Eulerian Study guides, Revision notes & Summaries

h Question carries 2 marks. Q.1 If h is any hashing function and is used to hash n keys in to a table of size m, where n<=m, the expected number of collisions involving a particular key x is : (A) less than 1. (B) less than n. (C) less than m. (D) less than n/2. Ans:A Q.2 Let A be an adjacency matrix of a graph G. The th ij entry in the matrix K A , gives (A) The number of paths of length K from vertex Vi to vertex Vj. (B) Shortest ...

Mechanics of Fluids Chapter 1: Basic Considerations Sections 1.4 – 1.7 1. The specific weight of air at 5 km is nearest: (A) 6.14 N/m3 (B) 6.66 N/m3 (C) 7.26 N/m3 (D) 8.22 N/m3 2. The specific gravity of an unknown liquid is known to be 1.26. The liquid is most likely: (A) Glycerin (B) Carbon tetrachloride (C) Mercury (D) Water 3. Estimate the torque needed to rotate the inner cylinder at 1000 rpm if SAE-30 oil at 40°C fills the gap. Assume a linear velocity distribution in the gap. N...

A-level FURTHER MATHEMATICS Paper 3 Discrete Friday 7 June 2024 Afternoon Time allowed: 2 hours Materials  You must have the AQA Formulae and statistical tables booklet for A-level Mathematics and A-level Further Mathematics.  You should have a graphical or scientific calculator that meets the requirements of the specification.  You must ensure you have the other optional Question Paper/Answer Book for which you are entered (either Mechanics or Statistics). You will have 2 hou...

AS FURTHER MATHEMATICS Paper 2 Discrete Friday 17 May 2024 Afternoon Time allowed: 1 hour 30 minutes Materials  You must have the AQA Formulae and statistical tables booklet for A‑level Mathematics and A‑level Further Mathematics.  You should have a graphical or scientific calculator that meets the requirements of the specification.  You must ensure you have the other optional Question Paper/Answer Book for which you are entered (either Mechanics or Statistics). You will ha...

We can often reduce the apparent complexity the general form of the conservation equations by: CORRECT ANSWERS: making justifiable assumptions. The approach of picking a few equations and hoping that they will apply is called: CORRECT ANSWERS: an ad hoc approach. Making justifiable assumptions and approximations in engineering problem solving often requires: CORRECT ANSWERS: a certain amount of skill and experience. When using Eulerian approach, the control volume will: CORRECT ANSW...

EDEXEL further maths D1 QUESTIONS WITH COMPLETE ANSWERS Dijkstra's algorithm - ANSWER name this algorithm: 1) give start vertex label 0 2) give each vertex connected to start vertex a working value 3) find smallest working value and give it its permanent label 4) update working values at any unlabelled vertex that can be reached from V 5) repeat steps 3 and 4 till destination vertex given permanent label Prim's algorithm - ANSWER name this algorithm: 1) choo...

Department of Mathematics Courses of Study: Minor Major (B.A.) Combined B.A./M.A Master of Arts Doctor of Philosophy Objectives Undergraduate Major As our society becomes more technological, it is more affected by mathematics. Quite sophisticated mathematics is now central to the natural sciences, to ecological issues, to economics, and to our commercial and technical life. A student who takes such general level courses as MATH 5, 8, 10, 15, or 20 will better understand the world ...

Lecture notes for the module 'MAT 3043 Graphs and Networks' in the Mathematics course. Topics covered in the notes include: - Graphs - Connectedness - Eulerian and Hamiltonian Graphs - Trees - Planar Graphs and Geometric Dual - Graph Colourings - Matchings and Networks Definitions in pink, formulae and equations in green, examples in blue.

This document offers a concise overview of key concepts in graph theory, including graph representation, Eulerian and Hamiltonian graphs, and algorithms for constructing minimum spanning trees. It covers essential topics such as matrix representation of graphs and introduces algorithms like Kruskal's algorithm for minimum spanning trees. Whether you're a student or enthusiast interested in graph theory, this guide provides a clear and accessible introduction to fundamental concepts and algorit...

comprehensive and accessible textbook designed to introduce students to the fundamental concepts and principles of discrete mathematics. Written by leading experts in the field, this book serves as an invaluable resource for mathematics, computer science, and engineering students, as well as professionals seeking a solid understanding of discrete mathematics. The book begins by establishing a strong mathematical foundation, presenting the basic principles of logic, set theory, and mathematica...