Small World (2021)
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It leads with the abduction of a 4-year old girl from a small town in Poland, near to the border with Russia, after which it very quickly becomes a story of global human trafficking, with the screen populated by some vile and utterly repulsive characters.
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This year marks the 47th annual photomicrography competition from Nikon Instruments Inc, the world's longest-running microscopy image competition, and the winners are as bewilderingly stunning as ever.
Capturing this kind of image is no small feat, no pun intended. Jason took this image using a custom-made microscope system that snapped around 200 individual images of the leaf and stacked them together. It also required a complex arrangement of both transmitted and reflected light to highlight all three planet structures. The image was then subtle tweaked in post-production to further bring out these features.
While classical spin systems in random networks have been intensively studied, much less is known about quantum magnets in random graphs. Here, we investigate interacting quantum spins on small-world networks, building on mean-field theory and extensive quantum Monte Carlo simulations. Starting from one-dimensional (1D) rings, we consider two situations: all-to-all interacting and long-range interactions randomly added. The effective infinite dimension of the lattice leads to a magnetic ordering at finite temperature Tc with mean-field criticality. Nevertheless, in contrast to the classical case, we find two distinct power-law behaviors for Tc versus the average strength of the extra couplings. This is controlled by a competition between a characteristic length scale of the random graph and the thermal correlation length of the underlying 1D system, thus challenging mean-field theories. We also investigate the fate of a gapped 1D spin chain against the small-world effect.
Colour, texture, and shape sublimely intermingle in the world outside my window. Mottled green vines grow in a tangle punctuated by shiny red orbs of cherry tomatoes. Scalloped leaves drift to the ground as the wind rustles the tree branches. But gazing at this tableau, I know another visual feast hides in plain sight: the world of the tiny.
After disappearing from a small Polish town, a mother discovers her 4-year old daughter, Ola, has been abducted by the Russian Mafia. In pursuit of her daughter, she is stopped for speeding by a police officer, Robert Goc. His intervention results in the escape of the kidnappers across the Eastern border. Feeling guilt for failing to prevent the abduction, Robert becomes engaged in an international investigation to find the missing girl.
Students at a dozen of the smaller universities gave us an insight into their student life (see below), and it seems that this positive view of smaller schools is echoed by students from Paris to South Korea.
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Jason Kirk, director of a microscope-imaging facility at Baylor College of Medicine, likes to tinker with microscopes and use them to photograph things from his backyard. To create the above image, he illuminated a leaf's small-scale structures with a customized microscope. Kirk captured about 200 images then stacked them on top of each other to create this vibrant portrait.
\"Nikon Small World was created to show the world how art and science come together under the microscope. This year's first-place winner could not be a better example of that blend,\" Eric Flem, a communications manager at Nikon Instruments, said in a press release.
We find that mutual funds whose managers are socially connected with firm auditors hold more shares of these firms and generate superior portfolio returns. Cross-sectional results reveal that the relation between social connections and mutual fund stockholdings is more pronounced: when the social connections are stronger; when the auditor is in a better position or has stronger incentives to acquire private information; when the fund manager exercises more power; for small audit firms; for auditors in areas with poor investor protection; and for public firms with greater business opacity or private information. Other results are consistent with fund managers electing to schedule their corporate site visits to coincide with the fieldwork of their connected auditors, as would be expected if fund managers time their visits to meet with these auditors to facilitate information transfer. Additionally, we observe associations between fund trading prior to earnings surprises and audit opinions, and the presence of social connections between fund managers and firm auditors. Finally, we show that mutual funds and firms in which they invest tend to appoint connected auditors and pay them higher fees. Collectively, we document empirical patterns that would arise if socially connected auditors and mutual fund managers share information.
Inside the Magic consists of multiple writers & videographers living near both Disneyland and Walt Disney World theme parks and around the world. This allows us to bring you the most interesting, entertaining, and unique entertainment experiences, covering theme parks, movies, TV, video games, and special events.
Pandemic with mutation and permanent immune spreading in a small-world network described is studied by a modified SIR model, with consideration of mutation-immune mechanism. First, a novel mutation-immune model is proposed to modify the classical SIR model to simulate the transmission of mutable viruses that can be permanently immunized in small-world networks. Then, the influences of the size, coordination number and disorder parameter of the small-world network on the spread of the epidemic are analyzed in detail. Finally, the influences of mutation cycle and infection rate on epidemic transmission in small-world network are investigated further. The results show that the structure of the small-world network and the virus mutation cycle have an important impact on the spread of the epidemic. For viruses that can be permanently immunized, virus mutation is equivalent to making the immune cycle of human beings from infinite to finite. The dynamical behavior of the modified SIR epidemic model changes from an irregular, low-amplitude evolution at small disorder parameter to a spontaneous state of wide amplitude oscillations at large disorder parameter. Moreover, similar transition can also be found in increasing mutation cycle parameter. The maximum valid variation mutation decreases with the increase of disorder parameter and coordination number, but increase with respect to system size. In addition above, as the infection rate increases, the fraction of the infected increases and then decreases. As the mutation cycle increases, the time-average fraction of the infected and the infection rate corresponding to the maximum time-average fraction of the infected also decrease. As one conclusion, the results could give a deep understanding Pandemic with mutation and permanent immune spreading, from viewpoint of small-world network.
To understand the spread of disease and identify possible outbreak control methods, it is necessary to study the impact of population structure and contact network on virus transmission. Each individual in the population is regarded as a node, and the interaction between nodes can be described by complex network. Pathogens attach to nodes and spread in the network through the interaction of nodes. In recent years, the mathematical modeling of network dynamics process has produced a large number of results, which help to understand the complexity of epidemic waves and predict the consequences and risks of spreading diseases [9,10,11]. One of the important attributes of the contact network on virus transmission is the small-world property, which appears in many socio-spatial real-world networks [12]. Small-world property refers to the fact that individual nodes are frequently connected in its local space, but they are also connected to distant nodes through a small number of intermediate nodes. Watts and Strogatz proposed the first small-world network model, which exists in the network spectrum between completely random and completely regular network models, and has the high clustering of regular network and the high connectivity of random network [13]. Numerous studies have shown that small-world network is a ubiquitous infrastructure, which exists in all kinds of real-world networks, including social [14], information [15], technology and biological networks [16].
Small-world network is especially suitable for describing the spatial relationship between hosts in the process of virus transmission [17]. Small et al. [18] used the small-world network model to analyze SARS and proved that this structure can reliably generate quantitative simulations similar to real data. The small world network model not only captures the obvious random fluctuations in the SARS reporting data in Hong Kong, but also reproduces small outbreaks due to the so-called super-spreaders. Wang et al. [19] studied the synchronization problem of continuous time dynamical system networks with small-world connections. Li et al. [20] introduced a nonlinear SIQS epidemic model based on small-world network. By using complex network theory and Lyapunov function, the basic reproduction number and global stability of disease-free equilibrium and endemic equilibrium are obtained. In addition to these studies, there are also a large number of studies using small-world network to study the epidemic [21,22,23,24,25]. 59ce067264