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Limit Infinite
Welcome to Limit Infinite!
Mathematics
Functions
Observations on power, exponential and logarithmic functions
Scaling, translation and reflection of functions
Hierarchy of families of functions
Set operations and mappings of sets by functions
Calculus
Differentiability of a function indicates its smoothness
Gradient vector and derivative matrices are beautiful extensions of derivative to higher dimensions
Evaluating limits using change of variables
Whence the number ‘e’?
Why limits?
Why integrals?
Linear Algebra
Vectors: Linear Algebra Vs Calculus
A reference of basic facts of matrix algebra
What is the significance of eigenvalues and eigenvectors?
Quick facts on eigenvalues and eigenvectors
Probability
Linear functions of a random variable
Independence does not imply conditional independence
What real-life situations is Poisson distribution a good model of?
Is waiting time for a cab always memoryless?
Discrete counterparts to exponential and Erlang random variables
Is expectation the value that a random variable takes on average?
A nice read on point processes, Fano factor and Coefficient of Variation
Complex variables
Why is complex exponential defined the way it is?
Transforms
Why Fourier transforms?
Fourier transforms: periodicity maps to discreteness
Generality of integral Fourier transforms
Convergence of Fourier Transforms and their Inverses
Is “Dirac Delta” a function?
Hilbert Transforms on L^p
Machine Learning
A survey of papers in deep learning
Some notes on training deep neural networks
Reinforcement Learning
Justification of LMS cost function in a probabilistic model
Back-propagation = Dynamic programming + Calculus chain rule
Simple perceptrons compute linear functions
What is VC dimension?
Blog
My favorite things
Books
Webmarks
Quotes
Travel Chronicles
Char Dham (2019) (in development)
Spain and Morocco (2019) (in development)
Andaman islands (2017)
Natural Wonders of Utah (2016)
Europe (2015)
Search for:
Mathematics – Complex variables
Why is complex exponential defined the way it is?
Welcome to Limit Infinite!
Mathematics
Functions
Observations on power, exponential and logarithmic functions
Scaling, translation and reflection of functions
Hierarchy of families of functions
Set operations and mappings of sets by functions
Calculus
Differentiability of a function indicates its smoothness
Gradient vector and derivative matrices are beautiful extensions of derivative to higher dimensions
Evaluating limits using change of variables
Whence the number ‘e’?
Why limits?
Why integrals?
Linear Algebra
Vectors: Linear Algebra Vs Calculus
A reference of basic facts of matrix algebra
What is the significance of eigenvalues and eigenvectors?
Quick facts on eigenvalues and eigenvectors
Probability
Linear functions of a random variable
Independence does not imply conditional independence
What real-life situations is Poisson distribution a good model of?
Is waiting time for a cab always memoryless?
Discrete counterparts to exponential and Erlang random variables
Is expectation the value that a random variable takes on average?
A nice read on point processes, Fano factor and Coefficient of Variation
Complex variables
Why is complex exponential defined the way it is?
Transforms
Why Fourier transforms?
Fourier transforms: periodicity maps to discreteness
Generality of integral Fourier transforms
Convergence of Fourier Transforms and their Inverses
Is “Dirac Delta” a function?
Hilbert Transforms on L^p
Machine Learning
A survey of papers in deep learning
Some notes on training deep neural networks
Reinforcement Learning
Justification of LMS cost function in a probabilistic model
Back-propagation = Dynamic programming + Calculus chain rule
Simple perceptrons compute linear functions
What is VC dimension?
Blog
My favorite things
Books
Webmarks
Quotes
Travel Chronicles
Char Dham (2019) (in development)
Spain and Morocco (2019) (in development)
Andaman islands (2017)
Natural Wonders of Utah (2016)
Europe (2015)
Search for:
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