Set the following style.
TE_NO_VSCROLL: For multiline controls only: vertical scrollbar will never be created. This limits the amount of text which can be entered into the control to what can be displayed in it under MSW but not under GTK2. Currently not implemented for the other platforms.
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Windows7, Python 2.7.4., WxPython 126.96.36.199., some Python 3.3