Digital Image Processing. Point Processing( 点处理 )

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "Digital Image Processing. Point Processing( 点处理 )"

Transcription

1 Digital Image Processing Point Processing( 点处理 )

2 Point Processing of Images In a digital image, point = pixel. Point processing transforms a pixel s value as function of its value alone; it it does not depend on the values of the pixel s neighbors.

3 Point Processing of Images Brightness and contrast adjustment Gamma correction Histogram equalization Histogram matching Color correction.

4 Point Processing - gamma - brightness original + brightness + gamma histogram mod - contrast original + contrast histogram EQ

5 The Histogram of a Grayscale Image 灰度直方图 Let I be a 1-band (grayscale) image. I(r,c) is is an 8-bit integer between 0 and 255. Histogram, h I I, of I: I: a 256-element array, h II h I I (g), for g = 1, 1, 2, 2, 3, 3,, 256, is is an integer h I I (g) = number of of pixels in in I that have value g-1.

6 The Histogram of a Grayscale Image 灰度直方图 16-level (4-bit) image Resolution: 256*256 lower subscript: number of pixels with intensity g black regions mark pixels with intensity g

7 Sum( h(i) )=? The Histogram of a Grayscale Image Black marks pixels with intensity g Plot of histogram: number of pixels with intensity g

8

9 Histogram Examples

10 Histogram Examples

11 How is the histogram useful It is an easy method to statistically compare the contents of two images Pixelwise : Histogram : But

12 Very different images may have same histograms Histogram reflects the pixel intensity distribution, not the spatial distribution!

13 The Histogram of a Grayscale Image ( g +1) h I = the number of pixels in I with graylevel g. Luminosity

14 The Histogram of a Color Image 彩色直方图 If If I is is a 3-band( 波段 ) RGB image (truecolor, 24-bit). Each of of the 3 bands is is an integer between 0 and 255. Then I has 3 histograms, for R,G,B components respectively: h R (g+1) = # of of pixels in in I(:,:,1) with intensity value g h G (g+1) = # of of pixels in in I(:,:,2) with intensity value g h B (g+1) = # of of pixels in in I(:,:,3) with intensity value g

15 The Histogram of a Color Image There is is one one histogram per per color band R, R, G, G, & B. B. Luminosity histogram is is from 1 band = (R+G+B)/3 Luminosity h I L hi R h I G h I B Luminosity: 光度

16 The Histogram of a Color Image

17 Value or Luminance Histograms 光度直方图和亮度直方图 The value histogram( 光度直方图 ) of a 3-band (truecolor) image, I, is the histogram of the value image, 1 V, 3 ( r, c) = [ R( r, c) + G( r, c) + B( r c) ] Where R, G, and B are the red, green, and blue bands of I. The luminance histogram( 亮度直方图 ) of I is the histogram of the luminance image, L ( r, c) = R( r, c) G( r, c) B( r, c)

18 Value Histogram vs. Avg. of R,G,B Histograms R,G,B,&V histograms V & avg. avg. of of R,G,B R,G,B histograms Value histogram : average followed by statistics; Avg. of R,G,B histograms: statistics followed by average.

19 Multi-Band Histogram Calculator in Matlab % Multi-band histogram calculator function h=histogram(i) [R C B]=size(I); % Row/Column/Band size % allocate the histogram h=zeros(256,1,b); % range through the intensity values for g=0:255 h(g+1,1,:) = sum(sum(i==g)); % accumulate end return;

20 Point Processing( 点处理 ) s=t(r) r: gray-level at (x,y) in original image f(x,y) s: gray-level at (x,y) in processed image g(x,y) T is called gray-level transformation( 变换 ) or mapping( 映射 )

21 Point Operations via Functional Mappings Image: I Φ, Φ, point point operator operator J J = Φ[ I ] Pixel: Input I(r,c) function, function, ff Output J(r,c) If I and then ( r, c) = g f ( g) = k J ( r, c) = k.

22 Point Operations via Functional Mappings One-band Image J ( r, c) = f ( I ( r, c) ) for all pixels locations, ( r, c). Three-band Image J ( r, c, b ) = f I ( r, c, b ) J ( ), ( r, c, b) = f ( I( r, c, b) ) for b = 1,2,3 b and all ( r, c)., or

23 Point Operations using Look-up Tables( 对照表 ) A look-up table (LUT) implements a functional mapping. If k = f ( g) for g = 0, K,255, andif k values in, takes on { 0, K,255}, K To remap a 1-band image, I, to J : then the LUT that implements f is a 256x1 array whose (g +1) th value is k = f (g). J = LUT I ( ) +1

24 Point Operations = Look-up Table Ops output value input value E.g.: index input value output

25 Point Operations using Look-up Tables If If IIis is 3-band, then a) a) each band is is mapped separately using the the same LUT for for each band or or b) b) each band is is mapped using different LUTs one for for each band. J = LUT( I + 1), (:,:, b) = LUT ( I (:,:, b) + 1) for b = 1,2,3. a) J or b) b

26 Look-Up Tables( 对照表 ) input a pixel pixel with with this thisvalue cell index contents output is is mapped to to this thisvalue

27 How to Generate a Look-Up Table For example: Let Let σ a = x 2. { 0, K,255} e ( x; a) = a( x 127)/ 32 Or in Matlab: a = 2; x = 0:255; LUT = 255./ (1+exp(-a*(x-127)/32)); This is is just one example. Digital inverse: s=l-1-r Power-law transformation: s=cr γ Log transformation: s=clog(1+r)

28 Image Negative L-1 s Convert the color to its complement O L-1 r s=(l-1)-r What is the relationship between the histogram of the original and the negative image?

29 Power-law transformations( 指数型变换 ) Power-law transformation: s=cr γ

30 Log transformations( 对数型变换 ) Log transformation: s=clog(1+r)

31 Luminosity Point Processes: h I L Increase Brightness J k ( r, c) ( r, c) g, if I k ( r, c) + g < 256, if I k ( r, c) + g > 255 { 1, 2 } is the bandindex. I k + = 255 g 0 and k, g transform mapping

32 Point Processes: Decrease Brightness J k ( r, c) g 0 and k, 3 if I k ( r, c) g 0 ( r, c) g, if I k ( r, c) { 1, 2 } is the bandindex. 0, < = I k transform mapping 255-g

33 Point Processes: Increased Gamma J ( r, c) ( r, c) 1/ γ 255 I = for γ > transform mapping

34 Point Processes: Decreased Gamma J ( r, c) ( r, c) 1/ γ 255 I = for γ < m M transform mapping

35 Gamma Correction: Effect on Histogram

36 Point Processes: Increase Contrast Let J k Tk ( r, c) = a [ Ik ( r, c) 127] + 127, where a > , if Tk ( r, c) < 0, ( r, c) = Tk ( r, c), if 0 Tk ( r, c) 255, 255, if T ( r, c) > 255. k { 1, 2, 3} k transform mapping

37 Point Processes: Decrease Contrast T k ( r, c) where = a 0 [ I ( r, c) 127] k a < 1.0 and + 127, k { 1,2,3 } transform mapping

38 Point Processes: Contrast Stretch Let Then, J m m J I = min = min ( r, c) = ( M m ) J [ I ( r, c) ], M I = max[ I ( r, c) ], [ J ( r, c) ], M = max[ J ( r, c) ]. J ( r, c) I M I J m m I I + m J. M J m J m I 127 M I 255 transform mapping The watershed value m: The gray levels below m are darkened and the levels above m are brightened.

39 Contrast stretch Contrast Stretching: to get an image with higher contrast than the original image The gray levels below m are darkened and the levels above m are brightened m 0 m 255

40 Contrast stretch Limiting case: produces a binary image (two level) from the input image

41 How to realize the S-curve for constrast stretch Strategy 1: sine function y = sin(x) Strategy 2: inverse tangent function y = arctan(x) Strategy 3: inverse function of y=x 3 1 Strategy 4: sigmoid function y = a( x c) 1+ e y = a( x 127)/32 1+ e 255 x=0:0.1:10; y=sigmf(x,[2 4]); plot(x,y) xlabel('sigmf, P=[2 4]')

42 How to realize Contrast stretch Can you design a polynomial S-curve as the contrast stretch mapping function? e.g. f(x)=a n x n +a n-1 x n-1 + +a 2 x 2 +a 1 x+a 0 Requirement: f(0)=0 f(1)=1 f (0)=0 f (1)=0; 0 1 m 0 m 1

43 Let The Probability Density Function(pdf) A = 255 g = 0 R rows by C of an Image( 概率密度函数 ) h I g Note that since h I k k ( + 1). ( g +1) (the k th color band of image I ) with value g, A is the number of pixels in I. Then, I k columns then 1 pi g h k I g k A ( + 1) = ( + 1) is the number A = That is if R C. of I pixels in is the graylevel probability density function of I. is This is the probability that an arbitrary pixel from I k has value g. k pdf [lower case]

44 The Probability Density Function(pdf) of an Image p band band (g+1) is is the the fraction of of pixels in in (a (a specific band of) of) an an image that have intensity value g. g. p band band (g+1) is is the the probability that a pixel randomly selected from the the given band has intensity value g. g. the the sum of of the the histogram h band band (g+1) over all all g from 0 to to 255 is is equal to to the the number of of pixels in in the the image, the the sum of of p band band (g+1) over all all g is is p band band is is the the normalized histogram( 归一化直方图 )) of of the the band.

45 The Cumulative Distribution Function(cdf) of an Image( 累积概率分布函数 ) Let q = [q 1 q 2 q 3 ] = I(r,c) be the value of a randomly selected pixel from I. Let g be a specific graylevel. The probability that q k g is given by cdf [lower case] ( γ + 1) g g Ik 1 γ = 0 PI ( g + 1) = p ( γ + 1) = ( γ + 1) = k I h k Ik 255 γ= 0 A γ= 0 hi γ + k γ = 0 g h ( 1), where h Ik (γ +1) is the histogram of the kth band of I. This is is the probability that any given pixel from II kk has value less than or or equal to to g. g.

46 The Cumulative Distribution Function(cdf) of an Image P band band (g+1) is is the the fraction of of pixels in in (a (a specific band of) of) an an image that have intensity values less than or or equal to to g. g. P band band (g+1) is is the the probability that a pixel randomly selected from the the given band has an an intensity value less than or or equal to to g. g. P band band (g+1) is is the the cumulative (or (or running) sum of of p band band (g+1) from 0 through g inclusive. P band band (1) (1) = p band band (1) (1) and P band band (256) = 1; 1; P band band (g+1) is is non-decreasing( 非减函数 ). ). a.k.a. a.k.a. Probability Distribution Function(PDF). Note: the Probability Distribution Function (PDF, capital letters) and the Cumulative Distribution Function (CDF) are exactly the same things. Both PDF and CDF will refer to it. However, pdf (small letters) is the density function. a.k.a. : also known as

47 Point Processes: Histogram Equalization( 直方图均衡化 ) The normalized histogram is a probability density function (pdf) From the pdf, build the cumulative distribution function (cdf) pdf cdf

48 Histogram Equalization Histogram equalization tries to match the pdf of the result image to the uniform pdf. It is easier to implement by working on the cdf index value input output Any other Solutions?

49 Point Processes: Histogram Equalization Task: remap image I so that its histogram is as close to constant as possible ( γ ) Let +1 P I be the cumulative (probability) distribution function of I. Then J has, as closely as possible, the correct histogram if J ( r c) = 255 P I ( r, c), [ + 1]. The CDF itself is used as the LUT. I all all bands processed similarly

50 LUT

51

52

53 Point Processes: Histogram Equalization Luminosity before J ( r, c) = 255 P ( g + 1) I after

54 Histogram Equalization pdf CDF

55 Histogram Equalization pdf The The CDF CDF (cummulative distribution) is is the the LUT LUT for for remapping. LUT J ( r, c) = 255 P ( g + 1) I

56 Histogram Equalization pdf The The CDF CDF (cummulative distribution) is is the the LUT LUT for for remapping. LUT J ( r, c) = 255 P ( g + 1) I

57 Histogram Equalization

58 Challenge: Histogram Equalization on specified interval Task: remap image I with min = m I and max = M I so that its histogram is as close to constant as possible and has min = m J and max = M J. ( γ ) Let P I +1 be the cumulative (probability) distribution function of I. Then J has, as closely as possible, the correct histogram if Using intensity extrema ( r c) = ( M m ) [ I ( r, c) + 1] PI ( mi + 1) 1 P ( m + 1) P J + I, J J J I I m.

59 Point Processes: Histogram Matching( 直方图匹配 ) Task: remap image I so that it has, as closely as possible, the same histogram as image J. Because the images are digital it is not, in general, possible to make h I h J. Therefore, p I p J. Q: How, then, can the matching be done? A: By matching percentiles( 百分位数 ).

60

61

62 Matching Percentiles( 匹配百分位数 ) assuming a 1-band 1-band image image or or a single single band band of of a color color image. image. Recall: The CDF of image I is such that 0 P I ( g I ) 1. P I ( g I +1) = c means that c is the fraction of pixels in I that have a value less than or equal to g I. 100c is the percentile of pixels in I that are less than or equal to g I. To To match percentiles, replace all all occurrences of of value g II in in image I I with the the value, g J J,, from image J whose percentile in in J most closely matches the the percentile of of g II in in image I. I.

63 Matching Percentiles So, to create an image, K, from image I such that K has nearly the same CDF as image J do the following: If I(r,c) = g I then let K(r,c) = g J where g J is such that P I (g I ) > P J (g J -1) AND P I (g I ) P J (g J ). assuming assuming a a 1-band 1-band image image or or a a single single band band of of a a color color image. image. Example: Example: I(r,c) I(r,c) = 55 P I I (5) (5) = P J J (9) (9) = P J J (10) (10) = K(r,c) K(r,c) = P I ( g I ) P J ( g J ) g I g J

64 Example: Histogram Matching Image pdf Image with with intensity values g

65 Example: Histogram Matching Image CDF CDF I (g) * g *a.k.a Cumulative Distribution Function, CDF I.

66 Example: Histogram Matching Target pdf Target with with intensity values g

67 Example: Histogram Matching Target CDF CDF I (g) * g *a.k.a Cumulative Distribution Function, CDF J.

68 LUT Creation Image CDF Target CDF LUT 10

69 Input & Target CDFs, LUT and Resultant CDF P I ( g ) Input Input P J ( g ) Target Target g g LUT ( g ) LUT LUT P K ( g ) Result Result g g

70 Histogram Matching Algorithm assuming assuming a a 1-band 1-band image image or or a a single single band band of of a a color color image. image. [R,C] = size(i); K = zeros(r,c); g J = m J; for g I = m I to M I while g J < 255 AND PI ( gi + 1) P ( g + 1) < P ( g + 1) g J g = J J J +1; end K = K + g I = = end [ ( )] J g I I I < 1 AND This This directly matches image IIto to image J. J. ( I + ) ( + ) P g 1 : CDF of I I P g 1 : CDF of J. J J m M m M J J I I = min J, = max J, = min I, = max I. Better to to use use a LUT. See See next slide

71 Histogram Matching with a Lookup Table The algorithm on the previous slide matches one image to another directly. Often it is faster or more versatile to use a lookup table (LUT). Rather than remapping each pixel in the image separately, one can create a table that indicates to which target value each input value should be mapped. Then K = LUT[I+1] In Matlab if the LUT is a matrix with values from 0 to 255 and if image I is of type uint8, it can be remapped with the following code: K = uint8(lut(double(i)+1));

72 Look Up Table for Histogram Matching LUT = zeros(256,1); g J = 0; for g I = 0 to 255 while P ( g ) < P ( g + 1) end LUT end J g J g = J J + I I J 1 AND g < ; ( g + ) = g ; I 1 J This This creates a look-up table which can can then be be used to to remap the the image. ( I + ) ( J + ) ( g + ) P g 1 : CDF of I, I P g 1 : CDF of J, J LUT I 1 : Look- Up Table

73 Is there any relation between the LUT and the source/target image CDF? Example: Histogram Matching original target remapped

74 Break Get confused by more and more terms, abbreviations and acronyms? histogram, channel, band, luminance, binear, bicubic, percentiles; Interpolation, decimation, matching, equalization, normalization; LUT, cdf, pdf, vs., a.k.a.;

75 Homework III 1. Convert the following image to a visually meaningful one by point processing. Submit your code and the result image. 2. Realize your own Histogram equalization or matching algorithm. Submit your code and demo images. Compare your result with matlab function histeq().

76 Probability Density Functions of a Color Image Atlas-Mercury Atlas-Mercury red pdf green pdf blue pdf luminosity pdf

77 Cumulative Distribution Functions (CDF) red CDF green CDF blue CDF luminosity CDF

78 Probability Density Functions of a Color Image TechnoTrousers TechnoTrousers red pdf green pdf blue pdf luminosity pdf

79 Cumulative Distribution Functions (CDF) red CDF green CDF blue CDF luminosity CDF

80 Remap an Image to have the Luminance CDF of Another original target luminosity remapped

81 CDFs and the LUT Atlas-Mercury Luminosity CDF TechnoTrousers Luminosity CDF LUT (Luminosity) Atlas-Mercury to TechnoTrousers Atlas-Mercury Remapped Luminosity CDF

82 Effects of Luminance Remapping on CDFs Before After

83 Remap an Image to have the R/G/B CDFs of Another original target R, G, & B remapped

84 CDFs and the LUTs Atlas-Mercury Red PDF Atlas-Mercury Green PDF Atlas-Mercury Blue PDF TechnoTrousers Red PDF TechnoTrousers Green PDF TechnoTrousers Blue PDF LUT (Red) Atlas-Mercury to TechnoTrousers LUT (Green) Atlas-Mercury to TechnoTrousers LUT (Blue) Atlas-Mercury to TechnoTrousers Atlas-Mercury RGB Remapped Red PDF Atlas-Mercury RGB Remapped Green PDF Atlas-Mercury RGB Remapped Blue PDF

85 Effects of RGB Remapping on CDFs Before After

86 Remap an Image: To Have Two of its Color pdfs Match the Third original G & B R B & R G R & G B

87 Challenge: Display of HDRI 报告人 : 何小伟

88 什么是 HDR Dynamic Range( 动态范围 ): 是指图像中所包含的从 最亮 至 最暗 的比值, 也就是图像从 最亮 到 最暗 之间灰度划分的等级数 ; 动态范围越大, 所能表示的层次越丰富, 所包含的色彩空间也越广 高动态范围 (High Dynamic Range) 顾名思义就是从 最亮 到 最暗 可以达到非常高的比值

89 什么是 HDR 8bit 的动态范围 100:1 人眼所能感知的动态范围 :1 用 32bit float 来表示 理论上动态范围可到 10^76.8:1

90 什么是 HDR 亮的地方可以非常亮 HDR 暗的地方可以非常暗 亮暗部的细节都很明显

91 HDRI OpenEXR Industrial Light & Magic 扩展名为 (.exr) FP ^ -5 到 ^ 4 Radiance RGBE 扩展名为 (.hdr) 4 个通道, 每个通道 8bit Float TIFF 扩展名为 (.tif) 3 个通道每个通道为 FP32

92 Radiance RGBE rgb 为颜色通道,e 为亮度级别, 每个通道 8bit R = r * 2^(e 128-8) G = g * 2^(e 128-8) B = b * 2^(e 128-8)

93 什么是 HDR

94 Tone mapping 动态范围的压缩, 压缩后具有较好的全局对比度 ; 压缩后的图像具有真实感, 避免光晕 (halo) 等痕迹, 较好地保持局部细节

95 Tone mapping 全局映射 局部映射 分段线性映射 双边滤波

96 Tone mapping 存在信息丢失 关键 : 保留主要特征区域 如边缘信息, 而去除噪声

通量数据质量控制的理论与方法 理加联合科技有限公司

通量数据质量控制的理论与方法 理加联合科技有限公司 通量数据质量控制的理论与方法 理加联合科技有限公司 通量变量 Rn = LE + H + G (W m -2 s -1 ) 净辐射 潜热 感热 地表热 通量 通量 通量 通量 Fc (mg m -2 s -1 ) 二氧化碳通量 τ [(kg m s -1 ) m -2 s -1 ] 动量通量 质量控制 1. 概率统计方法 2. 趋势法 3. 大气物理依据 4. 测定实地诊断 5. 仪器物理依据 '

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

Chapter7 Image Compression

Chapter7 Image Compression Chapter7 Image Compression Preview 7I 7. Introduction 7.2 Fundamental concepts and theories 7.3 Basic coding methods 7.4 Predictive coding 7.5 Transform coding 7.6 Introduction to international standards

More information

Source mechanism solution

Source mechanism solution Source mechanism solution Contents Source mechanism solution 1 1. A general introduction 1 2. A step-by-step guide 1 Step-1: Prepare data files 1 Step-2: Start GeoTaos or GeoTaos_Map 2 Step-3: Convert

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

Conditional expectation and prediction

Conditional expectation and prediction Conditional expectation and prediction Conditional frequency functions and pdfs have properties of ordinary frequency and density functions. Hence, associated with a conditional distribution is a conditional

More information

GRE 精确 完整 数学预测机经 发布适用 2015 年 10 月考试

GRE 精确 完整 数学预测机经 发布适用 2015 年 10 月考试 智课网 GRE 备考资料 GRE 精确 完整 数学预测机经 151015 发布适用 2015 年 10 月考试 20150920 1. n is an integer. : (-1)n(-1)n+2 : 1 A. is greater. B. is greater. C. The two quantities are equal D. The relationship cannot be determined

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

Molecular weights and Sizes

Molecular weights and Sizes Polymer Physcs 高分子物理 olecular weghts and Szes 高分子的分子量与尺寸 1 olecular weghts and molecular weght dstrbuton 分子量与分子量分布 Characterstcs of polymer molecular weghts 高分子的分子量的特点 The molecular weghts are very hgh,

More information

Lecture 2. Random variables: discrete and continuous

Lecture 2. Random variables: discrete and continuous Lecture 2 Random variables: discrete and continuous Random variables: discrete Probability theory is concerned with situations in which the outcomes occur randomly. Generically, such situations are called

More information

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

Galileo Galilei ( ) Title page of Galileo's Dialogue concerning the two chief world systems, published in Florence in February 1632.

Galileo Galilei ( ) Title page of Galileo's Dialogue concerning the two chief world systems, published in Florence in February 1632. Special Relativity Galileo Galilei (1564-1642) Title page of Galileo's Dialogue concerning the two chief world systems, published in Florence in February 1632. 2 Galilean Transformation z z!!! r ' = r

More information

Type and Propositions

Type and Propositions Fall 2018 Type and Propositions Yu Zhang Course web site: http://staff.ustc.edu.cn/~yuzhang/tpl Yu Zhang: Types and Propositions 1 Outline Curry-Howard Isomorphism - Constructive Logic - Classical Logic

More information

Numerical Analysis in Geotechnical Engineering

Numerical Analysis in Geotechnical Engineering M.Sc. in Geological Engineering: Subject No. 8183B2 Numerical Analysis in Geotechnical Engineering Hong-Hu ZHU ( 朱鸿鹄 ) School of Earth Sciences and Engineering, Nanjing University www.slope.com.cn Lecture

More information

Atomic & Molecular Clusters / 原子分子团簇 /

Atomic & Molecular Clusters / 原子分子团簇 / Atomic & Molecular Clusters / 原子分子团簇 / 王金兰 Email: jlwang@seu.edu.cn Department of Physics Southeast University What is nanometer? Nano is Small (10-7 --10-9 m; 1-100 nm) 10 0 m 10-1 m 10-2 m 10-3 m 10-4

More information

The preload analysis of screw bolt joints on the first wall graphite tiles in East

The preload analysis of screw bolt joints on the first wall graphite tiles in East The preload analysis of screw bolt joints on the first wall graphite tiles in East AO ei( 曹磊 ), SONG Yuntao( 宋云涛 ) Institute of plasma physics, hinese academy of sciences, Hefei 230031, hina Abstract The

More information

On the Quark model based on virtual spacetime and the origin of fractional charge

On the Quark model based on virtual spacetime and the origin of fractional charge On the Quark model based on virtual spacetime and the origin of fractional charge Zhi Cheng No. 9 Bairong st. Baiyun District, Guangzhou, China. 510400. gzchengzhi@hotmail.com Abstract: The quark model

More information

课内考试时间? 5/10 5/17 5/24 课内考试? 5/31 课内考试? 6/07 课程论文报告

课内考试时间? 5/10 5/17 5/24 课内考试? 5/31 课内考试? 6/07 课程论文报告 课内考试时间? 5/10 5/17 5/24 课内考试? 5/31 课内考试? 6/07 课程论文报告 Testing Hypotheses and Assessing Goodness of Fit Generalized likelihood ratio tests The likelihood ratio test is optimal for simple vs. simple hypotheses.

More information

Principia and Design of Heat Exchanger Device 热交换器原理与设计

Principia and Design of Heat Exchanger Device 热交换器原理与设计 Principia and Design of Heat Exchanger Device 热交换器原理与设计 School of Energy and Power Engineering, SDU Presented: 杜文静 E-mail: wjdu@sdu.edu.cn Telephone: 88399000-511 1. Spiral heat exchanger 螺旋板式热交换器 basic

More information

Chapter 2 the z-transform. 2.1 definition 2.2 properties of ROC 2.3 the inverse z-transform 2.4 z-transform properties

Chapter 2 the z-transform. 2.1 definition 2.2 properties of ROC 2.3 the inverse z-transform 2.4 z-transform properties Chapter 2 the -Transform 2.1 definition 2.2 properties of ROC 2.3 the inverse -transform 2.4 -transform properties 2.1 definition One motivation for introducing -transform is that the Fourier transform

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

Lecture 2: Introduction to Probability

Lecture 2: Introduction to Probability Statistical Methods for Intelligent Information Processing (SMIIP) Lecture 2: Introduction to Probability Shuigeng Zhou School of Computer Science September 20, 2017 Outline Background and concepts Some

More information

课内考试时间 5/21 5/28 课内考试 6/04 课程论文报告?

课内考试时间 5/21 5/28 课内考试 6/04 课程论文报告? 课内考试时间 5/21 5/28 课内考试 6/04 课程论文报告? Generalized likelihood ratio tests The likelihood ratio test is optimal for simple vs. simple hypotheses. Generalized likelihood ratio tests are for use when hypotheses

More information

Finite-Difference Methods (FDM)

Finite-Difference Methods (FDM) Finite-Diffeence Methods (FDM) Finite-diffeence Appoimations Assuming a 1D f() as in Fig.4.14 witing f 1 and f as Talo seies epansions aound = 0 Appoimating deivatives at f f (1) () ( 0) = f h f + h 1

More information

Integrated Algebra. Simplified Chinese. Problem Solving

Integrated Algebra. Simplified Chinese. Problem Solving Problem Solving algebraically concept conjecture constraint equivalent formulate generalization graphically multiple representations numerically parameter pattern relative efficiency strategy verbally

More information

Service Bulletin-04 真空电容的外形尺寸

Service Bulletin-04 真空电容的外形尺寸 Plasma Control Technologies Service Bulletin-04 真空电容的外形尺寸 在安装或者拆装真空电容时, 由于真空电容的电级片很容易移位, 所以要特别注意避免对电容的损伤, 这对于过去的玻璃电容来说非常明显, 但对于如今的陶瓷电容则不那么明显, 因为它们能够承载更高的机械的 电性能的负载及热负载 尽管从外表看来电容非常结实, 但是应当注意, 由于采用焊接工艺来封装铜和陶瓷,

More information

( 选出不同类别的单词 ) ( 照样子完成填空 ) e.g. one three

( 选出不同类别的单词 ) ( 照样子完成填空 ) e.g. one three Contents 目录 TIPS: 对于数量的问答 - How many + 可数名词复数 + have you/i/we/they got? has he/she/it/kuan got? - I/You/We/They have got + 数字 (+ 可数名词复数 ). He/She/It/Kuan has got + 数字 (+ 可数名词复数 ). e.g. How many sweets

More information

Easter Traditions 复活节习俗

Easter Traditions 复活节习俗 Easter Traditions 复活节习俗 1 Easter Traditions 复活节习俗 Why the big rabbit? 为什么有个大兔子? Read the text below and do the activity that follows 阅读下面的短文, 然后完成练习 : It s Easter in the UK and the shops are full of Easter

More information

Chapter 4. Mobile Radio Propagation Large-Scale Path Loss

Chapter 4. Mobile Radio Propagation Large-Scale Path Loss Chapter 4 Mobile Radio Propagation Large-Scale Path Loss The mobile radio channel places fundamental limitations on the performance. The transmission path between the T-R maybe very complexity. Radio channels

More information

MILESTONES Let there be light

MILESTONES Let there be light http://www.nature.com/milestones/milephotons/collection/index.html MILESTONES Let there be light LETTER The conservation of photons Gilbert N. Lewis Nature 118, 874-875 (1926); doi:10.1038/118874a0

More information

Design, Development and Application of Northeast Asia Resources and Environment Scientific Expedition Data Platform

Design, Development and Application of Northeast Asia Resources and Environment Scientific Expedition Data Platform September, 2011 J. Resour. Ecol. 2011 2(3) 266-271 DOI:10.3969/j.issn.1674-764x.2011.03.010 www.jorae.cn Journal of Resources and Ecology Vol.2 No.3 NE Asia Design, Development and Application of Northeast

More information

三类调度问题的复合派遣算法及其在医疗运营管理中的应用

三类调度问题的复合派遣算法及其在医疗运营管理中的应用 申请上海交通大学博士学位论文 三类调度问题的复合派遣算法及其在医疗运营管理中的应用 博士生 : 苏惠荞 导师 : 万国华教授 专业 : 管理科学与工程 研究方向 : 运作管理 学校代码 : 10248 上海交通大学安泰经济与管理学院 2017 年 6 月 Dissertation Submitted to Shanghai Jiao Tong University for the Degree of

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

A STUDY OF FACTORS THAT AFFECT CAPILLARY

A STUDY OF FACTORS THAT AFFECT CAPILLARY 20/6/ GROUP A STUDY OF FACTORS THAT AFFECT CAPILLARY DOE Project Report 杨路怡陆泓宇陈驰 Content Abstract... 4 Experiment Background & Objective... 4 Background... 4 Objective... 5 Experiment Principles... 5 Phenomenon

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

CT reconstruction Simulation

CT reconstruction Simulation Lecture IX CT reconstruction Simulation 1 Review 1. Direct back projection alg0rithm?. Filtered back projection 3. R-L, S-L filter 4. What are the four kinds of back projection algorithm? 5. What are the

More information

Synthesis of PdS Au nanorods with asymmetric tips with improved H2 production efficiency in water splitting and increased photostability

Synthesis of PdS Au nanorods with asymmetric tips with improved H2 production efficiency in water splitting and increased photostability Chinese Journal of Catalysis 39 (2018) 407 412 催化学报 2018 年第 39 卷第 3 期 www.cjcatal.org available at www.sciencedirect.com journal homepage: www.elsevier.com/locate/chnjc Communication (Special Issue of

More information

Riemann s Hypothesis and Conjecture of Birch and Swinnerton-Dyer are False

Riemann s Hypothesis and Conjecture of Birch and Swinnerton-Dyer are False Riemann s Hypothesis and Conjecture of Birch and Swinnerton-yer are False Chun-Xuan Jiang. O. Box 3924, Beijing 854 China jcxuan@sina.com Abstract All eyes are on the Riemann s hypothesis, zeta and L-functions,

More information

Cooling rate of water

Cooling rate of water Cooling rate of water Group 5: Xihui Yuan, Wenjing Song, Ming Zhong, Kaiyue Chen, Yue Zhao, Xiangxie Li 目录. Abstract:... 2. Introduction:... 2 2.. Statement of the problem:... 2 2.2 objectives:... 2 2.3.

More information

Explainable Recommendation: Theory and Applications

Explainable Recommendation: Theory and Applications Explainable Recommendation: Theory and Applications Dissertation Submitted to Tsinghua University in partial fulfillment of the requirement for the degree of Doctor of Philosophy in Computer Science and

More information

A Tutorial on Variational Bayes

A Tutorial on Variational Bayes A Tutorial on Variational Bayes Junhao Hua ( 华俊豪 ) Laboratory of Machine and Biological Intelligence, Department of Information Science & Electronic Engineering, ZheJiang University 204/3/27 Email: huajh7@gmail.com

More information

Hebei I.T. (Shanghai) Co., Ltd LED SPECIFICATION

Hebei I.T. (Shanghai) Co., Ltd LED SPECIFICATION Features/ 特征 : Single color/ 单色 High Power output/ 高功率输出 Low power consumption/ 低功耗 High reliability and long life/ 可靠性高 寿命长 Descriptions/ 描述 : Dice material/ 芯片材质 :AlGaAs Emitting Color/ 发光颜色 : Infrared

More information

Lecture Note on Linear Algebra 16. Eigenvalues and Eigenvectors

Lecture Note on Linear Algebra 16. Eigenvalues and Eigenvectors Lecture Note on Linear Algebra 16. Eigenvalues and Eigenvectors Wei-Shi Zheng, wszheng@ieee.org, 2011 November 18, 2011 1 What Do You Learn from This Note In this lecture note, we are considering a very

More information

Lecture English Term Definition Chinese: Public

Lecture English Term Definition Chinese: Public Lecture English Term Definition Chinese: Public A Convert Change between two forms of measurements 变换 A Equilateral Triangle Triangle with equal sides and angles A FPS Units The American system of measurement.

More information

USTC SNST 2014 Autumn Semester Lecture Series

USTC SNST 2014 Autumn Semester Lecture Series USTC SNST 2014 Autumn Semester Lecture Series Title: Introduction to Tokamak Fusion Energy Nuclear Science and Technology Research and Development (R&D) L8 A: Putting it all together: the box and thinking

More information

ArcGIS 10.1 for Server OGC 标准支持. Esri 中国信息技术有限公司

ArcGIS 10.1 for Server OGC 标准支持. Esri 中国信息技术有限公司 ArcGIS 10.1 for Server OGC 标准支持 Esri 中国信息技术有限公司 李光辉 DEMO OpenLayers GoogleEarth Map Services udig OWS Image Service 商业 GIS 软件 ArcGIS for Server GP Services Globe Services GeoCoding Services GeoData Services

More information

MAX21003 超高精度 低功耗 双轴数字输出陀螺仪

MAX21003 超高精度 低功耗 双轴数字输出陀螺仪 19-6645; Rev 0; 6/13 备有评估板 概述 是低功耗 低噪声 双轴角速度传感器, 在整个温度范围和工作期限内, 提供前所未有的高精度和高灵敏度指标 器件工作电压低至 1.71V, 使功耗降至最低 器件包括检测元件和 IC 接口, 通过数字接口 (I 2 C/SPI) 提供测得的角速率 IC 满量程为 ±31.25/±62.50/±125/±250/±500/±1000 度 / 秒 (dps),

More information

2. The lattice Boltzmann for porous flow and transport

2. The lattice Boltzmann for porous flow and transport Lattice Boltzmann for flow and transport phenomena 2. The lattice Boltzmann for porous flow and transport Li Chen XJTU, 2016 Mail: lichennht08@mail.xjtu.edu.cn http://gr.xjtu.edu.cn/web/lichennht08 Content

More information

Key Topic. Body Composition Analysis (BCA) on lab animals with NMR 采用核磁共振分析实验鼠的体内组分. TD-NMR and Body Composition Analysis for Lab Animals

Key Topic. Body Composition Analysis (BCA) on lab animals with NMR 采用核磁共振分析实验鼠的体内组分. TD-NMR and Body Composition Analysis for Lab Animals TD-NMR and Body Composition Analysis for Lab Animals 时域磁共振及实验鼠体内组分的测量 Z. Harry Xie ( 谢宗海 谢宗海 ), PhD Bruker Optics, Inc. Key Topic Body Composition Analysis (BCA) on lab animals with NMR 采用核磁共振分析实验鼠的体内组分

More information

1. Length of Daytime (7 points) 白昼长度 (7 分 )

1. Length of Daytime (7 points) 白昼长度 (7 分 ) Pn Perl River Delt Physics Olympid 208 208 年泛珠三角及中华名校物理奥林匹克邀请赛 Sponsored by Institute for Advnced Study, HKUST 香港科技大学高等研究院赞助 Simplified Chinese Prt- (Totl 6 Problems, 45 Points) 简体版卷 -( 共 6 题,45 分 ) (9:00

More information

Concurrent Engineering Pdf Ebook Download >>> DOWNLOAD

Concurrent Engineering Pdf Ebook Download >>> DOWNLOAD 1 / 6 Concurrent Engineering Pdf Ebook Download >>> DOWNLOAD 2 / 6 3 / 6 Rozenfeld, WEversheim, HKroll - Springer.US - 1998 WDuring 2005 年 3 月 1 日 - For.the.journal,.see.Conc urrent.engineering.(journal)verhagen

More information

A new operational medium-range numerical weather forecast system of CHINA. NWPD/NMC/CMA (Beijing,CHINA)

A new operational medium-range numerical weather forecast system of CHINA. NWPD/NMC/CMA (Beijing,CHINA) A new operational medium-range numerical weather forecast system of CHINA NWPD/NMC/CMA (Beijing,CHINA) Organizational Chart of CMA NSMC (National Satellite Meteorological Center) NCC (National Climate

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

5. Polymorphism, Selection. and Phylogenetics. 5.1 Population genetics. 5.2 Phylogenetics

5. Polymorphism, Selection. and Phylogenetics. 5.1 Population genetics. 5.2 Phylogenetics 5. Polymorphism, Selection 5.1 Population genetics and Phylogenetics Polymorphism in the genomes Types of polymorphism Measure of polymorphism Natural and artificial selection: the force shaping the genomes

More information

澳作生态仪器有限公司 叶绿素荧光测量中的 PAR 测量 植物逆境生理生态研究方法专题系列 8 野外进行荧光测量时, 光照和温度条件变异性非常大 如果不进行光照和温度条件的控制或者精确测量, 那么荧光的测量结果将无法科学解释

澳作生态仪器有限公司 叶绿素荧光测量中的 PAR 测量 植物逆境生理生态研究方法专题系列 8 野外进行荧光测量时, 光照和温度条件变异性非常大 如果不进行光照和温度条件的控制或者精确测量, 那么荧光的测量结果将无法科学解释 叶绿素荧光测量中的 PAR 测量 植物逆境生理生态研究方法专题系列 8 野外进行荧光测量时, 光照和温度条件变异性非常大 如果不进行光照和温度条件的控制或者精确测量, 那么荧光的测量结果将无法科学解释 Yield can vary significantly with light level and with temperature. Without controlling irradiation

More information

Project Report of DOE

Project Report of DOE Project Report of DOE Research on the working principle of the spinning top 3/6/8 Group 3 Leader: Li Zheran 李哲然 Members: Xu Zan 许赞 She Manrong 佘曼榕 Lei Chen 雷晨 目录. Motivation... 3. Literature Review...

More information

上海激光电子伽玛源 (SLEGS) 样机的实验介绍

上海激光电子伽玛源 (SLEGS) 样机的实验介绍 上海激光电子伽玛源 (SLEGS) 样机的实验介绍 Pan Qiangyan for SLEGS collaborators 一. 引言二. 装置布局三. 实验及其结果四. 结论 一, 引言 为建设 SLEGS 光束线提供参考和研制依据, 中科院上海应用物理研究所于 2005 年成立了以徐望研究员为组长的 SLEGS 小组, 开展 SLEGS 样机的实验工作 ; 在中科院知识创新工程方向性项目 (

More information

APPROVAL SHEET 承认书 厚膜晶片电阻承认书 -CR 系列. Approval Specification for Thick Film Chip Resistors - Type CR 厂商 : 丽智电子 ( 昆山 ) 有限公司客户 : 核准 Approved by

APPROVAL SHEET 承认书 厚膜晶片电阻承认书 -CR 系列. Approval Specification for Thick Film Chip Resistors - Type CR 厂商 : 丽智电子 ( 昆山 ) 有限公司客户 : 核准 Approved by 承认书 APPROVAL SHEET 厂商 : 丽智电子 ( 昆山 ) 有限公司客户 : Supplier: customer: 核准 Approved by 审核 Checked by 制作 Prepared by 核准 Approved by 审核 Checked by 制作 Prepared by 地址 : 江苏省昆山市汉浦路 989 号 Address: No. 989, Hanpu Road

More information

Theory of Water-Proton Spin Relaxation in Complex Biological Systems

Theory of Water-Proton Spin Relaxation in Complex Biological Systems Theory of Water-Proton Spin Relaxation in Complex Biological Systems Zhiwei Chang Doctoral Thesis by due permission of the Faculty of Engineering LTH, Lund University, Sweden. The thesis will be publicly

More information

Anisotropic Dielectric Properties of Short Carbon Fiber Composites. FU Jin-Gang, ZHU Dong-Mei, ZHOU Wan-Cheng, LUO Fa

Anisotropic Dielectric Properties of Short Carbon Fiber Composites. FU Jin-Gang, ZHU Dong-Mei, ZHOU Wan-Cheng, LUO Fa 第 27 卷第 11 期无机材料学报 Vol. 27 No. 11 2012 年 11 月 Journal of Inorganic Materials Nov., 2012 Article ID: 1000-324X(2012)11-1223-05 DOI: 10.3724/SP.J.1077.2012.12364 Anisotropic Dielectric Properties of Short

More information

Lecture Note on Linear Algebra 14. Linear Independence, Bases and Coordinates

Lecture Note on Linear Algebra 14. Linear Independence, Bases and Coordinates Lecture Note on Linear Algebra 14 Linear Independence, Bases and Coordinates Wei-Shi Zheng, wszheng@ieeeorg, 211 November 3, 211 1 What Do You Learn from This Note Do you still remember the unit vectors

More information

Cerno Bioscience MassWorks 在安捷伦 GC/MSD 上采集校准数据

Cerno Bioscience MassWorks 在安捷伦 GC/MSD 上采集校准数据 Cerno Bioscience MassWorks 在安捷伦 GC/MSD 上采集校准数据 Application Note Author Harry Prest, Ph.D. Senior Chemist in GC-MS Agilent Technologies, Inc. 5301 Stevens Creek Blvd Santa Clara, CA 95051 USA Introduction

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

三系杂交棉花粉育性对高温和低温胁迫的反应. Reaction of Pollen Fertility to High or Low Temperature Stresses in CMS-Based Hybrid Cotton 邵明彦 1 张海平 张昭伟 朱云国 袁淑娜 1

三系杂交棉花粉育性对高温和低温胁迫的反应. Reaction of Pollen Fertility to High or Low Temperature Stresses in CMS-Based Hybrid Cotton 邵明彦 1 张海平 张昭伟 朱云国 袁淑娜 1 作物学报 ACTA AGRONOMICA SINICA 2009, 35(): 2085 2090 http://www.chinacrops.org/zwxb/ ISSN 0496-3490; CODEN TSHPA9 E-mail: xbzw@chinajournal.net.cn DOI: 0.3724/SP.J.006.2009.02085 三系杂交棉花粉育性对高温和低温胁迫的反应 倪密刘英新

More information

STUDIES ON CLITICS OF CHINESE - THE GRAMMATICALIZATION APPROACH

STUDIES ON CLITICS OF CHINESE - THE GRAMMATICALIZATION APPROACH 汉语的附着成分研究 从语法化的角度考察 STUDIES ON CLITICS OF CHINESE - THE GRAMMATICALIZATION APPROACH 林尔嵘 LIM NI ENG (B.A. Hons, NUS) 新加坡国立大学中文系硕士学位论文 A THESIS SUBMITTED FOR THE DEGREE OF MASTERS OF ARTS DEPARTMENT OF CHINESE

More information

系统生物学. (Systems Biology) 马彬广

系统生物学. (Systems Biology) 马彬广 系统生物学 (Systems Biology) 马彬广 通用建模工具 ( 第十四讲 ) 梗概 (Synopsis) 通用建模工具 ( 数学计算软件 ) 专用建模工具 ( 细胞生化体系建模 ) 通用建模工具 主要是各种数学计算软件, 有些是商业软件, 有些是自由软件 商业软件, 主要介绍 : MatLab, Mathematica, Maple, 另有 MuPAD, 现已被 MatLab 收购 自由软件

More information

Halloween 万圣节. Do you believe in ghosts? 你相信有鬼吗? Read the text below and do the activity that follows. 阅读下面的短文, 然后完成练习 :

Halloween 万圣节. Do you believe in ghosts? 你相信有鬼吗? Read the text below and do the activity that follows. 阅读下面的短文, 然后完成练习 : Halloween 万圣节 1 Halloween 万圣节 Do you believe in ghosts? 你相信有鬼吗? Read the text below and do the activity that follows. 阅读下面的短文, 然后完成练习 : Though many people think it is an American festival, Halloween is

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

Superconductivity. Brief History Characteristic of Superconductors Applications Important Superconductors. What Is a Superconductor?

Superconductivity. Brief History Characteristic of Superconductors Applications Important Superconductors. What Is a Superconductor? Superconductivity Discovery of Superconductivity by H. Kamerlingh Onnes (1911) Brief History Characteristic of Superconductors Applications Important Superconductors How the Superconductivity Was First

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

Human CXCL9 / MIG ELISA Kit

Human CXCL9 / MIG ELISA Kit Human CXCL9 / MIG ELISA Kit Catalog Number: KIT10888 Please read this instruction manual carefully before using the product. For Research Use Only. Not for use in diagnostic or therapeutic procedures.

More information

A new approach to inducing Ti 3+ in anatase TiO2 for efficient photocatalytic hydrogen production

A new approach to inducing Ti 3+ in anatase TiO2 for efficient photocatalytic hydrogen production Chinese Journal of Catalysis 39 (2018) 510 516 催化学报 2018 年第 39 卷第 3 期 www.cjcatal.org available at www.sciencedirect.com journal homepage: www.elsevier.com/locate/chnjc Article (Special Issue of Photocatalysis

More information

Chapter 2 Bayesian Decision Theory. Pattern Recognition Soochow, Fall Semester 1

Chapter 2 Bayesian Decision Theory. Pattern Recognition Soochow, Fall Semester 1 Chapter 2 Bayesian Decision Theory Pattern Recognition Soochow, Fall Semester 1 Decision Theory Decision Make choice under uncertainty Pattern Recognition Pattern Category Given a test sample, its category

More information

复合功能 VZθ 执行器篇 Multi-Functional VZθActuator

复合功能 VZθ 执行器篇 Multi-Functional VZθActuator 篇 Multi-Functional VZθActuator VZθ 系列 VZθ Series 应用 KSS 微型滚珠丝杆花键 (BSSP), 在同一产品里实现直线运动 (z), 旋转 (θ), 吸附 (Vacuum) 功能的模组化产品 The brand new products which applied the KSS miniature Ball Screw with Ball Spline

More information

Nature 2018 A. Banino, Caswell Barry et.al 唐姝炅 _

Nature 2018 A. Banino, Caswell Barry et.al 唐姝炅 _ Nature 2018 A. Banino, Caswell Barry et.al 201711060109 唐姝炅201711060109_595014505 1 Nature, 557:429-433, 2018 Andrea Banino, Caswell Barry, Benigno Uria, Charles Blundell, Timothy Lillicrap, Piotr Mirowski,

More information

Catalytic activity of Ag/SBA 15 for low temperature gas phase selective oxidation of benzyl alcohol to benzaldehyde

Catalytic activity of Ag/SBA 15 for low temperature gas phase selective oxidation of benzyl alcohol to benzaldehyde Chinese Journal of Catalysis 35 (2014) 108 119 催化学报 2014 年第 35 卷第 1 期 www.chxb.cn available at www.sciencedirect.com journal homepage: www.elsevier.com/locate/chnjc Article Catalytic activity of Ag/SBA

More information

An Introduction to Microelectromechanical Systems(MEMS)

An Introduction to Microelectromechanical Systems(MEMS) An Introduction to Microelectromechanical Systems() Bing-Feng Ju, Professor Institute of Mechatronic Control Engineering, College of Mechanical and Energy Engineering, Zhejiang University P.R.China, 310027

More information

Solar Radiation Climatology Calculation in China

Solar Radiation Climatology Calculation in China June, 214 Journal of Resources and Ecology Vol.5 o.2 J. Resour. Ecol. 214 5 (2) 132-138 DOI:1.5814/j.issn.1674-764x.214.2.5 www.jorae.cn Article Solar Radiation Climatology Calculation in China WAG Chenliang

More information

能源化学工程专业培养方案. Undergraduate Program for Specialty in Energy Chemical Engineering 专业负责人 : 何平分管院长 : 廖其龙院学术委员会主任 : 李玉香

能源化学工程专业培养方案. Undergraduate Program for Specialty in Energy Chemical Engineering 专业负责人 : 何平分管院长 : 廖其龙院学术委员会主任 : 李玉香 能源化学工程专业培养方案 Undergraduate Program for Specialty in Energy Chemical Engineering 专业负责人 : 何平分管院长 : 廖其龙院学术委员会主任 : 李玉香 Director of Specialty: He Ping Executive Dean: Liao Qilong Academic Committee Director:

More information

XING Sheng-Kai LI Yun ZHAO Xue-Zhuang * CAI Zun-Sheng SHANG Zhen-Feng WANG Gui-Chang *

XING Sheng-Kai LI Yun ZHAO Xue-Zhuang * CAI Zun-Sheng SHANG Zhen-Feng WANG Gui-Chang * 1000 物理化学学报 (Wuli Huaxue Xuebao) Acta Phys. Chim. Sin. 2011, 27 (5), 1000-1004 May [Communication] www.whxb.pku.edu.cn Möbius 环并苯的分子对称性 * 邢生凯李云赵学庄 ( 南开大学化学学院, 天津 300071) * 蔡遵生尚贞锋王贵昌 摘要 : 一般来说, 点群理论认为 Möbius

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

High Energy Electron Radiography for HEDP/ICF Diagnostics

High Energy Electron Radiography for HEDP/ICF Diagnostics High Energy Electron Radiography for HEDP/ICF Diagnostics Wei Gai for High Energy Density Electron Imaging Collaboration (ANL/IMP/THU) IPAC 2014 Dresden, Germany Outline I. Background; II. Structure of

More information

A Tableau Algorithm for the Generic Extension of Description Logic

A Tableau Algorithm for the Generic Extension of Description Logic Studies in Logic, Vol. x, No. x (xxxx): 1 10 PII: 1674-3202(xxxx)-0x-0001-10 A Tableau Algorithm for the Generic Extension of Description Logic Ma Li Philosophy Department, Peking University mq2828@126.com

More information

0-12H VSR forecasting and nowcasting review and plan in CMA

0-12H VSR forecasting and nowcasting review and plan in CMA 0-12H VSR forecasting and nowcasting review and plan in CMA Xiaoling Zhang, Bo Yang, Yongguang Zheng, Jie Sheng, Yinjing Lin, Wenyuan Tang, Kanghui Zhou National Meteorological Center, China Meteorological

More information

Happy Niu Year 牛年快乐 1

Happy Niu Year 牛年快乐 1 Happy Niu Year 牛年快乐 1 Celebrating in Style 庆新年 Happy Niu Year 牛年快乐 Read the text below and do the activity that follows. 阅读下面的短文, 然后完成练习 : 2008 is now finally in the past as millions of Chinese people

More information

Effect of lengthening alkyl spacer on hydroformylation performance of tethered phosphine modified Rh/SiO2 catalyst

Effect of lengthening alkyl spacer on hydroformylation performance of tethered phosphine modified Rh/SiO2 catalyst Chinese Journal of Catalysis 37 (216) 268 272 催化学报 216 年第 37 卷第 2 期 www.cjcatal.org available at www.sciencedirect.com journal homepage: www.elsevier.com/locate/chnjc Article Effect of lengthening alkyl

More information

暗物质 II 毕效军 中国科学院高能物理研究所 2017 年理论物理前沿暑期讲习班 暗物质 中微子与粒子物理前沿, 2017/7/25

暗物质 II 毕效军 中国科学院高能物理研究所 2017 年理论物理前沿暑期讲习班 暗物质 中微子与粒子物理前沿, 2017/7/25 暗物质 II 毕效军 中国科学院高能物理研究所 2017 年理论物理前沿暑期讲习班 暗物质 中微子与粒子物理前沿, 2017/7/25 Outline 暗物质 profile 确定 Subhalo 计算 Axion 简介 温暗物质 sterile neutrino Nonthermal DM SIDM Fuzzy dm 2 看什么信号? Gamma, e+,pbar; 什么实验探测? 看什么地方?

More information

Physical design of photo-neutron source based on 15 MeV Electron Linac accelerator and Its Application

Physical design of photo-neutron source based on 15 MeV Electron Linac accelerator and Its Application TMSR Physical design of photo-neutron source based on 15 MeV Electron Linac accelerator and Its Application WANG Hongwei 10/2012 on behalf of Reactor Physics Division of TMSR Nuclear Physics Division Shanghai

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

深圳市凯琦佳科技股份有限公司 纳入规格书

深圳市凯琦佳科技股份有限公司 纳入规格书 深圳市凯琦佳科技股份有限公司 铝电解电容器 PE20450471M2J002 450V470μF Ф 35 X 50 纳入规格书 客户名称 : 物料编码 : 受领印栏 注 : 对此规格书确认后, 在确认后签名, 返传一份与敝公司 第 1 页共 8 页 Snap-in Al-capacitors 铝电解电容器 PE20450471M2J002 450V 470μF Ф 35 X 50 85 2000h

More information

Remote Sensing for Environment of Angkor Site (REAS) Cheng Wang

Remote Sensing for Environment of Angkor Site (REAS) Cheng Wang Remote Sensing for Environment of Angkor Site (REAS) Cheng Wang wangcheng@radi.ac.cn July 4, 2016 Outline Background REAS Project Current Progress Research Background: Brief Review Kulun Mountain Angkor

More information

Surveying,Mapping and Geoinformation Services System for the Major Natural Disasters Emergency Management in China

Surveying,Mapping and Geoinformation Services System for the Major Natural Disasters Emergency Management in China Surveying,Mapping and Geoinformation Services System for the Major Natural Disasters Emergency Management in China 21 February 2013, Bangkok, Thailand Contents 2 1 2 3 4 Working Mechanism Geoinformation

More information

Effects of particle size and particle interactions on scheelite flotation

Effects of particle size and particle interactions on scheelite flotation Trans. Nonferrous Met. Soc. China 24(2014) 3682 3687 Effects of particle size and particle interactions on scheelite flotation Wan-zhong YIN, Ji-zhen WANG College of Resources and Civil Engineering, Northeastern

More information

The Lagrange Mean Value Theorem Of Functions of n Variables

The Lagrange Mean Value Theorem Of Functions of n Variables 陕西师范大学学士学位论文 The Lagrage Mea Value Theorem Of Fuctios of Variables 作 者 单 位 数学与信息科学学院 指 导 老 师 曹怀 信 作 者 姓 名 李 碧 专 业 班 级数学与应用数学专业 4 级 班 The Lagrage Mea Value Theorem of a Fuctio of Variables LI i lass, Grade

More information

Enhancement of the activity and durability in CO oxidation over silica supported Au nanoparticle catalyst via CeOx modification

Enhancement of the activity and durability in CO oxidation over silica supported Au nanoparticle catalyst via CeOx modification Chinese Journal of Catalysis 39 (2018) 1608 1614 催化学报 2018 年第 39 卷第 10 期 www.cjcatal.org available at www.sciencedirect.com journal homepage: www.elsevier.com/locate/chnjc Article Enhancement of the activity

More information

Alternative flat coil design for electromagnetic forming using FEM

Alternative flat coil design for electromagnetic forming using FEM Alternative flat coil design for electromagnetic forming using FEM M. AHMED 1, S. K. PANTHI 1, N. RAMAKRISHNAN 2, A. K. JHA 1, A. H. YEGNESWARAN 1, R. DASGUPTA 1, S. AHMED 3 1. Advanced Materials and Processes

More information

Extraction and Dynamic Spatial-Temporal Changes of Grassland Deterioration Research Hot Regions in China

Extraction and Dynamic Spatial-Temporal Changes of Grassland Deterioration Research Hot Regions in China July, 2017 Journal of Resources and Ecology Vol. 8 No.4 J. Resour. Ecol. 2017 8(4) 352-358 DOI: 10.5814/j.issn.1674-764x.2017.04.006 www.jorae.cn Extraction and Dynamic Spatial-Temporal Changes of Grassland

More information

NiFe layered double hydroxide nanoparticles for efficiently enhancing performance of BiVO4 photoanode in

NiFe layered double hydroxide nanoparticles for efficiently enhancing performance of BiVO4 photoanode in Chinese Journal of Catalysis 39 (218) 613 618 催化学报 218 年第 39 卷第 4 期 www.cjcatal.org available at www.sciencedirect.com journal homepage: www.elsevier.com/locate/chnjc Communication (Special Issue on Environmental

More information

Revision Booklet Grade 6 June 2018

Revision Booklet Grade 6 June 2018 Revision Booklet Grade 6 June 2018 For an electronic version of this booklet scan: Contents What to revise...2 Syllabus details (CIE Secondary 1 Science) - Chemistry (C)...3 Syllabus details (CIE Secondary

More information

Measurement of accelerator neutron radiation field spectrum by Extended Range Neutron Multisphere Spectrometers and unfolding program

Measurement of accelerator neutron radiation field spectrum by Extended Range Neutron Multisphere Spectrometers and unfolding program Measurement of accelerator neutron radiation field spectrum by Extended Range Neutron Multisphere Spectrometers and unfolding program LI Guanjia( 李冠稼 ), WANG Qingbin( 王庆斌 ), MA Zhongjian( 马忠剑 ), GUO Siming(

More information