The diagram lattice as structural principle A. New aspects for representations and group algebra of the symmetric group B. Definition of classification character, mixing character, statistical order, statistical disorder; A general principle for the time evolution of irreversible processes

1975 ◽  
Vol 38 (3) ◽  
pp. 167-183 ◽  
Author(s):  
Ernst Ruch
2021 ◽  
Vol 39 (15_suppl) ◽  
pp. e19502-e19502
Author(s):  
Jayant Narang ◽  
Christiana Caplan ◽  
Katarina Ludajic ◽  
Sambit Ray ◽  
Surabhi Bajpai ◽  
...  

e19502 Background: In trials with BTKi, lymphocytosis alone may not be a sign of progression but rather treatment related redistribution of lymphocytes from tissues into the peripheral blood (Cheson et al 2012). This observation was later incorporated in iwCLL 2018 criteria. However, no clear details were provided on how to assess lymphocytosis along with other parameters to derive an overall timepoint response (OTR) in a clinical trial setting. While PRL is a response category used to assess lymphocytosis in many clinical trials, it has not been defined in iwCLL 2018. Furthermore, iwCLL 2018 defines Absolute Lymphocyte Count (ALC) progression (PD) as an increase of ALC ≥ 50% compared to baseline whereas conventionally progression is defined in comparison to nadir, which may lead to under reporting of ALC PD. Methods: Data from multiple (8) phase II/III CLL trials with BTKi (frontline and relapsed/refractory setting), were retrospectively analyzed. Subjects with a post baseline (post-BL) timepoint (TP) were analyzed for the incidence of ALC PD and an OTR designation of PRL, PD and other non-PD assessments (Stable Disease (SD), Non-PD and Unknown (UNK)). Results: We identified 1976 subjects with a total of 17134 post BL TPs. There were 1182 TPs (6%) with ALC PD. Out of these TPs with ALC PD, 497 TPs had OTR of PRL (42% TPs with ALC PD), 365 TPs (31%) were assessed as non-PD and 320 (27%) TPs were assessed as PD. 104 TPs (33%) of subjects with OTR of PD had at least one additional parameter driving PD. Thus, ALC PD is a common occurrence with BTKi and in line with the Cheson 2012 guidance, ALC PD alone should not be considered as overall progression. We propose that initial ALC PD with BTKi should not be considered a sign of progression but rather a treatment effect and should be assessed as PRL. However, PRL should only be assessed if Partial Response (PR) is achieved in at least 2 other involved iwCLL group A parameters (nodes, liver or spleen) and 1 group B parameter (hemoglobin or platelets). An initial decrease/normalization of the ALC compared to baseline with a subsequent progression compared to nadir, may be considered true progression in a setting of continued BTKi. If only one other group A parameter is involved and is PR with associated ALC PD, SD may be a more appropriate overall response than PRL. Conclusions: ALC PD and PRL are common in BTKi, but there is a need for standardization of the definition of ALC PD and its role in determination of OTR of PRL. We propose that ALC PD should be assessed by comparing ALC with nadir and not baseline. If PRL is assigned only when PR is met by other criteria along with ALC PD, PRL could be a part of determining Overall response rate (ORR) in protocols. Future prospective studies are needed to estimate the true incidence of ALC PD and its impact on ORR with BTKi as well as other agents which induce lymphocytosis.


2005 ◽  
Vol 48 (3) ◽  
pp. 445-454 ◽  
Author(s):  
Frédéric Patras ◽  
Christophe Reutenauer ◽  
Manfred Schocker

AbstractThe orthogonal projection of the free associative algebra onto the free Lie algebra is afforded by an idempotent in the rational group algebra of the symmetric group Sn, in each homogenous degree n. We give various characterizations of this Lie idempotent and show that it is uniquely determined by a certain unit in the group algebra of Sn−1. The inverse of this unit, or, equivalently, the Gram matrix of the orthogonal projection, is described explicitly. We also show that the Garsia Lie idempotent is not constant on descent classes (in fact, not even on coplactic classes) in Sn.


Author(s):  
Lise Hesselager

There is no general agreement on the definition of the term ‘printed ephemera’. For the purpose of this article it is defined as (1) material issued by corporate bodies describing the current activities of those bodies and (2) material of small size. Owing to the legal deposit legislation of Scandinavian countries, dating back to the 17th century, these countries all have two or more national collections of ephemera. A distinction is made between ‘printed ephemera’ and ‘grey literature’, which is of recent date, and which developed as a result of modern society's need for speedy communication and developments in reprography. A half-library, half-archival system is appropriate for dealing with ephemera. The library tradition of splitting up material into subject groups may be combined with the archival system of arranging material according to provenance. Archival finding aids such as subject guides and indices and archival methods of collective description are appropriate as a general principle, but this should not exclude bibliographic records when such records are needed.


1964 ◽  
Vol 16 ◽  
pp. 191-203 ◽  
Author(s):  
G. de B. Robinson

The purpose of this paper is to clarify and sharpen the argument in the last two chapters of the author's Representation theory of the symmetric group(3). When these chapters were written the peculiar properties of the case p = 2 were not fully appreciated. No difficulty arises in the definition of the block in terms of the p-core, or in the application of the general modular theory based on the formula


1999 ◽  
Vol 37 (6) ◽  
pp. 1921-1926 ◽  
Author(s):  
Richard Frothingham ◽  
Percy L. Strickland ◽  
Gisela Bretzel ◽  
Srinivas Ramaswamy ◽  
James M. Musser ◽  
...  

The Mycobacterium tuberculosis complex includesM. tuberculosis, M. bovis, M. africanum, and M. microti. Most clinical isolates areM. tuberculosis or M. bovis. These species can be distinguished by phenotypes and genotypes. However, there is no simple definition of M. africanum, and some authors question the validity of this species. We analyzed 17 human isolates from Sierra Leone, identified as M. africanum by biochemical and growth characteristics. We sequenced polymorphic genes and intergenic regions. We amplified DNA from six loci with variable numbers of tandem repeats (VNTRs) and determined the exact number of repeats at each locus in each strain. All M. africanumisolates had the ancestral CTG Leu at katG codon 463. Drug-resistant M. africanum isolates had katGand rpoB mutations similar to those found in drug-resistantM. bovis and M. tuberculosis. Fourteen Sierra Leone M. africanum isolates (designated group A) hadkatG codon 203 ACC Thr, also found in M. africanum T (the T indicates type strain) from Senegal. Group A isolates clustered with M. africanum T by VNTR analysis. Three M. africanum isolates (group B) had katG codon 203 ACT Thr, found in M. tuberculosis T, and clustered with M. tuberculosis T by VNTR analysis. Phenotypic identification of M. africanumyielded a heterogeneous collection of strains. Genotypic analyses identified a cluster (M. africanum group A) which includedM. africanum T and was distinct from the rest of the M. tuberculosis complex. Future studies ofM. africanum should include both phenotypic and genotypic analyses.


2018 ◽  
Vol 114 ◽  
pp. 59-69
Author(s):  
Jolanta Blicharz

THE RELATIONSHIP BETWEEN THE PRINCIPLE OF EQUALITY AND THE PRINCIPLE OF SOCIAL JUSTICE IN THE POLISH CONSTITUTION AND THE JURISPRUDENCE OF THE CONSTITUTIONAL TRIBUNAL. AN ATTEMPT OF A GENERAL ANALYSISThe definition of a justice as the obligation of specificactions in relation to other persons from the point of view of equality results from the fact that by implementing of the principles of justice, it is realised the moral imperative of solidarity with people who are worse off , especially for reasons that are not caused by them. It follows the conclusion that the principle of equality before the law not only corrects, but also concretises the more general principle of social justice.


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