https://nova.newcastle.edu.au/vital/access/ /manager/Index en-au 5 On supportless convex sets https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13005 Wed 11 Apr 2018 17:03:15 AEST ]]> Computation and theory of extended Mordell-Tornheim-Witten sums https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:14096 Wed 11 Apr 2018 16:33:53 AEST ]]> Some cubic modular identities of Ramanujan https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13009 n2+nm+m2)³ = ([formula cannot be replicated] ωn-mqn²+nm+m²)³ + ([formula cannot be replicated] q(n+1/3)²+(n+1/3)(m+1/3)+(m+1/3)²)³. Here ω = exp(2π i/3). In this note we provide an elementary proof of this identity and of a related identity due to Ramanujan. We also indicate how to discover and prove such identities symbolically.]]> Wed 11 Apr 2018 15:27:13 AEST ]]> Closed forms: what they are and why we care https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:12970 Wed 11 Apr 2018 15:20:08 AEST ]]> Some modular identities of Ramanujan useful in approximating π https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13037 Wed 11 Apr 2018 14:54:35 AEST ]]> Ramanujan and Pi https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:12976 Wed 11 Apr 2018 14:52:58 AEST ]]> Banach spaces that admit support sets https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13003 Wed 11 Apr 2018 14:25:24 AEST ]]> Separable determination of integrability and minimality of the Clarke subdifferential mapping https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:12996 Wed 11 Apr 2018 14:03:41 AEST ]]> On the Bartle-Graves theorem https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:12983 Wed 11 Apr 2018 13:43:16 AEST ]]> Super efficiency in vector optimization https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13007 Wed 11 Apr 2018 13:42:16 AEST ]]> Lipschitz functions with maximal Clarke subdifferentials are generic https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:12997 Wed 11 Apr 2018 13:40:53 AEST ]]> A characterization of quasiconvex vector-valued functions https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:12984 n.]]> Wed 11 Apr 2018 13:33:40 AEST ]]> Epigraphical and uniform convergence of convex functions https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13002 Wed 11 Apr 2018 13:31:53 AEST ]]> On the continuity of biconjugate convex functions https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:12985 **, thus also answering a question raised by S. Simons. Related characterizations and examples are given.]]> Wed 11 Apr 2018 12:30:30 AEST ]]> Convergance of Madelung-like lattice sums https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13015 Wed 11 Apr 2018 12:30:01 AEST ]]> On the Hahn-Banach extension property https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13035 Wed 11 Apr 2018 12:09:01 AEST ]]> Second order differentiability of convex functions in Banach spaces https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13012 Wed 11 Apr 2018 11:34:45 AEST ]]> Completeness and the contraction principle https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13036 Wed 11 Apr 2018 10:45:36 AEST ]]> Necessary conditions for constrained optimization problems with semicontinuous and continuous data https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13014 Wed 11 Apr 2018 10:31:15 AEST ]]> The computation of previously inaccessible digits of π² and Catalan's constant https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13722 Wed 11 Apr 2018 09:55:47 AEST ]]> Automatic continuity and openness of convex relations https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13083 Wed 11 Apr 2018 09:33:13 AEST ]]> Distinct differentiable functions may share the same Clarke subdifferential at all points https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13021 Wed 11 Apr 2018 09:23:03 AEST ]]> On an intriguing integral and some series related to ζ (4) https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13011 Wed 11 Apr 2018 09:15:09 AEST ]]> The proximal normal formula in Banach space https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13084 Wed 11 Apr 2018 09:14:15 AEST ]]>