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Reconstruction of bits … n bits n-1 bits n-2 bits n-1 bits n-2 bits n-3 bits n-4 bits n-3 bits n bits n-2 bits n-4 bits D = distance A. Fúster-Sabater Gjøvik June 2006
Reconstruction of bits … n bits n-1 bits n-2 bits n-4 bits n-6 bits n-8 bits n-6 bits n bits n-4 bits n-8 bits D’ = distance A. Fúster-Sabater Gjøvik June 2006
Strategic Bits L i = 4, 5 T = 248 In vertical the same PN-sec. Horizontally shrunken sec. A. Fúster-Sabater Gjøvik June
Strategic Bits L i = 4, 5 T = 248 In vertical the same PN-seq. Horizontally shrunken seq. A. Fúster-Sabater Gjøvik June
$100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300.
90 Vertical Horizontal Oblique line a b Angles a + b = 180 o Angles at a Point b = 115 o Angle a = 180 – 115 = 65 o.
Perpendicular Lines Sec 3.7 Goals: To identify perpendicular lines using slope To write equations of perpendicular lines.
Objective To use angles of elevation and depression to solve problems.
Gradient Diagrams Geometry The diagram shows a straight line with the vert/horiz. distances marked on it. Straight line horizontal vertical In each of.
Hyperbolas 9.3. Definition of a Hyperbola A hyperbola is the set of all points (x, y) in a plane, the difference of whose distances from two distinct.
The slope of a line. We define run to be the distance we move to the right and rise to be the corresponding distance that the line rises (or falls). The.
(0, 1 ) (1,0) (r,0) (0,r) Circle of radius r. (0,1) (1,0) (r,0) (0,r) (cos ,sin ) 1.
Writing Equations of Lines. Find the equation of a line that passes through (2, -1) and (-4, 5).
Finding the Slope of a Line From Two Points. Given the points: (3, 4) and (2, 6) Find the slope of the line. y 2 – y 1 x 2 – x 1 = x 1, y 1 x 2, y 2 6.
Multiply By 2-Digit Numbers (B) Unit 2 Lesson 6. Objectives:
Facts and Figures Facts and Figures 2006 Facts and Figures 2006.
For the function determine the following, if it exists. 1.Vertical asymptotes 2.Horizontal asymptotes 3.Oblique asymptotes 4.x-intercepts 5.y-intercept.
Linearization of Stream Ciphers in Terms of Cellular Automata Amparo Fúster-Sabater Institute of Applied Physics (CSIC) Madrid (Spain)
Slope of a Line Slope basically describes the steepness of a line.
1 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use Distance between Two Points. Stage 6 - Year 11 Applied Mathematic (Preliminary Extension 1)
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
What kind of motion happens when an object rolls down a hill? Distance, Speed and Time Graphs.
1-7: Midpoint and Distance in the Coordinate Plane.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Linear Equations in Two Variables.
9.3: Calculus with Parametric Equations When a curve is defined parametrically, it is still necessary to find slopes of tangents, concavity, area, and.
Absolute Value and Translations Section 6-8. Notes The absolute value is the distance a number is away from zero. Because distance can never be negative.
Section 1.1 The Distance and Midpoint Formulas. x axis y axis origin Rectangular or Cartesian Coordinate System.
Reflections A reflection is a FLIP over a line.. Also a reflection has: The same DISTANCE from a central line. The same SIZE as the original image.
What is the symmetry? f(x)= x 3 –x.
Rational Functions Section 2.6. Objectives Determine the domain, x-intercepts, and y-intercepts of a rational function. Determine the vertical asymptotes.
COORDINATE GEOMETRY Distance between 2 points Mid-point of 2 points.
Point Value : 20 Time limit : 1 min #1. Point Value : 20 Time limit : 1 min #2.
Words may be in any direction: Horizontal, diagonal, vertical, reverse.
Graphing Motion NLMS motion 7.P.1.3 Illustrate the motion of an object using a graph to show a change in position over a period of time. 7.P.1.4.
Rectangular (Cartesian) coordinates plot a point by moving left/right and up/down (making a rectangle) Polar coordinates find the same point in a different.
Vertical and Horizontal Shifts of Graphs. Identify the basic function with a graph as below:
Vocabulary The distance to 0 on the number line. Absolute value 1.9Graph Absolute Value Functions Transformations of the parent function f (x) = |x|.
Whiteboardmaths.com © 2004 All rights reserved
Objective - To find the slope of a line. Slope -The rate of change that determines the direction of a line and how steep it is. Slope = vertical change.
Transformations on the Coordinate Plane: Translations and Rotations.
1 “FISHBONE” DIAGRAM. 2 THE RANGE OF QUALITY Quality (or lack thereof) is the result of many decisions made by many persons over a long period of time.
SLOPE. Slope (Rate of Change) Variable for slope is m Slope Formula:
Lesson 2: The Equation of a Line The Equation of a Line is: y = mx + b Where m is the slope And b is the y-intercept.
Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Chapter 3 Introduction to Graphing.
Slope describes the steepness of a line By Angela Gallacher.
“It” is Your Original artwork Drawn on Polystyrene Plastic #6.
Travel graphs Friday, 06 November 2015 Starter: June 05 Q1.
The Distance Formula Understand horizontal/vertical distance in a coordinate system as absolute value of the difference between coordinates; develop.
Section 11.7 – Conics in Polar Coordinates If e 1, the conic is a hyperbola. The ratio of the distance from a fixed point (focus) to a point on the conic.
Gradient and Intercept. Intercept When the number in front of the x is the SAME all the lines are PARALLEL. The lines cross the y-axis (vertical axis)
Ellipse Notes. What is an ellipse? The set of all points, P, in a plane such that the sum of the distances between P and the foci is constant.
EXAMPLE 1 Add polynomials vertically and horizontally a. Add 2x 3 – 5x 2 + 3x – 9 and x 3 + 6x in a vertical format. SOLUTION a. 2x 3 – 5x 2 + 3x.
Notes Over 14.2 Translations of Trigonometric Graphs Translation of a Sine Function Amplitude Period.
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