Add spaces: Theproblemofmomentsisthetheoryofaninfinitesystemofintegralequationsundervarioushypotheses.

Answer: The problem of moments is the theory of an infinite system of integral equations under various hypotheses.

Add spaces: TheyoungladiesoftheSiamesecourtdidtheonlysensiblethingtheycoulddotoprotectthemselvesfromanevileye;theypulledtheirgownskirtsupovertheirheadsandfledasbesttheycould.AnnadidnottellwhattheBritishambassador'sreactionwas.

Answer: The young ladies of the Siamese court did the only sensible thing they could do to protect themselves from an evil eye; they pulled their gown skirts up over their heads and fled as best they could. Anna did not tell what the British ambassador's reaction was.

Add spaces: Fortheanimalbynowithasbecomeavitalnecessitytokillinordertolive,theanimals'worldisaworldofkilling,andintheanimalkingdom,towhichtheearthlyhumansstillbelong,theyexperiencethepeakoftheunfoldingofthekillingprinciple,intheformofwar,violence,terrorandphysicalandspiritualcrisesandsufferingswhichwecallillnesses.

Answer:
For the animal by now it has become a vital necessity to kill in order to live, the animals' world is a world of killing, and in the animal kingdom, to which the earthly humans still belong, they experience the peak of the unfolding of the killing principle, in the form of war, violence, terror and physical and spiritual crises and sufferings which we call illnesses.