The Moore spectrum Mp(i) is the cofiber of pi map on sphere spectrum. For a fixed p and n, we find lower bound i for which guaranteed to be n-fold associative. This depends stable homotopy groups spheres.

This article contextualizes the films of Michael Moore in tradition American populism. Extending particular from historian Thomas Frank’s argument People without Power that populism can usefully be understood as a leftism, traces how three Moore’s films—Roger & Me (1989), Sicko (2007), and Capitalism: A Love Story (2009)—articulate political concerns overlap with beliefs The also explor...

Assuming the axiom of constructibility, points in closed discrete subspaces of certain normal spaces can be simultaneously separated. This is a partial result towards the normal Moore space conjecture. The normal Moore space conjecture states that every normal Moore space is metrizable. This is known to be not provable from the usual axioms of set theory, since Silver [4] shows that Martin's ax...

Recently, Gaiotto-Moore-Neitzke [6] proposed a new construction of hyperkähler metrics. In particular, they gave a new construction of the OoguriVafa metric, from which one came across certain formulas, which we interpret as wall-crossing formulas that appear in Auroux’s construction [1], [2] of instantoncorrected mirror manifolds. This shows that the Ooguri-Vafa metric is closely related to th...

We derive the asymptotic signal-to-interference ratio (SIR) of the decorrelator in the large system limit, both for the case in which the number of users exceeds the spreading gain and for the case in which the number of users is less than the spreading gain. We show that, contrary to what is claimed in [1], [2], when the number of users exceeds the spreading gain and the decorrelator is define...

In any spatially discrete model of pedestrian motion which uses a regular lattice as basis, there is the question of how the symmetry between the different directions of motion can be restored as far as possible but with limited computational effort. This question is equivalent to the question " How important is the orientation of the axis of discretization for the result of the sim-ulation? " ...

he tremendous growth in semiconductor technology has been based on the well-behaved Si−SiO2 system. In 1965, Gordon Moore, cofounder of Intel and arguably APL’s most famous alumnus, saw the future. His prediction, now popularly known as Moore’s Law, states that the number of transistors on a chip doubles approximately every 2 years. Up until now this “law” has been followed by evolutionary prog...

Carl Richard Moore studied sex hormones [3] in animals in the US from 1916 until his death in 1955. Moore focused on the role of hormones [4] on sex differentiation [5] in animals, the optimal conditions under which males produce sperm [6], and the effects of vasectomy or testicular implants on male sex hormone [7] production. Moore's experiments to create hermaphrodites in the laboratory contr...