333 research outputs found
Wei xing ji he qiao na mi jie gou de he cheng yu biao mian deng li ji yuan te xing yan jiu
No full textRuan, Qifeng = 衛星及核殼納米結構的合成與表面等離激元特性研究 / 阮琦鋒.Thesis Ph.D. Chinese University of Hong Kong 2015.Includes bibliographical references.Abstracts also in Chinese.Title from PDF title page (viewed on 16, December, 2016).Ruan, Qifeng = Wei xing ji he qiao na mi jie gou de he cheng yu biao mian deng li ji yuan te xing yan jiu / Ruan Qifeng
Fano deformation rigidity of rational homogeneous spaces of submaximal Picard numbers
No full text© 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.We study the question whether rational homogeneous spaces are rigid under Fano deformation. In other words, given any smooth connected family π: X→ Z of Fano manifolds, if one fiber is biholomorphic to a rational homogeneous space S, is π an S-fibration? The cases of Picard number one were answered by Hwang and Mok. The manifold F(1 , Q5) is the unique rational homogeneous space of Picard number one that is not rigid under Fano deformation, and a Fano degeneration of it is constructed by Pasquier and Perrin. For higher Picard number cases, one notices that the Picard number of a rational homogeneous space G/P satisfies ρ(G/ P) ≤ rank (G). Weber and Wiśniewski proved that the rational homogeneous spaces G/P with ρ(G/ P) = rank (G) (i.e. complete flag manifolds) are rigid under Fano deformation. In this paper, we show that the rational homogeneous spaces G/P with ρ(G/ P) = rank (G) - 1 are rigid under Fano deformation, provided that G is a simple algebraic group of type ADE, and G/P is not biholomorphic to F(1 , 2 , P3) or F(1 , 2 , Q6). We also show that F(1 , 2 , P3) has a unique Fano degeneration, which is explicitly constructed. Furthermore, the structure of possible Fano degenerations of F(1 , 2 , Q6) is also described explicitly. Our main result is obtained by applying the theory of Cartan connections and symbol algebras.11Nsciescopu
Generalized Abstracted Mean Values
No full textIn this article, the author introduces the generalized abstracted mean values which extend the concepts of most means with two variables, and researches their basic properties and monotonicities
Other Proofs of Monotonicity for Generalized Weighted Mean Values
No full textIn this article, another two simple and short proofs of monotonicity for the generalized weighted mean values with two parameters are given
On New Proofs of Inequalities Involving Trigonometric Functions
No full textIn the note, some new proofs for inequalities invoving trigonometric functions are given
Self-verification of large language models for math word problems
No full textIn recent years, large language models have performed promisingly in various natural language processing tasks. However, their ability to tackle reasoning tasks, such as solving math word problems that require multiple steps to yield the correct answer, is still limited. One of the primary reasons for this is that large language models cannot rectify errors in the generation process while producing solutions. Once the generated answers deviate from the correct direction, they become irrecoverable swiftly. Therefore, the shortcomings in multi-step reasoning tasks, such as solving math word problems, reflect the weaknesses of large language models. The chain-of-thought method improves the performance of large language models by prompting them to provide detailed steps while solving multistep reasoning tasks. However, even with this method, the answers generated by large language models can still lack self-consistency and sometimes produce hallucinations. This phenomenon highlights the importance of sieving out the correct answers from the candidate answers generated by the model while solving math word problems. To address this issue, recent works have tried to train an extra ranker to select among multiple model outputs or train a reward model under process or outcome supervision with the help of human feedback. However, all of these approaches involve extra costs for training. Instead, we propose a self-verification methodology for checking answers to math word problems generated by large language models without any additional training cost. Selfverification involves taking the answer generated by large language models as a given condition and constructing reverse problems predicated on other known conditions. Large language models are then tasked with answering the reverse problems to verify their previously generated answers. In our experiments, we first illustrate that our proposed self-verification procedure can effectively identify incorrect answers and further improve math-solving performance. Then, we conduct error analysis and refine our approach to improve the overall performance of our methodology. Finally, we compare our approach with other similar approaches.</p
Synergetic valorization of basic oxygen furnace slag and stone coal : Metal recovery and preparation of glass-ceramics
No full textAbstractA synergetic valorization method was proposed to convert the basic oxygen furnace (BOF) slag and stone coal into ferroalloy and glass-ceramic in this work. Effects of reduction time, temperature, and the mass ratio of BOF slag to stone coal on the reduction were studied. The reduction mechanism was investigated by in-situ observation and dissolution experiments. The effect of sintering temperature on the properties of glass-ceramics prepared from the final slag was further studied. The in-situ observation results indicate that the reduction reactions occurred mainly in the temperature range of 1673–1793 K. The reduction ratio of oxides and size of metal droplets can be improved by increasing reduction time, temperature, and decreasing stone coal addition. The recovered ferroalloys consisted of Fe, Mn, P, and V, which has the potential of returning to the steelmaking process or extracting vanadium. The modified final slag was suitable material for preparing glass-ceramic. Wollastonite-based glass-ceramic with a maximum bending strength of 95.83 MPa was prepared, which could be applied as abrasion-resistant and building decoration materials. Therefore, the present technological route can convert two kinds of industrial solid waste into two kinds of cleaner products and achieve the target of “zero waste”.Abstract
A synergetic valorization method was proposed to convert the basic oxygen furnace (BOF) slag and stone coal into ferroalloy and glass-ceramic in this work. Effects of reduction time, temperature, and the mass ratio of BOF slag to stone coal on the reduction were studied. The reduction mechanism was investigated by in-situ observation and dissolution experiments. The effect of sintering temperature on the properties of glass-ceramics prepared from the final slag was further studied. The in-situ observation results indicate that the reduction reactions occurred mainly in the temperature range of 1673–1793 K. The reduction ratio of oxides and size of metal droplets can be improved by increasing reduction time, temperature, and decreasing stone coal addition. The recovered ferroalloys consisted of Fe, Mn, P, and V, which has the potential of returning to the steelmaking process or extracting vanadium. The modified final slag was suitable material for preparing glass-ceramic. Wollastonite-based glass-ceramic with a maximum bending strength of 95.83 MPa was prepared, which could be applied as abrasion-resistant and building decoration materials. Therefore, the present technological route can convert two kinds of industrial solid waste into two kinds of cleaner products and achieve the target of “zero waste”
Apolipoprotein E Gene ϵ4 Allele is Associated with Atherosclerosis in Multiple Vascular Beds
No full textYouni Lin, Min Yang, Qifeng Liu, Yufu Cai, Zhouhua Zhang, Chongfei Xu, Ming Luo Center for Cardiovascular Diseases, Meizhou People’s Hospital, Meizhou, People’s Republic of ChinaCorrespondence: Youni Lin, Center for Cardiovascular Diseases, Meizhou People’s Hospital, Meizhou, People’s Republic of China, Email [email protected]: Atherosclerosis is a systemic disease that can involve multiple vascular beds. The risk factors for atherosclerosis in multiple vascular beds remain unclear. Apolipoprotein E (APOE) is involved in inflammation and lipid deposition in the process of atherosclerosis. The objective of this study was to investigate whether APOE polymorphisms are associated with atherosclerosis in multiple vascular beds.Methods: A total of 416 patients with atherosclerosis in single vascular bed and 658 patients with atherosclerosis in multiple vascular beds were included. APOE genotypes were detected and the differences of APOE genotypes between the groups were compared. Logistic regression analysis was performed to analyze the relationship between APOE genotypes and atherosclerosis in multiple vascular beds.Results: APOE E3/E4 genotype frequency was lower in the patients with atherosclerosis in multiple vascular beds than that of patients with atherosclerosis in single vascular bed (11.4% vs 17.8%, P=0.004). There was no significant difference in age and gender distribution, proportion of history of smoking, alcohol consumption, hypertension, and diabetes mellitus between the two groups (all P> 0.05), and among patients with different APOE alleles (all P> 0.05). Logistic regression analysis indicated that APOE E3/E4 genotype (E3/E4 vs E3/E3: odds ratio (OR) 0.598, 95% confidence interval (CI): 0.419– 0.854, P=0.005), and APOE ϵ4 allele (ϵ4 vs ϵ3: OR 0.630, 95% CI: 0.444– 0.895, P=0.010) associated with atherosclerosis in multiple vascular beds.Conclusion: APOE ϵ4 allele is associated with atherosclerosis in multiple vascular beds.Keywords: APOE, polymorphism, atherosclerosis, multiple vascular bed
PROTEOMICS IDENTIFICATION OF INTRACELLULAR AND SECRETED PROTEINS INVOLVED IN METASTASIS FROM A PAIR OF ISOGENIC COLORECTAL CANCER CELL LINES
No full textPh.DDOCTOR OF PHILOSOPH
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