From the process of sedimentation the mathematical relationships among deposition Volume and powder properties as well as sedimentation parameters were deduced. Based on the formula a mathematical model was set up and...From the process of sedimentation the mathematical relationships among deposition Volume and powder properties as well as sedimentation parameters were deduced. Based on the formula a mathematical model was set up and simulated through the computer. At last the validity of mathematical model was supported by the representative experiment on Ti-Mo system FGM prepared by co-sedimentation.展开更多
Extensive studies based on partition curve of gravity separation have been investigated. All created models are merely used to simulate density distribution at the same size fraction. However, they cannot be used to p...Extensive studies based on partition curve of gravity separation have been investigated. All created models are merely used to simulate density distribution at the same size fraction. However, they cannot be used to predictive distribution of materials depending on compound feature of density and size. According to this situation, an improved model of partition curve based on accumulation normal distribution, which was distinguished from conventional model of accumulation normal distribution for partition curve, was proposed in this paper. It could simulate density distribution at different size fractions by using the density-size compound index and conflating the partition curves at different size fractions as one partition curve. The feasibility of three compound indexes, including mass index, settlement index and transformation index, were investigated. Specific forms of the improved model were also proposed. It is found that transformation index leads to the best fitting results, while the fitting error is only 1.75 according to the fitting partition curve.展开更多
WITS-Math is a mathematical equation formatting tool in WITS, a multilingual document preparation environment. WITS-Math includes a library manager and an equation formatter. The main task of WITS-Math is to format di...WITS-Math is a mathematical equation formatting tool in WITS, a multilingual document preparation environment. WITS-Math includes a library manager and an equation formatter. The main task of WITS-Math is to format diversities of mathematical equations and organize them into an equation library used by other tools in the WITS environment.WITS-Math is a direct manipulation mathematics editor. It uses syntax directed markup language as the internal representation, alld provides an interactive WYSIWYG interface for users to format equations. WITS-Math provides an equation access mechanism. Other tools can access equations in a library by cross-reference from a source file or through data exchange without knowillg the structure of equation libraries. The common data structure and the rendering object in the WITS platform ensure that the formatted equations can be directly used by other tools.展开更多
文摘From the process of sedimentation the mathematical relationships among deposition Volume and powder properties as well as sedimentation parameters were deduced. Based on the formula a mathematical model was set up and simulated through the computer. At last the validity of mathematical model was supported by the representative experiment on Ti-Mo system FGM prepared by co-sedimentation.
基金the financial support from the National Natural Science Foundation of China (No. 51221462)
文摘Extensive studies based on partition curve of gravity separation have been investigated. All created models are merely used to simulate density distribution at the same size fraction. However, they cannot be used to predictive distribution of materials depending on compound feature of density and size. According to this situation, an improved model of partition curve based on accumulation normal distribution, which was distinguished from conventional model of accumulation normal distribution for partition curve, was proposed in this paper. It could simulate density distribution at different size fractions by using the density-size compound index and conflating the partition curves at different size fractions as one partition curve. The feasibility of three compound indexes, including mass index, settlement index and transformation index, were investigated. Specific forms of the improved model were also proposed. It is found that transformation index leads to the best fitting results, while the fitting error is only 1.75 according to the fitting partition curve.
文摘WITS-Math is a mathematical equation formatting tool in WITS, a multilingual document preparation environment. WITS-Math includes a library manager and an equation formatter. The main task of WITS-Math is to format diversities of mathematical equations and organize them into an equation library used by other tools in the WITS environment.WITS-Math is a direct manipulation mathematics editor. It uses syntax directed markup language as the internal representation, alld provides an interactive WYSIWYG interface for users to format equations. WITS-Math provides an equation access mechanism. Other tools can access equations in a library by cross-reference from a source file or through data exchange without knowillg the structure of equation libraries. The common data structure and the rendering object in the WITS platform ensure that the formatted equations can be directly used by other tools.