DESCRIBING GRAPHS AND CHARTS The function of a line graph is to describe a TREND pictorially. You therefore should try and describe the trend in it. If there are many lines in the graph(s)‚ then just generally describe the trend. If there is only one or two‚ then use more detail. So‚ describe the movement of the line(s) of the graph giving numerical detail at the important points of the line. To describe the movement‚ there is some language which will always be useful. Below is a list of language
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Graphs - Introduction Terminology Graph ADT Data Structures Reading: 12.1-12.2 COSC 2011‚ Summer 2004 Definition • A graph is a pair (V‚ E)‚ where – V is a set of nodes‚ called vertices – E is a collection of pairs of vertices‚ called edges • Both are objects (i.e. store data) G E B F A Vertex city computer web page airport C D COSC 2011‚ Summer 2004 H Edge road cable hyperlink flight Example Applications • • • • • Electronic circuits – Printed circuit board – Integrated circuit Transportation
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objective of this experiment was to test the effect of a specialized type of diffusion called osmosis‚ “which involves in selective transport of water molecules across a selectively permeable membrane” (Lab Manual 2nd edition). It was hypothesized that osmosis will occur when there is an uneven distribution of solute in a solvent. The more abundant the solute is in solvent‚ the higher the rate of osmosis through the diffusion gradient forming a hypertonic or hypotonic solution. Solvent with equal
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Osmosis Experiment Subject: Professor Egg-avier Duration: 3 weeks (Oct 2nd – Oct 16th) Week 1 On October 2nd my group was giving a raw egg (weighing 58.8 grams) and placed it into a clear mason jar with 200mL of vinegar. The ph levels of our vinegar equaled a 2 which tells us that vinegar is a fairly acidic liquid. Once submerged in the vinegar‚ little bubbles began to appear around the egg’s shell. We believed this to be carbon dioxide escaping from the shell. We left our egg to sit in the
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1.2 Basics of Functions and Their Graphs Introduction to Relations Domain and Range of a Relation Any set of ordered pairs (x‚y) is called a relation in x and y. Furthermore‚ The set of first components in the ordered pairs is called the domain of the relation. The set of second components in the ordered pairs is called the range of the relation. Definition of Function and Vertical Line Test Definition of a Function Given a relation in x and y‚ we say “y is a function of x” if for every
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Graphs‚ Groups and Surfaces 1 Introduction In this paper‚ we will discuss the interactions among graphs‚ groups and surfaces. For any given graph‚ we know that there is an automorphism group associated with it. On the other hand‚ for any group‚ we could associate with it a graph representation‚ namely a Cayley graph of presentations of the group. We will first describe such a correspondence. Also‚ a graph is always embeddable in some surface. So we will then focus on properties of graphs
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Osmosis Rates in Artificial Cells Daniel George Department of Biology Grand Valley State University 1 Campus Drive Allendale‚ MI 49401 georged@mail.gvsu.edu Abstract The lab for this paper was conducted for the topic of osmosis‚ the movement of water from high to low concentration. Five artificial cells were created‚ each being filled with different concentrated solutions of sucrose. These artificial cells were placed in hypertonic‚ hypotonic‚ or isotonic solutions for a period of 90
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How many optimal solutions are there for a given problem ? - 4- Combinatorial Optimization (C.O.) problems Different fields in Optimization: Linear Programming Non-Linear Optimization Integer – Mixed Linear Programming Graph / network optimization Routing‚ Scheduling‚ Supply Chain‚… Combinatorial optimization studies optimization on finite and discrete domains. Find the minimum s* of f on a finite set S. f ( s ) Min f ( s) sS - 5- Characteristics
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------------------------------------------------- ------------------------------------------------- Speed Speed is defined as a measure of the distance an object travels in a given length of time. The average speed of an object can be determined from the equation below: Thus‚ if a car travels 100 meters in 5 seconds its average speed can be calculated as; Average speed = 100/5 = 20 meters per second Average speed is used to give the speed of an object over a given interval of time‚ if
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Experimental Laboratory Report: An investigation into the rate of osmosis Liana Gohery - 98332250 12/12/2014 Word count - ………3000……….. 1. Abstract This study was conducted to investigate the effect of concentration gradients on the rate of osmosis. Osmosis is the cellular transport of water‚ this study was conducted to show the significance of the rate at which this occurs. Dialysis bags were filled with three different concentrations of sucrose solutions and two with water. They were
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