Stall is the configuration of airstream around aerodynamic shape that cause detachment of the airstream from the shape surface. The airflow abruptly changes from laminar to turbulent. As a consequence, the force ballance changes abruptly (from dominant lift to dominant drag)
You can have (wing) stall, controls stall and engine stall. But all work exactly the same.
For wing it means loss of lift, for engine it means lost of thrust (propeller, fan blade) or engine stop (compressor blade stall). For controls it means no effect of the inputs.
The state of the wing (propeller, blade, contol) is defined by relative air speed, angle of attack, current wing (propeller, blade, wing-control assembly) geometry, air density and incomming airflow (laminar, turbulent or mixed). Those are all the variables affecting the stall conditions.
The condition easiest to control is airspeed, then AoA and wing geometry. Rest is out control.
So for one airplane - one registration number, one flight - you have infinite ammout of stall speeds.
Luckily it is quite well behaving function of two/three variables, considering all other reasonably constant.
That's why you have a table of stall speeds.
Flaps are designed to alter stall properties. Higher flaps mean lower stall speed and allow higher AoA than no-flaps. In expense of higher drag.
Angle of attack affects the stall speed significantly, so the stall speeds are tabelated for given flaps and listed AoA.
If you have ice on wings (propeller, fan, blade,...) such tables are of no use - stall speeds are (much) higher, unpredictably higher. In turbulent air (storm cloud, behind another plane,...) such tables are of no use either - you want to get out of such dirty air as soon as possible and regain control.
Secondary parameters are:
- Weight - Heavier plane needs higher AoA to maintain ballance (higher lift demand) and is easier to stall. (Nose down means descending)
- Ballance - Aft centre of gravity "pushes" nose up naturally increasing AoA. Must be countered by elevators. (Elevators are closer to their nose-down limit)
- Yaw, bank - those alter the net force ballance out of the "sideview plane" reducing the wings' efficiency and ballance. (in other words, increase the stall speed)
- Damage, icing - altered geometry means reduced efficiency and increased stall speed
- air pressure (altitude) - higher pressure mean higher air density at the same temperature. Higher altitude means lower air density and higher stall speed.