We propose a method for computing the cohomology ring of three–dimensional (3D) digital binary–valued pictures. We obtain the cohomology ring of a 3D digital binary–valued picture I, via a simplicial complex K(I) topologically representing (up to isomorphisms of pictures) the picture I. The usefulness of a simplicial description of the “digital” cohomology ring of 3D digital binary– valued pict...

We estimate the role of benefits and peer effects in technology adoption using data from randomized distribution of menstrual cups in Nepal. Using individual randomization, we estimate causal effects of peer exposure on adoption; using differences in potential returns we estimate effects of benefits. We find both peers and value influence adoption. Using the fact that we observe both trial and ...

HiX and H X = ⊕ H iX. We refer to [Spa66] for the details and basic properties of these constructions, summarizing the most relevant facts below. One sacrifices some geometric intuition in working with cohomology instead of homology, but one gains the advantage of an easily defined ring structure. If σ ∈ CkX is a singular simplex, let fiσ ∈ CiX be the restriction of σ to the front i-face of the...

Glaucoma is the second leading cause of loss of vision in the world. Examining the head of optic nerve (cup-to-disc ratio) is very important for diagnosing glaucoma and for patient monitoring after diagnosis. Images of optic disc and optic cup are acquired by fundus camera as well as Optical Coherence Tomography. The optic disc and optic cup segmentation techniques are used to isolate the relev...

Substantial errors can be introduced to estimates of leaf resistance (r(l)) obtained from diffusion porometers unless precautions are taken to reduce the leaf-cup temperature difference (T(leaf) - T(cup)) to acceptable levels prior to measurement. When T(leaf) > T(cup), underestimation of leaf resistance occurs; the reverse applies when T(leaf) < T(cup).The effect is most pronounced under open-...

We extend the pseudoholomorphic curve methods from Floer theory to infinite-dimensional phase spaces and use our results prove existence of a forced time-periodic solution general Hamiltonian PDE with regularizing nonlinearity. In particular, when nonlinearity is sufficiently regularizing, bounded time-periodic, we an version Gromov-Floer compactness by using ideas Diophantine approximations ov...

Let p ≥ 3 be a prime. We consider the cyclotomic extension Z (p) [ζ p 2 ] | Z (p) , with galois group G = (Z/p 2) *. Since this extension is wildly ramified, the Z (p) G-module Z (p) [ζ p 2 ] is not projective. We calculate its cohomology ring H * (G, Z (p) [ζ p 2 ]; Z (p)), carrying the cup product induced by the ring structure of Z (p) [ζ p 2 ]. Formulated in a somewhat greater generality, ou...

We prove that the algebra of singular cochains on a smooth manifold, equipped with the cup product, is equivalent to the A∞ structure on the Lagrangian Floer cochain group associated to the zero section in the cotangent bundle. More generally, given a pair of smooth manifolds Q1 and Q2 of the same dimension with embeddings of a submanifold B with isomorphic normal bundles, we construct a differ...

In this note, we address the following question: Which 1-formal groups occur as fundamental groups of both quasi-Kähler manifolds and closed, connected, orientable 3-manifolds. We classify all such groups, at the level of Malcev completions, and compute their coranks. Dropping the assumption on realizability by 3-manifolds, we show that the corank equals the isotropy index of the cup-product ma...

Over the past several decades, we have made many efforts to understand Human-Computer Interaction (HCI). But beyond HCI, we need a better understanding of Human-Culture Interaction not just for taking part in the cultural context, but also for developing the interactive experience of users. Therefore we propose a general framework for cultural product experience that applies to the mental model...