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David Vundi Mathematics Teacher Identify Points, Lines, and Planes GEOMETRY.

infinite and never ends at either side. The line segment has two endpoints. The ray has on one side one endpoint at the other side it never ends it goes on to infinite. M N D E A B What do they have in common? They all made up of points; They all are straight; They are named using TWO POINTS. http/


Line This will go in the ELEMENTS section of your sketchbook.

with many variations of lines Parallel lines-thin-thick-long-short Cross-hatching lines Dotted –dashed lines Scribble lines Wavy lines ? Can you think of more? ** see my sketchbook for some examples* Medium (This is what you make the art with) Crayon Colored pencil Marker Magazine Pencil Paper/glue ?can you think of another way? Design Aesthetically pleasing? Does the art look good to you? When you/


Parallel Lines & Transversals

<3 & <6 <4 & <5 <3 & <5 <4 & <6 1 4 2 6 5 7 8 3 Angles <2 & <6 <3 & <7 <1 & <4 <6 & <7 Special Angle Relationships WHEN THE LINES ARE PARALLEL ♥Alternate Angles are CONGRUENT ♥Vertical Angles ♥Co-Interior Angles are SUPPLEMENTARY ♥Corresponding Angles are CONGRUENT 1 4 2 6 5 7 8 3 If the/ measures. 120° 60° 120° 60° 120° 60° 120° 60° Another practice problem 40° Find all the missing angle measures, and name the postulate or theorem that gives us permission to make our statements. 120° Assignment Pg 52, #2


GEOMETRY.

G FG represents a ray • • What are parallel lines? Parallel lines are lines that never intersect. What are intersecting lines? Lines that cross at any point are intersecting lines. What are perpendicular lines? Two lines that cross to form a right angle are intersecting lines. Points and Lines in Real World VERTEX A VERTEX is a fancy name for “angle” Two rays or lines that have the same endpoint make a VERTEX/


Parallel and Perpendicular Lines

Lines Chapter 3 Parallel and Perpendicular Lines Properties of Parallel Lines Sec. 3-1 Properties of Parallel Lines Objective: a) Identify Angles formed by Two Lines & a Transversal. b) To Prove & Use Properties of Parallel Lines. Parallel Lines – Two lines in the same plane which never intersect. Symbol: “ // ” Transversal – A line that intersects two // lines. 8 Special Angles are formed. t 1 2 Interior Portion of the // Lines/If a Transversal intersects two // lines, then the alternate interior angles are/


Title of the slide Second line of the slide John Perks Practical solutions for consortium data sharing Presentation Eleven.

slide Definitions Integration - Making diverse components work together Interoperability - the ability of software systems running under different operating systems and on different hardware to exchange information using the same file formats and protocols Title of the slide Second line of the slide Guiding Principles Establish the Business Case What Information is needed What is the data and context requirement How can the/


Prague Public Transport Co. Inc. Jan Barchánek Bus operation unit, deputy manager Prague, May 2012 Basic information Metropolitan bus lines.

shorter intervals more capacity – articulated buses more priority measurements, less stops better time and space connection to metro, tram and rail network real-time passenger information (stops, on-board, mobile apps, etc.) better orientation for occasional users Realization step by step development strengthen of tangential bus lines midibus lines development (since 2003) promotion of advances full realization is prepared need stakeholder agreement Backbone/


This project has been funded with support from the European Commission www.texsite.info On-line textile and clothing dictionary Fashion school II – Multimedia.

: 8920 EUR. The BDS financial contribution to the project: 2974 EUR. This project has been funded with support from the European Commission www.texsite.info On-line textile and clothing dictionary Fashion school I / texts processing, technical communication with partners This project has been funded with support from the European Commission www.texsite.info On-line textile and clothing dictionary List of partners P7 – CLOTEFI – Textile Clothing and Fibre Technological Developments - Greece – translation, /


Chapter 3: Linear and Exponential Change: Comparing Growth Rates

a linear formula for the distance. The growth rate = velocity = 1000 km/hour = a constant Chapter 3 Linear and Exponential Changes 3.1 Lines and linear growth: What does a constant rate mean? Solution: We first choose letters to represent the function and variable. Let d be the distance in km from Earth after t hours. The growth rate = velocity = 1000 km/


Hôtel Mac Mahon *** Location : 3 avenue Mac Mahon 75017 Paris Phone: 01 43 80 23 00 Metro: Line 6 Cambronne Rules for.

written commitment of the service to be settled Tariffs : Hôtel des provinces*** Location : 192 rue de la croix Nivert, 75015 Paris E-mail: reservations@hoteldesprovinces-paris.com Phone: 01 45 58 16 08 Metro: Line 8 Boucicaut Rules for cancellation /Hotel*** Location : 103 Boulevard de Grenelle, 75015 Paris E-mail: contact@europehotelparis.com Phone: 01 47 34 07 44 Metro: Line 10 La Motte-Piquet Grenelle Rules for cancellation : The day before the arrival, 12 oclock latest Garantee required when booking ? :/


ATR ITALIA GRINDING MACHINES. TECHNOLOGICAL LINES Grinding with conventional abrasives [Al 2 O 3 ] Grinding with superabrasives [CBN]

Kw / NOMINAL TORQUE: 78 Nm - SPINDLE SUPPORTS: PRELOADED ANGULAR CONTACT ROLLING BEARINGS - CENTERS HEIGHT FROM TABLE: 225 mm ATR 600 Line TAILSTOCK - CENTERS HEIGHT FROM TABLE: 225 mm - TAILSTOCK SLEEVE DIAMETER: 80 mm - THRUST ON THE PIECE BY SPRING: RANGE FROM 30 TO 1000 N - SLEEVE GUIDE SYSTEM: PRELOADED BALL BUSH - SLEEVE LUBRICATION: OIL BATH - QUILL STROKE: 50 mm - SLEEVE CONTROL FOR/


Developing the Graph of a Function. 3. Set up a number line with the critical points on it.

on a slant Developing the Graph of a Function ** rational functions like this will not only have critical points we have to find, but could have vertical asymptotes included in the intervals Developing the Graph of a Function 3. Asymptotes occur where the/ so decreasing Developing the Graph of a Function 3. Asymptotes occur where the denominator = 0 4. Set up a number line with the critical points and asymptotes on it 5. Test values in each interval in the derivative - positive so increasing Developing/


PARALLEL LINES CUT BY A TRANSVERSAL

and < 5 are called CORRESPONDING ANGLES They are congruent m<1 = m<5 Corresponding angles occupy the same position on the top and bottom parallel lines. Parallel lines cut by a transversal 2 1 3 4 6 5 7 8 < 2 and < 6 < 3 and < 7 Name other corresponding pairs: < 4 and to both sides WEBSITES FOR PRACTICE Ask Dr. Math: Corresponding /Alternate Angles Project Interactive: Parallel/


UNIT 3 Be a good sport. depressed frustrating (line 25) = P. 69 Para 1 frustrated (line 11) ~depressing e.g. I feel frustrated about my test results.

a good sport depressed frustrating (line 25) = P. 69 Para 1 frustrated (line 11) ~depressing e.g. I feel frustrated about my test results. e.g. My test results are frustrating. P. 69 Para 1 arrogant (line 25) = (adj.) e.g. He never says hi to anyone. He is arrogant. proud/ I won’t make friends with dumb people. P. 69 Para 1 lacking in (line 26) (adj.) e.g. I am lacking in money. P/


DG 1 1.What imaginary line separates the Northern and Southern hemispheres? 2. What is the “grid system”? 3. What are the cardinal directions? 4. What.

is the “grid system”? 3. What are the cardinal directions? 4. What is the capital of the United States? Answers 1.What imaginary line separates the Northern and Southern hemispheres? The Equator. 2. What is the “grid system”? Latitude and longitude together form the grid system. 3./is the study of the Earth and the people who live on it. 2. Why do geographers use the 5 Themes of Geography? To organize information 3. A drawing of all or part of the earth on a flat surface is a map. 4. Latitude and longitude/


4.7 Graphing Lines Using Slope Intercept Form

. +3 +2 x 2) Plot the y-intercept. -2 3) Plot the slope. -2 -3 2 m = or m = -3 3 4) Draw line through points. Graph the line which passes through (-2, 1) and has a slope of -3. Steps y 1) Plot the point. 2) Write slope as fraction and count off other points./ the point. +3 2) Write slope as fraction and count off other points. 3 x m = 4 -3 or m = -4 3) Draw line through points. Write a linear equation in slope-intercept form to describe each graph. y = mx + b y y 8 x x -6 2 4 b = -4 b = 3 y = 2x + 3 /


A.Line m intersects Line x at Point B B.Line M intersects Line X at Point B C.Line M intersects Line X at Point b D.Line m intersects Line x at Point.

A.Line m intersects Line x at Point B B.Line M intersects Line X at Point B C.Line M intersects Line X at Point b D.Line m intersects Line x at Point b Which is correctly written to Describe the image? End A.Points Q, R, S, and P B.Points M, R, and P C.Points M, N, and P D.Points S, U, and N Which points are on the same Plane? End A.None B.One C.Three D.Four How many Planes, is Point A in? End A.Lines B.Line Segments C.Opposite Rays D.Angles BA and BC are… End A.


Warm up Graph the equation of the line using slope & y-intercept

& y-intercept 4x – 2y = 10 Lesson 8-5 Determining an Equation of a Line Objective: To find an equation of a line given the slope and one point on the line, or given two points on the line. Finding the Equation of a Line If you know that the slope-intercept form of a line is y = mx + b then you can find the equation of any/


Advanced Technology Center 1 HMI Yang Liu/ Line Choice Stanford University HMI Team Meeting – 2 May 2003 Comparison of the Lines FeI6173 & NiI6768 Yang.

Meeting – 2 May 2003 LCP & RCP Data from Mt. Wilson & ASP. Blend? blend Advanced Technology Center 4 HMI Yang Liu/ Line Choice Stanford University HMI Team Meeting – 2 May 2003 Center-to-limb Variation Advanced Technology Center 5 HMI Yang Liu/ Line Choice Stanford University HMI Team Meeting – 2 May 2003 Magnetic Field Measurement This observation was taken by ASP. Advanced Technology Center/


AP Statistics.  Least Squares regression is a way of finding a line that summarizes the relationship between two variables.

squares of the vertical distances of the data points from the line as small as possible  In order to obtain the equation for the least squares regression line, we must first calculate the mean and standard deviation of both x and y denoted  The equation for the least squares regression line is the line  Where the slope b is  And the intercept a is  Ralph/


Macbeth Act 4 scene 1 Lines 50-61: How has Macbeth’s attitude toward the witches changed from his earlier meetings? Lines 68-70: What do you think is suggested.

might the bloody child represent? Macbeth Act 4 scene 1 4. Lines 79-81: How do you think this prophecy will affect Macbeth? 5. Lines 85-88: Whom or what might the child crowned represent? 6. Lines 144-156: Why does Macbeth decide to kill Macduff’s family? Macbeth Act 4 scene 2 Lines 30-31: Why does Lady Macduff tell her son that his/


Outreach Efforts Fine Line: Mental Health/Mental Illness  Brochures  News Media  Special Events  Faith Community  Speeches  Group Visits  Therapeutic.

Ethics CEU Program405 attendees Faith Leaders Breakfast40 attendees Therapeutic Thursdays390 attendees Brown Bag Lunch-and-Learns80 attendees Groups435 attendees Outreach Efforts Fine Line: Mental Health/Mental Illness Faith Community Committee of Key Faith Leaders Development of Mailing List Mailings to 300+ Faith Communities Phone Calls or In-Person Contacts with 300+ Faith Communities Group Visits Series of Programs Within the Church Community/


Geometry in Baseball By Zach Hand. Collinear points Collinear points are points that are on the same line. First base and home plate are on the same foul.

. The infield grass and the outfield grass look parallel planes separated by the dirt. Skew Lines Skew Lines are lines that don’t lie in the same plane, don’t intersect, and aren’t parallel. This line coming from the pitchers mound to home plate and the foul line look like skew lines. Equilateral Triangle An equilateral triangle is a triangle whose sides are all congruent. The/


1 SKI BAG LINE Season 2013 - 14. 2 Rebel´s Line Rebels Movie + Graffiti act.

mix  Neon yellow stripe  Padding  Extendable to 190 cm 12 Ski Daypack #383743  Black material mix  Neon yellow stripe  Helmet holder Boot Bag #383753  Black material mix  Neon yellow stripe #383763  Black material mix  Neon yellow stripe  PP lining Boot Backpack 13 WOMEN´s LINE 14 WOMEN´s LINE  Travelbag  Single Skibag  Boot Bag 15 #383803  Red lining  Metal badges and rivets  Icon and head/


Algebra 1 Mini-Lessons y = 2x + 6

: 1/3 1/3 MA.912.A.3.9: Determine the slope, x-intercept, and y-intercept of a line given its graph, its equation, or two points on the line. Algebra 1 Mini-Lessons The equation 3x − 2y = −16 can be used to determine the size of a recommended refrigerator, where y represents the volume of the refrigerator in cubic feet, and/


Short Story Unit JEOPARDY LiteraryTerms Plot Line CharacterCharacterConflict Past Stories 10 20 30 40 50.

witch trails that is accused of being a witch. What is character vs. society? Plot Line for Plot Line for 10 The most exciting part of the story What is climax? Plot Line for Plot Line for 20 What is narrative hook? This is the part that initially grabs the reader’s / old man? What is drop a bed on him? Past Stories for Past Stories for 30 Who is his dog? Who is Manny talking to in “Speak?” Past Stories for Past Stories for 40 The location of Margot’s school. What is Venus? Past Stories for Past Stories for/


Created by Cyber Ambassador, Grant Geometry- the branch of mathematics that deals with lines, angles, surfaces, solids, and their measurement. In this.

degrees) A polygon is a shape that has three to ten sides. - Triangles have 3 sides - Squares and quadrilaterals have 4 sides - Pentagons have 5 sides - Hexagons have 6 sides - Octagons have 8 sides - Decagons have 10 sides point- an exact location in space named with a capital letter line- a continuing strait line named by two points ray- a part of a/


Elements of Photography Rai Luke. Line This picture depicts line because the lines coming off the glasses lead into the cosplayer’s face. Also the lines.

Credit or URL: http://www.flickr.com/photos/27594459@N04/8497113974/ Rule Of Thirds The cosplayer is right on the line between the second and third sections of the photo. (its also depth of field) Owner: Mooshuu License information: /www.flickr.com/photos/mooshuu/9535463529/ Perspective This picture is an example of perspective because their canes are much closer to the viewer than usual. Owner: Darryl Pamplin License information: Attribution No Derivatives Non-Commercial Share Alike Photo Credit or/


5.3 Congruent Angles Associated With Parallel Lines

: Kristi Polizzano Objective Apply the parallel postulate Identify the pairs of angles formed by a transversal cutting parallel lines Apply six theorems about parallel lines The Parallel Postulate Through a point not on a line there is exactly one parallel to the given line. Although this postulate may seem reasonable, mathematicians have argued its truth. For our purposes, we will assume the postulate is true/


3.3 Parallel Lines & Transversals. Transversal A line, ray, or segment that intersects 2 or more COPLANAR lines, rays, or segments. Parallel lines transversal.

7 are Alternate Exterior angles <1 & <7 are Same Side Exterior angles <2 & <8 are Same Side Exterior angles Special Angle Relationships WHEN THE LINES ARE PARALLEL ♥Alternate Interior Angles are CONGRUENT ♥Alternate Exterior Angles are CONGRUENT ♥Same Side Interior Angles are SUPPLEMENTARY ♥Same Side Exterior Angles are SUPPLEMENTARY 1 4/ problem Find all the missing angle measures, and name the postulate or theorem that gives us permission to make our statements. 40° 120° Assignment Pg 160, 13-33 3.3 A & B


Angle Relationships Vocabulary

Angle Relationships Vocabulary CCGPS Math 8 Intersecting Lines Lines that cross at exactly one point. Perpendicular Lines Lines that intersect to form right angles. Parallel Lines Lines in a plane which do not intersect. Transversal A line which intersects two or more parallel lines. Interior vs. Exterior Angles Exterior- Outside the parallel lines. Interior- Inside the parallel lines. Congruent Having the same size and shape. Alternate Interior Angles Angles on opposite sides/


F(x ). Names Linear Constant Identity Quadratic Cubic Exponential And many more! Straight Line Horizontal Line Slanted Line Parabola Half Parabola Twisted.

) Names Linear Constant Identity Quadratic Cubic Exponential And many more! Straight Line Horizontal Line Slanted Line Parabola Half Parabola Twisted Parabola Graphs Graph is a non-vertical straight line No exponents higher than one No operations except addition, subtraction, and multiplication No variables multiplied together No variables in a denominator Must be able to put it in the form f(x) = mx + b (where b/


Structure and Formation Process of an Orographic Line-shaped Rainfall System during Baiu Season in Western Kyushu, Japan Ayako Nakamura, Hiroshi Uyeda,

low mountains in moist lower atmosphere? →many analyses ・ Goto line →few analyses Study on formation mechanism ・ Isahaya line and Koshikijima line PURPOSE To clarify 1. the structure of the 19 June 2001 Goto line 2. the formation process of the 19 June 2001 Goto line →many analyses ・ Goto line →few analyses Study on formation mechanism ・ Isahaya line and Koshikijima line observation sites Japan Kyushu Hirado Fukuo ka Sefuriya ma/


7.8 Parallel and Perpendicular Lines Standard 8.0: Understand the concepts of parallel and perpendicular lines and how their slopes are related.

0: Understand the concepts of parallel and perpendicular lines and how their slopes are related. Vocabulary Parallel LinesLines that never cross and never intersect. Perpendicular LinesLines that, when they cross each other, form right/ lines #2 Determine whether the graphs of the equations are parallel lines #3 Determine whether the graphs of the equations are perpendicular lines #4 Determine whether the graphs of the equations are perpendicular lines #5 Write an equation for the line containing/


1 Aim: How do we prove lines are perpendicular? Do Now: A C D B StatementsReasons 1) 2) 3) 4) 5) 6) 7) 8) Given Def. Linear pair Linear pair is suppl.

X and Y? P is the same distance from X and Y. PX = PY 4Geometry Lesson: Proving Lines are Perpendicular AB D C p Def: Perpendicular Bisector The perpendicular bisector of a line segment is a line, line segment or ray that is perpendicular to the line segment and bisects it. 5Geometry Lesson: Proving Lines are Perpendicular C AB Constructing a Perpendicular Bisector D 6Geometry Lesson: Proving/


13.3 Parallel and Perpendicular Lines. Parallel Lines Coplanar lines that do not intersect.

perpendicular if and only if the product of their slopes is -1. In english That means that the slopes of two perpendicular lines are –Opposite (one + and one -) –Reciprocals ( and ) White Board Practice r || s and r  t Slope of rSlope of sSlope of t /of sSlope of t White Board Practice r || s and r  t Slope of rSlope of sSlope of t Remote Time The slopes of two lines are given. Are the lines A: Parallel B: Perpendicular C: Neither D: I don’t know A: Parallel B: Perpendicular C: Neither D: I don’t know /


3-7 Perpendicular Lines. Lines that intersect at an angle of 90 degrees are perpendicular lines. For example, let’s say that we have the and the line.

intersect at an angle of 90 degrees are perpendicular lines. For example, let’s say that we have the and the line ABline CD A B CD Now, if the lines intersect at an angle of 90 o, then AB  CD. Definition of Perpendicular Lines Perpendicular lines are lines that intersect to form a right angle. m n Symbols: m  n m n 1 2 34 Theorem/


PARALLEL & PERPENDICULAR. PARALLEL LINES nteractive-slope-two-lines.php

http://www.mathwarehouse.com/algebra/linear_equation/i nteractive-slope-two-lines.php Slopes…… Perpendicular Lines: The slopes are opposite reciprocals for perpendicular lines. Example……If PERPENDICULAR: You Try....... If find the parallel and perpendicular slopes. Parallel: Perpendicular: You Try…… If find the parallel and perpendicular slopes. Example……. Graph the line perpendicular to through (3,2) Graph…… Parallel, Perpendicular, or Neither Parallel, Perpendicular, or Neither? Parallel/


BL MS Cotton Nero A.x Folio 39 r : The beginning of Pearl, lines 1-36.

r : Cleanness: Noah’s Ark. BL MS Cotton Nero A.x Folio 56 v : Cleanness: Daniel at Belshazzar’s feast. BL MS Cotton Nero A.x Folio 82 r : Patience, lines 1802-1812. Jonah being cast into the sea. BL MS Cotton Nero A.x Folio 82 v : Patience. Jonah at Babylon. BL MS Cotton Nero A.x Folio 90 v/ v : Sir Gawain and the Green Knight. Gawain at the Green Chapel. BL MS Cotton Nero A.x Folio 130 r : Sir Gawain and the Green Knight. Gawain’s return to Arthur’s court.


CHAPTER 3: PARALLEL LINES AND PLANES Section 3-1: Definitions.

: are two interior angles on the same side of the transversal. 4.Corresponding Angles: are two angles in corresponding positions relative to the two lines. CLASSIFYING ANGLES Interior Angles: 3, 4, 5, 6 Exterior Angles: 1, 2, 7, 8 Alternate Interior Angles: 3/statement as true or false. 1.A transversal intersects only parallel lines. False 2.Skew lines are not coplanar. True 3.If two lines are coplanar, then they are parallel. False 4.If two lines are parallel, then exactly one plane contains them. True If /


4.7 Graphing Lines Using Slope Intercept Form

. +3 2) Write slope as fraction and count off other points. 3 x m = 4 -3 or m = -4 3) Draw line through points. Write a linear equation in slope-intercept form to describe each graph. y = mx + b y y 8 x x -6 2 4 b = -4 b = 3 y = 2x /+ 3 Parallel Lines Graph the following on the coordinate plane. y x Parallel lines have the same slope. Lines are parallel! Same slope! Tell whether the lines below are parallel. 1/


Points, Lines and Planes

. STEP 1 SOLUTION Draw: a second plane that is horizontal. Shade this plane a different color. Use dashed lines to show where one plane is hidden. STEP 2 Draw: the line of intersection. STEP 3 GUIDED PRACTICE for Examples 3 and 4 Sketch two different lines that intersect a plane at the same point. ANSWER Use the diagram at the right. 5. Name the/


Lecture 2 Line Segment Intersection Computational Geometry Prof.Dr.Th.Ottmann 1 Line Segment Intersection Motivation: Computing the overlay of several.

.Ottmann 10 Surfaces c6 c7 c3 c5 c1 c2 c4 c8 Difference same surface Applies only to linked nodes! c1 c6 c3 c2 c5 c8 c4 c7 Outside Holes Lecture 2 Line Segment Intersection Computational Geometry Prof.Dr.Th.Ottmann 11 Construction of G cc´ Lecture 2 Line Segment Intersection Computational Geometry Prof.Dr.Th.Ottmann 12 Construction of G cc´ Theorem : Connected/


Learning Ruby Files. # Example 1 - Read File and close counter = 1 file = File.new(“sowpods.txt", "r") while (line = file.gets) puts "#{counter}: #{line}“

Files # Example 1 - Read File and close counter = 1 file = File.new(“sowpods.txt", "r") while (line = file.gets) puts "#{counter}: #{line}“ counter = counter + 1 end file.close # Example 2 - Pass file to block File.open("readfile.rb", "r") do |infile| while (line = infile.gets) puts "#{counter}: #{line}" counter = counter + 1 end If the optional block is given on opening a file, the block will/


Learning Ruby - 5 Files. while line = gets puts line end while line = gets puts line.downcase end while line = gets puts line.downcase if line =~ /UP/

|byte| putc byte; print "." end # of do. File.open( "/etc/passwd" ) do |my_file| my_file.each_line { |line| puts line } end # of do. IO.foreach( "/etc/passwd" ) { |line| puts line } File Reading Iterators print STDOUT << "Hello" << " " << "World!" << " " Rubys a bit like C++ - Yuk! More... Ruby So Far Files are easy to work with in Ruby Take advantage of the in-built iterators and methods when working with/


Self-Service Checkout. Will More Lines Improve Customer Throughput? Kevin W. Lewelling Professor Ernesto Butierrez-Miravete DSES – 6620 Simulation Modeling.

Width 12 or less Handicap Width 12 or less Standard Width Full Service Checkout Line Configurations Arrival QueueCheckout Associate Service Location Exit Feeder Conveyor Gathering Area Bagging Associate 5 /Lines Total Customer Throughput Total Customer Throughput for Given Checkout Line Configurations 12 Items-or-less Checkout Lines Fewer Self-Service Checkout Lines 258 338 298 Current Conclusions / Recommendations Self-service lines provide no additional throughput A cost analysis should be performed to/


Beam line characterization with the TOFs1 Demonstrating the emittance-momentum matrix Mark Rayner, CM26 California, 24 March 2010 3610 140 200 240 Initial.

 muon decay beam lines  (3, 6, 10) mm  (140, 200, 240) MeV/c  Data taking in December  6 mm – 200 MeV/c element  Runs 1380 – 1393, Kevin Tilley’s optics, 6k target pulses  6 mm – 140 MeV/c element  Runs 1409 – 1411, KT’s optics re-scaled to the new momentum, / = 5.30 mm y RMS normalized phase emittance = 1.78 mm Transverse 4d RMS normalized phase emittance = 3.07 mm Covariance matrix Means Beam line characterization with the TOFs8 6-200 (x, p x, y, p y, p z ) in mm and MeV/c 3359 -610.0 205.8/


THE LOGIC OF REGRESSION. OUTLINE 1.The Rules of the Game: Interval-Scale Data and PRE (Strength) 2.Understanding the Regression Line (Form) 3.Example:

of Y = 0? Answer: Around 30.2 (compare to minimal value of X) Slope = +.87 (for every 1 percent increase in high- school graduates, an increase of.87 percent in turnout) What About Wyoming? On the Importance of the Scattergram 1. Visual confirmation of observed relationship 2.Identify patterns in deviations from the line—that is, in patterns among “residual values” 3/


Hough Transform. Detecting Lines Hough transform detects lines in images Equation of line is: y = mx + b or Hough transform uses an array called accumulator.

plotted going through it, all at different angles. These are shown here as solid lines. For each solid line a line is plotted which is perpendicular to it and which intersects the origin. These are shown as dashed lines. The length and angle of each dashed line is measured. In the diagram above, the results are shown in tables. This is repeated for each data point/


Case studies of coordinated THEMIS-SuperDARN observations of field line resonances Elsayed R. Talaat The Johns Hopkins University Applied Physics Laboratory.

E- and B-field measurements during an outbound pass of the five THEMIS probes on 4 September 2007 from 04:00 to 10:00 UT. Er and Eφ in the XY plane in GSE are plotted with a 3 s resolution. The / radial, azimuthal and field ‐ aligned components of the magnetic field, Br, Bφ and Bz, and their corresponding Dynamic Power Spectra. Field Line Resonance Observations February 6, 2008 Hankasalmi - February 6, 2008 SuperDARN/Themis Coverage Measurements from THEMIS ‐ A on 7 February 2008: radial component/


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