... December 1997 Lecture Notes on General Relativity Sean M. Carroll 1 Special Relativity and Flat Spacetime We will begin with a whirlwind tour of special relativity (SR) and life in ... dust is given by ρ = nm . (1.105) December 1997 Lecture Notes on General Relativity Sean M. Carroll 2 Manifolds After the invention of special relativity, Einstein tried for a number of years ... 1997 Lecture Notes on General Relativity Sean M. Carroll Institute for Theoretical Physics University of California Santa Barbara, CA 93106 carroll@itp.ucsb.edu December 1997 Abstract These notes...
Ngày tải lên: 17/03/2014, 14:28
... in the next chapter, we shall put all of this tensor machinery to use in our discussion of general relativity following. 3.8 Summary 6 CHAPTER 1. NEWTONIAN COSMOLOGY force, r is the distance, ... Introduction Many of the modern ideas in cosmology can be explained without the need to discuss General Relativity. The present chapter represents an attempt to do this based entirely on Newtonian ... k R 2 (1.18) which species the speed of recession. The scale factor is introduced because in General Relativity it is space itself which expands [19]. Even though this equation is derived for matter,...
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Tài liệu Lecture Notes in Control and Information SciencesEditors: M. Thoma pdf
... cannotbeobtainedinthe mechatronic servosystem as same as the general feedbacksystem. Fortaking into account the system as same as the general feedbacksystem, the condition is that the system should ... is called ajointlinearized model. Here, u 1 ( t )and u 2 ( t )denotes the angle input of axis 1and axis2,respec- tively. K p denotes K p 1 of equation (2.23) in thel ow sp eed 1st order mo del of 2.2.3. Fig. 2.12i llustrates the blo ck diagram of the1 st order system. In this section, ... from the ob jectiv et ra jectory ,t he be ginning po in ta nd end po in ti nw orking co ordi- nateswithin one divided small interval are expr essed by ( p 0 x ,p 0 y ), ( p ∆T x ,p ∆T y ), Lecture Notes in Control and Information Sciences 300 Editors: M. Thoma · M. Morari 34 2M athematical Mo del Construction of aM ec hatronic Serv oS ystem ζ 2 ≥...
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Tài liệu Medical USMLE Step 2 CK Lecture Notes: Internal Medicine pdf
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Tài liệu Lecture Notes in Geoinformation and Cartography pdf
... Foundation under Grants #40471111 and #70571076, and by the 973 Project under Grant #2001CB5103. Lecture Notes in Geoinformation and Cartography Series Editors: William Cartwright, Georg Gartner, ... geocoded cancer registry data largely because software to make such maps is not available for general registry use. There are three essential properties of more useful mapping methods: 1. ... Spatial and Temporal Epidemic Forecast- ing Epidemic High Risk Population Tracing …. Fig. 2. General structure of the Epidemic SDSS 3.3 Epidemic Spatial Database Construction With regard...
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Tài liệu Lecture Notes in Economics and Mathematical Systems pdf
... tragic fate and the mathematical legacy of W. Dăoblin see Bru and Yor (2002). Introduction The lecture notes are organized as follows: Chapter 1 gives a concise overview of the theory of Lebesgue ... process X the map X T : Ω −→ (IR d , B d ) ω −→ X T (ω):=X T (ω) (ω) is F T -measurable. Lecture Notes in Economics and Mathematical Systems 579 Founding Editors: M. Beckmann H.P. Künzi Managing ... frequently applied, e.g. to u(X)=|X| ,u(X)= e X or u(X)=[X −a] + . L p -Spaces (1 ≤ p<∞) L p (Ω) denotes the set of all real-valued random variables X on (Ω,F,P) with E[|X| p ] < ∞ for some 1...
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Data Mining Classification: Alternative Techniques - Lecture Notes for Chapter 5 Introduction to Data Mining pdf
... r’s – Prune if one of the r’s has lower pessimistic error rate – Repeat until we can no longer improve generalization error © Tan,Steinbach, Kumar Introduction to Data Mining 32 C4.5 versus C4.5rules...
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Data Mining Association Analysis: Basic Concepts and Algorithms Lecture Notes for Chapter 6 Introduction to Data Mining pdf
... Generation Traversal of Itemset Lattice – General- to-specific vs Specific-to -general Data Mining Association Analysis: Basic Concepts and Algorithms Lecture Notes for Chapter 6 Introduction to Data...
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wudka j. physics 7, special relativity and cosmology (lecture notes, 2002)(214s)
... Theory of Relativity itself was inapplicable under certain conditions, for example, near very heavy bodies. He then provided the generalization which encompasses these situations as well: the General ... describe light accu- rately). Einstein also provided the generalization of Newton’s equations to the realm of such high speeds: the Special Theory of Relativity. Perhaps more importantly, he also demonstrated ... all its basic postulates; he was also the creator of the idea of relativity, later used by Einstein to construct his Special and General theories. The next great player was Isaac Newton, who provided...
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Lecture Notes in Computer Science- P7 pdf
... through WWW and the system classifies the teaching components up- loaded by the teachers according to general classification standard of detailed subitems at different grades which can avoid the complexity...
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Lecture Notes in Computer Science- P22 pdf
... Strategy a Preliminary Synthesis of the Literature (2003), http://www.temple.edu/lss /pdf/ publications/pubs2003-5 .pdf 96 Y T. Carolyn Yang et al. activity if basic resources and assistance were ... Coaching (2002), http://www.partnersinschools.org/resources/TeacherLeadership_ and_PeerCoaching .pdf Dodge, B.: WebQuests: A Technique for Internet-Based Learning. Distance Educator 1, 10–13 (1995) ... could be freely downloaded from our website. Moreover, we offered the location, announcements and lecturers to assist in holding Peer Coaching activities if required 7.3 Empirical Studies We...
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Intro to Differential Geometry and General Relativity - S. Warner Episode 5 pdf
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