Formal Languages REVIEW NOTES Connected graph A graph G is connected if given any vertices u and v in G‚ there is a path from u to v (or v to u). That is‚ in a connected graph‚ we can get from any vertex to any other vertex on a path. If there’s no path between some pair of vertices then the graph is called disconnected. The following shows a connected graph and a disconnected graph. Example: a b c b a c e d connected graph e d disconnected graph Cycle A cycle (or a circuit) is a path
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variables or two quantitative variables and one categorical variable on each pairs. I will also use graphs of scatter plots; regression and correlation to understand that how one variable affect other two variables. There are six groups below: Group one: High School Percentile (HSP)‚ Cumulative GPA (GPA)‚ and ACT Composition Score (COMP) a) HSP vs GPA b) HSP vs COMP c) COMP vs GPA From graph a‚ we can find out that there is moderate positive liner relationship between HSP and GPA; the
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verify if Data set was uploaded‚ we can verify ↓ Click on View Data Set Then‚ will pop up Data Set window Making Graphs We can make some graph to visualize data ↓ Click on Graph ↓ Then will pop up window below: ↓ For Example‚ We choose math ↓ Click on Options If you need to put more Options or just click OK ↓ Graph will pop up ↓ In this case it is a normal distribution If you want to change or add data‚ you can go to data editor and change
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Potato Batteries: Veggie power! Data and Analysis Background The battery was invented around 1800 by Alessandro Volta in Italy. It has become an indispensable part of modern life. Why are batteries so useful? Because they convert chemical energy into electrical energy. You can use this electrical energy to light a flashlight‚ to start a car‚ or to listen to your favorite music. We made a simple battery out of a potato by placing in it a zinc strip and a copper strip. At the zinc strip‚ the
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of your work. Describe how you would graph this line using the slope-intercept method. Be sure to write in complete sentences. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences. Graph the function using one of the following two options below. On the graph‚ make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work. You may graph your equation using graphic technology
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Module Learning Guide Production Scheduling and Optimisation Pit optimisation using Whittle 4X Jeff Whittle brought pit optimisation of age with the first fully implemented LerchsGrossmann algorithm. The graph-maximisation approach has a number of advantages over the LP formulation illustrated above. The primary advantage is that the pit optimisation problem can be coded in any language‚ such as Fortran in the case of early Whittle products. As such‚ it is not dependent on LP solution algorithms
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H(i) = (h(k) + i^2) % T c. Double Hashing H(i‚ k) = (h1(k) + ih2(k)) % T Suggested Load Factor = Lambda = 1/2 Load Factor = The ratio of the number of records to the number of addresses within a data structure. Graphs DAG - A directed graph with no cycles. Directed Graph: Graph with edges that have
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area of the region enclosed by the graphs of f and g. (Total 6 marks) 2. Let f(x) = Aekx + 3. Part of the graph of f is shown below. The y-intercept is at (0‚ 13). (a) Show that A =10. (2) (b) Given that f(15) = 3.49 (correct to 3 significant figures)‚ find the value of k. (3) (c) (i) Using your value of k‚ find f′(x). (ii) Hence‚ explain why f is a decreasing function. (iii) Write down the equation of the horizontal asymptote of the graph f. (5) Let g(x) = –x2 + 12x
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Course Code: Math 1 Course Title: College Algebra Year: 1st Year Topic: Functions Designer: Frago‚ Christine Joy S. Stage 1 – Desired Results Established Goals: This section aims to: 1. distinguish a function from a mere relation; and 2. find the domain and range of functions or relations Understandings: Students will understand… the definition of relation the definition of function the relationship between relation and function Essential Questions: Is the relation a function
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Plot a graph versus t (plot t on the abscissa‚ i.e.‚ x-axis). Results 1: Task 3. Plot a graph versus t2 (plot t2 on the abscissa‚ i.e.‚ x-axis). The equation of motion for an object in free fall starting from rest is y = ½ gt2‚ where g is the acceleration due to gravity. This is the equation of a parabola‚ which has the general form y = ax2. Results 1: Task 4. Determine the slope of the line and compute an experimental value of g from the slope value. Remember‚ the slope of this graph represents
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