следить

1) General subject: attend, dog (за чем-л.), follow (взглядом), follow up, have an eye, keep eye (за чем-либо), keep track of, look after, monitor, monitor (постоянно или время от времени), outwatch, overlook, see to smth., shadow, shepherd, spy, spy on, stag, stake out (за кем-л.), surveille (за кем-л.), take care, trace (за кем-либо, чем-либо), track, watch, keep under observation, see to, spy on (за кем-л.), spy upon (за кем-л.), keep tabs (on - за), keep tabs on somebody (за кем-либо), baby-sit (за чем-либо: Someone must baby-sit the machine until it is running properly.), ride herd on (something or someone), exercise care, keep a tab, keep an eye, watch out

2) Medicine: observe

3) Literal: look, keep tab on (за-on), keep tabs on (за-on)

4) Military: follow (за целью), foot-mark, foot-marks, foot-print, foot-prints, keep tab on (за), leave traces, (непрерывно) shadow, tag

5) Engineering: hunt, tend, trail

6) Rare: indagate

7) Mathematics: make sure, watch (не требует предлога), take care of (за чем-либо)

8) Politics: oversee (за чем-л., кем-л.)

9) Jargon: keep an eye on, snitch

10) Information technology: take care of

11) Business: attend to, keep tabs on, ensure

12) Network technologies: keep track

13) Makarov: investigate, keep watch over, retrace, track (за целью)