PPT-Section 1.2: Finding Euler Circuits

Math for Liberal Studies When does a graph have an Euler circuit This graph does not have an Euler circuit This graph does have an Euler circuit When does a graph have an Euler circuit. . 1707-1784 . Leonhard Euler was born in Basel, but the family moved to . Riehen. when he was one year old and it was in . Riehen. , not far from Basel, that Leonard was brought up. Paul Euler, his father, had some mathematical training and he was able to teach his son elementary mathematics along with other subjects.. Mini-Circuits and the Mini-Circuits logo are registered trademarks of Scientific Components Corporation d/b/a Mini-Circuits. All other third-party trademarks are the property of their respective owne p730 - 735. Essential Questions. How does the wiring in a circuit change its ability to supply power to devices?. How do we represent physical circuit elements in schematic drawings?. Objective(s. ): . By Katherine Voorhees. Russell Sage College. April 6, 2013. A Theorem of Newton. Application and significance . A Theorem of Newton derives a relationship between the roots and the coefficients of a polynomial without regard to negative signs.. When an Euler path is impossible, we can get an approximate path. In the approximate path, some edges will need to be retraced. An . optimal approximation. of a Euler path is a path with the minimum number of edge . Shachar. Lovett (IAS). Joint with . Emanuele. Viola (Northeastern). Lower bounds. Classic lower bounds: . functions. . Bounded families of circuits cannot compute (or approximate) some explicit . function. I. Circuits. A flow of electrons is called a current.. Symbol - I. Unit is Amperes or Amps (A). I = q/t . Current is amount of charge per time.. B. What is a circuit?. A circuit is any . closed loop. , Paths, . and Schedules. Euler and . Königsberg. Terminology. Network – a group or system of interconnected people or things. Graph – a mathematical structure consisting of vertices and edges. Vertices – points on a graph that may represent locations, people, or anything of interest. Circuits. Activator. Essential Question:. How are series and parallel circuits similar and different in how they transfer energy. ?. Standard:. S8P5b. . Demonstrate the advantages and disadvantages of series and parallel circuits and how they transfer energy. EE194. Brad Wheeler. Block Diagram. RF gain . N. oise reasons. Down-conversion. Easier to build low frequency circuits. Signal processing . M. ore gain, filtering. Digitization/demodulation. Extract the information. 1. Learning Objectives:. Know how to use graphs as models and how to determine efficient paths.. Modeling with graphs. Euler circuits. Degrees of vertices and Euler’s Theorem. Chapter . 7 Graph Theory. Activator. Essential Question:. How are series and parallel circuits similar and different in how they transfer energy. ?. Standard:. S8P5b. . Demonstrate the advantages and disadvantages of series and parallel circuits and how they transfer energy. Chapter 6: Graphs 6.2 The Euler Characteristic Draw A Graph! Any connected graph you want, but don’t make it too simple or too crazy complicated Only rule: No edges can cross (unless there’s a vertex where they’re crossing) Ide. . dasar. . penggunaan. . teknik. . numerik. . untuk. . menyelesaikan. . persoalan. . fisika. . adalah. . bagaimana. . menyelesaikan. . persoalan. . fisika. . dengan. . karakteristik.