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1、Theory Analysis,Mathematics AnalysisModel IntroductionEquation Description,Mathematics Analysis,1.Introduce theme and objective.2.Describe relative hypothesis,condition or definition.3.Present primary problems or basic equations.4.Analyze and get some results.5.Discuss or infer according to above re
2、sults.3-5 may repeat.,1.Describe background or theory basis of the model.use references2.List and analyze some basic equations.3.Describe the model in detail.4.Explain or discuss the important characteristics of the model.5.Depict how to apply the model in certain situation with an example.2-5 repea
3、t for each part,sub theme,or stage of the model.,Model Introduction,LayoutPunctuation,Equation Description,Notice,Describe the definition of hypothesis or concepts before using them.Present the problem before depicting the equations used.State each sub theme of the theory with summary at the end of
4、each statement.Express the relationship among sub themes if necessary.,Tense:Present tense for facts.(most)E.g.The solution can be obtained by solving Eq.(2).Future tense for new theme description in new paragraph.E.g.We will solve this problem in the context of the following model.If X=0,then the p
5、rocess will,Past tense forPast work or experiment results of the author of this paper.Hypothesis of original authors.,Voice:Passive voice.Avoid using:It is There is/are“We”as subject.,Sentences:It is supposed that.We suppose that(good)Let us suppose that Suppose that(good),After substituting this te
6、rm for y in Equation(4),the equation can be rewritten as follows.After substituting this term for y in Equation(4),We can rewrite the equation as follows.(good)If this term is substituted for y in Equation(4),the equation can be rewritten as follows.(good)Substituting this term for y in Equation(4)y
7、ields the following equation.(good),The relationship between x and y is now considered.Now let us consider the relationship between x and y.(good)Consider the relationship between x and y.(good)x and y are related in the following way.(good),Sample sentences:Consider the case in whichLet us now cons
8、ider the case Suppose that Let d and V be scalings for the length and width.We assume that under consideration here.If x=1,then we have the following equations:(equation)Given that m=1.2,we obtain(equation)The equation for Ag/At becomes(equation)The equation for Ag/At can be written/expressed asSubs
9、tituting m into Equation 3,we obtain The relationship between m and n is as follows.(equation)A is inversely proportional to B,as shown below.,Eq.5 takes the form.From this equation,the relation between x and y can be expressed as If the same material is used,the above equation reduce to We will now
10、 reduce Eq.3 to a simpler form.On substituting this equation into Eq.16 and solving for x2,The is defined as.The is given by Upon performing the integration using Eq.19,substituting a+b for x,let z=c/d,and simplifying,We will now integrate Equation 2 in order to derive the solution.We can now derive the solution to Equation 2.If Eq.16 is solved for X,
