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Class Notes for 18.095 at Massachusetts Institute of Technology (MIT)

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MIT18.095Alan EdelmanWinter

18.095 Lecture Notes - Lecture 5: Positive And Negative Syndrome Scale, Aripiprazole, Bernoulli Distribution

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14 Apr 2016
10
To be approved by the fda, the clinical trials must demonstrate that the drug is more performant than the placebo. In principle, we can extrapolate as
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MIT18.095Alan EdelmanWinter

18.095 Lecture 9: 18.095 Jan 25, 2016 (Lecture 9)

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14 Apr 2016
0
Tennis: 3 or 5 sets in a match. Michael brenner: sports competitions and the binomial distribution. Many sporting events have play-offs designed to nd
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MIT18.095Alan EdelmanWinter

18.095 Lecture Notes - Lecture 7: Linking Number

OC9068081 Page
14 Apr 2016
3
How to detect if a given closed loop in three dimensional space is knotted and how to understand if one closed loop is deformable to another. Things we
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MIT18.095Alan EdelmanWinter

18.095 Lecture Notes - Lecture 2: Singular Value Decomposition, Symmetric Matrix, Gilbert Strang

OC9068081 Page
14 Apr 2016
7
The matrix q and its inverse rotate the matrix d by different angles. Example: and we want to get a symmetric matrix out of it, namely a a. We then wan
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MIT18.095Alan EdelmanWinter

18.095 Lecture Notes - Lecture 3: Smoothness

OC9068081 Page
14 Apr 2016
2
David spivak a category-theoretic approach to understanding the steady states of coupled dynamic systems. Information is coupled, meaning it is owing f
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MIT18.095Alan EdelmanWinter

18.095 Lecture Notes - Lecture 1: Transport Layer Security, Block Cipher Mode Of Operation, Forward Secrecy

OC9068083 Page
14 Apr 2016
6
Completely secure if used properly; acts as a random mapping. Extremely insecure if used improperly, such as using a two-times pad. Key distribution an
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MIT18.095Alan EdelmanWinter

18.095 Lecture Notes - Lecture 6: Trefoil Knot, Hermann Von Helmholtz, Solomon Lefschetz

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14 Apr 2016
6
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MIT18.095Alan EdelmanWinter

18.095 Lecture Notes - Lecture 4: Continuous Function, Step Function, Oliver Heaviside

OC9068081 Page
14 Apr 2016
4
Steven johnson: delta functions and distributions: when functions have no value(s) A point charge is a hypothetical charge located at a single point in
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MIT18.095Alan EdelmanWinter

18.095 Lecture Notes - Lecture 8: Bipartite Graph, Graph Matching, Lattice Path

OC9068081 Page
14 Apr 2016
15
How many ways are there to tile a chessboard. Enumerating tilings by hand is hopeless but there is an easier way. Counting vertex-disjoint lattice path
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