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Cake day: February 19th, 2024

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  • The Nazi gold is still very much a thing. And the descendants of Jewish people who died in concentration camps are often unsuccessful in reclaiming any wealth that was stored in Swiss banks, because they don’t have death certificates and what not. Switzerland is incredibly stubborn and selfish when it comes to anything that would tarnish their neutral stance in banking and politics.













  • Except it does matter. I left some examples for another post with multiplication and division, I’ll give you some addition and subtraction to see order matter with those operations as well.

    Let’s take:
    1 + 2 - 3 + 4

    Addition first:
    (1 + 2) - (3 + 4)
    3 - 7 = -4

    Subtraction first:
    1 + (2 - 3) + 4
    1 + (-1) + 4 = 4

    Right to left:
    1 + (2 - (3 + 4))
    1 + (2 - 7)
    1 + (-5) = -4

    Left to right:
    ((1 + 2) - 3) + 4
    (3 - 3) + 4 = 4

    Edit: You can argue that, for example, the addition first could be (1 + 2) + (-3 + 4) in which case it does end up as 4, but in my opinion that’s another ambiguous case.


  • So let’s try out some different prioritization systems.

    Left to right:

    (((6 * 4) / 2) * 3) / 9
    ((24 / 2) * 3) / 9
    (12 * 3) / 9
    36 / 9 = 4
    

    Right to left:

    6 * (4 / (2 * (3 / 9)))  
    6 * (4 / (2 * 0.333...))  
    6 * (4 / 0.666...)  
    6 * 6 = 36
    

    Multiplication first:

    (6 * 4) / (2 * 3) / 9  
    24 / 6 / 9
    

    Here the path divides again, we can do the left division or right division first.

    Left first: 
    (24 / 6) / 9  
    4 / 9 = 0.444...
    
    Right side first:  
    24 / (6 / 9)  
    24 / 0.666... = 36
    

    And finally division first:

    6 * (4 / 2) * (3 / 9)  
    6 * 2 * 0.333...  
    12 * 0.333.. = 4 
    

    It’s ambiguous which one of these is correct. Hence the best method we have for “correct” is left to right.