PPT-Approximately counting triangles in sublinear time

Talya Eden Tel Aviv University Amit Levi University of Waterloo Dana Ron Tel Aviv University C Seshadhri UC Santa Cruz Counting Triangles Basic graphtheoretic algorithmic . A geometric realization of a proof in . H. Wu’s “Teaching Geometry According to the Common Core Standards”. B. A. C. c. a. b. Given a right triangle . . ABC with legs . a. and . b. and hypotenuse . Objective: To practice counting and skip counting on the number lines (1-10) and . hundreds charts . (1-100).. www.graphicsfactory.com. © By Carolyn Wilhelm from Wise Owl Factory. Animation on several slides is only visible in view slide show mode, and is not visible in normal mode.. Written by: Jack S. . Calcut. Presented by: Ben Woodford. (pay attention: there Will be a test at the end). Definitions. An . angle is . rational . provided it is commensurable with a straight . angle; equivalently. Yongsub. Lim. Applied Algorithm Laboratory. KAIST. Definition. A class is . PAC learnable . by a hypothesis class if. there is an algorithm such that. over . Jie. Wu, Paul . Sabatino. , Jennifer . Tsan. , and Zhen Jiang . Outline. Problem . Challenges. Solution. Implementation issues. Experimental results. Conclusion. Problem. Count/check a certain type of vehicles in the highly dynamic traffic, without any disruption.. 4.2. SSS Postulate (Just call it SSS). If . three sides of one triangle . are congruent to. three sides of another triangle, . then the triangles are congruent.. SAS Postulate (Just call it SAS). If . Helpful websites. http://www.regentsprep.org/Regents/mathb/1c/preprooftriangles.htm. http://www.mathwarehouse.com/geometry/congruent_triangles/. http://www.cliffsnotes.com/WileyCDA/CliffsReviewTopic/Congruent-Triangles.topicArticleId-18851,articleId-18788.html. If triangles are similar are other things similar as well. Proportional Parts Conjecture. If two triangles are similar, then the length of the corresponding altitudes, medians, and angle bisectors are proportional to the lengths of the corresponding sides. This shows similar Triangles. Honors Geometry. CCHS. Which rule proves the triangles congruent?. . ASA. What rule proves the triangles congruent?. . SAS. What rule proves the triangles congruent?. Not enough information. (SSA labeling). Objective. :. To understand and apply properties of isosceles and equilateral triangles.. Supplies. :. Math Notebook. Assignment: 4.8 p. 276: 1-10, 12-16, 22-26. 4.8: Isosceles & Equilateral Triangles. Chapter 4. Objective. List corresponding parts.. Prove triangles congruent (ASA, SAS, AAS, SSS, HL). Prove corresponding parts congruent (CPCTC). Examine overlapping triangles.. Key Vocabulary - Review. Lecture . 10: . Sublinear. Algorithm. Zhu Han. University of Houston. Thanks for Professor Dan Wang’s slides. 1. outline. Motivations. Inequalities and classifications . Examples. Applications. 2. Approximately 1500’ Estimated velocity -16 fps Crescent shaped levee Santa Maria River looking upstream at Guadalupe GareyBridge Flow estimated at 10,000 to 15,000 cfs Estimated velocity 15 to 2 A brief review of particle identification in gaseous detectors. Outline. some basics and fundamental problems of . dE. /dx measurements. Bethe-Bloch, clusters and all that. resolution, particle separation power.