bluuebunny/crossref_metadata_2025 huggingface dataset:
Action of the Mapping Class Group on Character Varieties and Higgs Bundles
Authors: Garcia-Prada Oscar , Wilkin Graeme
Published: January 2023

We consider the action of a finite subgroup of the mapping class group

\mathrm{Mod}(S)

of an oriented compact surface

S

of genus

g \geqslant 2

on the moduli space

\mathcal{R}(S,G)

of representations of

\pi_1(S)

in a connected semisimple real Lie group

G

. Kerckhoff's solution of the Nielsen realization problem ensures the existence of an element

J

in the Teichmüller space of

S

for which

\Gamma

can be realised as a subgroup of the group of automorphisms of

X=(S,J)

which are holomorphic or antiholomorphic. We identify the fixed points of the action of

\Gamma

on

\mathcal{R}(S,G)

in terms of

G

-Higgs bundles on

X

equipped with a certain twisted

\Gamma

-equivariant structure, where the twisting involves abelian and non-abelian group cohomology simultaneously. These, in turn, correspond to certain representations of the orbifold fundamental group. When the kernel of the isotropy representation of the maximal compact subgroup of

G

is trivial, the fixed points can be described in terms of familiar objects on

Y=X/\Gamma^+

, where

\Gamma^+\subset \Gamma

is the maximal subgroup of

\Gamma

consisting of holomorphic automorphisms of

X

. If

\Gamma=\Gamma^+

one obtains actual

\Gamma

-equivariant

G

-Higgs bundles on

X

, which in turn correspond with parabolic Higgs bundles on

Y=X/\Gamma

(this generalizes work of Nasatyr & Steer for

G=\mathrm{SL}(2,\mathbb{R})

and Boden, Andersen & Grove and Furuta & Steer for

G=\mathrm{SU}(n))

. If on the other hand

\Gamma

has antiholomorphic automorphisms, the objects on

Y=X/\Gamma^+

correspond with pseudoreal parabolic Higgs bundles. This is a generalization in the parabolic setup of the pseudoreal Higgs bundles studied by the first author in collaboration with Biswas & Hurtubise.
Unique Continuation for Many-Body Schrödinger Operators and the Hohenberg-Kohn Theorem. II: The Pauli Hamiltonian
Authors: Garrigue Louis
Published: January 2023

We prove the strong unique continuation property for many-body Pauli operators with external potentials, interaction potentials and magnetic fields in

L^p_{\mathrm{loc}}(\mathbb{R}^d)

, and with magnetic potentials in

L^q_{\mathrm{loc}}(\mathbb{R}^d)

, where

p>\max (2d/3,2)

and

q>2d

. For this purpose, we prove a singular Carleman estimate involving fractional Laplacian operators. Consequently, we obtain Tellgren's Hohenberg-Kohn theorem for the Maxwell-Schrödinger model.
On the Fibres of Mishchenko-Fomenko Systems
Authors: Crooks Peter , Roeser Markus
Published: January 2023

This work is concerned with Mishchenko and Fomenko's celebrated theory of completely integrable systems on a complex semisimple Lie algebra

\mathfrak{g}

. Their theory associates a maximal Poisson-commutative subalgebra of

\mathbb{C}[\mathfrak{g}]

to each regular element

a\in\mathfrak{g}

, and one can assemble free generators of this subalgebra into a moment map

F_a:\mathfrak{g}\rightarrow\mathbb{C}^b

. This leads one to pose basic structural questions about

F_a

and its fibres, e.g. questions concerning the singular points and irreducible components of such fibres.

We examine the structure of fibres in Mishchenko-Fomenko systems, building on the foundation laid by Bolsinov, Charbonnel-Moreau, Moreau, and others. This includes proving that the critical values of

F_a

have codimension

1

or

2

in

\mathbb{C}^b

, and that each codimension is achievable in examples. Our results on singularities make use of a subalgebra

\mathfrak{b}^a\subseteq\mathfrak{g}

, defined to be the intersection of all Borel subalgebras of

\mathfrak{g}

containing

a

. In the case of a non-nilpotent

a\in\mathfrak{g}_{\mathrm{reg}}

and an element

x\in\mathfrak{b}^a

, we prove the following:

x+[\mathfrak{b}^a,\mathfrak{b}^a]

lies in the singular locus of

F_a^{-1}(F_a(x))

, and the fibres through points in

\mathfrak{b}^a

form a

\text{rank}(\mathfrak{g})

-dimensional family of singular fibres. We next consider the irreducible components of our fibres, giving a systematic way to construct many components via Mishchenko-Fomenko systems on Levi subalgebras

\mathfrak{l}\subseteq\mathfrak{g}

. In addition, we obtain concrete results on irreducible components that do not arise from the aforementioned construction. Our final main result is a recursive formula for the number of irreducible components in

F_a^{-1}(0)

, and it generalizes a result of Charbonnel-Moreau. Illustrative examples are included at the end of this paper.
The Bredon-Landweber Region in $C_2$-Equivariant Stable Homotopy Groups
Authors: Guillou Bertrand J. , Isaksen Daniel C.
Published: January 2023

We use the

C_2

-equivariant Adams spectral sequence to compute part of the

C_2

-equivariant stable homotopy groups

\pi^{C_2}_{n,n}

. This allows us to recover results of Bredon and Landweber on the image of the geometric fixed-points map

\pi^{C_2}_{n,n} \rightarrow \pi_0

. We also recover results of Mahowald and Ravenel on the Mahowald root invariants of the elements

2^k

.
Factorization of Dirac Operators on Almost-Regular Fibrations of $\mathrm{Spin}^c$ Manifolds
Authors: Kaad Jens , van Suijlekom Walter D.
Published: January 2023

We establish the factorization of the Dirac operator on an almost-regular fibration of

\mathrm{spin}^c

manifolds in unbounded KK-theory. As a first intermediate result we establish that any vertically elliptic and symmetric first-order differential operator on a proper submersion defines an unbounded Kasparov module, and thus represents a class in KK-theory. Then, we generalize our previous results on factorizations of Dirac operators to proper Riemannian submersions of

\mathrm{spin}^c

manifolds. This allows us to show that the Dirac operator on the total space of an almost-regular fibration can be written as the tensor sum of a vertically elliptic family of Dirac operators with the horizontal Dirac operator, up to an explicit 'obstructing' curvature term. We conclude by showing that the tensor sum factorization represents the interior Kasparov product in bivariant K-theory.
Manis valuations and Prüfer extensions. I
Authors: Knebusch Manfred , Zhang Digen
Published: January 2023

We call a commutative ring extension

A \subset R

Prüfer, if

A

is an

R

-Prüfer ring in the sense of Griffin (Can. J. Math. 26 (1974)). These extensions relate to Manis valuations in much the same way as Prüfer domains to Krull valuations. We develop a basic theory of Prüfer extensions and give some examples. In the introduction we try to explain why Prüfer extensions deserve interest from a geometric viewpoint.
Non-Elliptic Webs and Convex Sets in the Affine Building
Authors: Akhmejanov Tair
Published: January 2023

We describe the

\mathfrak{sl}_3

non-elliptic webs in terms of convex sets in the affine building. Kuperberg defined the non-elliptic web basis in his work on rank-

2

spider categories.
B. Fontaine
et al. [Compos. Math. 149, No. 11, 1871–1912 (2013; Zbl 1304.22016)] showed that the

\mathfrak{s}l_3

non-elliptic webs are dual to CAT(0) triangulated diskoids in the affine building. We show that each such triangulated diskoid is the intersection of the min-convex and max-convex hulls of a generic polygon in the building. Choosing a generic polygon from each of the components of the Satake fiber produces (the duals of) the non-elliptic web basis. The convex hulls in the affine building were first introduced by
G. Faltings
[Prog. Math. 195, 157–184 (2001; Zbl 1028.14002)] and are related to tropical convexity, as discussed in work by
M. Joswig
et al. [Albanian J. Math. 1, No. 4, 187–211 (2007; Zbl 1133.52003)] and by
L. Zhang
["Computing convex hulls in the affine building of

\mathfrak{sl}_d

", Preprint, ].
Frobenius gauges and a new theory of $p$-torsion sheaves in characteristic $p$
Authors: Fontaine Jean-Marc , Jannsen Uwe
Published: January 2023

We develop a new cohomology theory in characteristic

p>0

, the so called

F

-gauge cohomology, a cohomology with values in the category of so-called

F

-gauges, which refines the crystalline cohomology. We mainly discuss the theory for smooth projective varieties over perfect fields of characteristic

p

. We also compare our theory with other existing structures like the

F

-zips of
B. Moonen
and
T. Wedhorn
[Int. Math. Res. Not. 2004, No. 72, 3855–3903 (2004; Zbl 1084.14023)] and the displays of
A. Langer
and
T. Zink
[Doc. Math. 12, 147–191 (2007; Zbl 1122.14016)].
On the local regularity theory for the magnetohydrodynamic equations
Authors: Chamorro Diego , Cortez Fernando , He Jiao , Jarrín Oscar
Published: January 2023

Local regularity results are obtained for the MHD equations using as global framework the setting of parabolic Morrey spaces. Indeed, by assuming some local boundedness assumptions (in the sense of parabolic Morrey spaces) for weak solutions of the MHD equations it is possible to obtain a gain of regularity for such solutions in the general setting of the Serrin regularity theory. This is the first step of a wider program that aims to study both local and partial regularity theories for the MHD equations.
A complete description of the cohomological invariants of even genus hyperelliptic curves
Authors: Di Lorenzo Andrea , Pirisi Roberto
Published: January 2023

When the genus

g

is even, we extend the computation of mod

2

cohomological invariants of

\mathcal{H}_g

to non algebraically closed fields, we give an explicit functorial description of the invariants and we completely describe their multiplicative structure.

In the Appendix, we show that the cohomological invariants of the compactification

\overline{\mathcal{H}}_g

are trivial, and use our methods to give a very short proof of a result by Cornalba on the Picard group of the compactification

\overline{\mathcal{H}}_g

and extend it to positive characteristic.
Stabilization of periods of Eisenstein series and Bessel distributions on $GL(3)$ relative to $U(3)$
Authors: Lapid Erez , Rogawski Jonathan
Published: January 2023

We study the regularized periods of Eisenstein series on

GL(3)

relative to

U(3)

. A stabilization procedure is used to express the periods in terms of

L

-functions. This is combined with the relative trace formula Jacquet and Ye to obtain new identities on Bessel distributions.
Cancellation theorem for motivic spaces with finite flat transfers
Authors: Bachmann Tom
Published: January 2023

We show that the category of motivic spaces with transfers along finite flat morphisms, over a perfect field, satisfies all the properties we have come to expect of good categories of motives. In particular we establish the analog of Voevodsky's cancellation theorem.
Bracket width of simple Lie algebras
Authors: Dubouloz Adrien , Kunyavskiĭ Boris , Regeta Andriy
Published: January 2023

The notion of commutator width of a group, defined as the smallest number of commutators needed to represent each element of the derived group as their product, has been extensively studied over the past decades. In particular, in [Math. Ann. 294, No. 2, 235–265 (1992; Zbl 0894.55006)]
J. Barge
and
E. Ghys
discovered the first example of a simple group of commutator width greater than one among groups of diffeomorphisms of smooth manifolds.

We consider a parallel notion of bracket width of a Lie algebra and present the first examples of simple Lie algebras of bracket width greater than one. They are found among the algebras of algebraic vector fields on smooth affine varieties.
On a torsion analogue of the weight-monodromy conjecture
Authors: Ito Kazuhiro
Published: January 2023

We formulate and study a torsion analogue of the weight-monodromy conjecture for a proper smooth scheme over a non-archimedean local field. We prove it for proper smooth schemes over equal characteristic non-archimedean local fields, abelian varieties, surfaces, varieties uniformized by Drinfeld upper half spaces, and set-theoretic complete intersections in projective smooth toric varieties. In the equal characteristic case, our methods rely on an ultraproduct variant of Weil II established by Cadoret.
On the reductions of certain two-dimensional crystalline representations
Authors: Arsovski Bodan
Published: January 2023

The question of computing the reductions modulo

p

of two-dimensional crystalline

p

-adic Galois representations has been studied extensively, and partial progress has been made for representations that have small weights, very small slopes, or very large slopes. It was conjectured by Breuil, Buzzard, and Emerton that these reductions are irreducible if they have even weight and non-integer slope. We prove some instances of this conjecture for slopes up to

\frac{p-1}{2}

.
Representation stability and outer automorphism groups
Authors: Pol Luca , Strickland Neil Patrick
Published: January 2023

In this paper we study families of representations of the outer automorphism groups indexed on a collection of finite groups

\mathcal{U}

. We encode this large amount of data into a convenient abelian category which generalizes the category of VI-modules appearing in the representation theory of the finite general linear groups. Inspired by work of
T. Church
et al. [Duke Math. J. 164, No. 9, 1833–1910 (2015; Zbl 1339.55004)], we investigate for which choices of

\mathcal{U}

the abelian category is locally noetherian and deduce analogues of central stability and representation stability results in this setting. Finally, we show that some invariants coming from rational global homotopy theory exhibit representation stability.
Homotopy groups of highly connected Poincaré duality complexes
Authors: Beben Piotr , Theriault Stephen
Published: January 2023

Methods are developed to relate the action of a principal fibration to relative Whitehead products in order to determine the homotopy type of certain spaces. The methods are applied to thoroughly analyze the homotopy type of the based loops on certain cell attachments. Key examples are

(n-1)

-connected Poincaré Duality complexes of dimension

2n

or

2n+1

with minor cohomological conditions.
An infinitesimal variant of the Guo-Jacquet trace formula. I: The case of $(\mathrm{GL}_{2n, D}, \mathrm{GL}_{n, D}\times \mathrm{GL}_{n, D})$
Authors: Li Huajie
Published: January 2023

We establish an infinitesimal variant of Guo-Jacquet trace formula for the case of

(GL_{2n, D}, GL_{n, D}\times GL_{n, D})

. It is a kind of Poisson summation formula obtained by an analogue of Arthur's truncation process. It consists in the equality of the sums of two types of distributions which are non-equivariant in general: one type is associated to rational points in the categorical quotient, while the other type is the Fourier transform of the first type. For regular semi-simple points in the categorical quotient, we obtain weighted orbital integrals.
Additive decompositions for rings of modular forms
Authors: Meier Lennart
Published: January 2023

We study rings of integral modular forms for congruence subgroups as modules over the ring of integral modular forms for

SL_2\mathbb{Z}

. In many cases these modules are free or decompose at least into well-understood pieces. We apply this to characterize which rings of modular forms are Cohen-Macaulay and to prove finite generation results. These theorems are based on decomposition results about vector bundles on the compactified moduli stack of elliptic curves.
Spectral theory of regular sequences
Authors: Coons Michael , Evans James , Mañibo Neil
Published: January 2023

Regular sequences are natural generalisations of fixed points of constant-length substitutions on finite alphabets, that is, of automatic sequences. Using the harmonic analysis of measures associated with substitutions as motivation, we study the limiting asymptotics of regular sequences by constructing a systematic measure-theoretic framework surrounding them. The constructed measures are generalisations of mass distributions supported on attractors of iterated function systems.
A universal rigid abelian tensor category
Authors: Barbieri-Viale Luca , Kahn Bruno
Published: January 2023

We prove that any rigid additive symmetric monoidal category can be mapped to a rigid abelian symmetric monoidal category in a universal way. This sheds a new light on abelian

\otimes

-envelopes and on motivic conjectures such as Grothendieck's standard conjecture

\mathrm{D}

and Voevodsky's smash nilpotence conjecture.
Strongly homotopy-commutative monoids revisited
Authors: Brinkmeier Michael
Published: January 2023

We prove that the delooping, i. e., the classifying space, of a grouplike monoid is an

H

-space if and only if its multiplication is a homotopy homomorphism, extending and clarifying a result of Sugawara. Furthermore it is shown that the Moore loop space functor and the construction of the classifying space induce an adjunction of the according homotopy categories.
An index formula for groups of isometric linear canonical transformations
Authors: Savin Anton , Schrohe Elmar
Published: January 2023

We define a representation of the unitary group

U(n)

by metaplectic operators acting on

L^2(\mathbb{R}^n)

and consider the operator algebra generated by the operators of the representation and pseudodifferential operators of Shubin class. Under suitable conditions, we prove the Fredholm property for elements in this algebra and obtain an index formula.
Additivity violation of the regularized minimum output entropy
Authors: Collins Benoît , Youn Sang-Gyun
Published: January 2023

The problem of additivity of the Minimum Output Entropy is of fundamental importance in Quantum Information Theory (QIT). It was solved by
Matthew B. Hastings
[“Superadditivity of communication capacity using entangled inputs”, Nature Physics 5, 255–257 (2009; )] in the one-shot case by exhibiting a pair of random quantum channels. However, the initial motivation was arguably to understand regularized quantities, and there was so far no way to solve additivity questions in the regularized case. The purpose of this paper is to give a solution to this problem. Specifically, we exhibit a pair of quantum channels that unearths additivity violation of the regularized minimum output entropy. Unlike previously known results in the one-shot case, our construction is non-random, infinite-dimensional, and in the commuting-operator setup. The commuting-operator setup is equivalent to the tensor-product setup in the finite-dimensional case for this problem, but their difference in the infinite-dimensional setting has attracted substantial attention and legitimacy recently in QIT with the celebrated resolutions of Tsirelson's and Connes embedding problem [
Z. Ji
et al., “

\mathsf{MIP}^*= \mathsf{RE}

”, Preprint, ], Likewise, it is not clear that our approach works in the finite-dimensional setup. Our strategy of proof relies on developing a variant of the Haagerup inequality optimized for a product of free groups.
Reduction of structure to parabolic subgroups
Authors: Ofek Danny
Published: January 2023

Let

G

be an affine group over a field of characteristic not two. A

G

-torsor is called
isotropic
if it admits reduction of structure to a proper parabolic subgroup of

G

. This definition generalizes isotropy of affine groups and involutions of central simple algebras. When does

G

admit anisotropic torsors? Building on work of J. Tits, we answer this question for simple groups. We also give an answer for connected and semisimple

G

under certain restrictions on its root system.
Local Leopoldt's problem for rings of integers in Abelian $p$-extensions of complete discrete valuation fields
Authors: Bondarko M.V.
Published: January 2023

Using the standard duality we construct a linear embedding of an associated module for a pair of ideals in an extension of a Dedekind ring into a tensor square of its fraction field. Using this map we investigate properties of the coefficient-wise multiplication on associated orders and modules of ideals. This technique allows to study the question of determining when the ring of integers is free over its associated order. We answer this question for an Abelian totally wildly ramified

p

-extension of complete discrete valuation fields whose different is generated by an element of the base field. We also determine when the ring of integers is free over a Hopf order as a Galois module.
Stability of the relativistic electron-positron field of atoms in Hartree-Fock approximation: Heavy elements
Authors: Brummelhuis Raymond , Röhrl Norbert , Siedentop Heinz
Published: January 2023

We show that the modulus of the Coulomb Dirac operator with a sufficiently small coupling constant bounds the modulus of the free Dirac operator from above up to a multiplicative constant depending on the product of the nuclear charge and the electronic charge. This bound sharpens a result of Bach et al citeBachetal1999 and allows to prove the positivity of the relativistic electron-positron field of an atom in Hartree-Fock approximation for all elements occurring in nature.
Cyclic projective planes and Wada dessins
Authors: Streit Manfred , Wolfart Jürgen
Published: January 2023

Bipartite graphs occur in many parts of mathematics, and their embeddings into orientable compact surfaces are an old subject. A new interest comes from the fact that these embeddings give
dessins d'enfants
providing the surface with a unique structure as a Riemann surface and algebraic curve. In this paper, we study the (surprisingly many different) dessins coming from the graphs of finite cyclic projective planes. It turns out that all reasonable questions about these dessins – uniformity, regularity, automorphism groups, cartographic groups, defining equations of the algebraic curves, their fields of definition, Galois actions – depend on
cyclic orderings
of difference sets for the projective planes. We explain the interplay between number theoretic problems concerning these cyclic ordered difference sets and topological properties of the dessin like e.g. the
Wada property
that every vertex lies on the border of every cell.
Protein Hydrolysate of Green Peas Bromelain Attenuates Kidney Fibrosis in Cisplatin-Induced Nephrotoxicity Rats: Emphasis on Anti-Inflammatory Activities
Authors: Hidayat Meilinah , Pangastuti Retno , Prahastuti Sijani , Hasan Khomaini
Published: January 2023

Massive tubule fibrosis is a histopathology hallmark of chronic renal failure (CRF). The previous study of protein hydrolysate of green pea (Pisum sativum) bromelain (PHGPB) showed promising results as an antifibrosis in glucose-induced renal mesangial culture cells, by decreasing their TGF-β levels. In this experiment the anti-inflammatory, anti-fibrotic effect of PHGPB in Cisplatin-induced chronic renal failure (CRF) rats was measured. The purpose of this study is to evaluate the anti-inflammatory and antifibrosis effect of PHGPB in Cisplatin-induced chronic renal failure rats. Five groups consisted of five rats: negative control, Cisplatin control, and three groups of Cisplatin+PHGPB (dose of 100, 200, and 400 mg/kg BW/day) treated for 56 days. The examined parameters are Beta-2-microglobulin (β2MG), hs-CRP, histopathological observations of Masson's trichrome stain, and IHC. The level of β2MG and hs-CRP in the Cisplatin+PHGPB group lowered and was highly different from Cisplatin control (p<0.05) depending on doses. In histopathology, the Cisplatin+PHGPB 400 mg/kg BW group showed less fibrosis and no significant difference with the negative control in Masson trichome staining. While in IHC histopathology, PHGPB treatment slightly ameliorated TGF-β expression and intensity of TGF-β values convincingly. In conclusion, PHGPB can relieve kidney fibrosis in cisplatin-induced nephrotoxicity rats: Emphasis on anti-inflammatory activities.
A Study of Chemical Constituents in Platinum Fast-Grown Teak Wood (Tectona grandis) with Age Differences Using Py-GCMS Coupled with Interdependence Multivariate Analysis
Authors: Ismayati Maya , Pramasari Dwi Ajias , Dwianto Wahyu , Adi Danang Sudarwoko , Muliawati Nyndia Tri , Damayanti Ratih , Pramesti Narita Ayu Putri , Ramadhan Syahrul , Hardianto Ari , Kamaluddin Nadia Nuraniya
Published: January 2023

Pyrolysis gas chromatography-mass spectrometry (Py-GCMS) is a simple, rapid, and reliable analytical technique to assay lignocellulose biomass. This study aims to analyze the chemical content of various ages of platinum fast-grown teak wood using PyGCMS coupled with interdependence multivariate analysis. Fifty-eight peaks were shown in the pyrogram originating from carbohydrates, lignin, and extractive derivatives. Along with age, platinum fast-grown teak wood showed higher carbohydrate derivatives in heartwood than sapwood. Compared to teak wood grown in conventional (between 36.72-45.69%), platinum fast-grown teak wood has a higher content of carbohydrates (42.82-48.04%). A substantial amount of G-unit lignin was detected in the sapwood, while the S-unit lignin dominated the heartwood. The extractive content of 10-years-old teak wood heartwood was 4.82%, higher than 10- and 20-years-old heartwood from conventional wood (2.23% and 8.88%, respectively). Multivariate analysis of the chemical compound showed that Py-GCMS could be utilized to classify platinum fast-grown and conventional teak wood. 2-methyl anthraquinone (MAQ) content of 10-year-old fast-grown teak wood was 2.5 times higher than 20-year-old conventional teak wood. Based on the study, platinum fast-grown teak wood is promising as alternative wood material to fulfill the market demand for conventional teak wood.
Badania prędkości przy użyciu wybranego urządzenia wspomagającego ruch
Authors: Ambroszko Wojciech
Published: January 2023

W artykule zaprezentowano wyniki badań parametrów ruchu osoby poruszającej się na różnych rodzajach rolek. Przeprowadzono analizę i ocenę wpływu konstrukcji rolek na osiągane parametry ruchu, w szczególności na prędkości, w aspekcie możliwości wykonywania rekonstrukcji i czasowo-przestrzennych analiz zdarzeń drogowych z udziałem osób poruszających się na rolkach. Badania zostały przeprowadzone na placu manewrowym oraz podczas przejazdów długodystansowych. Do badań wykorzystano urządzenie pomiarowe VBOX Sport. Uzyskane wyniki mogą być wykorzystane w rekonstrukcji wypadków drogowych. Na zakończenie, wykorzystując program V-Sim 5.0 przeprowadzono symulację upadku na rolkach, wskazując na wartości przyspieszeń i prędkości w chwili uderzenia głową o podłoże.

Speed tests with the use of a motion assistive device

The article presents the results of research on the parameters of the movement of a person moving on various types of roller skates. An analysis and evaluation of the impact of the roller skate design on the achieved traffic parameters, speeds in particular, in terms of the possibility of reconstructing road events with the participation of roller skaters and conducting time-distance analyses was carried out. The tests were carried out in various road conditions, i.e. on the maneuvering yard and over long distances. The VBOX Sport measuring device was used for the tests. Using the V-Sim version 5.0, a simulation of a fall while roller skating was carried out, indicating the values of acceleration and velocity at the moment of hitting the head on the ground. The speed results obtained in various traffic conditions can be used in time-distance analyses, and the presented material indicates the complexity of the issue a as well as the need for an indepth analysis of a possible case.
Próby potrąceniowe z użyciem manekinów pieszego. Manekin pieszego PRIMUS – konstrukcja i unikalne cechy
Authors: Wdowicz Daniel
Published: January 2023

W artykule pokrótce przedstawiono modele manekinów zderzeniowych pieszych, dzieląc je na manekiny stosowane typowo na potrzeby projektowania pojazdów oraz stosowane w badaniach rekonstrukcyjnych wypadków drogowych. Przedstawiono wybrane badania z dziedziny rekonstrukcji wypadków drogowych, w których wykorzystywane były manekiny pieszych. W drugiej części artykułu przedstawiono konstrukcję manekina PRIMUS – produktu od niedawna dostępnego na rynku. Opisano budowę manekina i podsumowanie badań weryfikujących jego odpowiedź dynamiczną w warunkach potrącenia oraz wymieniono potencjalne jego zastosowania, takie jak rekonstrukcje wypadków i badania eksperymentalne na potrzeby przemysłu.

Crash tests employing pedestrian dummies. PRIMUS dummy – design and unique properties
The article presents various models of pedestrian crash test dummies, grouping them by their applicability: vehicle manufacture or road accident reconstruction. Selected experiments in the latter area using dummies of pedestrians are presented. The second part of the article is devoted to a description of a PRIMUS dummy – a relatively new product on the market. The structure of the dummy is presented, and studies verifying the dynamic response of the dummy in a collision with pedestrian are summarized. The application of the dummy in road accident reconstruction and R&D experiments are presented.
Material and technical base of grain subcomplex of the Republic of Kazakhstan: innovative solutions
Authors:   A.Baitursynov Kostanay Regional University, Ismuratova G. , Akhmetkali T. ,   A.Baitursynov Kostanay Regional University, Kozhakhmetova D. Sh. ,   Narxoz University
Published: January 2023

The relevance of topic is the role and place of innovation, innovative technological solutions in production of grain in Kazakhstan. The goal – is to identify problems in development of grain subcomplex in the context of economic analysis of the state of machine and tractor facilities and the country's agricultural engineering in general, based on building productivity trends dependence and manufacture of equipment used in agriculture, production costs for growing crops in order to identify the potential of the industry. Calculate annual increase in gross value added from production of agricultural machinery. Determine the share of agricultural sector in the republic's GDP as one of the priority areas of the economy of Kazakhstan. Methods – economic-statistical, abstract-logical, calculation-constructive. Results – the conducted theoretical and analytical studies confirm the presence of unused reserves in the AIC and its grain farming as main export market segment. Conclusions - processes of globalization contribute to increase in innovative activity in AIC, and especially in grain industry. The term "innovations" in modern conditions for assessing the effectiveness of functioning of agro-industrial complex has a new meaning. Innovative scientific projects in many States have acquired the character of priority progressive movement and have received comprehensive support in State program documents. The constraining factor of innovative activity is technological unpreparedness of enterprises, small-scale commodity, low level of mechanized labor. The competitiveness of grain production in the world commodity market depends on State regulation of innovation process in agricultural sector, expansion of engineering and technical service system, and adoption of preventive measures.
The Future Mobility Strategy: Focusing on OEM Electrification
Authors:   Institute of Global Business Research, Oh Suam , Yun Wonjoo
Published: January 2023

With the advent of the next-generation mobility concept, the automotive industry is undergoing a major paradigm shift. As a first step towards releasing novel and innovative solutions to the challenge of “mobility,” it is necessary to move away from the physical concept of automobiles centered on internal combustion engines. Electrification is rapidly progressing along with global environmental regulations to achieve the carbon neutrality goal by 2050. Despite this, automakers are experiencing profitability declines due to soaring battery and oil prices, as well as an inability to secure semiconductor supplies. The purpose of this study is to address the major future mobility trend, focusing on technology and policy aspects. It also aims to suggest ways of dealing with them in an effective manner. Finally, this study suggests that OEMs can secure their future outlook by actively leading the mobility trend amid the paradigm shift in the automobile industry.
PRAVNOISTORIJSKI POGLED NA MENIČNU (NE)SPOSOBNOST SELjAKA
Authors:   University of Kragujevac, Faculty of Law, Gavrilović Grbović Biljana
Published: January 2023

The paper deals with the issue of development of exchange ability, i.e. inabilitiy in Serbia, in the period from the second half of the 19th century to the first decades of the 20th century; with special reference to the peasant’s exchange inability. Namely, in the Commercial Code of the Principality of Serbia, from 1860, it was stipulated that peasants who are interested in agricultural work do not have a passive exchange ability. At the end of the 19th and the beginning of the 20th century, the provision on the passive exchange inability of the peasants was increasingly circumvented in practice, and criticized in theory. Despite this, the drafter of the Bill of Exchange Law for the Kingdom of Serbia, since 1912, retains the provision on the passive exchange inability of the peasants. However, as a result of the war, this Project was not legalized, with the fact that the peasants were still denied the passive exchange ability, based on the Commercial Code from 1860. The question of the passive inability of the peasants came up again in the territory of Serbia, after the formation of the Kingdom of SHS; it was necessary to unify the bill of exchange law, and therefore to solve the problem of the peasant's exchange (in)ability in a unique way. In this connection, there were arguments for the prescription of passive peasant inability in the Yugoslav Kingdom as well. But, as it was mostly Serbians who advocated for peasant’s inability, a provision was included in the text of the Yugoslav Bill of Exchange, according to which peasants also enjoyed a passive exchange ability.
PRAVO NA PRIVATNOST U MEDIJIMA
Authors:   University of Kragujevac, Faculty of Law, Kijevčanin Ružica
Published: January 2023

In the paper, the author will discuss the right to privacy in the media, as an issue that attracts attention every day and affects other spheres of life. On this path, first of all, he will define the concept of media, not stopping at the legal regulation, but taking into account the factual situation and the novelties brought by technological development. The new concept of the term media implies numerous advantages, but also negatives. On the one hand, sources with numerous, diverse information have never been more accessible to citizens, while on the other hand, we see great confusion and wandering in an unknown space that is challenging and full of dangers. The right to privacy, it seems, has never been more threatened, and we are definitely responsible for such a situation. There is a lot of unregulated space that needs to be covered by legal regulations, and in this sense it is important that we act as soon as possible, so that, first of all, we become aware that each of our clicks means a potential problem, that is, consent to give a part of ourselves to the unknown, and then protect ourselves and secure the future.
GENEZA RAZVOJA USLUGA U DOMENU ZAŠTITE PODATAKA O LIČNOSTI
Authors:   University of Kragujevac, Faculty of Law, Ivkovic Nikola
Published: January 2023

The paper analyzes the issue of the human right to privacy and the integral area of personal data protection. First, the genesis of the development of the human right to privacy is analyzed. Then, through the prism of modern tendencies, contemporary social reality and the attitude towards these rights can be observed. As historical moments are important for understanding, from a theoretical aspect, the influence of social turmoil and the development of the right to privacy are pointed out. Through modern processes, the influence that technology, the development of the Internet and social networks have on the degree of threat to the right to privacy is highlighted. The existence of the so-called the paradox of privacy. On the one hand, efforts are being made in the normative and political sense to limit the uncontrolled use of personal data. In particular, sensitive personal data is taken into account. However, on the other hand, there is no clear awareness among citizens about the need to protect personal data. In this sense, the analysis and research of the paradox of privacy is of great importance in creating solutions and considering services in the field of personal data protection.
Strategies for the adoption of innovation processes in agricultural productive units of the Department of La Guajira -Colombia: Literary review and systemic approach
Authors: Ramírez Molina Reynier Israel , Herrera Tapias Beliña Annery , Sukier Harold Bernardo , Ríos Pérez Juan David , Torregroza Espinosa Ana Carolina , Lay Raby Nelson David
Published: January 2023

From the appearance of man to the present, food production has been a critical issue in ensuringthe survival of the human species. Over the centuries, agricultural production has evolved with the domestication of plant and animal species and the emergenceof technologies and techniques in production processes, affecting population growthand cities. The research seeks to describe the strategies for adopting innovation processes in the Department of La Guajira -Colombia agricultural production units.The results show that, in the last four decades, innovation strategies have begun to be discussed as a term that has evolved, going from incorporating new technologies to including elements related to efficiency, economic sustainability, sustainability, redesign of organizational structures, and the implementation of best practices that result in quality, quantity, safety and hygiene of agricultural activities. It is concluded that the studies on innovation strategies in agricultural productive units can be about phenomena that promote agricultural innovation, agricultural production models,and improvements in agricultural production processes, of which there is evidence of application in the Department of La Guajira.
Sustainable agricultural development paradigm formation in the context of managerial experience of industrialized countries
Authors: Nikitenko Vitalina , Voronkova Valentyna , Oleksenko Roman , Matviienko Halyna , Butkevych Oksana
Published: January 2023

The purpose of the article is to study the management experience of sustainable development of agriculture in the context of the paradigm of industrialized countries. To achieve the goal, general scientific and special-scientific methods of cognition were used, in particular, dialectical, formal-logical, analysis and synthesis, system-structural. This study analyzes the problems of "deep reform choice", which is the goal of creating an environmentally friendly society. The conditions under which agroecology restores and maintains the natural fertility of the land and contributes to the conservation of biodiversity, conserves soil and water resources, contributes to the achievement of high yields in the long term and opposes the use of agrochemicals are clarified. The management experience of industrialized countries (China, Japan, Malaysia), which, by developing agroecology, reproduce the natural flows of closed material cycles, resist emissions into the atmosphere, provide reliable access to land, water resources, information, credit and markets, advocates for a revision is being studied and generalizes legislation on property rights and support for farmers, investments in local infrastructure and agricultural products.
The role of information technologies in the innovation development management of enterprises of the national economy
Authors: Filyppova Svitlana , Ohiienko Mykola , Cherkasova Svitlana , Korobova Nataliia , Krylov Denys , Samoilovych Oleksandr
Published: January 2023

The purpose of the article is to clarify the role of information technologies in the management of innovative development of enterprises of the national economy. Withinthe article, the authors used both general scientific and special research methods. Thearticle is based on the application of the general theory of systems, economic theory, theory of information and innovations. Among the special methods, the following should be mentioned: analysis and synthesis, systematic, induction and deduction, scientific generalization and abstraction, graphic method.The ratio of the number of active innovative enterprises of Ukraine to the total number of enterprises by type of economic activity for the period 2018-2020 was analyzed.An algorithm for the use of information technologies in the management of innovative development of enterprises of the national economy is defined, which consists of eight consecutive stages, two of which have alternative options for actions, the choice of which depends on further implementation.
Introduction of electronic governance technologies in administrative, social and labor relations: Legal regulation and foreign experience
Authors: Leheza Yevhen , Yurovska Viktoriia , Zadyraka Nataliia , Myroniuk Roman , Melnyk Vitalii
Published: January 2023

The purpose of the researchis to reveal the peculiarities of introduction of E-Governance Technologies in administrative, social and labor relations: legal regulation and foreign experience. Main content. Information and communication technologies are widelyused by state authorities, but “electronic government” (“E-Government”) and “electronic government” (“E-Governance”) envisage much more than simple use of electronic, digital instruments, namely re-thinking of governance mechanisms, its structures and processes, changing of behavior, relations between participants of electronic governance processes. Methodology: The methodological basis of the research is the dialectical method of scientific knowledge, through the application of this method considered were legal, functional, organizational and procedural aspects of introduction of E-Governance technologies in administrative, social and labor relations: legal regulation and foreign experience.Conclusions. It was determined that there is a noticeable lack of training of employees of state administration bodies for introduction of E-Governance. The digital transformation of the government and its units consists not only of the ability to use information and communication technologies. First of all, the essence consists in transformation of public administration as part of the vision and strategy of national development of the country as a whole.
Level of the information ecosystem of an educational institution and the impact of the digitization process on its development.
Authors: Loiko Valeriia , Butenko Andriy , Teremetskyi Vladyslav , Serohina Svitlana , Sukhomlyn Viktor
Published: January 2023

The purpose of the article is the formation of methodological recommendations, an algorithm for determining the level of an educational institution’s information ecosystem and the identification of the essence of the impact of the digitalization process onits development and transformation. The research methods used are monographic analysis, analysis and synthesis, systemic, economic-mathematical modeling, generalization.It has been substantiated that modern information ecosystems of educational institutions in Ukraine are in the process of formation and the development of their information ecosystem is affected by the process of digitalization. It has been concluded that a person of a new formation is formed due to the improvement and acquisitionof new digital skills. Those skills are the basis of professional activity and a vital necessity for a person of a new formation. It has been emphasized that there is a change in the education system –transition from passive learning by listening to active learning by searching and studying information, sharing knowledge and skills under the influence of the digitalization process.
Recommendation System from Microsoft News Data using TF-IDF and Cosine Similarity Methods
Authors: Yunanda Gisela , Nurjanah Dade , Meliana Selly
Published: January 2023

The rapidly growing information causes information overload, so news portals publish information massively. Readers need time to search and read more news, but the time relevance of news wears off quickly. A recommendation system is needed that can recommend news according to the preferences of readers. This study recommends news using the TF-IDF method. TF-IDF gives weight to each word in the news title, and then looks for similarity between stories using cosine similarity. To prove the accuracy of whether the system recommendation results were actually clicked by the reader, the recommendation results were matched with the reader's news history on the online news portal Microsoft News using a hit-rate. The hit-rate result in this study was 80.77%.
Penerapan Metode Design Thinking Dalam Pengembangan UI dan UX
Authors: Herfandi Herfandi , Yuliadi Yuliadi , Zaen Mohammad Taufan Asri , Hamdani Fahri , Safira Azzahrah Maulya
Published: January 2023

Website is a computer service that is connected with hypertext facilities. A bad user interface that is made carelessly will affect the user experience (UX), so that the information to be conveyed cannot be received properly. The Design Thinking method is proven to be able to provide solutions in designing user interfaces based on the experience, emotions, and situation of the user (user experience). PD. BPR NTB Sumbawa has a website that can be said to have not maximized the function of the user interface and user experience in the manufacturing process. The results of the questionnaire with a Likert scale to 30 respondents resulted in 47% of users agreeing with the inaccurate website layout. Based on these problems, this research applies the Design Thinking method to analyze and develop user interfaces and user experiences. This research resulted in user empathy map, user persona, user interface design based on define, wireframe and prototype stages in responsive form made using Figma. The prototype results have gone through a direct testing process by the user and produced a better display design based on the Design Thinking Method stage. The prototype display design is expected to make it easier for users to use Thinking and increase interaction satisfaction between users and products.
Multi-aspect Sentiment Analysis of Tiktok Application Usage Using FasText Feature Expansion and CNN Method
Authors: Malik Rifki Alfian Abdi , Sibaroni Yuliant
Published: January 2023

Among the many social media platforms that have emerged, TikTok is a platform that has the most significant number of subscribers compared to other platforms. However, not all reviews given by TikTok users are good reviews and reviews are often found with slang and not all reviews have real meaning, therefore sentiment analysis is needed for these problems. These reviews will later be analyzed for sentiment according to predetermined aspects, namely feature aspects, business aspects, and content aspects based on reviews written on the Google Play Store, using data crawling techniques and will pass the preprocessing and weighting stages. The weighting method used is Term Frequency-Inverse Document Frequency (TF-IDF). Then, the sentiment analysis process will use the Convolutional Neural Network (CNN) method, and feature expansion will be carried out to determine what words are interrelated with certain words. The purpose of this research is to analyze sentiment using Convolutional Neural Network and fastText feature expansion. The highest accuracy result is 87.74%.