User interface

You can write Mathematics and CalcMe will perform the calculations for you.

Sheet

The main part of CalcMe is the Sheet. There is where the calculations are made.

It can be thought of as three areas - one for calculations, one for definitions, and one for graphics. There is another option to define variables in an algorithm context, but we'll see it later. A single CalcMe session can have multiple sheets as described in the last section of this page.

• Area for Calculating

• Area for Graphing

• Area for Defining

Calculate

Here is where all formulas and calculations are written. By default, when you open a new CalcMe session, you begin writing in this area. The whole area is organized into lines, like a piece of ruled paper. You write calculations, one in each line.

Initially, a new line has an empty box with a cursor inside it, ready to accept new formulas. You usually write a formula and then press an Action to get a result. So, you'll have each Formula, Action, and Result in one line.

Each line has three buttons on the right:

• Insert a new line before this one

• Recalculate all

• Remove this line

To insert a new line between two existing ones, you can click on the narrow space between the lines. You can rearrange the lines, drag a line and drop it to the new place. Try a calculation now:

• Write any formula.

• Apply an action. The default action is `Calc`. Click on the rightmost Toolbar button or press the `Return` key on your keyboard.

• You will get the result. The `Calc` action does different things in different types of formulas.

You can expect any formula that a scientific calculator would understand to be calculated here. However, CalcMe also carries out symbolic computations. If you write a letter such as a,b,c,x,y, etc., it will be treated as a "variable". For example:

To insert special symbols such as roots, fractions, etc., use the Toolbar or the Menu.

Graph

CalcMe can graph functions, equations, inequalities, and points. Initially, there is no graph, but one is created when you use the `Plot` action. Try it yourself:

• Write a formula, and click on the `Plot` action to see the result.

Thus, the sheet can have an area on the right to show graphics. Once there is a graph, it comes with several options to configure it. You can see them together with more details about creating these graphics in the following section. Furthermore, we can draw directly on the grid as we would on a sheet of paper. Please take a look at its dedicated page.

Nota

From this moment on, it's possible to download the graphic plotter as a square image in PNG format of your desired size. Take advantage of this new CalcMe feature to save the generated images directly to your device.

Define

From now on, there are two different procedures to define variables in CalcMe The first one, the usual within the sheet, is intended for those who use CalcMe like a simple calculator. The second one, using the code editor, is thought of for those who use the calculator to generate long algorithms, whether in a WirisQuizzes algorithm or not.

Suggeriment

You can see more details about the code editor procedure here.

CalcMe sheet

CalcMe code editor

Each line has an area on the left where you can define variables and functions.

• You can assign a value to the variable `y`, and all subsequent lines will use that value for `y`.

• You can enter a name for a function and define it using whether `=` or `:=`, and later you can `derive` it or `plot` it using that label. Using `:=` assigns without evaluating (this is useful when dealing with programming commands).

CalcMe sheet

CalcMe code editor

• You can also define names for variables, defining a variable without assigning a value. These variables can involve subindices if you wish. On the other hand, if you want to define more than one variable, you can do it one by one or all at once, separating them by commas.

CalcMe sheet

CalcMe code editor

Multiple Sheets

A session can have multiple sheets. Initially, there is just one sheet, but you can add more by using the `New sheet` button. It's the one with a plus (+) sign located to the right of the session title. Each sheet has a name --by default, `Sheet 1`-- located to the right of the session title. You can change the name by clicking on it.

When you Save or Open a session, all its sheets will be saved or opened as well. You can move between sheets using the tabs on the upper left. You can rearrange the sheets by dragging and dropping the tabs. You can delete a sheet using the corresponding button in its tab. There is no interrelationship among the sheets, so the variables defined in one sheet aren't reflected in another.

Toolbar

The toolbar is at the top of the sheet, where it provides fast access to several valuable buttons.

Most used operations

Actions

Most frequently used operations

Frequently used operations have buttons in the toolbar for faster access.

Most frequently used operations

Fraction

Power

Square root

Newline

• For `Square root`, `Fraction` and `Power` , you can select a portion of the formula before pressing the button. The operation will be built around it.

• For `Fraction`, you can also use the keyboard `2/3`, but it won't look very nice. For `Power`, you can type `2^3` , and it will automatically be converted to the more admirable form.

• Use `Newline` to enter systems of equations. Also, you can use it in a command that takes a list as input. So, you can work with vertical lists, which are usually more readable.

Actions

Given a formula, you can perform multiple Actions on it. Actions are big buttons, each with an icon and a name. The general actions are in the Toolbar unless Calc which can be found at the lower right corner.

Actions

Calc

Approx

Simplify

Factor

Substitute

Verify

Derivate

Integrate

Plot

Plot 3D

Text

Insert code editor

Transform Sheet to Algorithm

Some actions are configurable, and some are not. You configure an action by clicking its symbol in the line. This symbol is placed between the initial formula and the calculated result. For example, you can change the colour of a function graph by clicking the `Plot` symbol of a line.

After reconfiguration, the line is automatically recalculated. Each time you recalculate a line, all other lines will also be recalculated.

The `Text` action is special: It doesn't act on an existing formula but instead creates a new line to contain text that will not be calculated. You can use it for comments. Text lines have light-green borders. See Format for text options.

The most common action is `Calc`. It does different things depending on the input:

• Over a numerical expression, it calculates it.

• Over an algebraic expression, it reduces/simplifies it.

• Over a programming command, it executes it.

• Over an equation or a system, it solves it.

The menu, shown on the left, contains a complete list of buttons and commands, which are grouped into sections.

Each section can contain two types of items, in this order:

• Mathematical symbols, usually with little placeholder boxes.

• Plain words: These are mathematical functions or programming commands, which usually require parameters. For example, think of `sin(angle)` or `rank(matrix)`.

Below are brief descriptions of the Menu sections. Note that some buttons are repeated if they belong to more than one category. The complete reference for all of the Menu functions can be found here.

Symbols

Mathematical constants, operators and parentheses.

Arithmetic

Operations and functions used in elementary integer arithmetic.

Polynomials

Operations and functions that apply to polynomials.

Statistics

Statistical functions. These apply to lists in CalcMe e.g. {1,4,7,7}.

Functions

A list of common real functions. When applicable they can also accept and return complex values.

Calculus

Derivatives, Integrals and Limits, as well as other miscellaneous functions.

Linear Algebra

Vector and matrix input, and common operations in linear algebra.

Combinatorics

Permutations, combinations, with/without repetition, etc.

Logic and sets

Logical and set operators.

Solve

Functions for solving equations.

Greek

All lowercase and capital greek letters.

Units of measure

All S.I. units and prefixes, and some useful tools for working with units.

Graphics

Plot in 2D, 3D, or plot a region.

Programming

Usual programming commands.

Format

Insert and format a text box, or insert an image.

Application tools

In the top left corner of the CalcMe window, you'll see a small toolbar:

Tools

File. See the table below.

Help. This manual.

Application settings. See the section below

File

New

Opens another CalcMe window.

Open

Load a session from a device or from online storage.

Save

Save the session to the device or to online storage.

Get a printable PDF.

Remove this document

Remove it from online storage.

Nota

Do not worry if your session is written with Wiris CAS! You can upload it with the Upload button, and it will be automatically converted to a CalcMe session.

Application settings

Different countries, education levels, or textbooks, use other notations. You can configure this section to match better the notation you use or specify the format in which the computed numbers are displayed. All generated values will be in the same notation; you can not generate values in different notations.

Languages: Interface and commands

The language used in CalcMe is guessed from various sources when you open it. Of course, you may also choose any of the supported languages. Select the Save settings as defaults in cookies option if you want to make the change permanent (on your internet browser).

Atenció

The CalcMe user interface is fully translated into the languages seen in the list below. All commands are also translated to most of these languages, save for a few, and if not the commands used are the English ones.

Below is a complete list of supported languages, noting when the commands are available.

UI Language

Command Language

Català - ca

Català

Dansk -da

English

Deutsch - de

Deutsch

Eλληνικά - el

English

English - en

English

Español - es

Español

Français - fr

Français

Italiano - it

Italiano

Norsk Bokmål - nb

English

Norsk Nynorsk - nn

English

Português - pt

Português

Português Brasileiro - pt_br

Português

Units

Unit of angle: As with a handheld calculator, in CalcMe, you can work with angles in one of two modes:

• `RAD`: radians. A turn is 2π. This is the default mode.

• `DEG`: degrees. A turn is 360º.

Whether CalcMe will use radians or degrees to evaluate trigonometric expressions when the unit is not specified (therefore, sin(90°) and sin($\frac{\mathrm{\pi }}{2}$ rad) will be the same regardless of this option, but the result of sin(90) will depend on which option has been selected here). The result of inverse trigonometric functions will also have this unit. Notice that this change also affects plots, integrals, and derivatives of trigonometric functions.

Unit of angle

Unit of angle: degrees

When you use a direct trigonometric function (e.g., `sin(2)`), the input angle is assumed to be in radians or degrees, according to the mode. When using an inverse trigonometric function (e.g., `arcsin(0.5)`) the result angle should also be interpreted according to the mode. See the trigonometric functions section. Commands `argument()` and `polar()` for complex numbers are like `arctan()`, and their results are also according to the mode.

• In direct trigonometric functions, an input angle with the symbol `º` will always be interpreted as `degrees` regardless of the mode. The result angles will never have the symbol `º`, even in `DEG` mode.

Format expressions

Imaginary unit: Whether i or j will be used as the output imaginary unit variable in CalcMe. To input an imaginary unit, one must use the buttons i and j; they both work and mean the same regardless of this option.

Imaginary unit

Imaginary unit: i

Imaginary unit: j

Times operator: This option allows the user to select the default output times operator in CalcMe. All possible forms work as input. If the implicit option is selected, the dot will be used when there cannot be an implicit times operator (between two numbers).

Times operator

Times operator: x Cross

Times operator: · Dot

Times operator: Implicit

Format numbers

Precision & precision type: The number of significant digits or decimal places to be used in the output. If the precision type is decimal places, the notation will be automatically set to Decimal. You can set the number of significant digits to be shown when results have decimal numbers. The valid values are from 1 to 15, which is the maximum. Like the `round()` command, the last digit is rounded to nearest with half-up tie-breaking, just like the `round()` command.

Precision

Significant figures: 5

Significant figures: 10

Decimal places: 5

Decimal places: 10

Output notation: Sets the output notation to be scientific or decimal or asks the kernel to decide in every case automatically. Note this does not apply to integers, and all input forms are supported regardless of this option.

Output notation

Decimal

Scientific

Decimal, digit group, and list separators: No symbol can be used as a separator of two different things simultaneously. These options affect both input and output. Changing them automatically updates both inputs and outputs to work with the new settings.

Save settings as default in cookies

This setting is optional, but if it is not set, the CalcMe settings will revert to the default settings for the following CalcMe session.

CalcMe uses online storage by default via Google Drive. However, you can also save and load sessions from your local device (desktop computer, laptop, handheld device, etc.).

Online saving

To save online, just press File > Save and click the To Google Drive button:

When you save a session for the first time, you'll be prompted to log in and give CalcMe permission to associate with your Google Drive. Probably, you will receive an email from Google reporting the assigned permissions.

Once logged in, you can see your profile photo in the title bar, shown at right.

You can also make sessions opened from Google Drive automatically take you to CalcMe In Google Drive, just go to Settings > Managing apps, and tick Use by default next to CalcMe

Creating a new CalcMe session

Additionally, once you've associated CalcMe to your Google Drive through the above steps, you will be able to open new CalcMe files directly from Google Drive. Just go to New in the top left corner > More > CalcMe:

Offline saving

To save sessions offline (directly to your device), click on File > Save and choose the option To Device:

Keyboard shortcuts

These keyboard shortcuts are available to speed up your editing. The words shown in parentheses are suggested mnemonics.

Editing

Editing

Cut

Ctrl+X

Copy

Ctrl+C

Paste

Ctrl+V

Undo

Ctrl+Z

Redo

Ctrl+Y

Delete line

Ctrl+Shift+Del

Bold

Ctrl+B

Italic

Ctrl+I

Go to Defining area

Alt+Enter

Most frequently used operations

Most frequently used operations

Fraction

S+/

Power

Ctrl+Up

Element of list

Ctrl+Down

Square root

Ctrl+.

Root

Ctrl+,

New line

Shift+Enter

Actions

Actions

Calc (Evaluate)

Ctrl+Shift+E

Approx

Ctrl+Shift+A

Simplify

Ctrl+Shift+S

Factor

Ctrl+Shift+F

Substitute (Replace)

ctrl+Shift+R

Verify

Ctrl+Shift+V

Derive

Ctrl+Shift+D

Integrate

Ctrl+Shift+I

Plot

Ctrl+Shift+P

Plot 3-D

Ctrl+Shift+Q

Text (Comment)

Ctrl+Shift+C

Ctrl+Shift+G

Insert code editor

Ctrl+Shift+B

Tools

Tools

Open. From device or from Google Drive.

Ctrl+O

Save. From device or from Google Drive.

Ctrl+S

Options

Ctrl+*

Help

Ctrl+H

Symbols

Number pi

Ctrl+Q

Number e

Ctrl+E

Imaginary unit

Ctrl+J

Drag and drop

You can drag-and-drop formulas by holding and moving them by the mark within the frame.

Formula into Empty Line

The formula will be copied; this way, you can reuse formulas and results.

Formula x=... into Formula

The variable in the second formula is substituted by the value in the first one.

Formula x=... into Define area

The variable in the first formula will be defined from this point forward.

Formula into Plotter Area

The formula will be plotted in a new plotter.

Autoformat

Autoformat works in the add-on for Workspace and the add-in for Microsoft 365, but it is an optional feature if you are using MathType in other environments. If you are a developer, you can enable it by parameters.

Autoformat replaces some symbols from the keyboard with their better-looking counterparts. At present, the replacements are:

The replacement is done while you type, so you never see the actual key pressed.

Autoformat now auto-closes parentheses and alike. When you write the left enclosure, the suitable enclosure is automatically put in. These are the enclosers that have this feature:

If you want to modify this automatic end symbol, place the cursor next to the character on the inside and write the alternate end symbol. See this example of an open-closed interval: