The Palindrome

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How to add infinitely many numbers together?
Exploring the surprising world of infinite series and their rearrangements
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2
Epsilons, no. 5: The QR decomposition
matrices + the Gram-Schmidt process = magic
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Epsilons, no. 4: The Gram-Schmidt process
Orthogonalizing bases since 1883
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9
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Matrices and graphs
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10
Why does gradient descent work?
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7
Probabilities, densities, and distributions
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The fascinating story of the exponential function
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6
Epsilons, no. 4: The Gram-Schmidt process
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9
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Why does gradient descent work?
Rolling downhill with dynamical systems
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7
Epsilons, no. 3: The LU decomposition
How determinants and matrix inverses are calculated
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Tivadar Danka
Epsilons, no. 2: Understanding matrix multiplication
The geometric and algebraic interpretation of matrix products
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Tivadar Danka
Epsilons, no. 1: The geometric series
One of my favorite formulas is the closed-form of the geometric series.I am amazed by its ubiquity: whether we are solving basic problems or pushing the…
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Tivadar Danka
1111111111 is a random sequence
You are (probably) wrong about randomness. I’ll show it to you. Let’s do an experiment. Pick up a pen, paper, or your favorite text editor, and manually…
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Tivadar Danka
1
The Law of Large Numbers
How randomness is averaged out in the long run
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Tivadar Danka
The fascinating story of the exponential function
The way you think about the exponential function is (probably) wrong. Don't think so? I'll convince you. Did you realize that multiplying e by itself π…
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Tivadar Danka
6
The Palindrome
The Palindrome
Mathematics for engineers, scientists, and other curious minds. Explaining things like your teachers should have, but probably never did.
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The Palindrome

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