PPT-Graphs Representing Motion

DistanceTime Distance Distance Distance D t D t D t Gradient speed DistanceTime graph gradient velocity Graphs Representing Motion Velocitytime graph Gradient acceleration Area . Sometimes, two graphs have exactly the same form, in the sense that there is a one-to-one correspondence between their vertex sets that preserves edges. In such a case, we say that the two graphs are . Network Science: Random Graphs . 2012. Prof. Albert-László Barabási. Dr. Baruch Barzel, Dr. Mauro Martino. RANDOM NETWORK MODEL. Network Science: Random Graphs . 2012. Erdös-Rényi model (1960). based. . Knowledge. . Representation. . Formalism. . designed. for the . Meaning. -. Text. . Theory. & . Application to . Lexicographic. . Definitions. in the RELIEF . project. Maxime Lefrançois, Fabien . Angelika Steger. (j. oint. . work. . with. . Konstantinos . Panagiotou. , SODA‘11. ) . . TexPoint fonts used in EMF. . Read the TexPoint manual before you delete this box.: . A. A. A. A. A. Random Graphs . Learning Goals:. Graphs of the Cosecant, Secant, and Cotangent Functions. Graph transformations . When you think about the . csc. , sec, and cot graphs what do you think about?. Graph of the Cosecant Function. Daniel A. Spielman. Yale University. AMS Josiah Willard Gibbs Lecture. January . 6. , 2016 . From Applied to Pure Mathematics. Algebraic and Spectral Graph Theory. . . Sparsification. :. a. pproximating graphs by graphs with fewer edges. Kinematics Terminology. Scalar vs. Vector. Scalar: . quantities that have only a size, but no direction. i. e. : . distance, speed. Vector: . quantities that have a size and direction. ie. : . displacement, velocity. Misleading Graphs. Good . graphs are extremely powerful tools for displaying large quantities . of complex . data; they help turn the realms of information available today . into knowledge. . But, unfortunately, some graphs deceive or mislead. This . Daniel A. Spielman. Yale University. AMS Josiah Willard Gibbs Lecture. January . 6. , 2016 . From Applied to Pure Mathematics. Algebraic and Spectral Graph Theory. . . Sparsification. :. a. pproximating graphs by graphs with fewer edges. Instructions – using H7. Read through the . first . 4 . slides to understand how graphs can be used to misrepresent data, or at least try to mislead you.. On a new slide explain CLEARLY how the next . The vertical scale is too big or too small, or skips numbers, or doesn’t start at zero.. The graph isn’t labeled properly.. Data is left out.. But some real life misleading graphs go above and beyond the classic types. Some are intended to mislead, others are intended to shock. And in some cases, well-meaning individuals just got it all plain wrong. These are some of my favorite recent-history misleading graphs from real life.. Motion graphs are an important tool used to show relationships between position, speed and time.. It’s an easy way to see how speed or position change over time. Distance vs. Time Graph. Shows an object’s position at a given time.. (. pg. 30-55). Do Now. Why is it important to describe and analyze motion. ?. How fast?. How far?. Slowing/Speeding?. Rest/Constant velocity. What . are some of the different types of motion. ?. Translational – motion along a straight line. the . process of moving . or . changing . places . or position. Anything you do while moving is motion.. Fact: Speed is a major type of Motion. Determining motion. In order to determine motion you must know direction and speed.