Integral

Integral

This graph shoes a function and its integral.

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Uploaded on Dec 23, 2007

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Derivative

Derivative

This graph shows a function and its derivative.

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Zeta function

Zeta function

Complex numbers can be used in the same way as real numbers. This is a graph of the Reimann zeta function along the line y = 1/2.

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Uploaded on Dec 23, 2007

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Other methods of plotting

Other methods of plotting

Functions can also be plotted by generating a line that approximates the function. In fact, this...

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Adding plots

Adding plots

Different types of plots can be added to each other in the same way that similar plots can be added.

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Matrix plot

Matrix plot

This plot represents each matrix value as a color, where darker is lower.

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Vector field

Vector field

This is a simple vector field plot.

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Uploaded on Dec 23, 2007

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Contour plot

Contour plot

Sage supports contour plots of three-dimensional surfaces.

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Uploaded on Dec 23, 2007

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Bar graph

Bar graph

Sage can create bar graphs from a set of data.

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List plot

List plot

Plots can also be created from a list of points.

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Polar plotting

Polar plotting

This is an example of a polar plot.

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Timing operations

Timing operations

Sage is able to time complicated operations, like factoring numbers.

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Still more on the Taylor series

Still more on the Taylor series

This example uses list comprehensions to automatically generate several Taylor approximations.

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More on the Taylor series

More on the Taylor series

This is a graph of a function compared to its first few Taylor approximations.

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Uploaded on Dec 23, 2007

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Derivatives and Taylor series

Derivatives and Taylor series

Sage supports differentiation and the calculation of the Taylor series.

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Uploaded on Dec 23, 2007

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Large numbers

Large numbers

Sage has no problem with performing extremely large calculations.

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Symbolic matrix calculations

Symbolic matrix calculations

Variables can be used almost anywhere a number is expected.

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More complicated matrix calculations

More complicated matrix calculations

Sage can compute the image, kernel, eigenspaces, and eigenvectors of a matrix.

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Uploaded on Dec 23, 2007

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