Formula input is very natural. Here are some general rules:
"a ^ b" is automatically converted to b . If your exhibitor contains several members, write "a ^ (b + c)", which will be converted to b + c . If you really want a (b + c) write "a ^ ((b + c))".
The same goes for index: \ epsilon_0, for example
The same applies to fractions, for example. 1 / (a + b) is converted to expected.
To insert "sin x", be sure to insert a space between "a" and "sin". Otherwise, the sin function will not be recognized, and therefore it will be italicized (which is incorrect).
Special characters are inserted using the \ chr syntax. Try for example. \ alpha, \ Delta, \ cdot, \ oplus, etc.
In addition, you can try different styles: \ scriptD, \ scriptO, \ doubleR, \ frakturR, etc.
To change a character, try v \ bar, f \ hat, x \ dot, x \ ddot, etc.
To write an n-dimensional sum, just write "\ sum_ (k = 1) ^ \ infty" and then a space to automatically get the sum symbol with "k = 1" below and the infinity sign above. This also works with \ prod, \ int, \ oint, \ bigotimes, etc.
To write the square root, write \ sqrt followed by a space, or with a paranthesized expression.
Brackets of different types are automatically rebuilt. For example, you can write "[a, b]" and get the true bracket. You can also try \ bra \ phi_1 | \ phi_2 \ ket, etc.
You can also write “weird” brackets, such as [0, 1 [(as the Swedes write [0, 1)), only with a little effort: [0, 1\right[ and space.
To switch bold / italic on / off, use Ctrl + B / Ctrl + I (is it Microsoft Word, remember? :)) But you can check the formatting of your last added formulas every time you open the document, because sometimes formatting (bold / italic ) that you changed during the last session is lost or changes when you reopen the document. Reusing formatting usually makes it a stick. However, it seems impossible to correctly format the formulas in the headings and captions of the figures; the default style for these objects (usually bold) cannot be manually "reordered" by the principle "character by character" inside the formula.
To insert a 3 × 3 matrix, write \ matrix (@@ & &) followed by a space. To get the brackets, write (\ matrix (@@ & &)) and a space. You can also enter elements directly (guess how!), But it is often easier to do this after creating the matrix.
You may find Shift + Return useful in some cases when you want to align formulas. In addition, you probably already realized that (x+4)^2 >= 0, \forall x\in\doubleR looks very good in its own line, if you put two spaces after the comma!
To enter plain text in a formula, write the text inside double quotes: for example, a =\above("by the lemma") 0 . Hint: You can create very beautiful double arrows (implication or equivalence) by adding many spaces above them. I recommend this a lot. But be careful: using literal spaces inside formulas often leads to the seemingly random loss of characters next to spaces due to an error (at least in Word 2007 and 2010).