A linear stochastic biharmonic heat equation: hitting probabilities

Consider the linear stochastic biharmonic heat equation on a d–dimen- sional torus ($$d=1,2,3$$ d = 1 , 2 , 3 ), driven by a space-time white noise and with periodic boundary conditions: $$\begin{aligned} \left( \frac{\partial }{\partial t}+(-\varDelta )^2\right) v(t,x)= \sigma \dot{W}(t,x),\ (t,x)\in (0,T]\times {\mathbb {T}}^d, \end{aligned}$$ ∂ ∂ t + ( - Δ ) 2 v ( t , x ) = σ W ˙ ( t , x ) , ( t , x ) ∈ ( 0 , T ] × T d , $$v(0,x)=v_0(x)$$ v ( 0 , x ) = v 0 ( x ) . We find the canonical pseudo-distance corresponding to the random field solution, therefore the precise description of the anisotropies of the process. We see that for $$d=2$$ d = 2 , they include a $$z(\log \tfrac{c}{z})^{1/2}$$ z ( log c z ) 1 / 2 term. Consider D independent copies of the random field solution to (0.1). Applying the criteria proved in Hinojosa-Calleja and Sanz-Solé (Stoch PDE Anal Comp 2021. 10.1007/s40072-021-00190-1), we establish upper and lower bounds for the probabilities that the path process hits bounded Borel sets.This yields results on the polarity of sets and on the Hausdorff dimension of the path process.

New record of an alien plant, Petrorhagia nanteuilii (Caryophyllaceae) in Korea

Petrorhagia nanteuilii (Burnat) P. W. Ball & Heywood (Caryophyllaceae), native to western Europe and western North Africa and an introduced or alien plant in South America, Australia, and Japan, was newly found in Gyeongsangnam-do, Korea. Petrorhagia is clearly distinguished from other genera by a bract at the base of calyx, which differs from Gypsophila L., and commissures at the sepals, which is different from Dianthus</i L. Petrorhagia nanteuilii grows on slopes and roadsides, suggesting that it is likely to have been introduced through the installation of green sites and road construction. A precise description, illustration, photographs, and a key to related genera and species is provided.

Cytoplasmic P53 Immunostaining With N-Terminus P53 Antibody And Absence Of Staining With C-Terminus P53 Antibody: A Report Of Two Pediatric Sarcomas With Distal Truncating TP53 Mutations Affecting Nuclear Localization Domain

P53 immunohistochemical staining with antibodies targeted to epitopes at or near the N-terminus are commonly used in diagnostic pathology practice as a surrogate for TP53 mutations. The abnormal staining patterns indicating TP53 mutations include nuclear overexpression, null, and the recently described cytoplasmic staining. The latter staining pattern occurs with the less common TP53 mutations affecting its nuclear localization and/or tetramerization domains that are located toward the C-terminus. Here we describe the first two cases of pediatric sarcomas with cytoplasmic staining with P53 antibody against N-terminus epitope and the absence of staining with P53 antibody against C-terminus epitope. We propose that a more precise description of P53 immunohistochemical staining patterns should include the nature of the antibody used.

Social Change

Part III of the book is concerned with the social changes required if the educational proposals are to be implemented, and with the economic feasibility of making the recommended reforms. Chapter 10 takes up the first question. Features of contemporary societies pose all sorts of readily recognizable obstacles to educational progress. Teachers are often seriously underpaid. Schools are often dilapidated and dangerous. Children often live in poverty—and many have no stable homes to leave in the morning and to return to in the afternoon. Parental resources vary widely. Social and economic conditions force students to compete for scarce opportunities. That competition intensifies as they grow older. Stereotypes and biases are everywhere. The solutions proposed culminate in a blueprint for a very different society—the Deweyan society—characterized by seven major features. Arriving at a precise description of this society permits focused consideration of whether it could be economically sustained.

Ground States for Mass Critical Two Coupled Semi-Relativistic Hartree Equations with Attractive Interactions

We prove the existence and nonexistence of $L^{2}(\mathbb R^3)$-normalized solutions of two coupled semi-relativistic Hartree equations, which arisen from the studies of boson stars and multi-component Bose–Einstein condensates. Under certain condition on the strength of intra-specie and inter-specie interactions, by proving some delicate energy estimates, we give a precise description on the concentration behavior of ground state solutions of the system. Furthermore, an optimal blowing up rate for the ground state solutions of the system is also proved.

A Description–Experience Framework of the Psychology of Risk

The modern world holds countless risks for humanity, both large-scale and intimately personal—from cyberwarfare, pandemics, and climate change to sexually transmitted diseases and drug use and abuse. Many risks have prompted institutional, regulatory, and technological countermeasures, the success of which depends to some extent on how individuals learn about the risks in question. We distinguish between two powerful but imperfect teachers of risk. First, people may learn by consulting symbolic and descriptive material, such as warnings, statistics, and images. More often than not, however, a risk’s fluidity defies precise description. Second, people may learn about risks through personal experience. Responses to risk can differ systematically depending on whether people learn through one mode, both, or neither. One reason for these differences—and by no means the only reason—is the discrepancy in the cognitive impact that rare events (typically the risk event) and common events (typically the nonoccurrence of the risk event) have on the decision maker. We propose a description–experience framework that highlights not only the impact of each mode of learning but also the effects of their interplay on individuals’ and collectives’ responses to risk. We outline numerous research questions and themes suggested by this framework.

Teachers’ misconception concerning valence and valency in chemistry

A study on the misconceptions developed or held by teachers related to the two terms valence and valency was undertaken. A total of 48 teachers (26 males and 22 females) teaching the chemistry component of science subject to 14- to 16-year-old students, in 48 schools affiliated to one district, were randomly selected for the study by taking one teacher from each school. One session was devoted for administering the questionnaire among the teachers and second session (with a gap of one day) was for addressing the teacher’s misconceptions. From the analysis of the responses, it was found that the two terms although they have the same meaning were misconceived as having different meanings. Due to this a misleading relationship between the two terms was discovered. Even the highest numerical value of valence was misconceived. The possible reasons for these misconceptions were identified. A simple, brief, and precise description of the concepts was presented to remove the misconceptions of the teachers.

The mechanics of landslide mobility with erosion

Erosion can significantly increase the destructive power of a landslide by amplifying its volume, mobility and impact force. The threat posed by an erosive landslide is linked to its mobility. No mechanical condition has yet been presented for when, how and how much energy erosive landslides gain or lose. Here, we pioneer a mechanical model for the energy budget of erosive landslides that controls enhanced or reduced mobility. Inertia is related to an entrainment velocity, is a fundamentally new understanding. This ascertains the true inertia of erosive landslides, making a breakthrough in correctly determining the landslide mobility. Erosion velocity, which regulates the energy budget, determines the enhanced or reduced mobility. Newly developed energy generator offers the first-ever mechanical quantification of erosional energy and a precise description of mobility. This addresses the long-standing question of why many erosive landslides generate higher mobility, while others reduce mobility. We demonstrate that erosion and entrainment are different processes. Landslides gain energy and enhance mobility if the erosion velocity exceeds the entrainment velocity. Energy velocity delineates distinct excess energy regimes. Newly introduced mobility scaling and erosion number deliver the explicit measure of mobility. Presented dynamical equations correctly include erosion induced net momentum production.

Krystyny Pisarkowej odkrywanie Malinowskiego

Krystyna Pisarkowa’s Discovering of Malinowski The article is concerned with the two-volume publication Językoznawstwo Bronisława Malinowskiego [Bronisław Malinowski’s Linguistics], edited by Krystyna Pisarek. Its first volume contains the editor’s thorough analysis of the linguistic achievements of this Polish-born British anthropologist, while the second volume includes translations of Malinowski’s works and a dictionary of the Kiriwina language. The linguistic importance of Malinowski’s works had been underestimated: his articles “Classificatory Particles in the Language of Kiriwina” (1920) and “The Problem of Meaning in Primitive Languages” (1923) were not included in the thirteen-volume collection of his writings (Dzieła [Works]). Pisarkowa, in turn, does recognize Malinowski’s contribution to linguistics and considers the following to be his unique achievements: (1) the discovery of the phatic function of speech (adopted by Roman Jakobson in his classification of language functions); (2) an explicit formulation of the principle of contextualism and the pragmatic aspect of word meaning; and (3) a precise description of the Kiriwina system of classificatory particles.

Estimands in published protocols of randomised trials: urgent improvement needed

Background An estimand is a precise description of the treatment effect to be estimated from a trial (the question) and is distinct from the methods of statistical analysis (how the question is to be answered). The potential use of estimands to improve trial research and reporting has been underpinned by the recent publication of the ICH E9(R1) Addendum on the use of estimands in clinical trials in 2019. We set out to assess how well estimands are described in published trial protocols. Methods We reviewed 50 trial protocols published in October 2020 in Trials and BMJ Open. For each protocol, we determined whether the estimand for the primary outcome was explicitly stated, not stated but inferable (i.e. could be constructed from the information given), or not inferable. Results None of the 50 trials explicitly described the estimand for the primary outcome, and in 74% of trials, it was impossible to infer the estimand from the information included in the protocol. The population attribute of the estimand could not be inferred in 36% of trials, the treatment condition attribute in 20%, the population-level summary measure in 34%, and the handling of intercurrent events in 60% (the strategy for handling non-adherence was not inferable in 32% of protocols, and the strategy for handling mortality was not inferable in 80% of the protocols for which it was applicable). Conversely, the outcome attribute was stated for all trials. In 28% of trials, three or more of the five estimand attributes could not be inferred. Conclusions The description of estimands in published trial protocols is poor, and in most trials, it is impossible to understand exactly what treatment effect is being estimated. Given the utility of estimands to improve clinical research and reporting, this urgently needs to change.