Conservation laws and tachyon potentials in the sliver frame

Conservation laws have provided an elegant and efficient tool to evaluate the open string field theory interaction vertex, they have been originally implemented in the case where the string field is expanded in the Virasoro basis. In this work we derive conservation laws in the case where the string field is expanded in the so-called sliver $\mathcal{L}_0$-basis. As an application of these conservation laws derived in the sliver frame, we compute the open string field action relevant to the tachyon condensation and in order to present not only an illustration but also an additional information, we evaluate the action without imposing a gauge choice.Comment: 26 pages, some typos fixed, comments added, references adde

Family income and Education in the Next Generation: Exploring income gradients in education for current cohorts of youth

The relationship between the incomes of the family a child is growing up in and the education level the child obtains, has been of great interest to researchers for a number of reasons. Firstly, this gives us a measure of educational inequality in its own right, and secondly, because the relationship between family income and education is also one of the key drivers of intergenerational income mobility across time in the UK, and gradients in life chances across a range of other domains. This paper explores the evolution of the relationship between family income and education, for a group of cohorts from those born in 1958 to those born in 1991/92. The range of educational relationships we can measure depends on the age of the child. For older cohorts, whom we assume have completed their education, we can measure the full range of educational outcomes up to degree level, and their relationship with family income. For younger cohorts who are in earlier stages of education, we can measure test scores and GCSE results but not later educational outcomes

Family Income and Education in the Next Generation: Exploring income gradients in education for current cohorts of youth

The relationship between the incomes of the family a child is growing up in and the education level the child obtains has been of great interest to researchers for a number of reasons. Firstly, this gives us a measure of educational inequality in its own right and secondly, because the relationship between family income and education is also one of the key drivers of intergenerational income mobility across time in the UK and gradients in life chances across a range of other domains. This paper explores the evolution of the relationship between family income and education for a group of cohorts from those born in 1958 to those born in 1991/92. The range of educational relationships we can measure obviously depends on the age of the child. For older cohorts, who we observe as finished in education, we can measure the full range of educational outcomes up to degree level and their relationship with family income. For younger cohorts who are in earlier stages of education, we can measure test scores and GCSE results but not later educational outcomes.Intergenerational mobility, children, education

Pinning of Fermionic Occupation Numbers

The Pauli exclusion principle is a constraint on the natural occupation numbers of fermionic states. It has been suspected since at least the 1970's, and only proved very recently, that there is a multitude of further constraints on these numbers, generalizing the Pauli principle. Here, we provide the first analytic analysis of the physical relevance of these constraints. We compute the natural occupation numbers for the ground states of a family of interacting fermions in a harmonic potential. Intriguingly, we find that the occupation numbers are almost, but not exactly, pinned to the boundary of the allowed region (quasi-pinned). The result suggests that the physics behind the phenomenon is richer than previously appreciated. In particular, it shows that for some models, the generalized Pauli constraints play a role for the ground state, even though they do not limit the ground-state energy. Our findings suggest a generalization of the Hartree-Fock approximation

Indigenous Knowledge in Reducing HCN Content in the Processing of Gadung Tubers (Dioscorea hispida) as Student Teaching Materials

The research aims to understand the indigenous knowledge of the community in processing gadung tubers (Discorea hispida) and to identify the most effective variations in reducing HCN content for educational purposes, specifically in the form of an Environmental Knowledge Module for students in the Biology Education program at FKIP Cordova University. The research methodology involves an experimental approach with four core stages: conducting surveys and interviews with the community in Beru Village, Jereweh District, West Sumbawa Regency; developing observation sheets for gadung tuber processing based on local knowledge; and engaging in practical activities with the research team, the community, and two biology education students. The research results, based on the module validation, show an average score of 77.5%, categorizing it as good. The conclusion of the study is that the most effective variation in reducing HCN content involves the addition of 300 grams of salt compared to other variations, along with the inclusion of squeezed castor leaves juice. The practical activities conducted in accordance with the local knowledge of Beru Village community in Jereweh District have progressed well, producing gadung sticks as safe-to-consume food products