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Tag Archives: projective geometry
Why bicontinuity is the right condition for topological equivalence (homeomorphism): if continuity of the inverse isn’t required, then a circle could be equivalent to a line (.99999 and 0 would be neighbours) — Minute 8 or so. Geometric construction (no … Continue reading
Baskets [of securities] form a vector space…. A portfolio is … an equivalence class of baskets containing assets in the same proportions.… [Since] parameters … depend on proportions … rather than … actual values,… portfolios form a projective space. Edward … Continue reading
Math Infinity
Conceiving of ∞ as a mathematician is simple. You start counting, and don’t stop. That’s all. ($i++ for programmers) Which is why ∞ seems very small to the mind of a mathematician. With projective geometry you can map ℝ to … Continue reading
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Tagged ℝ, ∞, education, generalised number, generalised numbers, Georg Cantor, Giuseppe Peano, imagination, infinity, iuseppe Peano, math, mathematics, maths, mental space, number, projective geometry, real numbers, science
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