File:Addition of integers using Grothendieck construction.svg

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Summary

A depiction of the sum (−2) + 1 = (−1) using the Grothendieck group construction of integers as equivalence classes of pairs of natural numbers. Representing −2 = <2, 4> and 1 = <3, 2>, we have

−2 + 1 = <2, 4> + <3, 2> = <5, 6> = −1.

Licensing

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File history

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Date/TimeThumbnailDimensionsUserComment
current10:19, 12 January 2017Thumbnail for version as of 10:19, 12 January 2017138 × 282 (16 KB)127.0.0.1 (talk)A depiction of the sum (−2) + 1 = (−1) using the Grothendieck group construction of integers as equivalence classes of pairs of natural numbers. Representing −2 = <2, 4> and 1 = <3, 2>, we have <dl><dd>−2 + 1 = <2, 4> + <3, 2> = <5, 6> = −1.</dd></dl>
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