bluuebunny/crossref_metadata_2025_split huggingface dataset:
Identification Features in Forensic Examination of Text Borrowing
Authors: Novozhilova Elena 
Published: January 2024

In the article, within the framework of the theory of criminalistic identification, based on works of the well-known criminalist scientist Prof. Valentin Koldin (1925–2020), we consider the features that a forensic expert works with when detecting textual borrowings (copy-paste and plagiarism).
An optimal classification of identification features put into six groups is proposed: text coincidence at character level, misprints, punctuation errors, grammatical errors, speech and logical errors, and other speech features. The author suggests using the term "errative method" in the examination of borrowings and considers identification features in terms of their suitability for research – specificity, manifestation, and stability.
At the same time, the differences between the examination of text borrowings and the traditional forensic authorship examination are emphasized: different identifiable objects (text and person, respectively), different properties of these objects, and, consequently, different features. The author analyzes the classifications of identification features represented in the most important scientific and methodological manuals on forensic authorship examination (in Russian), compares these classifications with the one given in the article, and concludes about the fundamental differences of the feature complexes.
The article concludes that the proposed set of features provides a significant identification redundancy of the material – in contrast to both traditional authorship examination and, in general, to the majority of forensic enquiries. This redundancy allows the expert to make a reliable conclusion about the non-randomness of the coincidence of features, that is, about the identity of the borrowed text.
How is the Wine Consumers Behavior Changing After Pandemic: A Descriptive Analysis of the Chinese Wine Market
Authors: Zhang Ruixin , Gardiner Paul 
Published: January 2024

The COVID-19 pandemic had a substantial impact on the global wine industry, leading to dramatic changes in consumer behavior as well. Although the pandemic has significantly impeded the global economy, international trade, and social development, it has given an impetus to the process of digitalization, digital market has been growing prosperity, especially in China, a country as the bellwether in digitalization. The China wine market is one of the most potential markets in the world, Per capita expenditure of wine in China has increased quite significantly after 2021, compared to the Asia Pacific and global levels. Therefore, understanding how the changes in the Chinese wine consumer occurred after the pandemic will help wineries better enter the Chinese market and develop a digital marketing strategy. After the United Nations proposed the 17 Sustainable Development Goals in 2015, sustainability has become a primary theme of the world's concern. Therefore, the wine industry has also regarded sustainability as its primary goal. Digital transformation is an inevitable trend that foreign wineries have to face, which is also in conformity with the SDG targets. This paper aims to provide an in-depth understanding of the wine consumer behaviors’ existing circumstances after the pandemic through an exhaustive descriptive analysis, which helps foreign wineries lay down a new business strategy and realize digital transformation in the Chinese wine market.
Impact of ICT Training on Junior High School Teachers' Performance in Teaching Mathematics in Tamale Metropolis
Authors: Iddrisu Bariham , Abdul Wadudu Mohammed , Awolu Fusheini 
Published: January 2024

This study employed a quasi-experimental research design to examine the influence of ICT training on the proficiency of mathematics educators after receiving instruction on incorporating Computer Aided Instruction (CAI) into their teaching and learning practices. The study also probed to determine if differences exist in the academic achievement of JHS students who were taught mathematics with CAI and those taught with Traditional Method of Instruction (TMI). Ten JHSs were randomly sampled where five schools served as experimental group and the remaining five as control group. Mathematics Achievement Test (MAT), Classroom Observation Schedules (COS), and questionnaires were employed to collect the data from teachers and students. Using SPSS version 20, the data was analyzed and presented in tables and graphs. The study's findings demonstrated a noteworthy enhancement in the proficiency of both teachers and students in mathematics subsequent to the ICT training. It was also discovered that ICT training had a statistically significant effect on the mathematics performance of both teachers and pupils, leading to a good conclusion. Lastly, teachers in the study area encountered obstacles such as a scarcity of ICT laboratories, the nonexistence of internet connectivity, and insufficient ICT resources. The study recommends the establishment of regional centers to train mathematics teachers on how to teach with ICT, supply laptops and computers to JHSs using the PPP model, and equip JHSs with digital content to support teaching and learning with technology.
Podatek od bogactwa w USA: propozycje polityczno-prawne i spory o jego zgodność z Konstytucją
Authors: Wojciechowski Karol 
Published: January 2024

Celem artykułu jest prześledzenie najgłośniejszych w USA propozycji federalnego podatku od bogactwa (wealth tax), a także sporów dotyczących zgodności takiego podatku z amerykańską Konstytucją. Posługując się metodą historyczno-opisową oraz porównawczą, autor analizuje relewantną amerykańską literaturę przedmiotu oraz orzecznictwo Sądu Najwyższego USA, w tym liczne opinie na temat konstytucyjnej klauzuli o „podatkach bezpośrednich”, między innymi ojców założycieli. Jak wynika z przeprowadzonych badań, propozycje podatku od bogactwa, tj. od wartości netto majątku powyżej określonej wartości, są czymś względnie nowym w historii USA. Jak się wydaje, szczególnym tego powodem jest fakt mocno przyspieszonego od lat osiemdziesiątych wzrostu nierówności dochodowych – a co za tym idzie: majątkowych. Koncepcje podatku od bogactwa pojawiają się bowiem zarówno w środowiskach akademickich, jak i wśród polityków – co świadczy o dużej skali problemu nierówności. Zwolennicy podatku wskazują między innymi, że nadmierna koncentracja majątkowa i wynikające z niej nierówności są szkodliwe tak z punktu widzenia polityczno-prawnego, jak i ekonomicznego. Wokół propozycji podatku od bogactwa istnieje jednak wiele wątpliwości. Przede wszystkim w odniesieniu do tego, czy podatek od bogactwa wchodzi w zakres konstytucyjnej klauzuli o „podatkach bezpośrednich”, a zatem czy podlega konieczności „rozdzielenia” jego wysokości pomiędzy stany proporcjonalnie do liczby ich mieszkańców, co znacznie utrudniłoby przyjęcie takiego podatku, a być może wręcz uniemożliwiłoby.
The 2+1-convex hull of a~finite set
Authors: Angulo Pablo , García-Gutiérrez Carlos 
Published: January 2024

Abstract
Rank-one convexity is a weak form of convexity related to convex integration and the elusive notion of quasiconvexity, but more amenable both in theory and practice.
However, exact algorithms for computing the rank one convex hull of a finite set are only known for some special cases of separate convexity with a finite number of directions. Both inner approximations either with laminates or

T
4

{T_{4}}

’s and outer approximations through polyconvexity are known to be insufficient in general.
We study

ℝ
2

⊕
ℝ

{\mathbb{R}^{2}\oplus\mathbb{R}}

-separately convex hulls of finite sets, which is a special case of rank-one convexity with infinitely many directions in which

T
4

{T_{4}}

’s are known not to capture the rank one convex hull. When

ℝ
3

{\mathbb{R}^{3}}

is identified with a subset of

2
×
3

{2\times 3}

matrices, it is known to correspond also to quasiconvexity.
We propose new inner and outer approximations built upon systematic use of known results, and prove that they agree. The inner approximation allows to understand better the structure of the rank one convex hull. The outer approximation gives rise to a computational algorithm which, in some cases, computes the hull exactly, and in general builds a sequence that converges to the hull.
We use and systematize all previous attempts at computing D-convex hulls, and bring new ideas that may help compute general D-convex hulls.
Some properties of Ψ-gamma, Ψ-beta and Ψ-hypergeometric matrix functions
Authors: Verma Ashish , Yadav Komal Singh , Sharan Bhagwat , Suthar D. L. 
Published: January 2024

Abstract
In this paper, we investigate the matrix analogues of the Ψ-beta and Ψ-gamma functions, as well as their properties. With the help of the Ψ-beta matrix function (BMF), we introduce the Ψ-Gauss hypergeometric matrix function (GHMF) and the Ψ-Kummer hypergeometric matrix function (KHMF) and derive certain properties for these matrix functions. Finally, the Ψ-Appell and the Ψ-Lauricella matrix functions are defined by applications of the Ψ-BMF, and their integral representations are also given.
Characterization of lacunary ℐ-convergent sequences in credibility space
Authors: Das Mousami , Kişi Ömer , Tripathy Binod Chandra , Das Birojit 
Published: January 2024

Abstract
This research paper aims to introduce the concept of lacunary ideal Cauchy sequences of fuzzy variables in a credibility space.
We establish the interrelationships between this notion with lacunary ideal convergent sequences in the same structure from several aspects of
credibility. Furthermore, we explore the concepts of strongly lacunary Cauchy, strongly

ℐ

{\mathcal{I}}

-lacunary Cauchy, and strongly

ℐ
∗

{\mathcal{I}^{\ast}}

-lacunary Cauchy sequences of fuzzy variables within the context of credibility. We also examine the interconnections between these concepts and analyze their relationships.
Adaptive Image Compression via Optimal Mesh Refinement
Authors: Feischl Michael , Hackl Hubert 
Published: January 2024

AbstractThe JPEG algorithm is a defacto standard for image compression. We investigate whether adaptive mesh refinement can be used to optimize the compression ratio and propose a new adaptive image compression algorithm. We prove that it produces a quasi-optimal subdivision grid for a given error norm with high probability. This subdivision can be stored with very little overhead and thus leads to an efficient compression algorithm. We demonstrate experimentally, that the new algorithm can achieve better compression ratios than standard JPEG compression with no visible loss of quality on many images. The mathematical core of this work shows that Binev’s optimal tree approximation algorithm is applicable to image compression with high probability, when we assume small additive Gaussian noise on the pixels of the image.
An Optimal Method for High-Order Mixed Derivatives of Bivariate Functions
Authors: Semenova Evgeniya V. , Solodky Sergiy G. 
Published: January 2024

Abstract
The problem of optimal recovering high-order mixed derivatives of bivariate functions with finite
smoothness is studied. Based on the truncation method, an algorithm for numerical differentiation is
constructed, which is order-optimal both in the sense of accuracy and in terms of the amount of involved Galerkin
information. Numerical examples are provided to illustrate the fact that our approach can be implemented
successfully.
Erratum to The level four braid group (J. reine angew. Math. 735 (2018), 249–264))
Authors: Brendle Tara E. , Margalit Dan 
Published: January 2024

Abstract
The proof
of the first statement of Theorem 5.1 of the paper referenced in the title is correct for

k
=
1

{k=1}

and incorrect for

k
≥
2

{k\geq 2}

and should be considered an open problem. As such, the proof of the second statement is not correct for

k
≥
2

{k\geq 2}

.
The globally smooth solutions and asymptotic behavior of the nonlinear wave equations in dimension one with multiple speeds
Authors: Wei Changhua 
Published: January 2024

Abstract
We are interested in the one-dimensional nonlinear wave equations with multiple wave speeds by the energy method.
By choosing different multipliers corresponding to the different wave speeds, we show that the one-dimensional nonlinear wave equations also have globally smooth solutions provided that the nonlinearities satisfy certain structural conditions when the initial data are small. Furthermore, we can prove that the global solutions will converge to the solutions of the linearized system based on the decay properties of the nonlinearities.
A fixed point theorem for isometries on a metric space
Authors: Wiśnicki Andrzej 
Published: January 2024

Abstract
We show that if X is a complete metric space with uniform relative normal
structure and G is a subgroup of the isometry group of X with bounded
orbits, then there is a point in X fixed by every isometry in G. As a
corollary, we obtain a theorem of U. Lang (2013) concerning injective metric
spaces. A few applications of this theorem are given to the problems of
inner derivations. In particular, we show that if

L
1

⁢

(
μ
)

{L_{1}(\mu)}

is an
essential Banach

L
1

⁢

(
G
)

{L_{1}(G)}

-bimodule, then any continuous derivation

δ
:

L
1

⁢

(
G
)

→

L
∞

⁢

(
μ
)

{\delta:L_{1}(G)\rightarrow L_{\infty}(\mu)}

is inner. This extends a theorem of
B. E. Johnson (1991) asserting that the convolution algebra

L
1

⁢

(
G
)

{L_{1}(G)}

is
weakly amenable if G is a locally compact group.
Enochs’ conjecture for cotorsion pairs and more
Authors: Bazzoni Silvana , Šaroch Jan 
Published: January 2024

Abstract
Enochs’ conjecture asserts that each covering class of modules (over any ring) has to be closed under direct limits. Although various special cases of the conjecture have been verified, the conjecture remains open in its full generality. In this paper, we prove the conjecture for the classes

Filt
⁡

(
𝒮
)

{\operatorname{Filt}(\mathcal{S})}

, where

𝒮

{\mathcal{S}}

consists of

ℵ
n

{\aleph_{n}}

-presented modules for some fixed

n
<
ω

{n<\omega}

. In particular, this applies to the left-hand class of any cotorsion pair generated by a class of

ℵ
n

{\aleph_{n}}

-presented modules.
Moreover, we also show that it is consistent with ZFC that Enochs’ conjecture holds for all classes of the form

Filt
⁡

(
𝒮
)

{\operatorname{Filt}(\mathcal{S})}

, where

𝒮

{\mathcal{S}}

is a set of modules. This leaves us with no explicit example of a covering class where we cannot prove that Enochs’ conjecture holds (possibly under some additional set-theoretic assumption).
Donoho–Stark and Price uncertainty principles for a class of q-integral transforms with bounded kernels
Authors: Castro Luis P. , Guerra Rita C. 
Published: January 2024

Abstract
We consider a very global q-integral transform, essentially characterized by having a bounded kernel and satisfying a set of natural and useful properties for the realization of applications. The main ambition of this work is to seek conditions that guarantee uncertainty principles of the Donoho–Stark type for that class of q-integral transforms. It should be noted that the global character of the q-integral transform in question allows one to immediately deduce corresponding Donoho–Stark uncertainty principles for q-integral operators that are its particular cases. These particular cases are very well-known operators, namely: a q-cosine-Fourier transform, a q-sine-Fourier transform, a q-Fourier transform, a q-Bessel–Fourier transform and a q-Dunkl transform.
Moreover, generalizations of the local uncertainty principle of Price for the q-cosine-Fourier transform, q-sine-Fourier transform, q-Fourier transform, q-Bessel–Fourier transform and q-Dunkl transform are also obtained.
One-sided Gorenstein rings
Authors: Christensen Lars Winther , Estrada Sergio , Liang Li , Thompson Peder , Wang Junpeng 
Published: January 2024

Abstract
Distinctive characteristics of Iwanaga–Gorenstein rings are
typically understood through their intrinsic symmetry. We show that
several of those that pertain to the Gorenstein global dimensions
carry over to the one-sided situation, even without the noetherian
hypothesis. Our results yield new relations among homological
invariants related to the Gorenstein property, not only Gorenstein
global dimensions but also the suprema of projective/injective
dimensions of injective/projective modules and finitistic
dimensions.
The quotient set of the quadratic distance set over finite fields
Authors: Iosevich Alex , Koh Doowon , Rakhmonov Firdavs 
Published: January 2024

Abstract
Let

𝔽
q
d

{\mathbb{F}_{q}^{d}}

be the d-dimensional vector space over the finite field

𝔽
q

{\mathbb{F}_{q}}

with q elements. For each non-zero r in

𝔽
q

{\mathbb{F}_{q}}

and

E
⊂

𝔽
q
d

{E\subset\mathbb{F}_{q}^{d}}

, we define

W
⁢

(
r
)

{W(r)}

as the number of quadruples

(
x
,
y
,
z
,
w
)

∈

E
4

{(x,y,z,w)\in E^{4}}

such that

Q
⁢

(

x
-
y

)

Q
⁢

(

z
-
w

)

=
r

{\frac{Q(x-y)}{Q(z-w)}=r}

, where Q is a non-degenerate quadratic form in d variables over

𝔽
q

{\mathbb{F}_{q}}

.
When

Q
⁢

(
α
)

=

∑

i
=
1

d

α
i
2

{Q(\alpha)=\sum_{i=1}^{d}\alpha_{i}^{2}}

with

α
=

(

α
1

,
…
,

α
d

)

∈

𝔽
q
d

{\alpha=(\alpha_{1},\ldots,\alpha_{d})\in\mathbb{F}_{q}^{d}}

,
Pham (2022) recently used the machinery of group actions and proved that if

E
⊂

𝔽
q
2

{E\subset\mathbb{F}_{q}^{2}}

with

q
≡

3

⁢

(

mod
⁡
4

)

{q\equiv 3~{}(\operatorname{mod}\,4)}

and

|
E
|

≥

C
⁢
q

{|E|\geq Cq}

, then we have

W
⁢

(
r
)

≥

c
⁢

|
E
|

4

q

{W(r)\geq\frac{c|E|^{4}}{q}}

for any non-zero square number

r
∈

𝔽
q

{r\in\mathbb{F}_{q}}

, where C is a sufficiently large constant, c is some number between 0 and 1, and

|
E
|

{|E|}

denotes the cardinality of the set E.
In this article, we improve and extend Pham’s result in two dimensions to arbitrary dimensions with general non-degenerate quadratic distances. As a corollary of our results, we also generalize the sharp results on the Falconer-type problem for the quotient set of distance set due to the first two authors and Parshall (2019). Furthermore, we provide improved constants for the size conditions of the underlying sets.
The key new ingredient is to relate the estimate of the

W
⁢

(
r
)

{W(r)}

to a quadratic homogeneous variety in

2
⁢
d

{2d}

-dimensional vector space.
This approach is fruitful because it allows us to take advantage of Gauss sums which are more handleable than the Kloosterman sums appearing in the standard distance-type problems.
Multiplicity of solutions for a singular system with sign-changing potential
Authors: Lin Wentao , Wei Yilan 
Published: January 2024

Abstract
This paper focuses on a singular system with a sign-changing potential in Γ, a bounded domain with a Lipschitz boundary in

ℝ
d

{\mathbb{R}^{d}}

. By imposing appropriate conditions on the weight potential, which is allowed to change sign, we establish the existence of multiple solutions using the shape optimization approach. This study represents one of the earliest endeavors to explore and analyze the occurrence of multiple solutions in fractional singular systems involving sign-changing potentials. By explicitly addressing this particular aspect, our paper contributes significantly to the limited body of literature that exists in this specific field.
Conceptualising Extraterritoriality. Public International Law and Private International Law Considerations
Authors: Leontiev Lucia 
Published: January 2024

Abstract
The aim of this article is to analyse extraterritoriality from public international law and private international law perspectives. Although many scholars relate the exercise of extraterritorial jurisdiction to both private and public international law, in practice the topic is mainly considered as belonging to the latter. Moreover, extraterritorial jurisdiction is not a common notion under private international law. Perhaps because the extraterritorial norm is intended to regulate first and foremost state conduct and not relationships between private persons, but this vision does not take into account that the latter are frequently affected by the norm. It is argued here that from a public international law perspective, the legal framework of extraterritorial jurisdiction is unsettled and incomplete. The bottom line is that states are largely free to unfold their power, given that international law does not really regulate extraterritorial jurisdiction but only establishes the negative obligation not to trespass on state sovereignty. Thus, considering extraterritorial jurisdiction from a national perspective, in this paper, under the general framework of private international law is not only necessary but also justified. In addressing the above, this article will first analyse extraterritoriality as an exception under public international law (2). It will reflect on the lawful/unlawful grounds for the exercise of extraterritorial jurisdiction and will show that the abandonment of territoriality in jurisdictional assertions is more desirable than feasible. Then extraterritoriality will be analysed as an inherent feature of private international law, that can be traced in all three domains regulated by the private international law (3). It will also make a case on the extraterritorial reach of national constitutions.
Estimates for the commutators of Riesz transforms related to Schrödinger-type operators
Authors: Wang Yanhui , Wang Kang 
Published: January 2024

Abstract
Let

ℒ
2

=

(

-
Δ

)

2

+

V
2

{\mathcal{L}_{2}=(-\Delta)^{2}+V^{2}}

be the Schrödinger-type operator on

ℝ
n

{\mathbb{R}^{n}}

(

n
≥
5

{n\geq 5}

), let

H

ℒ
2

1

⁢

(

ℝ
n

)

{H^{1}_{\mathcal{L}_{2}}(\mathbb{R}^{n})}

be the Hardy space related to

ℒ
2

{\mathcal{L}_{2}}

, and let

BMO
θ

⁢

(
ρ
)

{\mathrm{BMO}_{\theta}(\rho)}

be the BMO-type space introduced by Bongioanni, Harboure and Salinas.
In this paper, we investigate the boundedness of commutator

[
b
,

T

α
,
β
,
j

]

{[b,T_{\alpha,\beta,j}]}

, which is generated by the Riesz transform

T

α
,
β
,
j

=

V

2
⁢
α

⁢

∇
j

⁡

ℒ
2

-
β

{T_{\alpha,\beta,j}=V^{2\alpha}\nabla^{j}\mathcal{L}_{2}^{-\beta}}

,

j
=

1
,
2
,
3

{j=1,2,3}

, and

b
∈

BMO
θ

⁢

(
ρ
)

{b\in\mathrm{BMO}_{\theta}(\rho)}

. Here,

0
<
α
≤

1
-

j
4

{0<\alpha\leq 1-\frac{j}{4}}

,

j
4

<
β
≤
1

{\frac{j}{4}<\beta\leq 1}

,

β
-
α

=

j
4

{\beta-\alpha=\frac{j}{4}}

, and the nonnegative potential V
belongs to both the reverse Hölder class

RH
s

{\mathrm{RH}_{s}}

with

s
≥

n
2

{s\geq\frac{n}{2}}

and the Gaussian class associated with

(

-
Δ

)

2

{(-\Delta)^{2}}

.
The

L
p

{L^{p}}

boundedness of

[
b
,

T

α
,
β
,
j

]

{[b,T_{\alpha,\beta,j}]}

is obtained, and it is also shown that

[
b
,

T

α
,
β
,
j

]

{[b,T_{\alpha,\beta,j}]}

is bounded from

H

ℒ
2

1

⁢

(

ℝ
n

)

{H^{1}_{\mathcal{L}_{2}}(\mathbb{R}^{n})}

to weak

L
1

⁢

(

ℝ
n

)

{L^{1}(\mathbb{R}^{n})}

.