sean carroll lecture notes on general relativity pdf
Lecture notes on general relativity s carroll
... December 1997 Lecture Notes on General Relativity Sean M. Carroll 1 Special Relativity and Flat SpacetimeWe will begin with a whirlwind tour of special relativity (SR) and life in ... 1997 Lecture Notes on General Relativity Sean M. Carroll Institute for Theoretical PhysicsUniversity of CaliforniaSanta Barbara, CA 93106 carroll@ itp.ucsb.eduDecember 1997AbstractThese notes ... prop-erties of tensors. First consider the operation of contraction, which turns a (k, l) tensorinto a (k −1, l −1) tensor. Contraction proceeds by summing over one upper and one lowerindex:Sà=...
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LECTURE NOTES ON ELECTRICAL & ELECTRONIC TECHNIQUE
... Umsin(ωt+θ)ωt0 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: It ↑ → Ut. Để khắc phục, quấn cuộn kích từ nối tiếp ... Nguyễn Như Phong 1999 KTHTCN - ẹHBK ẹIEU CHặNH TOC ẹO ẹC. KẹB ()11nn s= ã Thay ủoồi vaọn toỏc ủong bộ pfn601= − Thay đổi số cực p(a/) − Thay đổi tần số f. o Giữ U1 = const (b/) ... 2222P0WRIPAIIAZUIVUUUVUjUPppdppppndpPnan=ì=====+======+==ã Máy Điện 18/35 KTĐ & ĐT GVC. ThS. Nguyễn Như Phong 1999 KTHTCN - ĐHBK MỞ MÁY ĐỘNG CƠ KHONG ẹONG BO ã Yeõu cau: Mm > Mc. − M: đủ lớn để thời gian mở máy...
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The galactic black hole lectures on general relativity and astrophysics
... black hole: a general relativistic introduction[21] Will C M 2001 The confrontation between general relativity and experiment LivingRev. Relativity 4 4 [Online article]: cited on 17 Nov 2001. ... parameter 2m is an integration constant. Its interpretation can beobtained by means of a transition to Newton’s theory. It turns out that (G isNewton’s gravitational constant and M is the mass ... equation:Rà12Rgà Einstein tensor Gà+gà= Tà. (1.44)The value := 8G/c4of Einsteins gravitational constant can be determinedby a transition to the Newtonian limit of general relativity. ...
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Toán học quốc tế olympiad vol6 lecture notes on mathematical olympiad courses for junior section vol 1
... Shelton Street, Covent Garden, London WC2H 9HEPrinted in Singapore.Mathematical Olympiad Series — Vol. 6 LECTURE NOTES ON MATHEMATICAL OLYMPIAD COURSESFor Junior SectionZhangJi - Lec Notes on ... 3(x + y)+ 1 = 0.Solution (I) By operations on equations to eliminate a variable.19 Lecture Notes on Mathematical Olympiad 17Solution 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 productform.(III)...
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Lecture Notes on Cryptography ppt
... collection of one way functions. For this wemust show that it satisfies each of the conditions in the definition of a collection of one way functions.For condition 1, define S1to run as follows on ... definition of a hard-core predicate for a one way function, to a collection of hardcore 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 adversarygets an oracle for the function g being tested. However when g is a permutation one can also consider the Cryptography: Lecture Notes...
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lecture notes on quantum mechanics
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Tài liệu Lecture Notes in Control and Information SciencesEditors: M. Thoma pdf
... (2.15) (conditionA)2.Theresponsecomponentofthecomplexconjugaterootissmallerthantheresponse 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, ... ofopportunities of discussion with Kyura,who is long-term working on theservocontroller design and its application in mechatronic industry, on thecontrolof mechatronic machine during the past...
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Tài liệu Lecture Notes in Geoinformation and Cartography pdf
... 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 ... LANEpidemic Prevention Policy, Medicine and OA Information …. DEMΞΞData acquisition and Communication GPS Data Acquisition Field Investigation Data Image Data Extraction …. Statistical ... 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...
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Tài liệu Lecture Notes in Economics and Mathematical Systems pdf
... |Xn|≤YP-a.s. for all n.Condition 2. is Lebesgue’s ’dominated convergence’ condition.The relation between L1-convergence and convergence in probabil-ity is now given byProposition 1.2.4. (Lebesgue) ... (1973), which leads to the solution of PDE’sunder boundary conditions. 1.2 Convergence Concepts for Random Variables 9The above example shows that an additional condition is neededwhich prevents ... 503 The Girsanov Transformation 553.1 HeuristicIntroduction 553.2 TheGeneralGirsanovTransformation 583.3 ApplicationtoBrownianMotion 634 Application to Financial Economics 674.1 The Market...
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Báo cáo khoa học: Identification of small scale biochemical networks based on general type system perturbations pdf
... assumption of con-stant parameter perturbations.)Choice of sampling time and dealingwith moiety conservationsBiochemical networks generally contain dynamic modeswith a wide range of time constants. ... expression levels of large gene setsand the concentrations of metabolites, are evolvingrapidly. These data sets contain the informationrequired to uncover the organization of biologicalsystems on ... param-eter, not only concentrations of specific components, and that the directeffect of the perturbations does not need to be known. This is important asconcentration perturbations are often difficult...
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Data Mining Classification: Alternative Techniques - Lecture Notes for Chapter 5 Introduction to Data Mining pdf
... a collection of “if…then…” rulesRule: (Condition) → ywhere ã Condition is a conjunctions of attributes ã y is the class label–LHS: rule antecedent or condition–RHS: rule consequent–Examples ... Introduction to Data Mining 8 From Decision Trees To RulesYESYESNONONONONONOYes No{Married}{Single, Divorced}< 80K > 80KTaxable IncomeMarital StatusRefundClassification 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...
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Data Mining Association Analysis: Basic Concepts and Algorithms Lecture Notes for Chapter 6 Introduction to Data Mining pdf
... that contain both X and YConfidence (c)ãMeasures how often items in Y appear in transactions thatcontain X © Tan,Steinbach, Kumar Introduction to Data Mining 37 FP-tree constructionTID ... ⇒4.052|T|)BeerDiaper,,Milk(===σs67.032)Diaper,Milk()BeerDiaper,Milk,(===σσcAssociation Rule–An implication expression of the form X → Y, where X and Y are itemsets–Example: {Milk, Diaper} → {Beer} Rule Evaluation MetricsSupport (s)ãFraction of transactions that ... Association Analysis: Basic Concepts and Algorithms Lecture Notes for Chapter 6Introduction to Data MiningbyTan, Steinbach, Kumarâ Tan,Steinbach, Kumar Introduction to Data Mining 1 © Tan,Steinbach,...
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