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Generation of particular polarization states of light, encoding information in polarization degree of freedom, and efficient measurement of unknown polarization are the key tasks in optical metrology, optical communications, polarization-sensitive imaging, and photonic information processing. Liquid crystal devices h...
Great case. The tempered glass screen does not cling ... Great case. The tempered glass screen does not cling at all, and it’s too small. I either got the wrong one or I was missing a portion of it. I looked through the instructions very closely and follow them very closely but what I got was the film that was way too...
As part of an ongoing series of deep GMRT surveys we have observed the Spitzer extragalactic First Look Survey field, producing the deepest wide-field 610-MHz survey published to date. We reach an rms noise of 30 microJy/beam before primary beam correction, with a resolution of ~6 arcsec over an area of ~4 square deg...
We study the limit of high activation energy of a special Fokker-Planck equation, known as Kramers-Smoluchowski (K-S) equation. This equation governs the time evolution of the probability density of a particle performing a Brownian motion under the influence of a chemical potential H/e. We choose H having two wells c...
Image inpainting techniques have shown significant improvements by using deep neural networks recently. However, most of them may either fail to reconstruct reasonable structures or restore fine-grained textures. In order to solve this problem, in this paper, we propose a two-stage model which splits the inpainting t...
Coronal loops are fundamental building blocks of the solar active regions and the corona. Therefore, a clear understanding of the physics of coronal loops will help us understand the physics of active region heating in particular and coronal heating in general. This requires a precise measurement of physical quantiti...
I got a box of crumbs!! I love these cookies but when I received the 12 packages they had been packed with the unprotected up side facing down so any time the box hit the ground it broke the cookies and I got a box of badly broken crumbs!!! There was no padding at all in the box 📦!
"Faint" is a song by the American rock band Linkin Park, from their second studio album "Meteora", the song would later be featured on the group's mashup EP, where it was mashed up with lyrics of the song Jigga What from "Vol. 2... Hard Knock Life", is the third studio album, by which American rapper?
Crap stuck on sticky area Unfortunately, my diamond painting arrived with all kinds of crap stuck to the sticky part, under the plastic sheet. This "crap" included dirt, rocks, twine, hair and dust clumps. It was a gift, and I didn't have time to exchange, so I spent hours with needle thin tweezers picking everything ...
The only restriction on the values of the elasticity parameters is the stability condition. Within this condition, we examine Christoffel equation for nondetached $qP$ slowness surfaces in transversely isotropic media. If the $qP$ slowness surface is detached, each root of the solubility condition corresponds to a di...
In this paper, we develop a non-singular continuum theory of point defects based on a second strain gradient elasticity theory, the so-called gradient elasticity of bi-Helmholtz type. Such a generalized continuum theory possesses a weak nonlocal character with two internal material lengths and provides a mechanics of...
So we need to add doctors to the businesses we monitor for respecting our civil right to protect ourselves and our families with firearms, so we can avoid spending our hard-earned money to enrich hoplophobes. If people won't mind their own business we have to cut them out of our lives. Get the app for your phone so y...
I love Brian Yuzna's other work, even cruder stuff like 'Necronomicon', but 'Progeny' was too much even for me. My chief complaint is that it's needlessly exploitative of Jillian McWhirter's nudity, I'm no prude but these nude scenes just drag on and on and on... only to culminate (virtually every time) in a tawdry *wi...
In this paper we study the use of Machine Learning techniques to exploit kinematic information in VH, the production of a Higgs in association with a massive vector boson. We parametrise the effect of new physics in terms of the SMEFT framework. We find that the use of a shallow neural network allows us to dramatical...
Systematic measurements on the rate capability of thin MWPCs operated in Xenon, Argon and Neon mixtures using CO2 as UV-quencher are presented. A good agreement between data and existing models has been found, allowing us to present the rate capability of MWPCs in a comprehensive way and ultimately connect it with th...
We study analytically and numerically the influence of the quasiparticle charge imbalance on the dynamics of the asymmetric Josephson stack formed by two inequivalent junctions: the fast capacitive junction $JJ_{1}$ and slow non-capacitive junction $JJ_{2}$. We find, that the switching of the fast junction into resis...
The layered ternary sp conductor NaAlSi, possessing the iron-pnictide "111" crystal structure, superconducts at 7 K. Using density functional methods, we show that this compound is an intrinsic (self-doped) low-carrier-density semimetal with a number of unusual features. Covalent Al-Si valence bands provide the holes...
We present EDA: easy data augmentation techniques for boosting performance on text classification tasks. EDA consists of four simple but powerful operations: synonym replacement, random insertion, random swap, and random deletion. On five text classification tasks, we show that EDA improves performance for both convo...
In recent years, there has been a proliferation of online gambling sites, which made gambling more accessible with a consequent rise in related problems, such as addiction. Hence, the analysis of the gambling behaviour at both the individual and the aggregate levels has become the object of several investigations. In...
In this paper we propose an approach to homotopical algebra where the basic ingredient is a category with two classes of distinguished morphisms: strong and weak equivalences. These data determine the cofibrant objects by an extension property analogous to the classical lifting property of projective modules. We defi...
We here develop an improved way of using a rotating star as a clock, set it using the Sun, and demonstrate that it keeps time well. This technique, called gyrochronology, permits the derivation of ages for solar- and late-type main sequence stars using only their rotation periods and colors. The technique is clarifie...
We examine the dependence of parton distribution functions (PDFs) on the value of the QCD coupling strength $\alpha_{s}(M_{Z})$. We explain a simple method that is rigorously valid in the quadratic approximation normally applied in PDF fitting, and fully reproduces the correlated dependence of theoretical cross secti...
Finally a comment that considers the plight of this young man that brought him to this place. There are too many like him that start life out in the negative digits. Some people that start life way below others do make it in life & don't become murderers, but I don't think this is the norm. I read about two boys tha...
Worker: Cemu is a Wii U video game console emulator for Microsoft Windows-based personal computers, typically, the emulator updates once every two to four weeks, with supporters of which membership platform that provides business tools for creators to run a subscription content service, as well as ways for artists to b...
Solutions for the fields in a coated cylinder where the core radius is bigger than the shell radius are seemingly unphysical, but can be given a physical meaning if one transforms to an equivalent problem by unfolding the geometry. In particular the unfolded material can act as an impedance matched hyperlens, and as ...
Seams split on side of pouch. Yes, I would [and did] purchase this again despite I found the interior side [back of pouch] seams had split close to the bottom rear. I "repaired' it by melting the loose and exposed nylon edges with my propane torch, and then re-sealed the seams with a waterproof 'cement'. OK, good to g...
Built on a realistic multiband tight-binding model, mirror symmetry is used to map a calcium-intercalated bilayer graphene Hamiltonian into two independent single layer graphene-like Hamiltonians with renormalized hopping. The quasiparticles exhibit two types of chirality. Here a quasi-particle consists of two electr...
Using a definition of the bulk frame within 2d Jackiw-Teitelboim gravity, we go into the bulk from the Schwarzian boundary. Including the path integral over the Schwarzian degrees of freedom, we discuss the quantum gravitational Unruh effect and the Planckian black-body spectrum of the thermal atmosphere. We analyze ...
Cardiff, Wales. A bunch of 5 mates are deeply bored in this town. There's Jip who works in a clothes shop. Coop, an easy-going DJ. Nina, inseparable from her best friend Lulu and Moff. The week is hell for them and they only wait for one thing: the week-end. At this time, they got out to a nightclub and to the sound of...
We propose a quantum heuristic algorithm to solve a traveling salesman problem by generalizing Grover search. Sufficient conditions are derived to greatly enhance the probability of finding the tours with extremal costs, reaching almost to unity and they are shown characterized by statistical properties of tour costs...
Cell experiments with large, short electric field pulses of opposite polarity reveal a remarkable phenomenon: Bipolar cancellation (BPC). Typical defining experiments involve quantitative observation of tracer molecule influx at times of order 100 s post pulsing. Gowrishankar et al. BBRC 2018 503:1194-1199 shows that...
We carry out Direct Numerical Simulation (DNS) of flows in closed rectangular ducts with several aspect ratios. The Navier-Stokes equations are discretized through a second-order finite difference scheme, with non-uniform grids in two directions. The duct cross-sectional area is maintained constant as well as the flo...
Based on analysis of photometric observations of nearby M type stars obtained with ASAS, 31 periodic variables were detected. The determined periods are assumed to be related to rotation periods of the investigated stars. Among them 10 new variables with periods longer than 10 days were found, which brings the total ...
We study the problem of separating a mixture of distributions, all of which come from interventions on a known causal bayesian network. Given oracle access to marginals of all distributions resulting from interventions on the network, and estimates of marginals from the mixture distribution, we want to recover the mi...
Chris Nolan's labyrinth like noir about voyeurism and identity is amazing from start to finish. A first film is as complex as "Memento" or "The Prestige", though maybe a little harder to get a handle on. Still it smacks of originality and creative drive, and has a "twist" as intellectually challenging as it is realisti...
A large amount of research about multimodal inference across text and vision has been recently developed to obtain visually grounded word and sentence representations. In this paper, we use logic-based representations as unified meaning representations for texts and images and present an unsupervised multimodal logic...
With all due respect, you are missing my point. Both sides have chemical weapons, but only ISIS and the Assad regime have been documented as using them. As I specified in my comment, ISIS isn't there. This means this can't be blamed on ISIS. Since al-Nusra Front has no jet fighters, it leaves either the Russians or ...
Very disappointed The bottles I received had been used. There was a water line at the bottom of each bottle. Plus the starfish ornaments where not attached to the bottles as shown. There was glue on the ropes on the bottles where you could tell that they once had been. Very disappointed! These were for my mom and I ha...
The city had it right. There isn't enough use the pool can't exist without subsidies. Go the SARC route and sell yourself to the YMCA, OMC and Jamestown. Would like to know the percent of population using the pool on a regular basis before voting - but am leaning to "No".
High time resolution spectroscopy of roAp stars at large telescopes has led to a major breakthrough in our understanding of magnetoacoustic pulsations in these interesting objects. New observations have allowed to uncover a number of intricate relations between stellar oscillations, magnetic field, and chemical inhom...
Thomson problem is a classical problem in physics to study how $n$ number of charged particles distribute themselves on the surface of a sphere of $k$ dimensions. When $k=2$, i.e. a 2-sphere (a circle), the particles appear at equally spaced points. Such a configuration can be computed analytically. However, for high...
We present a systematic comparison and analysis of four discrete-time, host--parasitoid models. For each model, we specify that density-dependent effects occur prior to parasitism in the life cycle of the host. We compare density-dependent growth functions arising from the Beverton--Holt and Ricker maps, as well as p...
We propose RecSim, a configurable platform for authoring simulation environments for recommender systems (RSs) that naturally supports sequential interaction with users. RecSim allows the creation of new environments that reflect particular aspects of user behavior and item structure at a level of abstraction well-su...
The Kerr spacetime of spinning black holes is one of the most intriguing predictions of Einstein's theory of general relativity. The special role this spacetime plays in the theory of gravity is encapsulated in the no-hair theorem, which states that the Kerr metric is the only realistic black-hole solution of the vac...
Truly unfortunate situations, for life can hand us a rotten deal; but should the child pay the price? No. A woman who is a product of a rape travels the country speaking about how grateful she is her mother did not kill her. We must sometimes take a higher, more difficult road for the good of another.
You mentioned government interference, so lets go there. Look at the deed to your house. The grants you that land for $1 plus additional considerations and you pay annual rent in taxes for government wealth (paid to contrcution companies who build wealth by doing so) in the form of roads and water and sewage systems. Y...
We review the F(R) supergravity recently proposed in Phys. Lett. B674 (2009) 59 and Class. Quantum Grav. 26 (2009) 135006. Our construction supersymmetrizes popular f(R) theories of modified gravity in four spacetime dimensions. We use curved superspace of N=1 Poincar'e supergravity in its minimal (2nd order) formula...
In this paper the problem of recovering an algebraic dynamics in a perturbative approach is discussed. The mathematical environment in which the physical problem is considered is that of algebras of unbounded operators endowed with the quasi-uniform topology. After some remarks on the domain of the perturbation, cond...
Obviously the GET tax would be better as tourists would also pay. We need to get this built. A full investigation needs to be done on why the costs have escalated so much. Not sure what can be done about it but if it is due largely to delays, well, one should think twice before listening to such people in the future...
The recently established universal uncertainty principle revealed that two nowhere commuting observables can be measured simultaneously in some state, whereas they have no joint probability distribution in any state. Thus, one measuring apparatus can simultaneously measure two observables that have no simultaneous re...
Natural wood watch face is nice I love the wooden watch face with hour markers. I don't like the cheap looking band and will be replacing it. Keeps time nicely and not too big for a female wrist. If the band were not so chintzy I would have rated it higher.
Ugh! I order these as a gift. They only sent me one. I contacted Amazon and they sent me two in the mail, but having never returned anything through amazon before, I had asked if they will send me a return mail label, they said yes, but I never got it, so the "one" they sent me, when they should have sent "two" (in my...
Good when they work but ..... I purchased one of the lights just to see how it worked! It seemed fine so I bought 3 more! A week later I am finding that the connection to the Wi-Fi keeps getting lost and then will not recover. So I have to keep resetting the bulbs and then reconnect them to the internet. This is Not w...
Gradient descent finds a global minimum in training deep neural networks despite the objective function being non-convex. The current paper proves gradient descent achieves zero training loss in polynomial time for a deep over-parameterized neural network with residual connections (ResNet). Our analysis relies on the...
Too heavy for helium Bought for a balloon release for my dad and grandpa on father's day. Very heavy material which I thought would mean they were durable, but actually it's just too heavy to float. We checked the helium we bought separately on a standard latex balloon and it flew fine so it was definitely these ballo...
I couldn't believe I spent $14.00 on this. The only redeeming quality is the outrageous gore. The dubbing was worse than any I have ever experienced. It looks like it was shot with a VHS camcorder. I think every pfennig was spent on the special effects because there was a whole lot of blood and body parts everywhere. I...
Pocho do you have a reading comprehension problem? Where did I say that there was any terror committed by the KKK? I said that the vast MAJORITY of terrorist shootings/bombings etc... in this country since 9/11 were perpetrated by RIGHT WING "Christian" extremists. Since 9/11 there were 21 instances of right-wing, whit...
The lateral hypothalamic area (LHA) regulates food intake and energy expenditure. Although LHA neurons innervate adipose tissues, the identity of neurons that regulate fat is undefined. Here we identify that Gabra5-positive neurons in LHA (GABRA5LHA) polysynaptically project to brown and white adipose tissues in the pe...
We investigate the complexity of the Boolean clone membership problem (CMP): given a set of Boolean functions $F$ and a Boolean function $f$, determine if $f$ is in the clone generated by $F$, i.e., if it can be expressed by a circuit with $F$-gates. Here, $f$ and elements of $F$ are given as circuits or formulas ove...
Recent advances in artificial intelligence have been strongly driven by the use of game environments for training and evaluating agents. Games are often accessible and versatile, with well-defined state-transitions and goals allowing for intensive training and experimentation. However, agents trained in a particular ...
This study presents the investigation of the connection between radial electric field, gradient of Reynolds stress and Long Range Correlation (LRC), as a proxy for Zonal Flows (ZF), in different plasma scenarios in the TJ-II stellarator. Monte Carlo simulations were made showing that radial electric fields in the ran...
We discuss the use of parametric phase-diverse phase retrieval as an in-situ high-fidelity wavefront measurement method to characterize and optimize the transmitted wavefront of a high-contrast coronagraphic instrument. We apply our method to correct the transmitted wavefront of the HiCAT (High contrast imager for Co...
We study the properties of graphene wormholes in which a short nanotube acts as a bridge between two graphene sheets, where the honeycomb carbon lattice is curved from the presence of 12 heptagonal defects. By taking the nanotube bridge with very small length compared to the radius, we develop an effective theory of ...
The prospect of detecting relic gravitational waves (RGWs), through their imprint in the cosmic microwave background radiation, provides an excellent opportunity to study the very early Universe. In simplest viable theoretical models the RGW background is characterized by two parameters, the tensor-to-scalar ratio $r...
We show that strong-coupling (SC) of light and matter as it is realized with quantum dots (QDs) in microcavities differs substantially from the paradigm of atoms in optical cavities. The type of pumping used in semiconductors yields new criteria to achieve SC, with situations where the pump hinders, or on the contrar...
The large and growing library of measurements from the Large Hadron Collider has significant power to constrain extensions of the Standard Model. We consider such constraints on a well-motivated model involving a gauged and spontaneously-broken $B-L$ symmetry, within the Contur framework. The model contains an extra ...
The factors limiting the resolution of displacement sensor based on extrinsic Fabry-Perot interferometer were studied. An analytical model giving the dependency of EFPI resolution on the parameters of an optical setup and a sensor interrogator was developed. The proposed model enables one to either estimate the limit...
Edges chip off and leave jagged edges. The edges of this screen protector completely chip off and leave jagged edges. This the second one I've applied in 2 weeks with the same results. When I remove it, the watch screen is perfectly in tact. So I suppose it's doing it's job. If you're a delicate flower and don't bang ...
And you point is? Some things heal slowly. If you really step back the World Crisis for lack of a better word can be tied back the America cultivation and encouragement of violent jihad Islam to use against the Russians in Afghanistan. The world is still paying for that, and looking back we now know it would have bee...
The question whether ferroelectricity (FE) may coexist with a metallic or highly conducting state, or rather it must be suppressed by the screening from the free charges, is the focus of a rapidly increasing number of theoretical studies and is finally receiving positive experimental responses. The issue is closely r...
Good price, but not very durable. I had high hopes for this product after seeing the price and all the good reviews, but unfortunately, the gloves I got did not last a month. They held up ok for about 2.5 weeks, but then holes started appearing. I hate to give a black mark, but the gloves- while comfortable and great ...
The Chiral Perturbation Theory (ChPT) has been very successful in describing low-energy hadronic properties in the non-perturbative regime of Quantum Chromodynamics. The results of ChPT, many of which are currently under active experimental investigation, provide stringent predictions of many fundamental properties o...
We introduce a continuum of dimensions which are `intermediate' between the familiar Hausdorff and box dimensions. This is done by restricting the families of allowable covers in the definition of Hausdorff dimension by insisting that $|U| \leq |V|^\theta$ for all sets $U, V$ used in a particular cover, where $\theta...
We study quantum entanglements induced on product states by the action of 8-vertex braid matrices, rendered unitary with purely imaginary spectral parameters (rapidity). The unitarity is displayed via the "canonical factorization" of the coefficients of the projectors spanning the basis. This adds one more new facet ...
Despite over two decades of intense research efforts, the origin of high-temperature superconductivity in the copper oxides remains elusive. Angle-resolved photoemission experiments (ARPES) revealed a kink in the dispersion relations (energy vs. wavevector) of electronic states in the cuprates at binding energies of ...
Despite the improvements in perception accuracies brought about via deep learning, developing systems combining accurate visual perception with the ability to reason over the visual percepts remains extremely challenging. A particular application area of interest from an accessibility perspective is that of reasoning...
The X(3872) is studied as an axial-vector charmonium state in the multichannel framework of the Resonance-Spectrum-Expansion quark-meson model, previously applied to a variety of other puzzling mesonic resonances. Included are the open-charm pseudoscalar-vector and vector-vector channels, the most important of which ...
Quantum walk research has mainly focused on evolutions due to repeated applications of time-independent unitary coin operators. However, the idea of controlling the single particle evolution using time-dependent unitary coins has still been a subject of multiple studies as it not only hosts interesting possibilities ...
We study a modified version of a model previously proposed by Jackson and Wolinsky to account for communicating information and allocating goods in socioeconomic networks. In the model, the utility function of each node is given by a weighted sum of contributions from all accessible nodes. The weights, parameterized ...
We demonstrate the generation of vortex solitons in a model of dissipative optical media with the singular anti-cubic (AC) nonlinearity, by launching a vorticity-carrying Gaussian input into the medium modeled by the cubic-quintic complex Ginzburg-Landau equation with the additional AC term. The effect of the latter ...
This is a disappointing adaptation of the James Lee Burke novel "In the Electric Mist of the Confederate Dead". It is rather poorly acted mainly due to the miscasting of the principal players. Tommy Lee Jones, a normally fine actor, just doesn't capture Burke's "Dave Robicheaux". As Robicheaux's main nemesis, John Good...
I find Hillary Clinton matching each and every element, as well. D Disregard of feelings of others: See Jennifer Flowers, Monica Lewinski attacks. Lack of remorse or shame: See above and Benghazi. Manipulative behavior: Her entire political career has been devoted to that. Unchecked egocentricity: Hillary 1st, la...
I like all different types of movies, so this is not a bash on romantic movies from a guy who only likes The Matrix etc etc.<br /><br />I just felt it was a lousy movie. I don't feel that there was enough buildup of the characters to fall in love. They were there for a few days and while dealing with a severe hurricane...
Surely US allies are not stupid enough to believe that Trump is anything but erratic and irrational? Any other belief is just wishful thinking. Remember where wishful thinking got the world with George W. Bush. Sometimes it is just necessary to accept that the US President is every bit as incompetent as he appears to b...
We introduce a deep convolutional neural networks (CNN) architecture to classify facial attributes and recognize face images simultaneously via a shared learning paradigm to improve the accuracy for facial attribute prediction and face recognition performance. In this method, we use facial attributes as an auxiliary ...
Physical systems with discrete energy levels are ubiquitous in nature and are fundamental building blocks of quantum technology. Realizing controllable artifcial atom- and molecule-like systems for light would allow for coherent and dynamic control of the frequency, amplitude and phase of photons. In this work, we de...
The author offers a new kind of thermonuclear reflect reactor. The remarkable feature of this new reactor is a three net AB reflector, which confines the high temperature plasma. The plasma loses part of its energy when it contacts with the net but this loss can be compensated by an additional permanent plasma heatin...
Since early 2021, SARS-CoV-2 variants of concern (VOCs) have been causing epidemic rebounds in many countries. Their properties are well characterised at the epidemiological level but the potential underlying within-host determinants remain poorly understood. We analyse a longitudinal cohort of 6,944 individuals with 1...
I had the great pleasure of recently viewing this beautifully filmed wide-screen adaption of the the 1943 stage revival (which unlike the original 1935 production) which included extensive spoken recitatives. This had been the fashion at the time, so to blame the film for an 16 year tradition. The film should be seen i...
The general theory of relativity is used to show that the total energy-mass of the visible Universe could be produced by an energy-mass source with the Planck power. The source was supposedly born at the phase of cosmic inflation and acts continuously throughout the lifetime of our Universe. The model allows one to t...
We introduce the construction of a orthogonal wavepacket basis set, using the concept of stroboscopic time propagation, tailored to the efficient description of non-equilibrium extended electronic systems. Thanks to three desirable properties of this basis, significant insight is provided into non-equilibrium process...
We derive a unique continuation theorem for the vacuum Einstein equations. Our method of proof utilizes Carleman estimates (most importantly one obtained recently by Ionescu and Klainerman), but also relies strongly on certain geometric gauge constructions which make it possible to address this problem via such estim...
Metal-semiconductor interfaces, known as Schottky junctions, have long been hindered by defects and impurities. Such imperfections dominate the electrical characteristics of the junction by pinning the metal Fermi energy. We report measurements on a boron nitride encapsulated graphene-tungsten diselenide (WSe$_2$) Sc...
A novel permutation decoding method for Reed-Muller codes is presented. The complexity and the error correction performance of the suggested permutation decoding approach are similar to that of the recursive lists decoder. It is demonstrated that the proposed decoding technique can take advantage of several early ter...
Accurate control of quantum systems requires precise measurement of the parameters that govern the dynamics, including control fields and interactions with the environment. Parameters will drift in time and experiments interleave protocols that perform parameter estimation with protocols that measure the dynamics of ...
The last few years have seen an explosion of academic and popular interest in algorithmic fairness. Despite this interest and the volume and velocity of work that has been produced recently, the fundamental science of fairness in machine learning is still in a nascent state. In March 2018, we convened a group of expe...
An elliptic curve-based signcryption scheme is introduced in this paper that effectively combines the functionalities of digital signature and encryption, and decreases the computational costs and communication overheads in comparison with the traditional signature-then-encryption schemes. It simultaneously provides ...
We have proposed a density-matrix renormalization group (DMRG) scheme to optimize the one-electron basis states of molecules. It improves significantly the accuracy and efficiency of the DMRG in the study of quantum chemistry or other many-fermion system with nonlocal interactions. For a water molecule, we find that ...
It works.. some times. The first night I slept great! I was ecstatic! The second night, however, I went back to my old routine and couldn't sleep at all. I thought it was a fluke and tried it again.. Essentially, it works some times. Other times, I lay awake and can't sleep. Not good enough for something so pricey.
The solution of the axial U(1) problem, the role of the topology of the gauge group in forcing the breaking of axial symmetry in any irreducible representation of the observable algebra and the theta vacua structure are revisited in the temporal gauge with attention to the mathematical consistency of the derivations....