239,027 research outputs found

    Complete Solution of the Lady in the Lake Scenario

    Get PDF
    In the Lady in the Lake scenario, a mobile agent, L, is pitted against an agent, M, who is constrained to move along the perimeter of a circle. L is assumed to begin inside the circle and wishes to escape to the perimeter with some finite angular separation from M at the perimeter. This scenario has, in the past, been formulated as a zero-sum differential game wherein L seeks to maximize terminal separation and M seeks to minimize it. Its solution is well-known. However, there is a large portion of the state space for which the canonical solution does not yield a unique equilibrium strategy. This paper provides such a unique strategy by solving an auxiliary zero-sum differential game. In the auxiliary differential game, L seeks to reach a point opposite of M at a radius for which their maximum angular speeds are equal (i.e., the antipodal point). L wishes to minimize the time to reach this point while M wishes to maximize it. The solution of the auxiliary differential game is comprised of a Focal Line, a Universal Line, and their tributaries. The Focal Line tributaries\u27 equilibrium strategy for L is semi-analytic, while the Universal Line tributaries\u27 equilibrium strategy is obtained in closed form

    Complete Solution of the Lady in the Lake Scenario

    Full text link
    In the Lady in the Lake scenario, a mobile agent, L, is pitted against an agent, M, who is constrained to move along the perimeter of a circle. L is assumed to begin inside the circle and wishes to escape to the perimeter with some finite angular separation from M at the perimeter. This scenario has, in the past, been formulated as a zero-sum differential game wherein L seeks to maximize terminal separation and M seeks to minimize it. Its solution is well-known. However, there is a large portion of the state space for which the canonical solution does not yield a unique equilibrium strategy. This paper provides such a unique strategy by solving an auxiliary zero-sum differential game. In the auxiliary differential game, L seeks to reach a point opposite of M at a radius for which their maximum angular speeds are equal (i.e., the antipodal point). L wishes to minimize the time to reach this point while M wishes to maximize it. The solution of the auxiliary differential game is comprised of a Focal Line, a Universal Line, and their tributaries. The Focal Line tributaries' equilibrium strategy for L is semi-analytic, while the Universal Line tributaries' equilibrium strategy is obtained in closed form.Comment: 20 pages, 4 figure

    Density and Survival of Lady Beetles (Coccinellidae) in Overwintering Sites in Manitoba

    Get PDF
    The densities of lady beetles, Coccinellidae, overwintering as adults (adults per m2) in leaf litter collected in late October for two years in a beach-ridge forest on the south shore of Lake Manitoba were 56.4 for the Thirteen-spotted Lady Beetle, Hippodamia tredecimpunctata (Say), 38.3 for the Seven-spotted Lady Beetle, Coccinella septempunctata (L.), 7.7 for the Transverse Lady Beetle, Coccinella transversoguttata richardsonii Brown, 1.6 for the Convergent Lady Beetle, Hippodamia convergens Guerin, and 0.6 for the Parenthesis Lady Beetle, Hippodamia parenthesis (Say). The mean overwintering survival for these species was 0.254, 0.036, 0.023, 0.0, and 0.0, respectively. The density of overwintering coccinellids was highest near the margins of the forest, particularly on the beach side, where beetles from shore appear to have entered the forest. The mean density over 3 years (2.9 per m2) of all coccinellid species in November in the litter under a remnant grove of riverbank forest in Winnipeg, was lower than in the beach-ridge forest (104.8 per m2), but their survival (0.460) was higher than in the beach-ridge forest (0.154). More species of coccinellids were found in the samples from the riverbank forest than from the beach-ridge forest

    \u3ci\u3eMerlin\u27s Winter\u3c/i\u3e / \u3ci\u3eEurydice In The Real World\u3c/i\u3e / \u3ci\u3eWalking On Water\u3c/i\u3e

    Get PDF
    Merlin\u27s Winter: Your season is over now. The Lady of the Lake has closed her villas for the winter Eurydice In The Real World: Orpheus crept unseen into his afterlife through the early dark Walking On Water: Sunset bleeds across the sky, stains my fingers saffron and peaches

    The Identity of the Mysterious Portuguese Lady

    Get PDF
    UIDB/04097/2020 UIDP/04097/2020During the Shelley-Byron circle’s intertextual summer of 1816 in Geneva, Lord Byron’s physician, John William Polidori, kept a journal in which he described the group’s activities. Polidori’s autobiographical narrative as well as Claire Clairmont, Byron and Percy Shelley all mention a close friend of the doctor’s in Geneva, a Portuguese lady who has remained a mysterious presence until now. Based on research using Portuguese and Swiss sources, this article establishes that the Portuguese lady was Henriette Brélaz (née Lassence), the wife of Pierre Nicolas Brélaz, a Swiss trader born in Lisbon who lived in Genthod across the lake from Villa Diodati.publishersversionpublishe

    Otterbein Aegis January 1898

    Get PDF
    Contents: Editorial Etchings; Latin in Otterbein; Critique-The Lady of the Lake; Heredity; Mathematics in Otterbein; A Vacation Experience; The Concert Company; A Defense of the Dead Languages; Alumnal Notes; Locals, etc.https://digitalcommons.otterbein.edu/aegis/1069/thumbnail.jp

    Lady Pirates Third At PBC Women\u27s Golf Championships

    Get PDF
    Lady Pirates Third At PBC Women\u27s Golf Championships. The Armstrong Atlantic State women\u27s golf team fired a first-round 337 to sit in third place, just five strokes off the lead, after Monday\u27s action in the 2010 Peach Belt Conference Women\u27s Golf Championships at the Lake View course of Callaway Gardens
    • …
    corecore