PPT-Distance between Points

on a Coordinate Plane Using Quadrant Signs amp Absolute Value Know the Signs of Each Quadrant 5 4 3 2 1 S ame Means S ubtract If two coordinate points are in the same quadrant then you need to subtract the absolute value of the numbers that are different in the coordinate pairs. Hierarchical Clustering . Produces a set of . nested clusters . organized as a hierarchical tree. Can be visualized as a . dendrogram. A tree-like diagram that records the sequences of merges or splits. Hierarchical Clustering . Produces a set of . nested clusters . organized as a hierarchical tree. Can be visualized as a . dendrogram. A tree-like diagram that records the sequences of merges or splits. CS648. . Lecture 15. Randomized Incremental Construction . (building the background). 1. Partition Theorem. A set of events . ,…,. . defined over a probability space (. ,. P. ) is said to induce a partition of . 2.  . Partitioning methods. Hierarchical methods. Density-based. Grid-based. Model-based. Clustering Techniques. 3. Data Matrix. x. 11. … x. 1f. … x. 1p. . . .. x. i1. … . www.flickr.com. /photos/. rofi. /2097239111/. Data Structures and . Functional Programming. Algorithms for Big Data. Ramin Zabih. Cornell University. Fall 2012. Motivation. Modern CS is largely about “big data”. Handwriting Recognition. Stephen M. Watt. University of Western Ontario. International Workshop on Symbolic-Numeric Computation (SNC 2011). 7-9 June 2011, San Jose, California. The Pen as an Input Device. A Line of Best Fit. An Example. A study was conducted on 20 drivers to determine the relationship between the drivers’ speed and the braking distance at the sight of an obstacle. The following results were recorded from a sample of 20 drivers. Distance between 2 points. Mid-point of 2 points. Distance between two points.. 5. 18. 3. 17. A(5,3). B(18,17). 18 – 5 = 13 units. 17 – 3 = 14 units. AB. 2. = 13. 2. + 14. 2. Using Pythagoras’ Theorem,. WITHOUT THE COORDINATE PLANE. To find the distance between two points, count the units between them.. There is another way to find the distance, without counting units.. First, we need to know the following things:. In this lesson you . will learn to use absolute value to find distances between points with the same x and y value . by using a coordinate plane.. The Coordinate Plane. (5,3). x. value. y. value. (-2,-3). Stephen M. Watt. University of Western Ontario. TRICS, University of Western . Onatrio. , . 10 September 2014. Preliminary version of . a talk . to be given . at . West University of Timisoara, Romania, 22 . Concept:. EQ:. Vocabulary:. How do we find distances in the coordinate plane? (G.GPE.7). Distance in the Coordinate Plane. Pythagorean Theorem. Distance formula. Square root. Squared. H. ow far apart are the points (-4, 1) and (2, 4)?. Last modified: 30. th. December 2013. !. A locus is a set of points satisfying a certain condition.. Loci. Thing A. Thing B. Loci involving:. Interpretation. A given distance from point A. Point. Resulting Locus. /. Agglomerative and Point- Assignment Approaches. Measures of “Goodness” for Clusters. BFR Algorithm. CURE Algorithm. Jeffrey D. Ullman. Stanford University. 2. The Problem of Clustering. Given a set of points, with a notion of distance between points, group the points into some number of .