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Science of Science Research and Tools Tutorial #07 of 12 Dr. Katy Börner

Science of Science Research and Tools Tutorial #07 of 12 Dr. Katy Börner

Science of Science Research and Tools Tutorial #07 of 12 Dr. Katy Börner Cyberinfrastructure for Network Science Center, Director Information Visualization Laboratory, Director School of Library and Information Science Indiana University, Bloomington, IN http://info.slis.indiana.edu/~katy

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510 views • 49 slides
Chapter 6-Non-Euclidean Geometries

Chapter 6-Non-Euclidean Geometries

Chapter 6-Non-Euclidean Geometries. Back in Chapter 3-Neutral Geometry… Start with Hyperbolic Geometry- Founded by James Bolyai (Hungarian) and Nikolai Lobachevski (Russian) Look at Cor 3.4.2 If d=90 then PQ is parallel to line l , so PQ ∩ l = Ø

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607 views • 41 slides
Alexander the Great (356–323 BC)

Alexander the Great (356–323 BC)

Alexander the Great (356–323 BC). Born in Macedonia, son of Philip II At 13, Aristotle became his tutor At 16, as regent in his father’s absence he put down an insurgency. Alexander the Great (356–323 BC). 336 BC, Philip II is assassinated

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526 views • 35 slides
Alexander the Great (356–323 BC)

Alexander the Great (356–323 BC)

Alexander the Great (356–323 BC). Born in Macedonia, son of Philip II At 13, Aristotle became his tutor At 16, as regent in his father’s absence he put down an insurgency. Alexander the Great (356–323 BC). 336 BC, Philip II is assassinated

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372 views • 35 slides
Hyperbolic Geometry

Hyperbolic Geometry

Hyperbolic Geometry. Chapter 6. THE Quadrilateral!. Hyperbolic Geometry. Negation of Hilbert’s Euclidean Parallel Postulate: There exist a line l and point P not on l such that at least two distinct lines parallel to l pass through P. Basic Theorem 6.1:.

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551 views • 32 slides
Station 1 (A)

Station 1 (A)

Station 1 (A). Towards the beginning of the semester, many students made the following claim: “A straight line is the shortest distance between 2 points.” Explain why this definition fails to describe geodesics in general and why it is also insufficient on the plane. Station 1 (B).

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207 views • 14 slides

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