Scoring protocols are a broad class of voting systems. Each is defined by a vector (α1, α2, . . . , αm), α1 ≥ α2 ≥ · · · ≥ αm, of integers such that each voter contributes α1 points to his/her first choice, α2 points to his/her second choice, and so on, and any candidate receiving the most points is a winner. What is it about scoring-protocol election systems that makes some have the desirable ...

This paper provides a more accessible account of some of the material from Woodin [4] and [5]. All unattributed results are due to the first author. Recall that 0# is a certain set of natural numbers that codes an elementary embedding j : L → L such that j 6= id L. Jensen’s covering lemma says that if 0# does not exist and A is an uncountable set of ordinals, then there exists B ∈ L such that A...

McDonald et al (2005) investigated the Kraepelinian dichotomy of psychosis using brain imaging. They reported distinct grey matter volumetric deficits in patients with schizophrenia and those with psychotic bipolar I disorder but common white matter abnormalities in the two disorders. Kraepelin distinguished dementia praecox and manic–depressive psychosis on the basis of symptomatology, course ...

I want to share with you the usefulness and circumstances surrounding AJOr's May issue on work evaluat.ion. As ajunior occupational therapy student I was scheduled to give a panel presentation on prevocational training skills as part of a class requirement. However, another special event ~\'as scheduled which t.hankfully postponed my presentation until the following week. The extra time gave me...

We give necessary and sufficient conditions for uniform exponential dichotomy of evolution families in terms of the admissibility of the pair (Lp(R,X),Lq(R,X)). We show that the admissibility of the pair (Lp(R,X),Lq(R,X)) is equivalent to the uniform exponential dichotomy of an evolution family if and only if p ≥ q. As applications we obtain characterizations for uniform exponential dichotomy o...

The three dichotomies model, first proposed in Hunt (1976), restricts marketing science to the positive half of the positive-normative dichotomy. We argue that the "necessity challenge" of the positive-normative dichotomy in Robin (1977) stands, and that the positive half of the positive-normative dichotomy is virtually empty if all of the normative terms are removed. Thus marketing, as current...

McDonald et al (2005) investigated the Kraepelinian dichotomy of psychosis using brain imaging. They reported distinct grey matter volumetric deficits in patients with schizophrenia and those with psychotic bipolar I disorder but common white matter abnormalities in the two disorders. Kraepelin distinguished dementia praecox and manic–depressive psychosis on the basis of symptomatology, course ...

For a sequence of bounded linear operators {An}n=0 on a Banach space X , we investigate the characterization of exponential dichotomy of the difference equations vn+1 = Anvn. We characterize the exponential dichotomy of difference equations in terms of the existence of solutions to the equations vn+1 = Anvn + fn in lp spaces (1 ≤ p <∞). Then we apply the results to study the robustness of expon...

This paper is devoted to the investigation of the concept of (μ1, μ2)-dichotomy. More precisely, we prove that under suitable conditions on (μ1, μ2), this type of dichotomy has the roughness property with respect to small perturbations in L∞.