Dimensional Analysis: New Applications
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en-us2015 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemTue, 01 Dec 2015 14:45:53 GMTTue, 01 Dec 2015 14:45:53 GMTNew applications in the Dimensional Analysis categoryhttp://www.mapleprimes.com/images/mapleapps.gifDimensional Analysis: New Applications
http://www.maplesoft.com/applications/category.aspx?cid=203
Dimensional Analysis for Cooking a Turkey
http://www.maplesoft.com/applications/view.aspx?SID=34947&ref=Feed
<p>This worksheet is used to investigate the accuracy of the traditional rule of thumb that turkey should be cooked in a 350°F oven for 20 min/lb.</p><img src="/view.aspx?si=34947/thumb.jpg" alt="Dimensional Analysis for Cooking a Turkey" align="left"/><p>This worksheet is used to investigate the accuracy of the traditional rule of thumb that turkey should be cooked in a 350°F oven for 20 min/lb.</p>34947Thu, 10 Dec 2009 05:00:00 ZMaplesoftMaplesoftPlotting Capabilities for Engineers
http://www.maplesoft.com/applications/view.aspx?SID=6979&ref=Feed
Maple contains an extensive set of visualization tools and options, including many plots and options commonly used by engineers. This Tips & Techniques document demonstrates how to create and customize your plots using interactive techniques and command options, with emphasis on options used in engineering contexts.<img src="/view.aspx?si=6979/thumb.gif" alt="Plotting Capabilities for Engineers" align="left"/>Maple contains an extensive set of visualization tools and options, including many plots and options commonly used by engineers. This Tips & Techniques document demonstrates how to create and customize your plots using interactive techniques and command options, with emphasis on options used in engineering contexts.6979Thu, 04 Dec 2008 04:00:00 ZMaplesoftMaplesoftPi Theorem Application
http://www.maplesoft.com/applications/view.aspx?SID=5630&ref=Feed
The worksheet implements algorithms from "Applied Dimensional Analysis and Modeling" by Thomas Szirtes for determining the feasible Pi groups for describing a physical system. Several examples are included to demonstate the technique.<img src="/view.aspx?si=5630/pitheorem_68.jpg" alt="Pi Theorem Application" align="left"/>The worksheet implements algorithms from "Applied Dimensional Analysis and Modeling" by Thomas Szirtes for determining the feasible Pi groups for describing a physical system. Several examples are included to demonstate the technique.5630Mon, 28 Jan 2008 00:00:00 ZLee PartinLee PartinThe Scientific Error Analysis Package
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The new ScientificErrorAnalysis package provides representation and construction of numerical quantities that have a value and associated error, which is a measure of the degree of precision to which the quantity's value is known. Given the errors of base quantities, you can automatically compute the errors of quantities derived from them, as well as correlations and covariances between them.<img src="/view.aspx?si=4386//applications/images/app_image_blank_lg.jpg" alt="The Scientific Error Analysis Package" align="left"/>The new ScientificErrorAnalysis package provides representation and construction of numerical quantities that have a value and associated error, which is a measure of the degree of precision to which the quantity's value is known. Given the errors of base quantities, you can automatically compute the errors of quantities derived from them, as well as correlations and covariances between them.4386Thu, 15 May 2003 14:08:42 ZMaplesoftMaplesoftPresenting Scientific and Engineering Notation
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This worksheet presents real numbers in scientific notation and in engineering notation.
<img src="/view.aspx?si=4307//applications/images/app_image_blank_lg.jpg" alt="Presenting Scientific and Engineering Notation " align="left"/>This worksheet presents real numbers in scientific notation and in engineering notation.
4307Tue, 17 Sep 2002 16:04:38 ZOtto WilkeOtto WilkeThe ScientificConstants Package
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The new ScientificConstants package in Maple 8 provides the values, symbols, uncertainty and units of over 13,000 physical constants. Never again do you have to search the internet or grab a reference book to look up such values. This extensive package gives you access to the basic chemical properties of any element or isotope from the Periodic Table. Also available are 70 physical constants, such as Planck's constant, the Newtonian constant of gravitation, magnetic flux quantum, and speed of light in a vacuum. If a specific physical constant that you need is not included, simply add the constants you commonly use to Maple's database. This flexible package also allows you to modify properties or change the system associated with a constant. The ScientificConstants package in conjunction with the comprehensive Units package introduced in Maple 7 together provide valuable tools for scientists and engineers.<img src="/view.aspx?si=4260//applications/images/app_image_blank_lg.jpg" alt="The ScientificConstants Package" align="left"/>The new ScientificConstants package in Maple 8 provides the values, symbols, uncertainty and units of over 13,000 physical constants. Never again do you have to search the internet or grab a reference book to look up such values. This extensive package gives you access to the basic chemical properties of any element or isotope from the Periodic Table. Also available are 70 physical constants, such as Planck's constant, the Newtonian constant of gravitation, magnetic flux quantum, and speed of light in a vacuum. If a specific physical constant that you need is not included, simply add the constants you commonly use to Maple's database. This flexible package also allows you to modify properties or change the system associated with a constant. The ScientificConstants package in conjunction with the comprehensive Units package introduced in Maple 7 together provide valuable tools for scientists and engineers.4260Mon, 15 Apr 2002 16:08:32 ZMaplesoftMaplesoftUnits and dimensions in problems of calculus and ODEs
http://www.maplesoft.com/applications/view.aspx?SID=4138&ref=Feed
The Units package in Maple 7 can incorporate units in solutions to problems involving addition, multiplication and division of physical quantities. However, the Units package also keeps track of units throughout computations involving derivatives, integrals and differential equations. In this application, we show you how. Examples will include computing the speed of projectiles and analysing a simple harmonic oscillator.<img src="/view.aspx?si=4138//applications/images/app_image_blank_lg.jpg" alt="Units and dimensions in problems of calculus and ODEs" align="left"/>The Units package in Maple 7 can incorporate units in solutions to problems involving addition, multiplication and division of physical quantities. However, the Units package also keeps track of units throughout computations involving derivatives, integrals and differential equations. In this application, we show you how. Examples will include computing the speed of projectiles and analysing a simple harmonic oscillator.4138Mon, 01 Oct 2001 14:31:46 ZMaplesoftMaplesoftGenerating Sets of Dimensionless Products
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Reducing the number of variables in an experiment reduces the number of trials necessary to establish the relationship between variables. Dimensional analysis is used to replace an equation relating n variables with an equation relating a complete set of n-r dimensionless products. The behavior of a prototype can be predicted from the behavior of its model provided the dimensionless products of the prototype are equal in value to those of the model.<img src="/view.aspx?si=4133//applications/images/app_image_blank_lg.jpg" alt="Generating Sets of Dimensionless Products" align="left"/>Reducing the number of variables in an experiment reduces the number of trials necessary to establish the relationship between variables. Dimensional analysis is used to replace an equation relating n variables with an equation relating a complete set of n-r dimensionless products. The behavior of a prototype can be predicted from the behavior of its model provided the dimensionless products of the prototype are equal in value to those of the model.4133Mon, 24 Sep 2001 10:31:26 ZOtto WilkeOtto WilkeUnits and Dimensional Management in Maple
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Maple provides the most comprehensive package in the software industry for managing units and dimensions. Problems in science and engineering can now be fully managed with appropriate dimensions in any modern unit system (and even some historical systems!), including MKS, FPS, CGS, Atomic and more. Over 500 standard units are recognized by Maple's Units package. A convenient dialog box located in the Edit menu converts quantities between unit systems automatically.
The Units package offers far more than simple conversions between units of various systems. It preserves the user's chosen units throughout complex computations. It knows the base dimensions of all standard quantities measured in science and engineering. Users also have the option to create their own units and dimensions.<img src="/view.aspx?si=4036//applications/images/app_image_blank_lg.jpg" alt="Units and Dimensional Management in Maple" align="left"/>Maple provides the most comprehensive package in the software industry for managing units and dimensions. Problems in science and engineering can now be fully managed with appropriate dimensions in any modern unit system (and even some historical systems!), including MKS, FPS, CGS, Atomic and more. Over 500 standard units are recognized by Maple's Units package. A convenient dialog box located in the Edit menu converts quantities between unit systems automatically.
The Units package offers far more than simple conversions between units of various systems. It preserves the user's chosen units throughout complex computations. It knows the base dimensions of all standard quantities measured in science and engineering. Users also have the option to create their own units and dimensions.4036Mon, 13 Aug 2001 13:52:48 ZMaplesoftMaplesoft