# Extreme Graphics with Extrema

To plot two-dimensional data, you can use:

```
GRAPH x y
```

where x and y are two vectors of equal length. The default is to draw the data joined by a solid line. If you want your data as a series of disconnected points, you can set the point type to a negative number, for example:

```
SET PLOTSYMBOL -1
```

Then you can go ahead and graph your data.

Parametric plots also are possible. Let's say you have an independent variable called t that runs from 0 to 2*Pi. You then can plot t*sin(t) and t*cos(t) with:

```
t = [0:2*pi:0.1]
x = t * sin(t)
y = t * cos(t)
graph x y
```

This will give you the plot shown in Figure 4.

Figure 4. Graphing a Parametric Plot

In scientific experiments, you usually have some value for error in your measurements. You can include this in your graphs as an extra parameter to the graph command, assuming these error values are stored in an extra variable. So, you could use:

```
graph x y yerr
```

to get a nice plot. Many options are available for the graph command (Figure 5).

Figure 5. The graph command has many available options.

More complicated data can be graphed in three dimensions. There are several types of 3-D graphs, including contour plots and surface plots. The simplest data structure would be a matrix, where the indices represent the x and y values, and the actual numbers in the matrix are the z values. If this doesn't work, you can represent the separate x, y and z values with three different vectors, all of the same length. The most basic contour graph can be made with the command:

```
CONTOUR m
```

where m is the matrix of values to be graphed. In this case, Extrema will make a selection of nice contour lines that create a reasonable graph.

You can draw a density plot of the same data with the density command, where the values in your matrix are assigned a color from a color map, and that is what gets graphed. Unless you say differently, Extrema will try to select a color map that fits your data the best. A surface plot tries to draw a surface in the proper perspective to show what surface is defined by the z values in your data.

Let's finish by looking at one of the more important analysis steps, fitting an equation to your data. The point of much of science is to develop equations that describe the data being observed, in the hope that you then will be able to predict what you would see under different conditions. Also, you may learn some important underlying physics by looking at the structure of the equation that fits your data. Let's look at a simple fitting of a straight line. Let's assume that the data is stored in two vectors called x and y. You'll also need two other variables to store the slope and intercept. Let's call them b and a. Then you can fit your data with the command:

```
SCALAR\FIT a b
FIT y=a+b*x
```

Then, if you want to graph your straight line fit and your data, you can do something like:

```
SET PLOTSYMBOL -1
SET PLOTSYMBOLCOLOR RED
GRAPH x y
SET PLOTSYMBOL 0
SET CURVECOLOR BLUE
GRAPH x a+b*x
```

Now that you have seen the basics of what Extrema can do, hopefully you will be inspired to explore it further. It should be able to meet most of your data-analysis needs, and you can have fun using the same tool that is being used by leading particle physicists.

- « first
- ‹ previous
- 1
- 2
- 3

Joey Bernard has a background in both physics and computer science. This serves him well in his day job as a computational research consultant at the University of New Brunswick. He also teaches computational physics and parallel programming.

## Trending Topics

## Enterprise Linux

Do you use Ansible? | Sep 22, 2017 |

Manifold Makes Managing Cloud Developer Services Easy | Sep 21, 2017 |

Sysadmin 101: Leveling Up | Sep 21, 2017 |

YouTube on the Big Screen | Sep 20, 2017 |

Key Considerations for Software Updates for Embedded Linux and IoT | Sep 19, 2017 |

Paragon Software Group's Paragon ExtFS for Mac | Sep 18, 2017 |

- Sysadmin 101: Leveling Up
- Key Considerations for Software Updates for Embedded Linux and IoT
- Teradici's Cloud Access Platform: "Plug & Play" Cloud for the Enterprise
- Do you use Ansible?
- Simple Server Hardening
- IGEL Universal Desktop Converter
- Server Technology's HDOT Alt-Phase Switched POPS PDU
- Bash Shell Script: Building a Better March Madness Bracket
- Nventify's Imagizer Cloud Engine
- From vs. to + for Microsoft and Linux

## Comments

## Intersting Review!! I'm Gonna

Intersting Review!! I'm Gonna Look in to this.

## Reply to comment | Linux Journal

I thinκ this is one of the most ѵital informatіon for me.

And i am glad reading your artіcle. Вut wаnt to гemark on few genегal thіngs, The wеbsite stylе iѕ idеal,

the articles іs really great : D. Gоod jοb, cheers

Μу homepаge design orange county

## A batch fashion

It has both a complete graphical interface for interactive use in data analysis and a command language that allows you to process larger data sets or repetitive tasks in a batch fashion. From Android Phone review

## The main consideration for

The main consideration for most forms of Chinese clothing is comfort. Traditional Chinese clothes, at least the ones worn for daily life, were generally not form-fitting or tight. Ancient tunics for women were loosely worn down to their feet, and the tunics for men came to their knees and were worn over loose-fitting pants. During the Tang Dynasty, large, graceful sleeves become a fashion, reflecting the broadminded, artistic times. Chinese Products

## corporate business law

Thank you so much for this review! I found it very helpful, this seem like a program that would be of great use to me. Keep it up!

AAV Advisories - law of taxation in india & accounting management system

## Gnuplot will be more ok

want it

## just use ROOT, the standard

just use ROOT, the standard tool used in High Energy Physics

## Why dont use gnuplot ?

Why dont use gnuplot ?