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Mathematics

  • Gambler's Fallacy - Let's Confirm by Playing!
    LearnMathematics Tools by manisar in 2021 (Sep 04) updated: 2022, Nov 08.
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    Location: All Content / Science and Technology / Mathematics
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    Let's make the computer play thousands of times betting on different strategies to see if it's really a fallacy. And more!
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  • Information Theory - Rationale Behind Using Logarithm for Entropy, and Other Explanations
    LearnData Science, Machine Learning, Mathematics by manisar in 2021 (Jan 13) updated: 2021, Sep 10.

    See the Information Theory in a new light. Understand intuitively how the information of an event naturally relates to its probability and encoding
    And, it's nice to know that understanding information theory helps in getting some of the aspects of machine learning as well.

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  • The Monty Hall Paradox Probability Equations
    LearnMathematics by manisar in 2020 (Oct 28) updated: 2021, Feb 09.
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    Let's derive the probability equations that govern the predictions of the famous Monty Hall problem. Doing it for generalized number of total, closed and open doors gives us a better understanding and deeper satisfaction!

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    Monty Hall Paradox Test Tool
    Learn Tools by manisar in 2020 (Oct 26) updated: 2021, Feb 09.
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    A very beautiful, counterintuitive and yet so simple puzzle! Have a look here, and see for yourself intuitively why it works.

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  • An Intuitive Look at Euler's Formula (and All the Numbers!)
    LearnMathematics by manisar in 2020 (Aug 05) updated: 2021, Jan 12.
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    Let's dissect one of the (if not the) most beautiful equations in mathematics.

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  • Standard Deviation (σ) vs. Mean Absolute Deviation (MAD)
    LearnMathematics by manisar in 2020 (Jul 15) updated: 2023, Jul 15.
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    Why do we use standard deviation at most places when we have conceptually easier to understand mean absolute division? Let's try to figure it out.

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    A Simple yet Interesting Question in Statistics
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    Knight's Tour on A Chessboard
    LearnInformation Technology Tools by manisar in 2020 (May 18) updated: 2022, Jan 06.
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    Find solution to a knight's tour problem starting with any position.

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  • From Tools
    Sudoku Solver
    LearnInformation Technology Tools by manisar in 2020 (Apr 20) updated: 2021, Sep 10.
    A typical Sudoku grid

    A simple 9x9 Sudoku Solver tool using backtracking. The current version runs on Python.

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    This page utilizes a service that solves a 9x9 Sudoku. The service is written in Python.
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