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seen Jan 31 '13 at 6:11

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revised Differences Between Algebraic Multiplication & The Dot Product
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accepted Differences Between Algebraic Multiplication & The Dot Product
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asked Differences Between Algebraic Multiplication & The Dot Product
Jan
11
comment What Does Homogenisation Of An Equation Actually Mean?
So, essentially an affine plane is just a graph on which real numbers can be plotted on both the axes. On the other hand, a projective plane has a point coming out of that plane to infinity. If that's true then why do we need to create a "projective plane"? How does that help us?
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11
awarded  Supporter
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11
comment What Does Homogenisation Of An Equation Actually Mean?
What exactly is the difference between an affine plane and projective plane? I am sorry, but I am not familiar with these terms.
Jan
11
comment What Does Homogenisation Of An Equation Actually Mean?
Then what is the difference between those points and just run of the mill position vectors? Clearly, if you take a point and take a ray passing through the origin and that point. Then it is the position vector of that point. How is the figure defined in such a scenario?
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10
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Jan
10
accepted What Does Homogenisation Of An Equation Actually Mean?
Jan
10
comment What Does Homogenisation Of An Equation Actually Mean?
So essentially, one of the geometrical interpretations is that a homogeneous equation is defined as a set of points (and their multiples) through which a passing ray strikes the origin? Is that what you mean by, "any point that satisfies the equation immediately implies the entire ray going through that point and the origin of the space belong to the geometrical object"?
Jan
10
comment What Does Homogenisation Of An Equation Actually Mean?
I'm not familiar with a lot of the terms used in that links, but the underlying logic does seem kinda familiar (but I doubt that I will truly get it). What I'm trying to look for is a more approachable explanation. Can you please help me get it?
Jan
10
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Jan
10
revised What Does Homogenisation Of An Equation Actually Mean?
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Jan
10
comment What Does Homogenisation Of An Equation Actually Mean?
I'm sorry. I have just started studying algebraic geometry. As to why it arose I just like understanding what things actually mean instead of mugging up formulas.
Jan
10
asked What Does Homogenisation Of An Equation Actually Mean?