Exam papers 2017
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Massimo Gobbino
- Amministratore del Sito
- Messaggi:2298
- Iscritto il:lunedì 29 novembre 2004, 19:00
- Località:Pisa
- Contatta:
In this section one can find exam papers of 2017. Users are strongly advised to post comments, hints, full solutions.
- Allegati
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- CdV_17_CS6.pdf
- Exam paper number 6 (23 Sep 2017)
- (110.74KiB)Scaricato 216 volte
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- CdV_17_CS5.pdf
- Exam paper number 5 (27 Jul 2017)
- (146.97KiB)Scaricato 243 volte
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- CdV_17_CS4.pdf
- Exam paper number 4 (26 Jun 2017)
- (157.34KiB)Scaricato 225 volte
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- CdV_17_CS3.pdf
- Exam paper number 3 (06 Jun 2017)
- (148.35KiB)Scaricato 232 volte
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- CdV_17_CS2.pdf
- Exam paper number 2 (24 Feb 2017)
- (32.12KiB)Scaricato 245 volte
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- CdV_17_CS1.pdf
- Exam paper number 1 (10 Jan 2017)
- (31.91KiB)Scaricato 295 volte
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Massimo Gobbino
- Amministratore del Sito
- Messaggi:2298
- Iscritto il:lunedì 29 novembre 2004, 19:00
- Località:Pisa
- Contatta:
Re: Exam papers 2017
Exam paper #5 added.
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Massimo Gobbino
- Amministratore del Sito
- Messaggi:2298
- Iscritto il:lunedì 29 novembre 2004, 19:00
- Località:Pisa
- Contatta:
Re: Exam papers 2017
Exam paper #6 added.
-
Massimo Gobbino
- Amministratore del Sito
- Messaggi:2298
- Iscritto il:lunedì 29 novembre 2004, 19:00
- Località:Pisa
- Contatta:
Re: Exam papers 2017
Attached are some hints and partial solutions (exam paper 2017-1 coincides with exam paper 2018-1 
).
).- Allegati
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- CdV_17_CS6_Sol.pdf
- Exam paper 2017-6 -- Hints and partial solutions
- (1.09MiB)Scaricato 192 volte
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- CdV_17_CS5_Sol.pdf
- Exam paper 2017-5 -- Hints and partial solutions
- (1.13MiB)Scaricato 166 volte
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- CdV_17_CS4_Sol.pdf
- Exam paper 2017-4 -- Hints and partial solutions
- (1.36MiB)Scaricato 186 volte
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- CdV_17_CS3_Sol.pdf
- Exam paper 2017-3 -- Hints and partial solutions
- (2.01MiB)Scaricato 214 volte
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- CdV_17_CS2_Sol.pdf
- Exam paper 2017-2 -- Hints and partial solutions
- (1.97MiB)Scaricato 176 volte
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LucaMac
- Utente in crescita
- Messaggi:11
- Iscritto il:lunedì 28 novembre 2016, 14:20 [phpBB Debug] PHP Warning: in file [ROOT]/vendor/twig/twig/lib/Twig/Extension/Core.php on line 1236: count(): Parameter must be an array or an object that implements Countable
Re: Exam papers 2017
Hello! I believe there's a mistake in the 5th exam paper's solution. Probably I am wrong, but at least I want to understand why.
In the 3rd exercise, part (a), case , there is the inequality for any in a suitable neighborhood of .
I believe this is wrong.
Indeed, considering WLOG neighborhood = , we can swap and .
Therefore we have and , thus it must be an equality.
So there exists a constant such that for any with small enough we have , which is clearly false.
Moreover I believe that, for is not a (WLM).
That's because (just outlining the main points) if were a (WLM), then would be another (WLM) for small enough ( because of the parity of ), but doesn't satisfy (ELE) for any (but it should be easier to prove there is a small enough value of ).
In the 3rd exercise, part (a), case , there is the inequality for any in a suitable neighborhood of .
I believe this is wrong.
Indeed, considering WLOG neighborhood = , we can swap and .
Therefore we have and , thus it must be an equality.
So there exists a constant such that for any with small enough we have , which is clearly false.
Moreover I believe that, for is not a (WLM).
That's because (just outlining the main points) if were a (WLM), then would be another (WLM) for small enough ( because of the parity of ), but doesn't satisfy (ELE) for any (but it should be easier to prove there is a small enough value of ).
Ultima modifica di LucaMac il giovedì 13 settembre 2018, 20:00, modificato 1 volta in totale.
-
Massimo Gobbino
- Amministratore del Sito
- Messaggi:2298
- Iscritto il:lunedì 29 novembre 2004, 19:00
- Località:Pisa
- Contatta:
-
Massimo Gobbino
- Amministratore del Sito
- Messaggi:2298
- Iscritto il:lunedì 29 novembre 2004, 19:00
- Località:Pisa
- Contatta:
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