Har bir talaba o‘zining lmsdagi tartib raqamidagi misolini ishlaydi

2.6. Кombinator tenglamalar

2.6.0.		2.6.1.
2.6.2.		2.6.3.
2.6.4.		2.6.5.
2.6.6.		2.6.7.
2.6.8.		2.6.9.
2.6.10.		2.6.11.
2.6.12.		2.6.13.
2.6.14.		2.6.15.
2.6.16.		2.6.17.
2.6.18.		2.6.19.
2.6.20.		2.6.21.
2.6.22.		2.6.23.
2.6.24.		2.6.25.
2.6.26		2.6.27
2.6.28		2.6.29

0-topshiriqning ishlanishi.

2.6.0.
Tenglamani yechish uchun , va x birdan katta natural son bo‘lishi mumkinligini e’tiborga olib, tenglamada qatnashgan mos koeffitsiyentlarni yuqoridagi formulalarga asoslanib yoyib chiqamiz:

Soddalashtiramiz, surat va maxrajlarda qisqarishi mumkin bo‘lgan faktoriallarni qisqartiramiz.

Tenglamaning ikkala tomonini x*(x+1) ga qisqartiramiz, 12 bilan 4!=1*2*3*4=24 ni qisqartirib, tenglamada ayrim shakl almashtirishlarni amalgam oshirib, quyidagi ko‘rinishga olib kelamiz:
;
.
Kvadrat tenglama yechimlari x₁=-13 bizning shartni (x>1) bajarmaydi Ø, x₂=8 yechim esa kombinator tenglamamiz yechimi bo‘ladi.
1.4. Mantiq funksiyalari uchun chinlik jadvalini tuzish
Ta’rif 1. α formulaning barcha mantiqiy imkoniyatlari va bu mantiqiy imkoniyatlardagi α formulaning qiymatlari keltirilgan jadvaliga rostlik (chinlik) jadvali deyiladi.
Masalan α(A, B, C)= ⌐(A&B)→(A\/B~C) formulaning rostlik jadvalini topish uchun, amallar bajarilish ketma-ketligi:
1) qavs ichidagi amal 2) ⌐ 3) & 4) \/ 5) ~ → e’tiborga olinib birin-ketin amallar bajariladi va formulaning rostlik jadvali topiladi.

A	B	C	A&B	⌐ (A&B)	A\/B	A\/B~C	α(A, B, C)= ⌐(A&B)→(A\/B~C)
0	0	0	0	1	0	1	1
0	0	1	0	1	0	0	0
0	1	0	0	1	1	0	0
0	1	1	0	1	1	1	1
1	0	0	0	1	1	0	0
1	0	1	0	1	1	1	1
1	1	0	1	0	1	0	1
1	1	1	1	0	1	1	1

Quyidagi mantiq algebrasi funksiyalari uchun rostlik jadvallarini tuzing;

1. 
   F(A,B,C)= AB(AC)
   
2. 
   F(A,B,C)=C→(AB)
   
3. 
   F(A,B,C)=A&B→(AB)
   
4. 
   F(A,B,C)=(A&B&C)(A B)
   
5. 
   F(A,B,C)=(AC)B
   
6. 
   F(A,B,C)=(A→B)→C
   
7. 
   F(A,B,C)=(A→B)(B→C)
   
8. 
   F(A,B,C)=A(B→C)B
   
9. 
   F(A,B,C)=(A&BC)
   
10. 
    F(A,B,C)=(AB)(BC)
    
11. 
    F(A,B,C)=(A→C)B
    
12. 
    F(A,B,C)=(BC)→(AC)
    
13. 
    F(A,B,C)=A→(BC)
    
14. 
    F(A,B,C)=(A→B)(B→A)C
    
15. 
    F(A,B,C)=CAB
    
16. 
    F(A,B,C)=A(ABC)(AC)
    
17. 
    F(A,B,C)=(AB)(BAC)
    
18. 
    F(A,B,C)=A(BA)(AC)
    
19. 
    F(A,B,C)=(A→B)&A&C
    
20. 
    F(A,B,C)=(A&B)→(C&A)
    
21. 
    F(A,B,C)=(A&BC)&A&C
    
22. 
    F(A,B,C)=(A&BA&B)&(C→B)
    
23. 
    F(A,B,C)=(AB CABC)AB
    
24. 
    F(A,B,C)=(A→B)&(C→A)
    
25. 
    F(A,B,C)=(AB&CA&C)&B
    
26. 
    F(A,B,C)=(ABC)→AC
    
27. 
    F(A,B,C)=(AB)→(CBA)
    
28. 
    F(A,B,C)=(A→B)(CA)
    
29. 
    F(A,B,C)=(AB)(CB)
    
30. 
    F(A,B,C)=((AB)C)→A((BC)(AC)