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
Premium Group Graph theory
BAR DIAGRAMS Bar diagrams are one of easiest and the most commonly used devices of presenting most of the business and economic data. These are satisfactory for categorical data or series. They consist a group of equidistant rectangles‚ one of each group or category of the data in which the values or the magnitudes are represented by the length or height of the rectangles‚ the width of the rectangles being arbitrary and immaterial. These diagrams are called one-dimensional because in such diagrams
Premium Length Distance Dimension
objective quantifiable characteristics. In the case‚ energy bar business is divided by age‚ gender‚ calories need‚ preference and so on. Usage segmentation means identifying market segments according to the way(s) in which the product or service is to be used. In the case‚ the motivation changed from providing a convenient energy boost for athletes to generalizing better “performance” during the day. Key customer motivations and unmet needs Energy Bar was positioned as athletic energy food‚ which was distributed
Premium Marketing
Find an example online of a graph used in real-life (include the link that goes directly to the webpage with the graph). Describe at least one mathematical feature of the graph (e.g. shape‚ slope‚ coordinates‚ axes‚ quadrants‚ etc.) and how the feature/graph can help us to analyze the real-life situation. Graph for Health Care Spending http://www.kff.org/insurance/snapshot/OECD042111.cfm In this link‚ there are several graphs from various perspectives regarding Health Care Spending in the United
Premium Science Mathematics Graph theory
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
Premium
The bar chart describes the changes of birth rate in five countries in 1970 and 2000. Summarize the information by selecting and reporting the main features‚ and make comparisons where relevant. The bar chart shows the changes in birth rate in five different countries in two separate years. According to the chart ‚ only Somalia saw an increase in the birth rate between the two years. (c) There was a slight rise in the birth rate of Somalia from 3.2% to 3.7 % in 2000‚ by which time the country
Premium Bar chart Chart Pie chart
insatisfecho‚ aquel que busca un bar diferenciado y que al mismo tiempo lo coloque en contacto con otra cultura la que normalmente no se accede con facilidad. Así nació " Mr. Ice"‚ un bar- nevería. "Mr. Ice" posee dos propuestas diferentes‚ destinadas a públicos distintos‚ pero siempre atendiendo a sus necesidades con una actitud de servicio única y de calidad. Por esta razón decidimos que nuestro bar- nevería sea en el horario de la tarde‚ pasando luego a ser un bar que ofrece la posibilidad de distenderse
Premium Empresa Medio ambiente Conocimiento
| | | | | 420 | | | | | 450 | | | | | 480 | | | | | 510 | | | | | 540 | | | | | 570 | | | | | 600 | | | | | 630 | | | | | 660 | | | | | Make two graphs of your data. On one graph plot the data from the pure water. On the other graph plot the data from the salt solution. On both plot temperature on the y-axis and time on the x-axis. B. Record the freezing point of the pure water and the freezing point of the salt solution. Freezing
Premium Water Freezing-point depression Temperature
The Impact of Smoking Bans on the Hospitality Industry: New Evidence from Stock Market Returns Abstract The vast majority of over 150 studies conclude that smoking bans do not have adverse effects on the revenues‚ profits‚ or employment of hospitality industry firms. However‚ several important criticisms have recently been raised which call into question many of the prior results. I examine the market value impact of a proposed smoking ban using a sample and methodology not subject to the
Premium Scientific method Hospitality industry Stock market
------------------------------------------------- ------------------------------------------------- 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
Premium Velocity Analytic geometry Kinematics