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Individual events are grouped into different classes called modifiers, types, and details A modifier is a special key, such as ESC, CTRL, META, ALT, and SHIFT Mouse buttons are also grouped into this class, so you get Button1, Button2, Double (for a double click), and Triple (for a triple click) There is also a special modifier, Any, which matches all of the modifiers, including none The type of event is one of KeyPress, KeyRelease, ButtonPress, ButtonRelease, Enter, Leave, and Motion Note that you can identify both a keypress and its release, so you can configure a game, for example, to accept a certain keypress, and only stop processing when the key is finally released The same is true of button presses and releases Finally, the Leave option identifies when the pointer leaves the confines of a widget (useful for tear-off menus and palettes), and Motion identifies when the pointer has been moved whilst a button and/or keyboard combination is pressed The detail class is only used for keyboard bindings and is a string defining the character that has been pressed In addition, it also supports ENTER, Right, DELETE, BACKSPACE, ESC, F1, and the basic ASCII characters, A Z, punctuation, and so on To make life easier, the Tk library also allows you to use abbreviations of the most common keypresses so that <KeyPress-z> can be specified simply as <z> and <Button1-ButtonPress> as <1> In addition, the Text and Canvas widgets allow an even finer granularity on individual bindings, allowing you to attach a binding to a specific tag The format of bind changes accordingly: the first argument now defines the tag to identify, and the second and third arguments define the binding and function to be called Thus, you can create a binding for pressing the second button on a piece of tagged text:.

$text->bind('word', '<2>', \&synonym_menu);

which has a unit diagonal and nonzero elements only below the diagonal in the i-th column The matrix Ai = Li Ai 1 will have all zero elements below the diagonal in the rst i columns Because the last (n r) rows of A0 are a linear combination of the the rst r rows, the last (n r) rows of Ar will be zero De ne U = Ar and note that U can be expressed as U= C 0 D 0 (B39)

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Since it s possible to bind any key or button sequence to a function, it s also possible to assign multiple bindings to a single handler In these instances, the handler must be able to determine what key or button was pressed and where the cursor was at the time the event occurred To obtain the event details, you use the Ev function, which extracts the information from the event itself, since it is the event that records the information about what was pressed and where The Ev( k ) call returns the keycode that triggered the event, as previously defined, and Ev( x ) and Ev( y ) return the x and y coordinates of the mouse pointer when the event was received To use this, you need to supply an array as the value to the function-binding argument:

You can beef up (in my family, that would be soy up ) VWD by downloading the Reporting Add-in, which consists of the ReportViewer control, an integrated report designer, and report programming interface.

$widget->bind("<Button1>", [\&redo, Ev('k')]);

The first element of the array reference is the function to be called, and further elements are the arguments to be passed to the function

where C Rr r is upper diagonal and invertible, and D Rr (m r) From the de nition of each Li for i = 1, , r, U = Lr Ar 1 = Lr Lr 1 Ar 2 U = Lr Lr 1 L1 P 1 A; therefore, de ning L = L 1 L 1 L 1 we have that 1 r 1 r A = PLU where L and P are nonsingular In the case where the matrix A has rank equal to m, then for P = I, the LU decomposition facilitates the solution for x to problems of the form y = Ax The problem is decomposed into two subproblems Lz = Ux = y z (B40) (B41)

To understand how the Tk system works, we ll take a brief look at the most commonly used widgets There are many exceptions that are not listed, due to space constraints If you want more information, check the well-organized and voluminous documentation supplied with the Perl/Tk package

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