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Saturday , June 24 2017

Suppose K and C are subsets of a topological vector space X, K is compact, C is closed, and K n C = ∅. Then 0 has a neighborhood of V such that (K + V) n (C + V) = ∅.

Proof: If  K = ∅, then K + V = ∅, and the conclusion of the theorem is obvious. We therefore assume that K # ∅, and consider a point x ∈ K. Then x ∉ C ⟹ x ∈ CC. Since C is closed, ∃ a neighborhood W of ...

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Short biography of Isaac Newton

PDF FILE OF SHORT BIOGRAPHY OF ISAAC NEWTON                  Newton   Birth and family Isaac Newton was born on January 4, 1643 in the tiny village of Woolsthorpe-by-Colsterworth, Lincolnshire, England. His father, whose name was also Isaac Newton, was a farmer who died before Isaac Junior was born. His mother, Hannah ...

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EUCLID Born: c. 365 BC Birth place: Alexandria, Egypt Education:Plato’s Academy Athens Greece Occupation: Mathematician, Educator Nationality: Ancient Greace Famous as: Mathematician – Euclidean Geometry, Euclid’s Elements and Euclidean Algorithm Executive summary: Father of geometry Died:c.275 BC Died At Age -70 Location of death: unspecified   Childhood: Very few little ...

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