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关键词： 模糊分析   研究生   数学分析   上海交通大学   交通部第一交通大学  

摘要： 本书为由上海汽车工业教育基金会组编,并与上海交通大学出版社、工业工程与管理系共同策划编辑、出版的"工业工程系列教材"之一。近40年来模糊理论发展极其迅速,而模糊技术也极其广泛地应用到多种多样的领域。工业工程与管理是模糊技术应用的重要领域,在这方面的论文非常多,但是尚无这方面的专著和教材。本书就是为工业工程与管理专业的研究生和高年级本科生在这方面的需求而编写的。

关键词： 数学模型   微分方程   拟合   叠加  

摘要： 本文从生物学角度出发,根据微分方程理论.结合给定的数据,经过合理的假设,建立了血液中酒精的浓度随时间变化的基础模型。并针对不同的饮酒方式和饮酒量,分别建立了相应的模型。用拟合的方法确定参数,准确地模拟出酒精浓度变化趋势的曲线,拟合结果与原始数据吻合程度较高。同时,对一些实际问题也给出了合理的解释。

关键词： 数学模型   市场   产品   数学分析   竞争力  

摘要： 本文通过数学模型分析了市场上两个产品在互惠共存及相互竞争情况下的增长关系。在互惠共存的情况下 ,一产品的成长或衰落 ,会使另一产品随之成长或衰落 ,不可能一方将另一方排挤出了市场而自己还能健康成长。在竞争的情况下 ,处于劣势的一方在很大程度上将会被优势方排挤出市场。竞争产品若想长期占有市场 ,就要创造竞争优势 ,至少要创造出相对于竞争对手的差别优势。

关键词： 磷化氢   熏蒸技术   数学分析  

摘要： 通过对磷化氢熏蒸中相关量进行数学分析,总结出磷化氢熏蒸技术中一些数据的确定及计算方法。

关键词： HELE-SHAW FLOW   MOVING BOUNDARY   SURFACE-TENSION   TUMOR DYNAMICS   DIFFUSION   STABILITY   NECROSIS   FLUID  

摘要： Mathematical models for the growth of nutrient-rich tissue are presented and a number of properties of the resulting models outlined. The focus is on obtaining broadly applicable results for the simplest appropriate formulations by using matched-asymptotic, moving-boundary and thin-film approaches;the relevance of the results to a variety of specific biological applications will be addressed elsewhere, as will the inclusion of additional physical phenomena.

关键词： 数理科学和化学   数学   数学分析  

ISBN: (纸本)9787206033094

关键词： oxide/electrolyte interface   ion adsorption   double layer modeling  

摘要： For most oxide/electrolyte systems potentiometric titration curves measured for different ionic strengths have a Common Intersection Point (CIP) which corresponds to the Point of Zero Charge (PZC). However, there are systems where a CIP exists but the surface charge at this point does not equal zero (PZCnot equalCIP). In this paper theoretical analysis of the systems in which the PZC and CIP do not coincide is presented. It is based on the well-known 2-pK surface charging approach and Triple Layer Model (TLM) as well as the Four Layer Model (FLM) of the electric double layer. The appropriate mathematical criterion for CIP existence was applied with detailed derivations, both for TLM and FLM. Having determined in this manner the parameter values, one can draw proper conclusions about the features of oxide/electrolyte adsorption systems, in which PZC and CIP do not coincide. The values of adsorption parameters are found by fitting simultaneously the obtained theoretical expressions to both of the experimental titration isotherms, and to the individual isotherms of electrolyte cation adsorption measured using radiometric methods.

关键词： creep   failure criterion   free energy   linear viscoelastic behaviour   polymer   strength  

摘要： In this work energy based failure criteria are applied and assessed using published experimental data. Reiner and Weissenberg (R-W) developed an energy failure criterion based on deviatoric free energy. In this theoretical model, failure is part of the complete constitutive description of the material. Some considerations are given to the energy for viscoelastic materials characterized by single-integrals. Some studies show that for materials with memory there is more than one free energy compatible with the thermodynamical principles. The free energy is defined and related to the viscoelastic model. Failure criteria are defined and tested for some polymers and FRP. The experimental data of some materials, at room and elevated temperatures, reveals some discrepancies with R-W criterion and a criterion modification is proposed. It is concluded that the R-W criterion is not universal.

ISBN: (纸本)7040139952

关键词： .segments   connection strengths   analyze   antiphase   ending   damped   CPG   Volume Number   Neural Circuit   Lampreys   external inputs  

摘要： We analyze the dynamics of the neural circuit of the lamprey central pattern generator. This analysis provides insight into how neural interactions form oscillators and enable spontaneous oscillations in a network of damped oscillators, which were not apparent in previous simulations or abstract phase oscillator models. We also show how the different behavior regimes (characterized by phase and amplitude relationships between oscillators) of forward or backward swimming, and turning, can be controlled using the neural connection strengths and external inputs.