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Chapter 8 Solving Millennium Prize Problems Millennium

                   Challenge (in math).
                   James H Hong To#1 P / NP question I James H Hong: A: Ex:

                   results, so all P are in NP (1 + 1 = 2 is a law. So extending all
                   calculations is made up of law So machine computing is the law,

                   the fact that logic is also a law-based one.) B: But NP is greater
                   than P, as evidenced by Pythagorean theorem (NP). As a result,

                   wisely, all Ps are within the NP, but C: if reverse processing is
                   required, such as x + y = 3 to find x and y, then NP and P are not
                   equal

                   .
                   James H Hong To#2 Hodge guess: I am James H Hong: A. The

                   function gives a line, for example y = x is a straight line. B: For
                   a plane, 3-D, the example is z = x + y and z = x ^ 2 + y ^ 2. C:

                   set x = a + bi and y = c + di ;; and b and d can be zero. D: set Z
                   = x + y and: d / dx f(x) = x and d / dy g (y ) = y insert x and y ;;

                   enter z = x + y ;; z = d / dx f(x) + d / dy g(y) and f(x) = 1 / 2x ^ 2
                   and g(y) = 1 / 2y ^ 2.James H Hong Extra to Hodge conjecture:
                   y = X;; y = x is the area under the line, is Area(y') = 1/2 x(y),

                   and x = y , = 1/2 (x ^ 2), the integral of line is the area;; E: the
                   integral of the area formula = volume: Ex. 4 pi R ^ 2 = 4/3 pi R

                   ^ 3 integral.

                   James H Hong To#3 Riemann hypothesis: Me: A: When

                   applying infinity, the infinity value is infinite, so the real
                   number is not 1/2. B: imaginary number, root 2 of i, i = (-1),

                   does not exist in real life. James H Hong


                   #4或#6 Birch and Swinnerton-Dyer Conjecture: Me: A:
                   ecliptical curve = y ^ {2} = x ^ {3} + ax + b B: when a = 0 b = 0

                   y ^ 2 = x ^ 3 ;; y = x ^(3/2) then y and x have an infinite number
                   of solutions. solved.
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