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I have conneccted my notebook to a beamer. Is it better to adapt the
the resolution of the graphicard to the resolution of the beamer or to the PAL standard?

thx

Depends...

What's the physical resolution and frame rate of that beamer?
Is it made for *VGA only, or can it take video signals as well?
Means, does it also scan interlaced or bring it's own deinterlacing routine?

4:3 or 16:9 format?


Normally it's the best, to feed a beamer with it's own physical resolution and frame rate. Then the raster conversion and in case frame rate conversion had to be done by your computer, VGA card and driver, codec used.

However, results may differ, so perhaps try out both ways.
Either let the VGA and PC do most of the labour and try to feed the original display mode, or let the beamer try to do most of the job. Compare by watching a record, taken from some life TV picture, not from a movie, as those are converted already in most cases and won't suffer from interlace issues normally. Include fast moving scenes, like from soccer or car race f.e.

Some VGA cards can output original (analogue) PAL resolution, 768x576, but normally have to use 60 (full / progressive) frames (at least), the original frame rate of most LCD / TFT panels.

Older beamers with CRT technology would prefer and work best with original PAL625 50i.

However, try to avoid double conversion, like sending original 50i material converted to 70p frames to a 60p frames display / panel, or letting the VGA convert from 576 to 600 lines, the beamer to 768 or alike.
If any possible, just one conversion, and have that done at the stage, that has the better method for this.

So, a few details might have been helpful...

thx,

a lot of homework to be done