The Path to Document Preparation Happiness A Sample Lab Report with L A TEX

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The Path to Document Preparation Happiness A Sample Lab Report with L A TEX Brad A. Finney Humboldt State University R. U. Ready University of Orick April 24, 2016

Abstract A re-engineering of your current world view will reaffirm your online presence enabling a more effervescent solution. Upscaling voluminous networking exchange solutions will result in your achieving an excellent systemic electronic data interchange synchronization, thereby exploiting technical environments for mission critical broad-based capacity-constrained systems.

i Contents List of Figures List of Tables ii iii 1 Introduction 1 2 Background 1 3 Methodology 2 3.1 Analytic Solution Procedures.......................... 2 3.2 Numerical Solution Procedures......................... 2 4 Application 3 References 9

ii List of Figures 1 Cross section view and dimensions of groundwater basin............ 6 2 Cross section view and dimensions of groundwater basin (user drawn border). 6 3 Fortran source code for the integration algorithm................ 7

iii List of Tables 1 Runge Kutta Fehlberg timestep control algorithm parameters......... 4 2 Surge tank system component dimensions.................... 5

1 INTRODUCTION 1 1 Introduction A re-engineering of your current world view will reaffirm your online presence enabling a more effervescent solution. Upscaling voluminous networking exchange solutions will result in your achieving an excellent systemic electronic data interchange synchronization, thereby exploiting technical environments for mission critical broad-based capacity-constrained systems. This will fundamentally cause a morphing into a well designed and actionable information infrastructure whose semantic content is downright null. To more fully clarify the current concept, a few aggregate issues will require addressing to facilitate a distributed communication venue. In integrating non-aligned structures into existing legacy systems, an even more effervescent (bubbly) gateway blueprint in a backward compatible package of tangible and immeasurable strategic value will result in right-sizing the conceptual frameworks, but only when thinking outside the box. This being said, the ownership issues inherent in dominant thematic implementations cannot be understated vis-a vis David Bowie, for instance. 2 Background A re-engineering of your current world view will reaffirm your online presence enabling a more effervescent solution. Upscaling voluminous networking exchange solutions will result in your achieving an excellent systemic electronic data interchange synchronization, thereby exploiting technical environments for mission critical broad-based capacity-constrained systems. This will fundamentally cause a morphing into a well designed and actionable information infrastructure whose semantic content is downright null. To more fully clarify the current concept, a few aggregate issues will require addressing to facilitate a distributed communication venue. In integrating non-aligned structures into existing legacy systems, an even more effervescent (bubbly) gateway blueprint in a backward compatible package of tangible and immeasurable strategic value will result in right-sizing the conceptual frameworks, but only when thinking outside the box. This being said, the ownership issues inherent in dominant thematic implementations cannot be understated vis-a vis David Bowie, for instance. A re-engineering of your current world view will reaffirm your online presence enabling a more effervescent solution. Upscaling voluminous networking exchange solutions will result in your achieving an excellent systemic electronic data interchange synchronization, thereby exploiting technical environments for mission critical broad-based capacity-constrained systems. This will fundamentally cause a morphing into a well designed and actionable information infrastructure whose semantic content is downright null. To more fully clarify the current concept, a few aggregate issues will require addressing to facilitate a distributed

3 METHODOLOGY 2 communication venue. In integrating non-aligned structures into existing legacy systems, an even more effervescent (bubbly) gateway blueprint in a backward compatible package of tangible and immeasurable strategic value will result in right-sizing the conceptual frameworks, but only when thinking outside the box. This being said, the ownership issues inherent in dominant thematic implementations cannot be understated vis-a vis David Bowie, for instance. 3 Methodology To more fully clarify the current concept, a few aggregate issues will require addressing to facilitate a distributed communication venue. In integrating non-aligned structures into existing legacy systems, an even more effervescent (bubbly) gateway blueprint in a backward compatible package of tangible and immeasurable strategic value will result in right-sizing the conceptual frameworks, but only when thinking outside the box. 3.1 Analytic Solution Procedures Upscaling voluminous networking exchange solutions will result in your achieving an excellent systemic electronic data interchange synchronization, thereby exploiting technical environments for mission critical broad-based capacity-constrained systems. This will fundamentally cause a morphing into a well designed and actionable information infrastructure whose semantic content is downright null. Upscaling voluminous networking exchange solutions will result in your achieving an excellent systemic electronic data interchange synchronization, thereby exploiting technical environments for mission critical broad-based capacity-constrained systems. This will fundamentally cause a morphing into a well designed and actionable information infrastructure whose semantic content is downright null. 3.2 Numerical Solution Procedures Upscaling voluminous networking exchange solutions will result in your achieving an excellent systemic electronic data interchange synchronization, thereby exploiting technical environments for mission critical broad-based capacity-constrained systems. This will fundamentally cause a morphing into a well designed and actionable information infrastructure whose semantic content is downright null.

4 APPLICATION 3 4 Application Note that the first paragraph of a section is not indented. Paragraphs after the first automatically indented. This is the second paragraph, and you can see it is indented. One paragraph is separated from another by one or more blank lines in the raw L A TEX source file. You can control the line spacing of your L A TEXdocument by using the setspace package. The command \doublespacing (or \onehalfspacing) will produce doublespacing (or 1 and 1/2 spacing as in this document) in the body of the document, with single spacing remaining for figures and tables. If single spacing is desired in sections of the document, put those sections inside the commands \begin{singlespace}... \end{singlespace}. The setspace package allows arbitrary line spacing by placing text inside the commands \begin{spacing}{space}... \end{spacing}, where {space} is a number like 0.85 for less than full single spacing. Several kinds of lists are available. There are itemized lists that use bullets: This is the first item in the list. This is the second item. Since the text is longer than a single line, you can see that there is a hanging indent, with the bullet sitting out all by itself in the margin. It is easy to have nested lists, and the bullet or number changes styles automagically. This is the first item in the list. This isthesecond item. Since thetext islonger thanasingle line, youcanseethat there is a hanging indent, with the bullet sitting out all by itself in the margin. It is easy to have nested lists, and the bullet or number changes styles automagically. Another type of list is the enumerated list. This type of list has automatic numbering of the list item. 1. This is the first item in the list. 2. This is the second item. Since the text is longer than a single line, you can see that there is a hanging indent, with the item number sitting out all by itself in the margin. (a) This is the first item in the list. (b) This isthesecond item. Since thetext islonger thanasingle line, youcanseethat there is a hanging indent, with the bullet sitting out all by itself in the margin.

4 APPLICATION 4 Table 1: Runge Kutta Fehlberg timestep control algorithm parameters. Description Symbol Value Upper limit on allowable relative truncation error. An ǫ 1 1e-4 error exceeding this value requires the step to be repeated at a smaller stepsize Lower limit of a relative truncation error considered to ǫ 2 1e-6 be moderate. An error less than this value suggests that the stepsize can be increased Minimum step size h min 0.002 Description lists are also available. This type of list is like a paragraph with a leading bit of descriptive text and hanging indent. Itemized Lists: itemized lists that use bullets; Enumerated Lists: this type of list has automatic numbering of the list item. If the text is long enough, you will see the effect of the hanging indent. Citingreferencesinalongreportisoftenaburdensometask. L A TEXmakesthisabiteasier by allowing you to attach labels or names to bibliographic references. To cite that reference in the text, you just use the \citet or \citep command. The actual text for the reference citation and the label are defined at the end of the document with the \bibitem command. All of the \bibitem declarations are given in between an \begin{thebibliography} and an \end{thebibliography} command that actually generates the reference section of the report. The \usepackage{natbib} must be included at the beginning of the L A TEX file to allow citing references using the author/year style, Some examples of this citation style are given below. It can be shown that the BOD concentration will always be less than the COD concentration (Adams and West, 1992; Finney, 2005). Jones et al. (1991) found that a simple linear equation was often an adequate model for the relationship between COD and BOD. Tables and figures are a class of objects known as floats. Floats do not necessarily appear where they are defined. L A TEX decides where they will fit, and places them appropriately (usually!). Tables and figure titles will automagically be numbered and show up in list of tables and figures if you define them correctly.

4 APPLICATION 5 Table 2: Surge tank system component dimensions. Symbol Value Units Pipe length L 2000 feet Reservoir water level H 180 feet Surge tank diameter D 4 feet If you give a table or figure a L A TEX label, you can refer to that object latter by the label and not worry about the number automatically given to it by L A TEX. For example, I labeled the surge tank dimensions table dimensions. Now, whenever reference to Table 2 is needed, I just type Table \ref{dimensions}. If this table is moved around in the document, the table number will change, but I can still refer to the table using the label and always get the right table number. Figures are easy to include in your documents. The particular graphics file format that can be used depends on the version of L A TEX that you are using. Traditionally, L A TEX (the version that runs when you type latex filename at the command line) required that the graphic only be saved in encapsulated postscript (eps) format. Any good vector drawing program(adobe Illustrator, Corel Draw, Mayura Draw, Xfig, OpenOffice Draw) can produce figures in this format. However graphics files in portable document format (pdf) and the.jpg,.gif, and.png bitmap formats are in common use, and the pdfl A TEX program can use those type of graphic images. pdfl A TEX is the version of L A TEX that runs when you type pdftex filenameatthecommandline. NotethatL A TEXonlyaccepts.epsfiles, andpdfl A TEX only accepts.pdf,.jpg,.gif, and.png graphics files. To include a figure in the document, you must use the graphicx package by placing the command \usepackage{graphicx} at the start of the L A TEX source file. Figures have captions and labels exactly the same as figures. The figures will automatically be numbered and included in the list of figures at the beginning of the document. The border around Figure 1 was placed there automatically by L A TEX. If you like more space between the figure and the border, draw your own and don t tell L A TEX to draw one when you include the figure (as I did for Figure 2). You may need to include lines of text that should be printed exactly as they are listed in the source document (a few lines of Fortran code for example). This style of formatting is called verbatim mode and is illustrated in Figure 3. The program listing is placed in a table to keep it all together and allow proper citation. The thing that TEX is really good at is math. We can use math in the middle of sentences such as y = n i=1 x2 dx, which is called inlinemode math. Some people prefer to use

4 APPLICATION 6 50 m 1200 m 45 m Figure 1: Cross section view and dimensions of groundwater basin. 50 m 1200 m 45 m Figure 2: Cross section view and dimensions of groundwater basin (user drawn border).

4 APPLICATION 7 program demo implicit none integer::i,j,k... stop end program demo Figure 3: Fortran source code for the integration algorithm. the \begin{math}... \end{math} environment instead of just surrounding the equation in $s. In displaymath mode, the equation is set on a line by itself (Lamport, 1994). There are several different ways to denote displaymath mode, but the most popular and versatile is \begin{equation}... \end{equation}, which by produces an equation number. y = n i=1 x 2 dx (1) If you don t want an equation to be numbered, you can use the \begin{displaymath} environment instead of \begin{equation} environment. n z = y i i=1 A series of equations aligned on the equal sign is easy! x 4 = b x /a 4,4 (2) x 3 = [b 3 a 3,4 x 4 ]/a 3,3 (3) x 2 = [b 2 (a 2,3 x 3 +a 2,4 x 4 )]/a 2.2 (4) x 2 = [b 1 (a 1,2 x 2 +a 1,3 x 3 +a 1,4 x 4 )]/a 1,1 (5) You can easily typeset matrices, such as following: 1 C = 3 D T = [2 3 1] 2

4 APPLICATION 8 or suppose we want to show the row reduced echelon form of the matrix A a 1,1 a 1,2 a 1,3 a 2,1 a 2,2 a 2,3 a 3,1 a 3,2 a 3,3 is a 1,1 a 1,2 a 1,3 0 0 0 0 0 0 6 You can easily line up terms in a system of equations such as in the following example. 2x 1 +2x 2 = 4 x 1 3x 2 2x 3 = 6 3x 1 + x 2 +2x 3 = 2 An even easier example would be something like 3cos ( x y 2 ) = z 2exp ( x yz) = 2(x+y +z) Sometimes we need to mix math and text style material in the same equation as in the following example: k = αβ +γ where k = net algal growth rate (day 1 ) α = temperature rate coefficient β = nutrient controlled growth rate (day 1 ) γ = nominal growth rate (day 1 )

REFERENCES 9 References Adams, Robert L., and Tom E. West. 1992. Clarifier Design in Tropical Regions. Water Research, 44(3), pp201-208. Finney, Brad. 2005. Personal communication. Jones, Ed, David S. Bowles, and Bruce Beck. 1991. A Simplified Approach to Modeling BOD Removal in Trickling Filters. In, Mathematical Models of Wastewater Treatment Processes, P. Lessard, ed., Wiley, New York, 402p. Lamport, Leslie. 1994. L A TEX: A Document Preparation System. Addison Wesley, Massachusetts, 2nd Edition.