The locally made colour-coated ware vessel known as the Colchester Vase is argued to be a commissioned piece recording a performance in the town. The inscription on the vessel, cut pre-firing, names individual arena performers depicted en barbotine. One name, Memnon, is argued to be a ‘stage name’ taken from a protagonist in the Trojan war. The connection of another combatant, Valentinus, to the 30th legion is re-considered as evidence for gladiators linked to the Roman army. The Vase's final use was as a cremation urn. Osteological and isotopic analysis reveals the cremated remains to be those of a non-local male of 40+ years; unlikely to be one of the performers, he may nevertheless have been closely connected to the event.

What is the origin of the Frente Amplio? While most contributions focus on party-building strategies and the electoral success of the Left, scholars have overlooked the previous process of party formation. This paper studies the Frente Amplio's formation in 1971 as a case of complete electoral coordination between extant parties, factions and individual left-wing politicians who understood the electoral inefficiencies of competing with each other. Making use of a historical narrative, our account complements other approaches, suggesting the critical role of electoral coordination, favoured by two systemic conditions (electoral stability and programmatic politics) that eased the process of party formation.

Let $X$ denote the ‘conifold smoothing’, the symplectic Weinstein manifold which is the complement of a smooth conic in $T^*S^3$ or, equivalently, the plumbing of two copies of $T^*S^3$ along a Hopf link. Let $Y$ denote the ‘conifold resolution’, by which we mean the complement of a smooth divisor in $\mathcal {O}(-1) \oplus \mathcal {O}(-1) \to \mathbb {P}^1$. We prove that the compactly supported symplectic mapping class group of $X$ splits off a copy of an infinite-rank free group, in particular is infinitely generated; and we classify spherical objects in the bounded derived category $D(Y)$ (the three-dimensional ‘affine $A_1$-case’). Our results build on work of Chan, Pomerleano and Ueda and Toda, and both theorems make essential use of working on the ‘other side’ of the mirror.

This study aimed to evaluate the effect of marine-based rumen buffer (Lithothamnium calcareum) supplementation on rumen health as well as milk yield and composition and also behavioural and metabolic parameters of dairy cows. Thirty-six lactating multiparous Holstein cows were used with a milk yield average of 39 kg/d and 64 d in milk. The experiment was conducted over 60 d using two groups: control (CON; n = 18) was supplemented with sodium bicarbonate at 1.1% dry matter and a treatment group that received Lithothamnium calcareum at 0.5% of dry matter (LITHO; n = 18). Each group was fed daily with the buffers mixed to the total mixed ration containing 29.28% starch. Ruminal fluid collections were performed weekly to evaluate pH and volatile fatty acids. Feeding behaviour data were obtained through automatic feeders, while overall behavioural data were obtained using monitoring collars. Milk yield was recorded daily and adjusted for fat and energy. Milk samples were retrieved once weekly for analysis of fat, protein, lactose and total solids. Blood samples were collected weekly for metabolic analysis and faecal samples were collected weekly to evaluate pH and starch concentrations. LITHO produced more fat- and energy-corrected milk (P ≤ 0.01) as well as the highest percentage of fat and solids (P < 0.05) when compared to the CON group. Data on feeding behaviour showed an increased eating time (P ≤ 0.01) in the LITHO group but a higher eating rate (P < 0.01) in the CON group. Animals from the LITHO group had lower faecal pH (P < 0.05). The treatment did not affect dry matter intake, animal behaviour, ruminal acid–base balance, or faecal starch. In summary, Lithothamnium calcareum supplementation at 0.5% of dry matter improved milk yield, milk composition and, presumably, feed conversion efficiency.

Recent authorities emphasize the longstanding inclusion of the Isle of Man in the territorial extent of English/British parliamentary legislation. This aligns with views of the territorial ambition of ministers of the crown and members of parliament in their operation of parliament's role in receipt of petitions and especially in the shaping of legislation. While contemporary authorities on Channel Island law, especially those in the islands themselves, are more cautious about the territorial extent of such legislation, it remains, at least by implication, the norm to assert that all of these territories, now Crown Dependencies, could be included by express provision in English/British statute law, and that there might be strong assumptions of inclusion even when they were not expressly named. The evidence for the period before 1640 does not tend to support these arguments. Instead, the Anglo-centric instincts of the English parliament from the mid-fourteenth century to the 1530s are clear. And even in the 1530s and 1540s, in legislation spurred by jurisdictional and administrative imperatives in ecclesiastical matters, as a result of the Break with Rome, there was only tentative and limited change to the territorial extent of English law.

The Occupation of Japan (1945-1952) sought to democratize the nation’s education system; pupil guidance was expected to play a key part of this process. American reformers promoted new guidance practices (e.g., the comprehensive collection of students’ personal data, guidance interventions based on the case-study method, an expanded homeroom curriculum) that emphasized the psychological adjustment—translated as tekio (適応)—of students to school and society in a new Japan. By tracing the evolution of prewar and postwar Japanese guidance discourse, this study examines how American pupil guidance’s emphasis on student adjustment interacted with, and transformed, twentieth-century Japanese education. Drawing from prewar, Occupation-era and post-independence sources, the essay explores three points. First, by comparing prewar life guidance with Occupation-era and post-independence pupil guidance, it emphasizes the important changes effected by tekio-oriented guidance during the late 1940s. Second, by examining the way these practices related to Occupation’s educational democratization, it explores how their psychological approach to democracy defined—and arguably constrained—the dynamism of this broader project. Lastly, the work discusses who supported and opposed this new tekio discourse. American authorities succeeded in garnering the support of many elites in Japanese education (e.g., Ministry of Education officials, leading academics), but other educators remained skeptical.

We study the counts of smooth permutations and smooth polynomials over finite fields. For both counts we prove an estimate with an error term that matches the error term found in the integer setting by de Bruijn more than 70 years ago. The main term is the usual Dickman $\rho$ function, but with its argument shifted.

We determine the order of magnitude of $\log(p_{n,m}/\rho(n/m))$ where $p_{n,m}$ is the probability that a permutation on n elements, chosen uniformly at random, is m-smooth.

We uncover a phase transition in the polynomial setting: the probability that a polynomial of degree n in $\mathbb{F}_q$ is m-smooth changes its behaviour at $m\approx (3/2)\log_q n$.

We evaluated the effect of including 0, 2, 5, 10, 20, 40 and 100% of individual milk from cows at extended lactation (more than 315 d in milk) on milk ethanol stability (MES), pH, acidity and ionic calcium (iCa) of the bulk tank milk. The study was carried out on commercial dairy farms in Brazil using milk samples of individual cows, bulk tank and their mixtures. Samples of individual cows were classified as low (≤74%), intermediate (76–78%) and high (≥80%) stability classes based on MES. Data were submitted to Anova, multiple linear regression analysis and logistic regression. Low, intermediate and high stability milk had values of 108, 89 and 79 mg/dl for iCa, and 21, 23 and 20 for acidity, respectively, but similar values for pH and DIM. MES increased linearly with pH, while it decreased linearly with iCa. When individual milks presented higher MES than bulk tank milk, MES and pH increased linearly with individual milk inclusion and DIM, while iCa decreased with individual milk inclusion. When individual milks presented lower MES than bulk tank milk, MES decreased, while iCa increased linearly with individual milk inclusion. Inclusion of milk with higher MES than the bulk tank decreased the odds of low stability, while inclusion of individual milk with lower MES than bulk tank increased it. At extended lactation, 73% of cows produced milk with acceptable (intermediate or better) MES, and iCa was the only functional variable related to MES. Effects of the mixture of individual milks into bulk tank milk functional traits depend on whether individual cows present values higher or lower than bulk tank.