scholarly journals Characterisation of L0-boundedness for a general set of processes with no strictly positive element

Author(s):  
Dániel Ágoston Bálint
Keyword(s):  
2015 ◽  
Vol 62 (1) ◽  
pp. 1-22
Author(s):  
Ewa Okoń-Horodyńska ◽  
Anna Zachorowska-Mazurkiewicz

Abstract This paper deals with the attempt to search for the sources of creativity in the broad sense in solving problems. These creative solutions become innovations. The ability to develop innovation depends on the multi-dimensional predispositions to solve problems – those found in people, inspired by the market, organised or spontaneous, as well as facilitated or hampered by the state. Yet, the aforementioned factors should be supplemented with one more – gender. In the chapter attention is paid to the multi-dimensional differences stemming from gender, which should be perceived as a positive element, because they are the source of synergy resulting from collaboration among research or business teams in the process of innovation. The chapter introduces the concept of ‘innovative gender’ and its institutional framework. The methodological inspiration is the model known in the literature as the Innovation Genome, the conceptualization of which constitutes a major part of the study.


1993 ◽  
Vol 13 (9) ◽  
pp. 5206-5215 ◽  
Author(s):  
Y Kamachi ◽  
H Kondoh

Lens-specific expression of the delta 1-crystallin gene is governed by an enhancer in the third intron, and the 30-bp-long DC5 fragment was found to be responsible for eliciting the lens-specific activity. Mutational analysis of the DC5 fragment identified two contiguous, interdependent positive elements and a negative element which overlaps the 3'-located positive element. Previously identified ubiquitous factors delta EF1 bound to the negative element and repressed the enhancer activity in nonlens cells. Mutation and cotransfection analyses indicated the existence of an activator which counteracts the action of delta EF1 in lens cells, probably through binding site competition. We also found a group of nuclear factors, collectively called delta EF2, which bound to the 5'-located positive element. delta EF2a and -b were the major species in lens cells, whereas delta EF2c and -d predominated in nonlens cells. These delta EF2 proteins probably cooperate with factors bound to the 3'-located element in activation in lens cells and repression in nonlens cells. delta EF2 proteins also bound to a promoter sequence of the gamma F-crystallin gene, suggesting that delta EF2 proteins are involved in lens-specific regulation of various crystallin classes.


2014 ◽  
Vol 57 (1) ◽  
pp. 90-96
Author(s):  
Aldo J. Lazar

AbstractIf A is a σ-unital C*-algebra and a is a strictly positive element of A, then for every compact subset K of the complete regularization Glimm(A) of Prim(A) there exists α > 0 such that K ⊂ {G ∊ Glimm(A) | ||a + G|| ≥ α: This extends a result of J. Dauns to all σ-unital C*-algebras. However, there exist a C*-algebra A and a compact subset of Glimm(A) that is not contained in any set of the form {G ∊ Glimm(A) | ||a + G|| ≥}, a ∊ A and α > 0.


1978 ◽  
Vol 43 (1) ◽  
pp. 82-91 ◽  
Author(s):  
Michael F. Singer

In this paper, we show that the theory of ordered differential fields has a model completion. We also show that any real differential field, finitely generated over the rational numbers, is isomorphic to some field of real meromorphic functions. In the last section of this paper, we combine these two results and discuss the problem of deciding if a system of differential equations has real analytic solutions. The author wishes to thank G. Stengle for some stimulating and helpful conversations and for drawing our attention to fields of real meromorphic functions.§ 1. Real and ordered fields. A real field is a field in which −1 is not a sum of squares. An ordered field is a field F together with a binary relation < which totally orders F and satisfies the two properties: (1) If 0 < x and 0 < y then 0 < xy. (2) If x < y then, for all z in F, x + z < y + z. An element x of an ordered field is positive if x > 0. One can see that the square of any element is positive and that the sum of positive elements is positive. Since −1 is not positive, an ordered field is a real field. Conversely, given a real field F, it is known that one can define an ordering (not necessarily uniquely) on F [2, p. 274]. An ordered field F is a real closed field if: (1) every positive element is a square, and (2) every polynomial of odd degree with coefficients in F has a root in F. For example, the real numbers form a real closed field. Every ordered field can be embedded in a real closed field. It is also known that, in a real closed field K, polynomials satisfy the intermediate value property, i.e. if f(x) ∈ K[x] and a, b ∈ K, a < b, and f(a)f(b) < 0 then there is a c in K such that f(c) = 0.


1966 ◽  
Vol 62 (2) ◽  
pp. 149-164 ◽  
Author(s):  
D. B. Mcalister

Conrad ((2)), has shown that any lattice group which obeys (C.F.) each strictly positive element exceeds at most a finite number of pairwise orthogonal elements may be constructed, from a family of simply ordered groups, by carrying out, alternately, the operations of forming finite direct sums and lexico extensions, at most a countable number of times. The main result of this paper, Theorem 3.1, gives necessary and sufficient conditions for a multilattice group, which obeys (ℋ*), to be isomorphic to a multilattice group which is constructed from a family of almost ordered groups, by carrying out, alternately, the operations of forming arbitrary direct sums and lexico extensions, any number of times; we call such a group a lexico sum of the almost ordered groups.


Author(s):  
Olabanji Akinola ◽  
Mopelolade Oreoluwa Ogunbowale

The role of culture in development remains controversial in the literature. However, within the African context, both historically and in contemporary times, arguments vilifying culture remain rife. This continues a process of decentering culture from the discourse and practice of development on the continent. This chapter argues against this trend and calls for a recentering of culture as a positive element in the administration of development in Africa. Drawing on the Nigerian experience, the chapter provides some remedies for the country in particular and the rest of Africa in general. The chapter maintains that without bringing culture back into the practice of development on the continent, current developmental challenges are likely to persist into the future.


2021 ◽  
Vol 11 ◽  
Author(s):  
Mercè Mateu ◽  
Silvia Garcías ◽  
Luciana Spadafora ◽  
Ana Andrés ◽  
Eulàlia Febrer

Body expression and dance are activities that contribute to the integral well-being of people. In an educational context, the process of evaluating our students implies variations in their moods. This study tackles the states of mind that students perceive before and after the evaluation of a practice in the subject of Body expression and dance, developed through choreographies, that were, previously rehearsed, and later presented to the rest of the class in a specific session. Our main interest was the obtention of information on the states of mind of the students prior to the evaluation of their choreographies (cooperative task), and again once they had been performed. The study design consisted of two phases: two different choreographies separated by an interval of 2 months. The students were asked about their moods before and after performing their choreographies, which were evaluated. The participants, 167 in total, 35 women (20.5%) and 132 men (79.5%), aged 18 to 22 years old, filled out a POMS (Profile of Mood States) questionnaire, before and after the evaluation of each occasion. Differences were found in the stress-anxiety, vigor-activity, fatigue-immobility scales and the total mood score (PGMS). In all of them, except for the fatigue-immobility scale, we found a decrease in scores after the performance, compared to scores before. For the Stress-Anxiety factor, lower values were observed in the post-tests in comparison to the pre-tests, and also lower values in the pre- and post-test scores regarding the second choreography. We conclude that the practical evaluation of the subject through choreography modifies the mood states of the students, favoring their well-being after its execution, which is why evaluation through practice is considered a positive element in the educational process.


1978 ◽  
Vol 70 ◽  
pp. 167-172
Author(s):  
Masahiro Yasumoto

An ordered ring with the least positive element 1 is a “Z-ring” if for each natural number n,


1986 ◽  
Vol 6 (12) ◽  
pp. 4251-4258 ◽  
Author(s):  
S Kim ◽  
J Mellor ◽  
A J Kingsman ◽  
S M Kingsman

The TRP1 promoter generates two groups of mRNAs, transcript I and transcript II. The difference in size between the largest and smallest mRNAs is about 200 base pairs. A series of one-sided and internal deletions were constructed in vitro throughout the TRP1 promoter, and the effect of each deletion on transcription was assessed by Northern blotting. We showed that 395 base pairs of the TRP1 promoter were sufficient for the normal transcription of all RNAs and that the promoter contained two control domains. The control domain for transcript I consisted of one positive element and one negative element, while the control domain for transcript II contained two positive elements. The negative element, mapped between -293 and -318, expression of transcript I. Two regions of transcript I. Two regions (-280 to -236 and -235 to -209) were required for accurate initiation of transcript I. Each region contained sequences homologous to known consensus sequences of the TATA box.


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