User interface You can write Mathematics and CalcMe will perform the calculations for you. Note: All examples on this page are live examples (not the animations nor screenshots, but the math examples). That is, if you click one of them, it will open in CalcMe. Sheet The main area is a Sheet, where the calculations are made; Sheet The sheet is the main part of CalcMe. It can be thought of as three areas - one for calculations, one for definitions, and one for graphics. 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. When you open a new CalcMe session, by default 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, in one line you'll have each of: Formula, Action, and Result. LIVE DEMO 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 also click on the narrow space that exists 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 simply 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: LIVE DEMO 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 how to create these graphics in the following section. Furthermore, we can draw directly on the grid as we would do on a sheet of paper. Take a look to its dedicated page. NewFrom this moment on, it's possible to download the graphic plotter as a square image in PNG format of the size you desire. Take advantage of this new CalcMe feature to save the generated images directly to your device. Define Each line has an area on the left where you can define variables and functions. You can enter a name for a value, such as price, and then use this label in calculations. You can also 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 :=, and later you can derive it or plot it with the use of that label. Using := assigns without evaluating (this is useful when dealing with programming commands). LIVE DEMO You can also define names for variables, that is define a variable without assigning a value to it. If you want to define more than one variable, you can do it one by one or all in once separating them by commas. LIVE DEMO 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. Multiple Sheets 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 useful buttons. Toolbar On the left, there are buttons for the Most frequently used operations. On the right, there are buttons for general Actions. Most used operations Actions See also Keyboard shortcuts to make your work easier. 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 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 nicer 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 Add image 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 color 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. Menu The menu, shown on the left, contains a complete list of buttons and commands, which are grouped into sections. Menú Menu itemsEach 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 in more than one category. The full 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: These buttons help you manage your sessions or change global settings. Tools File See table below. Help This manual. Application settings See the section below. File New Opens another CalcMe window. Open Load a session from device or from online storage. Save Save the session to the device or to online storage. Download as PDF Get a printable PDF. Remove this document Remove it from online storage. Wiris CAS to CalcMeIf your session is written with Wiris CAS, do not worry! 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 different notations. You can configure this section to better match the notation you use or to 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 when you open it is guessed from various sources. 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). 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 also available. Language list 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( 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. LIVE DEMO Unit of angle Unit of angle: radians 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. LIVE DEMO 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 option implicit is selected, the dot will be used when there cannot be an implicit times operator (such as between two numbers). LIVE DEMO 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. The last digit is rounded to nearest with half up tie-breaking, just like the round() command. LIVE DEMO 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 automatically decide in every case. Note this does not apply to integers, and all input forms are supported regardless of this option. LIVE DEMO Output notation Decimal Scientific Decimal, digit group, and list separators: No symbol can be used as a separator of two different things at the same time. These options affect both input and output. Changing them automatically updates both inputs and outputs in order for them 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 next CalcMe session. Saving your work 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 permission for CalcMe to associate with your Google Drive. Probably, you will receive an email from Google reporting the given permissions. Once you are 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: This downloads a CalcMe session file, which you can then open again with the Upload button in the same drop-down menu. 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 Shift+/ Power Ctrl+↑ Element of list Ctrl+↓ Square root Ctrl+. Root Ctrl+, New line Shift+Enter Actions Actions Name Shortcut 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 Add image Ctrl+Shift+G 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 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 replaces some symbols from keyboard by 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 right enclosure is automatically put. These are the enclosers that have this feature: If you want to modify this automatic end symbol, place the cursor next to the symbol, before it, on the inside part, and write the alternate end symbol. See this example of an open-closed interval: Table of Contents Sheet Toolbar Menu Application tools Application settings Saving your work Keyboard shortcuts Drag and drop Autoformat