University:
Brown University
Course:
PHYS 0050 | Foundations of Mechanics
Academic year:

2024
Views:

450

Pages:

2
Author:

Jabin F.

Bodean Theorem :- 1. x+0 = 2x additive identity 2. 21.1 = multiplicative identity 3. = 1 f+f = 1 ab+ab=1 (prove lateron) 4. 21.x=0 f. f = 0 5. 2x.x = 2X 9.9.9.6.6 0.6 6. f+1=1 i.e 1+ Kuch Bhi = 1 7. 1+1+1= 2x ab+ab+ab=ab # Distributive law→ (a+bc = (a+b)(a+c)) = a.a+a.c+ ba+bc = a + ac+ ab + bc a(1+c+b)+bc a+bc = = # Demorgan's law :- Used for Boolean Simplitiat 1. 9.6 = a+b 2 a+b = 3. a+b+c = a.b. 4. 2.9.2 = x+y+z # Transposition Theorem: abtāc = (a+c)(a+b)→ proof 2 (a+c)(a+b) ab+ab = ab + аб aa+ab+ac+bc ac + ab + bc ac + ab