Graphs 1‚ 2‚ 3‚ and 4 show the waveforms for the flute‚ violin‚ piano‚ and oboe. The Fourier Series can be used to explain why each of the instruments have their own unique sound. The flute‚ violin‚ piano and oboe have different combinations of frequencies as each waveform is made of an unique combination of sine and cosine waves‚ and this creates distinct waveforms and allows each instrument to have a unique sound. Recall that the formula of the Fourier Series is f(x)=a_0+∑_(k=1)^∞▒(a_k cos〖πkx/T〗+b_k
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Misleading Graphs Team C Introduction to Statistics—QNT/273 February 7‚ 2011 Jeffrey McDonough Misleading Graphs “Graphs give a visual representation that enables readers to analyze and interpret data more easily than they could simply by looking at numbers. However‚ inappropriately drawn graphs can misrepresent the data and lead the reader to false conclusions” (Bluman‚ 2009‚ p.76). Some methods used by graph makers to mislead consumers are truncated axis starting points and using two
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Trenerry §5 Graph Theory Loosely speaking‚ a graph is a set of dots and dot-connecting lines. The dots are called vertices and the lines are called edges. Formally‚ a (finite) graph G consists of A finite set V whose elements are called the vertices of G; A finite set E whose elements are called the edges of G; A function that assigns to each edge e ∈ E an unordered pair of vertices called the endpoints of e. This function is called the edge-endpoint function. Note that these graphs are not related
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Graphs and Function What is the relation between the graphs and function and how was it applied in the real world? Graphs are frequently used in national magazines and newspaper to present information about things such as the world’s busiest airports (O’Hare in China is first‚ Heathrow in London is sixth)‚ about the advertising-dollar receivers in the United States (newspaper are first‚ radio is fourth) and about NCAA men’s golf team title winner (Yael is first‚ Houston is second). The
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NAME_________________________________ STAMP________________ PERIOD____ PICTURES & GRAPHS A. The Atom 1. Calculate the average atomic mass using the spectrum below. 2. Answer the questions regarding the energy level diagram shown. a) The emission lines for the series above are in the IR‚ Vis and UV regions. Match the series with the region and justify your choice (FYI – AP you do not need to memorize the names of the series. IB will need to know then for next year). b) Would the wavelength
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Tree definitions If you already know what a binary tree is‚ but not a general tree‚ then pay close attention‚ because binary trees are not just the special case of general trees with degree two. I use the definition of a tree from the textbook‚ but bear in mind that other definitions are possible. Definition. A tree consists of a (possible empty) set of nodes. If it is not empty‚ it consists of a distinguished node r called the root and zero or more non-empty subtrees T1‚ T2‚ …‚ Tk such that there
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Graph theory - the study of graphs and networks‚ is often considered part of combinatorics‚ but has grown large enough and distinct enough‚ with its own kind of problems‚ to be regarded as a subject in its own right.[12] Graphs are one of the prime objects of study in discrete mathematics. They are among the most ubiquitous models of both natural and human-made structures. They can model many types of relations and process dynamics in physical‚ biological and social systems. In computer science‚
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increased‚ the acceleration also increases. The acceleration is directly proportional to the sine of the incline angle‚ (. A graph of acceleration versus sin( can be extrapolated to a point where the value of sin( is 1. When sin is 1‚ the angle of the incline is 90°. This is equivalent to free fall. The acceleration during free fall can then be determined from the graph. Galileo was able to measure acceleration only for small angles. You will collect similar data. Can these data be used in
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WHAT IS A FLANNEL GRAPH. This teaching tool is called by different names: Visual Board Frick Board Slap Board Felt Board Choreograph Videograph The tool consists of only two Parts - a board covered with flannel and objects having fluzzy and napped backing. The principle involved is the interlooking of fibres of two rough or hairy surfaces‚ so that the pieces pressed on to a background which is hard and vertical will stay. It can be illustrated on a larger scale by pressing two
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package to management at EA. Look at the line graph above. What has happened to competition in the Chinese car industry over the last two years? Task 2. 1. Work In groups of three. You need to devise a cost-cutting programme in order to reduce manufacturing costs and boost productivity at EA. 1 group: look at page 146 2 group: look at page 153 3 group: look at page 157 2. Present your cost-cutting package to management at EA. Use figures and graphs where
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