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

• 9 Results
MIT18.095Alan EdelmanWinter

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

OC9068082 Page
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)

OC9068081 Page
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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