The notions of decoupling zeros of positive discrete-time linear systems are introduced. The relationships between the decoupling zeros of standard and positive discrete-time linear systems are analyzed. It is shown that: 1) if the positive system has decoupling zeros then the corresponding standard system has also decoupling zeros, 2) the positive system may not have decoupling zeros when the ...

This paper draws on a single longitudinal case study of Trend Micro, a leading anti-virus company, to examine its entrepreneurial, value-creating trajectory. Applying and extending an entrepreneurship perspective, the paper manifests positive effect, rather than negative effect, of environmental jolt on entrepreneurial actions including opportunity identification and opportunity exploitation. W...

Anti-slug control applied to two-phase flow provides a very challenging and important application for feedback control. It is important because it allows for operation that would otherwise be impossible, and challenging because of the presence of both RHP-poles and RHP-zeros. To conduct experiments on pipeline-riser anti-slug control, a small-scale slug-loop has been build. The loop has been mo...

We study a subtle inequity in the distribution of unnormalized differences between imaginary parts of zeros of the Riemann zeta function, which was observed by a number of authors. We establish a precise measure which explains the phenomenon, that the location of each Riemann zero is encoded in the distribution of large Riemann zeros. We also extend these results to zeros of more general L-func...

In 1964 A. Garsia gave a stunningly brief proof of a useful maximal inequality of E. Hopf. The proof has become a textbook standard, but the inequality and its proof are widely regarded as mysterious. Here we suggest a straightforward first step analysis that may dispel some of the mystery. The development requires little more than the notion of a random variable, and, the inequality may be int...

Suppose that you are at a live jazz show. The drummer begins a solo. You see the cymbal jolt and you hear the clang. But in addition seeing the cymbal jolt and hearing the clang, you are also aware that the jolt and the clang are part of the same event. Casey O'Callaghan (forthcoming) calls this awareness "intermodal feature binding awareness." Psychologists have long assumed that multimodal pe...

— We classify Veech groups of tame non-compact flat surfaces. In particular we prove that all countable subgroups of GL+(2, R) avoiding the set of mappings of norm less than 1 appear as Veech groups of tame non-compact flat surfaces which are Loch Ness monsters. Conversely, a Veech group of any tame flat surface is either countable, or one of three specific types. Résumé. — Nous classifions les...

This paper presents a high-speed method for computing elementary functions using parallel table lookups and multi-operand addition. Increasing the number of tables and inputs to the multi-operand adder significantly reduces the amount of memory required. Symmetry and leading zeros in the table coefficients are used to reduce the amount of memory even further. This method has a closed-form solut...

Graph games with an annihilation rule, as introduced by Conway, Fraenkel and Yesha, are studied under the midre play rule for progressively finite graphs that satisfy a condition on the reversibility of non-terminal Sprague-Grundy zeros to Spragu+Grundy ones. Two general theorems on the Spragu+Grundy zeros and ones are given, followed by two theorems characterizing the set of P-positions under ...

We present some uniqueness (non-fattening) results for the motion by mean curvature perturbed by stochastic noise. It is well known that for special initial data, the deterministic motion has multiple solutions, i.e., it develops interior. Our result for a particular evolution of curves in R2 illustrates that stochastic perturbations can select a unique solution in a natural way. The noise we u...