| Borchardt biography (777 words) |
 | In 1881 Borchardt published an algorithm for the arithmetic-geometric mean of two elements from (two) sequences, although it was actually first proposed by Gauss in a letter to Pfaff written in 1800. |
| Borchardt completed publishing the remaining parts of the correspondence in 1875 and Jacobi was then able to get full recognition for his contributions to the theory of elliptic functions made independent of those of Abel. |
| Borchardt contributed to spreading the mathematical ideas introduced by Jacobi but he also spread Jacobi's ideas on the way that universities should be organised, namely in a research oriented way. |
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