bluuebunny/crossref_metadata_2025_split huggingface dataset:
On manifolds with nonnegative Ricci curvature and the infimum of volume growth order < 2
Authors: Ye Zhu 
Published: October 2024

Abstract
We study open (complete and noncompact) n-manifolds M with nonnegative Ricci curvature, under the condition that any asymptotic cone of M splits off an

ℝ
k

{\mathbb{R}^{k}}

factor. In particular, we obtain two rigidity results for open n-manifolds M with

Ric
M

≥
0

{\mathrm{Ric}_{M}\geq 0}

and the infimum of volume growth order

<
2

{<2}

. The first result asserts that there exists a nonconstant linear growth harmonic function on M if and only if M is isometric to the metric product

ℝ
×
N

{\mathbb{R}\times N}

for some compact manifold N. The second asserts that the Riemannian universal cover of M has Euclidean volume growth if and only if M is flat with an

n
-
1

{n-1}

dimensional soul.
Composition of some positive linear integral operators
Authors: Acu Ana-Maria , Rasa Ioan , Sofonea Florin 
Published: October 2024

Abstract
This article is devoted to constructing sequences of integral operators with the same Voronovskaja formula as the generalized Baskakov operators, but having different behavior in other respects. For them, we investigate the eigenstructure, the inverses, and the corresponding Voronovskaja type formulas. A general result of Voronovskaja type for composition of operators is given and applied to the new operators. The asymptotic behavior of differences between the operators is investigated, and as an application, we obtain a formula involving Euler’s gamma function.
Involvement of three successive fractional derivatives in a system of pantograph equations and studying the existence solution and MLU stability
Authors: Hammad Hasanen A. , Işık Hüseyin , Aydi Hassen , Sen Manuel De la 
Published: October 2024

Abstract
Developing a model of fractional differential systems and studying the existence and stability of a solution is considebly one of the most important topics in the field of analysis. Therefore, this manuscript was dedicated to deriving a new type of fractional system that arises from the combination of three sequential fractional derivatives with fractional pantograph equations. Also, the fixed-point technique was used to evaluate the existence and uniqueness of solutions to the supposed hybrid model. Furthermore, stability results for the intended system in the sense of the Mittag-Leffler-Ulam have been investigated. Ultimately, an illustrative example has been highlighted in order to reinforce the theoretical results and suggest applications for this article.
Selling Jewish Victims’ Experiences During the Holocaust for Hard Currency: The Case of the Romanian Communists Compensation Claims Collection from 1970
Authors: Mihalcea Eugenia 
Published: October 2024

Abstract
In the 1970s, the Romanian authorities put together a large collection of compensation claim files of Romanian citizens victims of Nazi persecution between 1939 and 1945. The Romanian Communists’ scope was for a hard-currency settlement with the Federal Republic of Germany. In doing so, the Romanians claimed that the Federal Republic of Germany would pay for persecutions for which the Romanian state had been responsible. The selective denial of the Holocaust was the Communist authorities’ approach to the topic after the end of the Second World War. Especially after 1948, they carefully avoided tackling the issue of country’s own involvement in the persecution of its citizens, externalizing the blame on Nazi Germany. Additionally, in the official narrative the focus was on anti-Fascist resistance and Communists’ martyrdom during the Holocaust and not on Jewish sufferings. By analyzing different claim files part of the larger Romanian collection to be found in the Arolsen Archives I argue that Romanians’ plan of getting Germany’s money–and indirectly recognition of Germany’s responsibility for the Romanian authorities’ wrongdoings during the Holocaust – would have solidified the externalization of blame at international level on the long run.
Some properties of discrete classes of weights satisfying reverse Hölder inequality and reverse inequality for nonincreasing sequences
Authors: Abuelwafa Maryam M. , Rabie Safi S. , Agarwal Ravi P. , Saker Samir H. 
Published: October 2024

Abstract
In this paper, we prove some new discrete inequalities with weights of
Hardy’s type and employ them to establish some properties of discrete
weighted Gehring class of sequences satisfying reverse Hölder
inequality. We also consider the weighted class of sequences satisfying a
reverse inequality for nonincreasing sequences and prove some higher
summability theorems.
Existence of weak solutions for double phase fractional problems with variable exponents
Authors: Zuo Jiabin , da C. Sousa J. Vanterler 
Published: October 2024

Abstract
In this present paper, we are first of all interested in some continuity and compactness results for the space ψ-fractional

𝕊
𝒜

α
,
β
;
ψ

⁢

(
Λ
)

{\mathbb{S}^{\alpha,\beta;\psi}_{\mathcal{A}}(\Lambda)}

. In this sense, we investigate the existence of at least two solutions with constant signs using truncation arguments and comparison methods of a new class of fractional differential equations with

m
⁢

(
ξ
)

{m(\xi)}

-Laplacian with double phase.
Lie symmetries, exact solutions and conservation laws of (2+1)-dimensional time fractional cubic Schrödinger equation
Authors: Yu Jicheng , Feng Yuqiang 
Published: October 2024

Abstract
In this paper, Lie symmetry analysis method is applied to

(

2
+
1

)

{(2+1)}

-dimensional time fractional cubic Schrödinger equation. We obtain all the Lie symmetries and reduce the

(

2
+
1

)

{(2+1)}

-dimensional fractional partial differential equations with Riemann–Liouville fractional derivative to

(

1
+
1

)

(1+1)

-dimensional counterparts with Erdélyi–Kober fractional derivative. Then we obtain the power series solutions of the reduced equations and prove their convergence. In addition, the conservation laws for the governing model are constructed by the new conservation theorem and the generalization of Noether operators.
Orbit-blocking words and the average-case complexity of Whitehead’s problem in the free group of rank 2
Authors: Hyde Lucy , O’Connor Siobhan , Shpilrain Vladimir 
Published: October 2024

Abstract
Let

F
2

F_{2}

denote the free group of rank 2.
Our main technical result of independent interest is the following: for any element 𝑢 of

F
2

F_{2}

, there is some

g
∈

F
2

g\in F_{2}

such that no cyclically reduced image of 𝑢 under an automorphism of

F
2

F_{2}

contains 𝑔 as a subword.
We then address the computational complexity of the following version of the Whitehead automorphism problem: given a fixed

u
∈

F
2

u\in F_{2}

, decide, on an input

v
∈

F
2

v\in F_{2}

of length 𝑛, whether or not 𝑣 is an automorphic image of 𝑢.
We show that there is an algorithm that solves this problem and has constant (i.e., independent of 𝑛) average-case complexity.
Power vector inequalities for operator pairs in Hilbert spaces and their applications
Authors: Altwaijry Najla , Dragomir Silvestru Sever , Feki Kais 
Published: October 2024

Abstract
This study explores the power vector inequalities for a pair of operators

(

B
,
C

)

\left(B,C)

in a Hilbert space. By utilizing a Mitrinović-Pečarić-Fink-type inequality for inner products and norms, we derive various power vector inequalities. Specifically, we consider the cases where

(

B
,
C

)

\left(B,C)

is equal to

(

A
,

A

*

)

\left(A,{A}^{* })

or

(

Re

(

A

)

,

Im

(

A

)

)

(\hspace{0.1em}\text{Re}\hspace{0.1em}\left(A),\hspace{0.1em}\text{Im}\hspace{0.1em}\left(A))

for an operator

A

A

in

B

(

H

)

B\left(H)

, where

H

H

is a Hilbert space. This leads to the derivation of vector, norm, and numerical radius inequalities for a single operator. Furthermore, we obtain power inequalities for the

s

s

-

r

r

-norm and

s

s

-

r

r

-numerical radius of the operator pair

(

B
,
C

)

∈
B

(

H

)

\left(B,C)\in B\left(H)

, which generalizes the Euclidean norm and Euclidean numerical radius. Finally, we apply these results to derive the corresponding inequalities for a single operator

A
∈
B

(

H

)

A\in B\left(H)

.
Estimating pharmacokinetic parameters from Dynamic Contrast-Enhanced T
1-weighted MRI using a three level hierarchical Bayesian model
Authors: Bouchebbah Kahina , Zougab Nabil 
Published: October 2024

Abstract
Nowadays, Dynamic Contrast Enhanced MRI (DCE-MRI) is becoming the most widely explored technique in clinical practice for tumor assessment. In acquiring DCE-MRI, a contrast agent (CA), also called tracer, is injected into the blood flow before or during the acquisition of a time series of

T
1

{T_{1}}

-weighted images with fast imaging techniques. When the CA goes through the tissue, MR signal intensity measurements in voxels of the region of interest (ROI) are registered and used to calculate the CA concentration in each voxel. The Tofts models have become standard for the analysis of DCE-MRI and which express tissue CA concentration

C
⁢

(
t
)

{C(t)}

as function of time t. The analysis of quantitative parameters in DCE-MRI provides the quantitative criterion as a reference rather than relying only on the shape of the DCE-curve, as it is used for diagnosis of prostate cancer (PCa). This study aim to provide a new thinking in quantitative analysis which may therefore improve diagnostic accuracy for detection of prostate cancer and could be used in patient baseline prediction and guide management. A hierarchical Bayesian model was built to estimate the values of the four pharmacokinetic parameters (

K
trans

{K_{\mathrm{trans}}}

,

k
ep

{k_{\mathrm{ep}}}

,

υ
p

{\upsilon_{\mathrm{p}}}

,

υ
e

{\upsilon_{\mathrm{e}}}

) for both prostate healthy and lesion tissues in the peripheral zone. This estimation is important because it help to understand the behavior of the CA in the body and how this latter reacts to the CA in order to emphasize the expectation or the absence of prostate lesion during the diagnosis step.
The Growth of Food Aid in Sweden – How Demand and Supply are Transforming Charitable Organisations
Authors: Vamstad Johan , Leo Sandberg Elinn , Angelin Anna 
Published: October 2024

Abstract
The purpose of this article is to describe and analyse the growth in food aid in Sweden, and how it affects the non-profit organisations providing it. The particular type of food aid in focus is large-scale collaborations between charitable non-profit organisations and the food industry, through which food surplus is turned into food aid for people in food insecurity. The first examples of such food aid emerged less than 10 years ago in Sweden, but it has since experienced a dramatic growth. The development in Sweden follows a pattern known from many other European countries, with the exception that it is going faster, as if Sweden is catching up. This makes food aid in Sweden an interesting case for an empirical study. The article is based on an interview study performed in 2022. Staff and managers at two large, national organisations were interviewed about how the rapid growth in food aid has affected their work and the institutional logics of their organisations. They also provided their thoughts on the role of food aid in Swedish society. One of the main findings is that the growth in food aid bring both the benefit of more people in need receiving help, and the challenge of strain as well as concerns regarding ethics and mission drift in the organisations. Another finding is that the growth is driven by both a growth in demand for food aid, but also by a growth in supply of food from the charities and their corporate partnerships.
Upgraded one-dimensional code for the design of a micro gas turbine mixed flow compressor stage with various crossover diffuser configurations
Authors: van Eck Hano , van der Spuy Sybrand J. 
Published: October 2024

Abstract
Micro Gas Turbine (MGT) designers often have the need for a design tool, capable of rapidly providing feasible design options. The upgrade of such an existing MATLAB® based mixed flow compressor design application (1D App) is discussed. In MGT engines, diffuser design largely influences the compressor stage performance. Crossover diffusers provide superior efficiency and pressure ratio performance compared to legacy type diffusers, albeit at the expense of operating range. The reduced operating range attributed to single vane crossover diffusers can be alleviated by splitter vane, tandem vane, and combined configurations. Therefore, the 1D App is updated to allow the user the ability to design these additional crossover diffuser configurations. Performance results are verified using Numeca/FINE™ Turbo CFD software. It is shown that the upgraded 1D App provides predicted performance results within 1 % of CFD results for both total-to-total efficiency and pressure ratio.
Die Aushandlung von Versorgungsverläufen in der beruflichen Rehabilitation. Passungsverhältnisse von sozialstaatlichen Interventionen und Lebensentwürfen
Authors: Dreßke Stefan , Ohlbrecht Heike , Quehl Christoph 
Published: October 2024

Zusammenfassung
Der interaktionistisch-sozialkonstruktivistisch informierte Beitrag geht davon aus, dass sich die Verlaufsgestaltung der beruflichen Rehabilitation in Form von Aushandlungsprozessen vollzieht, in denen die Bedarfslagen der Rehabilitierenden mit den institutionellen Anforderungen und Zielvorstellungen vereinbart werden. Gegenstand der Aushandlungen sind Ansprüche der Rehabilitierenden an sozialstaatliche Leistungen, die in einem tentativen und iterativen Prozess formuliert werden und die Optimierungsinteressen unterliegen, die sich ebenfalls im Verlauf konstituieren. Rehabilitierende nehmen dabei institutionelle Zuweisungen und Klassifikationen in ihre Selbstsichten auf und richten ihre Lebensentwürfe zumindest teilweise danach aus. Sozialstaatlichen Klassifikations- und Sortierprozessen liegen demnach Übersetzungsleistungen aller Beteiligten zugrunde. Vorgestellt wird die Analyse von Versorgungsverläufen aus einer qualitativen Interviewstudie mit Rehabilitierenden und Mitarbeitenden in Berufsförderungswerken.
Cultural Moral Evolution: A Proposed Model and Application in a Review and Analysis of the Evolutionary Stages of Diverse Cultures and the Impact on the Emergence and Identification of LGBTQA+ Communities
Authors: Hamlin Jack B. , Hairston Jamir E. , Mendez Alejandro 
Published: October 2024

Abstract
The authors present a five-part initial examination of cultural moral evolution in several diverse cultures, looking specifically at attitudes towards LGBTQA+ communities and scrutinizing how societal attitudes shift from fear, animus, tolerance, and acceptance to integration. This evolution is gauged through various societal lenses, including laws, religion, human rights, and educational practices. In Part One, the authors discuss the concept of cultural moral evolution and how it differs from and shares some of the same traits as cultural anthropology. Part Two explores cultural moral evolution towards LGBTQA+ communities in three countries: Malaysia, the Netherlands, and Saudi Arabia. Part Three extends this analysis to four US states – Florida, Alaska, Hawaii, and Colorado. Part Four focuses on the US military, particularly the US Navy, analysing its cultural moral evolution towards the LGBTQA+ community. Finally, these observations are synthesized, with a summary of how the cultural moral evolution model is applied across different societal segments.
The Evolution of Same-Sex Marriage Case Law in Europe
Authors: Kużelewska Elżbieta , Michalczuk-Wlizło Marta , Žuber Bruna , Bedič Matevž , Boas Mariana Mesquita Vilas , Naia Luísa Ramos 
Published: October 2024

Abstract
The number of countries allowing same-sex marriage is gradually increasing. Currently, 37 countries have laws regulating same-sex marriages, specifying their status and/or the possibility of adopting children. These solutions counter discrimination against same-sex couples and are part of the protection of human rights. Against the background of other countries, the pan-European tendency to accept the institution of same-sex marriage is garnering positive attention, although it is still controversial in some countries. Regulations of European law and the case law of the Court of Justice of the European Union, the European Court of Human Rights and the constitutional courts, which play an essential role in anti-discrimination measures and are in favour of respecting human rights, provide crucial support. This article discusses the evolution of the jurisprudence of the ECtHR, the CJEU and the national courts of selected countries (Slovenia, Spain, Portugal, Germany and Austria) concerning same-sex marriage. It highlights how recognising the right to same-sex marriage does not come at the expense of the rights of others or the public interest.
Subjective Identity and the Right to be Forgotten: A Multifaceted Claim in the Legal System
Authors: Maceratini Arianna 
Published: October 2024

Abstract
In the complex relationship between individual identity and its claims for recognition and protection by the legal system, the right to be forgotten is crucial, because it addresses a personal, social and legal definition of the individual as authentically as possible and highlights the uniqueness of each identity, with changes experienced in the temporal dimension. The lack of distinction in real life between the physical world and the analogue context traces new spatial and temporal coordinates, able to profoundly redefine the traditional categories of identity and difference, as well as to modify the usual dynamics of personal and social inclusion and exclusion, submitting identity to a process of dismemberment that makes the individual a complex ‘informational organism’. The multiple connections between the right to be forgotten and the protection of personal identity are confirmed by the most recent developments of European legislation and, in particular, in Italian jurisprudence, which outlines it as an identity claim in order to obtain a correct representation of oneself, resulting in the guarantee offered by the legal system of reconfiguring one’s telematic image. This describes an evolving and comprehensive right capable of protecting the originality of the individual and his/her representation and relationships.
Between ‘Quo Vadis?’ and ‘Unde Venis?’ Identity and the Legal Order of Young Poles Living in Ireland
Authors: Urych Ilona , Smuniewski Cezary , Bado Błażej 
Published: October 2024

Abstract
The aim of the research presented here was to diagnose the personal and social identity of young Poles living in Ireland and attending Polish schools, and to analyse the relationship of this identity with selected elements of the legal order. The main research problems were formulated in the form of questions: (1) What characterises the personal identity of the adolescents surveyed? (2) What is the social identity of the respondents? (3) What is the relationship of the respondents’ personal and social identity to selected elements of the legal order? A diagnostic survey method, a survey technique and a research tool in the form of a survey questionnaire were used to realise the aim of the research and to answer the questions posed. The research was conducted among young Poles living in Ireland and attending Polish weekend schools (n=104). The analysis of the survey results shows that the identity of Polish young people is multifaceted and combines a strong sense of Polishness with living in Ireland. Key elements of identity include a sense of belonging to the Polish nation, their families and the larger European community, while recognising themselves as Irish residents. Furthermore, identity traits are shaped by place of birth, educational context and key elements of the legal order, such as adherence to the law and respect for human rights, highlighting their willingness to engage in socio-political life.
Transformation of the Constitutional Identity in South Africa aft er the Fall of Apartheid
Authors: Wawrzyński Patryk , Kawa Joanna Marszałek , Sithole Neo 
Published: October 2024

Abstract
This article investigates the designed transformation of South African political identity and its constitutional framework as a core aspect of the democratization of South Africa. It compares the racist and exclusive identity of the apartheid state with a redesigned identity of an inclusive and open ‘Rainbow Nation’, a concept coined by Archbishop Desmond Tutu and spearheaded by Nelson R. Mandela along with the African National Congress. The study considers changes in the legal framework of identity politics, from the Republic of South Africa Constitution Act of 1983 (and the previous apartheid republican Constitution of 1961) through the interim democratic Constitution of 1993 to the Constitution of the Republic of South Africa of 1996. It discusses the possible significance of the 18 amendments to the act regarding South Africans’ social and political identities, and establishes a complex and detailed portrayal of the republic’s legal framework of identity politics. The study combines legal, political, and cultural analysis of the role of law in formatting social and political identities, using survey results to test its impact on society. In conclusion, the paper considers the effects of post-apartheid identity transformation in South Africa.
Any and its ‘free choice’
Authors: Van der Auwera Johan 
Published: October 2024

Since Ladusaw (1979) the term ‘free choice indefinite’ is the generally accepted term for the meaning of any in primarily modal and generic sentences, such as Any owl hunts mice, but not for what is generally called the ‘polarity-sensitive’ or ‘negative polarity’ meaning, as in Did you take any? At least part of the inspiration for Ladusaw was Vendler (1967), but Vendler took a notion of ‘freedom of choice’ to characterize all uses of any. This paper has three goals: (i) to offer a critical survey, updating earlier ones by Horn (2000a, 2000b, 2005) of the question whether English any has one meaning – a univocal account – or two – an ambiguist account, with the two alleged meanings involving negative polarity, on the one hand, and free choice, on the other hand; (ii) to confirm, in agreement with much current work, that Vendler (1967) was right, and to suggest, in disagreement with most if not all current work, to make terminology reflect the insight and no longer restrict the term ‘free choice’ to just a few of the meanings of any; and (iii) to offer a new univocal approach of any, hypothesizing its meaning to contain the components ‘existence’ and ‘free choice’, and using the notion of ‘at-issueness’.