2. Arithmetic Calculations and Function Calculations

2-1. Performing an Arithmetic Calculation

1. Click anywhere on the Paper to display the Sticky Note menu.

2. Click to display a Calculate Sticky Note and the soft keyboard.

3. Use the soft keyboard to input a calculation expression.

Example : $4 \div 5 + 2 \div 3$

Key Operations: $[4][\div][5][\blacktriangleright][+][2][\div][3]$

4. On the soft keyboard, click [EXE].

・The calculation result of the expression you input appears below the expression, aligned with the right margin.

・You can proceed with other calculations from here by repeating steps 3 and 4 of this procedure.

Note

・Clicking to the right of the calculation result toggles between decimal fraction display and numerical fraction display.

2-2. Inputting a Function

1. Click anywhere on the Paper to display the Sticky Note menu.

2. Click to display a Calculate Sticky Note and the soft keyboard.

3. On the soft keyboard, click the [Math] tab.

・This displays the Math keyboard.

4. Click the function you want to input.

・On the Math keyboard, click or to switch between available keyboards.

Note

・You can also use the abc keyboard to input functions.

2-3. Soft Keyboards

A soft keyboard is displayed below the Paper for inputting calculation expressions and functions.

Available soft keyboards are shown below.

Number keyboard

Math keyboard

abc keyboard

Calculate Sticky Note/ Graph Sticky Note

Geometry Sticky Note

Handwriting panel

This handwriting panel can be used to input calculation expressions and functions by writing them.

Note

・Click to hide a soft keyboard. To re-display the soft keyboard, click .

2-4. List Calculations

Values enclosed in braces ({ }) are considered to be a list. The values of a list are separated by commas (,).

2-4-1. To store a list in a variable

Example: To store {1,2,3} in variable "lista"

1. Input the following: {1,2,3}⇒lista.

2. On the soft keyboard, click [EXE].

2-4-2. To recall a particular element of a list

Example: To recall the second element of the list stored in variable "lista" ({1,2,3})

1. Input the following: lista[2].

2. On the soft keyboard, click [EXE].

2-4-3. To store a value in an element of a list

Example: To input 5 into the second element of the list stored in variable "lista"

1. Input the following: 5⇒lista[2].

2. On the soft keyboard, click [EXE].

2-4-4. To perform list calculations

You can perform arithmetic operations between two lists, between a list and a numeric value, or between a list and an expression, equation, or inequality.

Important!
  • When you perform an arithmetic operation between two lists, both of the lists need to have the same number of cells. An error will occur if they do not.
  • An error will also occur whenever an operation between any two cells of the two lists results in an error.

Example: To multiply list3 ({41,65,22}) by {6,0,4}

1. Input the following: list3$ \times ${6,0,4}.

2. On the soft keyboard, click [EXE].

2-5. Matrix and Vector Calculations

You can input a matrix or vector using single line syntax, or actual form syntax.

A vector is regarded as 1-row x n-column or n-row x 1-column matrix, so a separate explanation of vectors will not be provided here.

2-5-1. To store a matrix in a variable

Example: To store the matrix $\left[\begin{array}{ccc} 1 & 2 \\ 3 & 4 \end{array}\right]$ in variable "mat1"

1. Input the following: [[1,2][3,4]]⇒mat1.

2. On the soft keyboard, click [EXE].

2-5-2. To recall the element of a matrix

Example: To recall the element at row 2, column 1 of the matrix stored in variable "mat1" ($\left[\begin{array}{ccc} 1 & 2 \\ 3 & 4 \end{array}\right]$)

1. Input the following: mat1[2,1].

2. On the soft keyboard, click [EXE].

2-5-3. To input a value into a matrix element

Example: To input 5 into the element at row 1, column 2 of the matrix stored in variable "mat1" ($\left[\begin{array}{ccc} 1 & 2 \\ 3 & 4 \end{array}\right]$)

1. Input the following: 5⇒mat1[1,2].

2. On the soft keyboard, click [EXE].

2-5-4. To use the Math keyboard to input a matrix using actual form syntax

Click one of the keys below to input the matrix.

・To input a 1-row x 2-column matrix.................

・To input a 2-row x 1-column matrix.................

・To input a 2-row x 2-column matrix.................

・To add a column to the currently displayed matrix.....................

・To add a row to the currently displayed matrix.....................

・To add both a row and column to the currently displayed matrix.....................

Example: To store the matrix $\left[\begin{array}{ccc} 1 & 2 & 3 \\ 4 & 5 & 6 \end{array}\right]$ in variable "mat2"

1. On the Math keyboard, click .

2. On the Number keyboard, click $[1][\blacktriangleright][2]$.

3. On the Math keyboard, click .

4. On the Number keyboard, click [3].

5. On the Math keyboard, click .

6. Click the column 1 in row 2 of the matrix.

7. On the Number keyboard, click $[4][\blacktriangleright][5][\blacktriangleright][6][\blacktriangleright]$.

8. Input the following: ⇒mat2.

9. On the soft keyboard, click [EXE].

2-5-5. To perform matrix arithmetic

Example: To perform the calculation $\left[\begin{array}{ccc} 1 & 1 \\ 2 & 1 \end{array}\right] + \left[\begin{array}{ccc} 2 & 3 \\ 2 & 1 \end{array}\right]$

1. Input the following: [[1,1][2,1]]+[[2,3][2,1]].

2. On the soft keyboard, click [EXE].

Example: To use the Math keyboard to perform the calculation $\left[\begin{array}{ccc} 1 & 1 \\ 2 & 1 \end{array}\right] \times \left[\begin{array}{ccc} 2 & 3 \\ 2 & 1 \end{array}\right]$

1. On the Math keyboard, click .

2. On the Number keyboard, click $[1][\blacktriangleright][1][\blacktriangledown][\blacktriangleleft][2][\blacktriangleright][1][\blacktriangleright][×]$.

3. On the Math keyboard, click .

4. On the Number keyboard, click $[2][\blacktriangleright][3][\blacktriangledown][\blacktriangleleft][2][\blacktriangleright][1]$.

5. On the soft keyboard, click [EXE].

Example: To multiply $\left[\begin{array}{ccc} 1 & 2 \\ 3 & 4 \end{array}\right]$ by 5

1. Input the following: [[1,2][3,4]]×5.

2. On the soft keyboard, click [EXE].

Example: To cube $\left[\begin{array}{ccc} 1 & 1 \\ 3 & 4 \end{array}\right]$

1. On the Math keyboard, click .

2. On the Number keyboard, click $[1][\blacktriangleright][1][\blacktriangledown][\blacktriangleleft][3][\blacktriangleright][4][\blacktriangleright][{\tiny{ \boxed{ \vphantom{0} \hspace{0.1em} } } } ^ {\tiny{\blacksquare}}][3]$.

3. On the soft keyboard, click [EXE].

2-6. Copying an Expression

1. Drag the mouse pointer across the expression you want to copy to select it.

2. On your computer keyboard, press Ctrl+C.

3. Move the cursor to the location where you want to paste the expression.

4. On your computer keyboard, press Ctrl+V.

・A copied expression can also be pasted into a different Sticky Note.

・You can also expression a formula and copy it using drag-and-drop.

2-7. Auto-completion

While you are inputting a character string, auto-completion displays a list of functions that match what you have input so far.

If the function you are inputting appears in the list, you can select it for faster input.

Example: To input "approx"

1. Display the abc keyboard.

2. Input the following: ap.

・This displays a list of functions that contain the characters you input.

3. From the list, select "approx".

・This will input the function you selected.

2-8. Complex Number Calculations

You can perform arithmetic calculations, parentheses calculations, and function calculations with complex numbers, just as you do with real numbers.

To perform complex number calculations, you need to select [On] for the [Complex Format] setting of the Math Settings dialog box. For details, see "1-11. Configuring Calculation Settings".

Example: $(1+2i) + (2+3i) = 3+5i$

Example: $(2+i) \times (2-i) = 5$

Example: $\sqrt{(3+i)} = 1.755317302+0.2848487846i$ (Calculation Results: Decimal)

Example: $2∠30\times3∠45=6∠75$ (Angle: Degree, Calculation Results: Decimal)

Example: $(1+\sqrt3 i)\times(2∠45)=4∠105$ (Angle: Degree, Calculation Results: Decimal)

Example: $solve(x^3-x^2+x-1=0,x)$ Result: ${x=-i, x=i, x=1}$

2-9. Using Answer Memory (ans)

Each time you execute a calculation, the result is automatically saved to Answer Memory (ans). You can recall the current Answer Memory contents by clicking [ans] on the soft keyboard.

Example:

123 + 456 = 579

789 - [ans] = 210

[ans] $\div$ 7 = 30

Note

・Inputting an addition (+), subtraction (-), multiplication ($\times$), or division ($\div$) symbol while a calculation result is displayed will automatically input "ans".

2-10. Using Variables

2-10-1. Variable Name Rules

The following are the rules that apply to variable names.

  • Variable names can be up to 8 bytes long.
  • The following characters are allowed in a variable name: Upper-case and lower-case characters, subscript characters, numbers.
  • Variable names are case-sensitive. For example, each of the following is treated as a different variable name: abc, Abc, aBc, ABC.

2-10-2. To store a value in a variable

The syntax for the operation to store a value in a variable is shown below.

<value> [⇒] <variable name> [EXE]

Example: Store the value 10 in variable "abc".

Recall the value stored in variable "abc".

Example: Store the following value in variable "eq1": $2x+1$.

Store the value 5 in variable "x", and determine the value of variable "eq1".

Note

  • When storing a value in a variable, you could also use the [:=] key in place of [⇒]. This would result in the input syntax shown below.
  • <variable name> [:=] <value> [EXE]
  • Example: To store the value 123 in variable "x"

2-11. Using Variable Manager

2-11-1. To start up Variable Manager

1. In the Header, click the Settings button.

2. Click [Variable Manager].

・This displays the Variable Manager dialog box, which shows a list of variables.

① Variable names

② Variable types (See below.)

Expression … Real number, complex number or expression data

String … String data

List … List data

Matrix … Matrix data

Function … User-defined function


Clicking a variable name displays its value.

2-11-2. To delete variables

1. In the upper right corner of the Variable Manager dialog box, click and then click [Edit].

・This will cause check boxes to appear to the left of "Name" and each of the variable names.

2. Select the check boxes of all the variables you want to delete.

・You can select multiple variables for deletion, if you want. To select all of the variables, Select the "Name" check box.

・If you do not want to delete anything, skip step 3 and advance to step 4.

3. To delete the selected variables, click [Delete].

4. To close Variable Manager, click [Cancel].

2-12. Using the Interactive Menu

You can use the Interactive Menu to input functions. Selecting a function that was input with the Interactive Menu displays a dialog box for inputting arguments required by the function.


2-12-1. Example: To use the Interactive Menu to input solve (x2-4x-5=0, x).

1. Display a Calculate Sticky Note.

2. On the soft keyboard, click [Interactive].

・This displays the Interactive Menu.

3. Click [Advanced].

・This displays [Advanced] category functions.

4. Click [solve].

・This displays a dialog box for inputting arguments required by the "solve" function.

5. Input the arguments.

6. Click [OK] to input the "solve" function into the Calculate Sticky Note.

2-12-2. Interactive Menu Configuration

The table below shows functions that can be input with the Interactive Menu and their categories.

Category 1 Category 2 Function
Transformation > expand
Advanced > solve
dSolve
taylor
laplace
fourier
invFourier
Calculation > diff
lim
Σ
Π
line > arcLen
fMin/fMax > fMin
fMax
List > Create > seq
listToMat
Statistics > min
max
mean
median
mode
Q1
Q3
percentile
Calculation > sum
prod
sequence
sumSeq
Matrix > Create > subMat
listToMat
Row&Column > mRowAdd
Vector > toRect
toPol
toSph
toCyl
Equation/Inequality > solve
dSolve

2-13. Inserting Subscript

1. Move a cursor to a location where you want to insert a subscript.

2. On your computer keyboard, press underscore key [_].

3. Input alphabetic characters and/or numbers as a subscript.