SCIE1000 Lecture 1: Chapters 1 and 2 - Making mathematical models

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blueclam798

1 Jul 2018

School

Department

General Science

Course

SCIE1000

Professor

Peter Adams

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Chapters 1 and 2 - Making mathematical models !

Important units !

Parts of a graph !

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Document Summary

Chapters 1 and 2 - making mathematical models. When asked to develop a mathematical model, follow the following steps. Nd a mathematical model for the concentration of a drug in a person"s blood: establish all the factors that a ect the variable being measured. Eg: factors a ecting the concentration of drug in blood: weight of person, time since taking the drug, mass of drug consumed, establish the e ect of each factor on the blood concentration value. As weight of person increases = drug concentration in blood decreases. As time since taking drug increases = drug concentration in blood decreases. As mass of drug increases = drug concentration in blood increases: establish a number of equations that display the above e ects. We know that as weight and time increases, drug concentration decreases. Hence, weight and time have to either be subtracted from the equation or used to divide.

Related Questions

Recursion Question 5. In the following question, you will be asked to program the following using recursion. If you have an iterative solution, you may use it, but the most you can get for the question will be half credit. (5) points) Consider the following mathematical function h which operates on integers. (1, if n < 2 h(n) = n(n-1) +n if n > 2 and n is even han -2) +2*n if n > 2 and n is odd In Java, use recursion to write a method h which takes as input an int n and returns h (n). public static int h(int n) {

34. Which line of code would you add to the Graph.java (code 5) on line 18 to pick two random nodes from your array of nodes? These will then be connected to each other. N.B. Math.random() returns a real number (double) between 0 and 1. (A) GraphNode nodel = graph[ (int) (Math.random() *n)]; GraphNode node2 = graph[ (int) (Math.random() *n)]; (B) GraphNode nodel = graph[ (int) Math.random() *n); GraphNode node2 = graph [ (int) Math.random() *n); (C) GraphNode nodel = graph [Math.random() *n]; GraphNode node2 = graph [Math.random() *n]; (D) int pos = (int) Math.random() *n; GraphNode nodel = graph [pos]; GraphNode node2 = graph [pos]; (E) int pos = (int) (Math.random() *n); GraphNode nodel = graph [pos]; GraphNode node2 = graph [pos];

33. Base10 is the set of numbers created from the digits {0,1,2,3,4,5,6,7,8,9}. Whereas base2, which is the set of numbers created with {0,1}. We could similarly define base; as the ordered set of characters created from {X,Y,Z}. What is the following basez number, Yxz, in base ? Random graph For this section you will need to look at the classes Graph and GraphNode present in the appendix. A Graph consists of a number of nodes, each of which has connections to other nodes in the graph. You can think of nodes as a representation of a person in a social network (e.g. Facebook). The ArrayList connectedTo variable in GraphNodes is the list of friends that particular person has. For example, in the following graph, the node O is friends with node 1 and 2. On the other hand, node 2 and node 1 are not friends, hence the lack of link. 0-0 In the constructor of the Graph, the process of connecting nodes is randomized. Moreover, we will not allow a node to be connected to itself and we are going to assume that the arguments passed to the Graph constructor respect the following conditions: n > 2, and n > nbConnections. Pay close attention to the character order

SCIE1000 Lecture 1: Chapters 1 and 2 - Making mathematical models

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