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We extend the second part of \cite{Bre20} on the uniqueness of ancient $\kappa$-solutions to higher dimensions. In dimensions $n \geq 4$, an ancient $\kappa$-solution is a nonflat, complete, ancient solution of the Ricci flow that is uniformly PIC and weakly PIC2; has bounded curvature; and is $\kappa$-noncollapsed. We show that the only noncompact ancient $\kappa$-solutions up to isometry are a family of shrinking cylinders, a quotient thereof, or the Bryant soliton., Comment: final version, to appear G&T

We establish the existence of models of quadric surface bundles with prescribed \'etale local forms., Comment: 13 pages

With the development of compressors towards high speed and multiple columns, the torsional vibration phenomenon has become a major factor affecting the service life and reliability of the shaft system. Therefore, this paper considers the influence of friction between piston and cylinder on the instantaneous inertia of the crank connecting rod mechanism, establishes a nonlinear torsional vibration mechanics model of shale gas compressor shaft system, solves the natural frequency of the shaft system under undamped and damped conditions using the eigenvector method, and investigates the influence of the friction coefficient between piston and cylinder and the operating speed on the torsional vibration response of the shaft system under the self-excitation of the shaft system and the action of and excitation moment by the Runge-Kutta methods. The results show that after considering the friction between the piston and the cylinder, the 2nd order natural frequency of the shaft system shows a "high-low-high" fluctuation pattern; As the friction coefficient increases, the amplitude of the shaft system and the peak vibration speed show a rising trend; Meanwhile, when the speed increases, the vibration of the shaft system changes from chaotic \ period to the proposed periodic state, but the amplitude shows a decreasing trend. The research in this paper aims to improve the theory of nonlinear dynamics of compressor shaft systems, and the determined nonlinear parameters can be used to guide the operation and maintenance of compressors in engineering.

The Fermi paradox has given rise to various attempts to explain why no evidence of extraterrestrial civilisations was found so far on Earth and in our Solar System. Here, we present a dynamical model for the development of such civilisations, which accounts for self-destruction, colonisation and astrophysical destruction mechanisms of civilisations including gamma-ray bursts, type Ia and type II supernovae as well as radiation from the supermassive black hole. We adopt conservative estimates regarding the efficiency of such processes and find that astrophysical effects can influence the development of intelligent civilisations and change the number of systems with such civilisations by roughly a factor of 2; potentially more if the feedback is enhanced. Our results show that non-equilibrium evolution allows for solutions in-between extreme cases such as "rare Earth" or extreme colonisation, including scenarios with civilisation fractions between 10^{-2} and 10^{-7}. These would imply still potentially large distances to the next such civilisations, particularly when persistence phenomena are being considered. As previous studies, we confirm that the main uncertainties are due to the lifetime of civilisations as well as the assumed rate of colonisation. For SETI-like studies, we believe that unbiased searches are needed considering both the possibilities that the next civilisations are nearby or potentially very far away., 8 pages, 6 figures, 1 table. Accepted for publication in the International Journal of Astrobiology

We show that the matter-antimatter asymmetry in the present-day universe is mainly due to the highly suppressed detection probability for the primordial antimatter, which is a direct result of the Dirac-Feynman-Stueckelberg interpretation of antimatter and the extremely time asymmetric expansion of the primordial universe.

In this paper, we study L -congruences and their kernel in a subclass K n , 0 of the variety of Ockham algebras A . We prove that the class of kernel L -ideals of an Ockham algebra forms a complete Heyting algebra. Moreover, for a given kernel L -ideal ξ on A , we obtain the least and the largest L -congruences on A having ξ as its kernel.

The "new standard cosmology", based on the theory of inflation, has very impressive observational support. I review some outstanding problems of the new cosmology and the global view of the universe -- the multiverse -- that it suggests. I focus in particular on prospects for further observational tests of inflation and of the multiverse., Invited talk at TAUP conference, Rome, July 2009

The quantum states of the Kapitza pendulum are described within the effective potential obtained by the method of averaging over the fast oscillations. An analytical estimate of the energy spectrum of stabilized states is given using approximate model potential. For the lowest states of an inverted pendulum, the spectrum is repeduced by the energies of a harmonic oscillator with perturbation theory corrections. Tunneling effect contribution to the energies of resonance states in the double-well effective potential is estimated. The results of numerical simulations of vibrational and rotational spectra of the Kapitza pendulum by the semiclassical method and by the Numerov algorithm are compared.

Modern MEMs gyros/accelerometers allow the angular velocity of pendula to be precisely measured and the angular acceleration to be calculated. For a compound pendulum, [Formula: see text], where a is the distance of the center of mass from the pivot, so the moment of inertia Ip of the compound pendulum about the pivot can be simply derived as [Formula: see text] from measurements of the angular acceleration [Formula: see text] when the pendulum is horizontal. Then mga can be determined by measuring the force and lever arm required to maintain the pendulum in a horizontal position.

This article takes table tennis as the research object, mainly extracts a large number of table tennis video trajectories, and combines the kinematic analysis method to reduce the noise of the extracted target to improve the accuracy of the table tennis trajectory and obtain the table tennis trajectory. The parameter group is used to simulate the trajectory of table tennis; based on the MATLAB environment to realize the table tennis trajectory simulation that provides the initial velocity and coordinates, complete the capture of the table tennis drop point. This article uses the two-dimensional information in the image to estimate the parameter values that form the three-dimensional information and then calculates the three-dimensional information based on the estimated parameter values. The unscented Kalman filter is used to estimate the trajectory parameters and rotation parameters of table tennis, and the algorithm for calculating and updating markers in real time is proposed, which reduces the influence of calculation errors on the estimation process and improves the accuracy of parameter estimation. First, establish a table tennis movement model and choose a suitable model to describe the translation and rotation movement of the table tennis. Then, based on the extended Kalman filter algorithm and the unscented Kalman filter algorithm, the ball flight trajectory estimation algorithm is established. Finally, an actual image acquisition system is built to collect trajectory information and surface information images from the actual table tennis movement. Processing is performed to obtain the positions of the center of the ping pong ball and the marked points on the corresponding sensors. Simulation and experimental results show that the proposed algorithm can effectively estimate the trajectory, linear velocity, and angular velocity parameters of a table tennis ball, and the selection of the initial value has little effect on the algorithm.

Bolts are widely used in the fields of mechanical, civil, and aerospace engineering. The condition of bolt joints has a significant impact on the safe and reliable operation of the whole equipment. The failure of bolt joints monitoring leads to severe accidents or even casualties. This paper proposes a novel bolt joints monitoring method using multivariate intrinsic multiscale entropy (MIME) analysis and Lorentz signal-enhanced piezoelectric active sensing. Lorentz signal is used as excitation signal in piezoelectric active sensing to expose nonlinear dynamical characteristics of the bolt joints. Multivariate variational mode decomposition (MVMD) is employed to decompose multiple components of the collected Lorentz signal into multivariate band-limited intrinsic mode functions (BLIMFs). Afterward, improved multiscale sample entropy (IMSE) values of each channel’s BLIMFs are computed to measure its irregularity and complexity. IMSE values are taken as quantitative features, reflecting dynamical characteristics of bolt joints. Further, the constructed 3-layer feature matrices are adopted as the input of the convolutional neural network (CNN) to achieve accurate bolt joint monitoring. The multiple M1 bolt joints are used during the experiment to verify the effectiveness and superiority of the proposed approach. The results demonstrate the proposed novel approach is promising in bolt joints monitoring.

Accurate evaluation of preload in system with double-bolted connections is critical for the service performance of engineering structures or equipment. However, the theoretical framework for assessing preload is imperfect. An equivalent approach from the tightening process of double-bolted joints to second-order spectral problem of the energy-dependent potential is firstly established. This paper proposes a novel nonlinear model of bolt preload considering physical and geometric parameters by proving the completely integrability of systems used bolted connections. The experimental device for hmeasuring displacement and bolt preload was developed to verify the accuracy of proposed model. Results show that the maximum relative error is not more than 3%. Finally, the influences of elastic modulus, density, holes spacing, and height on preload are analyzed.

This paper presents an explanation of why a spinning football rotates so that the spin axis remains nearly aligned with the velocity vector, and approximately parallel to the tangent to the trajectory. The paper derives the values of the characteristic frequencies associated with the football’s precession and nutation. The paper presents a graphical way of visualizing how the motions associated with these frequencies result in the observed “wobble” of the football. A solution for the linearized dynamics shows that there is a minimum amount of spin required for the motion to be stable and for the football not to tumble. This paper notes the similarity of this problem to that of spun projectiles. The results show that the tendency of a football to align itself with and rotate with the velocity vector is associated with an equilibrium condition with a non-zero aerodynamic torque. The torque is precisely the value required for the football to rotate at the same angular rate as the velocity vector. An implication of this is that a release with the football spin axis and velocity vector aligned (zero aerodynamic torque) is not the condition that results in minimum motion after release. Minimum “wobble” occurs when the ball is released with its symmetry axis slightly to the right or left of the velocity vector, depending on the direction of the spin. There are additional forces and moments acting on the football that affect its trajectory and its stability, but it is not necessary to consider these to explain the tendency of the ball to align with the velocity vector and to ”wobble.” The results of this paper are equally applicable to the spiral pass in American football and the screw kick in rugby.

Ionospheric perturbations induced by tsunamis and earthquakes can be used for tsunami early warning and remote sensing of earthquakes, provided the perturbations are characterized properly to disti...

In reality, a pendulum structure can be used to model many real structures as a ropeway carrier, crane, balloon basket or ships in waves, etc, which often hung on moving points such as cables, wavefronts and balloons, etc. To the best knowledge of the author, however, there is no study to control oscillation of the pendulum structure excited by the hanging point. Therefore, this article deals with the oscillation control of the pendulum structure by using an inverted pendulum-type tuned mass damper, in which the system is subjected to the motion of the hanging point. In particular, the optimal parameters are determined in clear analytical solutions, making it easy for scientists to determine the optimal parameters to suppress the oscillation for the pendulum structure.

In this paper, we propose a multiresidual module convolutional neural network-based method for athlete pose estimation in sports game videos. The network firstly designs an improved residual module based on the traditional residual module. Firstly, a large perceptual field residual module is designed to learn the correlation between the athlete components in the sports game video within a large perceptual field. A multiscale residual module is designed in the paper to better solve the inaccuracy of the pose estimation due to the problem of scale change of the athlete components in the sports game video. Secondly, these three residual modules are used as the building blocks of the convolutional neural network. When the resolution is high, the large perceptual field residual module and the multiscale residual module are used to capture information in a larger range as well as at each scale, and when the resolution is low, only the improved residual module is used. Finally, four multiresidual module convolutional neural networks are used to form the final multiresidual module stacked convolutional neural network. The neural network model proposed in this paper achieves high accuracy of 89.5% and 88.2% on the upper arm and lower arm, respectively, so the method in this paper reduces the influence of occlusion on the athlete’s posture estimation to a certain extent. Through the experiments, it can be seen that the proposed multiresidual module stacked convolutional neural network-based method for athlete pose estimation in sports game videos further improves the accuracy of athlete pose estimation in sports game videos.

This paper presents preliminary experimental results on the influence on the aerodynamic drag of a cylinder from the cylinder type (i.e., rigid or soft) and its textile surface. Both a rigid cylinder and a soft-body cylinder, with a gelatin layer, each with five different textile surfaces were measured in the wind tunnel using force measurement technology. The drag coefficient was determined for several Reynolds numbers. The study shows that the elasticity of a cylinder has a significant influence on the drag force and the airflow type. However, the influence of the soft-body cylinder depends on the respective fabric. With the given measurements, no exact statements can yet be made to quantify the influence. This influence must be studied independently and in conjunction with the textile surface in order to gain understanding of the overall system of airflow, textile and elastic body.

In order to study the opening characteristics of the cruciform drag parachute, the ALE (Arbitrary Lagrange-Euler) fluid-solid coupling method is used to numerically simulate the inflation process of the cross drag parachute. The influence of the calculation domain size and grid densities on the calculation results is discussed, and on this basis, the shape changes of the canopy and the dynamic loading of the parachute are analyzed in detail. The results show that the simulation results of the maximum dynamic load at different opening speeds are consistent with the experiment, the error is within 5%. This can verify the feasibility and accuracy of the simulation method. When the canopy is inflated, the arms are firstly deployed, and then the airflow gathers on the top of the canopy. After being fully extended, it begins to gradually expand outwards until the canopy is completely full. The dynamic load of the drag parachute is significantly affected by the change in the shape of the canopy, and when the canopy is fully opened, the drag parachute reaches the maximum dynamic load.

In this paper, we introduce the notion of an anti vague filter of a BL-algebra with illustration, and obtain some related properties. Further, we investigate some equivalent conditions of anti vague filter.

Unbalance exists widely in rotating electromechanical systems, resulting in vibrations, instability and many other negative influences. In this work, a novel method for unbalance diagnosis of the affiliated rotating chamber in 2-DOF precision centrifuge is proposed. Unlike the widely applied sensor-based unbalance diagnosis methods, the proposed one in this paper investigates the internal relationships between signals in the control loop, involving the driving current of the permanent magnet synchronous motor (PMSM), the disturbance signal of the control loop as well as the unbalance signal of the rotating chamber. By using the unbalance kinematic analysis, two kinematic-mechanical-electric driving current models are established, which are based on the 2-DOF precision centrifuge with uniform motion and uniform acceleration, respectively. Based on the models, the valid information of the unbalance is included in the driving current. Further, a signal analysis procedure, which includes domain conversion and ensemble empirical mode decomposition (EEMD), is presented to calculate the unbalance mass and the phase of the unbalance. Finally, the effectiveness of methods is validated by experiments and simulations.

This paper proposed a calculation method for bolts reinforcement of tunnel face under the seepage condition. The existence of seepage in tunnel engineering may greatly reduce the stability of tunnel face, and bolts reinforcement technology is widely used in traditional tunnel engineering. In this paper, a 3D rotational failure mechanism is proposed by the kinematics method combined with the discretization technique. The pore water pressure was added in the energy calculation based on the empirical distribution formula of water head. The interaction between soil and bolts is simulated by using a finite thickness interaction region. The method was compared with the published works in order to verify the effectiveness. The influence of the bolt length, the bolt strength, the hydraulic head size, the face height and the soil parameters are given in the form of some graph.

Pythagorean fuzzy environment is the modern tool for handling uncertainty in many decisions making problems. In this paper, we represent the notion of Pythagorean fuzzy subgroup (PFSG) as a generalization of intuitionistic fuzzy subgroup. We investigate various properties of our proposed fuzzy subgroup. Also, we introduce Pythagorean fuzzy coset and Pythagorean fuzzy normal subgroup (PFNSG) with their properties. Further, we define the notion of Pythagorean fuzzy level subgroup and establish related properties of it. Finally, we discuss the effect of group homomorphism on Pythagorean fuzzy subgroup.

In 1964, Michael Edelstein presented an amazing affine isometry acting on the space of square-summable sequences. This operator has no fixed points, but a suborbit that converges to 0 while another...

Simulations of free convective heat transfer (HT) and entropy generation (SGen) in a closed enclosure are carried out in this research. Tc is the temperature of the enclosure's top circular wall. A...

The conventional bolts used in surrounding rock tunnels with large deformation often fail. As a solution to this problem, we developed an extensible bolt with energy-absorbing and constant-friction-force (EACF) characteristics. The EACF bolt mainly comprises a damping device, a hollow threaded bolt, a tightening nut, and a face plate. To reveal its working mechanism, the bolt was tested in terms of its friction, displacement, and energy absorption through a modified tensile test device in a laboratory. The static pull-out test results showed that the axial force-displacement curve of the bolt can be mainly divided into three stages: a conical extrusion stage, an elongation stage, and an elastic failure stage. The EACF bolts exhibited stable energy absorption behaviors when subjected to static loading. The maximum constant friction force could be adjusted by increasing the size and diameter of the straight section of the damping block, and the maximum elongation could be adjusted by increasing the length of the damping cylinder. When the properties of the bolt materials are kept constant, increasing the diameter of the damping block can help achieve a high constant resistance. The proposed EACF bolt has reliable deformation and energy-absorption properties, which ensure its stability when employed in tunnels under the combined action of support and surrounding rocks.

Variable nature of solar energy leads to inconsistent performance of photovoltaic systems. Integration of photovoltaic systems with storage and grid mitigates variability issues and helps maximise ...

The behavior of electrical conductivity during the curing of composites based on epoxy resin doped with functionalized single-walled carbon nanotubes (SWNTs) with the application of constant and al...

(Quasi-)one-dimensional systems exhibit various fascinating properties such as Luttinger liquid behavior, Peierls transition, novel topological phases, and the accommodation of unique quasiparticles (e.g., spinon, holon, and soliton, etc.). Here we study molybdenum blue bronze A0.3MoO3 (A = K, Rb), a canonical quasi-one-dimensional charge-density-wave material, using laser-based angle-resolved photoemission spectroscopy. Our experiment suggests that the normal phase of A0.3MoO3 is a prototypical Luttinger liquid, from which the charge-density-wave emerges with decreasing temperature. Prominently, we observe strong renormalizations of band dispersions, which is recognized as the spectral function of Holstein polaron derived from band-selective electron-phonon coupling in the system. We argue that the strong electron-phonon coupling plays a dominant role in electronic properties and the charge-density-wave transition in blue bronzes. Our results not only reconcile the long-standing heavy debates on the electronic properties of blue bronzes but also provide a rare platform to study novel composite quasiparticles in Luttinger liquid materials., 19 pages, 4 figures, accepted by Nature Communications

Let $W$ be an irreducible Coxeter group. We define the Coxeter pop-stack-sorting operator $\mathsf{Pop}:W\to W$ to be the map that fixes the identity element and sends each nonidentity element $w$ to the meet of the elements covered by $w$ in the right weak order. When $W$ is the symmetric group $S_n$, $\mathsf{Pop}$ coincides with the pop-stack-sorting map. Generalizing a theorem about the pop-stack-sorting map due to Ungar, we prove that \[\sup\limits_{w\in W}\left|O_{\mathsf{Pop}}(w)\right|=h,\] where $h$ is the Coxeter number of $W$ (with $h=\infty$ if $W$ is infinite) and $O_f(w)$ denotes the forward orbit of $w$ under a map $f$. When $W$ is finite, this result is equivalent to the statement that the maximum number of terms appearing in the Brieskorn normal form of an element of $W$ is $h-1$. More generally, we define a map $f:W\to W$ to be compulsive if for every $w\in W$, $f(w)$ is less than or equal to $\mathsf{Pop}(w)$ in the right weak order. We prove that if $f$ is compulsive, then $\sup\limits_{w\in W}|O_f(w)|\leq h$. This result is new even for symmetric groups. We prove that $2$-pop-stack-sortable elements in type $B$ are in bijection with $2$-pop-stack-sortable permutations in type $A$, which were enumerated by Pudwell and Smith. Claesson and Gudmundsson proved that for each fixed nonnegative integer $t$, the generating function that counts $t$-pop-stack-sortable permutations in type $A$ is rational; we establish analogous results in types $B$ and $\widetilde A$., 24 pages, 7 figures, to be published in Combinatorial Theory

This study investigates the inelastic displacement of structures subjected to earthquake-tsunami loadings. The relative intensity is defined as the ratio of the tsunami force per unit mass to the S...

The vibration rectification error (VRE) of a pendulous accelerometer is a common problem in engineering applications. It is generally accepted that the accelerometer nonlinearity is the main cause of the VRE, but the nonlinearity reduction is a complicated procedure and is difficult to achieve. In this study, by analyzing the input and output relationship of an accelerometer, the pendulum deflection is also shown to be an important cause of the VRE both theoretically and experimentally. First, in order to ensure that the accelerometer pendulum moves in the linear region, thereby reducing the VRE, a theoretical model of the pendulum deflection angle is established. Next, the factors affecting the pendulum deflection angle are analyzed, and the relationship between the correction network parameters and the pendulum deflection angle is calculated and simulated. To validate the proposed method further, a fixed-frequency vibration experiment is carried out. The pendulum deflection angle and the VRE are physically measured, and the obtained results are consistent with the simulated ones. Further, random vibration experiments simulating real environments are carried out. The results show that with decreasing pendulum deflection angle, the frequency corresponding to the maximum pendulum deflection angle increases, and the VRE decreases. In conclusion, the performed pendulum deflection angle simulation, pendulum deflection angle measurement, and VRE measurement for pendulous accelerometers have a strong correspondence and are easy-to-implement and accurate methods for VRE analysis. In addition, we believe that this procedure can be extended to the study of similar instruments with moving parts.

Over a century has passed since Einstein formulated general relativity, a remarkable theory of gravitation about which he grappled for about a decade following his theory of special relativity. The...

The concept of electromotive force appears in various electromagnetic applications in geophysical and astrophysical fluids. A review of the electromotive force and its applications to the solar wind are discussed such as the electromotive force profile during the shock crossings and the observational tests for the mean-field model against the solar wind data. The electromotive force is being recognized as serving as a useful tool to construct a more complete picture of space plasma turbulence when combined with the energy spectra and helicity profiles.

We numerically studied the conjugate conduction-convection in an enclosure with a circular cylinder placed at the center. The enclosure is differentially heated on its lateral sidewalls but keeps a...

Solar heating and cooling, concentrating solar power and photovoltaic are three solar technologies which harness solar energy. Photovoltaic Technology (PV) is directly converting sunlight into electricity and it is very convenient to use.

This chapter focuses on the inertial sensors and inertial measurement units (IMUs) in context of their operating principles. Inertial sensors are the hardware basis for inertial navigation. Inertial sensors are sensors based on inertia and relevant measuring principles. There are two types of inertial sensors: accelerometers and gyroscopes, measuring the specific forces and rotations, respectively. Accelerometers can typically be categorized into two classes: static accelerometers and resonant accelerometers. Gyroscope is a kind of sensor that measures rotation. Some of the gyroscope classes include mechanical gyroscopes, optical gyroscopes, nuclear magnetic resonance (NMR) gyroscopes, and micro electro mechanical systems vibratory gyroscopes. The chapter introduces some of the commonly used technologies to combine individual inertial sensors into a single IMU. IMU miniaturization approach is through vertical chip stacking. There is no IMU technology that is best for all applications, and therefore, a proper selection of the technology is needed for various application scenarios.

It is proved that if the Navier-Stokes problem is considered in ℝ3 , then the initial velocity has to be zero. This is the paradox. The consequences of this paradox are: a) The NSP is contradictory physically and mathematically; it is not a correct formulation of the problem of motion of the incompressible viscous fluid . b) The solution to the NSP does not exist on [0, ∞). This solves one of the millennium problems.

The drift characteristics in wind of a dead ship that cannot sail on its own are investigated experimentally and theoretically. First, a free-drift test of a bulk carrier model in wind is conducted...

In this article, a Bayesian model averaging approach for hier- archical log-linear models is considered. Posterior model probabilities are approximately calculated for hierarchical log-linear models. Dimension of interested model space is reduced by using Occam's window and Occam's razor approaches. 2002 road traffic accident data of Turkey is analyzed by using the considered approach.

This work examines the problem of planet-centered orbit transfers using solar sail propulsion. Though solar sails offer unlimited ΔV, they place coupled time-dependent restrictions on thrust magnit...

The method for calculating the relaxation properties of polymer textile materials developed using mathematical models allows assessing qualitatively the performance properties of these materials.

This article poses the inverse problem of stabilizing a spherical pendulum in a given position using high-frequency vibration of a suspension point. The position of the pendulum is determined by the angle between the pendulum rod and the vertical. For any given position of the pendulum, we obtain a one-parameter series of oblique vibration characteristics (the amplitude of the vibration velocity and the angle between the vibration velocity vector and the vertical) that stabilize the pendulum in this position. For the series obtained, the domains of attraction are determined; the initial points, from which, under the action of vibration, a given stable position of the pendulum is established.

The fundamental questions of the theory of new gyroscopic sensors based on an elastic axisymmetric resonator, namely, a solid-state wave gyroscope (SWG), in a hemispherical quartz resonator of which simultaneously can excite and exist various working forms (modes) of standing waves of elastic vibrations are discussed. In the proposed study, fundamental questions of the theory of new gyroscopic inertial sensors of orientation from the family of “generalized” Foucault pendulum are considered. The fundamental physical effect underlying the functioning of such devices included in the considered class of free gyroscopes is described. The applied aspects of the implementation of the fundamental theory of a new “generalized” uncontrollable Foucault pendulum in high-precision inertial orientation sensors functioning simultaneously on two operating modes of oscillations are presented. The main ways of realizing a two-mode “generalized” uncontrollable Foucault pendulum in modern engineering solutions of a new generation of precision solid-state wave gyroscopes are proposed.

The article considers the questions of adequacy of mathematical modelling of relaxation processes of polymer textile materials. The developed integral criteria for confidence prediction of relaxation processes of polymer textile materials are based on minimizing the integral functional-convolution corresponding to the defining equation of state. The implementation of the developed criteria for confidence prediction of relaxation processes of polymer textile materials is possible due to their computerization.

Commonness fallacy - milky way

This study looks at the possible relationship between aerodynamic properties of objects and the representational momentum effect.

The raw and processed data and the regression results for my paper The Quantity Theory Remains Alive

Translation materials for: Is a downwards head tilt a cross-cultural signal of dominance? Evidence for a universal visual illusion

This project includes Dynamo scripts for automated data extraction and processing for BIM (developed in Revit) models

This article examines photovoltaics and its development in Uzbekistan. The meaning of the term "photovoltaics" has been studied in detail. There is information on the types of photovoltaic devices, solar energy for transportation and energy transportation. The basic parameters of solar elements are analyzed.