(27) Give an example of an infinite incidence geometry (i.e. an incidence geometry with an infinite...

(27) Give an example of an infinite incidence geometry (i.e. an incidence geometry with an infinite number of points and an infinite number of lines).

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milcah answered 2 years ago

Give an example for each of the following. Justify your answers. i) an infinite subset of...

Give an example for each of the following. Justify your answers. i) an infinite subset of E1 with no cluster points. (consider Z) ii) a complete metric space that is bounded but not compact (hint: consider the trivial metric space (S,d) with S being an infinite set).

(3) (1.1: Geometry) For each part below, give an example of a linear system of equations...

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It is a common misconception that the incidence of a tax (i.e., how the burden of...

It is a common misconception that the incidence of a tax (i.e., how the burden of the tax is actually divided between consumers and producers) depends on who is legally responsible for paying the tax to the government. [2 points] Briefly explain why the legal assignment of the tax does not determine the real incidence of the tax. For example, if the government collects the tax entirely from producers (it does not collect any taxes from consumers), how do consumers...

. Let Π be a finite incidence geometry. Prove that, if every line in Π has...

. Let Π be a finite incidence geometry. Prove that, if every line in Π has exactly n points and every point in Π lies on exactly n + 1 lines, then Π is an affine plane. Come up with a similar criterion for finite geometries satisfying (EP) (those geometries are called projective planes).

What does it mean for a system to be consistent? Is incidence geometry consistent? What does...

What does it mean for a system to be consistent? Is incidence geometry consistent? What does it mean for a system to be complete? Is incidence geometry complete?

Prove both of the following theorems in the context of Incidence Geometry. Your proofs should be...

Prove both of the following theorems in the context of Incidence Geometry. Your proofs should be comparable in terms of rigor and precision (and clarity of thought!) to the ones done in class today. A1. Given any point, there is at least one line not passing through it, A2. Given any point, there are at least two lines that do pass through it,

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(27) Give an example of an infinite incidence geometry (i.e. an incidence geometry with an infinite...

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