dg.differential geometry – The effect of the Hodge $ star $ operator on the symplectic structure of a Kahl $ 4 $ distribution

To let $ (M, omega, J, g) $ be a $ 4 $ Dimensional Kahler manifold. Put $ omega & # 39; = star omega $ Where $ star $ Is the hodge operator assigned to the metric? $ g $,

is $ (M, omega & # 39;) $ a symplectic manifold? Is it necessary symplectic equivalent to the original structure $ (M, omega) $Is this a diffeomorphism? $ f $ what carries $ omega & # 39; $ to $ omega $?

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Algorithm – How can I match my line of sight to the theta star? How could I fix my below problem?

I'm trying to implement my theta star algorithm, but first I have to implement the line of sight algorithm. I have implemented in my lineOFsight algorithm in Python, I do not know how accurate it is. But when I call this line of sight feature in my program, I get the following error:

    sight = lineOfsight(elevation1,drone_height,y1,x1,y2,x2)
NameError: name 'lineOfsight' is not defined

How could I fix this error? … and is it correct what I coded?

My Python code below for the line of sight algorithm:

from Thetastar import *
def lineOfsight(elevation1,drone_height,y1,x1,y2,x2):
    y_size = len(elevation1)
    x_size = len(elevation1(0))

    #Distance
    dy=y2-y1;
    dx=x2-x1;

    if dy < 0:
        dy=-dy
        sy=-1
    else:
        sy=1

    if dx < 0:
        dx=-dx
        sx=-1
    else:
        sx=1

    f=0
    if dy >= dx:
        while y1 != y2:
            f = f + dx
            if f>=dy and 0 drone_height:

                    sight = 0
                    return sight
                x1 = x1 + sx
                f = f - dy
                if 0 drone_height:
                        sight = 0
                        return sight

                if 0h and E(y1+(sy-1)/2,x1-1) > drone_height:
                        sight=0
                        return sight

                y1=y1+sy

    else:
        while x1 != x2:         
            f=f+dy;
            if f>=dx and 0 drone_height:
                    sight=0
                    return sight
                y1=y1+sy
                f=f-dx

            if 0 drone_height:
                    sight=0
                    return sight

            if 1h and E(y1-1,x1+(sx-1)/2)> drone_height:
                    sight=0
                    return sight
            x1=x1+sx
    sight = 1
    return sight 

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