120
120
texts
eye 120
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comment 0
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/1095
109
109
texts
eye 109
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comment 0
In the early sixties Smales realized that many of the ideas of differential topology can be applied to aid in the study of PDEs and as part of this program he showed how to generalize Sard�s theorem to the in�nite dimensional case. First we need to introduce the correct kind of mappings of Banach manifolds.
Topics: Maths, Linear Algebra and Geometry, Geometry of Manifolds, Mathematics
Source: http://www.flooved.com/reader/2135
85
85
2007
2007
by
Daniel Kleitman;Peter Shor
texts
eye 85
favorite 0
comment 0
We now address the question: how do we find a code that uses the frequency information about k length patterns efficiently to shorten our message?
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/1872
186
186


by
Richard Fitzpatrick
texts
eye 186
favorite 0
comment 0
Topics: Physics, Electromagnetism and Electromagnetic Radiation, Classical Electromagnetism�,...
Source: http://www.flooved.com/reader/2721
182
182


by
Lawrence Evans;Mr. J. Edward Ladenburger
texts
eye 182
favorite 0
comment 0
Topics: Physics, Acoustics, Optics and Waves, Electromagnetism and Electromagnetic Radiation, Acoustics�,...
Source: http://www.flooved.com/reader/2901
90
90
texts
eye 90
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comment 0
This document consists of tables only
Topic: Maths
Source: http://www.flooved.com/reader/2953
162
162
2006
2006
by
Chiang C. Mei
texts
eye 162
favorite 0
comment 0
To describe a problem in mathematical terms, one must make use of the basic laws that govern the elements of the problem. In continuum mechanics, these are the conservation laws for mass and momentum. In addition, empirical constitutive laws are often needed to relate certain unknown variables; examples are equations of state, Hooke�s law between stress and strain, etc. To derive the conservation law one may consider an in�nitesimal element (a line segment, area or volume element), yielding...
Topics: Physics, Special Relativity, General Relativity and Gravitation, Gravitational Waves, Wave...
Source: http://www.flooved.com/reader/2042
162
162
texts
eye 162
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In this section we will study the threedimensional motion of a particle in a central force potential. Such a system obeys the equation of motion (4.1):..., where the potential depends only on r = x. Since both gravitational and electrostatic forces are of this form, solutions to this equation contain some of the most important results in classical physics.Our �rst line of attack in solving (4.1) is to use angular momentum.
Topics: Physics, Astronomy and Astrophysics�, Classical Mechanics, Solar System, Planetology, Classical...
Source: http://www.flooved.com/reader/2815
100
100
2004
2004
by
Richard Melrose
texts
eye 100
favorite 0
comment 0
Now say that X is a set, R is a ring of subsets and we have a function � : R _ [0, �). This is the �measure�, what we�re looking for. One of the properties we need for this function is additivity : �(A _ B) = �(A) + �(B), if A, B _ R, A _ B = _ From just this property we can derive a number of properties about �....
Topics: Maths, Differential Equations (ODEs & PDEs), Methods, Fourier Analysis, Mathematics
Source: http://www.flooved.com/reader/1498
166
166
2006
2006
by
Daniel H. Rothman
texts
eye 166
favorite 0
comment 0
To introduce dynamical systems, we begin with one of the simplest: a free oscillator. Speci�cally, we consider an unforced, undamped pendulum.
Topics: Maths, Dynamics and Relativity, Dynamical Systems, Mathematics
Source: http://www.flooved.com/reader/1842
125
125
Oct 1, 2005
10/05
by
Ben Simons
texts
eye 125
favorite 0
comment 0
In principle, we could now proceed with the Ansatz for __ and employ a variational analysis. However, instead, we will make use of this Ansatz to develop an approximation scheme to expand the second quantised BCS Hamiltonian. Indeed, such an approach will lead to the same phenomenology.
Topic: Maths
Source: http://www.flooved.com/reader/3062
92
92
May 4, 2004
05/04
by
Jeff Viaclovsky
texts
eye 92
favorite 0
comment 0
We started from a weak solution which need not be a function and using our theory we are able to show it behaves well and is in fact smooth! We will make this discussion precise in the sequel.
Topics: Maths, Analysis and Calculus, Differential Equations (ODEs & PDEs), Mathematics
Source: http://www.flooved.com/reader/995
185
185


by
Lawrence Evans;Mr. J. Edward Ladenburger
texts
eye 185
favorite 1
comment 0
Kepler�s laws Explanations of the motion of the celestial bodies � sun, moon, planets and stars � are among the oldest scienti�c theories. The apparent rotation of these bodies around the earth every day was attributed by the ancients to their place in "celestial spheres" which revolved daily around the stationary earth, assumed to be at the center of the universe.
Topics: Physics, Physics
Source: http://www.flooved.com/reader/2887
121
121
2009
2009
by
Kiran S. Kedlaya
texts
eye 121
favorite 0
comment 0
Topics: Maths, Linear Algebra and Geometry, Algebraic Geometry, Mathematics
Source: http://www.flooved.com/reader/2056
108
108
Sep 8, 2010
09/10
by
Albert R. Meyer
texts
eye 108
favorite 0
comment 0
Suppose that we �ip two fair coins simultaneously on opposite sides of a room. Intuitively, the way one coin lands does not affect the way the other coin lands. The mathematical concept that captures this intuition is called independence:
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/1749
83
83
2004
2004
by
Richard Stanley
texts
eye 83
favorite 0
comment 0
The main goal of this section is to give a formula in terms of _A(t) for r(A) and b(A) when K = R (Theorem 2.5). We �rst establish recurrences for these two quantities.
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/982
84
84
texts
eye 84
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comment 0
Topics: Maths, Analysis and Calculus, Differential Equations (ODEs & PDEs), Mathematics
Source: http://www.flooved.com/reader/1006
96
96
texts
eye 96
favorite 0
comment 0
Topic: Maths
Source: http://www.flooved.com/reader/1034
105
105


by
Arthur Mattuck;Haynes Miller;Jeremy Orloff;John Lewis
texts
eye 105
favorite 0
comment 0
Topics: Maths, Differential Equations (ODEs & PDEs), Mathematics
Source: http://www.flooved.com/reader/1402
109
109
2009
2009
by
Vera Mikyoung Hur
texts
eye 109
favorite 0
comment 0
We discuss the existence and uniqueness for secondorder linear differential equations with constant coef�cients by means of general principles which are valid for equations with variable coef�cients. We develop techniques of the Wronskian and apply to study the oscillatory behavior. We also give qualitative results which depend on conditions at an interior maximum and minimum and apply to secondorder equations.
Topics: Maths, Differential Equations (ODEs & PDEs), Mathematics
Source: http://www.flooved.com/reader/1561
104
104


by
John Lewis;Arthur Mattuck;Haynes Miller;Jeremy Orloff
texts
eye 104
favorite 0
comment 0
PoincareBendixson Theorem: Suppose R is the �nite region of the plane lying between two simple closed curves D1 and D2, and F is the velocity vector �eld for the system (1).
Topics: Maths, Differential Equations (ODEs & PDEs), Dynamics and Relativity, Dynamics and Relativity,...
Source: http://www.flooved.com/reader/1427
86
86
Sep 11, 2003
09/03
by
Jeff Viaclovsky
texts
eye 86
favorite 0
comment 0
Riemann integral. If s is simple and measurable then ... where ...
Topics: Maths, Analysis and Calculus, Analysis, Integration, Mathematics
Source: http://www.flooved.com/reader/1796
81
81
Apr 6, 2004
04/04
by
Michel X. Goemans
texts
eye 81
favorite 0
comment 0
The Matroid matching Problem: Given a matroid M = (S, I), let E be a set of pairs on S.
Topics: Maths, Optimization and Control, Optimization, Mathematics
Source: http://www.flooved.com/reader/1929
352
352
Sep 17, 2009
09/09
by
Louis Scharf
texts
eye 352
favorite 0
comment 0
This module is part of the collection, A First Course in Electrical and Computer Engineering. The LaTeX source files for this collection were created using an optical character recognition technology, and because of this process there may be more errors than usual.
Topics: Maths, Linear Algebra and Geometry, Algebra, Vectors and Matrices, Linear Algebra, Mathematics
Source: http://www.flooved.com/reader/1669
100
100
Apr 27, 2004
04/04
by
Michel X. Goemans
texts
eye 100
favorite 0
comment 0
We continue the discussion of how a 2kedgeconnected graph can be oriented so that the resulting digraph is karcconnected. Last time we have seen that this can be achieved using submodular �ows. Today we present a di_erent approach, which relates the problem to matroid intersection.
Topics: Maths, Optimization and Control, Optimization, Mathematics
Source: http://www.flooved.com/reader/1934
130
130
2008
2008
by
Abhinav Kumar
texts
eye 130
favorite 0
comment 0
Topics: Maths, Linear Algebra and Geometry, Algebraic Geometry, Mathematics
Source: http://www.flooved.com/reader/2196
68
68
texts
eye 68
favorite 0
comment 0
1. Pseudoholomorphic Curves ...
Topics: Maths, Linear Algebra and Geometry, Geometry, Mathematics
Source: http://www.flooved.com/reader/1980
133
133
2007
2007
by
Kiran S. Kedlaya
texts
eye 133
favorite 0
comment 0
In this unit, we describe a more intricate version of the sieve of Eratosthenes, introduced by Viggo Brun in order to study the Goldbach conjecture and the twin prime conjecture. It is most useful for providing lower bounds; for upper bounds, the Selberg sieve (to be introduced in the following unit) is much less painful.
Topics: Maths, Algebra, Number Theory, Mathematics
Source: http://www.flooved.com/reader/2079
385
385
Nov 10, 2008
11/08
by
Hans de Vries
texts
eye 385
favorite 0
comment 0
In this section we use a more elementary approach using the Klein Gordon equation. Each component of the Dirac/Weyl spinor obeys separately also the Klein Gordon equation. To show this �rst we start of with the Dirac equation.
Topic: Maths
Source: http://www.flooved.com/reader/2677
105
105
texts
eye 105
favorite 0
comment 0
1. Homeomorphism Classification of Simply Connected Compact 4Manifolds...
Topics: Maths, Linear Algebra and Geometry, Linear Algebra, Geometry, Geometry of Manifolds, Complex...
Source: http://www.flooved.com/reader/2119
76
76
texts
eye 76
favorite 0
comment 0
Let (M, _, J) be a compact K�hler manifold, .... Then we can �nd a line bundle L_M with �rst Chern class ...
Topics: Maths, Linear Algebra and Geometry, Geometry of Manifolds, Mathematics
Source: http://www.flooved.com/reader/2112
160
160
May 8, 2009
05/09
by
Tom Marsh
texts
eye 160
favorite 0
comment 0
These notes mostly show the essentials of the lectures, i.e. what I write on the board. The exception to the rule is when I write pieces of text like this (outside of the examples). These represent information that I may have said but not written during lectures. I use them when I think it would help you follow the notes. The notes are very terse, and brief to the point of grammatical inaccuracy.This is because they are notes and are not intended to replace books. I make them available in case...
Topic: Maths
Source: http://www.flooved.com/reader/2983
443
443
Jan 6, 2012
01/12
by
Prof. P.D. Magnus
texts
eye 443
favorite 2
comment 0
forall x is an open access introductory textbook in formal logic. It covers translation, proofs, and formal semantics for sentential and predicate logic.
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3495
111
111
2004
2004
by
Richard Melrose
texts
eye 111
favorite 0
comment 0
We will be discussing �compact operators� later, so we need some sort of idea of com_pactness. This is what the following theorem provides.
Topics: Maths, Topology and Metric Spaces, Differential Equations (ODEs & PDEs), Compact Spaces,...
Source: http://www.flooved.com/reader/1481
110
110
texts
eye 110
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comment 0
Until Weierstrass published his shocking paper in 1872, most of the mathematical world (including luminaries like Gauss) believed that a continuous function could only fail to be differentiable at some collection of isolated points. In fact, it turns out that �most� continuous functions are nondifferentiable at all points. (To understand what this statement could mean, you should take courses in topology and measure theory.) However, Weierstrass was not, in fact, the �rst to construct...
Topics: Maths, Analysis and Calculus, Mathematics
Source: http://www.flooved.com/reader/1197
270
270
2004
2004
by
Sigurdur Helgason
texts
eye 270
favorite 0
comment 0
Topics: Maths, Differential Equations (ODEs & PDEs), Methods, Fourier Analysis, Mathematics
Source: http://www.flooved.com/reader/1488
150
150
texts
eye 150
favorite 0
comment 0
In the previous class, we have introduced various concepts necessary for the study of EM waves in photonic crystal structures. We shall now use these concepts to explain various results such as: � Reconstruction of the permittivity pro�le. � The band diagrams for rectangular and triangular lattices. � ksurfaces for various eigenvalues. In particular, we will show an example of how a periodic structure can exhibit ksurfaces typicalof a negative refraction material (the concept of...
Topics: Physics, Acoustics, Optics and Waves, Electromagnetism and Electromagnetic Radiation, Waves,...
Source: http://www.flooved.com/reader/2572
110
110


by
Daniel Kleitman;Peter Shor
texts
eye 110
favorite 0
comment 0
One of the most important aspects of linear programming is the duality theorem. Let�s consider a linear program in the standard form we talked about last time.
Topics: Maths, Optimization and Control, Optimization, Linear Programming, Slack Variables, Primal Simplex...
Source: http://www.flooved.com/reader/1877
219
219
texts
eye 219
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comment 0
The aim of this section is to introduce the language and machinery of classical and quantum �eld theory through its application to the problem of lattice vibrations in a solid. In doing so, we will become acquainted with the notion of symmetry breaking, universality, elementary excitations and collective modes � concepts which will pervade much of thecourse.
Topics: Physics, Condensed Matter, Particle Physics and Fields, Quantum Physics, General Theory of Fields...
Source: http://www.flooved.com/reader/3048
138
138
2004
2004
by
Richard Melrose
texts
eye 138
favorite 0
comment 0
Topics: Maths, Differential Equations (ODEs & PDEs), Methods, Fourier Analysis, Mathematics
Source: http://www.flooved.com/reader/1491
136
136
texts
eye 136
favorite 0
comment 0
we show that the spherical representation z _ Z is conformal. This means that if l and m are two lines in the plane intersecting in z at an angle _, then the corresponding circles C and D through N and Z intersect Z at the same angle _
Topics: Maths, Analysis and Calculus, Complex Analysis, Mathematics
Source: http://www.flooved.com/reader/1504
79
79
May 11, 2004
05/04
by
Alantha Newman
texts
eye 79
favorite 0
comment 0
1 Multi�ows and Disjoint Paths  Let G = (V,E) be a graph and let...
Topics: Maths, Optimization and Control, Optimization, Mathematics
Source: http://www.flooved.com/reader/1936
117
117
2006
2006
by
Chiang C. Mei
texts
eye 117
favorite 0
comment 0
In this chapter we shall treat two types of extended inhomogeneities: (i) periodic and (ii) random.
Topics: Physics, Special Relativity, General Relativity and Gravitation, Gravitational Waves, Wave...
Source: http://www.flooved.com/reader/2046
109
109
texts
eye 109
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comment 0
With the foregoing preparation, we are now in a position to apply the classical analogy orcanonical quantization program to achieve the second quantization of theelectromagnetic field. As our starting point and for reference, we, once again, set forth the vacuum or microscopic Maxwell's equations in the time domain...
Topics: Physics, Acoustics, Optics and Waves, Quantum Physics, Optics�, Quantum Optics�, Physics
Source: http://www.flooved.com/reader/2990
126
126
texts
eye 126
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comment 0
This appendix builds on the formulation presented in Review of Basic Quantum Mechanics: Dynamic Behavior of Quantum Systems, Section II of the lecture notes entitled The Interaction of Radiation and Matter: Semiclassical Theory (hereafterreferred to as IRM:ST) to obtain explicit and reasonably general expressions forradiative transition rates.
Topics: Physics, Acoustics, Optics and Waves, Electromagnetism and Electromagnetic Radiation, Quantum...
Source: http://www.flooved.com/reader/2988
436
436


by
Frederique Oggier;Alfred Bruckstein
texts
eye 436
favorite 0
comment 0
These notes were designed to �t the syllabus of the course �Groups and Symmetries�, taught at Nanyang Technological University in autumn 2012, and 2013.
Topic: Maths
Source: http://www.flooved.com/reader/3394
469
469
Mar 1, 2009
03/09
by
Prof. Peter J. Cameron
texts
eye 469
favorite 1
comment 0
The original course was largely based on continued fractions: this technique is very amenable to hand calculation, and can be used to solve Pell�s equation, to write an integer as a sum of squares where this is possible, and to classify the inde�nite binary quadratic forms. This is still the centrepiece of the course, but I have given alternate treatment of sums of squares.
Topic: Mathematics
Source: http://www.flooved.com/reader/3516
152
152


by
Arthur Mattuck;Haynes Miller;Jeremy Orloff;John Lewis
texts
eye 152
favorite 0
comment 0
This is meant as a followup on the review of vectors and matrices in the previous session.
Topics: Maths, Linear Algebra and Geometry, Vectors and Matrices, Linear Algebra, Linear Independence,...
Source: http://www.flooved.com/reader/1458
81
81
2007
2007
by
Kiran S. Kedlaya
texts
eye 81
favorite 0
comment 0
In this unit, we introduce (without proof for now) a formula which relates the distribution of primes to the zeroes of the Riemann zeta function. Given a suitable zerofree region for _(s) in the critical strip, this can be used to prove the prime number theorem with an estimate for the error term.
Topics: Maths, Algebra, Number Theory, Mathematics
Source: http://www.flooved.com/reader/2083
131
131
2009
2009
by
Kiran S. Kedlaya
texts
eye 131
favorite 0
comment 0
Hartshorne only treats �atness after cohomology (so see III.9) and doesn�t talk about descent at all. The EGA reference for �atness is EGA IV, part 2, �2. I�m not sure if descent is discussed at all in EGA, so I gave references to SGA 1 instead.
Topics: Maths, Linear Algebra and Geometry, Algebraic Geometry, Mathematics
Source: http://www.flooved.com/reader/2060
106
106
Mar 16, 2004
03/04
by
Michel X. Goemans
texts
eye 106
favorite 0
comment 0
Let M1 = (S, I1), M2 = (S, I2) be two matroids on common ground set S with rank functions r1 and r2. Many combinatorial optimization problems can be reformulated as the problem of �nding the maximum size common independent set ..
Topics: Maths, Optimization and Control, Optimization, Mathematics
Source: http://www.flooved.com/reader/1924
202
202
texts
eye 202
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comment 0
A cycle in a digraph is de�ned by a path that begins and ends at the same vertex. This includes the cycle of length zero that begins and ends at the vertex. A directed acyclic graph (DAG) is a directed graph with no positive length cycles.
Topics: Maths, Logic, Numbers and Set Theory, Graph Theory, Posets and Zorn�s Lemma, Set Theory,...
Source: http://www.flooved.com/reader/1725
102
102
2008
2008
by
Abhinav Kumar
texts
eye 102
favorite 0
comment 0
Topics: Maths, Linear Algebra and Geometry, Algebraic Geometry, Mathematics
Source: http://www.flooved.com/reader/2207
126
126
Mar 11, 2003
03/03
by
Richard M. Dudley
texts
eye 126
favorite 0
comment 0
Topics: Maths, Statistics and Probability, Statistics, Mathematics
Source: http://www.flooved.com/reader/2161
384
384
texts
eye 384
favorite 0
comment 0
In�nite series are among the most powerful and useful tools that you�ve encountered in your introductory calculus course. It�s easy to get the impression that they are simply a clever exercise in manipulating limits and in studying convergence, but they are among the majors tools used in analyzing di_erential equations, in developing methods of numerical analysis, in de�ning new functions, in estimating the behavior of functions, and more.
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/2929
91
91
May 8, 2003
05/03
by
Richard M. Dudley
texts
eye 91
favorite 0
comment 0
Topics: Maths, Statistics and Probability, Statistics, Mathematics
Source: http://www.flooved.com/reader/2155
83
83
Mar 20, 2003
03/03
by
Richard M. Dudley
texts
eye 83
favorite 0
comment 0
Topics: Maths, Statistics and Probability, Statistics, Estimation Techniques, Maximum Likelihood...
Source: http://www.flooved.com/reader/2170
253
253


by
Mr. Travis Byington;Lawrence Evans;Mr. Ryan Magee;Hao Zhang
texts
eye 253
favorite 1
comment 0
Superposition of Harmonic Waves The essential characteristic of energy transport by waves is that waves obey the superposition principle. This means that two waves in the same spatial region can interfere, rearranging the energy in space in a pattern often quite different from that of either wave alone. Since light propagates as a wave, we will analyze this phenomenon.We begin with a mathematical problem: How do we �nd the wave function for the combined wave resulting from interference of...
Topics: Physics, Acoustics, Optics and Waves, Optics�, Waves, Wave Optics, Interference and Coherence,...
Source: http://www.flooved.com/reader/2918
195
195
Oct 17, 2006
10/06
by
Max Tegmark
texts
eye 195
favorite 0
comment 0
Topics: Lorentz transformations toolbox � � formula summary � inverse � composition (v addition) � boosts as rotations � the invariant � wave 4vector � velocity 4vector � aberration � Doppler e_ect � proper time under acceleration � calculus of variations � metrics, geodesics Implications� � Time dilation � Relativity of simultaneity, nonsyncronization � Length contraction � c as universal speed limit � Rest length, proper time
Topic: Maths
Source: http://www.flooved.com/reader/3110
125
125
Oct 1, 2005
10/05
by
Ben Simons
texts
eye 125
favorite 0
comment 0
The aim of this lecture is to explore the nature of the ground state and the character of the elementary excitation spectrum in the condensed phase.
Topics: Physics, Condensed Matter, Particle Physics and Fields, Quantum Physics, General Theory of Fields...
Source: http://www.flooved.com/reader/3069
234
234
Nov 3, 2005
11/05
by
Max Tegmark
texts
eye 234
favorite 0
comment 0
Topic: Maths
Source: http://www.flooved.com/reader/3106
316
316
Oct 22, 2006
10/06
by
Max Tegmark
texts
eye 316
favorite 0
comment 0
Topics: Important particles � Nuclear physics terminology � Rest mass & binding energy � Photons � Particle physics processes � Examples: photon emission & absorbtion � Example: Compton scattering
Topics: Physics, Nuclear, Atomic and Molecular Physics, Particle Physics and Fields, Nuclear Physics,...
Source: http://www.flooved.com/reader/3108
124
124
May 2, 2000
05/00
by
R. Victor Jones
texts
eye 124
favorite 0
comment 0
As we have seen, the Fock or number states....are complete set eigenstates of an important group of commuting observables...
Topics: Physics, Acoustics, Optics and Waves, Quantum Physics, Optics�, Quantum Optics�, Physics
Source: http://www.flooved.com/reader/3005
216
216
texts
eye 216
favorite 0
comment 0
Objectives: � To introduce the stress�energy tensor � Conservation laws in relativity
Topics: Physics, Special Relativity, General Relativity and Gravitation, Classical General Relativity,...
Source: http://www.flooved.com/reader/3154
531
531
texts
eye 531
favorite 4
comment 0
Topic: Maths
Source: http://www.flooved.com/reader/3378
570
570
2012
2012
by
Peter Ouwehand
texts
eye 570
favorite 1
comment 0
Topic: Maths
Source: http://www.flooved.com/reader/3386
116
116
texts
eye 116
favorite 0
comment 0
Topics: Maths, Analysis and Calculus, Complex Analysis, Mathematics
Source: http://www.flooved.com/reader/1513
172
172
texts
eye 172
favorite 0
comment 0
Arithmetic functions, the Mobius�function
Topics: Maths, Algebra, Number Theory, Mathematics
Source: http://www.flooved.com/reader/1119
289
289
texts
eye 289
favorite 1
comment 0
Topics: Maths, Logic, Numbers and Set Theory, Analysis and Calculus, Countability and Uncountability,...
Source: http://www.flooved.com/reader/1273
178
178


by
Arthur Mattuck;Haynes Miller;Jeremy Orloff;John Lewis
texts
eye 178
favorite 0
comment 0
The fundamental matrix _(t) also provides a very compact and ef�cient integral formula for a particular solution to the inhomogeneous equation x' = A(t)x + F(t). (presupposing of course that one can solve the homogeneous equation x' = A(t)x �rst to get _.) In this short note we give the formula (with proof!) and one example.
Topics: Maths, Differential Equations (ODEs & PDEs), Ordinary Differential Equations (ODEs), Linear...
Source: http://www.flooved.com/reader/1400
248
248
texts
eye 248
favorite 0
comment 0
1. K�hler Geometry
Topics: Maths, Linear Algebra and Geometry, Geometry of Manifolds, Mathematics
Source: http://www.flooved.com/reader/2108
222
222


by
Richard Fitzpatrick
texts
eye 222
favorite 0
comment 0
Topics: Physics, Electromagnetism and Electromagnetic Radiation, Classical Electromagnetism, Physics
Source: http://www.flooved.com/reader/2719
112
112
Apr 21, 2013
04/13
by
R. Mainieri;Predrag Cvitanovi�c;E.A. Spiegel
texts
eye 112
favorite 0
comment 0
We define a dynamical system (M, f) and classify its solutions as equilibria, periodic, and aperiodic. An �aperiodic� solution is either �wandering� or belongs to a non�wandering set, which in turn can be decomposed into chainrecurrent sets. Various cases are illustrated with concrete examples, such as the Rossler and Lorenz systems.
Topics: Physics, Quantum Physics, Quantum Mechanics, Physics
Source: http://www.flooved.com/reader/2738
137
137
Apr 23, 2009
04/09
by
Richard Melrose
texts
eye 137
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Topics: Maths, Linear Algebra and Geometry, Differential Equations (ODEs & PDEs), Vectors and Matrices,...
Source: http://www.flooved.com/reader/1580
216
216
2003
2003
by
Fredrik Jonsson
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In this lecture, we will focus on examples of electromagnetic wave propagation in nonlinear optical media, by applying the forms of Maxwell�s equations as obtained in the eighth lecture to a set of particular nonlinear interactions as described by the previously formulated nonlinear susceptibility formalism. The outline for this lecture is:� What are solitons?� Basics of soliton theory� Spatial and temporal solitons� The mathematical equivalence between spatial and temporal...
Topics: Physics, Acoustics, Optics and Waves, Electromagnetism and Electromagnetic Radiation, Optics�,...
Source: http://www.flooved.com/reader/2972