bluuebunny/crossref_metadata_2025_split huggingface dataset:
On functions of bounded β-dimensional mean oscillation
Authors: Chen You-Wei , Spector Daniel 
Published: May 2023

Abstract
In this paper, we define a notion of β-dimensional mean oscillation of functions

u
:

Q
0

⊂

ℝ
d

→
ℝ

{u:Q_{0}\subset\mathbb{R}^{d}\to\mathbb{R}}

which are integrable on β-dimensional subsets of the cube

Q
0

{Q_{0}}

:

∥
u
∥

BMO
β

⁢

(

Q
0

)

:=

sup

Q
⊂

Q
0

⁡

inf

c
∈
ℝ

⁡

1

l
⁢

(
Q
)

β

⁢

∫
Q

|

u
-
c

|

⁢

𝑑

ℋ
∞
β

,

\displaystyle\|u\|_{\mathrm{BMO}^{\beta}(Q_{0})}\vcentcolon=\sup_{Q\subset Q_{%
0}}\inf_{c\in\mathbb{R}}\frac{1}{l(Q)^{\beta}}\int_{Q}|u-c|\,d\mathcal{H}^{%
\beta}_{\infty},

where the supremum is taken over all finite subcubes Q parallel to

Q
0

{Q_{0}}

,

l
⁢

(
Q
)

{l(Q)}

is the length of the side of the cube Q, and

ℋ
∞
β

{\mathcal{H}^{\beta}_{\infty}}

is the Hausdorff content. In the case

β
=
d

{\beta=d}

we show this definition is equivalent to the classical notion of John and Nirenberg, while our main result is that for every

β
∈

(
0
,
d
]

{\beta\in(0,d]}

one has a dimensionally appropriate analogue of the John–Nirenberg inequality for functions with bounded β-dimensional mean oscillation: There exist constants

c
,
C

>
0

{c,C>0}

such that

ℋ
∞
β

⁢

(

{

x
∈
Q

:

|

u
⁢

(
x
)

-

c
Q

|

>
t

}

)

≤

C
⁢
l
⁢

(
Q
)

β

⁢

exp
⁡

(

-

c
⁢
t

∥
u
∥

BMO
β

⁢

(

Q
0

)

)

\displaystyle\mathcal{H}^{\beta}_{\infty}(\{x\in Q:|u(x)-c_{Q}|>t\})\leq Cl(Q)%
^{\beta}\exp\biggl{(}-\frac{ct}{\|u\|_{\mathrm{BMO}^{\beta}(Q_{0})}}\biggr{)}

for every

t
>
0

{t>0}

,

u
∈

BMO
β

⁢

(

Q
0

)

{u\in\mathrm{BMO}^{\beta}(Q_{0})}

,

Q
⊂

Q
0

{Q\subset Q_{0}}

, and suitable

c
Q

∈
ℝ

{c_{Q}\in\mathbb{R}}

. Our proof relies on the establishment of capacitary analogues of standard results in integration theory that may be of independent interest.
Explicit solutions of the Dirichlet–Schrödinger problem via the new cylindrical Poisson–Schrödinger kernel method
Authors: Qiao Lei 
Published: May 2023

Abstract
In this paper, we study the cylindrical Schrödinger operator and construct a modified cylindrical Poisson–Schrödinger kernel, in analogy to
the classical theory of the Laplacian in a strip.
A new method expressing explicitly the modified cylindrical Poisson–Schrödinger kernels of any degree is obtained, and a formula expressing the modified cylindrical Poisson–Schrödinger integrals in terms of Nevanlinna–Schrödinger norms is deduced.
Applications in the solutions of Dirichlet–Schrödinger problem are described. More specifically, the existence and uniqueness of explicit solutions to the problem mentioned above for the cylindrical Schrödinger equation are obtained.
It is shown that our method yields more explicit results than do other methods. Much more challenging geometric configurations, such as a cylinder with a rough base bear new and interesting challenges arising from the lateral boundary conditions. These have-at least to our knowledge-not been addressed before.
Multiplicative Lie-type derivations on standard operator algebras
Authors: Ashraf Mohammad , Akhter Md Shamim , Ansari Mohammad Afajal , Akhtar Mohd Shuaib 
Published: May 2023

Abstract
Let

𝔄

{\mathfrak{A}}

be a standard operator algebra on a complex Banach space

𝔛

{\mathfrak{X}}

,

dim
⁡
𝔛

>
1

{\dim\mathfrak{X}>1}

, and

p
n

⁢

(

T
1

,

T
2

,
…
,

T
n

)

{p_{n}(T_{1},T_{2},\dots,T_{n})}

the

(

n
-
1

)

{(n-1)}

th-commutator of elements

T
1

,

T
2

,
…
,

T
n

∈
𝔄

{T_{1},T_{2},\dots,T_{n}\in\mathfrak{A}}

.
Then every map

ξ
:

𝔄
→
𝔄

{\xi:\mathfrak{A}\rightarrow\mathfrak{A}}

(not necessarily linear) satisfying

ξ
⁢

(

p
n

⁢

(

T
1

,

T
2

,
…
,

T
n

)

)

=

∑

i
=
1

n

p
n

⁢

(

T
1

,

T
2

,
…
,

T

i
-
1

,

ξ
⁢

(

T
i

)

,

T

i
+
1

,
…
,

T
n

)

{\xi(p_{n}(T_{1},T_{2},\dots,T_{n}))=\sum_{i=1}^{n}p_{n}(T_{1},T_{2},\dots,T_{%
i-1},\xi(T_{i}),T_{i+1},\dots,T_{n})}

for all

T
1

,

T
2

,
…
,

T
n

∈
𝔄

{T_{1},T_{2},\dots,T_{n}\in\mathfrak{A}}

is of the form

ξ
=

Ω
+
Γ

{\xi=\Omega+\Gamma}

, where

Ω
:

𝔄
→
𝔄

{\Omega:\mathfrak{A}\rightarrow\mathfrak{A}}

is an additive derivation and

Γ
:

𝔄
→

ℂ
⁢
I

{\Gamma:\mathfrak{A}\rightarrow\mathbb{C}I}

is a map that vanishes at each

(

n
-
1

)

{(n-1)}

th-commutator

p
n

⁢

(

T
1

,

T
2

,
…
,

T
n

)

{p_{n}(T_{1},T_{2},\dots,T_{n})}

for all

T
1

,

T
2

,
…
,

T
n

∈
𝔄

{T_{1},T_{2},\dots,T_{n}\in\mathfrak{A}}

.
In addition, if the map ξ is linear and satisfies the above relation, then there exist an operator

S
∈
𝔄

{S\in\mathfrak{A}}

and a
linear map

Γ
:

𝔄
→

ℂ
⁢
I

{\Gamma:\mathfrak{A}\rightarrow\mathbb{C}I}

satisfying

Γ
⁢

(

p
n

⁢

(

T
1

,

T
2

,
…
,

T
n

)

)

=
0

{\Gamma(p_{n}(T_{1},T_{2},\dots,T_{n}))=0}

for all

T
1

,

T
2

,
…
,

T
n

∈
𝔄

{T_{1},T_{2},\dots,T_{n}\in\mathfrak{A}}

, such that

ξ
⁢

(
T
)

=

[
T
,
S
]

+

Γ
⁢

(
T
)

{\xi(T)=[T,S]+\Gamma(T)}

for all

T
∈
𝔄

{T\in\mathfrak{A}}

.
Convolution equations on the Lie group G = (-1,1)
Authors: Duduchava Roland 
Published: May 2023

Abstract
The interval

G
=

(

-
1

,
1
)

{G=(-1,1)}

turns into a Lie group under the group operation

x
∘
y

:=

(

x
+
y

)

⁢

(

1
+

x
⁢
y

)

-
1

{x\circ y:=(x+y)(1+xy)^{-1}}

,

x
,
y

∈
G

{x,y\in G}

. This enables us to define of the invariant measure

d
⁢
G
⁢

(
x
)

:=

(

1
-

x
2

)

-
1

⁢
d
⁢
x

{dG(x):=(1-x^{2})^{-1}dx}

and the Fourier transformation

ℱ

G

{{\mathcal{F}}{}_{G}}

on the interval G and, as a consequence, we can consider Fourier convolution operators

W

G
,
a

0

:=
ℱ

a

G

-
1

ℱ

G

{W^{0}_{G,a}:={\mathcal{F}}{}_{G}^{-1}a{\mathcal{F}}{}_{G}}

on G. This class of convolutions includes the celebrated Prandtl, Tricomi and Lavrentjev–Bitsadze equations and, also, differential equations of arbitrary order with the generic differential operator

𝔇
G

⁢
u
⁢

(
x
)

=

(

1
-

x
2

)

⁢

u
′

⁢

(
x
)

{\mathfrak{D}_{G}u(x)=(1-x^{2})u^{\prime}(x)}

,

x
∈
G

{x\kern-1.0pt\in\kern-1.0ptG}

. Equations are solved in the scale of generic Bessel potential

ℍ
p
s

⁢

(
G
,

d
⁢
G
⁢

(
x
)

)

{\mathbb{H}^{s}_{p}(G,dG(x))}

,

1
⩽
p
⩽
∞

{1\kern-1.0pt\leqslant\kern-1.0ptp\kern-1.0pt\leqslant\kern-1.0pt\infty}

, and Hölder–Zygmund

ℤ
ν

⁢

(
G
)

{\mathbb{Z}^{\nu}(G)}

,

0
<
μ

,

ν
<
∞

{0<\mu,\nu<\infty}

, spaces, adapted to the group G. The boundedness of convolution operators (the problem of multipliers) is discussed. The symbol

a
⁢

(
ξ
)

{a(\xi)}

,

ξ
∈
ℝ

{\xi\in\mathbb{R}}

, of a convolution equation

W

G
,
a

0

⁢
u

=
f

{W^{0}_{G,a}u=f}

defines solvability as follows: the equation is uniquely solvable if and only if the symbol a is elliptic. The solution is written explicitly with the help of the inverse symbol.
Also, we shortly touch upon the multidimensional analogue – the Lie group

G
n

{G^{n}}

.
Kompromiss und Demokratie. Eine begriffsgeschichtliche Annäherung
Authors: Rojek Sebastian 
Published: May 2023

Zusammenfassung
In unserer Gegenwart gilt Kompromissfähigkeit als zentrale demokratische Tugend und Politiker, Journalisten und die Wissenschaften sprechen gerne und viel über Demokratie und Kompromiss. Ausgehend von dieser Beobachtung widmet sich der Aufsatz einer historisch-semantischen Rekonstruktion des Kompromissbegriffs und fragt danach, wann und unter welchen Umständen sein Aufstieg in der politisch-sozialen Sprache Deutschlands begann. Die Untersuchung macht deutlich, dass der Kompromiss – verstanden als Schiedsgerichtsverfahren – eine lange Tradition alteuropäischer Begrifflichkeit aufweist und in Deutschland erst im Kontext der Sattelzeit eine neue Bedeutung annahm, die sich bis in die Gegenwart fortsetzt. Die Studie verfolgt die Konjunkturen und argumentativen Muster, die mit diesem Begriff von der 1848er Revolution bis zum Ende des Ersten Weltkriegs verknüpft wurden. Dabei zeigt sich, dass der Begriff vom monarchischen Konstitutionalismus auf die Demokratie übertragen worden ist.
Exploring aural vocabulary knowledge for TOEIC as a language exit requirement in higher education in Taiwan
Authors: Li Chen-Hong 
Published: May 2023

Abstract
The Test of English for International Communication (TOEIC) is a high-stakes test for students in higher education in Taiwan to fulfill the English-language graduation requirement. However, little is known regarding the vocabulary threshold for the test or the effects of the lexical coverage and profiles of test items on the adequate comprehension of the test. This study used a validated Listening Vocabulary Levels Test (LVLT) and the TOEIC listening subtest to estimate learners’ aural vocabulary knowledge required for an exit TOEIC listening score. The findings showed: (1) aural lexical knowledge accounted for more than half of the variance in comprehension performance; (2) a minimum level of 3,000 word families for a lexical coverage of 98 % considerably affected the comprehension of spoken texts; and (3) lexical profiles varied in the individual parts of the listening subtest, with a range of 3,000–5,000 word families required for achieving a lexical coverage of 98 %. The crucial role of lexical knowledge/coverage in comprehension performance on the exit test was discussed.
On the recovery of internal source for an elliptic system by neural network approximation
Authors: Zhang Hui , Liu Jijun 
Published: May 2023

Abstract
Consider a source detection problem for a diffusion system at its stationary status, which is stated as the inverse source problem for an elliptic equation from the measurement of the solution specified only in part of the domain. For this linear ill-posed problem, we propose to reconstruct the interior source applying neural network algorithm, which projects the problem into a finite-dimensional space by approximating both the unknown source and the corresponding solution in terms of two neural networks. By minimizing a novel loss function consisting of PDE-fit and data-fit terms but without the boundary condition fit, the modified deep Galerkin method (MDGM) is applied to solve this problem numerically. Based on the stability result for the analytic extension of the solution, we strictly estimate the generalization error caused by the MDGM algorithm employing the property of conditional stability and the regularity of the solution.
Numerical experiments show that we can obtain satisfactory reconstructions even in higher-dimensional cases, and validate the effectiveness of the proposed algorithm for different model configurations. Moreover, our algorithm is stable with respect to noisy inversion input data for the noise in various structures.
Effect of case-based learning, team-based learning and regular teaching methods on secondary school students’ self-concept in chemistry in Maara sub-county, Tharaka Nithi county, Kenya
Authors: Arimba Antony Mugiira , Wamukuru David Kuria , Anditi Zachary Orato 
Published: May 2023

Abstract
The use of case-based learning and team-based learning may help increase students’ self-concept in chemistry. The purpose of this study was to fill this gap by finding out the effects of case-based learning, team-based learning and regular teaching methods on secondary school students’ self-concept in chemistry in Maara Sub-County, Kenya. The study employed a 3 × 2 × 2 pre-test, post-test quasi-experimental factorial design. The study targeted 18,611 students in 52 secondary schools. Purposive sampling was used to choose three co-educational secondary schools with similar characteristics in Maara Sub-County. A total of 106 form two chemistry students were selected for the study using simple random sampling method. The experimental groups were taught using case-based learning and team-based learning while the control group was taught by regular teaching methods. The three groups were compared two-by-two to find out groups in which the differences in self-concept in chemistry would occur. Student’s self-concept questionnaire was administered to the students in the three groups. The validity of the instrument was ascertained by experts from Egerton University. Pilot testing was done in Meru South Sub-County in schools with similar characteristics. Reliability of the instruments estimated using Cronbach’s alpha coefficient was 0.81. Descriptive and inferential statistics were used for data analysis at α = 0.05. The mean differences in self-concept in the post-test were statistically significant among the three groups. The results of this study may offer valuable knowledge to policy makers as well as chemistry teachers so as to give greater attention to chemistry self-concept among students. The study findings fill a knowledge gap of effectiveness of methods of teaching chemistry.
Olimpia bajo la política religiosa del emperador Juliano
Authors: ARAGÓN PÉREZ Alberto 
Published: May 2023

En este artículo se plantea realizar un estudio en profundidad sobre la situación de la religión griega en la Antigüedad Tardía, y más exactamente cuando a mediados del siglo IV el Cristianismo adquiría una imparable presencia social y política. Para conocer el estado de los cultos paganos en el Imperio de Oriente y cuál era todavía su verdadero peso frente al empuje de los seguidores de Jesús, se desarrollará la investigación a través de uno de los documentos coetáneos que más informan sobre la religión griega y sus manifestaciones bajo imperiales: los escritos del emperador Juliano.Palabras clave: Olimpia, Juegos Olímpicos de la Antigüedad, Imperio Romano Tardío, paganismo griego. OLYMPIA UNDER THE RELIGIOUS POLICIES OF THE EMPEROR JULIAN In this article we will examine the a detailed study of the situation of the Greek religion in Late Antiquity, and more exactly when Christianity was becoming an increasing social and political presence in the middle of the IV century. To know the status of the pagan cults in the Eastern Empire and what was its real importance in front of the push of the Christians, we will develop this research through one of the most contemporary documents that inform about Greek religion and its manifestations in the Late Antiquity: the writings of the emperor Julian.Key words: Olympia, Ancient Olympic Games, Roman Empire during the Late Antiquity, Greek pagan religion.
La Asociación Panibérica de Academias Olímpicas. Génesis, contexto, herencia y consecuencias de su creación
Authors: JIMÉNEZ DE LA FUENTE Augusto 
Published: May 2023

El trabajo que se presenta supone una investigación histórica de un periodo de la Historia del Tiempo Presente del Olimpismo. En él se aborda el proceso de creación de la Asociación Iberoamericana de Academias Olímpicas, en Madrid el 14 de junio de 1990,que en 2002 cambió su denominación de Iberoamericana por la actual de Panibérica. Ello supuso que se integraron no solamente Academias Nacionales de América y la Península Ibérica, sino también Academias de antiguas colonias españolas y portuguesas en África. Para ello se ha analizado el contexto histórico y social en que Conrado Durántez Corral gestionó la creación de la institución y las circunstancias que tuvo que resolver en todo el proceso. Igualmente el trabajo pretende exponer las consecuencias que a nivel mundial aquella creación supuso, como un acto pionero amparado por la Academia Olímpica Española como principal impulsora, y que en 1996 fue reconocida por la Academia Olímpica Internacional y por el Comité Olímpico Internacional a través de su entonces presidente, Juan Antonio Samaranch.Palabras clave: Asociación Iberoamericana de Academias Olímpicas, Asociación Panibérica de Academias Olímpicas, Academia Olímpica Española, Conrado Durántez THE PANIBERIAN ASSOCIATION OF OLYMPIC ACADEMIES. GENESIS, CONTEXT, INHERITANCE AND CONSEQUENCES OF ITS CREATIONAbstract:The work presented represents a historical research of investigation of a period and circumstance of Present Time History of Olympism. In this work we will deal the process of creation of the Iberoamerican Association of Olympic Academies, in Madrid on June 14, 1990, which changed its name from Iberoamerican by the current Paniberian, in 2002. This meant that not only integrated National Academies of America and the Iberian Peninsula, but also Academies of former Spanish and Portuguese colonies in Africa. In order to develop this topics have been analyzed the historical and social context where Conrado Durántez Corral managed the creation of the institution and the circumstances that had to be resolved in the process. The work also aims to expose the consequences that globally that creation was, as an act covered by the Spanish Olympic Academy as main promoter, and in 1996 was recognized by the International Olympic Academy and the International Olympic Committee through its then president, Juan Antonio Samaranch.Key words: Iberoamerican Association of Olympic Academies, Paniberian Association of Olympic Academies, Spanish Olympic Academy, Conrado Durántez
Las metodologías educativas en la Europa continental en la que se educó Pierre de Coubertin: la gimnástica del siglo XIX y los materiales como criterio metodológico fundamental
Authors: PASTOR PRADILLO José Luis 
Published: May 2023

La evolución y el desarrollo de la metodología de la Educación Física ha estado orientada por distintos condicionantes y factores. La aportación de conocimientos y de fundamento conceptual de distintas ciencias (Anatomía, Pedagogía, Fisiología, Psicología etc.) determinaron las distintas orientaciones que en cada época la caracterizó. El primer referente que fue utilizado durante el s. XIX fue el uso de los materiales y aparatos gimnásticos. Los objetivos que sugirió esta orientación estuvieron casi absolutamente identificados con las destrezas motrices derivadas del uso de estos materiales. Para concretar el papel de estos aparatos y reconstruir la metodología imperante en esta época, en este trabajo, se elabora un inventario de materiales y aparatos usados en gimnasios y centros de enseñanza durante el s. XIX.Palabras clave: Metodología. Materiales. Historia MATERIALS AS FUNDAMENTAL METHODOLOGICAL CRITERIA FOR XIXth CENTURY GYMNASTICAbstract:The evolution and development of the methodology of physical education has been guided by different conditions and factors. The contribution of knowledge and conceptual basis of several sciences (Anatomy, Education, Physiology, Psychology etc.) determined different approaches along history. The first reference used during the XIXth century was the use of materials and gymnastic implements. The objectives of this approach were almost entirely identified with motor skills derived from the use of these materials. To realize the role of these devices and rebuild the prevailing methodology at this time, an inventory of materials and equipment used in gyms and schools during the XIXth century is proposed in this paper.Key Words: Methodology. Materials. History
First-principles study of Ti50Ru50-xYx (Y = Ni, Pd and Pt) with a prospect to induce SME on stable CsCl-type Ti50Ru50 phase
Authors: Ngobe B. S. , Phasha M. J. , Molepo M. P. , Mwamba I. A. 
Published: May 2023

AbstractMost CsCl-type intermetallics composed of group IV and VIII–XI transition metals have shape memory effect (SME), a phenomenon that occurs on a certain class of materials with an ability to undergo martensitic transformation (MT) during cooling. This advanced functional materials’ property is enabled by MT from high-temperature B2 phase of high symmetry to lower symmetry phases such as L10, B19 or B19’ upon cooling. Peculiarly, Ti50Ru50 with similar ordered B2 at high temperature remains ordered and stable with no phase transition down to room temperature. In this study, first-principles calculations based on density functional theory (DFT) are used to investigate the structural, thermodynamic and electronic properties of the stable Ti50Ru50 compound by systematically substituting part of the Ru atoms with ductile group 10 metal (Ni, Pd and Pt). This is an attempt to destabilizing B2 phase at 0 K through Ti50Ru50-xYx ternary alloying to promote MT that could yield SME.
Graphical Abstract
DRY SLIDING WEAR BEHAVIOUR OF AZ31/ZrO2 COMPOSITES PRODUCED USING A STIR CASTING PROCESS
Authors: Basha K. Kamal , R. Subramanian  , T. Satish Kumar  , G. Suganya Priyadharshini  
Published: May 2023

This study investigates the effect of ZrO2 reinforcement (5, 10 and 15) vol.% on the dry sliding wear behaviour of AZ31 Mg alloy composites produced using stir casting. The wear test (pin on disc) was conducted at different loads of (10, 20, 30 and 40) N and sliding velocities of (1, 3 and 5) m/s. The variation in the wear rate and friction co-efficient with the change in the load at a constant sliding distance was determined. Results showed that the composites exhibited a lower wear rate at higher loads and speeds compared to the AZ31 alloy. In particular, AZ31-15 vol.% ZrO2 composite showed the lowest wear rate and friction coefficient. Different wear mechanisms operating during the wear test were investigated using SEM and XRD.
Special Education Teachers’ Readiness and Self-Efficacy in Utilization of Assistive Technologies for Instruction in Secondary School
Authors: Surajudeen Tosho Bakinde , Ibironke Ebenezer Sanya , Aladesusi Gboyega Ayodeji 
Published: May 2023

This study determined the Special Education Teachers’ Readiness and Self-Efficacy in Utilization of Assistive Technologies for Instruction in Secondary School, Oyo State. The study adopted descriptive research of the survey type. The population for this study was made up of all special education teachers in Oyo State. Purposive sampling techniques were used to select 119 special education teachers in Oyo-state. Descriptive and Inferential statistics were used to answer the research question and test the stated hypotheses with the aid of statistical product and service solution (SPSS) version 20.0 at a 0.05 level of significance. The findings indicated that special education teachers are ready to use assistive technology for instruction and the teachers have high self-efficacy in the use of assistive technology for instruction. The study concluded that assistive technology can be used to facilitate teaching and stimulation if appropriately deployed. Therefore, it was recommended that special Education teachers should be encouraged to deploy assistive technology for learning irrespective of their gender
Role of Poroelasticity and Viscoelasticity during the Postseismic Deformation of the 2021 Mw 7.4 Maduo, China, Earthquake
Authors: Tang Xiongwei , Guo Rumeng , Xu Jianqiao , Zheng Yong 
Published: May 2023

Abstract
The 2021 Mw 7.4 Maduo earthquake within the Bayan Har block allows us to understand the lithospheric mechanical properties in northeastern Tibet. We analyze possible postseismic processes by modeling the six-month postseismic deformation from Interferometric Synthetic Aperture Radar data. Our optimal afterslip-poroviscoelastic model is not only physically more reasonable but also has the best data fit. The postseismic deformation is dominated by afterslip located at depths of 10–20 km, revealing a complementary pattern with the up-dip high-coseismic slip. Yet ignoring poroelasticity and viscoelasticity will result in errors in afterslip of &gt;12 cm locally. Poroelastic rebound contributes to significant postseismic line of sight (LoS) deformation, up to ∼14 mm, near the northwest and southeast fault segments. The steady-state viscosities in the lower crust and upper mantle are 4×1019  Pa·s and 2×1020  Pa·s, respectively, consistent with the “jelly sandwich” model but not with the crustal-flow models featuring much lower viscosity.