Initial data commit
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PlusMinus /: a_ ± σa_ + c_?NumericQ := N[(a + c) ± σa];
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PlusMinus /: a_ ± σa_ + b_ ± σb_ := N[(a + b) ± Norm@{σa, σb}];
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PlusMinus /: c_?NumericQ (a_ ± σa_) := N[c a ± Abs[c σa]];
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PlusMinus /: (a_ ± σa_) (b_ ± σb_) := N[a b ± (a b Norm@{σa/a, σb/b})^2];
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PlusMinus /: (a_ ± σa_)^c_?NumericQ := N[a^c ± Abs[a^c σa/a]];
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x1 = 100 ± 1.1;
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y1 = 50 ± 1.2;
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x2 = 200 ± 2.2;
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y2 = 100 ± 2.3;
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d = Sqrt[(x1 - x2)^2 + (y1 - y2)^2]
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x1 = Around[100, 1.1];
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y1 = Around[50, 1.2];
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x2 = Around[200, 2.2];
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y2 = Around[100, 2.3];
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d = Sqrt[(x1 - x2)^2 + (y1 - y2)^2]
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