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Concise Encyclopedia of Mathematics

Eric W. Weisstein

edition 1.0, May 20, 1999

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# A B C D E F G H I J K L M
N O P Q R S T U V W X Y Z

Complex

complex - complex math
  1. complex2D
    1. re2D(log(x)) show 2 curves of real and imag values in real domain.
    2. im2D(log(x)) show 2 curves of real and imag values in imag domain.
    3. for complex 2 curves of real and imag values in real and imag domain.
    4. complex coloring
    5. color WebXR surface of complex function on complex plane
    6. complex animate(z) or complex2D(z) for phase animation in complex plane, the independent variable must be z.
    7. complex plot(z) for phase and/or modulus in complex plane, the independent variable must be z.
    8. plot complex(z) for phase and/or modulus in complex plane, the independent variable must be z.
  2. complex3D
    1. complex function
    2. Complex Branches
    3. Riemann surface
    4. complex3D(x) for 3 dimensional graph in real, imag and complex domain, where the independent variable must be x.

References

  1. math handbook content 2 chapter 10 complex function
  2. math handbook content 3 chapter 10 complex function
  3. math handbook content 4 chapter 10 complex function
  4. Complex analysis
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d0.5ydx0.5=sin(x-1)sin(y-1) == ? d0.5ydx0.5-cosh(y)-sinh(y)=0 == ? d1.6ydx1.6-y(x)(dx)0.8-y-exp(x)=0 == ? y(x)(dx)0.5-y-exp(x)=0 == ? d0.5ydx0.5-exp(y)x=0 == ? d0.5ydx0.5-exp(y)y=0 == ? d0.5ydx0.5=cos(x)xy == ? ydy0.5dx0.5-x-1=0 == ? d1.2ydx1.2-2d0.6ydx0.6+y-exp(x)=0 == ? d0.5ydx0.5=cos(y)exp(x)x == ? d1.6ydx1.6-2d0.8ydx0.8+y-exp(x)=0 == ? d0.5ydx0.5-exp(y)x=0 == ? d1.6ydx1.6-3d0.8ydx0.8+2y-exp(x)=0 == ? d0.5ydx0.5 +log(y-1)-exp(x)-x=0 == ? d0.5ydx0.5-exp(y)sin(x)=0 == ? d0.5ydx0.5=ysin(x)x == ? y(0.5)(x)-4exp(x)y-exp(x)=0 == ? dy0.5dx0.5=1x-y == ? dydx-d0.5ydx0.5 - y - exp(x)=0 == ? dydx-exp(y-1)-x-x2=0 == ? d1.2ydx1.2-3dy0.6dx0.6+2y-exp(x)=0 == ? dydx-d0.5ydx0.5-y-1=0 == ? d0.5ydx0.5-cos(y)sin(x)=0 == ? d1.6ydx1.6-d0.8ydx0.8-y-exp(4x)=0 == ? dydx-exp(y-1)-exp(x)=0 == ? dydx-2d0.5ydx0.5-y-exp(x)=0 == ? d1.6ydx1.6-d0.8ydx0.8-y-exp(x)=0 == ? d0.5ydx0.5-e4x-y=0 == ? y(0.5)(x)-exp(x)y-exp(x)=0 == ? y(0.5)(x)-exp(x)y-4exp(x)=0 == ? dydx-3d0.5ydx0.5+2y-exp(x)=0 == ? yd0.5ydx0.5-x-1=0 == ? y(1)(x)-exp(y-1)-x=0 == ? d1.6ydx1.6-d0.8ydx0.8-2y-exp(x)=0 == ? d1.6ydx1.6-d0.8ydx0.8-y-exp(4x)=0 == ? d0.5ydx0.5-log(y-1)-exp(x)+x=0 == ? dydx+asin(y-1)-cos(x)-x=0 == ? d1.6ydx1.6-3d0.8ydx0.8+2y-exp(x)=0 == ? dydx-y-1-x-1=0 == ? dydx-exp(y-1)-exp(x)=0 == ? dydx +asinh(y-1)-cosh(x)-x =0 == ? (d12ydx12)2-3ydy0.5dx0.5+2y2=0 == ? dy0.5dx0.5=cos(x)cos(y-1) == ? d0.5ydx0.5+log(y-1)-exp(x)-x=0 == ? dy0.5dx0.5=sin(x-1)exp(y-1) == ? yd2ydx2-(dydx)2+1=0 == ? y(1)(x)-exp(y-1)-log(x)=0 == ? d2ydx2exp(x)-exp(y-1)=0 == ? d1.6ydx1.6-2d0.8ydx0.8-y-exp(x)=0 == ? d1.6ydx1.6-2d0.8ydx0.8+y-exp(x)=0 == ? dydx-3d0.5ydx0.5+2y-exp(x)=0 == ? y(0.5)(x)-xy-x=0 == ? ydy3dx3-x3-3x2-3x-1=0 == ? y(1.8)(x)-2y(0.9)(x)+y-1=0 == ? y(0.5)(x)=1xy-1 == ? y(2)(x)y2-x2-2x-1=0 == ? (d0.5ydx0.5)2-5d0.5ydx0.5+6=0 == ? y(0.5)(x)-2exp(x)y-4exp(x)=0 == ? d1.6ydx1.6-d0.8ydx0.8-y-exp(x)=0 == ? y0.5(x)=2yexp(x) == ? y(0.5)(x)-exp(x)y2=0 == ? d1.6ydx1.6-2d0.8ydx0.8+y-exp(x)=0 == ? y(1)(x)-y2-xy=0 == ? y(1)(x)-y(0.5)(x)-y-1=0 == ? y(2)(x)-y2-x2=0 == ? y(2)(x)-y2-x2-2xy=0 == ? y(0.5)(x)-y(x)(dx)0.5-y-exp(x)=0 == ? d0.5dx0.5y-2cos(y)exp(x)=0 == ? d0.5dx0.5y-4sin(y)exp(x)=0 == ? d0.5ydx0.5=sin(x2)y == ? d0.5ydx0.5-sin(x)sin(y)=0 == ? d0.5ydx0.5-sinh(x)sinh(y)=0 == ? y(1)(x)=exp(x-y)-x == ? xd0.5ydx0.5-y-2x=0 == ? d0.5ydx0.5=sinh(x-1)sinh(y-1) == ? y(0.5)(x)-exp(-x)y2=0 == ? d0.5ydx0.5=yxsin(x) == ? dydx-sin(x-y)-1=0 == ? d2.5ydx2.5=yd0.5ydx0.5 == ? d0.5ydx0.5=ydydx == ? d2-iydx2-i-y+x=0 == ? d2ydx2=y3x2 == ? yd2ydx2-x2-3x-1=0 == ? yd2ydx2-2x2-3x-1=0 == ? (y-x-1)d2ydx2-3x-1=0 == ? y2d2ydx2-x2-4x-4=0 == ? (y-x-1)d2ydx2-x2-4x-4=0 == ? yd2ydx2-2x2-2x-1=0 == ? yd3ydx3-6x3-3x2-3x-1=0 == ? y(0)(x)y(1)(x)y(2)(x)=x2 == ? y(3)(x)y(2)(x)=y(12)(x) == ? y(3)(x)=exp(x)y(1)(x)y(12)(x) == ? y(12)(x)y(3)(x)=exp(x) == ? y(12)(x)y(2)(x)=exp(x) == ? d0.5ydx0.5-2xy-1=0 == ? y2d0.5ydx0.5-x2-4x-4=0 == ? exp(y-1)d0.5ydx0.5-x=0 == ? yd2ydx2-(x-2)(2x-4)=0 == ? yd3ydx3-6x3-4x2-4x-1=0 == ? exp(y-1)d2ydx2-exp(x)=0 == ? y2d2ydx2-x2-1=0 == ? 1y2d2ydx2-x2-1=0 == ? (y-x-1)d3ydx3-(x-2)(2x-4)(3x-1)=0 == ? d0.5ydx0.5-2x2y2-8x2=0 == ? d0.5ydx0.5-2xy2-8x=0 == ? d0.5ydx0.5-y2-2y-2=0 == ? d0.5ydx0.5-log(y-1)exp(x)=0 == ? yd2ydx2-(dydx)2-1=0 == ? d2ydx2-asin(y-1)-sin(x)-x=0 == ? dydx(x--y)-x--y-1=0 == ?


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