coupled with my interests‚ provides an ideal setting for me to pursue research in Theoretical Computer Science. My research interests include - randomized and approximation algorithms‚ combinatorial optimization‚ complexity‚ parallel algorithms‚ graph theory‚ number theory‚ and allied areas of cryptography and quantum computation. Career goals: I aspire to build a career in academia by joining as a faculty member in a reputed university. My assistance in coursework design (for Theory of Computation
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Consider the following graph G. [pic] 1. Give the adjacency matrix and adjacency list of the graph G. (5 marks) adjacency matrix： [pic] adjacency list: |a | | b | |c | | d | |e | |f | b d a c e b e f a e b c d f c e 2. Give the incidence matrix and incidence list of the graph G. (5 marks)
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is required in your own solution for assignment 1. Floyd’s Algorithm • Graph Problem: All-Pairs Shortest Path • Input: A weighted graph denoted by adjacency matrix W . (The vertices are assumed to be numbered from 1 to n) • Output: Matrix D containing the length of the paths (or distances) between each vertex in the graph. • Input Size: matrix W . 1 2 3 4 5 6 7 The number of vertices in the graph‚ in other words‚ the dimension of the Floyd-Warshall(W ) n ← rows(W ) D←W
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operation research notes Q1 a. Explain the role of Graphs and Diagrams b. What are the Types and General rules for graphical representation of data? Answer: Role of Graphs: Because graphs provide a compact‚ rhetorically powerful way of representing research findings‚ recent theories of science have postulated their use as a distinguishing feature of science. Studies have shown that the use of graphs in journal articles correlates highly with the hardness of scientific fields‚ both across
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Details | Page number | 1.0 Article Summary | 3 | 2.0 Introduction | 3 | 3.0 Analysis | | 3.1 Demand and Supply | 4-6 | 3.2 Substitute | 6 | 3.3 Shortage | 7 | 3.4 Elasticity | 8-9 | 3.5 Price ceiling | 10 | 3.6 Consumer and producer surplus | 11-13 | 3.7 Tax | 13-14 | 4.0 Conclusion | 15 | References | 16-17 | | | 1.0 Article Summary The article “Consumers complain cooking oil sold at higher than fixed price” which was published on November 27‚ 2012 talks about
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Math 135 Final Exam Study Guide The graph of a function is given. Follow the directive(s). 1) y 5 (0.5‚ 2) (3.5‚ 2) 5 (6‚ -1.1) x -5 (-5‚ -3) (-4‚ -3) -5 (a) List all the intervals on which the function is increasing. (b) List all the intervals on which the function is decreasing. (c) List all the intervals on which the function is constant. (d) Find the domain. (e) Find the range. (f) Find f(-5). (g) Find f(6). (h) Find x when f(x) = 0. (i) Find the x-intercept(s). (j) Find the y-intercept(s)
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Logan’s Logo So Logan has devised a logo for her company which is a square divided into 3 sections with 2 functions. Our objective is to find what functions fit the two curves on her logo and also make it fit on two other sizes of her logo. Just looking at the shape of the lines 2 types of functions immediately jump into my head‚ sinusoidal and cubic. I first traced a grid onto the original copy of the logo I was given in order to get points to start trying to form a function to match the design
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Lesson Plan Template - Overview Subject: Mathematics Grade: 4/5 Year old Preschool Topic: Counting M&M’s Duration: Monday- Through Wednesday Goals/Objectives: | This is what students will be able to know or do at the end of the lesson. | Standards Covered: | Standards might be by state (visit your State Department of Education website)‚ Common Core (http://www.corestandards.org)‚ NAEYC (http://www.naeyc.org) or even performance-based. Standards are the knowledge or skills that
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Section Topic To Do Anticipated Completion Date 01.01 Functions and Their Properties Lesson (Section 1.2 of your text)‚ Practice Problem‚ Submitted Assignment 8/28 01.02 Graphs of Functions Lesson (Section 1.2 of your text)‚ Practice Problem‚ Submitted Assignment 8/28 01.03 Building Functions from Functions Lesson (Section 1.4 of your text)‚ Practice Problem‚ Submitted Assignment 8/30 01.04 Inverse Functions Lesson (Section 1.5 of your text)‚ Practice Problem‚ Submitted
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1. 7.5/8 The height in metres of a ball dropped from the top of the CN Tower is given by h(t)= -4.9t2+450‚ where t is time elapsed in seconds. (a) Draw the graph of h with respect to time (b) Find the average velocity for the first 2 seconds after the ball was dropped h(0)=(0‚450)‚ h(2)=(2‚430.4) = (430.4-450)/(2-0) = -9.8m/s √ (c) Find the average velocity for the following time intervals (1) 1 ≤ t ≤ 4 h(1)=(1‚445.1) h(4)=(4‚371.6) = (371.6-445.1)/(4-1) = -24.5m/s √ (2) 1 ≤ t ≤ 2 h(1)=(1‚445
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