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f(x,y)=3(x+y)+32xy f(x,y)=3(x+y)-32xy f(x,y)=3(x+y)-16xy f(x,y)=3(x+y)+16xy
f(x,y)=3(x+y)+32xy f(x,y)=3(x+y)-32xy f(x,y)=3(x+y)-16xy f(x,y)=3(x+y)+16xy
1-xy+y2 1+xy+y2 1-x2y+y2 1+x2y+y2
f(x,y)=3(x+y)+32xy f(x,y)=3(x+y)-32xy f(x,y)=3(x+y)-16xy f(x,y)=3(x+y)+16xy
f(x,y)=3(x+y)+32xy f(x,y)=3(x+y)-32xy f(x,y)=3(x+y)-16xy f(x,y)=3(x+y)+16xy
若X→Y,X→Z,则X→YZ 若XY→2,则X→Z,Y→2 若X→Y,Y→Z,则X→2 若x→Y,Y' Y,则X→Y'
x2 –2xy+y2=x(x-2y)+y2 x2-16y2=(x+8y)(x-8y)
x2+xy+y2=(x+y)2 x4y4-1=(x2y2+1)(xy+1)(xy-1)
f(x,y)=3(x+y)+32xy f(x,y)=3(x+y)-32xy f(x,y)=3(x+y)-16xy f(x,y)=3(x+y)+16xy
无流函数 φ=y2-x2-x φ=2xy-y φ=2xy+y
f(x,y)=3(x+y)+32xy f(x,y)=3(x+y)-32xy f(x,y)=3(x+y)-16xy f(x,y)=3(x+y)+16xy
2x2-xy-x=2x(x-y-1) -xy2+2xy-3y=-y(xy-2x-3) x(x-y)-y(x-y)=(x-y)2 x2-x-3=x(x-1)-3