Miracle-dz/UniFAR-FTUs huggingface dataset:
Physical, Chemical, and Mechanical Properties of Six Bamboo from Sumatera Island Indonesia and Its Potential Applications for Composite Materials

The suitability of bamboo’s basic characteristics is very important for more specific purposes, such as composite raw materials. Anatomical, physical, mechanical, and chemical characteristics are some of bamboo’s fundamental characteristics. This study analyses the basic properties, such as physical, mechanical, and chemical properties of bamboo from the Forest Area with Special Purpose (FASP) Pondok Buluh Sumatera Island, Indonesia (I); analyses the relationship between the properties of each type of bamboo (II); and chooses the type of bamboo with the best properties that have the potential to be applied to composite materials, such as laminated bamboo (III). This study used materials consisting of six species of bamboo from the FASP Pondok Buluh. The manufacture of physical and mechanical test samples refers to the ISO 22157 standard, 2004, while the chemical properties test refers to the TAPPI 1999 standard. The chemical, physical, and mechanical properties of bamboo vary widely among species. The lowest holocellulose and α-cellulose content were found in the Kuning Bamboo (B. vulgaris var. vittata). The content of holocellulose and α-cellulose causes the lowest density in Kuning Bamboo (B. vulgaris var. vittata). The Dasar Bamboo (Bambusa vulgaris) has the highest levels of lignin. The substances have an impact on moisture content, T/R ratio, and shear strength. The Dasar Bamboo (Bambusa vulgaris) has the lowest moisture content, the highest T/R ratio, and the highest shear strength. However, Betung Bamboo (Dendrocalamus asper) has the highest density in this study. The compressive strength of the Betung Bamboo (Dendrocalamus asper) has the highest value. Therefore, Betung bamboo and Dasar Bamboo in this study were potentially utilized for composite materials, such as laminated bamboo.
Oriental Despotism and the Limits of Doux Commerce, from Montesquieu to Raynal

According to one interpretation, Montesquieu believed that laws should be suited to the particular physical and moral characteristics of a nation, and that political change should not be abruptly imposed. However, as Montesquieu nonetheless condemned despotism, he argued that change in despotic regimes should happen gradually through the noncoercive alternative of doux commerce. My aim is to challenge this interpretation of Montesquieu in two ways. First of all, Montesquieu was far more skeptical about the possibility of political change; so strong was his physical determinism that Montesquieu himself thought that despotic states could not be reformed, even through commerce. Second, even though successors of Montesquieu—such as the Abbé Raynal—did view the use of force in reforming despotic states as futile and preferred commerce as a benign alternative, they had to acknowledge that even commerce could not take root in those supposedly despotic states without coercion. The two most representative doux commerce theorists of the eighteenth century, when confronted with the prevailing trope of Oriental despotism, were far less optimistic about the civilizing effect of commerce than today’s interpretations suggest. My reading of The Spirit of the Laws and The History of the Two Indies suggests the limits of turning to eighteenth-century doux commerce ideals to theorize political reform in so-called despotic governments today.
Low Dimensional Born-Infeld Equations Coupled with a Collisionless Matter Model

We consider the Born-Infeld nonlinear electromagnetic field equations and study its Cauchy problem in the case that the Vlasov equation is considered as a matter model. In the present paper, the Vlasov equation is considered on the so-called one and one-half dimensional phase space, and in consequence the Born-Infeld equations are reduced to a quasilinear hyperbolic system with two unknowns. A transformation is introduced in order to make the field equations easy to handle, and suitable assumptions are made on initial data so that the nonlinearity of the field is controlled.
The phase transition in the multi-type binomial random graph $G(\mathbf{n},P)$

We determine the asymptotic size of the largest component in the $2$-type binomial random graph $G(\mathbf{n},P)$ near criticality using a refined branching process approach. In $G(\mathbf{n},P)$ every vertex has one of two types, the vector $\mathbf{n}$ describes the number of vertices of each type, and any edge $\{u,v\}$ is present independently with a probability that is given by an entry of the probability matrix $P$ according to the types of $u$ and $v. $ We prove that in the weakly supercritical regime, i.e. if the distance to the critical point of the phase transition is given by an $\varepsilon=\varepsilon(\mathbf{n})\to0,$ with probability $1-o(1),$ the largest component in $G(\mathbf{n},P)$ contains asymptotically $2\varepsilon \|\mathbf{n}\|_1$ vertices and all other components are of size $o(\varepsilon \|\mathbf{n}\|_1). $
Splitting theorems for Poisson and related structures

Abstract According to the Weinstein splitting theorem, any Poisson manifold is locally, near any given point, a product of a symplectic manifold with another Poisson manifold whose Poisson structure vanishes at the point. Similar splitting results are known, e.g., for Lie algebroids, Dirac structures and generalized complex structures. In this paper, we develop a novel approach towards these results that leads to various generalizations, including their equivariant versions as well as their formulations in new contexts.
On the Lipschitz equivalence of self‐affine sets

Recently Lipschitz equivalence of self‐similar sets on Rd has been studied extensively in the literature. However for self‐affine sets the problem is more awkward and there are very few results. In this paper, we introduce a w‐Lipschitz equivalence by repacing the Euclidean norm with a pseudo‐norm w. Under the open set condition, we prove that any two totally disconnected integral self‐affine sets with a common matrix are w‐Lipschitz equivalent if and only if their digit sets have equal cardinality. The main methods used are the technique of pseudo‐norm and Gromov hyperbolic graph theory on iterated function systems.
Emotional Regulation Training, internet addiction disorder, and the Moderating Role of Brain-Behavioral Systems: Examination and analysis

The purpose of the current study was to examine the efficacy of emotional regulation training on Internet addiction disorder with the moderating role of brain-behavioral systems. The current research is a quasi-experimental study that employs with a pre-test/post-test design with a control group and a follow-up period for its purposes. The statistical population of the research were Internet using students of the second educational level in Islamshahr in the second half of 2021(15-20 years old girls). The research participants were selected using a convenience purposive sampling and were then randomly assigned to three experimental groups (45 people) and three control groups (45 people). Revised Reinforcement Sensitivity Theory Questionnaire (r-RST), Internet Addiction Inventory and Emotional Regulation Training scale were used to collect the data, which were then analyzed using SPSS v. 22. Findings: The findings indicated that emotional regulation training can significantly alleviate Internet addiction in three groups of behavioral activation system, brain inhibition and fight-flight-or-freeze response systems. Conclusion: The results of the study support the notion of using emotional regulation training to reduce internet addiction disorder in students.
Fruit Wine Obtained from Melon by-Products: Physico-Chemical and Sensory Analysis, and Characterization of Key Aromas by GC-MS

About 20% of fresh fruits and vegetables are rejected for not meeting the superficial aesthetic standards (color, shape, and size). Part of the food production is not used in the human food chain. The transformation of these fresh products into novel re-valuable ones is a challenge for a sustainable food industry. This research studies an alcoholic fermentation fruit-based wine from two melon (Cucumis melo L.) cultivars: Jimbee® (smooth and yellow skin with orange flesh) and Okashi® (netted yellow-orange skin with pale green flesh). The melon juice (must) was fermented by Saccharomyces cerevisiae and enriched in sucrose and organic acids to achieve alcoholic fermentation, acidity, and flavors, obtaining a fruity-flavored and dry melon-based wine with 10° alcoholic grade, in both melon cultivars. The volatile compounds were measured by GC-MS and the odor activity value (OAV) was calculated. The Jimbee and Okashi melon wines increased their aromatic profile due to an increment in medium-chain fatty acid ethyl esters such as ethyl hexanoate, ethyl octanoate, and ethyl decanoate (OAV > 1), which contributed to the fruity aroma. Other volatile compounds such as ethyl 9-decenoate and phenethyl acetate (OAV > 1) appeared in the Okashi wine, which brought a floral aroma. For sensory evaluation (40–100), the Jimbee cultivar, with its orange flesh, scored 68.2 and the Okashi cultivar, with pale green flesh, scored 82.8, which was the preferred melon-based wine. This is an example of a circular economy model to produce a fruit-based wine with commercial potential and satisfactory sensory evaluation.
Moulin Density Controls the Timing of Peak Pressurization Within the Greenland Ice Sheet's Subglacial Drainage System

Links between hydrology and sliding of the Greenland Ice Sheet (GrIS) are poorly understood. Here, we monitored meltwater's propagation through the glacial hydrologic system for catchments at different elevations by quantifying the lag cascade as daily meltwater pulses traveled through the supraglacial, englacial, and subglacial drainage systems. We found that meltwater's residence time within supraglacial catchments—depending upon area, snow cover, and degree of channelization—controls the timing of peak moulin head, resulting in the 2 hr later peak observed at higher elevations. Unlike at lower elevations where peak moulin head and peak sliding coincided, at higher elevations peak sliding lagged peak moulin head by ∼2.8 hr. This delay was likely caused by the area's lower moulin density, which required diurnal pressure oscillations to migrate further into the distributed drainage system to elicit the observed velocity response. These observations highlight the supraglacial drainage system's control on coupling GrIS subglacial hydrology and sliding.
Invertibility via distance for noncentered random matrices with continuous distributions

Let A be an n×n random matrix with independent rows R1(A),…,Rn(A), and assume that for any i ≤ n and any three‐dimensional linear subspace F⊂Rn the orthogonal projection of Ri(A) onto F has distribution density ρ(x):F→R+ satisfying ρ(x)≤C1/max(1,‖x‖22000) (x∈F) for some constant C1>0. We show that for any fixed n×n real matrix M we have P{smin(A+M)≤tn−1/2}≤C′t,t>0, where C′>0 is a universal constant. In particular, the above result holds if the rows of A are independent centered log‐concave random vectors with identity covariance matrices. Our method is free from any use of covering arguments, and is principally different from a standard approach involving a decomposition of the unit sphere and coverings, as well as an approach of Sankar‐Spielman‐Teng for noncentered Gaussian matrices.
Extensions of the Novikov–Furutsu theorem, obtained by using Volterra functional calculus

The Novikov–Furutsu (NF) theorem is a well-known mathematical tool, used in stochastic dynamics for correlation splitting, that is, for evaluating the mean value of the product of a random functional with a Gaussian argument multiplied by the argument itself. In this work, the NF theorem is extended for mappings (function-functionals) of two arguments, one being a random variable and the other a random function, both of which are Gaussian, may have non-zero mean values, and may be correlated with each other. This extension allows for the study of random differential equations under coloured noise excitation, which may be correlated with the random initial value. Applications in this direction are briefly discussed. The proof of the extended NF theorem is based on a more general result, also proven herein by using Volterra functional calculus, stating that: the mean value of a general, nonlinear function-functional having random arguments, possibly non-Gaussian, can be expressed in terms of the characteristic functional of its arguments. Generalizations to the multidimensional case (multivariate random arguments) are also presented.
Arakelov motivic cohomology I

We show that the constructions done in part I generalize their classical counterparts: firstly, the classical Beilinson regulator is induced by the abstract Chern class map from BGL to the Deligne cohomology spectrum. Secondly, Arakelov motivic cohomology is a generalization of arithmetic K-theory and arithmetic Chow groups. For example, this implies a decomposition of higher arithmetic K-groups in its Adams eigenspaces. Finally, we give a conceptual explanation of the height pairing: it is the natural pairing of motivic homology and Arakelov motivic cohomology. The purpose of this work is to compare the abstract constructions of the regulator map and the newly minted Arakelov motivic cohomology groups done in part I (in this issue) with their classical, more concrete counterparts. In a nutshell, Arakelov motivic generalizes and simplifies a number of classical constructions pertaining to arithmetic K- and Chow groups. We show that the Chern class chD :B GL→ � p HD{p} between the spectra representing K-theory and Deligne cohomology constructed in Definition 3.7 1 induces the Beilinson regulator Kn(X) → � p H 2p−n D (X, p)
Large deviation upper bounds for sums of positively associated indicators

We give exponential upper bounds for $P(S \le k)$, in particular $P(S=0)$, where $S$ is a sum of indicator random variables that are positively associated. These bounds allow, in particular, a comparison with the independent case. We give examples in which we compare with a famous exponential inequality for sums of correlated indicators, the Janson inequality. Here our bound sometimes proves to be superior to Janson's bound.
Itô type stochastic differential equations driven by fractional Brownian motions of Hurst parameter

Abstract This paper studies the existence and uniqueness of solution of Itô type stochastic differential equation , where B(t) is a fractional Brownian motion of Hurst parameter and is the Itô differential defined by using Wick product or divergence operator. The coefficients b and are random and anticipative. Using the relationship between the Itô and pathwise integrals we first write the equation as a stochastic differential equation involving pathwise integral plus a Malliavin derivative term. To handle this Malliavin derivative term the equation is then further reduced to a system of characteristic equations without Malliavin derivative, which is then solved by a careful analysis of Picard iteration, with a new technique to replace the Grönwall lemma which is no longer applicable. The solution of this system of characteristic equations is then applied to solve the original Itô stochastic differential equation up to a positive random time. In special linear and quasilinear cases the global solutions are proved to exist uniquely.
Relative dynamical degrees of correspondences over a field of arbitrary characteristic

Abstract Let 𝕂 {\mathbb{K}} be an algebraically closed field of arbitrary characteristic, X and Y irreducible possibly singular algebraic varieties over 𝕂 {\mathbb{K}} . Let f : X ⊢ X {f:X\vdash X} and g : Y ⊢ Y {g:Y\vdash Y} be dominant correspondences, and π : X ⇢ Y {\pi:X\dashrightarrow Y} a dominant rational map which semi-conjugate f and g, i.e. so that π ∘ f = g ∘ π {\pi\circ f=g\circ\pi} . We define relative dynamical degrees λ p ( f | π ) ≥ 1 {\lambda_{p}(f|\pi)\geq 1} for any p = 0 , … , dim ⁡ ( X ) - dim ⁡ ( Y ) {p=0,\dots,\dim(X)-\dim(Y)} . These degrees measure the relative growth of positive algebraic cycles, satisfy a product formula when Y is smooth and g is a multiple of a rational map, and are birational invariants. More generally, a weaker product formula is proven for more general semi-conjugacies, and for any generically finite semi-conjugacy ( φ , ψ ) {(\varphi,\psi)} from π 2 : ( X 2 , f 2 ) → ( Y 2 , g 2 ) {\pi_{2}:(X_{2},f_{2})\rightarrow(Y_{2},g_{2})} to π 1 : ( X 1 , f 1 ) → ( Y 1 , g 1 ) {\pi_{1}:(X_{1},f_{1})\rightarrow(Y_{1},g_{1})} we have λ p ( f 1 | π 1 ) ≥ λ p ( f 2 | π 2 ) {\lambda_{p}(f_{1}|\pi_{1})\geq\lambda_{p}(f_{2}|\pi_{2})} for all p. Many of our results are new even when 𝕂 = ℂ {\mathbb{K}=\mathbb{C}} . Self-correspondences are abundant, even on varieties having not many self rational maps, hence these results can be applied in many situations. In the last section of the paper, we will discuss recent new applications of this to algebraic dynamics, in particular to pullback on l-adic cohomology groups in positive characteristics.
Non-unipotent character sheaves as a categorical centre

Let G be a reductive connected group over the algebraic closure of a finite field. In this paper we give the classification of character sheaves on G in categorical terms (as a categorical centre). Previously such a classification was known for unipotent character sheaves and also in the case where the ground field is replaced by the complex numbers.
CONFORMAL BLOCKS IN TYPE C AT LEVEL ONE

We investigate the behavior of vector bundles of conformal blocks for $sp_{2\ell}$ at level one on $\bar{M}_{0,n}$. We show their first Chern classes are equivalent to conformal blocks divisors for $sl_2$ at level $\ell$ if and only if the corresponding vector bundles have rank one or zero, and all become equal when the Lie algebra $\ell$ is large enough. As a consequence of these results, we conclude the cone generated by these divisors is polyhedral.
Parasitic Effects on Electrical Bioimpedance Systems: Critical Review

Parasitic capacitance represents the main error source in measurement systems based on electrical impedance spectroscopy. The capacitive nature of electrodes’ impedance in tetrapolar configuration can give origin to phase errors when electrodes are coupled to parasitic capacitances. Nevertheless, reactive charges in tissue excitation systems are susceptible to instability. Based on such a scenario, mitigating capacitive effects associated with the electrode is a requirement in order to reduce errors in the measurement system. A literature review about the main compensation techniques for parasitic capacitance was carried out. The selected studies were categorized into three groups: (i) compensation in electronic instrumentation; (ii) compensation in measurement processing, and (iii) compensation by negative impedance converters. The three analyzed methods emerged as effective against fixed capacitance. No method seemed capable of mitigating the effects of electrodes’ capacitance, that changes in the frequency spectrum. The analysis has revealed the need for a method to compensate varying capacitances, since electrodes’ impedance is unknown.
A Fra\"iss\'e theoretic approach to the Jiang--Su algebra

In this paper, we give a Fra\"iss\'e theoretic proof of the result of X. Jiang and H. Su that the Jiang--Su algebra is the unique monotracial simple C*-algebra among all inductive limits of prime dimension drop algebras. We also partially recover the fact that every unital endomorphism of the Jiang--Su algebra is approximately inner.
Partial domination - the isolation number of a graph

We prove the following result: If $G$ be a connected graph on $n \ge 6$ vertices, then there exists a set of vertices $D$ with $|D| \le \frac{n}{3}$ and such that $V(G) \setminus N[D]$ is an independent set, where $N[D]$ is the closed neighborhood of $D$. Furthermore, the bound is sharp. This seems to be the first result in the direction of partial domination with constrained structure on the graph induced by the non-dominated vertices, which we further elaborate in this paper.
HOMFLY-PT homology for general link diagrams and braidlike isotopy

Khovanov and Rozansky's categorification of the HOMFLY-PT polynomial is invariant under braidlike isotopies for any link diagram and Markov moves for braid closures. To define HOMFLY-PT homology, they required a link to be presented as a braid closure, because they did not prove invariance under the other oriented Reidemeister moves. In this text we prove that the Reidemeister IIb move fails in HOMFLY-PT homology by using virtual crossing filtrations of the author and Rozansky. The decategorification of HOMFLY-PT homology for general link diagrams gives a deformed version of the HOMFLY-PT polynomial, $P^{b}(D)$, which can be used to detect nonbraidlike isotopies. Finally, we will use $P^{b}(D)$ to prove that HOMFLY-PT homology is not an invariant of virtual links, even when virtual links are presented as virtual braid closures.
Locally bounded approximate diagonal modulo an ideal of Frechet algebras

For a Banach algebra A and a closed ideal I, the notion of bounded approximate diagonal modulo I has been studied and investigated. In this paper we define the notion of locally bounded approximate diagonal modulo an ideal I for a Frechet algebra A and obtain the relation between amenability modulo an ideal I and the existence of locally bounded approximate diagonals modulo I.
An Example in Complete Intersections and an Erratum

This is essentially an erratum, with some example to indicate inconsistencies. Suppose $A=k[X_1, X_2, \ldots, X_n]$ is a polynomial ring over a field $k$. The Complete Intersection conjecture states that, for any ideal $I$ in $A$, $\mu(I)=\mu(I/I^2)$, where $\mu$ denotes the minimal number of generators. When $k$ is an infinite field, with $1/2\in k$, a proof of this conjecture was claimed recently, which was a consequence of a stronger claim. A counter example of this stronger claim surfaced recently. This note discusses such examples and attempts to provide some clarity to the inconsistencies in the literature.
De Giorgi’s approach to hyperbolic Cauchy problems: The case of nonhomogeneous equations

ABSTRACT In this paper we discuss an extension of some results obtained by Serra and Tilli, in 2012 and 2016, concerning an original conjecture by De Giorgi on a purely minimization approach to the Cauchy problem for the defocusing nonlinear wave equation. Precisely, we show how to extend the techniques developed by Serra and Tilli for homogeneous hyperbolic nonlinear PDEs to the nonhomogeneous case, thus proving that the idea of De Giorgi yields in fact an effective approach to investigate general hyperbolic equations.
Pattern formation for colloidal systems

In this paper we study pattern formation for a local/nonlocal interaction functional where the local attractive term is given by the $1$-perimeter and the nonlocal repulsive term is the Yukawa (or screened Coulomb) potential. This model is physically interesting since close to those used in simulations to model pattern formation in colloidal systems \cite{APC1,APC2, CCA, Bores}. Following a strategy introduced in~\cite{DR} we prove that in a suitable regime minimizers are periodic stripes, in any space dimension. Doing so, we are able to prove pattern formation for a physical continuous model which is symmetric w.r. t. permutation of coordinates.