bluuebunny/crossref_metadata_2025 huggingface dataset:
On Infinite Effectivity of Motivic Spectra and the Vanishing of their Motives
Authors: Bondarko Mikhail Vladimirovich
Published: January 2023

We study the kernel of the "compact motivization" functor

M_{k,\Lambda}^c:SH^c_{\Lambda}(k)\to DM_{\Lambda}^c(k)

(i.e., we try to describe those compact objects of the

\Lambda

-linear version of

SH(k)

whose associated motives vanish; here

\mathbb{Z} \subset \Lambda \subset \mathbb{Q})

. We also investigate the question when the

0

-homotopy connectivity of

M^c_{k,\Lambda}(E)

ensures the

0

-homotopy connectivity of

E

itself (with respect to the homotopy

t

-structure

t_{\Lambda}^{SH}

for

SH_{\Lambda}(k))

. We prove that the kernel of

M^c_{k,\Lambda}

vanishes and the corresponding "homotopy connectivity detection" statement is also valid if and only if

k

is a non-orderable field; this is an easy consequence of similar results of T. Bachmann (who considered the case where the cohomological

2

-dimension of

k

is finite). Moreover, for an arbitrary

k

the kernel in question does not contain any

2

-torsion (and the author also suspects that all its elements are odd torsion unless

\frac{1}{2}\in \Lambda)

. Furthermore, if the exponential characteristic of

k

is invertible in

\Lambda

then this kernel consists exactly of "infinitely effective" (in the sense of Voevodsky's slice filtration) objects of

SH^c_{\Lambda}(k)

. The results and methods of this paper are useful for the study of motivic spectra; they allow extending certain statements to motivic categories over direct limits of base fields. In particular, we deduce the tensor invertibility of motivic spectra of affine quadrics over arbitrary non-orderable fields from some other results of Bachmann. We also generalize a theorem of A. Asok.
Norm-Compatible Systems of Galois Cohomology Classes for $\mathbf{GSp}_6$
Authors: Cauchi Antonio , Rodrigues Jacinto Joaquín
Published: January 2023

We construct global cohomology classes in the middle degree plus one cohomology group of the Shimura variety of the symplectic group

\mathbf{GSp}_6

compatible when one varies the level at

p

. These classes are expected constituents of an Euler system for the Galois representations appearing in the middle degree étale cohomology groups of the aforementioned variety. As an application, we show how these classes provide elements in the Iwasawa cohomology of these representations and, by applying Perrin-Riou's machinery,

p

-adic

L

-functions associated to them.
Parabolic Semi-Orthogonal Decompositions and Kummer Flat Invariants of Log Schemes
Authors: Scherotzke Sarah , Sibilla Nicolò , Talpo Mattia
Published: January 2023

We construct semi-orthogonal decompositions on triangulated categories of parabolic sheaves on certain kinds of logarithmic schemes. This provides a categorification of the decomposition theorems in Kummer flat K-theory due to Hagihara and Nizioł. Our techniques allow us to generalize Hagihara and Nizioł's results to a much larger class of invariants in addition to K-theory, and also to extend them to more general logarithmic stacks.
A Finiteness Theorem for Special Unitary Groups of Quaternionic Skew-Hermitian Forms with Good Reduction
Authors: Srinivasan Srimathy
Published: January 2023

Given a field

K

equipped with a set of discrete valuations

V

, we develop a general theory to relate reduction properties of skew-hermitian forms over a quaternion

K

-algebra

Q

to quadratic forms over the function field

K(Q)

obtained via Morita equivalence. Using this we show that if

(K,V)

satisfies certain conditions, then the number of

K

-isomorphism classes of the universal coverings of the special unitary groups of quaternionic skew-hermitian forms that have good reduction at all valuations in

V

is finite and bounded by a value that depends on size of a quotient of the Picard group of

V

and the size of the kernel and cokernel of residue maps in Galois cohomology of

K

with finite coefficients. As a corollary we prove a conjecture of Chernousov, Rapinchuk, Rapinchuk for groups of this type.
Fractional Exponential Decay in the Forbidden Region for Toeplitz Operators
Authors: Deleporte Alix
Published: January 2023

We prove several results of concentration for eigenfunctions in Toeplitz quantization. Under mild regularity assumptions, we prove that eigenfunctions are

O(\exp(-cN^{\delta}))

away from the corresponding level set of the symbol, where

N

is the inverse semiclassical parameter and

0<\delta<1

depends on the regularity. As an application, we prove a precise bound for the free energy of spin systems at high temperatures, sharpening a result of Lieb.
Nonarchimedean Analytic Cyclic Homology
Authors: Cortiñas Guillermo , Meyer Ralf , Mukherjee Devarshi
Published: January 2023

Let

V

be a complete discrete valuation ring with fraction field

F

of characteristic zero and with residue field

\mathbb{F}

. We introduce analytic cyclic homology of complete torsion-free bornological algebras over

V

. We prove that it is homotopy invariant, stable, invariant under certain nilpotent extensions, and satisfies excision. We use these properties to compute it for tensor products with dagger completions of Leavitt path algebras. If

R

is a smooth commutative

V

-algebra of relative dimension

1

, then we identify the analytic cyclic homology of its dagger completion with Berthelot's rigid cohomology of

R\otimes_V\mathbb{F}

.
The Universal Lie $\infty$-Algebroid of a Singular Foliation
Authors: Laurent-Gengoux Camille , Lavau Sylvain , Strobl Thomas
Published: January 2023

We consider singular foliations

\mathcal{F}

as locally finitely generated

\mathscr{O}

-submodules of

\mathscr{O}

-derivations closed under the Lie bracket, where

\mathscr{O}

is the ring of smooth, holomorphic, or real analytic functions on a correspondingly chosen manifold. We first collect and/or prove several results about the existence of resolutions of such an

\mathcal{F}

in terms of sections of vector bundles. For example, these exist always on a compact smooth manifold

M

if

\mathcal{F}

admits real analytic generators.

We show that every complex of vector bundles

(E_\bullet,\mathrm{d})

over

M

providing a resolution of a given singular foliation

\mathcal{F}

in the above sense admits the definition of brackets on its sections such that it extends these data into a Lie

\infty

-algebroid. This Lie

\infty

-algebroid, including the chosen underlying resolution, is unique up to homotopy and, moreover, every other Lie

\infty

-algebroid inducing the given

\mathcal{F}

or any of its sub-foliations factors through it in an up-to-homotopy unique manner. We therefore call it the universal Lie

\infty

-algebroid of

\mathcal{F}

.

It encodes several aspects of the geometry of the leaves of

\mathcal{F}

. In particular, it permits us to recover the holonomy groupoid of Androulidakis and Skandalis. Moreover, each leaf carries an isotropy Lie

\infty

-algebra structure that is unique up to isomorphism. It extends a minimal isotropy Lie algebra, that can be associated to each leaf, by higher brackets, which give rise to additional invariants of the foliation. As a byproduct, we construct an example of a foliation

\mathcal{F}

generated by

r

vector fields for which we show by these techniques that, even locally, it cannot result from a Lie algebroid of the minimal rank

r

.
Monoidal Structures on the Categories of Quadratic Data
Authors: Manin Yuri Ivanovich , Vallette Bruno
Published: January 2023

The notion of 2-monoidal category used here was introduced by
B. Vallette
in [J. Pure Appl. Algebra 208, No. 2, 699–725 (2007; Zbl 1109.18002); Trans. Am. Math. Soc. 359, No. 10, 4865–4943 (2007; Zbl 1140.18006)] for applications in the operadic context. The starting point for this article was a remark by Yu. Manin that in the category of quadratic algebras (that is,"quantum linear spaces") one can also define 2-monoidal structure(s) with rather unusual properties. Here we give a detailed exposition of these constructions, together with their generalisations to the case of quadratic operads.

Their parallel exposition was motivated by the following remark. Several important operads/cooperads such as genus zero quantum cohomology operad, the operad classifying Gerstenhaber algebras, and more generally, (co)operads of homology/cohomology of some topological operads, start with collections of quadratic algebras/coalgebras rather than simply linear spaces.

Suggested here enrichments of the categories to which components of these operads belong, as well of the operadic structures themselves, might lead to better understanding of these fundamental objects.
Cohomogeneity One Manifolds with Singly Generated Rational Cohomology
Authors: DeVito Jason , Kennard Lee
Published: January 2023

We classify simply connected, closed cohomogeneity one manifolds with singly generated or

4

-periodic rational cohomology and positive Euler characteristic.
Profinite Groups with a Cyclotomic $p$-Orientation
Authors: Quadrelli Claudio , Weigel Thomas S.
Published: January 2023

Let

p

be a prime. A continuous representation

\theta\colon G\to\text{GL}_1(\mathbb{Z}_p)

of a profinite group

G

is called a cyclotomic

p

-orientation if for all open subgroups

U\subseteq G

and for all

k,n\geq1

the natural maps

H^k(U,\mathbb{Z}_p(k)/p^n)\to H^k(U,\mathbb{Z}_p(k)/p)

are surjective. Here

\mathbb{Z}_p(k)

denotes the

\mathbb{Z}_p

-module of rank 1 with

U

-action induced by

\theta\vert_U^k

. By the Rost-Voevodsky theorem, the cyclotomic character of the absolute Galois group

G_{\mathbb{K}}

of a field

\mathbb{K}

is, indeed, a cyclotomic

p

-orientation of

G_{\mathbb{K}}

. We study profinite groups with a cyclotomic

p

-orientation. In particular, we show that cyclotomicity is preserved by several operations on profinite groups, and that Bloch-Kato pro-

p

groups with a cyclotomic

p

-orientation satisfy a strong form of Tits' alternative and decompose as semi-direct product over a canonical abelian closed normal subgroup.
Ramification Divisors of General Projections
Authors: Deopurkar Anand , Duryev Eduard , Patel Anand
Published: January 2023

We study ramification divisors of projections of a smooth projective variety onto a linear space of the same dimension. We prove that for a large class of varieties, the ramification divisors of such projections vary in a maximal dimensional family. We study the map that associates to a linear projection its ramification divisor. By a degeneration argument involving (linked) limit linear series of higher rank, we show that this map is dominant for most (but not all!) varieties of minimal degree.
Strong $(\delta,n)$-Complements for Semi-Stable Morphisms
Authors: Filipazzi Stefano , Moraga Joaquín
Published: January 2023

We prove the boundedness of global strong

(\delta,n)

-complements for generalized

\epsilon

-log canonical pairs of Fano-type. We also prove some partial results towards boundedness of local strong

(\delta,n)

-complements for semi-stable morphisms. As applications, we prove an effective generalized canonical bundle formula for generalized klt pairs and an effective generalized adjunction formula for exceptional generalized log canonical centers. Moreover, we prove that the existence of strong

(\delta,n)

-complements implies a conjecture due to McKernan concerning the singularities of the base of a Mori fiber space.
Stationary Solutions to the Two-Dimensional Broadwell Model
Authors: Arkeryd Leif , Nouri Anne
Published: January 2023

Existence of renormalized solutions to the two-dimensional stationary Broadwell model in a square with given indata in

L^1

is proven. Averaging techniques from the continuous velocity case being unavailable when the velocities are discrete, the approach is based on direct

L^1

-compactness arguments using the Kolmogorov-Riesz theorem.
A Classical Family of Elliptic Curves having Rank One and the $2$-Primary Part of their Tate-Shafarevich Group Non-Trivial
Authors: Kezuka Yukako , Li Yongxiong
Published: January 2023

We study elliptic curves of the form

x^3+y^3=2p

and

x^3+y^3=2p^2

where

p

is any odd prime satisfying

p\equiv 2 \mod 9

or

p\equiv 5 \mod 9

. We first show that the

3

-part of the Birch-Swinnerton-Dyer conjecture holds for these curves. Then we relate their

2

-Selmer group to the

2

-rank of the ideal class group of

\mathbb{Q}(\sqrt[3]{p})

to obtain some examples of elliptic curves with rank one and non-trivial

2

-part of the Tate-Shafarevich group.
Representation Theory of Disconnected Reductive Groups
Authors: Achar Pramod N. , Hardesty William D. , Riche Simon
Published: January 2023

We study three fundamental topics in the representation theory of disconnected algebraic groups whose identity component is reductive: (i) the classification of irreducible representations; (ii) the existence and properties of Weyl and dual Weyl modules; and (iii) the decomposition map relating representations in characteristic

0

and those in characteristic

p

(for groups defined over discrete valuation rings of mixed characteristic). For each of these topics, we obtain natural generalizations of the well-known results for connected reductive groups.
Fourier Transform of Rauzy Fractals and Point Spectrum of 1D Pisot Inflation Tilings
Authors: Grimm Uwe , Baake Michael
Published: January 2023

Primitive inflation tilings of the real line with finitely many tiles of natural length and a Pisot-Vijayaraghavan unit as inflation factor are considered. We present an approach to the pure point part of their diffraction spectrum on the basis of a Fourier matrix cocycle in internal space. This cocycle leads to a transfer matrix equation and thus to a closed expression of matrix Riesz product type for the Fourier transforms of the windows for the covering model sets. In general, these windows are complicated Rauzy fractals and thus difficult to handle. Equivalently, this approach permits a construction of the (always continuously representable) eigenfunctions for the translation dynamical system induced by the inflation rule. We review and further develop the underlying theory, and illustrate it with the family of Pisa substitutions, with special emphasis on the classic Tribonacci case.
On the Brauer group of bielliptic surfaces (with an appendix by Jonas Bergström and Sofia Tirabassi)
Authors: Ferrari Eugenia , Tirabassi Sofia , Vodrup Magnus , Bergström Jonas
Published: January 2023

We provide explicit generators of the torsion of the second cohomology of bielliptic surfaces, and we use this to study the pullback map between the Brauer group of a bielliptic surface and that of its canonical cover.
Zinbiel algebras and multiple zeta values
Authors: Chapoton Frédéric
Published: January 2023

We build, using the notion of Zinbiel algebra, some commutative subalgebras

C_{u,v}

inside an algebra of formal iterated integrals. There is a quotient map from this algebra of formal iterated integrals to the algebra of motivic multiple zeta values. Restricting this quotient map to the subalgebras

C_{u,v}

gives a morphism of graded commutative algebras with the same graded dimension. This is conjectured to be generically an isomorphism. When

u+v = 0

, the image is instead a subalgebra of the algebra of motivic multiple zeta values.
Rank inequalities for the Heegaard Floer homology of branched covers
Authors: Hendricks Kristen , Lidman Tye , Lipshitz Robert
Published: January 2023

We show that if

L

is a nullhomologous link in a 3-manifold

Y

and

\Sigma(Y, L)

is a double cover of

Y

branched along

L

then for each spin

^c

-structure

\mathfrak{s}

on

Y

there is an inequality

\dim\widehat{HF}(\Sigma(Y, L), \pi^\ast\mathfrak{s}; \mathbb{F}_2) \geq \dim \widehat{HF} (Y, \mathfrak{s}; \mathbb{F}_2).

We discuss the relationship with the

L

-space conjecture and give some other topological applications, as well as an analogous result for sutured Floer homology.
An isovariant Elmendorf's theorem
Authors: Yeakel Sarah
Published: January 2023

An isovariant map between spaces with a group action is an equivariant map which preserves isotropy groups. In this paper, we show that for a finite group

G

, the category of

G

-spaces with isovariant maps has a Quillen model structure. We prove a Piacenza-style model theoretic proof of an isovariant Elmendorf's theorem, showing that this model structure is Quillen equivalent to a model category of diagrams.
Global stable splittings of Stiefel manifolds
Authors: Schwede Stefan
Published: January 2023

We prove global equivariant refinements of Miller's stable splittings of the infinite orthogonal, unitary and symplectic groups, and more generally of the spaces

O/O(m), U/U(m)

and

Sp/Sp(m)

. As such, our results encode compatible equivariant stable splittings, for all compact Lie groups, of specific equivariant refinements of these spaces.

In the unitary and symplectic case, we also take the actions of the Galois groups into account. To properly formulate these Galois-global statements, we introduce a generalization of global stable homotopy theory in the presence of an extrinsic action of an additional topological group.
Fiberwise Kähler-Ricci flows on families of bounded strongly pseudoconvex domains
Authors: Choi Young-Jun , Yoo Sungmin
Published: January 2023

Let

\pi:\mathbb{C}^n\times\mathbb{C}\rightarrow \mathbb{C}

be the projection map onto the second factor and let

D

be a domain in

\mathbb{C}^{n+1}

such that for

y\in\pi(D)

, every fiber

D_y:=D\cap\pi^{-1}(y)

is a smoothly bounded strongly pseudoconvex domain in

\mathbb{C}^n

and is diffeomorphic to each other. By Chau's theorem, the Kähler-Ricci flow has a long time solution

\omega_y(t)

on each fiber

X_y

. This family of flows induces a smooth real (1,1)-form

\omega(t)

on the total space

D

whose restriction to the fiber

D_y

satisfies

\omega(t)\vert_{D_y}=\omega_y(t)

. In this paper, we prove that

\omega(t)

is positive for all

t>0

in

D

if

\omega(0)

is positive. As a corollary, we also prove that the fiberwise Kähler-Einstein metric is positive semi-definite on

D

if

D

is pseudoconvex in

\mathbb{C}^{n+1}

.
On the Chow ring of the classifying stack of algebraic tori
Authors: Sala Francesco
Published: January 2023

We investigate the structure of the Chow ring of the classifying stacks

BT

of algebraic tori, as it has been defined by B. Totaro. Some previous work of N. Karpenko, A. Merkurjev, S. Blinstein and F. Scavia has shed some light on the structure of such rings. In particular Karpenko showed the absence of torsion classes in the case of permutation tori, while Merkurjev and Blinstein described in a very effective way the second equivariant Chow group

A^2_T

in the general case. Building on this work, Scavia exhibited an example where

(A^2_T)_{\text{tors}}\neq 0

.

Here, by making use of a very elementary approach, we extend the result of Karpenko to special tori and we completely determine the Chow ring

A^*_T

when

T

is an algebraic torus admitting a resolution with special tori

0\rightarrow T\rightarrow Q\rightarrow P

. In particular we show that there can be torsion in the Chow ring of such tori.
Derived equivalences between skew-gentle algebras using orbifolds
Authors: Amiot Claire , Brüstle Thomas
Published: January 2023

Skew-gentle algebras are skew-group algebras of gentle algebras equipped with a certain

\mathbb{Z}_2

-action. Building on the bijective correspondence between gentle algebras and dissected surfaces, we obtain in this paper a bijection between skew-gentle algebras and certain dissected orbifolds that admit a double cover.

We prove the compatibility of the

\mathbb{Z}_2

-action on the double cover with the skew-group algebra construction. This allows us to investigate the derived equivalence relation between skew-gentle algebras in geometric terms: We associate to each skew-gentle algebra a line field on the orbifold, and on its double cover, and interpret different kinds of derived equivalences of skew-gentle algebras in terms of diffeomorphisms respecting the homotopy class of the line fields associated to the algebras.
Flat cotorsion modules over Noether algebras
Authors: Nakamura Tsutomu , Kanda Ryo
Published: January 2023

For a module-finite algebra over a commutative noetherian ring, we give a complete description of flat cotorsion modules in terms of prime ideals of the algebra, as a generalization of Enochs' result for a commutative noetherian ring. As a consequence, we show that pointwise Matlis duality gives a bijective correspondence between the isoclasses of indecomposable injective left modules and the isoclasses of indecomposable flat cotorsion right modules. This correspondence is an explicit realization of Herzog's homeomorphism induced from elementary duality of Ziegler spectra.
Complex free spectrahedra, absolute extreme points, and dilations
Authors: Passer Benjamin
Published: January 2023

Evert and Helton proved that real free spectrahedra are the matrix convex hulls of their absolute extreme points. However, this result does not extend to complex free spectrahedra, and we examine multiple ways in which the analogous result can fail. We also develop some local techniques to determine when matrix convex sets are not (duals of) free spectrahedra, as part of a continued study of minimal and maximal matrix convex sets and operator systems. These results apply to both the real and complex cases.
Rational curves and strictly nef divisors on Calabi-Yau threefolds
Authors: Liu Haidong , Svaldi Roberto
Published: January 2023

We give a criterion for a nef divisor

D

to be semi-ample on a Calabi-Yau threefold

X

when

D^3=0=c_2(X)\cdot D

and

c_3(X)\neq 0

. As a direct consequence, we show that on such a variety

X

, if

D

is strictly nef and

\nu(D)\neq 1

, then

D

is ample; we also show that if there exists a Cariter divisor

D\not\equiv 0

in the boundary of the nef cone of

X

, then

X

contains a rational curve when its topological Euler characteristic is not

0

.
How frequent are discrete cyclic subgroups of semisimple Lie groups?
Authors: Winkelmann Jörg
Published: January 2023

Let

G

be a non-compact semisimple Lie group. We investigate the asymptotic behaviour of the probability of generating a discrete subgroup.
On the $\Gamma$-factors of motives. II
Authors: Deninger Christopher
Published: January 2023

Using an idea of C. Simpson we describe Serre's local

\Gamma

-factors in terms of a complex of sheaves on a simple dynamical system. This geometrizes our earlier construction of the

\Gamma

-factors. Relations of this approach with the

\varepsilon

-factors are also studied.
Involutions and trace forms on exterior powers of a central simple algebra
Authors: Garibaldi R.Skip , Quéguiner-Mathieu Anne , Tignol Jean-Pierre
Published: January 2023

For

A

a central simple algebra of degree

2n

, the

n

th exterior power algebra

\lambda^n A

is endowed with an involution which provides an interesting invariant of

A

. In the case where

A

is isomorphic to

Q \otimes B

for some quaternion algebra

Q

, we describe this involution quite explicitly in terms of the norm form for

Q

and the corresponding involution for

B

.
Identification of Multiple Variant Extensively Drug-Resistant Typhoid Infections across Pakistan
Authors: Kamal Rashid , Ching Carly , Zaman Muhammad H. , Sultan Faisal , Abbas Salma , Khan Ezza , Mirza Shaper , Nizamuddin Summiya
Published: January 2023

Typhoid fever, caused by Salmonella enterica serovar Typhi (S. Typhi), is a life-threatening bacterial infection. Recently, an outbreak of a new sublineage of extensively drug resistant (XDR) S. Typhi emerged in Pakistan in the province of Sindh. This sublineage had both a composite multidrug resistance transposon integrated on the chromosome and an acquired IncY plasmid carrying the extended spectrum beta-lactamase, blaCTX-M-15, which conferred resistance to third-generation cephalosporins. We observed previously that XDR typhoid had spread beyond the originating southern Sindh Province. Thus, we sought to determine the genetic diversity of 58 ceftriaxone-resistant S. Typhi clinical isolates by whole genome sequencing collected across Pakistan from November 2018 to December 2020 to provide insights into the molecular epidemiology of the evolving outbreak. We identify multiple novel genomic integrations of the extended spectrum beta-lactamase gene into the chromosome in S. Typhi, revealing the existence of various XDR typhoid variants circulating in the country. Notably, the integration of the IncY plasmid bearing antibiotic resistance genes may allow for subsequent plasmid acquisition by these variants, potentially leading to further plasmid-borne multidrug resistance. Our results can inform containment initiatives, help track associated outcomes and international spread, and help determine how widespread the risk is.
Wspomaganie rekonstrukcji zdarzeń z udziałem pieszych z wykorzystaniem modelu wielobryłowego i dodatkowych narzędzi V-SIM 5.0 oraz innych rozwiązań CYBID
Authors: Bułka Dariusz
Published: January 2023

W niniejszym artykule przedstawione zostały różne możliwości w zakresie dokumentacji i analizy zdarzeń drogowych z udziałem pieszych, dostępne w rozwiązaniach opracowanych na przestrzeni lat przez firmę CYBID, z charakterystyką ich ograniczeń i możliwości. Omówione zostały między innymi:

· analiza czasoprzestrzenna zdarzenia z udziałem pieszego,

· dokumentacja miejsca zdarzenia drogowego,

· modelowanie potrącenia pieszego jako obiektu kinematycznego,

· zastosowanie metody Slibara w analizie potrąceń pieszych,

· pomiary 3D śladów zdarzenia drogowego z udziałem pieszych,

· modelowanie 3D w analizie najechania na ciało człowieka,

· wizualizacja anatomicznego kształtu i położenia ciała człowieka,

· wizualizacja naturalnego ruchu ciała człowieka,

· model wielobryłowy ciała człowieka w programie symulacyjnym V-SIM,

· możliwość eksperymentalnego sprawdzenia zachowania ciała ludzkiego w trakcie różnego rodzaju wypadków drogowych.

Ponadto przedstawiono kierunki przyszłego rozwoju modelu wielobryłowego ciała człowieka zastosowanego w programie V-SIM 5.0, a także nowe funkcjonalności, które będzie posiadał oraz nowe możliwości zastosowania.

Supporting pedestrian events reconstruction using a multi-body model, additional V-SIM 5.0 tools and other CYBID solutions
Various potential applications of the solutions developed over the years by the CYBID company, along with the characteristics of their limitations and possibilities in the documentation and analysis of road incidents involving pedestrians are presented. The discussion covers, inter alia:

· time-distance analysis of an incident involving a pedestrian,

· documentation of the road accident scene,

· modeling of hitting a pedestrian as a kinematic object,

· application of the Slibar method in the analysis of pedestrian hits,

· 3D measurements of traces of a road accident involving pedestrians,

· 3D modeling in the analysis of vehicle running over a human body,

· visualization of the anatomical shape and position of a human body,

· visualization of the natural movement of the human body,

· a multibody model of the human body in the V-SIM simulation program,

· possibility of experimentally checking the behavior of the human body during various types of road accidents.

Directions for the future development of the multibody model of the human body used in the V-SIM 5.0 program, including its new functionalities and new potential uses are also presented.
Metody inżynierskiej analizy obrażeń z wykorzystaniem liczbowych kryteriów biomechanicznych
Authors: Kędziora Krzysztof
Published: January 2023

W artykule omówiono kryteria biomechaniczne, które mogą być przydatne do ilościowej analizy obrażeń uczestników wypadków drogowych, m.in. w zakresie obrażeń głowy, szyi, klatki piersiowej oraz kończyn dolnych. Kryteria te wyznacza się na podstawie analizy charakterystyk czasowych przyspieszenia, prędkości, przemieszczeń, a także sił i momentów sił (różne w zależności od rodzaju wskaźnika). Omówienie kryteriów przeprowadzono w oparciu o przykładowe obowiązujące w Europie normy z zakresu bezpieczeństwa, m.in. Regulamin 80 EKG/ONZ (dotyczący testów zderzeniowych w pojazdach M2, M3), Regulamin 129 (dotyczący testów fotelików dziecięcych) oraz normy brytyjskiej GMRT2100 (dotyczącej bezpieczeństwa pasażerów w transporcie kolejowym). Uwzględniono również wyniki własnych badań symulacyjnych. Niektóre z przedstawionych wskaźników oceny obrażeń zostaną zaimplementowane do wielobryłowego modelu ciała człowieka w programie V-SIM.

Methods of injury engineering analysis with the use of numerical biomechanical criteria
The article discusses the biomechanical criteria that may be useful in the quantitative analysis of injuries to road accident participants, e.g. in terms of head, neck, chest, femur and tibia injuries. These criteria are determined on the basis of the analysis of the time characteristics of acceleration, velocity, displacement, as well as forces and moments of forces (different depending on the type of indicator). The discussion of the criteria in this article is based on examples of safety standards in force in Europe, including Regulation 80 of the UN/ECE concerning crash tests in M2, M3 vehicles, Regulation 129 concerning the tests of child seats and the British standard GMRT2100 concerning the safety of passengers in rail transport. The results of simulation tests done by the author of the article were also taken into account. Some of the injury assessment indicators presented will be implemented into the MULTIBODY human body model in the V-SIM program.
Rekonstrukcja potrącenia pieszego, udokumentowanego na nagraniu wideo, przy wykorzystaniu programu Photorect 2.0
Authors: Winiarska Weronika , Kędziora Krzysztof
Published: January 2023

Coraz częściej materiał dowodowy dotyczący wypadku drogowego zawiera filmy z kamer, które stanowią przydatny materiał w pracy biegłego. Analiza zapisanego na nich przebiegu zdarzenia jest najbardziej wiarygodną podstawą odtworzenia wypadku w tym prędkości i działań podejmowanych przez jego uczestników. Efektywne wykorzystanie nagrania wideo do analizy wypadku drogowego wymaga zwykle przeprowadzenia choćby jego wstępnej obróbki, np. wykadrowania i usunięcia niepotrzebnych fragmentów. W celu polepszenia jakości źródłowego materiału wideo w zakresie odwzorowania cech geometrycznych obiektów nagranych na filmie, potrzebne jest dokonanie korekty dystorsji, a następnie ortorektyfikacji. Często niezbędne jest także polepszenie obrazu, poprzez nakładanie na zapis wideo filtrów. Operacje te są możliwe do realizacji z użyciem programu PHOTORECT 2.0, co omówiono w artykule. Przekształcony film wideo, pozbawiony efektu perspektywy, odpowiednio wykadrowany oraz poddany ekstrakcji klatek użyto do przygotowania komputerowej symulacji zdarzenia, zsynchronizowanej z tym filmem.

Reconstruction of a video recorded pedestrian accident, using the Photorect 2.0 software
Increasingly, evidence of a road accident includes video recordings that provide useful material in the work of an expert witness. The analysis of the recorded course of the event is the most reliable basis for accident reconstruction, including the speed and actions taken by the participants. An effective use of a video recording for a road accident analysis usually requires at least its initial processing, e.g. framing and removing unnecessary parts. In order to improve the quality of the source video material in terms of mapping the geometric features of the objects recorded on the film, it is necessary to correct the distortion, followed by orthorectification. It is also often necessary to improve the image by applying filters to the video recording. These operations are possible with the use of Photorect 2.0, which is discussed in the article. The transformed video, post-processed by means of perspective effect elimination, cropping and frame extraction was used for the preparation of a computer simulation of the event, synchronized with this film.
World experience of investing in agriculture: adaptation to modern realities of the Republic of Kazakhstan
Authors:   Khoja  Ahmed  Yasawi    International  Kazakh- Turkish University, Yuksel K. , Nursoydin Mustafa ,   Muğla Sitki Koçman University, Zhumanazarov K. B. ,   Kazakh University of Technology  and Business
Published: January 2023

The goal – is to develop proposals for adapting the world experience in financing agriculture to the realities of Kazakhstani economy. Methods – statistical, comparative analysis, comparison, generalization of results. Results – positive aspects of the world practice of investing in agricultural sector and possibility of using its levers and tools in domestic conditions have been identified. Emphasis is placed on one of the main problems of competitiveness of any state - ensuring self-sufficiency of the national economic system. The features of attracting investments in agro-industrial complex of the republic, current state and trends in expansion of investment activity are analyzed. Measures for the effective management of inv estment processes are proposed. The problems of investment provision of the country's AIC are shown. As a result of the lack of effective market infrastructure, high riskiness, and relatively weak dynamics of making profit from investments, agro-industrial production has a low investment attractiveness, which, in turn, repels a significant part of investment resources to other industries that quickly pay off. The international experience has been studied and directions of public support for agriculture in foreign countries have been determined. Conclusions – in order to attract and develop investment funds, it is necessary to use regulatory methods aimed at improving the effectiveness of investment activities, which must correspond to the appropriate level of economic development of the State. The authors state that the guarantee of food security directly depends on the amount of investment in agricultural sector, which allows creating additional jobs, taking a leading position in the world market, and increasing export potential. Justification of investment policy in each State should be the result of a thoughtful and purposeful choice, taking into account the distinctive features of potential investors and specifics of particular economic situation.
Rural tourism in the Akmola region of Kazakhstan: role in the development of rural areas
Authors:   L.N.  Gumilyov  Eurasian  National  University, Tleubayeva A. , Shokhan R. ,   L.N.  Gumilyov  Eurasian  National  University, Karatayev D. ,   L.N.  Gumilyov  Eurasian  National  University
Published: January 2023

The goal – is to study the current situation in development of rural tourism in the Akmola region of Kazakhstan. Methods – review of the works of foreign and domestic scientists, comparisons, generalizations, SWOT analysis. To select the most effective business models of tourism business in the region, the TOPSIS method was used, based on questionnaire and expert assessment. Results – based on international and Kazakhstani practice regarding the concept of tourism industry, the author's definition of this category is given. The potential of agritourism is highlighted and its role in modernization of agricultural sector of the region is shown, resource opportunities of rural settlements included in its administrative territories, as well as for the spread of other types of tourism, are identified. To date, there are factors that hinder the increase in the volume of eco-tourism services in the republic: low living standards of the rural population, comfortable and high-quality conditions for tourists; limited external communications in rural areas, lack of necessary transport links, sites for leisure activities. To solve the problems of tourism sector, the State is taking a set of measures aimed at increasing the amount of funding, developing new programs, and creating effective mechanisms for public support. Ecotourism has significant reserves for support and growth of small and medium businesses. The authors note that in order to expand the scale of ecotourism, external investments are required, as well as the effective tax system and legal mechanism. Conclusions – as the experience of countries with a developed agritourism sector shows, tourism industry affects the systemic solution of a number of socio-economic issues: improving the welfare and income of rural residents, weakening internal migration processes, creating new jobs and ensuring investment activity.
Market of Kazakhstani organic products: problems of ensuring competitiveness
Authors:   S.Seifullin  Kazakh  Agro  Technical University, Alpeisova Sh. Ye. , Karabasov R. A. ,   S.Seifullin  Kazakh  Agro  Technical  University, Bespayeva R. S. ,   S.Seifullin  Kazakh  Agro  Technical  University
Published: January 2023

Organic agriculture is a new, promising direction for investment, which contributes to increasing the profitability and competitiveness of agricultural sector, new export supply channel, the possibility of attracting specialists to the village, additional source of income for the villagers that solve a number of environmental problems. The great popularity of organic products is that their production does not use chemical fertilizers, artificial additives, growth regulators, genetic engineering methods that have negative impact on human health and safety. The goal - is to present a comprehensive system analysis of the state of organic agriculture and the degree of competitiveness of Kazakhstan environmentally friendly products. Methods – comparative analysis, expert opinions, study of primary data. Results – classical and innovative ways of conducting agricultural production are shown. It was revealed that functioning of ecosystems is interconnected with such global socio-economic issues as sustainable development, climate change, food crises. The key factors that distinguish biological farming from traditional type are identified. A review of the key indicators of organic farming in leading countries has been conducted. The regions with the largest number of ecologically clean agricultural lands are presented. The results of the study were obtained using a system of econometric indicators in traditional and organic production. Conclusions – the market of organic products is one of the fastest growing in the world. The authors come to the conclusion that it is necessary to develop comprehensive universal tools that allow domestic ecological production to be competitive, produce products similar to other countries, and in the future to export ready-made natural food products. Priority should be given to the creation of an appropriate and effective regulatory framework.
PRAVNI ASPEKT KREMIRANjA UMRLIH
Authors:   University of Kragujevac, Faculty of Law, Planojević Nina
Published: January 2023

Funeral of the deceased is one of the most important services of public interest provided by competent public companies. Our legal system foresees two ways in which funerals can be done: as a burial and as a cremation. Since burial is a traditional funeral method legal aspect of which has already been elaborated, the author in this paper analyses cremation as a funeral method which over the past ten years is more often in practice in our country. The first section of the paper deals with regulations and notion of the cremation. In the following three sections, the author elaborates ways in which the law regulates conditions, cremation procedures and methods of keeping cremated remains of the deceased. Based on the analysis, in the conclusion, the author valuates regulations stipulating cremation, specifically identifying those which need to be corrected for the future.
BIBLIOTEKA TIBERIJEVE PALATE
Authors:   University of Kragujevac, Faculty of Law, Vladetić Srdjan
Published: January 2023

Library in the Domus Tiberiana are likely to be the subject of many researches and works of academics. Firstly, because the remains of the complex that Domus Tiberiana has been the integral part of are very modest and there are controversies on its location, development, reconstruction, and expansion. All of those facts are reflecting on the research of the library. There is no physical evidence of its existence, and accordingly of library design and functioning. In the research, it is possible only to lay upon sources from literature. Besides the overview on the history of construction of Domus Tiberiana, this work presents the attempt to answer several questions through the analysis of available sources. Questions such as: Do we talk about the emperor's personal library or the public one? Who were the users? How was it organized? What fields and subjects have been covered with its collection and library materials? When did the library get its name and until when it was operational?
USLUGE BRANIOCA U KRIVIČNOM POSTUPKU
Authors:   University of Kragujevac, Faculty of Law, Stanisavljević Jelena
Published: January 2023

According to the Serbian Advocacy Law, Advocacy is an independent legal aid service. Professional, conscientious and independent performance of the advocacy profession represents one of the basic guarantees in the realization and protection of human freedoms and rights. Due to the position of the defendant when he is charged with the commission of a criminal offence, the importance of advocacy services is particularly pronounced in criminal proceedings. Therefore, the legal services of the defender represent the main subject of analysis of this paper. The author will first present the positive legal provisions that regulate the status of a lawyer, and then she will deal with the right to defence, from which the defendant's right to defender arises. In the central part of the paper, the author will analyze the role of the defender, considering his position and importance in criminal proceedings.
MEDIJSKE USLUGE I SEKSIZAM
Authors:   University of Kragujevac, Faculty of Law, Vučković Jelena
Published: January 2023

Media services are provided in the circumstances of the development of technology and the emergence of a large number of media that are not media in the legal sense of the word. Digitalization and development of the Internet as a platform for communication through which information is exchanged at high speed has brought many advantages but also challenges due to the inability to pre-check content in terms of its truthfulness and accuracy. It is noticeable that the lack of editorial cyontrola has led to an increase in hate speech, discrimination, sexism and other forms of violation of freedom of expression. Sexism as a form of discriminatory perception of gender roles and gender identity is recognized as a particularly dangerous way of creating media content because it is based on stereotypes and generalizations about the roles of women and men in society, which in the long run intensifies inequality and prevents the functioning of democracy as a form of government and organization of state power, at the base of which is the equality of all citizens regardless of their special characteristics. Since the role of the media in society is defined as the role of the "guardian dog" of democratic institutions, it is very important to understand and identify what exactly sexism is, how it is related to the concept of gender equality and how much through media content (non)contributes to the development of a society based on mutual respect and respect for diversity in all its manifestations. In 2021, the Law on Gender Equality was adopted in Serbia, which clearly defines the concepts of gender, gender, equal opportunities of both sexes and defines discrimination on the basis of gender, gender characteristics and gender, which further achieved the positive obligation of the state in the direction of improving the human rights situation in this area. The paper starts from the thesis that in addition to the improved legal regulations in the field of gender equality, and measures to combat and prevent all forms of gender-based violence, violence against women and domestic violence, in practice there has been an increase in this form of discrimination both through the actions of certain institutions of the system and the political establishment, as well as through the actions of the media. That is why it is necessary to improve regulations in the field of media in the direction of defining social media as a media in the legal sense with all the responsibilities that this entails, especially since at the level of the European Union such regulations are adopted. In addition to the provision prohibiting discrimination and hate speech, media laws should also include a provision prohibiting sexism. Of great importance would be preventive action towards the education of media workers and media service providers, as much as the placement of sexist content in the long run is harmful to the state of democratic institutions and human rights of a society.
ELEKTRONSKA UPRAVA U POSEBNIM UPRAVNIM OBLASTIMA
Authors:   University of Kragujevac, Faculty of Law, Jovanovic Zoran
Published: January 2023

Although special administrative procedures are numerous and varied, in this research attention will be focused on only some of them. The selection of special administrative procedures to be analyzed was made according to their importance and frequency in practice. Bearing this in mind, the author looks at the institutes and emergent forms of electronic government in: tax procedure, customs procedure, as well as the procedure related to the state survey and cadastre. Also, the author of the paper will refer to inspection supervision and other special administrative regulations that contain electronic government institutes.
ULOGA RAZVOJNE AGENCIJE SRBIJE U PODSTICANjU INVESTICIJA
Authors:   University of Kragujevac, Faculty of Law, Brasić Stojanović Jovana
Published: January 2023

The Republic of Serbia, like many modern countries, saw the realization of new investments and the arrival of foreign capital on its soil as a way to solve pressing economic problems and overcome the unfavorable financial situation. In order to encourage investment, numerous economic policy measures are taken, various instruments and mechanisms are used, numerous bodies are established with the purpose of contributing to the improvement of the investment climate and facilitating the entire process of realization of the investment project. In order to facilitate the realization of the general interest, the Development Agency of Serbia was established by a special law, whose main fields of activity are investment and export affairs. The Development Agency of Serbia has the legal status of a public agency, and its core activity consists of development, professional and regulatory tasks, which are considered to be more effective than state administration bodies. By providing services of general interest to investors and other economic actors, the Development Agency of Serbia influences the stimulation and direction of economic development. The question of its legal nature and status, although complex, is not questioned, but its competences are broad, bearing in mind the interweaving of the interests of different parties in the field of its activity.