Am 12.03.2013 18:57, schrieb leonid baranov:

New package installation.
-- I "installed" the font packages using the
"MiKTeX Package Manager". But then I was supposed to
"Update the file name data base" and to "Update all
format files" in the "MiKTeX Options (Admin) > General"
dialog.

You don't need to do that MiKTeX does this for you automatically.
It seems your MiKTeXinstallation is misconfigured. i propose to
1. uninstall LyX
2. uninstall MiKTeX_completely_
3. check the Windows registry that there are no residues of MiKTeX
4. reinstall LyX using the latest bundle installer (which includes MiKTeX):
http://sourceforge.net/projects/lyxwininstaller/files/LyXWinInstaller/2.0.5.1/LyX-2051-Bundle-5.exe/download

Non-default fonts.
-- I could swear your sample LyX was still producing
a bitmapped Russian on my system,

I tried this on different machines now and it always worked.

I tried a Latin Modern Roman (perhaps, a T2A encoding, too,
can't be sure anymore).

That cannot help, because Latin Modern does not include Cyrillic character (as the name "Latin" implies). I guess the cm-super fonts still did the trick for you because they will still be used if a font does not contain Cyrillic.

Font change.
-- Suppose I need to switch between several different font
designs in the body of a document

No you don't. Leave all fonts at default setting. cm-super will select the right glyphs automatically for you. (The default are the different shapes of the Computer modern fonts and CM-super is their vector replacement.) Many basic fonts like Palatino don't include Cyrillic.

If you really want to use another font than Computer modern, then use ttf/otf fonts via the docment font settings option "use-non TeX fonts". For more info abot this option, see the LyX userGuide, sec. 3.7 "Fonts and Text Styles"

Latex font names.
-- How can I learn which fonts are available on my system
and what are their "Latex" names which can be used in these
commands?

All fonts that you can select via the document settings are installed. The next LyX version supports a few more fonts, but thanks to XeTeX you can use nowadays every font you like as TTF or OTF font.

Character sets in the fonts
-- How can I learn which symbols are available in which fonts?

The quickest way is to google them  e.g. by googling for "CTAN latin modern".

Settings combinations
-- How can I learn legitimate combinations of input encodings,
font encodings and font names?

LyX does the font encoding stuff for you, the same is with the input encoding stuff. If you really want to play with the input encoding, see the document settings. utf8 might also be suitable for you instead of the default koi-8r/u but I would only change this if your really need this.

regards Uwe

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