Bundle Reduction Research Articles

Cellular mechanisms of the lufenuron growth regulator in adults of Anthonomus grandis (Coleoptera: Curculionidae)

Abstract Growth-regulating insecticides are used for several cotton pests when immature, and although not registered for Anthonomus grandis, their use causes a satisfactory population reduction in adults. However, it is not known which mechanisms are involved in this reduction. Thus, we studied which tissue and cellular changes may be involved in this process. Adults were fed with flower buds treated with lufenuron (4 ml commercial product /l) for 24 h. Then, the histology of the gonads, oxidative stress and apoptosis were evaluated after periods of 24 h and 48 h. Our study revealed that lufenuron activates the oxidative stress pathway in A. grandis, causing significant changes at the cellular level. These changes may have been caused by stimulation of the production of oxygen ions, free radicals and hydrogen peroxides, resulting in an increase in lipid peroxidation 48 h after treatment. These effects were confirmed by the presence of histopathologies in the gonads of this pest such as disorganization of the follicular cell epithelium, reduction of the yolk, disappearance of the germinal vesicle, reduction of sperm bundles and cysts. Such alterations injured the gonads and impaired tissue homeostasis. It is concluded that together these factors lead to a desirable population reduction when it comes to managing the pest in the field, because the aim is to keep it below the control level. In addition to this desired effect, it is worth noting that lufenuron is safer when compared to other commonly used products, another feature that makes its use quite interesting.

Unmanned Driving Technology in Coal Mine Based on Semantic Information Method

Aiming at the transportation scheduling problem of unmanned trucks in open-pit mines, an optimization model for transportation scheduling of unmanned trucks in open-pit mines is established, taking the minimum sum of fuel cost, fixed start-up cost, fault maintenance cost and network base station construction and maintenance cost as the objective function, and taking mining amount, crushing amount in crushing field, truck number and truck transportation work as the bundle reduction conditions. By adjusting the position of the encapsulated individual and the optimal encapsulated individual through the parameter position adaptive updating mechanism, the search range of the solution space can be enlarged, so that the algorithm can jump out of the local optimum. This paper analyzes the influence of vehicle clearance on coordinated traffic at intersections under clearance theory, and puts forward the minimum vehicle clearance to meet coordinated traffic. Generate trajectories with behavioral semantics through hierarchical online selection of primitives; Based on the model predictive control algorithm, the motion control module fully considers the execution ability, tracking deviation and control stability of the platform drive motor, and updates the weight coefficient of the control objective function in real time with the help of the semantic attributes of the behavioral motion primitives given by the motion planning, so as to reduce the lateral error, heading error and speed error of the trajectory tracking. Finally, a real vehicle is verified by a medium-sized hybrid unmanned crawler platform, which proves that the proposed intersection coordinated traffic model is feasible in theory, reflecting that the traffic density is a factor that affects the transportation efficiency. Under the condition of meeting the production requirements, reduce the intersection conflict and improve the traffic capacity of the intersection by adopting large-load unmanned mine trucks as much as possible, reducing the number of unmanned mine trucks and the interference between equipment.

Cotangent bundle reduction and Routh reduction for polysymplectic manifolds

We discuss Lagrangian and Hamiltonian field theories that are invariant under a symmetry group. We apply the polysymplectic reduction theorem for both types of field equations and we investigate aspects of the corresponding reconstruction process. We identify the polysymplectic structures that lie at the basis of cotangent bundle reduction and Routh reduction in this setting and we relate them by means of the Routhian function and its associated Legendre transformation. Throughout the paper we provide examples that illustrate various aspects of the results.

Bi-Hamiltonian structure of Sutherland models coupled to two -valued spins from Poisson reduction

We introduce a bi-Hamiltonian hierarchy on the cotangent bundle of the real Lie group , and study its Poisson reduction with respect to the action of the product group U(n) × U(n) arising from left- and right-multiplications. One of the pertinent Poisson structures is the canonical one, while the other is suitably transferred from the real Heisenberg double of . When taking the quotient of we focus on the dense open subset of whose elements have pairwise distinct singular values. We develop a convenient description of the Poisson algebras of the U(n) × U(n) invariant functions, and show that one of the Hamiltonians of the reduced bi-Hamiltonian hierarchy yields a hyperbolic Sutherland model coupled to two -valued spins. Thus we obtain a new bi-Hamiltonian interpretation of this model, which represents a special case of Sutherland models coupled to two spins obtained earlier from reductions of cotangent bundles of reductive Lie groups equipped with their canonical Poisson structure. Upon setting one of the spins to zero, we recover the bi-Hamiltonian structure of the standard hyperbolic spin Sutherland model that was derived recently by a different method.

Strongly semistable reduction of syzygy bundles on plane curves

We investigate degenerations of syzygy bundles on plane curves over p $p$ -adic fields. We use Mustafin varieties which are degenerations of projective spaces to find a large family of models of plane curves over the ring of integers such that the special fibre consists of multiple projective lines meeting in one point. On such models we investigate vector bundles whose generic fibre is a syzygy bundle and which become trivial when restricted to each projective line in the special fibre. Hence these syzygy bundles have strongly semistable reduction. This investigation is motivated by the fundamental open problem in p $p$ -adic Simpson theory to determine the category of Higgs bundles corresponding to continuous representations of the étale fundamental group of a curve. Faltings' p $p$ -adic Simpson correspondence and work of Deninger and the second author shows that bundles with Higgs field zero and potentially strongly semistable reduction fall into this category. Hence the results in the present paper determine a class of syzygy bundles on plane curves giving rise to a p $p$ -adic local system. We apply our methods to a concrete example on the Fermat curve suggested by Brenner and prove that this bundle has potentially strongly semistable reduction.

Locally conformally symplectic reduction of the cotangent bundle

In Stanciu (Ann Global Anal Geom 56:245-275, 2019), we introduced a reduction procedure for locally conformally symplectic manifolds at any regular value of the natural momentum mapping. We use this construction to prove an analogue of a well-known theorem in the symplectic setting about the reduction of cotangent bundles.

Use of the Reduction of Peripartum Racial/Ethnic Disparities Patient Safety Bundle to Influence Nurse-Midwives’ Knowledge, Attitudes, and Perceptions

There is no existing evidence regarding the use of the Alliance for Innovation on Maternal Health (AIM) patient safety bundle (PSB) Reduction of Peripartum Racial/Ethnic Disparities (RPRD). This study examines the knowledge, perceptions, and attitudes of certified nurse midwives (CNMs) practicing in the United States regarding the AIM PSB RPRD. A secondary objective was to identify barriers and facilitators to CNMs’ use of this AIM bundle.

Stability, rheology, and thermophysical properties of surfactant free aqueous single-walled carbon nanotubes and graphene nanoplatelets nanofluids: a comparative study

A comparative study, for the first time, was conducted on thermophysical and rheological properties of single-walled carbon nanotubes (SWCNT) and graphene nanoplatelets (GNP) nanofluids. Highly stable aqueous 0.5, 1.0, and 2.0 wt% SWCNT and GNP nanofluids were successfully prepared with no surfactant, through ultrasound technology. The preparation was explained in detail, adjusting pH to around 8 where nanofluids would be expected to be stable. The highest zeta potential of −60.5 mV was obtained for 2.0 wt% SWCNT nanofluids. Shear thinning was observed for all nanofluids at low shear rates. Unlike shear thickening of GNP, Newtonian behavior of SWCNT nanofluids was detected at high shear rate region. The effect of ultrasound technology was directly verified by scanning electron microscopy (SEM), resulting in GNP size reduction and separation of bundles for SWCNT. The results revealed that SWCNT nanofluids showed a remarkable zeta potential value for heat transfer systems compared to GNP nanofluids.

Singular symplectic cotangent bundle reduction of gauge field theory

We prove a theorem on singular symplectic cotangent bundle reduction in the Fréchet setting and apply it to Yang–Mills–Higgs theory with special emphasis on the Higgs sector of the Glashow–Weinberg–Salam model. For the latter model, we give a detailed description of the reduced phase space and show that the singular structure is encoded in a finite-dimensional Lie group action.

Co-administration of resveratrol and beta-aminopropionitrile attenuates liver fibrosis development via targeting lysyl oxidase in CCl4-induced liver fibrosis in rats

Objectives: In the current study, we aimed to investigate the effect of administration of resveratrol (RES) and beta-aminopropionitrile (BAPN) separately and together on the liver fibrosis progression via regulation of the gene expression and protein level of lysyl oxidase (LOX).Materials and methods: The six-week old Wistar rats received carbon tetrachloride (CCl4) intraperitoneally and RES and BAPN were administrated orally for eight weeks. The hepatoprotective effects of RES, BAPN, and combination treatment were evaluated. Then the hepatic protein and gene expression levels of LOX were measured.Results: Both RES and BAPN showed the antifibrotic effect through the reduction of collagen fiber bundles, hepatic hydroxyproline content, and protein level of LOX. The antifibrotic effect increased when RES and BAPN up-taken together.Conclusion: The co-administration of RES and BAPN can be considered as a promising therapeutic approach via targeting LOX.

Reduction of Bundles, Connection, Curvature, and Torsion of the Centered Planes Space at Normalization

The space Π of centered m-planes is considered in projective space P n . A principal bundle is associated with the space Π and a group connection is given on the principal bundle. The connection is not uniquely induced at the normalization of the space Π . Semi-normalized spaces Π 1 , Π 2 and normalized space Π 1 , 2 are investigated. By virtue of the Cartan–Laptev method, the dynamics of changes of corresponding bundles, group connection objects, curvature and torsion of the connections are discovered at a transition from the space Π to the normalized space Π 1 , 2 .

Singular Cotangent Bundle Reduction and Polar Actions

A conjecture of Lerman, Montgomery and Sjamaar states that two singular symplectic reductions and are isomorphic if M / G is diffeomorphic to N / H as stratified spaces. We confirm this conjecture under the assumptions that the action $$G\times M\rightarrow M$$ is polar with a section N and generalized Weyl group H.

On Cotangent Bundles Hamiltonian Tubes Theorem and Its Some Applications in Reduction Theory

This paper aims to study the Cotangent Bundles Hamiltonian Tubes theorem and its applications in reduction theory. The mathematical analysis method used. And found some results; The theory of reduction of cotangent bundles developed playing an important role in solution of the general problem for reduction a single or bit type cotangent bundles for base manifolds, possibility study of Hamiltonian tubes when the simplistic manifolds is a cotangent bundles, in the concrete case of cotangent bundles there is a strong motivation coming from geometric mechanics and geometric quantization that makes it desirable to obtain explicit fiber local models.

Fibre Length Reduction in Natural Fibre-Reinforced Polymers during Compounding and Injection Moulding—Experiments Versus Numerical Prediction of Fibre Breakage

To establish injection-moulded, natural fibre-reinforced polymers in the automotive industry, numerical simulations are important. To include the breakage behaviour of natural fibres in simulations, a profound understanding is necessary. In this study, the length and width reduction of flax and sisal fibre bundles were analysed experimentally during compounding and injection moulding. Further an optical analysis of the fibre breakage behaviour was performed via scanning electron microscopy and during fibre tensile testing with an ultra-high-speed camera. The fibre breakage of flax and sisal during injection moulding was modelled using a micromechanical model. The experimental and simulative results consistently show that during injection moulding the fibre length is not reduced further; the fibre length was already significantly reduced during compounding. For the mechanical properties of a fibre-reinforced composite it is important to overachieve the critical fibre length in the injection moulded component. The micromechanical model could be used to predict the necessary fibre length in the granules.

Investigating wall-to-bed heat transfer in view of a continuous temperature swing adsorption process

Heat transfer between bubbling fluidized beds and immersed heat exchanger surfaces is studied in view of continuously operated temperature swing adsorption processes for post-combustion CO2 capture. A novel heat transfer measurement test device was used to measure wall-to-bed heat transfer coefficients. The present work focuses on the comparison of experimentally obtained and calculated heat transfer coefficients. Heat transfer at horizontal single tubes and tube bundles immersed in fluidized particle beds of glass beads with 140μm and 200μm in Sauter mean diameter is investigated. It is shown that the experimental results for single tubes are in mediocre agreement to established mathematical models, such as the ones proposed by Natusch et al. (1975) and Molerus et al. (1995), and that heat transfer is significantly influenced by the tube diameter. The model by Petrie et al. (1968) was considered to take the effect of the tube diameter into account, which lead to promising results. Furthermore, measured heat transfer coefficients at tube bundles of different geometries are compared to predictions using the models by Natusch et al. (1975) and Lechner et al. (2013). Some of the tube bundle reduction factors predicted by the model by Lechner et al. (2013) are larger than one, which stands in contrast to the finding that the highest heat transfer coefficients occur at single tubes. However, both models lead to adequate results when calculating heat transfer coefficients for different tube bundle geometries.

Coadjoint orbits in duals of Lie algebras with admissible ideals

We analyze the symplectic structure of the coadjoint orbits of Lie groups with Lie algebras that contain admissible ideals. Such ideals were introduced by Pukanszky to investigate the global symplectic structure of simply connected coadjoint orbits of connected, simply connected, solvable Lie groups. Using the theory of symplectic reduction of cotangent bundles, we identify classes of coadjoint orbits which are vector bundles. This implies Pukanszky's earlier result that such orbits have a symplectic form which is the sum of the canonical form and a magnetic term. This approach also allows us to provide many of the essential details of Pukanszky's result regarding the existence of global Darboux coordinates for the simply connected coadjoint orbits of connected, simply connected solvable Lie groups. Bibliography: 26 titles.

Bundle Reduction and the Alignment Distance on Spaces of State-Space LTI Systems

This paper introduces a large class of differential-geometric distances between finite-dimensional linear dynamical systems, collectively called the alignment distance. Contrary to the existing distances, the alignment distance is based on the state-space description of dynamical systems, and is defined on the manifolds of systems of fixed order and fixed input–output dimension under a matrix rank constraint (e.g., minimality, controllability, or observability). While the quotient topology and principal fiber bundle structure associated with such manifolds have been known since the early days of modern control theory, distances natural to this structure have not been studied. The starting point for defining such a distance is to identify a linear system of order $n$ with its equivalence class of state-space realizations, all related by the so-called similarity action, i.e., state-space change of basis under $GL(n)$ , the Lie group of nonsingular $n \times n$ matrices. The main idea of the alignment distance is to first find the best state-space change of basis that brings a realization of a system “as close as possible” to a realization of another system (the alignment step), and then compare the aligned realizations. A direct implementation of this idea, due to noncompactness of $GL(n)$ , is complicated. However, using the notion of “reduction of the structure group” of a principal bundle, we show that the change of basis can be restricted to an orthogonal change of basis, provided one uses realizations in a reduced subbundle. This key observation brings about significant computational benefits. As a technical contribution (possibly of independent interest), we show that several forms of realization balancing available in the control literature have differential-geometric significance, and are, indeed, examples of reducing the structure group from $GL(n)$ to its subgroup of orthogonal matrices $O(n)$ . The alignment distance can be defined for stable and unstable systems, discrete or continuous-time, and stochastic systems.

A Tannakian approach to dimensional reduction of principal bundles

Let $P$ be a parabolic subgroup of a connected simply connected complex semisimple Lie group $G$. Given a compact K\"ahler manifold $X$, the dimensional reduction of $G$-equivariant holomorphic vector bundles over $X\times G/P$ was carried out by the first and third authors. This raises the question of dimensional reduction of holomorphic principal bundles over $X\times G/P$. The method used for equivariant vector bundles does not generalize to principal bundles. In this paper, we adapt to equivariant principal bundles the Tannakian approach of Nori, to describe the dimensional reduction of $G$-equivariant principal bundles over $X\times G/P$, and to establish a Hitchin--Kobayashi type correspondence. In order to be able to apply the Tannakian theory, we need to assume that $X$ is a complex projective manifold.

Grauert’s line bundle convexity, reduction and Riemann domains

We consider a convexity notion for complex spaces X with respect to a holomorphic line bundle L over X. This definition has been introduced by Grauert and, when L is analytically trivial, we recover the standard holomorphic convexity. In this circle of ideas, we prove the counterpart of the classical Remmert’s reduction result for holomorphically convex spaces. In the same vein, we show that if H 0(X,L) separates each point of X, then X can be realized as a Riemann domain over the complex projective space P n , where n is the complex dimension of X and L is the pull-back of O(1).

Linear duals of graded bundles and higher analogues of (Lie) algebroids

Graded bundles are a class of graded manifolds which represent a natural generalisation of vector bundles and include the higher order tangent bundles as canonical examples. We present and study the concept of the linearisation of graded bundle which allows us to define the notion of the linear dual of a graded bundle. They are examples of double structures, graded-linear ($\mathcal{GL}$) bundles, including double vector bundles as a particular case. On $\mathcal{GL}$-bundles we define what we shall call weighted algebroids, which are to be understood as algebroids in the category of graded bundles. They can be considered as a geometrical framework for higher order Lagrangian mechanics. Canonical examples are reductions of higher tangent bundles of Lie groupoids. Weighted algebroids represent also a generalisation of $\mathcal{VB}$-algebroids as defined by Gracia-Saz & Mehta and the $\mathcal{LA}$-bundles of Mackenzie. The resulting structures are strikingly similar to Voronov's higher Lie algebroids, however our approach does not require the initial structures to be defined on supermanifolds.