professional Appointment: Jan 2008 ~ July 2011 Assistant Research Fellow (Institute of Earth Sciences, Academia Sinica,

More information

侯宏誼研究簡歷 一. 學歷民國 96 年 11 月 : 雲林科技大學工程科技博士民國 89 年 06 月 : 雲林科技大學環境與安全工程研究所工學碩士民國 87 年 06 月 : 東海大學環境科學系理學學士二 主要著作 ( 一 ) 英文學術性期刊論文

侯宏誼研究簡歷 一. 學歷民國 96 年 11 月 : 雲林科技大學工程科技博士民國 89 年 06 月 : 雲林科技大學環境與安全工程研究所工學碩士民國 87 年 06 月 : 東海大學環境科學系理學學士二 主要著作 ( 一 ) 英文學術性期刊論文 研究簡歷 一. 學歷民國 96 年 11 月 : 雲林科技大學工程科技博士民國 89 年 06 月 : 雲林科技大學環境與安全工程研究所工學碩士民國 87 年 06 月 : 東海大學環境科學系理學學士二 主要著作 ( 一 ) 英文學術性期刊論文 1. Y. P. Chou, H. Y. Hou, R. H. Chang, M. L. You, J. Y. Peng, and C. M. Shu, 2009

More information

2012 AP Calculus BC 模拟试卷

2012 AP Calculus BC 模拟试卷 0 AP Calculus BC 模拟试卷 北京新东方罗勇 luoyong@df.cn 0-3- 说明 : 请严格按照实际考试时间进行模拟, 考试时间共 95 分钟 Multiple-Choice section A 部分 : 无计算器 B 部分 : 有计算器 Free-response section A 部分 : 有计算器 B 部分 : 无计算器 总计 45 题 /05 分钟 8 题,55 分钟

More information

Austroeupatorium inulifolium (Kunth) King & Robinson (Asteraceae), a Newly Naturalized Plant in Taiwan

Austroeupatorium inulifolium (Kunth) King & Robinson (Asteraceae), a Newly Naturalized Plant in Taiwan Taiwania, 51(1): 41-45, 2006 Austroeupatorium inulifolium (Kunth) King & Robinson (Asteraceae), a Newly Naturalized Plant in Taiwan Tsai-Wen Hsu (1,2), Ching-I Peng (3) and Chiu-Mei Wang (4,5) (Manuscript

More information

Tutorial Courses

Tutorial Courses 網址 : www.headway.edu.hk 教育局註冊編號 : 534463, 534471 Headway Education 進佳教育 2015-16 Tutorial Courses The SuperChemistry Series 頂尖名師課程系列 查詢報名熱線 : 2789 2069 校址 : 九龍西洋菜北街 155 號嘉康中心 3 樓 ( 太子地鐵站 A 出口, 旺角警署側, 大廈入口位於運動場道

More information

GRASS 入門 Introduction to GRASS GIS

GRASS 入門 Introduction to GRASS GIS 40 th GIS seminar GRASS 入門 Introduction to GRASS GIS 筑波大学生命環境科学研究科地球環境科学専攻空間情報科学分野 花島裕樹 email:hanashima@geoenv.tsukuba.ac.jp http://grass.osgeo.org/ 18 th December, 2008 Geographic Resource Analysis Support

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

偏微分方程及其应用国际会议在数学科学学院举行

偏微分方程及其应用国际会议在数学科学学院举行 1 偏微分方程及其应用国际会议在数学科学学院举行 2007 年 5 月 28 日至 31 日, 偏微分方程及其应用国际会议 (International Conference on PDEs and Applications) 在北京师范大学数学科学学院举行 国际著名数学家, 世界数学家大会一小时报告人, 美国科学院院士,University of Texas at Austin 教授 Luis Caffarelli

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

植物生理 藻類起源與質體 Origins of Algae and their Plastids 李澤民海洋植物研究室海洋生物科技暨資源學系國立中山大學高雄台灣

植物生理 藻類起源與質體 Origins of Algae and their Plastids 李澤民海洋植物研究室海洋生物科技暨資源學系國立中山大學高雄台灣 植物生理 藻類起源與質體 Origins of Algae and their Plastids 李澤民海洋植物研究室海洋生物科技暨資源學系國立中山大學高雄台灣 plastid Chloroplast Chromoplast Proplastid Leuoplast, amyloplast Chloroplast R.R. Pyrenoid: RuBisco+stores Plastid origin

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

The Prospective Aspect of the Cosmogonic Models in Laozi and T iandi Teaching s Text

The Prospective Aspect of the Cosmogonic Models in Laozi and T iandi Teaching s Text The 2016 CESNUR Conference RELIGIOUS MOVEMENTS IN A GLOBALIZED WORLD: KOREA, ASIA, AND BEYOND The Prospective Aspect of the Cosmogonic Models in Laozi and T iandi Teaching s Text Anthro-Celestial Research

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

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

醫用磁振學 MRM 課程介紹與原理複習. Congratulations! Syllabus. From Basics to Bedside. You are HERE! License of Radiological Technologist 盧家鋒助理教授國立陽明大學生物醫學影像暨放射科學系

醫用磁振學 MRM 課程介紹與原理複習. Congratulations! Syllabus. From Basics to Bedside. You are HERE! License of Radiological Technologist 盧家鋒助理教授國立陽明大學生物醫學影像暨放射科學系 Congratulations! You are HERE! License of Radiological Technologist 醫用磁振學 MRM 課程介紹與原理複習 盧家鋒助理教授國立陽明大學生物醫學影像暨放射科學系 alvin4016@ym.edu.tw 2 From Basics to Bedside 磁振影像學 Magnetic Resonance Imaging http://www.ym.edu.tw/~cflu/cflu_course_birsmri.html

More information

The dynamic N1-methyladenosine methylome in eukaryotic messenger RNA 报告人 : 沈胤

The dynamic N1-methyladenosine methylome in eukaryotic messenger RNA 报告人 : 沈胤 The dynamic N1-methyladenosine methylome in eukaryotic messenger RNA 报告人 : 沈胤 2016.12.26 研究背景 RNA 甲基化作为表观遗传学研究的重要内容之一, 是指发生在 RNA 分子上不同位置的甲基化修饰现象 RNA 甲基化在调控基因表达 剪接 RNA 编辑 RNA 稳定性 控制 mrna 寿命和降解等方面可能扮演重要角色

More information

Morphological Variation in the Common Mackerel (Scomber japonicus) off Taiwan

Morphological Variation in the Common Mackerel (Scomber japonicus) off Taiwan J. Fi: 鉤. Soc. Taiwan, 34(2): 197 剖 5 Morphological Variation in the Common Mackerel (Scomber japonicus) off Taiwan Tzong-DerTzeng 1 * and Shean-Ya Yeh 2 (Received, May 1, 2007; Accepted, June 15, 200η

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

The Identity of Camellia buisαnensis Sasaki (Theaceae)

The Identity of Camellia buisαnensis Sasaki (Theaceae) Taiwan旬 49(3): 201-208, 2004 The Identity of Camellia buisαnensis Sasaki (Theaceae) Mong-Huai SU(I), ShenεZehn Yang(2) and Chang-Fu Hsieh (Manuscript received 20 July, 2004; accepted 19 August, 2004) ABSTRACT:

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

6. 地質圖 6.1 岩層於地形圖上的分布 6.2 地質剖面圖 6.3 地質圖判識 地調所五萬分之一地質圖台中圖幅

6. 地質圖 6.1 岩層於地形圖上的分布 6.2 地質剖面圖 6.3 地質圖判識 地調所五萬分之一地質圖台中圖幅 6. 地質圖 6.1 岩層於地形圖上的分布 6.2 地質剖面圖 6.3 地質圖判識 A geological shows how geological features (rock units, faults, etc.) are distributed across a region. It is a twodimensional representation of part of the Earth

More information

二国間交流事業共同研究報告書 共同研究代表者所属 部局独立行政法人理化学研究所 創発物性科学研究センター

二国間交流事業共同研究報告書 共同研究代表者所属 部局独立行政法人理化学研究所 創発物性科学研究センター ( 様式 4-1) 二国間交流事業共同研究報告書 平成 26 年 3 月 20 日 独立行政法人日本学術振興会理事長殿 共同研究代表者所属 部局独立行政法人理化学研究所 創発物性科学研究センター 量子情報エレクトロニクス部門 量子凝縮物性研究ク ルーフ ( ふりがな ) ノリフランコ職 氏名ク ルーフ テ ィレクター NORI FRANCO 1. 事業名相手国 ( ロシア ) との共同研究振興会対応機関

More information

MONOZKURI CITY HIGASHIOSAKA With ideas, technologies and hearts, Japan s Monozkuri delivered to the world

MONOZKURI CITY HIGASHIOSAKA With ideas, technologies and hearts, Japan s Monozkuri delivered to the world MONOZKURI CITY HIGASHIOSAKA With ideas, technologies and hearts, Japan s Monozkuri delivered to the world There is a word Monozkuri in Japan. The word does not just refer to production. It refers to the

More information

RSSR Mechanism with Constant Transmission Angle

RSSR Mechanism with Constant Transmission Angle 華岡工程學報第 1 7 期 中國文化大學工學院 民國 9 2 年 6 月第 69-78 頁 HUA KANG JO URNAL OF ENGINEERING COLLE GE OF ENGINEERING CHIN ESE CULTURE UNIVERSITY Jun e,2003,vo1.17,p.69-p.78 固定傳力角之 RS SR 機構 RSSR Mechanism with Constant

More information

允許學生個人 非營利性的圖書館或公立學校合理使用本基金會網站所提供之各項試題及其解答 可直接下載而不須申請. 重版 系統地複製或大量重製這些資料的任何部分, 必須獲得財團法人臺北市九章數學教育基金會的授權許可 申請此項授權請電郵

允許學生個人 非營利性的圖書館或公立學校合理使用本基金會網站所提供之各項試題及其解答 可直接下載而不須申請. 重版 系統地複製或大量重製這些資料的任何部分, 必須獲得財團法人臺北市九章數學教育基金會的授權許可 申請此項授權請電郵 注意 : 允許學生個人 非營利性的圖書館或公立學校合理使用本基金會網站所提供之各項試題及其解答 可直接下載而不須申請 重版 系統地複製或大量重製這些資料的任何部分, 必須獲得財團法人臺北市九章數學教育基金會的授權許可 申請此項授權請電郵 ccmp@seed.net.tw Notice: Individual students, nonprofit libraries, or schools are

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

Polyrhachis (Cyrtomyrma) debilis Emery, 1887 (Hymenoptera: Formicidae), a New Record of Ant Species in Taiwan

Polyrhachis (Cyrtomyrma) debilis Emery, 1887 (Hymenoptera: Formicidae), a New Record of Ant Species in Taiwan 科學短訊 台灣昆蟲 35: 143-147 (2015) Formosan Entomol. 35: 143-147 (2015) Polyrhachis (Cyrtomyrma) debilis Emery, 1887 (Hymenoptera: Formicidae), a New Record of Ant Species in Taiwan Chi-Man Leong, Yun Hsiao,

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

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

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

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

Adrien-Marie Legendre

Adrien-Marie Legendre Adrien-Marie Legendre Born: 18 Sept 1752 in Paris, France Died: 10 Jan 1833 in Paris, France 法国数学家 毕业于巴扎林学院 曾任军事学院和巴黎高师的数学教授, 并担任过政府许多部门的顾问, 后来担任艺术学院的学生监督, 直至 1833 年逝世 1783 年与 1787 年, 他先后被选为法兰西科学院院士和伦敦皇家学会会员

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

中華字經注釋本. Chinese Character Canon Commentary 第一冊. 中華字經國際書院 The Miktam of Chinese International Inc

中華字經注釋本. Chinese Character Canon Commentary 第一冊. 中華字經國際書院 The Miktam of Chinese International Inc 中華字經注釋本 Chinese Character Canon Commentary 第一冊 Volume One 中華字經國際書院 The Miktam of Chinese International Inc 中華字經注釋本 Chinese Character Canon Commentary 第一冊 Volume One 版權所有, 請勿複製! Copyright 2007 ALL RIGHTS

More information

Earth System Science Programme 地球系統科學課程 Tel: Fax:

Earth System Science Programme 地球系統科學課程 Tel: Fax: Earth System Science Programme 地球系統科學課程 Tel: 3943 9624 Fax: 3942 0970 Email: essc@cuhk.edu.hk 1 地球系統科學 Earth System Science 如果你 想瞭解地球系統如何運作 想擁有良好數理基礎, 又可應用科學知識參與解決 21 世紀的一些重大環境問題 ( 如全球環境變化 氣候轉變 空氣及水污染

More information

Thismia huangii (Thismiaceae), a New Species from Taiwan

Thismia huangii (Thismiaceae), a New Species from Taiwan Taiwania, 56(2): 138-142, 2011 Thismia huangii (Thismiaceae), a New Species from Taiwan Po-Yi Chiang (1) and Tsung-Hsin Hsieh (2*) 1. Department of Biological Sciences and Technology, National University

More information

Frequency Response (Bode Plot) with MATLAB

Frequency Response (Bode Plot) with MATLAB Frequency Response (Bode Plot) with MATLAB 黃馨儀 216/6/15 適應性光子實驗室 常用功能選單 File 選單上第一個指令 New 有三個選項 : M-file Figure Model 開啟一個新的檔案 (*.m) 用以編輯 MATLAB 程式 開始一個新的圖檔 開啟一個新的 simulink 檔案 Help MATLAB Help 查詢相關函式 MATLAB

More information

Hong Kong s temperature record: Is it in support of global warming? 香港的溫度記錄 : 全球暖化的證據?

Hong Kong s temperature record: Is it in support of global warming? 香港的溫度記錄 : 全球暖化的證據? Hong Kong s temperature record: Is it in support of global warming? 香港的溫度記錄 : 全球暖化的證據? Wyss W.-S. Yim 嚴維樞教授 Department of Earth Sciences, The University of Hong Kong / School of Energy & Environment, City

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

都市社會學專題討論 陳小紅國立政治大學社會系教授 2005 年春季

都市社會學專題討論 陳小紅國立政治大學社會系教授 2005 年春季 都市社會學專題討論 陳小紅國立政治大學社會系教授 2005 年春季 課題與主要參考文獻 Thomas S. Kuhn. The Structure of Scientific Revolutions, 2 nd, Enlarged, 1970. 以 發展 觀點論述都市社會之研究取向 * Alan Gilbert and Josef Gugler, Cities, Poverty and Development:

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

Study of Leaf Area as Functions of Age and Temperature in Rice (Oryza sativa L.) 1

Study of Leaf Area as Functions of Age and Temperature in Rice (Oryza sativa L.) 1 Jour. Agri, Res. China ($J!Uff) 39(4) : 259--268 (199) Study of Leaf Area as Functions of Age and Temperature in Rice (Oryza sativa L.) 1 Chwen-Ming Yang" and James L. Heilman" Abstract: Correlations between

More information