Including proofs of known theorems in master's thesisWhen should one include the proof of known results in a...

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Including proofs of known theorems in master's thesis


When should one include the proof of known results in a mathematical PhD thesis?Including many pages of serialization code and generated source code in Master's thesis?Master's Thesis - using wikipedia contents in applicationMaster's degree vs. Master's degree without thesisLength of a master's thesis and its literature review?What is the best way of breaking a mathematical development into a sequence of articles?Including own published proofs in PhD thesisCiting propositions etc. in a master's thesisUgly master's thesis but one great proofQuestion concerning proofs of theorems in defense PHD thesisShould I include proofs for known theorems in a doctoral thesis in mathematics?













1















I am currently writing my master's thesis in computer science. In my topic, I had a lot of papers to read and my main result relies also heavily on some theorems from especially one paper.



In the common literature there are some standard theorems for which the proofs are usually omitted bescause it is common knowledge or radically shortened as in "an easy application of the KKT theorem" and the authors do not want to waste any space for that.



In a master's thesis, however, I would assume that it is good practice to write down those proofs more extensively, since it also shows that you really understand your topic in-depth.



My question is: Would you agree on that and would a citation as in



Proposition 3.14 (see [5]). A nice theorem.
Proof. My extended proof.



be sufficient?



I checked out When should one include the proof of known results in a mathematical PhD thesis? already where the answers suggest that my intuition is right here (for a PhD thesis). My thesis advisor also agrees (which is probably most important), however, I am unsure to what degree this is appropriate.










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  • 1





    “cf.” means “compare”. I think you mean “see”.

    – Dan Romik
    1 hour ago











  • Absolutely, thanks!

    – ttnick
    19 mins ago











  • Why do you need to re-prove something? Why can't you just state the theorem?

    – user2768
    12 mins ago
















1















I am currently writing my master's thesis in computer science. In my topic, I had a lot of papers to read and my main result relies also heavily on some theorems from especially one paper.



In the common literature there are some standard theorems for which the proofs are usually omitted bescause it is common knowledge or radically shortened as in "an easy application of the KKT theorem" and the authors do not want to waste any space for that.



In a master's thesis, however, I would assume that it is good practice to write down those proofs more extensively, since it also shows that you really understand your topic in-depth.



My question is: Would you agree on that and would a citation as in



Proposition 3.14 (see [5]). A nice theorem.
Proof. My extended proof.



be sufficient?



I checked out When should one include the proof of known results in a mathematical PhD thesis? already where the answers suggest that my intuition is right here (for a PhD thesis). My thesis advisor also agrees (which is probably most important), however, I am unsure to what degree this is appropriate.










share|improve this question









New contributor




ttnick is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
















  • 1





    “cf.” means “compare”. I think you mean “see”.

    – Dan Romik
    1 hour ago











  • Absolutely, thanks!

    – ttnick
    19 mins ago











  • Why do you need to re-prove something? Why can't you just state the theorem?

    – user2768
    12 mins ago














1












1








1








I am currently writing my master's thesis in computer science. In my topic, I had a lot of papers to read and my main result relies also heavily on some theorems from especially one paper.



In the common literature there are some standard theorems for which the proofs are usually omitted bescause it is common knowledge or radically shortened as in "an easy application of the KKT theorem" and the authors do not want to waste any space for that.



In a master's thesis, however, I would assume that it is good practice to write down those proofs more extensively, since it also shows that you really understand your topic in-depth.



My question is: Would you agree on that and would a citation as in



Proposition 3.14 (see [5]). A nice theorem.
Proof. My extended proof.



be sufficient?



I checked out When should one include the proof of known results in a mathematical PhD thesis? already where the answers suggest that my intuition is right here (for a PhD thesis). My thesis advisor also agrees (which is probably most important), however, I am unsure to what degree this is appropriate.










share|improve this question









New contributor




ttnick is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.












I am currently writing my master's thesis in computer science. In my topic, I had a lot of papers to read and my main result relies also heavily on some theorems from especially one paper.



In the common literature there are some standard theorems for which the proofs are usually omitted bescause it is common knowledge or radically shortened as in "an easy application of the KKT theorem" and the authors do not want to waste any space for that.



In a master's thesis, however, I would assume that it is good practice to write down those proofs more extensively, since it also shows that you really understand your topic in-depth.



My question is: Would you agree on that and would a citation as in



Proposition 3.14 (see [5]). A nice theorem.
Proof. My extended proof.



be sufficient?



I checked out When should one include the proof of known results in a mathematical PhD thesis? already where the answers suggest that my intuition is right here (for a PhD thesis). My thesis advisor also agrees (which is probably most important), however, I am unsure to what degree this is appropriate.







thesis masters






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edited 19 mins ago







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asked 1 hour ago









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New contributor




ttnick is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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New contributor





ttnick is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






ttnick is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.








  • 1





    “cf.” means “compare”. I think you mean “see”.

    – Dan Romik
    1 hour ago











  • Absolutely, thanks!

    – ttnick
    19 mins ago











  • Why do you need to re-prove something? Why can't you just state the theorem?

    – user2768
    12 mins ago














  • 1





    “cf.” means “compare”. I think you mean “see”.

    – Dan Romik
    1 hour ago











  • Absolutely, thanks!

    – ttnick
    19 mins ago











  • Why do you need to re-prove something? Why can't you just state the theorem?

    – user2768
    12 mins ago








1




1





“cf.” means “compare”. I think you mean “see”.

– Dan Romik
1 hour ago





“cf.” means “compare”. I think you mean “see”.

– Dan Romik
1 hour ago













Absolutely, thanks!

– ttnick
19 mins ago





Absolutely, thanks!

– ttnick
19 mins ago













Why do you need to re-prove something? Why can't you just state the theorem?

– user2768
12 mins ago





Why do you need to re-prove something? Why can't you just state the theorem?

– user2768
12 mins ago










1 Answer
1






active

oldest

votes


















5














It would be a good idea to make it slightly more conspicuous that the theorem (and proof) are not original, e.g.:




The following theorem is due to [5]; for the clarity of our exposition we give a more detailed version of the succinct proof in [5].




This leaves no doubt in the reader's mind that the work is not original, and also explains why you chose to include the proof.






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    1 Answer
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    1 Answer
    1






    active

    oldest

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    active

    oldest

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    active

    oldest

    votes









    5














    It would be a good idea to make it slightly more conspicuous that the theorem (and proof) are not original, e.g.:




    The following theorem is due to [5]; for the clarity of our exposition we give a more detailed version of the succinct proof in [5].




    This leaves no doubt in the reader's mind that the work is not original, and also explains why you chose to include the proof.






    share|improve this answer




























      5














      It would be a good idea to make it slightly more conspicuous that the theorem (and proof) are not original, e.g.:




      The following theorem is due to [5]; for the clarity of our exposition we give a more detailed version of the succinct proof in [5].




      This leaves no doubt in the reader's mind that the work is not original, and also explains why you chose to include the proof.






      share|improve this answer


























        5












        5








        5







        It would be a good idea to make it slightly more conspicuous that the theorem (and proof) are not original, e.g.:




        The following theorem is due to [5]; for the clarity of our exposition we give a more detailed version of the succinct proof in [5].




        This leaves no doubt in the reader's mind that the work is not original, and also explains why you chose to include the proof.






        share|improve this answer













        It would be a good idea to make it slightly more conspicuous that the theorem (and proof) are not original, e.g.:




        The following theorem is due to [5]; for the clarity of our exposition we give a more detailed version of the succinct proof in [5].




        This leaves no doubt in the reader's mind that the work is not original, and also explains why you chose to include the proof.







        share|improve this answer












        share|improve this answer



        share|improve this answer










        answered 1 hour ago









        Tom van der ZandenTom van der Zanden

        1,558513




        1,558513






















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