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commit d75f3fa664e0a57014998ee09f3fd4590aef0235
parent 90a479bdf99f27ff911ce9e0e8d3fb0e3661dd38
Author: Andrew <andrewlaack1@gmail.com>
Date:   Wed, 28 Aug 2024 12:03:26 -0500

took notes from yesterday

Diffstat:
ABinomial.md | 8++++++++
ADistinguishablePermutation.md | 8++++++++
MLinearAlgebra.md | 13+++++++++++++
AMultinomialCoefficient.md | 15+++++++++++++++
MStatisticsAndProbability.md | 4+++-
Mindex.md | 6+++---
6 files changed, 50 insertions(+), 4 deletions(-)

diff --git a/Binomial.md b/Binomial.md @@ -0,0 +1,8 @@ +:stats: :prob: +# Binomial + +Ch 1.3 + +## Notes + +**Definition:** A binomial is the combination of two values in the form of (x + y). diff --git a/DistinguishablePermutation.md b/DistinguishablePermutation.md @@ -0,0 +1,8 @@ +:prob: :stats: +# Distinguishable Permutation + +Ch 1.3 + +## Notes + +**Definition:** A distinguishable permutation is a permutation that can be distinguished from all other permutations. diff --git a/LinearAlgebra.md b/LinearAlgebra.md @@ -7,6 +7,19 @@ The basis of linear algebra is solving systems of equations. ## Links +Linear Algebra Done Right: + +Chapter 1: + - Vector Space + - Tuple (list - finite) + - real vector space + - complex vector space + - subspace (also a vector space) + - sum (of vector space) + - direct sum + +Khan Academy: + Khan Unit 1 (mostly): - [[Matrix.md]] - [[LinearEquations.md]] diff --git a/MultinomialCoefficient.md b/MultinomialCoefficient.md @@ -0,0 +1,15 @@ +:stats: :prob: +# Multinomial Coefficient + +Ch 1.3 + +## Notes + +**Definition:** A multinomial coefficient is a form of binomial coefficient where the bottom of the binomial coefficient is multiple numbers. + +Calculating the multinomial is quite simple. Assume we have 3,3,4 on the bottom and 10 on the top. We can find the multinomial coefficient by finding the following: + +( 10 ) = (10!)/(3!3!4!) = 4200 +(3,3,4) + +The above means that there are 4200 possible permutations that are of length 10 where we have 3 of one group, 3 of another group, and 4 of the final group. diff --git a/StatisticsAndProbability.md b/StatisticsAndProbability.md @@ -29,7 +29,9 @@ Chapter 1.3: - [Permutation](Permutation.md) - [BinomialCoefficient](BinomialCoefficient.md) - [OrderedSample](OrderedSample.md) - + - [Binomial](Binomial.md) + - [DistinguishablePermutation](DistinguishablePermutation.md) + - [MultinomialCoefficient](MultinomialCoefficient.md) --- diff --git a/index.md b/index.md @@ -38,6 +38,9 @@ Stats + Prob Lin-alg - [ ] Cofactor (define) - [ ] Minors + - [ ] SVD + - [ ] PCA + - [ ] Norms (for regression) ML - [ ] RNN @@ -46,6 +49,3 @@ ML - [ ] Transformer - [ ] KAN - [ ] Linear Regression statistical approach - -Algorithms - - [ ] Fisher-Yates (Knuth) shuffle algorithm