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Added math labels to posts that use mathjax
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@ -21,6 +21,7 @@ mf2_syndication:
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format: aside
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kind:
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- note
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math: true
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---
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Using Monte Carlo methods, we can create a simulation that approximates pi. In this post, we will go over the math behind the approximation and the code.
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@ -126,4 +127,4 @@ We found an approximation of pi using the Monte Carlo methods! I find that reall
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1) We don’t keep track of double counting. One possible solution for this is increasing the radius and bounding box appropriately so that the probability of double counting is low.
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2) Speed. The more trials you ask it to run, the longer it takes to perform all of the simulations. One possible way around this is to write a parrallel version of this code. That’s possible because of the equal variance that we spoke of earlier. Pooling the successses and trials will still result in a good approximation.
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2) Speed. The more trials you ask it to run, the longer it takes to perform all of the simulations. One possible way around this is to write a parrallel version of this code. That’s possible because of the equal variance that we spoke of earlier. Pooling the successses and trials will still result in a good approximation.
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@ -3,6 +3,7 @@ title: "Useful Abstract Definitions"
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date: 2019-10-27T23:49:57-04:00
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draft: false
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tags: [ "abstract algebra" ]
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math: true
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---
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## Chapter 17
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@ -2,6 +2,7 @@
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title: "Cryptographic Games"
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date: 2020-01-13T21:35:09-05:00
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draft: false
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math: true
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---
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When analyzing cryptographic algorithms, we characterize the strength of the crypto-system by analyzing what happens in various crypto games. Below are a couple examples of crypto games used in literature.
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@ -3,6 +3,7 @@ title: "Groups Simplified"
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date: 2019-12-10T21:40:00-05:00
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draft: false
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tags: [ "abstract algebra" ]
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math: true
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---
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This post is inspired by the book "Term Rewriting & All That" by Franz Baader and Tobias Nipkow.
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@ -3,6 +3,7 @@ title: "Theorem Proving Definitions"
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date: 2019-12-29T11:21:07-05:00
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draft: false
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images: []
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math: true
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---
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When I look into a new field, sometimes I get confused by the whole new set of vocab terms I need to encounter. This post will serve to keep me straight with the terms involved in theorem proving.
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@ -14,4 +15,4 @@ When I look into a new field, sometimes I get confused by the whole new set of v
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| Decidable | An effective method exists for deriving the correct answer in a finite time. |
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| Sound | Every formula that can be proved in the system is logically valid with respect to the semantics of the system. (i.e The system does not produce a wrong result) |
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Hopefully, I'll come back and add more terms as I get confused.
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Hopefully, I'll come back and add more terms as I get confused.
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@ -3,6 +3,7 @@ title: "Symmetric Groups in Python"
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date: 2019-05-22T20:02:21-04:00
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draft: false
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tags: [ "abstract algebra" ]
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math: true
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---
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**Warning:** This post is meant for someone whose familiar with concepts of Abstract Algebra.
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@ -3,6 +3,7 @@ title: RSA Cryptography
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date: 2019-12-10T22:15:21-05:00
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draft: false
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images: []
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math: true
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---
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# Introduction
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