Premise:
"A certain unemployed mathematician from Afroasia worked out the Ligadul's Law, based on which, and after considering a maximum number of variation, one could calculate the so-called near future (counted in days, or at the very most in weeks, from the date of calculation)."
Hypothesis: The Ligadul's Law, based on which, and after considering a maximum number of variation, one could calculate the so-called near future (counted in days, or at the very most in weeks, from the date of calculation),was calculated by a certain unemployed mathematician from Afroasia worked out

yes

Premise:
"One can almost hear the appreciative chuckles from the spectators' gallery at this bit of repartee--the overreactive, tension-dispelling response that very mild witticisms tend to produce in solemn venues."
Hypothesis: The spectators loved the show.

yes

Premise:
"He consolidated power at Thebes during his short reign."
Hypothesis: He consolidated power at Thebes throughout his short lived reign.
yes