Category Archives: Samples

Operations on Symbolic Expressions Guide

Task: get basic knowledge of how to work with Symbolic Toolbox in the MATLAB software package (Part 2).

Operations on Symbolic Expressions

Once an expression or variable is declared as a symbolic object, we can perform standard mathematical operations such as given in the table below.

 Function Description Function Description horner(S) transforms S into the Horner nested polynomial format [N,D] = numden(S) returns two symbolic numerator and denominator expressions sym(S,’?’); where ? may be f,r,e, or d symbolic to numeric conversion: f is floating point, r = rational form, e = rational plus an error term, d = decimal expansion when followed by digits(N) poly2sym(c) converts the polynomial vector c into a symbolic polynomial pretty(S) produces a typeset type display A+B symbolic addition of A+B A/B symbolic division of A/B A*B symbolic multiplication of AB S^p symbolic power S^p A-B symbolic subtraction A-B

Example:

syms y
p1 = 1/(y-3);
p2 = 3*y/(y+2);
p3 = (y+4) *(y-3) *y;

% Now operate:

Solutions to Equations

To solve a single equation, we use:

That is, find what value of the independent variable makes ; var is optional.

– If more than one variable is present, the variable to solve for set with var is:

% Contains four variables

% Solve for

To solve a system of equations, use:

The var_{1}, …,var_{n}are the variables to solve for. They must be declared as symbolics using syms.

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The Example of Working with the Symbolic Toolbox in the MATLAB

Task: get basic knowledge of how to work with the symbolic toolbox in the MATLAB software package (Part 1).

Solution:

MATLAB is probably best known for its capability to perform numerical computations. This is particularly true when you consider the native capability of MATLAB itself. With the addition of the Symbolic Math Toolbox included in the student edition and the Extended Symbolic Math Toolbox, however, MATLAB can perform true symbol computations. MATLAB achieves its symbolic capability via the symbolic processor engine. Continue reading

A Guideon Pendulum Wave Effect in MapleSim

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Creation and Simulation of a Double Pendulum in MapleSim

Task: demonstrate the step-by-step creation and subsequent simulation of a double pendulum in MapleSim.

Solution:

For this example, we will need the following components from the multibody library:

• the fixed frame component
• the rigid body frame component
• the revolute joint component
• the rigid body component

Using Catia to Record the Results of Foot Pedal Analysis

Task: using Catia, record the results of foot pedal analysis in terms of the maximum displacement and the maximum von Mises stress in a table and comment on the results. The run time of the parabolic elements with element size of 0.1 could be substantial depending on the type of processor used.

Basics of Using InDesign: Part III

In the text below we continue talking about the basics of using InDesign. We remind you that the article is designed for students and beginners who are familiar with the basics of Adobe Photoshop, have initial skills in Adobe Illustrator or CorelDraw, and want to learn how to create multi-page text documents. In the following article you will learn how to embed files into InDesign.

With the help of InDesign, any task becomes possible – the layout of a brochure, a magazine with high-quality typography and professional design, annual reports with complex tables and infographics, books with hundreds of pages, and more. If you want to learn the basics of using InDesign, our articles are here for you! We have three parts of the tutorial available on our blog. If you read them attentively, we believe that you will easily learn how to use InDesign. Continue reading

Guide on How to Use InDesign: Part II

In this article we continue describing the basic information on how to use InDesign. With the help of Indesign you will be able to create amazing design templates, interactive documents in PDF format, and even impressive videos for Adobe Flash Player. With our guide you will learn how to use InDesign standard functions. This text is aimed at students and beginners that only have just started using the software and need basic information. Also, we consider that you already know how to work with graphic editors and modular grids. For more information we advise you to check the first part of this tutorial on our blog.

We hope that our guide will help you a lot! In addition, on our blog we frequently post solutions for assignments and guides on various subjects. You may find it helpful, especially when you are assigned a similar task. All materials are supported with screenshots, images, and detailed descriptions to help you get a better understanding of the subject. Continue reading

Guide on How to Use Adobe InDesign: Part I

InDesign, in our opinion, is one of the easiest and most convenient programs for creating multi-page editions. While it has a wide range of functions, it is very easy to learn how to use Adobe InDesign. Besides, the compatibility with other programs of the Adobe System makes it simply priceless for every designer. What can you do with InDesign? Usually it is used for creating booklets, catalogs, books, newspapers, magazines, etc. If you have a strong desire to learn how to use Adobe InDesign, this article should help you.

The text below briefly introduces the main design possibilities in Adobe InDesign. We have illustrated the text with screenshots and detailed descriptions to help you understand the information better. Hopefully, with our article you will easily understand how to use Adobe InDesign. Besides, on our blog we share more guides and sample tasks on architecture, design, programming, engineering, and more. So, don’t hesitate to find more helpful information right away! Continue reading

Dijkstra’s Shortest Path Algorithm Example

Dijkstra’s shortest path algorithm finds the shortest paths between all nodes of the graph. In this article we will describe the operation principle of Dijkstra’s algorithm, which finds optimal routes. The disadvantage of this algorithm is that it will not work correctly if the graph has negative edge weights. In this tutorial you can read Dijkstra’s shortest path algorithm example. The author has solved a particular task and provided a vivid description of the solution. Following each step you will be able to solve a similar solution by yourself with ease.