高中生物学有不少内容涉及到数学计算,只要注意总结规律,会对生物学问题的解决产生事半功倍的效果。本文就此问题作一简要归纳总结。1.氨基酸分子脱水缩合计算公式n 个氨基酸分子缩合形成 m 条多肽链,失去的水分子个数(s)和形成的肽键个...高中生物学有不少内容涉及到数学计算,只要注意总结规律,会对生物学问题的解决产生事半功倍的效果。本文就此问题作一简要归纳总结。1.氨基酸分子脱水缩合计算公式n 个氨基酸分子缩合形成 m 条多肽链,失去的水分子个数(s)和形成的肽键个数(t)之间的关系式:s=t=n-m。例题:血红蛋白的一条多肽链中含有145个肽键,则形成这条多肽链的氨基酸分子数及缩合形成肽链时生成的水分子数依次为( )。展开更多
Derivation of the Freundlich and Temkin isotherm models from the kinetic adsorption/desorpt ion equations was carried out to calculate their thermodynamic equilibrium constants. The calculation formulae ofthree thermo...Derivation of the Freundlich and Temkin isotherm models from the kinetic adsorption/desorpt ion equations was carried out to calculate their thermodynamic equilibrium constants. The calculation formulae ofthree thermodynamic parameters, the standard molar Gibbs free energy change, the standard molar enthalpy change and the standard molar entropy change, of isothermal adsorption processes for Freundlich andTemkin isotherm models were deduced according to the relationship between the thermodynamic equilibriumconstats and the temperature.展开更多
This paper introduces the complexity and particularity of tube-sphere intersection weld(J-groove weld) and establishes the mathematical model of tube-sphere intersection trajectory.Based on the characteristics of J-gr...This paper introduces the complexity and particularity of tube-sphere intersection weld(J-groove weld) and establishes the mathematical model of tube-sphere intersection trajectory.Based on the characteristics of J-groove welds,the computational process of welding gun orientation is first simplified.Then the kinematic algorithm of a welding robot is obtained according to screw theory and exponential product formula.Finally,Solidworks and SimMechanics are employed to simulate the kinematics of the welding robot,which proves the feasibility of the kinematic algorithm.展开更多
In this paper, we study the Dirichlet problem for a singular Monge-Amp`ere type equation on unbounded domains. For a few special kinds of unbounded convex domains, we find the explicit formulas of the solutions to the...In this paper, we study the Dirichlet problem for a singular Monge-Amp`ere type equation on unbounded domains. For a few special kinds of unbounded convex domains, we find the explicit formulas of the solutions to the problem. For general unbounded convex domain ?, we prove the existence for solutions to the problem in the space C∞(?) ∩ C(?). We also obtain the local C1/2-estimate up to the ?? and the estimate for the lower bound of the solutions.展开更多
The evolution of electronic states in molecule has two origins: dynamical one produced by Schr¨odinger equation and kinematical one caused by base transformation due to nuclear motion.In current theories,the form...The evolution of electronic states in molecule has two origins: dynamical one produced by Schr¨odinger equation and kinematical one caused by base transformation due to nuclear motion.In current theories,the former gets analytic expression; the latter depends on heavy numerical calculation,which contains uncertainty.By using connection of fiber bundles,this paper establishes an analytic formula for the latter,and the numerical work is simplified.It shows the mathematical structure of molecule is fiber bundle.展开更多
文摘高中生物学有不少内容涉及到数学计算,只要注意总结规律,会对生物学问题的解决产生事半功倍的效果。本文就此问题作一简要归纳总结。1.氨基酸分子脱水缩合计算公式n 个氨基酸分子缩合形成 m 条多肽链,失去的水分子个数(s)和形成的肽键个数(t)之间的关系式:s=t=n-m。例题:血红蛋白的一条多肽链中含有145个肽键,则形成这条多肽链的氨基酸分子数及缩合形成肽链时生成的水分子数依次为( )。
文摘Derivation of the Freundlich and Temkin isotherm models from the kinetic adsorption/desorpt ion equations was carried out to calculate their thermodynamic equilibrium constants. The calculation formulae ofthree thermodynamic parameters, the standard molar Gibbs free energy change, the standard molar enthalpy change and the standard molar entropy change, of isothermal adsorption processes for Freundlich andTemkin isotherm models were deduced according to the relationship between the thermodynamic equilibriumconstats and the temperature.
基金Supported by National Natural Science Foundation of China (No. 50975195)Tianjin Research Program of Application Foundation and Advanced Technology (No. 10JCYBJC06500)
文摘This paper introduces the complexity and particularity of tube-sphere intersection weld(J-groove weld) and establishes the mathematical model of tube-sphere intersection trajectory.Based on the characteristics of J-groove welds,the computational process of welding gun orientation is first simplified.Then the kinematic algorithm of a welding robot is obtained according to screw theory and exponential product formula.Finally,Solidworks and SimMechanics are employed to simulate the kinematics of the welding robot,which proves the feasibility of the kinematic algorithm.
基金supported by National Natural Science Foundation of China(Grant Nos.11771237 and 41390452)
文摘In this paper, we study the Dirichlet problem for a singular Monge-Amp`ere type equation on unbounded domains. For a few special kinds of unbounded convex domains, we find the explicit formulas of the solutions to the problem. For general unbounded convex domain ?, we prove the existence for solutions to the problem in the space C∞(?) ∩ C(?). We also obtain the local C1/2-estimate up to the ?? and the estimate for the lower bound of the solutions.
文摘The evolution of electronic states in molecule has two origins: dynamical one produced by Schr¨odinger equation and kinematical one caused by base transformation due to nuclear motion.In current theories,the former gets analytic expression; the latter depends on heavy numerical calculation,which contains uncertainty.By using connection of fiber bundles,this paper establishes an analytic formula for the latter,and the numerical work is simplified.It shows the mathematical structure of molecule is fiber bundle.
