Summary. Let (Sn)n≥0 be a random walk on R; under quite large assumptions on its law µ we describe its oscillations and study several ways to condition it to stay nonnegative. Namely, we can first consider the condition that Sk ≥ 0 up to time n

Page 1 of 74. The Ascent. of Man. - Rex M Heyworth PhD. From running around the African savannah using rock/stone tools, to driving a. “rover” on the moon to ...

Thus, all statements about God can only refer to His attributes as embodied by His Manifestation. (Mazhar-i-Iláhí) or ... manifest) but they are unable to claim any independent existence for themselves before the throne of God .... become illumined

water, who sigh, and make it bubble on the surface, as your eye can see whichever way it turns. Fixed in the slime they say: “We ... this I saw the muddy people make such a rending of him, that I still give. God thanks and praise for it. All shoute

angelic voice, in her language: 'O noble Mantuan spirit, whose fame still ... wishes further. But tell me why you do not hesitate to descend here, to this centre below, from the wide space you burn to return to.' She replied: 'Since you wish to know,