logo

Mathematical Proofs: Sum of Odd Numbers, Inequalities, and Divisibility

   

Added on  2019-09-26

12 Pages1564 Words348 Views
Ans:a)PQ(P VQ)!P(!P -> Q)(P V Q) <-> (!P -> Q)TTTFTTTFTFTTFTTTTTFFFTFTb)PQ(P -> Q)!P!Q!Q -> !P(P -> Q) ^ (!Q->!P)(Q ->P)((P -> Q) ^ (!Q->!P) )-> (Q ->P)TTTFFTTTTTFFFTFFTTFTTTFTTFFFFTTTTTTTc)PQ(P VQ)!Q(P V Q) ^ !Q((P V Q) V^!Q ) - > PTTTFFTTFTTTTFTTFFTFFFTFT

d)PQ(P -> Q)(P -> Q) ^ P((P -> Q ) ^ P )-> QTTTTTTFFFTFTTFTFFTFTAns: a)PQRP V Q(P V Q) -> R!P(Q V R)!P <-> (Q V R)((P V Q) -> R) ^ (!P <-> (QV R))TTTTTFTFFTTFTFFTFFTFTTTFTFFTFFTFFFTFFTTTTTTTTFTFTFTTTTFFTFTTTTTFFFFTTFFF

b) PQRQ V RP ^ (QV R)P ^ QP ^ R(P ^ Q) V (P ^ R)((P^(Q V R)) <-> ((P^Q V (P ^ R))TTTTTTTTTTTFTTTFTTTFTTTFTTTTFFFFFFFTFTTTFFFFTFTFTFFFFTFFTTFFFFTFFFFFFFFTAns:

End of preview

Want to access all the pages? Upload your documents or become a member.

Related Documents
Importance of Gender Equality in Leadership and Management
|9
|962
|50

Desklib - Online Library for Study Material
|207
|16045
|382

{'. %sx. s8L. a. 3,. C-. L 5a. o. ol. w. tra,8+. rY. 5o
|6
|1027
|5

Emerging Technologies and Competitive Advantage
|6
|1452
|325

Cryptography Assignment | Doc
|6
|741
|19

Cryptography Tutorial with Examples and Exercises - Desklib
|20
|3498
|416