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Introduction
= DreamCalc Graphing Calculator
= Inroductory Examples
   
Function Graphing & Plotting Data
= Graphing & List Window
= Graphing Function
= Graphing Examples
   
Statistical Calculations
= Statistical Calculations
= Statistical Functions
   
Base-N Calculations
= Base-N Calculations
= Base-N Functions
   
Date Calculations
= Date Calculations
= Date Functions
   
Financial Calculations
= Financial Calculations
= Effective Annual Rates
= Compound Interest Calculations
= Discounted Cashflow Calculations
= Amortizing Loan Payments
= Depreciation
= Bond Calculations
= Continuous Compounding Periods
= Financial Functions
   
Functions by Category
= Key Math Functions
= Trigonometric Functions
= Number Theory Functions
= Business Functions & Percentages
= Miscellaneous Keys & Functions
   
Information
= Keyboard Input
= Options Window
= Solving Polynomials
= Input Order Notation
= Reference Information
   
 
 
 
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DreamCalc Graphing Calculator: Introductory examples shows manipulation of prefix, postfix expression manipulation

 
     
 
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Inroductory Examples

Here you will find a selection of examples introducing some of the key features of DreamCalc. For information concerning any specific function, refer to the Function Index page.

Most examples in this User Guide are given using the prefix algebraic input order, and you should compensate as required to suit the input order of your choice. The financial sections are an exception, and generally give examples using Reverse Polish Notation (RPN).

Algebraic Examples

Example: Determine the result of sin(-35) using degrees.

First ensure the calculator is in the degrees mode by clicking Modes->Trigonometry->Degrees from the main menu.

If you are using Prefix Algebraic (MAL) input mode, key in the following:

[sin]
[+/(-)] (acts as (-), see note)
35
[ENTER]
Displays: -0.5735764363510461

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If using Postfix Algebraic (CAL) input mode, key in the following:

35
[+/(-)] (toggle sign)
[sin]
[ENTER] (optional)
Displays: -0.5735764363510461

Reverse Polish Example

This example applies only if DreamCalc is set to use RPN input order.

Example: Determine (3 + 5) × (2 + 4).

3 [ENTER] 5 [+] (sum 3 + 5)
[ENTER]
2 [ENTER] 4 [+] (sum 2 + 4)
[×] (multiplies the two sums)
Answer: 48

Storing & Copying Values

Simply press CTRL-C to copy the screen value into the clipboard at any time, or CTRL-V to paste a value from the clipboard.

To store a value in DreamCalc memory, use [STO] and [RCL] with keys marked MEM, A-F and 0-9.

Example 3: Store and Recall 5.76.

5.76
[STO] [MEM] (value now stored)

[AC] (clear screen)

[RCL] [MEM] (recalls mem)
Displays: 5.76

You can also view and edit values held in memory directly from the Memory Register tab of the Paper Roll window.

Conversions & Constants

Conversions are performed by selecting one from the Insert main menu. All conversions operate in a postfix manner, meaning that you input the conversion after the value, irrespective of what input mode you are using.

Example: What is 45 degree Farenheit expressed as degrees Celsius?

45
[Farenheit-Celsius] (use Insert->Temperature menu)
Displays: 7.222...

Constants can also be inserted using the Insert main menu. DreamCalc supports over 630 constants, and the range of constants available from Insert menu is configurable from the "Miscellaneous" page of the Options Window.

Alternatively, if the constant you want is a commonly used scientific one, you will find it on the numeric keypad.

Example: Proton Mass

Key in:

[CONST] [1] (mp)
Displays: 1.6726231E-27 (Proton Mass kg)

Complex Number Example

DreamCalc handles complex numbers naturally. Use the semi-colon key [;] to separate between real and imaginary components when entering complex values.

Example:

5 [;] 3
[+]
23 [;] -2 (always use [+/(-)] for negative imaginary input)
[ENTER]
Displays: 28 + 1i

There is no need to explicitly use parentheses with complex values as they are "atomic", meaning that DreamCalc treats them as a single entity. DreamCalc will automatically show braces around complex values when they displayed in the calculator paper roll and numeric display.

All mathematical functions support complex numbers where applicable. Where real solutions exist, these will be returned in preference to a complex result. For example, 3 √ -216, which is equivalent to -2161/3, will yield a real result of -6. You should also bear in mind that where complex solutions exist, the result returned by DreamCalc maybe one of many possible solutions.

In addition, DreamCalc supports copying and pasting of complex numbers via the clipboard and can store complex values in memory registers.

Example: Copy & paste a complex value.

As a demonstration, select and copy the following string into your clipboard with CTRL-C.

33 - 3i

Now in DreamCalc, press CTRL-V and the complex value should appear on screen. When pasting complex values, ensure that the imaginary component follows the real component and is suffixed with "i". Do not copy any braces around the complex value.

Polynomial Solutions

Example: Find the solutions to the cubic equation, x3 + 5x2 - 29x - 105 = 0.

[POLY] (Initiates the polyonomial solver)
3 [ENTER] (Enter order 3)
1 [ENTER] (Enter coefficients in sequence)
5 [ENTER]
-29 [ENTER]
-105 [ENTER]

At this point, the solutions will be given in sequence: +5, -3, and -7, and pressing [ENTER] will page through them. Use the [STO] key at any time to store values you want to keep.

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