geometry data physics and mathematics 1

lieb, yngvason. physics and mathematics of the 2nd law of thermodynamics

lieb, yngvason. physics and mathematics of the 2nd law of thermodynamics

... Landsberg (19 56), Buchdahl (19 58, 19 60, 19 62, 19 66), Buchdahl and Greve (19 62), Falk and Jung (19 59), Bernstein (19 60), Giles (19 64), Cooper (19 67), Boyling (19 68, 19 72), Roberts and Luce (19 68), ... and Lavine (19 83), Green and Naghdi (19 78), Gurtin (19 75), Man (19 89), Pitteri (19 82), Owen (19 84), Serrin (19 83, 19 86, 19 79), Silhavy (19 97), Truesdell and Bharata (19 77), Truesdell (19 80, 19 84) ... Yngvason / Physics Reports 310 (19 99) 1 96 19 axiom 2 .1. 2, and similar requirements were made earlier by Landsberg (19 56), Falk and Jung (19 59) and Buchdahl (19 62, 19 66).) While these two conditions...

Ngày tải lên: 24/04/2014, 17:14

96 585 0
Tài liệu Frontiers in Number Theory, Physics, and Geometry II docx

Tài liệu Frontiers in Number Theory, Physics, and Geometry II docx

... Control Number: 2005936349 Mathematics Subject Classification (2000): 11 F03, 11 F06, 11 G55, 11 M06, 15 A90, 16 W30, 57T05, 58B34, 81R60, 81T16, 81T17, 81T30, 81T40, 81T75, 81R05 ISBN -10 3-540-30307-3 Springer ... x 1 x x2 log x (1 − x) log , log 12 (1 − x) 1 x x (1 − y)2 x (1 − y) 1 y x D3 − 2D3 − 2D3 + D3 (xy) + D3 y (1 − x)2 y y (1 − x) 1 x x (1 − y) y (1 − x) − 2D3 − 2D3 (x) − 2D3 (y) −2D3 x 1 y 1 x x (1 − ... , z1 , z2 , z3 ) = n D(a0 , a1 , a2 , a3 ) z1 ∈ f 1 (a1 ) z2 ∈ f 1 (a2 ) z3 ∈ f 1 (a3 ) (z0 , a1 , a2 , a3 ∈ P1 (C)) , 12 Don Zagier where f : P1 (C) → P1 (C) is a function of degree n and...

Ngày tải lên: 12/02/2014, 16:20

806 549 1
Tài liệu Frontiers in Number Theory, Physics, and Geometry I ppt

Tài liệu Frontiers in Number Theory, Physics, and Geometry I ppt

... 2005936349 Mathematics Subject Classification (2000): 11 A55, 11 K50, 11 M 41, 15 A52, 37C27, 37C30, 58B34, 81Q50, 81R60 ISBN -10 3-540-2 318 9-7 Springer Berlin Heidelberg New York ISBN -13 978-3-540-2 318 9-9 ... p.p.o m=0 p.p.o n =1 m=0 ∞ lp = p.p.o ∞ e−lp ns e−lp n(s 1/ 2) = lp − e−lp n sinh nlp /2 p.p.o n =1 n =1 Choose α = s − 1/ 2 and β = s − 1/ 2 then n kn 1 − 2 + (s − 1/ 2) kn + (s − 1/ 2)2 1 µ(D) ∞ k πk ... = i(s − 1/ 2) and from poles kn = i(n + 1/ 2) of πk f (s) = 2πi i tanh[iπ(s − 1/ 2)] + π ∞ = π cot πs − ∞ ∞ n + 1/ 2 (s − 1/ 2)2 − (n + 1/ 2)2 n=0 1 + s − n n =1 s + n n =1 But ∞ π cot πs = ∞ 1 + , s...

Ngày tải lên: 12/02/2014, 17:20

637 423 0
Topology and Geometry in Physics doc

Topology and Geometry in Physics doc

... 99 99 10 0 10 5 10 9 11 3 11 5 11 9 12 1 12 4 12 6 12 7 13 0 13 3 13 5 13 8 14 2 14 3 14 6 14 6 14 7 14 8 15 2 15 4 15 6 15 6 15 8 16 5 Chiral Anomalies and Topology J Zinn-Justin ... Supersymmetric QM 17 0 17 3 17 4 17 7 17 8 17 9 18 0 18 1 18 2 18 4 18 4 18 8 19 4 19 5 19 6 19 8 19 9 2 01 206 210 212 212 214 215 216 217 2 21 222 222 226 227 229 2 31 Supersymmetric Solitons and Topology M Shifman ... Theories, and Gravity o u (Cambridge University Press, Cambridge 19 87) 11 M Nakahara, Geometry, Topology and Physics, 2nd ed (IOP Publishing, Bristol 2003) 12 C Nash and S Sen, Topology and Geometry...

Ngày tải lên: 22/03/2014, 09:20

370 772 0
Bruce r  kusse, erik a  westwig mathematical physics applied mathematics for scientists and engineers

Bruce r kusse, erik a westwig mathematical physics applied mathematics for scientists and engineers

... Series, 15 3 6.9 The Complex Laurent Series, 15 9 6 .10 The Residue Theorem, 17 1 6 .1 Definite Integrals and Closure, 17 5 6 .12 Conformal Mapping, 18 9 13 5 ix CONTENTS 219 Fourier Series 7 .1 The Sine-Cosine ... Equation 1. 35 becomes - - A 'B = (1. 38) AiBj6ij Equation 1. 38 can be expanded by explicitly doing the independent sums over both i and j A B = A I B 1 +AlB2 612 +A1B3 613 +A2B1 &1 + (1. 39) Since ... 433 11 .3 Cylindrical Solutions, 4 41 11. 4 Spherical Solutions, 458 12 Integral Equations 4 91 12 .1 Classification of Linear Integral Equations, 492 12 .2 The Connection Between Differential and...

Ngày tải lên: 04/10/2016, 15:21

699 869 0
Data Integrity and Advanced Query Technique

Data Integrity and Advanced Query Technique

... có table1(ColumnA varchar (10 ), ColumnB int) table2(ColumnC varchar (10 ), ColumnD int) Ta muốn select data từ table1 ghép với data từ table2 để tạo thành kết ta làm sau: SELECT * FROM Table1 UNION ... phức tạp sau: SELECT OrdD1.OrderID AS OrderID, SUM(OrdD1.Quantity) AS "Units Sold", SUM(OrdD1.UnitPrice * OrdD1.Quantity) AS Revenue FROM [Order Details] AS OrdD1 WHERE OrdD1.OrderID in (SELECT DISTINCT ... Constraints sau: CREATE TABLE Table1 (Col1 INT PRIMARY KEY, Col2 VARCHAR(30) ) hay CREATE TABLE Table1 (Col1 INT, Col2 VARCHAR(30), CONSTRAINT table_pk PRIMARY KEY (Col1) ) Unique Constraint Bạn tạo...

Ngày tải lên: 25/08/2012, 09:00

9 726 0
Data warehuose and data mining

Data warehuose and data mining

... quan trong qui trình KDD Pattern Evaluation Data mining Task relevant data Data warehouse Data cleaning Knowledge Data integration selection Mục đích KTDL Data Mining Descriptive Predictive Classification ... Customer • Data Warehouse Biến thời gian • Time • Data • 01/ 97 Data for January • • 02/97 Data for February • • 03/97 Data for March • • Data • Warehouse Ổn Định • Là lưu trữ vật lý liệu chuyển ... Trong : X = {x1, x2, …., xn} Y = {y1, y2, …, ym} xi, yj hạng mục(item) riêng biệt cho tất i, j Đó mối kết hợp khách hàng mua X, người có mua Y Hình thức LHS (left-hand side), RHS (righthand side)...

Ngày tải lên: 18/01/2013, 16:15

36 481 0
DATA ANALYSIS AND DISCUSSION

DATA ANALYSIS AND DISCUSSION

... support the data obtained from the survey questionnaires 28 CHAPTER IV- DATA ANALYSIS AND DISCUSSION 4 .1. Questionnaires 4 .1. 1 Data analysis of the students’ experiment questionnaires 4 .1. 1 .1 Data analysis ... 3.6 Data analysis 27 CHAPTER IV- DATA ANALYSIS AND DISCUSSION 28 4 .1. Questionnaires 28 4 .1. 1 Data analysis of the students’ experiment questionnaires 28 4 .1. 2.Comparison ... 3.6 Data analysis 27 CHAPTER IV- DATA ANALYSIS AND DISCUSSION 28 4 .1. Questionnaires 28 4 .1. 1 Data analysis of the students’ experiment questionnaires 28 4 .1. 2.Comparison...

Ngày tải lên: 12/04/2013, 16:19

75 464 1
Data mining and medical knowledge management   cases and applications

Data mining and medical knowledge management cases and applications

... numbers and binary records message x P(x) expected number binary record β(x) x (1) ½ 10 24/2 = 512 x ¼ 10 24/4 = 256 01 x 1/ 8 10 24/8 = 12 8 0 01 x(4) 1/ 16 10 24 /16 = 64 000 x(5) 1/ 32 10 24/32 = 32 000 01 ... ∫ 1 I ( P, Q ) 15 − d = ∫ d + ∫ (1 − ) (1 − ) 81 15 2 15 =− 15 1 d = (1 − ) 2 d d d d ∫ + ∫ (1 − ) + ∫ = ∫ (1 − ) = 87 7 15  1   = ∫ +  d = log e  = log e = 0 .13 35 nat 1  −  15  ... = p (1 − p)4 P(x(6)) = P (1, 1, 1, 1, 1, 0) = p (1 − p)5 ∞ P(x(7)) = P (1, 1, 1, 1, 1, 1) = p ∑ (1 − p)i = (1 − p)6 i =6 for a certain value p ∈ (0, 1) Message X of whether and when the donor’s clinical...

Ngày tải lên: 16/08/2013, 16:24

465 632 2
Data Access and Networking

Data Access and Networking

... hand and two text columns containing the nickname and notes about the hand 14 6 CHAPTER ■ DATA ACCESS AND NETWORKING ... Grid.Column= "1" /> < /data: DataGridTemplateColumn.CellTemplate> < /data: DataGridTemplateColumn>

Ngày tải lên: 05/10/2013, 03:20

16 381 0
Data Binding and Silverlight List Controls

Data Binding and Silverlight List Controls

... as follows: < /data: DataGrid.Columns> < /data: DataGrid> Referring back to Figure 5 -12 , the first ... to the Card1 and Card2 properties from the data source Enter the following code: < /data: DataGridTemplateColumn.CellTemplate> < /data: DataGridTemplateColumn> < /data: DataGrid.Columns> < /data: DataGrid> Again, referring back to Figure 5 -12 , the...

Ngày tải lên: 05/10/2013, 03:20

32 347 1
Effects - Physics and Particles

Effects - Physics and Particles

... CHAPTER 10 ■ EFFECTS: PHYSICS AND PARTICLES Figure 10 -1 Particles as bodies Figure 10 -1 shows a bunch of falling particles, and as they fall they bounce off each other and the line of ... keyFrames: KeyFrame{ time: 1/ 15.0*1s action: emit; } } 211 CHAPTER 10 ■ EFFECTS: PHYSICS AND PARTICLES init{ blendMode = BlendMode.ADD; bodies[0] = new Body(new Circle(4), 1) ; bodies[0].setPosition(translateX, ... 2.0 + Main.random.nextFloat()*3.0; var direction = 225 + Main.random.nextInt(90); var speed = Main.random.nextInt(50); var particle = PhysicsParticle{ scaleX: size /11 .0 scaleY: size /11 .0 translateX:...

Ngày tải lên: 05/10/2013, 12:20

14 307 0
Data Types and Values

Data Types and Values

... which range from - 214 7483648 (-2 31) to 214 7483647 (2 31 -1) 3 .1. 2 Hexadecimal and Octal Literals In addition to base -10 integer literals, JavaScript recognizes hexadecimal (base -16 ) values A hexadecimal ... which are used to represent values 10 through 15 Examples of hexadecimal integer literals are: 0xff // 15 *16 + 15 = 255 (base 10 ) 0xCAFE 911 Although the ECMAScript standard does not support them, ... numbers as large as 1. 79769 313 4862 315 7 x 10 308 and as small as ±5 x 10 -324 [1] This format should be familiar to Java programmers as the format...

Ngày tải lên: 05/10/2013, 12:20

19 550 0
Data Integrity and Advanced Query Technique

Data Integrity and Advanced Query Technique

... có table1(ColumnA varchar (10 ), ColumnB int) table2(ColumnC varchar (10 ), ColumnD int) Ta muốn select data từ table1 ghép với data từ table2 để tạo thành kết ta làm sau: SELECT * FROM Table1 UNION ... phức tạp sau: SELECT OrdD1.OrderID AS OrderID, SUM(OrdD1.Quantity) AS "Units Sold", SUM(OrdD1.UnitPrice * OrdD1.Quantity) AS Revenue FROM [Order Details] AS OrdD1 WHERE OrdD1.OrderID in (SELECT DISTINCT ... Constraints sau: CREATE TABLE Table1 (Col1 INT PRIMARY KEY, Col2 VARCHAR(30) ) hay CREATE TABLE Table1 (Col1 INT, Col2 VARCHAR(30), CONSTRAINT table_pk PRIMARY KEY (Col1) ) Unique Constraint Bạn tạo...

Ngày tải lên: 06/10/2013, 17:20

8 380 0
Introducing Data Types and Operators

Introducing Data Types and Operators

... the digits through plus the letters A through F, which stand for 10 , 11 , 12 , 13 , 14 , and 15 For example, the hexadecimal number 10 is 16 in decimal Because of the frequency with which these two ... For example, assuming a 16 -bit integer, here is 32,767: 1 1 1 1 1 1 1 For a signed value, if the high-order bit were set to 1, the number would then be interpreted as 1 (assuming the two’s complement ... of the literal 10 .0? How you specify 10 0 as a long int? How you specify 10 0 as an unsigned int? What is \b? Answer Key: 10 is an int and 10 .0 is a double 10 0 as a long int is 10 0L 10 0 as an unsigned...

Ngày tải lên: 27/10/2013, 08:15

32 406 0
Tài liệu overview of data modeling and database design pptx

Tài liệu overview of data modeling and database design pptx

... ORD_ID 10 0 10 0 10 1 10 1 10 2 Primary Key Primary Key ITEM_ID S_ITEM Table CUSTOMER_ID 204 205 206 208 ID 10 0 10 1 10 2 10 3 PRODUCT_ID 10 011 10 013 304 21 410 10 2 018 0 DATE_ORDERED 31- AUG-92 31- AUG-92 01- SEP-92 ... slide Answer: 1: 1 Husband and wife; taxi and driver; machine and operator; ship and dock M :1 Orders and items; auto and occupants; plane and passengers M:M Employees and skills; products and warehouses ... identified by its attribute number and the specific order number to which the item is related Order number Item number Product number 10 0 209 10 0 399 10 0 876 10 1 630 10 1 297 Recursive Relationship...

Ngày tải lên: 10/12/2013, 17:15

40 651 0
Tài liệu Data Management and Access Products ppt

Tài liệu Data Management and Access Products ppt

... Interface 21 21 21 21 21 21 21 21 21 21 21 21 EIA-530 PMM- 614 0 01 PMM- 616 0 01 PMM- 616 004 PMM- 616 004RED PMM- 616 005 PMM-6360 01 PMM-636002 PMM-636003 PMM-636003RED PMME-5 PMPB-530-2 13 13 13 13 13 14 14 EIA-232/V.24 ... No No 16 PMMLA -1 16 PMMLA -1 16 PMMLA -1 16 PMMLA-2 16 PMML -1 16 PMML-2 16 PMM -1 16 PMM-2 Options None None None None None None None None 2 2 2 2 PMCH -1 PMCH -1 PMCH -1 PMCH -1 PMCH -1 PMCH -1 PMCH-2 ... No No No No PMM-636003 16 PMM- 614 0 01 None 16 PMM- 614 0 01 None 16 PMM- 614 004 None 16 PMM- 614 004RED PMM-636003 16 PMM- 614 005 16 PMM- 616 005RED PMM-636-0 01 2 1 PMCH -1 PMCH -1 PMCH-2 PMCH-2 PMCH-2 PMCH-2...

Ngày tải lên: 10/12/2013, 17:15

68 600 0
Tài liệu Bài 6: Data Access and Viewingwith .NET docx

Tài liệu Bài 6: Data Access and Viewingwith .NET docx

... System .Data – Để truy cập xử lý CSDL, sử dụng namespace System .Data, System .Data. Common, System .Data. OleDb, System .Data. SqlClient, System .Data. SqlTypes – Các lớp System .Data: DataSet, DataTable, DataRow, ... Add data table vào data set cách thêm vào thuộc tính Tables data set Data Access and Viewing with NET Editor: Đoàn Quang Minh Đoà 10 Working with DataSet – Example DataSet ds = new DataSet(); DataTable ... data adapter – Tạo data set – Sử dụng phương thức Fill() data adapter Xây dựng cách thêm data table – Tạo DataSet – Tạo DataTable Khởi tạo data table cách thêm DataColumn Thêm dòng liệu vào data...

Ngày tải lên: 13/12/2013, 09:16

20 424 0
w