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SeptimusHeap MOD (Edited uphill both ways)
Mar 20th 2021 at 8:28:56 AM •••

Previous Trope Repair Shop thread: Duplicate Trope, started by Pichu-kun on Dec 25th 2019 at 11:40:36 PM

"For a successful technology, reality must take precedence over public relations, for Nature cannot be fooled." - Richard Feynman
Julia1984 Since: Sep, 2014
Jan 22nd 2016 at 1:02:10 PM •••

How is this different from Ship Mates? Either needs merged or explanations added to trope descriptions. I would add them, but I honestly have no idea how they are different.

Edited by Julia1984
193.33.148.192 Since: Dec, 1969
May 5th 2011 at 5:15:32 AM •••

"if x=y then f(x)=f(y)" -every algebra textbook ever

Isn't that wrong? for example:

f(x)=3x+9 f(y)=1.5y-3

Those two aren't equal at all...

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stardf29 Since: Jan, 2001
May 5th 2011 at 10:02:07 AM •••

That's not how that theorem works. Any given function "f" is the same regardless of what's in the parenthesees, and the only thing the letter in the parenthesees indicates is what letter gets used in that function. If f(x) = 3x+9, then f(y) = 3y+9. You can't say f(y) is something different because that would be changing the function "f".

The theorem is that if x = y, then for any given function f, f(x) = f(y).

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