OST scholars in geography and related social sciences have recognized that the locational structure of man’s economic, political and cultural activities is not in a static state. Yet very little attempt has been made to conceptualize the manner by which the spatial arrangement of man’s establishments change over time. This study seeks to provide at least a partial solution for meeting this need...

and Applied Analysis 3 −λ (0, 0, rp) = − N 󵄨󵄨󵄨󵄨󵄨1 + r2 p󵄨󵄨󵄨󵄨󵄨3/2 (0, 0, rp) − (0, 0, 1 r2 p)M0 − ∑ 1≤i<p ( 1 󵄨󵄨󵄨󵄨󵄨ri − rp󵄨󵄨󵄨󵄨󵄨2 + 1 󵄨󵄨󵄨󵄨󵄨ri + rp󵄨󵄨󵄨󵄨󵄨2)Mi (0, 0, 1) − 1 󵄨󵄨󵄨󵄨󵄨2rp󵄨󵄨󵄨󵄨󵄨2Mp (0, 0, 1) . (11) In order to simplify the equations, we defined a0,j = −2/|1+r2 j |3/2, aj,j = −1/4r3 j , where j = 1, . . . , p; ai,j = (1/|ri − rj|2ri − 1/|ri + rj|2ri), when i < j; ai,j = −(1/|ri − rj|2ri + 1/...

Honduranuragen. n. and the type species H. centraliamericanasp. n. are described and illustrated. The new genus shows the characters of Sensillanurini Cassagnau, 1983 tribe and is distinguished by the fusion of cephalic and abdominal tubercles: clypeal with antennofrontal and dorsointernal with dorsoexternal on head; presence of fused tubercles on each side of abdominal segment V. Most of the t...

and Applied Analysis 3 Recently, Hampton and Santoprete 17 provided new examples of stacked spatial central configurations—central configurations for theN-body problemwhere a proper subset of the N bodies are already on a central configuration—for the 7-body problem where the bodies are arranged as concentric threeand two-dimensional simplex. New classes of stacked spatial central configuration...