lecture notes on general relativity pdf

... integration 3. Curvature covariant derivatives and connections — connection coefficients — transformation properties — the Christoffel connection — structures on manifolds — parallel trans- port — the parallel ... prop- erties of tensors. First consider the operation of contraction, which turns a (k, l) tensor into a (k −1, l −1) tensor. Contraction proceeds by summing over one upper and one lower index: S µρ σ = ... tetrads and non-coordinate bases — the spin connection — Maurer-Cartan structure equations — fiber bundles and gauge transformations 4. Gravitation the Principle of Equivalence — gravitational redshift...

Ngày tải lên: 17/03/2014, 14:28

... U m sin(ωt+θ) ωt 0 Máy Điện 28/35 KTĐ & ĐT GVC. ThS. Nguyễn Như Phong 1999 KTHTCN - ĐHBK MPMC KÍCH TỪ HỖ HP Với MP kích từ song song: I t ↑ → U t . Để khắc phục, quấn cuộn kích từ nối tiếp ... Phong 1999 KTHTCN - ĐHBK CÁC LOẠI ĐC. KĐB MỘT PHA. • Động cơ dùng dây quấn phụ mở máy. − Dùng trong: máy điều hòa, máy giặt, quạt, bơm ly tâm. − CC % CP lệch 90 0 điện trong ... nhỏ, y thấp. − Khả năng quá tải kém. − Dùng trong đồ chơi tải nhỏ. . . 1 n m M n M Máy Điện 11/35 KTĐ & ĐT GVC. ThS. Nguyễn Như Phong 1999 KTHTCN - ĐHBK MÁY BIẾN ÁP ĐẶC BIỆT • ...

Ngày tải lên: 25/10/2013, 13:15

... black hole: a general relativistic introduction [21] Will C M 2001 The confrontation between general relativity and experiment Living Rev. Relativity 4 4 [Online article]: cited on 17 Nov 2001. ... parameter 2m is an integration constant. Its interpretation can be obtained by means of a transition to Newton’s theory. It turns out that (G is Newton’s gravitational constant and M is the mass ... non-adiabatic spherical accretion 284 10.2.3 Radiation from spherical accretion 288 10.2.4 Calculation of the spectrum due to spherical accretion 290 10.3 Non-spherical accretion models 292 10.3.1 Keplerian...

Ngày tải lên: 19/01/2014, 14:03

... Shelton Street, Covent Garden, London WC2H 9HE Printed in Singapore. Mathematical Olympiad Series — Vol. 6 LECTURE NOTES ON MATHEMATICAL OLYMPIAD COURSES For Junior Section ZhangJi - Lec Notes on ... − 3(x + y) + 1 = 0. Solution (I) By operations on equations to eliminate a variable. 19 Lectur e Notes on Mathematical Olympiad 17 Solution We rewrite the given equation in the form (a − 3)x = ... formulae: like those mentioned in Lecture 5. How- ever, contrary to Lecture 5, at present each formula is applied for con- verting an expression in non-product form to a new expression in product form. (III)...

Ngày tải lên: 11/03/2014, 16:55

Ngày tải lên: 17/03/2014, 14:41

... collection of one way functions. For this we must show that it satisfies each of the conditions in the definition of a collection of one way functions. For condition 1, define S 1 to run as follows on ... definition of a hard-core predicate for a one way function, to a collection of hard core predicates for a collection of one-way functions. Definition 2.50 A hard-core predicate of a one-way function ... that one can consider. One, as before, is that the adversary gets an oracle for the function g being tested. However when g is a permutation one can also consider the Cryptography: Lecture Notes...

Ngày tải lên: 28/03/2014, 20:20

Ngày tải lên: 31/03/2014, 12:20

Ngày tải lên: 31/03/2014, 16:27

Ngày tải lên: 24/04/2014, 17:10

Ngày tải lên: 24/04/2014, 17:12

Ngày tải lên: 24/04/2014, 17:17

Ngày tải lên: 12/05/2014, 02:47

Ngày tải lên: 24/04/2014, 17:07

... (2.15) (conditionA) 2. Ther esp onse comp onen to ft he complex conjugate ro ot is smaller than theresponse componentofthe principalroot(condition B). 3. The response componentofthe complex conjugate ... be considered. When the velocityofpresentcontourcontrol is below25[m /min], the tra- jectory deviation does notoccur.Therefore, in the controlbasedonthe previ- ousposition decisioncontrol concept, ... of opportunities of discussion with Kyura,who is long-term working on theservo controller design and its application in mechatronic industry, on thecontrol of mechatronic machine during the past...

Ngày tải lên: 13/02/2014, 08:20

Ngày tải lên: 16/02/2014, 18:20

... 1990; Rushton and Lolonis 1996). Again, on the left, patterns are different and depend on scale. We can conclude that patterns depend on scale and actions based on patterns should consider the ... LAN Epidemic Prevention Policy, Medicine and OA Information …. DEMΞΞ Data acquisition and Communication  GPS Data Acquisition  Field Investigation Data  Image Data Extraction …. S tatistical ... Region Segregation and Query  Real Time Alarm, Display and Process- ing Internet Information Publishing  Epidemic Information Publishing on Web  Statistical Query on Web  Decision Analysis...

Ngày tải lên: 17/02/2014, 20:20

... |X n |≤YP- a.s. for all n. Condition 2. is Lebesgue’s ’dominated convergence’ condition. The relation between L 1 -convergence and convergence in probabil- ity is now given by Proposition 1.2.4. (Lebesgue) ... (1973), which leads to the solution of PDE’s under boundary conditions. 1.2 Convergence Concepts for Random Variables 9 The above example shows that an additional condition is needed which prevents ... 50 3 The Girsanov Transformation 55 3.1 HeuristicIntroduction 55 3.2 TheGeneralGirsanovTransformation 58 3.3 ApplicationtoBrownianMotion 63 4 Application to Financial Economics 67 4.1 The Market...

Ngày tải lên: 22/02/2014, 06:20

... assumption of con- stant parameter perturbations.) Choice of sampling time and dealing with moiety conservations Biochemical networks generally contain dynamic modes with a wide range of time constants. ... expression levels of large gene sets and the concentrations of metabolites, are evolving rapidly. These data sets contain the information required to uncover the organization of biological systems on ... param- eter, not only concentrations of specific components, and that the direct effect of the perturbations does not need to be known. This is important as concentration perturbations are often difficult...

Ngày tải lên: 07/03/2014, 17:20

... collection of “if…then…” rules Rule: (Condition) → y – where • Condition is a conjunctions of attributes • y is the class label – LHS: rule antecedent or condition – RHS: rule consequent – Examples ... Introduction to Data Mining 8 From Decision Trees To Rules YESYESNONO NONO NONO Yes No {Married} {Single, Divorced} < 80K > 80K Taxable Income Marital Status Refund Classification Rules (Refund=Yes) ... removing one of the conjuncts in A – Compare the pessimistic error rate for r against all r’s – Prune if one of the r’s has lower pessimistic error rate – Repeat until we can no longer improve generalization...

Ngày tải lên: 15/03/2014, 09:20