![wolframalpha power series wolframalpha power series](https://i.stack.imgur.com/4gLzG.png)
Much like on the website, you see a plot of the population histories. Suppose you wanted to compare the growth of Las Vegas, Nevada and Phoenix, Arizona, two major American cities that have grown tremendously over the last three decades. By setting, for example, x min and y min to 0, we see how the function behaves in the first quadrant (the region where both variables are positive).Īnother key innovation of the Mathematica interface to Wolfram|Alpha is called exposed data. You can now zoom in to focus on a particular feature or zoom out to see how the function behaves over a larger area. Yet in this case, you get even more features, including sliders for changing the x and y ranges in the plot. By doing this inside of Mathematica, you automatically get a resizable and rotatable graphic. On the live site, you get a single image of one view of the plot. However, Wolfram|Alpha knows when the Mathematica interface is being used to access it and can provide new results that are simply not possible on the website. The above example shows how you can interact with website results in new ways. Again, since Mathematica knows the underlying vector graphic, you can set a large resolution in the saved file to create a high-quality graphic.
![wolframalpha power series wolframalpha power series](https://media.cheggcdn.com/study/4b9/4b92a84e-097e-4f08-a252-f02ed5b95b11/image.png)
Moreover, if you right-click (or Control-click on a Mac) the graphic, you will get a context menu that allows you to copy the graphic to the clipboard for use in another program, to print it out, or to save it in a variety of file formats, which include PDF, PNG, JPEG, TIFF, and EPS. To resize, click the resize points on the frame that appear after clicking on the graphic. For example, let’s look at everyone’s favorite three-dimensional surface, the Mathematica Spikey.īy simply clicking and dragging, you can rotate the Spikey. Moreover, since Mathematica receives the underlying vector graphic from Wolfram|Alpha and not simply a bit-mapped image, this means that enlarging a graphic provides greater detail instead of a boxy image.
![wolframalpha power series wolframalpha power series](https://mathworld.wolfram.com/images/equations/ParsevalsTheorem/NumberedEquation2.gif)
In Mathematica, all graphics can be resized, and three-dimensional graphics can be rotated.
WOLFRAMALPHA POWER SERIES FULL
You’ll get back the same results as on the website-and more! Using the full power of the Mathematica software, this interface to Wolfram|Alpha allows new levels of interactivity and detail. Now simply type anything that you would type into the Wolfram|Alpha website. Inside a Mathematica notebook document, just type = at the beginning of a line you’ll get an orange Spikey icon indicating that Mathematica is ready to perform a Wolfram|Alpha query. With the new Mathematica 8, you can access the Wolfram|Alpha engine directly from within Mathematica.
![wolframalpha power series wolframalpha power series](https://i.stack.imgur.com/0ZWFh.jpg)
There are even private custom versions of Wolfram|Alpha used to analyze confidential corporate data.īut now there’s another interface to Wolfram|Alpha, one which brings with it a whole new set of capabilities: Mathematica. The Wolfram|Alpha API allows programmers to integrate Wolfram|Alpha’s data and computation abilities in their own programs. Widgets allow users to tap portions of Wolfram|Alpha and bring them into their own webpages.
WOLFRAMALPHA POWER SERIES ANDROID
Mobile apps for Google’s Android and Apple’s iOS make Wolfram|Alpha accessible anywhere. While the website may be the most familiar way to access these technologies, there are many potential uses and interfaces for the Wolfram|Alpha technology.
WOLFRAMALPHA POWER SERIES SERIES
Explore the relations between functions and their series expansions, and enhance your mathematical knowledge using Wolfram|Alpha's series expansion calculator.įollowing is a list of examples related to this topic-in this case, different kinds and orders of series expansions.Wolfram|Alpha isn’t just the website it’s a whole range of technologies. Wolfram|Alpha is a great tool for computing series expansions of functions. More than just an online series expansion calculator