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                      Symbols

                      Reading time: 1min

                      Here you'll find the standard mathematical symbols.

                      These buttons are for the symbols' nice-looking versions. Sometimes you can write directly with the keyboard; it won't be charming, but it will work. For example, you can use the keyboard slash / for fractions. You can use the keyboard parentheses (), but the parentheses from buttons are better because they expand with the content.

                       

                      Constants

                      You must use the buttons for e and i. Keyboard e and i are just variables; they aren't the standard constants.

                      The four basic operations

                      You can use multiple symbols for multiplication: * asterisk, · middle dot, the one in the menu, and also space. That's it; a space between variables or numbers is an implicit multiplication. The * asterisk is automatically converted to a nicer middle dot ·. About division, apart from the symbol in the menu, you can also use / slash and, of course, the fraction symbol.

                      Brackets

                      Do not use curly or square brackets as parentheses. Use only proper parentheses.

                      Bidimensional symbols

                      Inequality symbols

                      Other symbols

                      Decimal separator

                      The dot (.) is for the decimal point, the comma (,) is for lists, and the apostrophe ('' ' '') is for derivation. The decimal point is the dot, but the others don't have that function. There is no digit grouping symbol, nor are there spaces. Spaces mean implicit multiplication. The head decimal point is not allowed; use the leading zero in those cases. The trailing decimal point is allowed.

                      You can convert an exact expression to an approximation by making a simple operation with a decimal number, like multiplying by 1.0.

                      Plus Minus

                      Sometimes we are interested in the result of an expression when we add and subtract the same amount, as when we want to compute the roots of a degree two polynomial. The plus-or-minus symbol allows us such and more things.

                      • If, for instance, we want to compute 3 plus-or-minus 2, we expect left curly bracket 5 comma 1 right curly bracket
                      • We can also use it as a unary operator: plus-or-minus 2 equals left curly bracket 2 comma negative 2 right curly bracket

                      Every possible sign will be computed when we use the plus-or-minus symbol. Therefore, if we write nplus-or-minus symbols, we will get a list of 2 to the power of n elements. Some of them may be repeated since it is a list, not a set (for instance, plus-or-minus 0 equals left curly bracket 0 comma 0 right curly bracket).

                      We can use the plus-or-minus symbol in all the basic operations (plus, minus, product, division, root, power) and some elementary functions (exponential, logarithm, trigonometric and hyperbolic functions and their inverses).

                      Examples

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                      • Arithmetic
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                      Constants The four basic operations Brackets Bidimensional symbols Inequality symbols Other symbols Decimal separator Plus Minus Examples

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