- •User’s Guide
- •Contents
- •About This Guide
- •Other Documentation
- •Other Resources
- •Technical Support
- •Comments
- •Chapter 1
- •Welcome to Mathcad
- •What Is Mathcad?
- •Highlights of the Mathcad 14 Release
- •Internationalization of Mathcad
- •Usability Features
- •New and Improved Functions
- •Math Enhancements
- •New Symbolics
- •PTC integration
- •System Requirements
- •Installation
- •Chapter 2
- •Getting Started with Mathcad
- •The Mathcad Workspace
- •Working with Worksheets
- •Regions
- •A Simple Calculation
- •Definitions and Variables
- •Defining Variables
- •Calculating Results
- •Defining a Function
- •Formatting a Result
- •Graphs
- •Creating a Basic Graph
- •Formatting a Graph
- •Saving, Printing, and Exiting
- •Saving a Worksheet
- •Printing
- •Exiting Mathcad
- •Chapter 3
- •Online Resources
- •Mathcad Resources
- •Resources Window and E-books
- •Finding Information in an E-book
- •Annotating an E-book
- •Web Browsing
- •Help
- •User Forums
- •Logging in
- •Communicating with Other Mathcad Users
- •Other Resources
- •Web Resources
- •Release Notes
- •Technical Support
- •Mathcad Downloads on the PTC Web Site
- •Chapter 4
- •Working with Math
- •Inserting Math
- •Numbers and Complex Numbers
- •Greek Letters
- •Inserting an Operator
- •Building Expressions
- •Typing in Names and Numbers
- •Controlling the Editing Lines
- •Typing in Operators
- •Multiplication
- •An Annotated Example
- •Editing Expressions
- •Changing a Name or Number
- •Inserting an Operator
- •Applying an Operator to an Expression
- •Deleting an Operator
- •Replacing an Operator
- •Inserting a Minus Sign
- •Inserting Parentheses
- •Deleting Parentheses
- •Moving Parts of an Expression
- •Deleting Parts of an Expression
- •Math Styles
- •Editing Math Styles
- •Applying Math Styles
- •Saving Math Styles
- •Chapter 5
- •Range Variables and Arrays
- •Creating Arrays
- •Vectors and Matrices
- •Insert Matrix Command
- •Iterative Calculations
- •Creating a Range Variable
- •Entering a Matrix as a Data Table
- •Accessing Array Elements
- •Subscripts
- •Accessing Rows and Columns
- •Changing the Array Origin
- •Displaying Arrays
- •Changing the Format of Displayed Elements
- •Copying and Pasting Arrays
- •Working with Arrays
- •Performing Calculations in Parallel
- •Graphical Display of Arrays
- •Chapter 6
- •Working with Text
- •Inserting Text
- •Creating a Text Region
- •Selecting Text
- •Greek Letters in Text
- •Changing the Width of a Text Region
- •Text and Paragraph Properties
- •Changing Text Properties
- •Changing Paragraph Properties
- •Text Styles
- •Applying a Text Style to a Paragraph in a Text Region
- •Modifying an Existing Text Style
- •Creating and Deleting Text Styles
- •Equations in Text
- •Inserting an Equation into Text
- •Text Tools
- •Find and Replace
- •Spell-Checking
- •Chapter 7
- •Mathcad Worksheets
- •Worksheets and Templates
- •Creating a New Worksheet
- •Opening a Worksheet
- •Saving Your Worksheet
- •Creating a New Mathcad Template
- •Modifying a Template
- •Rearranging Your Worksheet
- •Selecting Regions
- •Region Properties
- •Moving and Copying Regions
- •Deleting Regions
- •Aligning Regions
- •Inserting or Deleting Blank Space
- •Separating Regions
- •Highlighting Regions
- •Changing the Worksheet Background Color
- •Layout
- •Setting Margins, Paper Size, Source, and Orientation
- •Page Breaks
- •Headers and Footers
- •Safeguarding an Area of the Worksheet
- •Inserting an Area
- •Locking and Collapsing an Area
- •Unlocking and Expanding an Area
- •Deleting an Area
- •Worksheet Protection
- •Worksheet References
- •Hyperlinks
- •Creating Hyperlinks to a Mathcad File
- •Creating Hyperlinks to Other Files
- •Distributing Your Worksheets
- •Printing
- •Printing Wide Worksheets
- •Print Preview
- •Creating PDF Files
- •Creating E-books
- •Creating Web Pages and Sites
- •Saving Your Worksheet to Microsoft Word
- •Mailing
- •Chapter 8
- •Calculating in Mathcad
- •Defining and Evaluating Variables
- •Defining a Variable
- •Names
- •Built-in Variables
- •Evaluating Expressions Numerically
- •How Mathcad Scans a Worksheet
- •Global Definitions
- •Range Variables
- •Built-in Functions
- •Assistance for Using Built-in Functions
- •Applying a Function to an Expression
- •Defining and Evaluating Functions
- •Variables in User-Defined Functions
- •Recursive Function Definitions
- •Units and Dimensions
- •Dimensional Checking
- •Defining Your Own Units
- •Working with Results
- •Formatting Results
- •Displaying Units of Results
- •Copying and Pasting Numerical Results
- •Controlling Calculation
- •Calculating in Manual Mode
- •Interrupting Calculations
- •Disabling Equations
- •Error Messages
- •Finding the Source of an Error
- •Fixing Errors
- •Chapter 9
- •Solving
- •Solving and Optimization Functions
- •Finding Roots
- •Linear/Nonlinear System Solving and Optimization
- •Chapter 10
- •Overview
- •Inserting Pictures
- •Creating Pictures from Matrices
- •Formatting a Image
- •Inserting Objects
- •Inserting an Object into a Worksheet
- •Editing an Embedded Object
- •Editing a Link
- •Inserting Objects Computationally Linked to Your Worksheet
- •Chapter 11
- •2D Plots
- •Overview of 2D Plotting
- •Creating an X-Y Plot
- •Creating a Polar Plot
- •Graphing Functions and Expressions
- •2D QuickPlots
- •Defining an Independent Variable
- •Plotting Multiple 2D Curves
- •Creating a Parametric Plot
- •Plotting Vectors of Data
- •Plotting a Single Vector of Data
- •Plotting One Data Vector Against Another
- •Formatting a 2D Plot
- •Setting Axis Limits
- •Adding Custom Titles, Labels, and Other Annotations
- •Modifying a 2D Plot’s Perspective
- •Zooming in on a Plot
- •Getting a Readout of Plot Coordinates
- •Animations
- •Creating an Animation Clip
- •Playing an Animation Clip
- •Playing a Previously Saved Animation
- •Chapter 12
- •3D Plots
- •Overview of 3D Plotting
- •Inserting a 3D Plot
- •3D Plot Wizard
- •Creating 3D Plots of Functions
- •Creating a Surface, Bar, Contour, or Scatter Plot
- •Creating a Space Curve
- •Creating 3D Plots of Data
- •Creating a Surface, Bar, or Scatter Plot
- •Creating a Parametric Surface Plot
- •Creating a Three-dimensional Parametric Curve
- •Creating a Contour Plot
- •Graphing Multiple 3D Plots
- •Formatting a 3D Plot
- •The 3D Plot Format Dialog Box
- •Changing One 3D Plot to Another
- •Annotations
- •Modifying 3D QuickPlot Data
- •Chapter 13
- •Symbolic Calculation
- •Overview of Symbolic Math
- •Live Symbolic Evaluation
- •Using Keywords
- •Using More Than One Keyword
- •Keyword Modifiers
- •Ignoring Previous Definitions
- •Using the Symbolics Menu
- •Displaying Symbolic Results
- •Examples of Symbolic Calculation
- •Derivatives
- •Integrals
- •Limits
- •Solving an Equation for a Variable
- •Solving a System of Equations Symbolically: “Solve” Keyword
- •Solving a System of Equations Symbolically: Solve Block
- •Symbolic Matrix Manipulation
- •Index
Displaying Arrays / 45
Displaying Arrays
Mathcad automatically displays matrices and vectors having more than nine rows or columns as output tables rather than as matrices or vectors. Smaller arrays are displayed by default in traditional matrix notation. Figure 5-6 shows an example.
Figure 5-6: The top results display as a matrix while the bottom results display as an output table.
Note An output table displays a portion of an array. To the left of each row and at the top of each column, there is a number indicating the index of the row or column. Right-click on the output table and select Properties from the menu to control whether row and column numbers appear and to choose the font. If your results extend beyond the table, you can scroll through the table using scroll bars.
To resize an output table:
1.Click the output table. Handles appear along the sides of the table.
2.Move the mouse pointer to one of these handles so that it changes to a doubleheaded arrow.
3.Press and hold down the mouse button and drag the table in the direction you want the dimensions to change.
Tip You can change the alignment of the table with respect to the expression on the left-hand side of the equal sign. Right-click on the table, then choose one of the Alignment options from the menu.
Changing the Display of Arrays — Table versus Matrix
You can prevent Mathcad from displaying large matrices as output tables. You can also change matrices to output tables. To do so:
1.Click on the output table or matrix.
2.Choose Result from the Format menu.
3.Click on the Display Options tab.
4.Choose Matrix or Table in the “Matrix display style” drop-down box.
46 / Chapter 5 Range Variables and Arrays
To display all the results in your worksheet as matrices or as tables regardless of their size, click “Set as Default” in the Result Format dialog box rather than “OK.”
Note Mathcad cannot display extremely large arrays in matrix form. You should display a large array as an output table.
Changing the Format of Displayed Elements
To format the numbers in the array, just click on the displayed array and choose Result from the Format menu, then modify the settings. When you click “OK,” Mathcad applies the selected format to all the numbers in the table, vector, or matrix. It is not possible to format the numbers individually.
Copying and Pasting Arrays
You can copy an array of numbers directly from a tabular application, such as Excel, or an ASCII file that contains rows and columns, into a Mathcad array. All data characteristics, including text, numerics, complex numbers, or empty cells are preserved. Once you’ve performed computations or manipulations on the data, you can paste or export the resulting array of numbers back to its source or into another application.
To copy just one number from a result array, click the number and choose Copy from the Edit menu. Copying multiple numbers from a vector or matrix result differs depending on whether the array is displayed as a matrix or as an output table.
To copy a result array displayed as a matrix:
1.Drag-select the array to the right of the equal sign to place the entire array between the editing lines.
2.Choose Copy from the Edit menu.
3.You may only paste an array into a math placeholder or into a blank space in Mathcad.
4.You can also paste the array into another application.
To copy some or all of the numbers from a data table:
1.Click on the first number you want to copy.
2.Drag the mouse over the other values you want to copy while holding down the mouse button.
3.Right-click the selected values, then choose Copy Selection from the menu.
To copy all the values in a row or column, click on the column or row number shown to the left of the row or at the top of the column. Then choose Copy from the Edit menu.
After you have copied one or more numbers from an output table, you can paste them into another part of your worksheet, a blank Data Table, or into another application. Figure 5-7 shows an example of a new matrix created by copying and pasting numbers from an output table.
