Timeline for Examples where it's useful to know that a mathematical object belongs to some family of objects
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Jun 12, 2014 at 2:19 | comment | added | Tom Goodwillie | Well, you can start the induction with the trivial $n=0$ case. | |
| Jun 12, 2014 at 1:56 | comment | added | KConrad | Concerning the comment at the end about proofs by induction, the case $n=1$ is not always trivial, but sometimes is in fact where all the meat of the argument lies. Consider the proof that if $A$ is a UFD then $A[X_1,\dots,X_n]$ is a UFD. Only the case $n=1$ is hard. | |
| Sep 11, 2011 at 18:35 | history | edited | roy smith | CC BY-SA 3.0 |
added 415 characters in body
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| Sep 11, 2011 at 18:23 | history | answered | roy smith | CC BY-SA 3.0 |