Permutations with limited repetitions

AbstractAn explicit formula in terms of Bell polynomials is derived for the number of r-permutations (called “variations, r at a time” in the older literature) with limited repetition, where each one of the n different things to be permuted may appear at most s times

Lance-Adams Syndrome

Lance-Adams syndrome (LAS) is a rare complication of successful cardiopulmonary resuscitation and is often accompanied by action myoclonus. LAS is seen in patients who have undergone a cardiorespiratory arrest, later regained consciousness, and then developed myoclonus days or weeks after the event. Less than 150 cases of LAS have been reported in the worldwide medical literature. Here, we present a 32-year-old man who suffered from myoclonus after hypoxic brain damage due to hanging himself. This case was diagnosed as Lance-Adams syndrome according to a history of hypoxic brain damage, the clinical features, and the neuroimages such as brain SPECT. Making an early diagnosis and properly managing LAS is positively related to improving the patient's functional outcome. If patients have posthypoxic myoclonus after successful cardiopulmonary resuscitation, we should consider the diagnosis of LAS and initiate a proper rehabilitation program

Complete graphs whose topological symmetry groups are polyhedral

We determine for which $m$, the complete graph $K_m$ has an embedding in $S^3$ whose topological symmetry group is isomorphic to one of the polyhedral groups: $A_4$, $A_5$, or $S_4$.Comment: 27 pages, 12 figures; v.2 and v.3 include minor revision

Near-Milne realization of scale-invariant fluctuations

A near-Milne Universe produces a very red spectrum of vacuum quantum fluctuations, but has the potential to produce near-scale invariant {\it thermal} fluctuations. This happens if the energy and entropy are mildly sub-extensive, for example if there is a Casimir contribution. Therefore, one does not need to invoke corrections to Einstein gravity (as in loop quantum cosmology) for a thermal scenario to be viable. Neither do we need the energy to scale like the area, as in scenarios where the thermal fluctuations are subject to a phase transition in the early Universe. Some odd features of this model are pointed out: whether they are fatal or merely unusual should be the subject of future investigations

Long-Term Effect of Sodium Oxybate (Xyrem) in Spasmodic Dysphonia with Vocal Tremor

Symptoms of spasmodic dysphonia (SD) are usually managed successfully with botulinum toxin injections. Vocal tremor (VT), which accompanies SD, has a poor response to this treatment. Case Report We report a case of a female with SD and VT who became symptom-free for 10 months after the intake of a single dose of sodium oxybate (Xyrem). The long-term treatment effect correlated with attenuated brain activity in the key regions of dystonic brain network. Discussion Our case demonstrates that the novel treatment of sodium oxybate may hold promise for SD patients, especially those who have associated VT

Reply to: Hemichorea Associated with CASPR2 Antibody

This letter was written in reply to this letter to the editor: Vynogradova I, Savitski V, Heckmann JG. Hemichorea associated with CASPR2 antibody. Tremor Other Hyperkinet Mov. 2014; 4. doi: 10.7916/D8VM49C5 The above letter to the editor was written in response to this article: Ramdhani RA, Frucht SJ. Isolated Chorea Associated with LGI1 Antibody. Tremor Other Hyperkinet Mov. 2014; 4. doi: 10.7916/D8MG7MF

Increasing Evidence for the Use of Sodium Oxybate in Multi-Drug- Resistant Lance–Adams Syndrome

Background: Treatment of posthypoxic myoclonus (PHM) can be a challenge in patients not responsive to first-line medications. PMH is a rare condition that has a dramatic impact on patients’ quality of life. Refractory cases are not uncommon. Case Report: We report a patient with PHM non-responsive to conventional treatments who showed a dramatic improvement with sodium oxybate (SBX). Cases of PHM treated with SBX reported in the literature were reviewed. Discussion: Resting and stimulus-induced myoclonus respond robustly to SBX, with significant improvement in patients’ quality of life. SBX may be considered in patients with PHM resistant to first-line medications

Intention tremor in essential tremor : prevalence and association with disease duration

Scholarly attention only recently has been focused on intention tremor (IT) in essential tremor (ET).1, 2 Therefore, little has been written on its prevalence or clinical correlates. The association between IT and disease duration also remains unsettled. This question has pathophysiological implications. Studies have indicated metabolic and structural changes in the ET cerebellum.3, 4 If ET were a disease of progressive cerebellar dysregulation, one would expect more IT in patients with disease of longer duration. We assessed the prevalence and clinical correlates of IT and determined whether there was an association between IT and disease duration

Automorphism groups of countable algebraically closed graphs and endomorphisms of the random graph

We establish links between countable algebraically closed graphs and the endomorphisms of the countable universal graph $R$. As a consequence we show that, for any countable graph $\Gamma$, there are uncountably many maximal subgroups of the endomorphism monoid of $R$ isomorphic to the automorphism group of $\Gamma$. Further structural information about End $R$ is established including that Aut $\Gamma$ arises in uncountably many ways as a Sch\"{u}tzenberger group. Similar results are proved for the countable universal directed graph and the countable universal bipartite graph.Comment: Minor revision following referee's comments. 27 pages, 3 figure