• 제목/요약/키워드: embedding conditions

Search Result 75, Processing Time 0.024 seconds

A NOTE ON TWO WEIGHT INEQUALITIES FOR THE DYADIC PARAPRODUCT

  • Chung, Daewon
    • East Asian mathematical journal
    • /
    • v.36 no.3
    • /
    • pp.377-387
    • /
    • 2020
  • In this paper, we provide detailed proof of the Sawyer type characterization of the two weight estimate for the dyadic paraproduct. Although the dyadic paraproduct is known to be a well localized operators and the testing conditions obtained from checking boundedness of the given localized operator on a collection of test functions are provided by many authors. The main purpose of this paper is to present the necessary and sufficient conditions on the weights to ensure boundedness of the dyadic paraproduct directly.

ON GENERALIZED GRADED CROSSED PRODUCTS AND KUMMER SUBFIELDS OF SIMPLE ALGEBRAS

  • Bennis, Driss;Mounirh, Karim;Taraza, Fouad
    • Bulletin of the Korean Mathematical Society
    • /
    • v.56 no.4
    • /
    • pp.939-959
    • /
    • 2019
  • Using generalized graded crossed products, we give necessary and sufficient conditions for a simple algebra over a Henselian valued field (under some hypotheses) to have Kummer subfields. This study generalizes some known works. We also study many properties of generalized graded crossed products and conditions for embedding a graded simple algebra into a matrix algebra of a graded division ring.

Is optimal cutting temperature compound essential embedding solution treatment to cryo-sectioning of brain tissue?

  • Baek, Hye Kyung;Song, Ji Ae;Yi, Sun Shin
    • Korean Journal of Veterinary Research
    • /
    • v.56 no.2
    • /
    • pp.85-89
    • /
    • 2016
  • We tested a set of conditions for obtaining optimal tissue quality in preparation for histology in samples of mouse brain. C57BL/6J mice were sacrificed and perfused with 4% paraformaldehyde, after which the brains were removed and dehydrated in 30% sucrose solution. The brains were then divided into four groups according to freezing temperature and usage of optimal cutting temperature (OCT) compound. Next, we stained the sectioned brain tissues with Harris hematoxylin and eosin Y and immunohistochemistry was performed for doublecortin. The best quality tissue was obtained at $-25^{\circ}C$ and by not embedding with the OCT compound. When frozen at $-25^{\circ}C$, the embedded tissue was significantly damaged by crystals, while at $-80^{\circ}C$ there were no meaningful differences between qualities of embedded- and non-embedded tissues. Overall, we identified a set of conditions to obtain quality frozen brain sections. Our developed protocol will help resolve matters associated with damage caused to sectioned brain tissue by crystal formation during freezing.

Theoretical formulations of current and unique Rayleigh waves with impedance boundary condition embedding normal stress

  • Nguyen, Xuan Quynh;Lee, Dongkyu
    • Smart Structures and Systems
    • /
    • v.29 no.2
    • /
    • pp.279-286
    • /
    • 2022
  • In this article, a novel propagation formulation of Rayleigh waves in a compressible isotropic half-space with impedance boundary condition is proposed by embedding the normal stress. In a two-dimensional case, it is assumed that a design boundary is free of normal traction and a shear traction depends on linearly a normal component of displacements multiplied by frequencies. Therefore, impedance boundary conditions affect the normal stress, where the impedance parameters correspond to dimensions of stresses over velocity. On the other hand, vanished impedance values are traction-free boundary conditions. The main purpose of this article is to present theoretically the existence and uniqueness of a Rayleigh wave formulation relying on secular equation's mathematical analyses. Its velocity varies along with the impedance parameters. Moreover, numerical experiments with different values for the velocity of Rayleigh waves are carried out. The present Rayleigh waves study is a fundamental step in analyzing the cause and effect of physical states such as building or structure damages resulting from natural dynamics. The results of the study generate a basic design formulation theory to test the effects of Rayleigh waves affecting structures when an earthquake occurs. The presence and uniqueness of the proposed formulation is verified by mutual comparisons of several numerical examples.

STUDIES ON BLOOD GROUP SPECIFIC SUBSTANCE IN THE DENTAL HARD TISSUE -IDENTIFICATION OF A. B. O. BLOOD GROUPS FROM DENTAL HARD TISSUE LEFT STANDING UNDER VARIOUS CONDITIONS- (치아편조직의 혈형물질 검출에 관한 실험적 연구 -제매장조건하의 치아경조직에서 혈액형판정-)

  • Kim, Chong-Youl
    • The Journal of the Korean dental association
    • /
    • v.19 no.5 s.144
    • /
    • pp.449-461
    • /
    • 1981
  • The author studied on the blood groups by the elution tests with teeth left standing under various conditions, and the following results were obtained. 1) The blood group identification with dental hard tissue proved to be possible. 2) In the cases of teeth left under various conditions-formalin fixation, standing in air, soil embedding and immersing in water-the identification of blood groups was possible in every case without any difference on difficulties. 3) The reaction of agglutination was somewhat more obvious in dentin substance than in enamel. 4) About 10 mg of dental hard tissue was recommendable for blood grouping.

  • PDF

Prediction of Drug-Drug Interaction Based on Deep Learning Using Drug Information Document Embedding (약물 정보 문서 임베딩을 이용한 딥러닝 기반 약물 간 상호작용 예측)

  • Jung, Sun-woo;Yoo, Sun-yong
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
    • /
    • 2022.05a
    • /
    • pp.276-278
    • /
    • 2022
  • All drugs have a specific action in the body, and in many cases, drugs are combinated due to complications or new symptoms during existing drug treatment. In this case, unexpected interactions may occur within the body. Therefore, predicting drug-drug interactions is a very important task for safe drug use. In this study, we propose a deep learning-based predictive model that learns using drug information documents to predict drug interactions that may occur when using multiple drugs. The drug information document was created by combining several properties such as the drug's mechanism of action, toxicity, and target using DrugBank data. And drug information document is pair with another drug documents and used as an input to a deep learning-based predictive model, and the model outputs the interaction between the two drugs. This study can be used to predict future interactions between new drug pairs by analyzing the differences in experimental results according to changes in various conditions.

  • PDF

SOLVABILITY OF OVERDETERMINED PDE SYSTEMS THAT ADMIT A COMPLETE PROLONGATION AND SOME LOCAL PROBLEMS IN CR GEOMETRY

  • Han, Chong-Kyu
    • Journal of the Korean Mathematical Society
    • /
    • v.40 no.4
    • /
    • pp.695-708
    • /
    • 2003
  • We study the existence of solutions for overdetermined PDE systems that admit prolongation to a complete system. We reduce the problem to a Pfaffian system on a submanifold of the jet space of unknown functions and then express the integrability conditions in terms of the coefficients of the original system. As possible applications we present some local problems in CR geometry: determining the CR embeddibility into spheres and the existence of infinitesimal CR automorphisms.

Existence and Behavior Results for a Nonlocal Nonlinear Parabolic Equation with Variable Exponent

  • Sert, Ugur;Ozturk, Eylem
    • Kyungpook Mathematical Journal
    • /
    • v.60 no.1
    • /
    • pp.145-161
    • /
    • 2020
  • In this article, we study the solvability of the Cauchy-Dirichlet problem for a class of nonlinear parabolic equations with nonstandard growth and nonlocal terms. We prove the existence of weak solutions of the considered problem under more general conditions. In addition, we investigate the behavior of the solution when the problem is homogeneous.

Estimation Model of Energy Expenditure of Working in a Clean Room for Manufacturing Embedded Needles by Ergonomic Programs (인간공학 프로그램에 의한 매선 제작 청정실작업의 에너지소모량 예측 모델)

  • Chung, Tae-Eun
    • Korean Journal of Computational Design and Engineering
    • /
    • v.21 no.1
    • /
    • pp.69-77
    • /
    • 2016
  • The purpose of this study is to estimate the energy expenditure of working in a clean room for manufacturing embedded needles by ergonomic programs. Embedding needle is one of medical devices and it should be manufactured in a clean room. 3D static strength prediction program was used to analyze the slow movements during embedding needle manufacturing in a clean room. Also the energy expenditure prediction program was used to estimate energy expenditure rates for materials handling tasks to help assure worker safety and health in clean room. The energy expenditures of the tasks were calculated using prediction equations derived from empirical data. The energy expenditure rate of 3.09 kcal/min in a clean room didn't exceed the 3.5 kcal/min action limit guideline for an average 8-hour day set by the National Institute for Occupational Safety and Health (NIOSH). Energy consumption was calculated on the same working conditions as EEPP program, using an average body weight of female 20 years old to 59 years who would be the candidates of the real workers.

The effect of embedding a porous core on the free vibration behavior of laminated composite plates

  • Safaei, Babak
    • Steel and Composite Structures
    • /
    • v.35 no.5
    • /
    • pp.659-670
    • /
    • 2020
  • This paper proposes the use of a porous core between layers of laminated composite plates to examine its effect on the natural frequencies of the resulted porous laminated composite sandwich plate (PLCSP) resting on a two-parameter elastic foundation. Moreover, it has been suggested that the dispersion of porosity has two different functionally graded (FG) patterns which are compared with a uniformly dispersed (UD) profile to find their best vibrational efficiency in the proposed PLCSPs. In FG patterns, two types of dispersions, including symmetric (FG-S) and asymmetric (FG-A) patterns have been considered. To derive the governing Eigen value equation of such structures, the first order shear deformation theory (FSDT) of plates has been employed. Accordingly, a finite element method (FEM) is developed to solve the derived Eigen value equation. Using the mentioned theory and method, the effects of porosity parameters, fiber orientation of laminated composite, geometrical dimensions, boundary conditions and elastic foundation on the natural frequencies of the proposed PLCSPs have been studied. It is observed that embedding porosity in core layer leads to a significant improvement in the natural frequencies of PLCSPs. Moreover, the natural frequencies of PLCSPs with FG porous core are higher than those with UD porous core.