Thanks OD, that is something I never knew before.It is only for melee weapon damage that minimum weapon damage >= maximum weapon damage results in maximum weapon damage = minimum weapon damage +1. Note that the character screen incorrectly applies this condition to final damage when it only applies to weapon damage: if you equip a Dagger with 1-5 base damage, add 49 Minimum Damage and apply +900% off-weapon Enhanced Damage, the character screen displays 500-501 damage but 500-510 damage (based on 50-51 weapon damage) is actually applied.
The character also incorrectly applies this condition to missile damage: if you equip a Javelin with 6-14 base throw damage, add 44 Minimum Damage and apply +900% off-weapon ED, the character screen once again displays 500-501 damage but 500-140 damage (based on 50-14 weapon damage) is actually applied. In this case, when minimum damage > maximum damage the minimum becomes the maximum and the maximum becomes the minimum, so 14-50 weapon damage results in 140-500 damage.
The character screen displays 501-502 damage but 500-510 physical and 1-40 lightning damage is actually applied, for a total of 501-550 damage (to targets with no Resist %).Expanding on ODs example with the dagger:
Same situation, but add 1-40 lightning damage. LCS will show 501-502 damage.