64次元【不等式吧】

对非负数a、b、c、d，猜有：4*((a+b)*(a*b+c*d)-2*a*b*(c+d))*((c+d)*(c*d+a*b)-2*c*d*(a+b))≤b*c*((a-d)^2+(b*a+c*d-2*a*d))^2+a*d*((b-c)^2+(a*b+d*c-2*b*c))^2+a*c*((b-d)^2+(a*b+c*d-2*b*d))^2+b*d*((a-c)^2+(b*a+d*c-2*a*c))^2、(b*c+a*d)(b-c)^2*(a-d)^2+(a*c+b*d)*(a-c)^2*(b-d)^2≤b*c*((a-d)^2+(b*d+c*a-2*a*d))^2+a*d*((b-c)^2+(a*c+d*b-2*b*c))^2+a*c*((b-d)^2+(a*d+c*b-2*b*d))^2+b*d*((a-c)^2+(b*c+d*a-2*a*c))^2．

只升１次可行否？

64次元是什么意思

都乘 (a+b+c+d)
1/2 (-a^4 b c d+a^2 b^3 c d)^2+1/2 (a^3 b^2 c d-a b^4 c d)^2+1/8 (a^3 b c^2 d-a b^3 c^2 d)^2+1/16 (4 a^5 b d-4 a^3 b^3 d-7 a^3 b c^2 d+7 a b^3 c^2 d)^2+1/16 (4 a^3 b^3 d-4 a b^5 d-7 a^3 b c^2 d+7 a b^3 c^2 d)^2+5/16 (a^2 c^4 d-b^2 c^4 d)^2+5/16 (a^4 b c^2-a^4 b d^2)^2+(-1207 a^4 b c^2+5047 a^2 b^3 c^2+329 a^4 b d^2-4169 a^2 b^3 d^2)^2/10336256+(439 (-5 a^4 b c^2-7 a^4 b d^2+12 a^2 b^3 d^2)^2)/80752+(439 (-5 a b^4 c^2+12 a^3 b^2 d^2-7 a b^4 d^2)^2)/80752+5/16 (a b^4 c^2-a b^4 d^2)^2+(5047 a^3 b^2 c^2-1207 a b^4 c^2-4169 a^3 b^2 d^2+329 a b^4 d^2)^2/10336256+1/8 (a^3 b c d^2-a b^3 c d^2)^2+1/16 (4 a^5 b c-4 a^3 b^3 c-7 a^3 b c d^2+7 a b^3 c d^2)^2+1/16 (4 a^3 b^3 c-4 a b^5 c-7 a^3 b c d^2+7 a b^3 c d^2)^2+(-29 a^3 b^2 c^2+29 a b^4 c^2-29 a^3 b^2 d^2+29 a b^4 d^2+128 a^3 c^2 d^2-128 a b^2 c^2 d^2)^2/2048+(29 a^4 b c^2-29 a^2 b^3 c^2+29 a^4 b d^2-29 a^2 b^3 d^2-128 a^2 b c^2 d^2+128 b^3 c^2 d^2)^2/2048+1/8 (4 a^4 b^2 c-4 a^2 b^4 c-7 a^2 c^3 d^2+7 b^2 c^3 d^2)^2+1/8 (a^2 b c^3 d-a^2 b c d^3)^2+1/8 (a b^2 c^3 d-a b^2 c d^3)^2+1/2 (-a b c^4 d+a b c^2 d^3)^2+(-1207 a^2 c^4 d+329 b^2 c^4 d+5047 a^2 c^2 d^3-4169 b^2 c^2 d^3)^2/10336256+(-128 a^2 b^2 c^2 d+29 a^2 c^4 d+29 b^2 c^4 d+128 a^2 b^2 d^3-29 a^2 c^2 d^3-29 b^2 c^2 d^3)^2/2048+1/8 (4 a^4 b^2 d-4 a^2 b^4 d-7 a^2 c^2 d^3+7 b^2 c^2 d^3)^2+(439 (-5 a^2 c^4 d-7 b^2 c^4 d+12 b^2 c^2 d^3)^2)/80752+1/16 (-7 a b^2 c^3 d+4 a c^5 d+7 a b^2 c d^3-4 a c^3 d^3)^2+1/16 (-7 a^2 b c^3 d+4 b c^5 d+7 a^2 b c d^3-4 b c^3 d^3)^2+1/2 (a b c^3 d^2-a b c d^4)^2+(439 (12 b^2 c^3 d^2-5 a^2 c d^4-7 b^2 c d^4)^2)/80752+5/16 (a^2 c d^4-b^2 c d^4)^2+(128 a^2 b^2 c^3-128 a^2 b^2 c d^2-29 a^2 c^3 d^2-29 b^2 c^3 d^2+29 a^2 c d^4+29 b^2 c d^4)^2/2048+(5047 a^2 c^3 d^2-4169 b^2 c^3 d^2-1207 a^2 c d^4+329 b^2 c d^4)^2/10336256+1/8 (-7 a^3 b^2 c^2+7 a^3 b^2 d^2+4 a c^4 d^2-4 a c^2 d^4)^2+1/8 (-7 a^2 b^3 c^2+7 a^2 b^3 d^2+4 b c^4 d^2-4 b c^2 d^4)^2+1/16 (-7 a b^2 c^3 d+7 a b^2 c d^3+4 a c^3 d^3-4 a c d^5)^2+1/16 (-7 a^2 b c^3 d+7 a^2 b c d^3+4 b c^3 d^3-4 b c d^5)^2
39/62 (-a^4 b c d+a^2 b^3 c d)^2+39/62 (a^3 b^2 c d-a b^4 c d)^2+185/174 (a^3 b c^2 d-a b^3 c^2 d)^2+74/87 (a^2 c^4 d-b^2 c^4 d)^2+74/87 (a^4 b c^2-a^4 b d^2)^2+(-179 a^4 b c^2+214 a^2 b^3 c^2+157 a^4 b d^2-192 a^2 b^3 d^2)^2/11984+(11 (-5 a^4 b c^2-53 a^4 b d^2+58 a^2 b^3 d^2)^2)/49648+(11 (-5 a b^4 c^2+58 a^3 b^2 d^2-53 a b^4 d^2)^2)/49648+74/87 (a b^4 c^2-a b^4 d^2)^2+(214 a^3 b^2 c^2-179 a b^4 c^2-192 a^3 b^2 d^2+157 a b^4 d^2)^2/11984+185/174 (a^3 b c d^2-a b^3 c d^2)^2+1/16 (4 a^5 b c-3 a^3 b^3 c-a b^5 c-2 a^3 b c^3+a b^3 c^3-6 a^3 b c d^2+7 a b^3 c d^2)^2+1/240 (15 a^3 b^3 c-15 a b^5 c-2 a^3 b c^3+7 a b^3 c^3-22 a^3 b c d^2+17 a b^3 c d^2)^2+3/28 (-2 a^3 b^2 c^2+2 a b^4 c^2-2 a^3 b^2 d^2+2 a b^4 d^2+7 a^3 c^2 d^2-7 a b^2 c^2 d^2)^2+3/28 (2 a^4 b c^2-2 a^2 b^3 c^2+2 a^4 b d^2-2 a^2 b^3 d^2-7 a^2 b c^2 d^2+7 b^3 c^2 d^2)^2+1/16 (4 a^5 b d-3 a^3 b^3 d-a b^5 d-6 a^3 b c^2 d+7 a b^3 c^2 d-2 a^3 b d^3+a b^3 d^3)^2+1/240 (15 a^3 b^3 d-15 a b^5 d-22 a^3 b c^2 d+17 a b^3 c^2 d-2 a^3 b d^3+7 a b^3 d^3)^2+185/174 (a^2 b c^3 d-a^2 b c d^3)^2+(-1566 a^3 b^2 c d+1566 a b^4 c d+248 a b^2 c^3 d+2697 a^3 c d^3-2945 a b^2 c d^3)^2/4487808+185/174 (a b^2 c^3 d-a b^2 c d^3)^2+(-90 a^3 b^2 c d+90 a b^4 c d+208 a^3 c^3 d-232 a b^2 c^3 d-53 a^3 c d^3+77 a b^2 c d^3)^2/24960+(90 a^4 b c d-90 a^2 b^3 c d-232 a^2 b c^3 d+208 b^3 c^3 d+77 a^2 b c d^3-53 b^3 c d^3)^2/24960+(1566 a^4 b c d-1566 a^2 b^3 c d+248 a^2 b c^3 d-2945 a^2 b c d^3+2697 b^3 c d^3)^2/4487808+(248 a^3 b c^2 d-2945 a b^3 c^2 d+1566 a b c^4 d+2697 a b^3 d^3-1566 a b c^2 d^3)^2/4487808+(-232 a^3 b c^2 d+77 a b^3 c^2 d+90 a b c^4 d+208 a^3 b d^3-53 a b^3 d^3-90 a b c^2 d^3)^2/24960+39/62 (-a b c^4 d+a b c^2 d^3)^2+(-179 a^2 c^4 d+157 b^2 c^4 d+214 a^2 c^2 d^3-192 b^2 c^2 d^3)^2/11984+3/28 (-7 a^2 b^2 c^2 d+2 a^2 c^4 d+2 b^2 c^4 d+7 a^2 b^2 d^3-2 a^2 c^2 d^3-2 b^2 c^2 d^3)^2+1/24 (6 a^4 b^2 d-6 a^2 b^4 d-a^2 c^4 d+b^2 c^4 d-12 a^2 c^2 d^3+12 b^2 c^2 d^3)^2+(11 (-5 a^2 c^4 d-53 b^2 c^4 d+58 b^2 c^2 d^3)^2)/49648+39/62 (a b c^3 d^2-a b c d^4)^2+(208 a^3 b c^3-53 a b^3 c^3-232 a^3 b c d^2+77 a b^3 c d^2-90 a b c^3 d^2+90 a b c d^4)^2/24960+(2697 a b^3 c^3+248 a^3 b c d^2-2945 a b^3 c d^2-1566 a b c^3 d^2+1566 a b c d^4)^2/4487808+(11 (58 b^2 c^3 d^2-5 a^2 c d^4-53 b^2 c d^4)^2)/49648+74/87 (a^2 c d^4-b^2 c d^4)^2+1/24 (6 a^4 b^2 c-6 a^2 b^4 c-12 a^2 c^3 d^2+12 b^2 c^3 d^2-a^2 c d^4+b^2 c d^4)^2+3/28 (7 a^2 b^2 c^3-7 a^2 b^2 c d^2-2 a^2 c^3 d^2-2 b^2 c^3 d^2+2 a^2 c d^4+2 b^2 c d^4)^2+(214 a^2 c^3 d^2-192 b^2 c^3 d^2-179 a^2 c d^4+157 b^2 c d^4)^2/11984+1/24 (-12 a^3 b^2 c^2-a b^4 c^2+12 a^3 b^2 d^2+a b^4 d^2+6 a c^4 d^2-6 a c^2 d^4)^2+1/24 (-a^4 b c^2-12 a^2 b^3 c^2+a^4 b d^2+12 a^2 b^3 d^2+6 b c^4 d^2-6 b c^2 d^4)^2+1/240 (-2 a^3 c^3 d-22 a b^2 c^3 d+7 a^3 c d^3+17 a b^2 c d^3+15 a c^3 d^3-15 a c d^5)^2+1/16 (-2 a^3 c^3 d-6 a b^2 c^3 d+4 a c^5 d+a^3 c d^3+7 a b^2 c d^3-3 a c^3 d^3-a c d^5)^2+1/240 (-22 a^2 b c^3 d-2 b^3 c^3 d+17 a^2 b c d^3+7 b^3 c d^3+15 b c^3 d^3-15 b c d^5)^2+1/16 (-6 a^2 b c^3 d-2 b^3 c^3 d+4 b c^5 d+7 a^2 b c d^3+b^3 c d^3-3 b c^3 d^3-b c d^5)^2

日	一	二	三	四	五	六

64次元

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