Overlay Information Limitation

The intervals of the key overlay positions, the key overlay values, and the key values to be changed can be restricted by the user.

For these interval fields it’s valid out of safety reasons that if one of these fields isn’t selected i.e. hasn’t the focus, the field information is displayed as stars. If the field is selected, the contents of this field only is visible if the mouse pointer is located or moved in the central region of this field. If the mouse pointer slowly leaves the central region of this field, then the information is hidden. Regardless of that marked field parts are always visible.

The interval of key overlay positions fixes the positions overlay information has to refer to to be potentially significant for changing the key. Changes only take place at the positions of the position interval in principle.

The interval of key overlay values fixes the values of the overlay information potentially being relevant for changing the key.

The interval of key values to be changed fixes the values of the key information potentially being relevant for changing.

Only if the overlay position interval information, the overlay value interval information, and the key value interval information come true all together, an overlay information really takes to overlay a key position by a value given by this overlay information.

In general you have to observe that for all positions in the position interval in connection with an overlay information varying in any kind and being (nearly) infinitely long the following is valid:

As a result the key values of the key value interval are (almost) entirely transformed to overlay values of the overlay value interval.

If there are overlay values not belonging to the key value interval, the following more restricted rule is valid:

As a result all the key values are (almost) entirely transformed to overlay values of the overlay value interval which are not part of the key value interval (!).

The better an overlay information complies with these rules, all the more the named conclusions are valid. That must be taken into account to avoid trivial keys !

Given an initial key, an overlay information, and an overlay value interval, the following is valid in general:

Any key value interval covering this overlay value interval provides the same result key, if no key value being element of the key value interval but not being element of the overlay value interval is found in the initial key.