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
Premium Musical instrument Music Sound
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
Free Dimension Cartesian coordinate system Number
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
Premium Graph theory
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
Premium Mathematics Function Polynomial
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
Premium Acid dissociation constant Chemical reaction Chemical kinetics
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
Premium Graph theory Tree
Chapter 1 Questions 1. Identify some new features in the 2010 version of Excel. Some new features include sparklines and slicers‚ and improvements to PivotTables and other existing features can help you to discover patterns or trends in your data that can lead to more-informed decisions. 2. Why would you use conditional formatting? Conditional formatting features reflect graphically the values for salespersons and customers relatives to each other. It is used as a comparison tool such as in the
Premium Finance Economics Future
Strategic Information Systems to keep Microsoft ahead in the gameDecisions are classified into structured (repetitive) and unstructured (not routine). Thisinformation will allow the organisation to develop the best strategy to achieving orfulfilling its mission. Most scholars in strategic management are familiar with thedistinction between "content" research which deals with the content of strategies and"process" research which examines the strategic decision process and the factors thataffect it
Premium Management Strategic management Decision making
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‚
Premium Mathematics
SIntroduction to Microsoft Excel 2007 Class learning objectives 1. What is Excel? • Spreadsheet uses & samples • Touring the Excel window • Learning important definitions • Navigating around the workbook 2. The Basics • Entering & editing data in cells • Inserting cells‚ rows‚ & columns • Formatting cells • Renaming‚ adding‚ & reorganizing worksheets 3. Formulas • Using mathematical operators • Using four sum methods • AutoCalculate 4. Customizing Your Spreadsheet • Gridlines 5. Finishing Up
Premium Microsoft Office Spreadsheet Microsoft