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by: Lindsay Ross

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# CS 064 Week 4 Notes CS 064

Lindsay Ross
UVM
GPA 3.8

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Week 4 of notes
COURSE
Discrete Structures
PROF.
TYPE
Class Notes
PAGES
3
WORDS
CONCEPTS
Discrete Mathematics, Discrete Structures, Mathematics, logic, Computer Science
KARMA
25 ?

## Popular in ComputerScienence

This 3 page Class Notes was uploaded by Lindsay Ross on Tuesday February 16, 2016. The Class Notes belongs to CS 064 at University of Vermont taught by in Winter 2016. Since its upload, it has received 24 views. For similar materials see Discrete Structures in ComputerScienence at University of Vermont.

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Date Created: 02/16/16
CS 064 Notes 02/09/16  Tauntology- something that’s always true  Ex. x ∨¬ x, by theorem 7.2  (x ∨¬ x ) ∧(y  y) =T ∧( y  y) ; by Theorem 7.2 (x ∨¬ x) =T ∧(¬ y ∨ y) ; by proposition 7.3 (x  y¬= x ∨ y) = T ∧( y ∨¬ y) ; by commutative property of ∨ =T∧T ; by Theorem 7.2 (x ∨ ¬ x) = T ; definition of ∧  Theorem 8.6: The number of lists of length k, where elements are chosen krom a pool of n possible elements: o n if repetitions are allowed o n (k)f repetitions are not allowed, where(k)=(n-1)*(n-2)*(n-3)*(n- 4)…*(n-(k-1))  ex. arranging tiles A, B, C, D, E, F, G 7*6*5*4*3*2*1 0 1 2 3 4  Truncated Geometric Series: n +n +n +n …+n ∫k= (xk+-1)/1  Geomewric Series Let x ∈ , |x|<1 ∫= ∑ x = x +x +x +x …+x k j= 0 1 2 3 k ∫=1+x0x +x +x +x …+x ) ∫=1+x( ∫ ) ∫-x( ∫ ) = 1 ∫ (1 - x) = 1 ∫ = 1/(1 - x)

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