Forward-backward induction
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I've seen the famous proof presented by Cauchy for the AM-GM inequality but what other neat proofs use forward-backward induction? Is it fundamentally inextricable from ordinary induction (are there no problems where only forward-backward induction will do the trick and not ordinary induction)? Are there other even more variants of induction like this that have their own uses? Any material one could refer to that deals with more useful examples of FB induction?
soft-question big-list reference-works
asked Jan 14 at 10:36
Cardioid_Ass_22Cardioid_Ass_22
56217
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add a comment |
$begingroup$
I've seen the famous proof presented by Cauchy for the AM-GM inequality but what other neat proofs use forward-backward induction? Is it fundamentally inextricable from ordinary induction (are there no problems where only forward-backward induction will do the trick and not ordinary induction)? Are there other even more variants of induction like this that have their own uses? Any material one could refer to that deals with more useful examples of FB induction?
soft-question big-list reference-works
asked Jan 14 at 10:36
Cardioid_Ass_22Cardioid_Ass_22
56217
$endgroup$
1
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This question has been posted on Math Overflow. Cauchy induction is another name for FB induction.
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– coDE_RP
Jan 20 at 16:57
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@coDE_RP Wow, well some of those answers are quite interesting! Thank you
$endgroup$
– Cardioid_Ass_22
Jan 20 at 17:31
add a comment |
$begingroup$
I've seen the famous proof presented by Cauchy for the AM-GM inequality but what other neat proofs use forward-backward induction? Is it fundamentally inextricable from ordinary induction (are there no problems where only forward-backward induction will do the trick and not ordinary induction)? Are there other even more variants of induction like this that have their own uses? Any material one could refer to that deals with more useful examples of FB induction?
soft-question big-list reference-works
asked Jan 14 at 10:36
Cardioid_Ass_22Cardioid_Ass_22
56217
$endgroup$
I've seen the famous proof presented by Cauchy for the AM-GM inequality but what other neat proofs use forward-backward induction? Is it fundamentally inextricable from ordinary induction (are there no problems where only forward-backward induction will do the trick and not ordinary induction)? Are there other even more variants of induction like this that have their own uses? Any material one could refer to that deals with more useful examples of FB induction?
soft-question big-list reference-works
soft-question big-list reference-works
asked Jan 14 at 10:36
Cardioid_Ass_22Cardioid_Ass_22
56217
asked Jan 14 at 10:36
Cardioid_Ass_22Cardioid_Ass_22
56217
edited Jan 19 at 0:22
Cardioid_Ass_22
asked Jan 14 at 10:36
Cardioid_Ass_22Cardioid_Ass_22
56217
asked Jan 14 at 10:36
Cardioid_Ass_22Cardioid_Ass_22
56217
asked Jan 14 at 10:36
Cardioid_Ass_22Cardioid_Ass_22
56217
56217
1
$begingroup$
This question has been posted on Math Overflow. Cauchy induction is another name for FB induction.
$endgroup$
– coDE_RP
Jan 20 at 16:57
$begingroup$
@coDE_RP Wow, well some of those answers are quite interesting! Thank you
$endgroup$
– Cardioid_Ass_22
Jan 20 at 17:31
add a comment |
1
$begingroup$
This question has been posted on Math Overflow. Cauchy induction is another name for FB induction.
$endgroup$
– coDE_RP
Jan 20 at 16:57
$begingroup$
@coDE_RP Wow, well some of those answers are quite interesting! Thank you
$endgroup$
– Cardioid_Ass_22
Jan 20 at 17:31
1
1
$begingroup$
This question has been posted on Math Overflow. Cauchy induction is another name for FB induction.
$endgroup$
– coDE_RP
Jan 20 at 16:57
$begingroup$
This question has been posted on Math Overflow. Cauchy induction is another name for FB induction.
$endgroup$
– coDE_RP
Jan 20 at 16:57
$begingroup$
@coDE_RP Wow, well some of those answers are quite interesting! Thank you
$endgroup$
– Cardioid_Ass_22
Jan 20 at 17:31
$begingroup$
@coDE_RP Wow, well some of those answers are quite interesting! Thank you
$endgroup$
– Cardioid_Ass_22
Jan 20 at 17:31
add a comment |
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1
$begingroup$
This question has been posted on Math Overflow. Cauchy induction is another name for FB induction.
$endgroup$
– coDE_RP
Jan 20 at 16:57
$begingroup$
@coDE_RP Wow, well some of those answers are quite interesting! Thank you
$endgroup$
– Cardioid_Ass_22
Jan 20 at 17:31