"Values for Symbols" discussed how you can use transformation rules of the form x->value to replace symbols by values. The notion of transformation rules in Mathematica is, ...

Functions for manipulating trigonometric expressions. This expands out a trigonometric expression. This factors the expression.

Start with the expression that will be the numerator. Type x. Create a built-up fraction by pressing the Control and / keys at the same time. The placeholder in the ...

Start with the expression that will be the base. Type x. Create a built-up power by pressing the Control key and the 6 key at the same time.

To get a radical, press the Control key and the 2 key at the same time. Press Ctrl+2 or Ctrl+@. Type the radicand inside the placeholder (which is already selected).

To get a square root sign, press the Control key and the 2 key at the same time. Press Ctrl+2 or Ctrl+@. Type inside the placeholder (which is already selected).

Type the symbol that will have the subscript. Type x. Create a subscript by pressing the Control key and the - key at the same time.

Type the symbol that will have the superscript. Type x. Create a superscript by pressing the Control key and the 6 key at the same time.

Basic vector operations. This is a vector in three dimensions. This gives a vector u in the direction opposite to v with twice the magnitude.

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