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Two-Dimensional Expression Input—Wolfram Language Documentation

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TECH NOTE Two-Dimensional Expression Input Moving through Expressions Moving the Cursor by Typing You can use the keyboard to move the cursor forward or backward one character or one word at a time. You can also delete the character or word to the right or the left of the cursor, and you can move the cursor to the beginning or end of a line. Getting out of an Expression Move to the end of the next-higher subexpression by pressing Ctrl and Space at the same time. Press Ctrl+Space repeatedly: Selecting the Next Placeholder Select the next placeholder by pressing the Tab key. Select the previous placeholder by pressing Shift and Tab at the same time. Press Shift and Tab at the same time: Press Shift+Tab repeatedly: Switching Positions Move back and forth between complementary positions by pressing Ctrl+5 or Ctrl+%. First, alternate between a radicand and an index: Next, alternate between a superscript and a subscript: Finally, alternate between an overscript and an underscript: Selecting and Deleting Expressions Selecting the Next-Higher Subexpression Select the next-higher subexpression by pressing Ctrl+.. Deleting to Destructure an Expression Get rid of the contents of an expression and destructure it by pressing Del (or Backspace). Press Backspace repeatedly: Another Example Press Backspace repeatedly: Typing Start with the expression that will be the numerator. Create a built-up fraction by pressing the Control and / keys at the same time. The placeholder in the denominator is already selected. Move the insertion point out of the fraction by pressing the Control key and the Space bar at the same time. Typing Start with the expression that will be the numerator. Create a built-up fraction by pressing the Control and / keys at the same time. The placeholder in the denominator is already selected. Move the insertion point out of the fraction by pressing the Control key and the Space bar at the same time. Once the insertion point is out of the fraction, you can continue typing. Typing Start with the expression that will be the numerator. Create a built-up fraction by pressing the Control and / keys at the same time. The placeholder in the denominator is already selected. Continue typing in the denominator and then move out of the fraction. Move the insertion point out of the fraction by pressing the Control key and the Space bar at the same time. Typing Create a built-up fraction with Ctrl+/. The numerator and denominator contain placeholders; the one in the numerator is selected. Type an expression in the numerator. Select the placeholder in the denominator by pressing the Tab key. (Alternatively, you can select the placeholder by clicking it or dragging.) Get out of the fraction by pressing the Control key and the Space bar at the same time. Another Way of Typing Start with the expression that will be the numerator. Select the expression. (You can select by dragging, by pressing Ctrl+. repeatedly, or by clicking the expression repeatedly.) Create a built-up fraction by pressing Ctrl+/. Get out of the fraction by pressing the Control key and the Space bar at the same time. Typing xm Start with the expression that will be the base. Create a built-up power by pressing the Control key and the 6 key at the same time. Type the exponent into the placeholder (which is already selected). Move the insertion point out of the exponent down to the baseline by pressing the Control key and the Space bar at the same time. Typing xm+yn Start with the expression that will be the base. Create a built-up power by pressing the Control key and the 6 key at the same time. Type the exponent into the placeholder (which is already selected). Move the insertion point out of the exponent down to the baseline by pressing the Control key and the Space bar at the same time. Add the second power in a similar way. Type y, press Ctrl+^, type n, and press Ctrl+Space: Typing xm+n Start with the expression that will be the base. Create a built-up power by pressing the Control key and the 6 key at the same time. Type the exponent into the placeholder (which is already selected). Move the insertion point out of the exponent down to the baseline by pressing the Control key and the Space bar at the same time. Typing Start with the expression that will be the base. Create a built-up power by pressing the Control key and the 6 key at the same time. Type the exponent into the placeholder (which is already selected). Construct a built-up fraction in the exponent. Press the Control key and the Space bar twice to get down to the baseline. Typing To get a square root sign, press the Control key and the 2 key at the same time. Type inside the placeholder (which is already selected). Press the Control key and the Space bar at the same time to get out of the square root. Typing To get a square root sign, press the Control key and the 2 key at the same time. Type inside the placeholder (which is already selected). Press the Control key and the Space bar at the same time to get out of the square root. Type the second square root in the same way as the first. Press Ctrl+@, type y, and press Ctrl+Space: Typing To get a square root sign, press the Control key and the 2 key at the same time. Type inside the placeholder (which is already selected). Press the Control key and the Space bar at the same time to get out of the square root. Another Way of Typing Start by typing the expression that will be inside the square root. Select the expression. (You can select by dragging, by pressing Ctrl+. repeatedly, or by clicking the expression repeatedly.) Press the Control key and the @ key at the same time to put a square root around the selection. Get out of the square root by pressing the Control key and the Space bar at the same time. Typing To get a radical, press the Control key and the 2 key at the same time. Type the radicand inside the placeholder (which is already selected). Press the Control key and the 5 key at the same time. Get out of the radical and down to the baseline by pressing the Control key and the Space bar at the same time. Typing To get a radical, press the Control key and the 2 key at the same time. Type the radicand inside the placeholder (which is already selected). Press the Control key and the 5 key at the same time. Get out of the radical and down to the baseline by pressing the Control key and the Space bar at the same time. Type the second radical in the same way as the first. Press Ctrl+@, type y, press Ctrl+%, type n, and press Ctrl+Space: Typing To get a radical, press the Control key and the 2 key at the same time. Type the expression in the placeholder (which is already selected). Press the Control key and the % key at the same time to create an index. Type the index in the placeholder (which is already selected). Get out of the radical and down to the baseline by pressing the Control key and the Space bar at the same time. Creating a New Matrix

Filling in Placeholders in a Matrix Suppose the entry in the top-left position is selected. Type an entry and select the next placeholder with the Tab key; repeat. (Use Shift+Tab to go backward.) Press the Control key and the Space bar at the same time to get out of the grid. Type d, press Ctrl+Space: Move the insertion point to get out of the matrix. Adding a New Column in a Matrix Place the insertion point to the right of any entry; here the insertion point is to the right of the entry at the top left. Place the insertion point: Press the Control and Comma keys at the same time. A column of placeholders will appear, with the top one selected. Adding a New Row in a Matrix Place the insertion point to the right of any entry; here the insertion point is to the right of the entry at the top left. Place the insertion point: Press the Control and Enter keys at the same time. A row of placeholders will appear, with the first one selected. Typing Superscript xi Type the symbol that will have the superscript. Create a superscript by pressing the Control key and the 6 key at the same time. Type the superscript into the placeholder (which is already selected). Move the insertion point out of the superscript position down to the baseline by pressing the Control key and the Space bar at the same time. Typing Superscript xi j Type the symbol that will have the superscript. Create a superscript by pressing the Control key and the 6 key at the same time. To avoid multiplying the two superscripts, separate them with an invisible comma. To type the alias for an invisible comma, press the Escape key before and after typing a comma. Type i, press Esc, type a comma, press Esc, and type j: Get out of the superscript position down to the baseline by pressing the Control key and the Space bar at the same time. Typing Superscript x2 3 Type the symbol that will have the superscript. Create a superscript by pressing the Control key and the 6 key at the same time. To avoid multiplying the two superscripts, separate them with an invisible comma. To type the alias for an invisible comma, press the Escape key before and after typing a comma. Type 2, press Esc, type a comma, press Esc, and type 3: Get out of the superscript position down to the baseline by pressing the Control key and the Space bar at the same time. Typing Superscript xni Type the symbol that will have the superscript. Create a superscript by pressing the Control key and the 6 key (or the ^ key) at the same time. Type the superscript into the placeholder (which is already selected). Create a subscript of a superscript by pressing the Control key and the _ key at the same time. Press the Control key and the Space bar at the same time twice to get down to the baseline. Typing xi Type the symbol that will have the subscript. Create a subscript by pressing the Control key and the - key at the same time. Type the subscript into the placeholder (which is already selected). Move the insertion point out of the subscript position up to the baseline by pressing the Control key and the Space bar at the same time. Typing xi j Type the symbol that will have the subscript. Create a subscript by pressing the Control key and the - key at the same time. Type the subscript into the placeholder (which is already selected). Press the Space bar and then type j. *To avoid multiplying the two subscripts, separate them with an invisible comma. To type the alias for an invisible comma, press the Escape key before and after typing a comma. Press Esc, type a comma, press Esc, and type j: Move the insertion point out of the subscript position up to the baseline by pressing the Control key and the Space bar at the same time. Typing x2 3 Type the symbol that will have the subscript. Create a subscript by pressing the Control key and the - key at the same time. Type the subscript into the placeholder (which is already selected). To avoid multiplying the two subscripts, separate them with an invisible comma. To type the alias for an invisible comma, press the Escape key before and after typing a comma. Press Esc, type a comma, press Esc, and type 3: Move the insertion point out of the subscript position up to the baseline by pressing the Control key and the Space bar at the same time. Typing xni The first three steps create and fill in the subscript and its subscript. Type x, then press Ctrl+_: Type n, then press Ctrl+_: Press the Control key and the Space bar at the same time twice to get up to the baseline. Typing Type the expression that will have an overscript. Create an overscript by pressing the Control key and the 7 key at the same time. Type an underscore into the placeholder (which is already selected). Move the insertion point out of the overscript position down to the baseline by pressing the Control key and the Space bar at the same time. Typing Press the Control key and the 7 key at the same time. This creates a pair of placeholders, one on the baseline and another in the overscript position. Type an underscore into the placeholder in the overscript (which is already selected). Press the Tab key to select the placeholder that is on the baseline. Type the expression under the overscript. Press the Control key and the Space bar to get out of the overscripted expression. Typing Type the expression that will have an underscript. Create an underscript by pressing the Control and Shift keys and the , key at the same time. Type an underscore into the placeholder (which is already selected). Move the insertion point out of the underscript position up to the baseline by pressing the Control key and the Space bar at the same time. Typing Press the Control and Shift keys and the , key at the same time. This creates a pair of placeholders, one on the baseline and another in the underscript position. Type the expression into the placeholder (which is already selected). Press the Tab key to select the placeholder that is under the baseline. Press the Control key and the Space bar at the same time to get out of the underscripted expression. Typing Type lim, and press Ctrl+Shift+,: Press Esc, type ->, and press Esc: Type a, and press Ctrl+Space:

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