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  • Technology
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    • Puzzle Composer
      • How to create your own mathematical puzzles
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  • math puzzle
    10 nodes,  Mathematical Puzzles

    Can you solve this puzzle? #5

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  • math puzzle
    10 nodes,  Mathematical Puzzles

    Can you solve this puzzle? #4

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  • math puzzle
    10 nodes,  Mathematical Puzzles

    Can you solve this puzzle? #3

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  • math puzzle
    10 nodes,  Mathematical Puzzles

    Can you solve this puzzle? #2

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  • directed graph math
    Mathematics

    Strictly Monotone Weight Functions on Directed Graphs

      OUTLINE Introduction General Definitions When can any weight function be turned into a strictly monotone weight function? Weighted Directed Graphs in Applications Autonomous Driving Quantum Walks Artificial Neural Networks   SUMMARY: We define a directed graph as a space with any binary relation, and we define a strictly monotone weight function on any directed graph. We prove when no weight function on a directed graph can be turned into a strictly monotone weight function, and we give a characterization of any strictly monotone weight function. Finally, we mention the use of weighted directed graphs in autonomous driving research, quantum information, and deep learning.    Introduction Here is an example…

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  • math puzzle
    10 nodes,  Mathematical Puzzles

    Can you solve this puzzle? #1

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