homogeneous coordinate sentence in Hindi
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- The lines of the Fano plane may also be given homogeneous coordinates, again using non-zero triples of binary digits.
- The advantage of using homogeneous coordinates is that one can combine any number of affine transformations into one by multiplying the respective matrices.
- Homogeneous coordinates identify the plane " E " with the " z " = 1 plane in three dimensional space.
- Since the homogeneous coordinates given by the minors are 6 in number, this means that the latter are not independent of each other.
- Applied to homogeneous coordinates for the projective plane; or the inhomogeneous version for the affine space determined by setting in such an equation.
- Switching to homogeneous coordinates using the embedding, the extension to the real projective plane is obtained by permitting the last coordinate to be 0.
- Therefore, the components of are homogeneous coordinates for the 3-space through the origin of "'R "'4.
- All coordinates may then be divided by the w component ( the fourth component in homogeneous coordinates ) in what is called the perspective division.
- Geometric objects, such as points, lines, or planes, can be given a representation as elements in projective spaces based on homogeneous coordinates.
- Specifically, in the projective plane,, with a field, we have the correlation given by : points in homogeneous coordinates lines with equations.
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