The answers to the seven millennium prize problems are all depending on either the upper bound or lower bound, left limit or right limit, inside view or outside view, front door or back door approaches...

1. 宿迁 2015 年 3 月
SQC
航模提高课程
Model Aircraft Colloquia
3.27.2015 Friday
Millennium Prize Puzzle
Jun Steed Huang
15862930930@163.com
宿迁 2015 年 3 月

2. 宿迁 2015 年 3 月
SQC
航模提高课程
Millennium 7 Prize Problems
1. P=NP Can the dispatcher be lazy ？ 1970s
2. Hodge Can high dim space be decomposed ？
1930s
3. Poincare Apple is not same as donut ！ 1900s
4. Riemann Is prime distribution regular ？ 1850s
5. Yang-Mills There is always a ghost ！？
1950s
6. Navier-Stokes How many solutions ? 1820s
7. Birch Swinnerton-Dyer : Only oval fly!

3. 宿迁 2015 年 3 月
SQC
航模提高课程
NP up bound NP/ != P
1. P=NP? Can the dispatcher be lazy ？
If there is an algorithm (such as a Turing machine, or a LISP
or Pascal program with unlimited memory), the correct
answer can be given for a string of length n inputs in the
most n ^ k steps, where k is an independent In the input
string of constants, then we call the problem can be solved in
the polynomial time, and it is placed in class P. Most
computer scientists believe that P ≠ NP. No one can find a
polynomial time algorithm for a non-deterministic (non-
deterministic) Polynomial complete problem.

4. 宿迁 2015 年 3 月
SQC
航模提高课程
NP lower bound /NP = P
1971 by UoT
Professor
Stephen A. Cook
et al

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SQC
航模提高课程
2. Hodge Can high dim space be
decomposed ？
Whether the shape of a given object can be formed by bonding a
simple geometric building block with increasing numbers of
dimensions. In this promotion, the geometric starting point of
the program becomes blurred and must be added without any
geometric interpretation of the parts. Hodge's conjecture that
Hodge's closed-chain components are a rational combination of
geometric components called algebraic closed chains for the
particularly perfect spatial type of projective algebra clusters.
1935 by W. V. D. Hodge
Shinichi MochizukiIUT HC/ !=
Q

6. 宿迁 2015 年 3 月
SQC
航模提高课程
Shinichi MochizukiIUT /HC =
Q

7. 宿迁 2015 年 3 月
SQC
航模提高课程
道生一，一生二
3. Poincare Apple is not same as
donut ！
In 1904, Poincare put forward a seemingly simple
topology of the conjecture: in a three-
dimensional space, if each closed curve can
shrink to a little, then this space must be a
three-dimensional ball. But in 1905 found the
error, modified as: "Any n-dimensional
spherical with n-dimensional closed manifold
must be homologous in the n-dimensional
sphere." Later, this conjecture was extended to
more than three-dimensional space, known as
the "high-dimensional Poincare guess. "

8. 宿迁 2015 年 3 月
SQC
航模提高课程
二生三，三生万
More than equal to the five - dimensional Poincaré conjecture proved by Stephen
Smell;
The four-dimensional Poincaré conjecture was confirmed by Michael Friedman;
Three-dimensional Poincare conjecture proved by the Russian mathematician
Perelman;
They were awarded the 1961, 1986 and 2006 Fields Award respectively.
亏格 0 1 2 3

9. 宿迁 2015 年 3 月
SQC
航模提高课程
Our Integel Complexity
n/ > /n > log2(n)
4. Riemann Is prime distribution regular ？
！
German mathematician Riemann (1826 ~ 1866)
observes that the frequency of prime numbers is
closely related to the structure of a well-constructed
Riemannian zeta function ζ (s). The Riemann
hypothesis asserts that all meaningful solutions of
the equation ζ (s) = 0 are on a 1/2 line: Root line!

10. 宿迁 2015 年 3 月
SQC
航模提高课程
Prime Fibonacci
P(F) = 1 mod(4)

11. 宿迁 2015 年 3 月
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航模提高课程
Space is not empty where
ghost particle hide
5. Yang-Mills There is always a ghost ！？
！
In 1954, Yang Zhenning and Mills proposed
Yang - Mills norms theory, put forward the
theory of gauge field. The theory will
produce particles that carry the force, with
charge but no mass! However, the difficulty
is that if the charged particles are of no mass,
then why is there no experimental evidence?
And if the particle is assumed to be of mass,

12. 宿迁 2015 年 3 月
SQC
航模提高课程
Space is made of ghost
mass
杨振宁

13. 宿迁 2015 年 3 月
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MH370 Ns/ != S
6. Navier-Stokes How many
solutions
French engineer Navier and the British mathematician
Stoke, the sticky items are also taken into account is
the Navier-Stoke equation. Since 1943 the French
mathematician Leray proved that the solution of the
whole time after the weak solution, is the solution
unique? The result is that the strong solution is
unique. So this question becomes: the whole
solutions? Is it proof that the solution will burst in a
limited time? To solve this problem contribute to the
navigation project, especially turbulence killed
MH370 (turbulence)!

14. 宿迁 2015 年 3 月
SQC
航模提高课程
Fractal /Ns = S
Navier - Stokes is currently only about a hundred special
solution is solved. The nonlinearity is due to convection
acceleration (the acceleration associated with the point
velocity change), so any convection will involve nonlinearity
regardless of whether the turbulence or not.

15. 宿迁 2015 年 3 月
SQC
航模提高课程
All Ellipses Key/ = 1/0
7. Birch Swinnerton-Dyer Only oval
fly ？
Refers to the rank of any elliptic curve on the rational
domain, where the L function is equal to the order
of the Abel group. When the solution is an Abelian
point, Beech and Sternon - Dell guessed that: the
rationality of the group size with a related Zeta
function z (s) at point s = 1 near the state: If z is
equal to 0, then there are infinite number of rational
points (solution), on the contrary, if z is not equal to
0, then there are only a limited number of such
points. 1960s.

16. 宿迁 2015 年 3 月
SQC
航模提高课程
ECC /Key = p/q
Elliptic encryption
algorithm (ECC) is a
public key cryptography
system, originally
proposed by Koblitz and
Miller in 1985, whose
mathematical basis is to
use the rational points on
elliptic curves to
compute the
computational
complexity of elliptic
discrete logarithms on
Abel addition groups The

17. 宿迁 2015 年 3 月
SQC
航模提高课程
航模 Colloquia
Thank you for watching this
presentation!
谢谢邹青，黄佳敏，姚成，孙晨旭，
韩学波，沙龙，周嘉宇的协助。
宿迁 2015 年 3 月