126
126

Nov 14, 2013
11/13

Nov 14, 2013
by
Daniel Kleitman;Peter Shor

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We suppose we want to be able to send messages that can be conveniently decoded even in the presence of errors.

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/1889

175
175

Nov 14, 2013
11/13

Nov 14, 2013
by
Arthur Mattuck;Haynes Miller;Jeremy Orloff;John Lewis

texts

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eye 175

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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

109
109

Nov 14, 2013
11/13

Nov 14, 2013
by
Oleg Goldberg

texts

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eye 109

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comment 0

Topics: Maths, Differential Equations (ODEs & PDEs), Mathematics

Source: http://www.flooved.com/reader/1533

149
149

Nov 14, 2013
11/13

Nov 14, 2013
by
Daniel Kleitman;Peter Shor

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We will discuss one of the classes of problems that have been suggested and deployed for communications of this public key type. It was actually developed here at M.I.T., a number of years ago. The hard problem that is more or less equivalent to breaking this code is that of factoring a rather large number. (There are variants of the coding scheme in which the inversion problem is exactly equivalent to factoring such a number.)

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/1854

666
666

Nov 14, 2013
11/13

Nov 14, 2013
by
James S. Milne

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eye 666

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These notes give a concise exposition of the theory of �elds, including the Galois theory of �nite and in�nite extensions and the theory of transcendental extensions. The �rst six sections form a standard course. Chapters 7 and 8 are more advanced, and are required for algebraic number theory and algebraic geometry repspectively.

Topic: Maths

Source: http://www.flooved.com/reader/3415

331
331

Nov 14, 2013
11/13

Nov 14, 2013
by
Albert R. Meyer

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The theorem below relates the greatest common divisor to linear combinations. This theorem is very useful; take the time to understand it and then remember it!

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/1711

81
81

Nov 14, 2013
11/13

Nov 14, 2013
by
Tomasz S. Mrowka

texts

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eye 81

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Topics: Maths, Linear Algebra and Geometry, Geometry of Manifolds, Mathematics

Source: http://www.flooved.com/reader/2130

4,649
4.6K

Nov 14, 2013
11/13

Nov 14, 2013
by
Trench, William F., 1931-

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Elementary Differential Equations with Boundary Value Problems is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation. In writing this book I have been guided by the these principles: 1. An elementary text should be written so the student can read it with comprehension without too much pain. I have tried to put myself in the student�s place, and have chosen to err on the side of too much detail rather than not enough. 2. An...

Topics: Maths, Differential Equations (ODEs & PDEs)|, Ordinary Differential Equations (ODEs), Linear...

Source: http://www.flooved.com/reader/3456

160
160

Nov 14, 2013
11/13

Nov 14, 2013
by
Igor Vilfan

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In this Chapter we will discuss models that can be described by classical statistical mechanics. We will concentrate on the classical spin models which are used notonly to study magnetism but are valid also for other systems like binary alloys or lattice gases.

Topic: Maths

Source: http://www.flooved.com/reader/2955

137
137

Nov 14, 2013
11/13

Nov 14, 2013
by
Richard Melrose

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eye 137

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Topics: Maths, Differential Equations (ODEs & PDEs), Methods, Fourier Analysis, Mathematics

Source: http://www.flooved.com/reader/1491

263
263

Nov 14, 2013
11/13

Nov 14, 2013
by
Rory Adams;Heather Williams;Wendy Williams

texts

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eye 263

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In Grade 11 you were introduced to linear programming and solved problems by looking at points on the edges of the feasible region. In Grade 12 you will look at how to solve linear programming problems in a more general manner.

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/1681

119
119

Nov 14, 2013
11/13

Nov 14, 2013
by
Emma Carberry

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eye 119

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Topics: Maths, Linear Algebra and Geometry, Analysis and Calculus, Geometry, Differential Geometry,...

Source: http://www.flooved.com/reader/1106

94
94

Nov 14, 2013
11/13

Nov 14, 2013
by
Vera Mikyoung Hur

texts

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eye 94

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The simpler the input signal is, the clearer we should expect the signature of the system pa_rameters to be, and the easier we predict how the system will respond to other more complicated signals. The simplest is the null signal, which corresponds to the homogeneous equation. We study two other standard and very simple signals: the unit step function and the unit impulse. Here, we study step signals. Impulsive signals will be discussed in later lectures.

Topics: Maths, Differential Equations (ODEs & PDEs), Mathematics

Source: http://www.flooved.com/reader/1543

217
217

Nov 14, 2013
11/13

Nov 14, 2013
by
Ben Simons

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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

89
89

Nov 14, 2013
11/13

Nov 14, 2013
by
Vera Mikyoung Hur

texts

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eye 89

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favorite 0

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comment 0

Topics: Maths, Differential Equations (ODEs & PDEs), Methods, Mathematics

Source: http://www.flooved.com/reader/1546

105
105

Nov 14, 2013
11/13

Nov 14, 2013
by
Michel X. Goemans

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eye 105

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In this lecture, we will introduce three related topics: graph orientations, directed cuts, and submodular �ows. In fact, we will use submodular �ows to prove results from the other topics.

Topics: Maths, Optimization and Control, Optimization, Mathematics

Source: http://www.flooved.com/reader/1931

408
408

Nov 14, 2013
11/13

Nov 14, 2013
by
James Nearing

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You could say that some of the equations that you encounter in describing physical systems can�t be solved in terms of familiar functions and that they require numerical calculations to solve. It would be misleading to say this however, because the reality is quite the opposite. Most of the equations that describe the real world are su_ciently complex that your only hope of solving them is to use numericalmethods. The simple equations that you �nd in introductory texts are there because...

Topics: Maths, Numerical Analysis, Mathematics

Source: http://www.flooved.com/reader/2985

95
95

Nov 14, 2013
11/13

Nov 14, 2013
by
Denis Auroux

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0.1. Lagrangian Floer Homology (contd). Let (M, _) be a symplectic man_ifold, L0, L1 compact Lagrangian submanifolds intersecting transversely.

Topics: Maths, Linear Algebra and Geometry, Geometry, Mathematics

Source: http://www.flooved.com/reader/1964

183
183

Nov 14, 2013
11/13

Nov 14, 2013
by
Richard Melrose

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Fourier series. Let us now try applying our knowledge of Hilbert space to a concrete Hilbert space such as L^2(a, b) for a �nite interval (a, b) _ R. You showed that this is indeed a Hilbert space. One of the reasons for developing Hilbert space techniques originally was precisely the following result.

Topics: Maths, Differential Equations (ODEs & PDEs), Partial Differential Equations (PDEs), Functional...

Source: http://www.flooved.com/reader/1574

102
102

Nov 14, 2013
11/13

Nov 14, 2013
by
Jeff Viaclovsky

texts

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eye 102

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favorite 0

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comment 0

Topics: Maths, Analysis and Calculus, Differential Equations (ODEs & PDEs), Mathematics

Source: http://www.flooved.com/reader/990

120
120

Nov 14, 2013
11/13

Nov 14, 2013
by
R. Victor Jones

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eye 120

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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

89
89

Nov 14, 2013
11/13

Nov 14, 2013
by
Jonathan Kelner

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eye 89

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In today�s lecture we are going to: � Discuss nonblocking routing networks � Start the description of a method for local and almost linear-time clustering and partitioning based on the Lovasz-Simonovits Theorem.

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/2029

282
282

Nov 14, 2013
11/13

Nov 14, 2013
by
Katrin Wehrheim

texts

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eye 282

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Topics: Maths, Logic, Numbers and Set Theory, Analysis and Calculus, Countability and Uncountability,...

Source: http://www.flooved.com/reader/1273

101
101

Nov 14, 2013
11/13

Nov 14, 2013
by
Tomasz S. Mrowka

texts

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eye 101

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Inverse, and implicit function theorems. Among the basic tools of the trade are the inverse and implicit function theorems. We will �rst state them in a coordinate dependent fashion. When we develop some of the basic terminology we will have available a coordinate free version.

Topics: Maths, Linear Algebra and Geometry, Geometry of Manifolds, Mathematics

Source: http://www.flooved.com/reader/2148

125
125

Nov 14, 2013
11/13

Nov 14, 2013
by
Denis Auroux

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1. Hodge Theory - Theorem 1 (Hodge)....

Topics: Maths, Linear Algebra and Geometry, Analysis and Calculus, Differential Equations (ODEs &...

Source: http://www.flooved.com/reader/2109

119
119

Nov 14, 2013
11/13

Nov 14, 2013
by
Kiran S. Kedlaya

texts

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eye 119

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In this unit, we consider a relatively simple example of a large sieve inequality, of the sort introduced by Linnik. This is a setup for the multiplicative large sieve inequality we will need for Bombieri-Vinogradov.

Topics: Maths, Algebra, Number Theory, Mathematics

Source: http://www.flooved.com/reader/2084

300
300

Nov 14, 2013
11/13

Nov 14, 2013
by
Mr. Travis Byington;Lawrence Evans;Mr. Ryan Magee;Hao Zhang

texts

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eye 300

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Calculating E from Gauss�s law- In a few cases the charge distribution has suf�cient geometric symmetry that one can use Gauss's law to calculate the E-�eld. The trick is to...

Topics: Physics, Electromagnetism and Electromagnetic Radiation, Classical Electromagnetism�,...

Source: http://www.flooved.com/reader/2908

142
142

Nov 14, 2013
11/13

Nov 14, 2013
by
Jared Speck

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We now discuss a technique, known as separation of variables, that can be used to explicitly solve certain PDEs. It is especially useful in the study of linear PDEs. Although this technique is applicable to some important PDEs, it is unfortunately far from universally applicable.

Topics: Maths, Differential Equations (ODEs & PDEs), Partial Differential Equations (PDEs), Mathematics

Source: http://www.flooved.com/reader/1608

196
196

Nov 14, 2013
11/13

Nov 14, 2013
by
Jin Au Kong

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eye 196

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In the previous lecture, we wrote the EFIE for an incident TE plane wave on a PEC surface.The solution was then obtained by some types of �intuitive� arguments, such as dividing the integration domain into small elements and supposing that the unknown does not vary too much over each elementary cell. We shall now see more rigorously what we actually did, and show that it was in fact a simple version of the Method of Moments.

Topics: Physics, Electromagnetism and Electromagnetic Radiation, Nuclear, Atomic and Molecular Physics,...

Source: http://www.flooved.com/reader/2573

1,211
1.2K

Nov 14, 2013
11/13

Nov 14, 2013
by
Edward A. Bender;S. Gill Williamson

texts

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eye 1,211

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favorite 0

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comment 0

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/3532

125
125

Nov 14, 2013
11/13

Nov 14, 2013
by
Daniel H. Rothman

texts

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We now study the �routes� or �scenarios� towards chaos.

Topics: Maths, Dynamics and Relativity, Dynamical Systems, Bifurcations in Flows and Maps, Chaos, The...

Source: http://www.flooved.com/reader/1843

107
107

Nov 14, 2013
11/13

Nov 14, 2013
by
Jeff Viaclovsky

texts

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eye 107

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Fundamental theorem of calculus. Let f : [a, b] R be continuous and let ... Then F is di_erentiable and F'(x) = f(x).

Topics: Maths, Analysis and Calculus, Analysis, Integration, Fundamental Theorem of Calculus, Mathematics

Source: http://www.flooved.com/reader/1793

132
132

Nov 14, 2013
11/13

Nov 14, 2013
by
Richard Melrose

texts

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eye 132

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Poisson Summation: This is really a correlation between fourier transforms and fourier series

Topics: Maths, Differential Equations (ODEs & PDEs), Methods, Fourier Analysis, Mathematics

Source: http://www.flooved.com/reader/1499

123
123

Nov 14, 2013
11/13

Nov 14, 2013
by
Alan Guth;Barton Zwiebach

texts

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eye 123

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favorite 0

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comment 0

Topic: Maths

Source: http://www.flooved.com/reader/3175

124
124

Nov 14, 2013
11/13

Nov 14, 2013
by
Dmitry Panchenko

texts

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eye 124

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Given the joint distribution of (X, Y), the individual distributions of X, Y are marginal distributions.

Topics: Maths, Statistics and Probability, Mathematics

Source: http://www.flooved.com/reader/1636

100
100

Nov 14, 2013
11/13

Nov 14, 2013
by
Richard M. Dudley

texts

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eye 100

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favorite 0

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Topics: Maths, Statistics and Probability, Statistics, Mathematics

Source: http://www.flooved.com/reader/2167

1,305
1.3K

Nov 14, 2013
11/13

Nov 14, 2013
by
Peter M. Neumann

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These notes are intended as a rough guide to the eight-lecture course Introduction to Pure Mathematics which is a part of the Oxford 1st-year undergraduate course for the Preliminary Examination in Mathematics. Please do not expect a polished account. They are my personal lecture notes, not a carefully checked textbook. Nevertheless, I hope they may be of some help.

Topic: Maths

Source: http://www.flooved.com/reader/1056

118
118

Nov 14, 2013
11/13

Nov 14, 2013
by
Dmitry Panchenko

texts

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Topics: Maths, Statistics and Probability, Stochastic Analysis, Probability, Stochastic Processes, Brownian...

Source: http://www.flooved.com/reader/1026

171
171

Nov 14, 2013
11/13

Nov 14, 2013
by
Laurent Demanet

texts

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Fourier�s analysis was tremendously successful in the 19th century for formulating series expansions for solutions of some very simple ODE and PDE. This class shows that in the 20th century, Fourier analysis has established itself as a central tool for numerical computations as well, for vastly more general ODE and PDE when explicit formulas are not available

Topics: Maths, Numerical Analysis, Mathematics

Source: http://www.flooved.com/reader/1597

1,234
1.2K

Nov 14, 2013
11/13

Nov 14, 2013
by
Prof. Carl Stitz;Prof. Jeff Zeager

texts

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eye 1,234

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comment 0

Topics: Algebra, Mathematics

Source: http://www.flooved.com/reader/3475

97
97

Nov 14, 2013
11/13

Nov 14, 2013
by
Daniel Kleitman;Peter Shor

texts

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eye 97

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To do a 2^k FFT mod a prime p you need to choose a prime p whose remainders include 2^k-th roots of unity, and you need to find one such root that is not a 2^(k-1)-th root of unity

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/1888

113
113

Nov 14, 2013
11/13

Nov 14, 2013
by
Kiran S. Kedlaya

texts

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eye 113

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Topics: Maths, Linear Algebra and Geometry, Algebraic Geometry, Mathematics

Source: http://www.flooved.com/reader/2074

226
226

Nov 14, 2013
11/13

Nov 14, 2013
by
Peter Ouwehand

texts

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eye 226

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comment 0

Topic: Maths

Source: http://www.flooved.com/reader/3372

186
186

Nov 14, 2013
11/13

Nov 14, 2013
by
Igor Vilfan

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Some typical results of MC simulations of a d = 2 Ising ferromagnet are shownin Fig. 4.9. At high T (T = 2TC), there is only short-range order, the spins form small clusters. The correlation length (approximately equal to the linear size of the largest cluster) is small. Close (but above) TC, somewhat larger patches in which most of the spins are lined up in the same direction begin to develop. ...

Topic: Maths

Source: http://www.flooved.com/reader/2958

79
79

Nov 14, 2013
11/13

Nov 14, 2013
by
Jacob Lurie

texts

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eye 79

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Topics: Maths, Algebra, Topology and Metric Spaces, Mathematics

Source: http://www.flooved.com/reader/2225

182
182

Nov 14, 2013
11/13

Nov 14, 2013
by
Lawrence Evans;Mr. J. Edward Ladenburger

texts

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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

141
141

Nov 14, 2013
11/13

Nov 14, 2013
by
Markus Zahn

texts

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eye 141

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Topics: Physics, Condensed Matter, Electromagnetism and Electromagnetic Radiation, Structural, Mechanical,...

Source: http://www.flooved.com/reader/2847

161
161

Nov 14, 2013
11/13

Nov 14, 2013
by
Pekka Pyykk�

texts

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eye 161

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The energy-expression: Subtracting the rest energy mc2 from E, the one-electron Dirac Hamiltonian...and the Dirac-Fock Hamiltonian...,The total wave function is the Slater determinant. ...

Topics: Physics, Quantum Physics, Physics

Source: http://www.flooved.com/reader/2936

83
83

Nov 14, 2013
11/13

Nov 14, 2013
by
J. Bernstein;A. Rita

texts

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eye 83

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favorite 0

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comment 0

Topics: Maths, Linear Algebra and Geometry, Geometry, Mathematics

Source: http://www.flooved.com/reader/1951

116
116

Nov 14, 2013
11/13

Nov 14, 2013
by
John Lewis;Arthur Mattuck;Haynes Miller;Jeremy Orloff

texts

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eye 116

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favorite 0

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comment 0

Topics: Maths, Differential Equations (ODEs & PDEs), Mathematics

Source: http://www.flooved.com/reader/1249

129
129

Nov 14, 2013
11/13

Nov 14, 2013
by
Rodolfo R. Rosales

texts

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eye 129

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Contents 1. Physical setup, assumptions, and notation. 2. Derivation of the governing equations. 3. Linearized governing equations.

Topics: Maths, Differential Equations (ODEs & PDEs), Partial Differential Equations (PDEs), Mathematics

Source: http://www.flooved.com/reader/1177

80
80

Nov 14, 2013
11/13

Nov 14, 2013
by
Tomasz S. Mrowka

texts

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eye 80

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comment 0

Topics: Maths, Linear Algebra and Geometry, Geometry of Manifolds, Mathematics

Source: http://www.flooved.com/reader/2141

84
84

Nov 14, 2013
11/13

Nov 14, 2013
by
Jeff Viaclovsky

texts

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eye 84

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favorite 0

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comment 0

Topics: Maths, Analysis and Calculus, Differential Equations (ODEs & PDEs), Mathematics

Source: http://www.flooved.com/reader/992

141
141

Nov 14, 2013
11/13

Nov 14, 2013
by
John Lewis;Arthur Mattuck;Haynes Miller;Jeremy Orloff

texts

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eye 141

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In this note we will only consider linear systems of the form x = Ax. Such a system always has a critical point at the origin.

Topics: Maths, Differential Equations (ODEs & PDEs), Mathematics

Source: http://www.flooved.com/reader/1432

118
118

Nov 14, 2013
11/13

Nov 14, 2013
by
Kiran S. Kedlaya

texts

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eye 118

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In this unit, we convert the additive large sieve inequality from the previous unit, which concerned characters of the additive group, into a result about Dirichlet characters.

Topics: Maths, Algebra, Number Theory, Mathematics

Source: http://www.flooved.com/reader/2094

115
115

Nov 14, 2013
11/13

Nov 14, 2013
by
Gregg Musiker

texts

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De�nition: If a vertex v has at least as many chips on it as its degree, i.e. C(v) � deg(v), we say that v is ready to �re. A vertex v that is ready to �re may send chips to its neighbors by sending one chip along each of its incident edges. Given graph G, we say that a chip con�guration C is stable if no vertex is ready to �re, i.e. if C(v) < deg(v) for all vertices v _ V (G).

Topics: Maths, Algebra, Statistics and Probability, Probability, Combinatorics, Mathematics

Source: http://www.flooved.com/reader/1261

100
100

Nov 14, 2013
11/13

Nov 14, 2013
by
John Lewis;Arthur Mattuck;Haynes Miller;Jeremy Orloff

texts

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eye 100

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In summary, the procedure of sketching trajectories of the 2 _ 2 linear homogeneous system x_ = Ax, where A is a constant matrix

Topics: Maths, Differential Equations (ODEs & PDEs), Mathematics

Source: http://www.flooved.com/reader/1439

121
121

Nov 14, 2013
11/13

Nov 14, 2013
by
Hung Cheng

texts

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eye 121

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In this chapter, we shall discuss the method of separation of variables and demonstrate this method with several PDEs examples.

Topic: Maths

Source: http://www.flooved.com/reader/1149

143
143

Nov 14, 2013
11/13

Nov 14, 2013
by
Abhinav Kumar

texts

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eye 143

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Topics: Maths, Algebra, Number Theory, Mathematics

Source: http://www.flooved.com/reader/1122

116
116

Nov 14, 2013
11/13

Nov 14, 2013
by
Roland Speicher

texts

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eye 116

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I will present the basic de�nitions and properties of non-crossing partitions and free cumulants and outline its relations with freeness and random matrices. As examples, I will consider the problems of calculating the eigenvalue distribution of the sum of randomly rotated matrices and of the compression (upper left corner) of a randomly rotated matrix.

Topics: Maths, Linear Algebra and Geometry, Vectors and Matrices, Matrices, Mathematics

Source: http://www.flooved.com/reader/976

184
184

Nov 14, 2013
11/13

Nov 14, 2013
by
Hung Cheng

texts

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eye 184

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In this chapter we give a short discussion of complex numbers and the theory of a function of a complex variable.

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/1143

1,620
1.6K

Nov 14, 2013
11/13

Nov 14, 2013
by
R. E. Showalter

texts

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eye 1,620

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Chapter I presents all the elementary Hilbert space theory that is needed for the book. Chapter II is an introduction to distributions and Sobolev spaces. Chapter III is an exposition of the theory of linear elliptic boundary value problems in variational form. (The meaning of \variational form" is explained in Chapter VII.). Chapter IV is an exposition of the generation theory of linear semigroups of contractions and its applications to solve initial-boundary value problems for partial...

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/3536

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164

Nov 14, 2013
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Nov 14, 2013
by
Abhinav Kumar

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Factorization If n is composite, how do we factor in poly(log n) time. The obvious way is to divide by all, which is O(�n)

Topics: Maths, Logic, Numbers and Set Theory, Algebra, Elementary Number Theory, Coding and Cryptography,...

Source: http://www.flooved.com/reader/1137

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389

Nov 14, 2013
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Nov 14, 2013
by
James Nearing

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When the idea of negative numbers was broached a couple of thousand years ago, they were considered suspect, in some sense not �real.� Later, when probably one of the students of Pythagoras discovered that numbers such as �2 are irrational and cannot be written as a quotient of integers, legends have it that the discoverer su_ered dire consequences. Now both negatives and irrationals are taken forgranted as ordinary numbers of no special consequence. Why should �_1 be any di_erent? Yet...

Topics: Physics, Mathematical Methods in Physics, Logic, Set Theory, and Algebra, Rings and Algebras,...

Source: http://www.flooved.com/reader/2805

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85

Nov 14, 2013
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Nov 14, 2013
by
J. Bernstein

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Topics: Maths, Linear Algebra and Geometry, Geometry, Mathematics

Source: http://www.flooved.com/reader/1954

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121

Nov 14, 2013
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Nov 14, 2013
by
Ben Simons

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How are the properties of an electron gas in�uenced by weak Coulomb interaction? _ Qualitative considerations: When is the intereaction weak? De�ning

Topics: Physics, Condensed Matter, Particle Physics and Fields, Quantum Physics, General Theory of Fields...

Source: http://www.flooved.com/reader/3056

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335

Nov 14, 2013
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Nov 14, 2013
by
Peter Dourmashkin

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Topics: Physics, Classical Mechanics, Classical Mechanics of Discrete Systems, General Theory of Classical...

Source: http://www.flooved.com/reader/3290

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723

Nov 14, 2013
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Nov 14, 2013
by
Richard Fitzpatrick

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These lecture notes are designed to accompany a lower-division college survey course covering electricity, magnetism, and optics. Students are expected to be familiar with calculus and elementary mechanics.

Topic: Maths

Source: http://www.flooved.com/reader/2861

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123

Nov 14, 2013
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Nov 14, 2013
by
Kiran S. Kedlaya

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This unit begins the second part of the course, in which we will investigate a class of methods in analytic number theory known as sieves. (For non-native speakers of English: in ordinary life, a sieve is a device through which you pour a powder, like �our, to �lter out large impurities.) Whereas the �rst part of the course leaned heavily on methods from complex analysis, here the emphasis will be more combinatorial.

Topics: Maths, Algebra, Number Theory, Mathematics

Source: http://www.flooved.com/reader/2090

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109

Nov 14, 2013
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Nov 14, 2013
by
Michel X. Goemans

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In this lecture we will cover: 1. Topics related to Edmonds-Gallai decompositions 2. Factor critica-raphs and ear-decompositions.

Topics: Maths, Graph Theory, Optimization and Control, Statistics and Probability, Connectivity and...

Source: http://www.flooved.com/reader/1938

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129

Nov 14, 2013
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Nov 14, 2013
by
Emma Carberry

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We�ll assume that the curves are in R3 unless otherwise noted. We start o_ by quoting the following useful theorem about self adjoint linear maps over R2:

Topics: Maths, Linear Algebra and Geometry, Differential Geometry, Mathematics

Source: http://www.flooved.com/reader/1111

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205

Nov 14, 2013
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Nov 14, 2013
by
Dmitry Panchenko

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Topic: Maths

Source: http://www.flooved.com/reader/1032

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92

Nov 14, 2013
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Nov 14, 2013
by
Jonathan Kelner

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Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/2022

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113

Nov 14, 2013
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Nov 14, 2013
by
Sigurdur Helgason

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Topics: Maths, Analysis and Calculus, Complex Analysis, Mathematics

Source: http://www.flooved.com/reader/1518

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106

Nov 14, 2013
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Nov 14, 2013
by
Jared Speck

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The results from the previous lecture produced one solution to the Dirichlet problem... But how do we know that this is the only one? In other words, we need to answer the uniqueness question (6) from the previous lecture. The next theorem addresses this question. We �rst need to introduce some important spacetime domains that will play a role in the analysis

Topics: Maths, Differential Equations (ODEs & PDEs), Partial Differential Equations (PDEs), Mathematics

Source: http://www.flooved.com/reader/1611