Copy small numbers from above. Adding square and cubic meter symbols in MS Word

For most computer programs developed for editing texts, there are special characters or symbols that can be easily inserted into documents using a symbol table or by pressing a combination of the well-known Alt key and a sequence of 10 numbers on Num Lock.

Not all computer users are aware of these functions, but there are often cases when the use of such key combinations, which are not visible on the keyboard, becomes a necessity. In order not to panic, you should familiarize yourself in detail with hidden opportunities text editors.

Where can you see special characters?

In order to view the special symbols available for permanent use, you need to go to the Start or Start menu, then open the All Programs tab, then Standard, Utilities, and at the end find the Symbol Table item and select it.

In the small window that opens, you can see everything Special symbols, there are about three thousand of them. In addition, if necessary, symbols from the designated table can be quickly copied to the clipboard in order to then transfer it to the edited document. In order to carry out this action, you must select the required font, then select the symbol of interest from the list, click on "Copy" or Copy. In the edited text, you need to place the mouse cursor on the place where you want to put the symbol, and insert it using the appropriate command Ctrl + V.

Alt code usage

Special characters can also be typed by pressing a few keys on the numeric part Num keyboard Lock, but this is mandatory when holding down the Alt key located on both the left and right side of the keyboard. To do this, first of all, you need to turn on the numbering mode (press the Num Lock key - the indicator should light up). Then you can safely move on to typing the desired code. While holding down the Alt key, numeric keypad you need to enter the code of the desired character, consisting of a sequence of several numbers, and then release Alt.

What can be useful knowledge of special characters in Alt-code?

Your surname or first name will look out of the box if you write them beautiful symbols"To your liking", for example, in such social networks like VKontakte. The most popular signs include Euro - €. In this case, the combination "Alt + 0136" is required. The next character on the keyboard - "paragraph" - § (Alt + 0167) is considered practically irreplaceable.

It will be useful for website developers to learn how to "make" in text document sign " trademark": ™. To do this, type "Alt + 0153". There are also other combinations of numbers that are responsible for characters that differ in the English and Russian keyboard layouts. Some of them are unique, so they are available for input by applying the appropriate
Alt code.

You've probably met on the Internet various symbols that are not available on a conventional keyboard. For example, emoticons or hieroglyphs that mimic them in any context, an em dash and em dash (rather than a hyphen or minus, which are often used instead of a dash), or even whole pictures composed of filled rectangles.

All of these characters are included in standard operating system packages because they are contained in the Unicode character table that is supported by all major operating systems.

In addition to the above, among these characters there may be letters of the Russian, Latin and other European alphabets, hieroglyphs, for example, Chinese and Japanese scripts, letters and hieroglyphs from alphabets and records of many other, even extinct languages ​​and dialects. Of course, this is only part of the symbols present in some operating system... This also includes mathematical symbols, punctuation marks, primitive geometric shapes, frames and so on.

How to type special characters on the keyboard in Windows

To perform the following operations, your keyboard must have a numeric keypad, which is usually located on the right (as in the picture below).

Let's check right away that everything will work for sure. To do this, press the Num Lock key on the numeric keypad (or make sure that the key is already on ˜- we need it activated), then, holding down the left Alt (do not release this key while typing a combination), sequentially press any numbers on all the same numeric keypad. You can use, for example, the combination Alt + 1 + 2, which will give us the double note symbol ♫.

Of course, you can accidentally poke at some numbers, over and over again trying to get some interesting and useful symbol... However, everything is much simpler and more convenient, because Windows has its own built-in symbol table. There are similar programs for Linux and OS X, but do not rush to close the article: below we will talk about one excellent online service where you can find any symbol you are interested in from any platform.

So, you can open the "Symbol Table" in two ways:

Now you have access to a huge number of symbols for a variety of purposes. Note, however, that the number differs depending on the selected font. So, the initially selected in the program "Arial" has a fairly large number of characters, unlike many other fonts.

Select the desired symbol, click on it and click on the "Select" button. Your symbol will appear in the To copy field, which can be copied and used anywhere. You can also remember the numerical combination, which is located in the lower right corner of the program (as shown in the screenshot), however, such a combination does not exist for every symbol.

With a high degree of probability, you will not want to delve into this mass of symbols in search of the right one. That is why there is a division into groups in the Unicode table, which is also available in the program we are using. To get to these groups, click on the column Extra options and in the Grouping item in the drop-down list select Unicode Ranges.

A corresponding window will appear, where you can select the group of symbols that suits you. It is quite difficult to get confused here, because the grouping here is quite logical, and the division is detailed. Moreover, in the main window of the program you can see the symbols of the selected group (preview).

We figured out the option for Windows, now let's see how you can select a special character from the Unicode table on any platform (including Windows, of course).

Service for searching Unicode table characters

There is such a good domestic online service as unicode-table.com. It contains all the available characters of the Unicode table with detailed information about each character (at least each has a Unicode number and HTML code). All symbols are divided into groups, which simplifies navigation. The site also has a search by symbols: by power, of course, not the engine search engines but still helps.

Working with the service is pretty trivial, there is nothing to describe here. It can only be noted that navigation through all sections of the Unicode table is in the right side menu on home page site. Click on the name of the current group - a drop-down list of all available sections will appear, through which it is easier to get to the desired symbol.

Instructions

Search square but it can be accelerated. To do this, in the "set" field, select the line "mathematical symbols". For a complete list of characters, set "Unicode (hex)". Code square or you can immediately insert it into the "Character code" field. For symbol square and this is "00b2" or "00B2".

Re-enter square but do it using the panel titled "Previously Used Symbols".
With frequent typing square and configure in the same window "hot keys" and / or autocorrect options.
Also note that not all fonts include the symbol square a.

To put square even faster, type the Alt key combination and the number 0178. Before that, be sure to switch the keyboard to the English layout.

To combine both methods, dial the code square a "00b2" ("00B2") and press the combination alt + x.

To put square standard Word formatting, highlight the deuce, press right button mouse, select in context menu"Font" and check the box "superscript".

If this way You are not satisfied, put square using the usual Word formatting - font reduction and offset. To do this, select a two (future square) and select "Font" from the menu. Choose a font size one third smaller (for example, 8 instead of 12). After that, on the "Interval" tab, select "Offset" - "Up".

To erect in square complex math expression, create a symbol square and in the formula editor.
Select the menu items: Insert - Object - Microsoft Equation 3.0. Then select Superscript and Subscript Templates.

If "Microsoft Equation 3.0" is missing, then insert installation disc with the MS Office distribution kit and run the installation program. Check the Microsoft Equation 3.0 checkbox and after installation it will appear in Word.

There is another way to start the math formula editor. To do this, select the menu items: Insert - Field - Formula - Eq. Then click the Formula Editor button.

To put square with a combination of special characters, press the combination Ctrl + F9 and type the line inside the curly braces that appears: eq s (2), then press F9. As a result, a raised two will appear in the text. However, its size will be the same as the main text, so this method is not very convenient for labeling square a.

The method of isolating the square of a binomial is used to simplify cumbersome expressions, as well as to solve quadratic equations. In practice, it is usually combined with other techniques, including factoring, grouping, etc.

Instructions

The method for isolating the complete square of a binomial is based on the use of two formulas for abbreviated multiplication of polynomials. These formulas are special cases of Newton's binomial for the second degree and allow you to simplify the sought expression so that you can carry out the subsequent reduction or factorization:
(m + n) ² = m² + 2 · m · n + n²;
(m - n) ² = m² - 2 · m · n + n².

According to this method, it is required to extract the squares of two monomials and the sum / difference of their double product from the original polynomial. The use of this method makes sense if the highest power of the terms is not less than 2. Suppose that the task is given to factor the following expression into factors with decreasing power:
4 y ^ 4 + z ^ 4

To solve the problem, you need to use the method of selecting a complete square. So, the expression consists of two monomials with variables of even degree. Therefore, we can denote each of them by m and n:
m = 2 · y²; n = z².

Now you need to bring the original expression to the form (m + n) ². It already contains the squares of these terms, but the double product is missing. You need to add it artificially, and then subtract:
(2 · y²) ² + 2 · 2 · y² · z² + (z²) ² - 2 · 2 · y² · z² = (2 · y² + z²) ² - 4 · y² · z².

In the resulting expression, you can see the formula for the difference of squares:
(2 · y² + z²) ² - (2 · y · z) ² = (2 · y² + z² - 2 · y · z) · (2 ​​· y² + z² + 2 · y · z).

So, the method consists of two stages: selection of monomials of a complete square m and n, addition and subtraction of their double product. The method of isolating the complete square of a binomial can be used not only independently, but also in combination with other methods: parentheses of the common factor, variable replacement, grouping of terms, etc.

Greetings, dear readers! Today I will show you how to type special characters on the keyboard using the Alt key. If you do not quite understand what is at stake from the title of the article, I will explain in more detail.

There are symbols that are simply not on the keyboard, but at the same time they can be used quite often (paragraph icon, arrow, suit, heart). The question immediately arises, how to write this or that character that is not on the keyboard. How to do this will be discussed in this article.

Here are examples of such symbols:

☻☺ ♣♠◘○♀♪♂☼ ↕☼↓→§

Naturally, these are not all symbols, there are many more. You can find a complete table with these symbols below.

And now I will tell you how to print these characters.

So, already from the name it is clear that we will use the Alt key! But we need other keys too!

In the picture below you can see all the keys we need and where they are:

So, in order to print a particular character, you need to hold down the Alt key and, using the additional panel with numbers, type the code of the character we need (the character codes can be taken from the table below). Moreover, it is important to follow the sequence, that is, if you first press 1, and then 2, then the symbol with number 12 will pop up for you, and if you do the opposite: first 2, and then 1, then you will get a completely different symbol with number 21.

For example, the emoticon code (☺) is 1. So, to print a smiley, you need to press the Alt key and, without releasing it, press "1" in the additional panel with numbers, then release the Alt key and the symbol will be printed.

To print an arrow (→) with a code 26, hold down the Alt key, then alternately press “2”, then “6”, and then release the Alt key. The character is printed immediately.

You need to find and select the symbol you need, then copy it from the bottom line and paste it in the place you need. Convenient enough too!