global health 2035, the report of the lancet commission on investing in health, laid out a bold, highly ambitious framework for making rapid progress in improving global public health outcomes. it showed that with the right health investments, the international community could achieve a “grand convergence” in global health—a reduction in avertable infectious, maternal, and child deaths down to ...

Recently, F.Smarandache generalized the Atanassov’s intuitionistic fuzzy sets and other kinds of sets to neutrosophic sets. Also, this author de…ned the notion of neutrosophic topology on the non-standard interval. One can expect some relation between the intuitionistic fuzzy topology on an IFS and the neutrosophic topology. We show in this work that this is false.

Let $M$ and $N$ be two finitely generated graded modules over a standard graded Noetherian ring $R=bigoplus_{ngeq 0} R_n$. In this paper we show that if $R_{0}$ is semi-local of dimension $leq 2$ then, the set $hbox{Ass}_{R_{0}}Big(H^{i}_{R_{+}}(M,N)_{n}Big)$ is asymptotically stable for $nrightarrow -infty$ in some special cases. Also, we study the torsion-freeness of graded generalized local ...

Closing a Kurepa family under finite intersection yields a Kurepa family of the same cardinality, so we may assume N = {Nα : α ∈ μ} is closed under finite intersection. For each N ∈ N let m(N) = {α : Nα ⊂ N}. Since N is a Kurepa family, m(N) is a countable subset of μ. Also, m(N1 ∩N2) = m(N1) ∩m(N2) and so K = {m(N) : N ∈ N and m(N) is infinite} is a Kurepa family of cardinality no greater than...

The aim of this thesis is to contribute to close the gap existing between the theory of computable analysis and actual computation. In order to study computability over real numbers we use several tools peculiar to the theory of programming languages. In particular we introduce a special kind of typed lambda calculus as an appropriate formalism for describing computations on real numbers. Furth...

This paper explores the new and growing field of topological data analysis (TDA). TDA is a data analysis method that provides information about the ’shape’ of data. The paper describes what types of shapes TDA detects and why these shapes having meaning. Additionally, concepts from algebraic topology, the mathematics behind TDA, will be discussed. Specifically, the concepts of persistent homolo...

This paper studies continuity of the normal form and the context operators as functions in the infinitary lambda calculus. We consider the Scott topology on the cpo of the finite and infinite terms with the prefix relation. We prove that the only continuous parametric trees are Böhm and Lévy–Longo trees. We also prove a general statement: if the normal form function is continuous then so is the...

After Scott, mathematical models of the type-free lambda calculus are constructed by order theoretic methods and classiied into semantics according to the nature of their representable functions. Selinger 47] asked if there is a lambda theory that is not induced by any non-trivially partially ordered model (order-incompleteness problem). In terms of Alexandroo topology (the strongest topology w...