leonard susskind general relativity lecture notes pdf
Lecture notes on general relativity s carroll
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... 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...
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norbury. general relativity and cosmology for undergraduates (wisconsin lecture notes, 1997)(116s)
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... 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
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... 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 Lecture Notes in Geoinformation and Cartography pdf
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... 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
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... 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
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... 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
Ngày tải lên :
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... 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)
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... 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
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... 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
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... 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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