# Mathematical Notation in Notebooks

If you use the notebook front end for *Mathematica*, then you can enter some of the operations discussed here in special ways.

| Sum[f,{i,i_{min},i_{max}}] | sum |

| Product[f,{i,i_{min},i_{max}}] | product |

| Integrate[f,x] | indefinite integral |

| Integrate[f,{x,x_{min},x_{max}}] | definite integral |

| D[f,x] | partial derivative |

| D[f,x,y] | multivariate partial derivative |

Special and ordinary ways to enter mathematical operations in notebooks.

This one of the standard palettes for entering mathematical operations. When you click a button in the palette, the form shown in the button is inserted into your notebook, with the black square replaced by whatever you had selected in the notebook.

EscsumEsc | summation sign |

EscprodEsc | product sign |

EscintEsc | integral sign |

EscddEsc | special differential for use in integrals |

EscpdEsc | partial derivative |

Ctrl+_ or Ctrl+- | move to the subscript position or lower limit of an integral |

Ctrl+^ or Ctrl+6 | move to the superscript position or upper limit of an integral |

Ctrl++ or Ctrl+= | move to the underscript position or lower limit of a sum or product |

Ctrl+& or Ctrl+7 | move to the overscript position or upper limit of a sum or product |

Ctrl+% or Ctrl+5 | switch between upper and lower positions |

Ctrl+Space | return from upper or lower positions |

Ways to enter special notations on a standard English-language keyboard.

You can enter an integral like this. Be sure to use the special differential

entered as

EscddEsc, not just an ordinary

.

Out[1]= | |

Here is the actual key sequence you type to get the input.

Out[2]= | |

When entering a sum, product or integral that has limits, you can create the first limit using the standard control sequences for subscripts, superscripts, underscripts, or overscripts. However, you must use Ctrl+% to create the second limit.

You can enter a sum like this.

Out[3]= | |

Here is the actual key sequence you type to get the input.

Out[4]= | |