![11-2 Chords and Arcs](http://s1.studyres.com/store/data/000338859_1-3102ca87e6b61a2617343abc886d069b-300x300.png)
Geometry22 Name: Per: ______ Date: ______ 3
... ALL of these theorems are saying: IF the lines are PARALLEL, THEN the special angle relationships are true. ...
... ALL of these theorems are saying: IF the lines are PARALLEL, THEN the special angle relationships are true. ...
geometry – first semester exam review
... PRACTICE PROBLEMS – The rest of this review is made up of practice problems similar to what you will see on the exam in either the multiple choice or the written portion. ...
... PRACTICE PROBLEMS – The rest of this review is made up of practice problems similar to what you will see on the exam in either the multiple choice or the written portion. ...
Riemann–Roch theorem
![](https://commons.wikimedia.org/wiki/Special:FilePath/Triple_torus_illustration.png?width=300)
The Riemann–Roch theorem is an important theorem in mathematics, specifically in complex analysis and algebraic geometry, for the computation of the dimension of the space of meromorphic functions with prescribed zeroes and allowed poles. It relates the complex analysis of a connected compact Riemann surface with the surface's purely topological genus g, in a way that can be carried over into purely algebraic settings.Initially proved as Riemann's inequality by Riemann (1857), the theorem reached its definitive form for Riemann surfaces after work of Riemann's short-lived student Gustav Roch (1865). It was later generalized to algebraic curves, to higher-dimensional varieties and beyond.