If you had Cirno an equation with a 9 in one of the operands, will she write "NaN"? Or will her head explode?
Inquiring minds would like to know!
I had Keine conduct a few mathematical experiments for me to confirm my own hypothesis; don't ask how I ended up there, but this question stayed fresh in my mind as I entered the village (Reimu later had me leave, but she allowed enough time to conduct my experiment... a rather decent girl when you have enough pocket change on you...):
If the "9" happens to be found in between two other digits, Cirno will remark that the problem has been miswritten. We partly discovered this when asking her to solve the problem 94 + 12 = ___; she said we did something funny with the setup, erased the "9" next to the 4, and placed it on the right-hand side of the 4... (the natural format by which an "x" would go next to a coefficient in an algebraic equation; we later saw that she was absolutely perplexed by setups with "9" in-between two digits, looking at us with eyes that are meant to be cast upon insane people).
We then had her try to solve the equation she had setup: 49 + 12 = ___.
She asked for us to fill in the other side of the equation for her after an awkward pause as she looked upon us with a face that said, "what exactly do you expect me to do with this?" We displayed the correct answer in decimal for her: 49 + 12 = 61; we were about to call it a day and resume the usual class schedule until Cirno finally started marking the board: 49 = 61 - 12 = 48...
At this point, while we were mindful of the fact that Cirno worked in base 9, we felt the unfortunate need to remark to her that "forty-nine does not equal forty-eight", upon which Cirno looked at us and said in a surprisingly matter-of-fact tone, "of course it doesn't...but what does that have to do with this?", leaving us flustered at our apparent stupidity for a moment as we watched her CONTINUE to work the problem: 9 = 48/4 = 12.
At this point it became clear that the "9" was indeed being treated as a variable in the equation... and Cirno had performed a completely correct subtraction and division in base 9 to do it.
The number would not register as having the same significance to Cirno as the rest of us with consideration of its value in the decimal system to represent a particular quantity. Rather, she'd assume, since the number "9" could technically count as a letter or a symbol of some sort, that "9" is a variable that she must solve for by algebraic or other means.
You are the end result of a “would you push the button” prompt where the prompt was “you have unlimited godlike powers but you appear to all and sundry to be an impetuous child” – Zero, 2022
You are the end result of a “would you push the button” prompt where the prompt was “you have unlimited godlike powers but you appear to all and sundry to be an impetuous child” – Zero, 2022
My name is Jessiqa and I use "squidward/spongebob" pronouns
You are the end result of a “would you push the button” prompt where the prompt was “you have unlimited godlike powers but you appear to all and sundry to be an impetuous child” – Zero, 2022
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If the "9" happens to be found in between two other digits, Cirno will remark that the problem has been miswritten. We partly discovered this when asking her to solve the problem 94 + 12 = ___; she said we did something funny with the setup, erased the "9" next to the 4, and placed it on the right-hand side of the 4... (the natural format by which an "x" would go next to a coefficient in an algebraic equation; we later saw that she was absolutely perplexed by setups with "9" in-between two digits, looking at us with eyes that are meant to be cast upon insane people).
We then had her try to solve the equation she had setup: 49 + 12 = ___.
She asked for us to fill in the other side of the equation for her after an awkward pause as she looked upon us with a face that said, "what exactly do you expect me to do with this?"
We displayed the correct answer in decimal for her: 49 + 12 = 61; we were about to call it a day and resume the usual class schedule until Cirno finally started marking the board: 49 = 61 - 12 = 48...
At this point, while we were mindful of the fact that Cirno worked in base 9, we felt the unfortunate need to remark to her that "forty-nine does not equal forty-eight", upon which Cirno looked at us and said in a surprisingly matter-of-fact tone, "of course it doesn't...but what does that have to do with this?", leaving us flustered at our apparent stupidity for a moment as we watched her CONTINUE to work the problem: 9 = 48/4 = 12.
At this point it became clear that the "9" was indeed being treated as a variable in the equation... and Cirno had performed a completely correct subtraction and division in base 9 to do it.
The number would not register as having the same significance to Cirno as the rest of us with consideration of its value in the decimal system to represent a particular quantity. Rather, she'd assume, since the number "9" could technically count as a letter or a symbol of some sort, that "9" is a variable that she must solve for by algebraic or other means.
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