James H Hong
To #1 P/NP question Me James H Hong: A: Ex: Result-wise, so all P are within NP (1+1=2 is a law. so extension all computations are made of laws. so machine computation are laws, facts. Logic is also a law-based.).B: but NP is larger than P like Pythagorean theorem (NP) proof. Result wise all P are within NP,, but C: if reverse process wise is required like x+y=3 find x and y, then NP and P are not equal.
James H Hong To #2 Hodge conjecture: Me James H Hong: A. a function gives a line, such as y=x is a linear line. B: for a plane, 3-D, examples are z=x+y and z=x^2+y^2. C: set x=a+bi and y=c+di ;; while b and d can be zero.D: set Z= x+ y while: d/dx f(x) = x while d/dy g(y)=y plug in x and y;; into z=x+y;; z= d/dx f(x)+ d/dy g(y) while f(x)=1/2x^2 and g(y)=1/2y^2.James H Hong Extra to Hodge conjecture: y= x;; integral of y= x is area under the line, is Area(y') = 1/2 x(y), while x=y, =1/2(x^2), Integral of line is area;; E: Integral of area formula= Volume: Ex. Integral of 4 pi R^2= 4/3 pi R^3.
James H Hong To #3 Riemann hypothesis: Me: A: When infinity is applied, infinite number of the value is infinity so real number is not 1/2. B: Imaginary number, i, i = root 2 of (-1), does not exist in real life. James H Hong
To #4 or #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 infinite number of solutions. Solved.
James H Hong To #5 Navier Stokes Equation: In the first equation: Me: A: g is downward acceleration by weight in y-axis, what about x-axis flow? Du/Dt is the flow acceleration in what direction? usually fluid is supported by the base. B: Directions of acceleration created by stress are unknown. C: Cauchy momentum equation is not a momentum equation; it is a pressure equation.D: Of Linear stress constitutive equation,, strain(du) =1/2(du)+1/2(duT) is a very questionable, maybe wrong.
James H Hong To #4 or #6; Yang–Mills existence and mass gap: Me: so gluons either have mass or do not have mass; Assume Mass gap says, it has both yes mass and no mass. making a mistake? B: I suggest conducting experiments
James H Hong To＃1 P / NP問題我James H Hong：A：Ex：結果方面，因此所有P都在NP內（1 + 1 = 2是一個定律。所以擴展所有的計算都是由法律構成的。所以機器計算是法則，事實。邏輯也是一種以法律為基礎的。）B：但NP大於P，如畢達哥拉斯定理（NP）證明。結果明智地，所有P都在NP內，但是C：如果需要反向處理，如x + y = 3找到x和y，則NP和P不相等。
James H Hong To＃2 Hodge猜想：我James H Hong：A。函數給出一條線，例如y = x是一條直線。 B：對於平面，3-D，示例是z = x + y並且z = x ^ 2 + y ^ 2。 C：設定x = a + bi和y = c + di ;;而b和d可以為零.D：設置Z = x + y而：d / dx f（x）= x而d / dy g（y）= y插入x和y ;;進入z = x + y ;; z = d / dx f（x）+ d / dy g（y）而f（x）= 1 / 2x ^ 2且g（y）= 1 / 2y ^ 2.James H Hong Extra to Hodge猜想：y = X;; y = x的積分是線下的面積，是Area（y'）= 1/2 x（y），而x = y，= 1/2（x ^ 2），line的積分是面積;; E：面積公式的積分=體積：Ex。 4 pi R ^ 2 = 4/3 pi R ^ 3的積分。
James H Hong To＃3 Riemann假設：Me：A：當應用無窮大時，無窮大的數值是無窮大，因此實數不是1/2。 B：虛數，i，i =（-1）的根2，在現實生活中不存在。詹姆斯H洪
＃4或＃6 Birch和Swinnerton-Dyer猜想：Me：A：ecliptical曲線= y ^ {2} = x ^ {3} + ax + b B：當a = 0 b = 0 y ^ 2 = x ^ 3 ;; y = x ^（3/2）則y和x具有無限數量的解。解決了。
James H Hong To＃5 Navier Stokes方程式：在第一個等式中：Me：A：g是y軸下的重量向下加速度，x軸流量是多少？ Du / Dt是什麼方向的流動加速度？通常流體由基座支撐。 B：壓力造成的加速方向未知。 C：Cauchy動量方程不是動量方程;它是一個壓力方程.D：線性應力本構方程，應變（du）= 1/2（du）+1/2（duT）是一個非常值得懷疑的，也許是錯誤的。 James H Hong
To＃4或＃6; Yang-Mills存在和質量差距：我：所以膠子要么質量要么沒有質量;假設質量差距說，它既有質量也有質量。犯錯？ B：我建議進行實驗
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