Hegel’s ‘science of right’ is a philosophical account of spirit’s ‘world’. Accordingly, in this essay, I propose to take it as the model of what I call a ‘political cosmology’. In Hegel’s dialectic-speculative philosophy, cosmology becomes a practical, worldly science. It becomes the account of the ways in which spirit immanently constructs, produces and comes to know its own world and itself as the actuality of the world.

In Chung–Lu random graphs, a classic model for real-world networks, each vertex is equipped with a weight drawn from a power-law distribution, and two vertices form an edge independently with probability proportional to the product of their weights. Chung–Lu graphs have average distance $O(\log\log n)$ and thus reproduce the small-world phenomenon, a key property of real-world networks. Modern, more realistic variants of this model also equip each vertex with a random position in a specific underlying geometry. The edge probability of two vertices then depends, say, inversely polynomially on their distance.

In this paper we study a generic augmented version of Chung–Lu random graphs. We analyze a model where the edge probability of two vertices can depend arbitrarily on their positions, as long as the marginal probability of forming an edge (for two vertices with fixed weights, one fixed position, and one random position) is as in a Chung–Lu random graph. The resulting class contains Chung–Lu random graphs, hyperbolic random graphs, and geometric inhomogeneous random graphs as special cases.

Our main result is that every random graph model in this general class has the same average distance as a Chung–Lu random graph, up to a factor of $1+o(1)$. This shows in particular that specific choices, such as taking the underlying geometry to be Euclidean, do not significantly influence the average distance. The proof also shows that every random graph model in our class has a giant component and polylogarithmic diameter with high probability.

A compact dual layer conformal wearable quad band antenna is proposed for wireless body area network applications. The proposed button like patch antenna resonates at 2.5 GHz (industrial, scientific, and medical bands)/3.6 GHz sub six 5G band/5.75 GHz (wireless local area network/ISM band)/ and 9.8 GHz (X band) frequencies. The circular textile antenna is constructed with jean and polydimethylsiloxane substrate having a slotted ground of radius 10 mm and thickness 1.5 mm. The simulated gains obtained at the operating bands are 1.85/2.03/1.49/3.27 dBi, respectively. The designed antenna’s directed radiation pattern assures reduced backward radiation to body tissue. The specific absorption rate (SAR) analysis for the antenna at multiple resonant frequencies has also been reported, which are well below the SAR threshold of 1.6 W/kg for 1 gm of tissue, indicating that the model works adequately for wearable applications. The experimental characterization on- and off-body of the fabricated antenna validates the simulated results.

Treating images as data has become increasingly popular in political science. While existing classifiers for images reach high levels of accuracy, it is difficult to systematically assess the visual features on which they base their classification. This paper presents a two-level classification method that addresses this transparency problem. At the first stage, an image segmenter detects the objects present in the image and a feature vector is created from those objects. In the second stage, this feature vector is used as input for standard machine learning classifiers to discriminate between images. We apply this method to a new dataset of more than 140,000 images to detect which ones display political protest. This analysis demonstrates three advantages to this paper’s approach. First, identifying objects in images improves transparency by providing human-understandable labels for the objects shown on an image. Second, knowing these objects enables analysis of which distinguish protest images from non-protest ones. Third, comparing the importance of objects across countries reveals how protest behavior varies. These insights are not available using conventional computer vision classifiers and provide new opportunities for comparative research.

The generalist predatory mite, Neoseiulus cucumeris (Oudemans) (Acari: Phytoseiidae) is one of the most effective biocontrol agents to control the pests of many crops in indoor cultivations. In this study, the effects of the enriched diets of the second trophic level, i.e. the stored-product mite, Tyrophagus putrescentiae (Schrank) on the performance of N. cucumeris as the third trophic level was determined in a tritrophic system. In the first step, different pollens including almond, maize, date palm, castor bean, saffron, and cattail or different legume flours including pinto bean, lentil, black-eyed pea, chickpea, mung bean and broad bean as enrichment additives were added to the basic diet, i.e. a mixture of wheat bran and flour as a basic diet of T. putrescentiae. In the second step, to reveal the effects of the mentioned additives on the performance of N. cucumeris, the demographic parameters of the predator were determined when it was fed with the prey enriched with the additives. Our results indicated that N. cucumeris had higher performance by feeding on the prey reared on diets enriched by either pollens or legumes compared with the basic diet. Overall, there was no significant difference between pollen grains and some legume flours when the predatory mite was fed with them through its prey. Since legumes are more available and cost-effective food sources than pollens, they can be affordable supplementary diets for the mass rearing of N. cucumeris.

This paper traces discourse and practices among Jewish communal leaders in Western Europe and the United States regarding the need for Jewish missions to China and Ethiopia. Though thousands of miles apart, China and Ethiopia became closely entwined in their racial imagination. Beginning in the 1840s, the Jewish international press depicted both as biblical lost tribes, languishing in isolation and ignorance, and in need of a guiding hand with the mounting threat of Christian missionizing. Jewish communal leaders began to call for Jewish missions in the 1850s, and they looked to contemporary scientific, evangelical, and civilizing missions as models, merging elements from all three. Throughout the 1860s, in debates over who should lead a Jewish mission, three different types surfaced: an explorer, rabbinic emissary, and Orientalist. Each of these reframed prophetic calls for the return of the lost tribes within a modern scientific and imperial project. Drawing on the work of Sylvia Wynter, I argue that these communities in China and Ethiopia came to serve as boundary markers, demarcating the outer limits of the Jewish world, of Jewishness, and Judaism as it became increasingly circumscribed through theological, behavioral, and racial norms. Not only does this upend assumptions about Jewish solidarity and internationalism, but it also points to how missionizing was deployed by minoritized communities in the nineteenth century.

On January 1, 2024, an earthquake with a maximum seismic intensity of 7 struck the Noto Peninsula in Ishikawa Prefecture, Japan, causing significant casualties and displacement. The Noto Peninsula has a high aging rate, with 49.5% of its population aged 65 or older. This case study focuses on a 68-year-old woman who developed aspiration pneumonia after being admitted to a welfare shelter. The case highlights the challenges of managing chronic medical care during disasters, particularly for the elderly.

Prior observational studies have reported the potential protective effect of n-3 fatty acids on the prognosis of acute pancreatitis (AP). However, the causal impact of n-3 fatty acids on AP is unclear. We aimed to investigate further the association of n-3 fatty acids with AP. We performed a meta-analysis and Mendelian randomisation (MR) to explore the association between n-3 fatty acids and the prognosis of AP from clinical observation and genetics perspectives, respectively. Nine randomised controlled trials were included in this study. The result meta-analysis showed that complementary therapy of n-3 fatty acids significantly decreased mortality (Relative Risk (RR): 0·30; 95 % CI 0·14, 0·65, P < 0·05) and infectious complications in AP (RR: 0·45; 95 % CI 0·27, 0·77, P < 0·05). Compared with the control groups, the hospital stays (MD: −1·02; 95 % CI −1·85, −0·20, P < 0·05) in AP patients with n-3 fatty acids treatment were statistically reduced. However, the ICU stay (MD: −0·49; 95 % CI −1·29, −0·31, P > 0·05) between control groups and AP patients with n-3 fatty acids treatment was insignificant. Utilising genetic susceptibility analysis in the MR approach, the MR showed n-3 fatty acids have a significant causal effect on the AP risk (OR, 0·887; 95 % CI 0·797, 0·986, P = 0·027, fixed-effect; OR, 0·887; 95 % CI 0·792, 0·993, P = 0·037, random-effect). n-3 fatty acids complementary therapy may improve the prognosis of AP. Furthermore, genetically predicted serum levels of n-3 fatty acids can significantly lower AP risk.

Existential happiness is happiness that one has a basic life at all. Having a basic life, as I understand it, involves being the subject of experiences and being an agent in some minimal sense. As I argue, existential happiness is a fitting response to having a basic life. To make this argument, I look at two possible accounts of the fittingness of existential happiness: the value of a basic life and attachment to the constitutive elements of one’s life. I also consider a few possible sources of existential happiness, including encounters with death, counterfactual thinking, and hedonically positive feelings of awe directed toward one’s own consciousness.

Let $\hat {\mathbb {R}}^n$ be the one-point compactification of $\mathbb {R}^n$ obtained by adding a point at infinity. We say that a subset $A\subseteq \hat {\mathbb {R}}^n$ is $\mathbf {u}$-convex if for every pair of points $\mathbf {z}_1, \mathbf {z}_2 \in A$, the arc of the unique circle through $\mathbf {u}, \mathbf {z}_1$ and $\mathbf {z}_2$, from $\mathbf {z}_1$ to $\mathbf {z}_2$ and not containing $\mathbf {u}$, is contained in A. In this case, we call $\mathbf {u}$ a pole of A. When the pole $\mathbf {u}$ approaches infinity, $\mathbf {u}$-convex sets become convex in the classical sense.

The notion of polar convexity in the complex plane has been used to analyze the behavior of critical points of polynomials. In this paper, we extend the notion to finite-dimensional Euclidean spaces. The goal of this paper is to start building the theory of polar convexity and to show that the introduction of a pole creates a richer theory. For example, polar convexity enjoys a beautiful duality (see Theorem 4.3) that does not exist in classical convexity. We formulate polar analogues of several classical results of the alternatives, such as Gordan’s and Farkas’ lemmas; see Section 5. Finally, we give a full description of the convex hull of finitely many points with respect to finitely many poles; see Theorem 6.7.

To investigate the potential application of replacing a proportion of a perennial ryegrass (PRG) silage diet with press cake on productivity and enteric methane (CH4) emissions in late lactation and non-lactating spring-calving dairy cows, a study was undertaken in which control cows (n = 21) were offered PRG silage, while treatment cows (n = 21) were offered a diet consisting of 60% PRG press cake and 40% of the same PRG silage. Although treatment cows had higher group average dry matter intakes (DMI) and produced more enteric CH4, carbon dioxide (CO2), milk solids, protein, fat- and protein-corrected milk yield (FPCM) in late lactation, the magnitude of the difference between treatment and control cows varied from week to week (P < 0.050). When enteric CH4 per kg of milk yield, milk solids and FPCM were considered, there was no significant difference between treatment and control. Absolute enteric CH4 was higher for cows fed press cake during the non-lactating period but this tended to vary from week to week. Similarly, CO2 (P < 0.001) and hydrogen (H2; P = 0.023) differed from week to week for cows offered press cake, and cows offered PRG silage in the non-lactating period. Although there was no significant effect of diet on body weight (BW) and body condition score (BCS), when enteric CH4 was expressed on a per kg BW basis, cows offered press cake tended to produce more enteric CH4 in both late lactation and during the dry period.

Inspired by developments in artificial intelligence, space engineering, and genetics, discussion of post-human visions of the future is now widespread, especially in the tech world. This reflective essay analyses various ideological configurations of “transhumanism,” a body of thought centred on the pursuit of radical human improvement through technoscientific intervention. It focuses on the political values and world-making projects transhumanists have advocated since the early twentieth century. We argue that transhumanism constitutes a significant strand of international political thought: transhumanists have articulated extraordinarily ambitious visions of global order. Through analysing the work of key transhumanists from the interwar era to the present, we show that assorted socialist and liberal iterations have aimed to overcome the irrationality of a state-centric international order, with projects ranging from Marxist accounts of a world state to anarcho-capitalist visions of market order through to dreams of space colonization. Analysing transhumanist world-making visions helps to clarify the political ideas underlying current techno-utopian projects and debates about existential risks to humanity.

We consider the performance of Glauber dynamics for the random cluster model with real parameter $q\gt 1$ and temperature $\beta \gt 0$. Recent work by Helmuth, Jenssen, and Perkins detailed the ordered/disordered transition of the model on random $\Delta$-regular graphs for all sufficiently large $q$ and obtained an efficient sampling algorithm for all temperatures $\beta$ using cluster expansion methods. Despite this major progress, the performance of natural Markov chains, including Glauber dynamics, is not yet well understood on the random regular graph, partly because of the non-local nature of the model (especially at low temperatures) and partly because of severe bottleneck phenomena that emerge in a window around the ordered/disordered transition. Nevertheless, it is widely conjectured that the bottleneck phenomena that impede mixing from worst-case starting configurations can be avoided by initialising the chain more judiciously. Our main result establishes this conjecture for all sufficiently large $q$ (with respect to $\Delta$). Specifically, we consider the mixing time of Glauber dynamics initialised from the two extreme configurations, the all-in and all-out, and obtain a pair of fast mixing bounds which cover all temperatures $\beta$, including in particular the bottleneck window. Our result is inspired by the recent approach of Gheissari and Sinclair for the Ising model who obtained a similar flavoured mixing-time bound on the random regular graph for sufficiently low temperatures. To cover all temperatures in the RC model, we refine appropriately the structural results of Helmuth, Jenssen and Perkins about the ordered/disordered transition and show spatial mixing properties ‘within the phase’, which are then related to the evolution of the chain.

Fossil egg capsules of chimaeroids (holocephalian fishes), although rare, have been known for more than 150 years (Bessels, 1869; Meunier, 1891a) and have been found in rocks as old as Upper Triassic (Gottfried and Fordyce, 2014). Egg capsules of extant chimaeroids are spindle shaped, with a smooth central body where the embryo develops, an elongate anterior beak through which the hatchling emerges, and an elongate posterior pedicle. The capsules are flanked by a lateral membrane or web on both sides, and the web is reinforced with branching or unbranching rib-like costae that extend laterally from the central body, beak, and pedicle. Specimens are typically about 10–30 cm long. Egg capsules of extant chimaeroids are made of collagen (Hamlett et al., 2005) and as fossils, chimaeroid egg capsules are typically preserved as external casts (Fischer et al., 2014).

We introduce a generalization of sequential compactness using barriers on $\omega $ extending naturally the notion introduced in [W. Kubiś and P. Szeptycki, On a topological Ramsey theorem, Canad. Math. Bull., 66 (2023), 156–165]. We improve results from [C. Corral and O. Guzmán and C. López-Callejas, High dimensional sequential compactness, Fund. Math.] by building spaces that are ${\mathcal {B}}$-sequentially compact but not ${\mathcal {C}}$-sequentially compact when the barriers ${\mathcal {B}}$ and ${\mathcal {C}}$ satisfy certain rank assumption which turns out to be equivalent to a Katětov-order assumption. Such examples are constructed under the assumption ${\mathfrak {b}} ={\mathfrak {c}}$. We also exhibit some classes of spaces that are ${\mathcal {B}}$-sequentially compact for every barrier ${\mathcal {B}}$, including some classical classes of compact spaces from functional analysis, and as a byproduct, we obtain some results on angelic spaces. Finally, we introduce and compute some cardinal invariants naturally associated to barriers.

In this article, we study the following Schrödinger equation

\begin{align*}\begin{cases}-\Delta u -\frac{\mu}{|x|^2} u+\lambda u =f(u), &\text{in}~ \mathbb{R}^N\backslash\{0\},\\\int_{\mathbb{R}^{N}}|u|^{2}\mathrm{d} x=a, & u\in H^1(\mathbb{R}^{N}),\end{cases}\end{align*}

where $N\geq 3$, a > 0, and $\mu \lt \frac{(N-2)^2}{4}$. Here $\frac{1}{|x|^2} $ represents the Hardy potential (or ‘inverse-square potential’), λ is a Lagrange multiplier, and the nonlinearity function f satisfies the general Sobolev critical growth condition. Our main goal is to demonstrate the existence of normalized ground state solutions for this equation when $0 \lt \mu \lt \frac{(N-2)^2}{4}$. We also analyse the behaviour of solutions as $\mu\to0^+$ and derive the existence of normalized ground state solutions for the limiting case where µ = 0. Finally, we investigate the existence of normalized solutions when µ < 0 and analyse the asymptotic behaviour of solutions as $\mu\to 0^-$.

In this paper, we consider the discrete Orlicz chord Minkowski problem and solve the existence of this problem, which is the nontrivial extension of the discrete $L_{p}$ chord Minkowski problem for ${0<p<1}$.