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The Tk library comes with a number of predefined widgets Some are the basic building blocks of your typical GUI application, such as Button and Label Others are composites of other widgets Table 17-1 lists the basic widgets that are supported by the Tk system

A subclass of the Image widget for displaying bitmap images A simple push-button widget with similar properties to the Label widget A drawing area into which you can place circles, lines, text, and other graphic artifacts

Due to the lower triangular structure of L, eqn (B40) is easily solved for z, then using the upper triangular structure of U eqn (B41) is easily solved for x

Table 17-1

17:

B11

Checkbutton Entry Frame Image Label Listbox Menu Menubutton Message OptionMenu PhotoImage Radiobutton Scale Scrollbar Text Toplevel Tributton

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A multiple-choice button widget, where each item within the selection can be selected individually A single-line text entry box A container for arranging other widgets A simple widget for displaying bitmaps, pixmaps (color bitmaps), and other graphic objects A simple box into which you can place message text (not editable) A multiline list of selection choices A list of menu selections that can be made up of Label, Message, Button, and other widgets A menu (within a single menu bar) that lists the selections specified in a Menu object A multiline Label object (not editable) A special type of Menu widget that provides a pop-up list of items within a selection A subclass of the Image widget for displaying full-color images A multiple-choice button widget, where you can choose only one of multiple values A slider that allows you to set a value according to a specific scale A slider for controlling the contents of another widget, such as Text or Canvas A multiline text widget that supports editable text that can also be tagged for display in different fonts and colors A window that will be managed and dressed by the parent window manager An adaptation of the Button widget that allows it to support three different states instead of the normal bipolar on/off

This file is updated frequently, so you may want to check back periodically for bug fixes and new features. Be aware that installing a newer version may break stuff that currently works. Usually this is worth the trade-off.

Table 17-1

Given a positive de nite symmetric matrix P, the UD decomposition computes an upper triangular matrix U and a diagonal matrix D such that P = UDU This section outlines the computation of the UD factors in the case where P is a 3 3 matrix General algorithms can be found in [59] Kalman lter implementations algorithms using the UD decomposition are presented in [60, 121] For P R3 3 , the UD factorization is

The Basic Widget Set (continued)

One of the advantages of Tk is that because it supports such basic levels of widgets, they can be combined or modified to build other widgets For example, the ScrolledText widget is a combination of the Scrollbar and Text widgets that allows you to control what part of the Text widget s text is displayed, according to the position of the Scrollbar At first, this makes Tk look far less practical than other more feature-rich toolkits For example, unlike Windows and some of the Unix-based toolkits, Tk doesn t support a standard dialog box widget you have to make one yourself On the other hand, because you have to make it yourself, you can produce a custom version, perhaps including an error or reference number something that the predefined toolkits wouldn t be able to support The downside is that the development process can take longer you spend a long time introducing the standard artifacts of a good GUI but the flexibility wins out in the end We ll take a closer look at some of the more commonly used widgets as we go through the rest of this chapter

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