- 1. Print graphics
- 2. MadLibs
- 3. Calculator
- 4. Applications
- 5. Numbers
- 6. Conjectures
- 7. StudentMIS
- 8. Tickets System
- 9. Sequence List Basic System
- 10. Sequence List Application System
- 11. Link List Basic System
- 12. Link List Application System
- 13. Complexity of Algorithms
- 14. Queue Application System
- 15. Stack Application System
- 16. Sparse Matrix System
- 17. Triangular Matrix System
- 18. Idioms Solitaire(成语接龙)
- 19. Binary Tree System
- 20. Huffman Tree System
- 21. Graph System
- 22. BitOperation
- 23. BigNumber
- More to be coming...
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Projects of C++
C++ Programming and Object-Oriented Design
Project 6. Conjecturses & Theorems
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Name: Conjecture & Theorems
Copyright: Seng Dewen
Author: Seng Dewen
Date: Sept. 16, 2020
Description: Different Kinds of Prime Numbers, Conjecture & Theorems.
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1. Goldbach's Conjecture(哥德巴赫猜想)
For any even number N greater than or equal to 4, there exists at least one pair of prime numbers p1 and p2 such that N = p1 + p2.
2. CollatzConjecture(考拉兹猜想)
Take any positive number: if it's even you divide it by 2 and if it's odd multiply it by 3 and add 1. Repeat this process indefinitely, no matter what number you start with, you will always end up at 1. The conjecture remains stubbornly unproven. Mathematics is not yet ready for such problems.
3. Nico Chester Theorem(尼彻斯特定理)
Any integer to the third power can be represented as the sum of a series of consecutive odd Numbers.
4. Four Square Theorem(四平方数和定理)
Four-square Theorem: Each positive integer may be expressed as the sum of the squares of four integers.
5. Sieve of Eratosthenes(埃拉托斯特尼筛选法找质数)
6. Bride & Groom(新娘和新郎)
There are 3 brides (A, B, C) and 3 grooms (X, Y, Z).
A: I will marry X.
X: My fiance is C.
C: I will marry Z.
It is known that they are all kidding.
Then, do you know who and who are a couple?
7. Truth or Lie(真实或谎言)
Ben says that Bob is lying.
Bob says that Bill is lying.
Bill says that they are all lying.
Then, do you know who is lying?
8. Exit
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