Function Repository Resource:

DualPart

Get the dual part of a dual number

Contributed by: Jan Mangaldan

ResourceFunction["DualPart"][d]

gives the dual part of the dual number d.

Details

Dual numbers are hypercomplex numbers of the form a+bε, where a and b are real numbers, and ε satisfies the relation ε²=0.

In the expression a+bε, a is the real part and b is the dual part.

ResourceFunction["DualPart"] can be used on both real numbers and DualNumber objects.

ResourceFunction["DualPart"] automatically threads over lists.

Find the dual part of a dual number:

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Evaluate numerically:

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DualPart threads elementwise over lists and matrices:

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$ResourceFunction["DualPart"][( { {1, u}, {v, ResourceFunction["DualNumber"][0, -1]} }\:f3a2)]$

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The dual part of a real number is zero:

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