Theory AnalysisTheory Analysisn nMathematics AnalysisMathematics Analysisn nModel IntroductionModel Introductionn nEquation DescriptionEquation DescriptionMathematics AnalysisMathematics Analysisn n1. Introduce theme and objective.1. Introduce theme and objective.n n2. Describe relative 2. Describe relative hypothesishypothesis, , conditioncondition or or definitiondefinition. .n n3. 3. PresentPresent primary primary problemsproblems or basic or basic equationsequations. .n n4. 4. AnalyzeAnalyze and get some results. and get some results.n n5. 5. DiscussDiscuss or or inferinfer according to above results. according to above results.n n3-5 may repeat.3-5 may repeat.n n1. Describe 1. Describe backgroundbackground or theory basis of the or theory basis of the model. use referencesmodel. use referencesn n2. 2. ListList and and analyzeanalyze some basic equations. some basic equations.n n3. 3. DescribeDescribe the model in detail. the model in detail. n n4. 4. ExplainExplain or or discussdiscuss the important the important characteristics of the model.characteristics of the model.n n5. 5. DepictDepict how to apply the model in certain how to apply the model in certain situation with an example.situation with an example.n n2-5 repeat for each part, sub theme, or stage of 2-5 repeat for each part, sub theme, or stage of the model.the model.Model IntroductionModel Introductionn nLayoutLayoutn nPunctuation Punctuation Equation DescriptionEquation DescriptionNoticeNoticen nDescribe the definition of hypothesis or Describe the definition of hypothesis or concepts concepts beforebefore using them. using them.n nPresent the problem Present the problem beforebefore depicting the depicting the equations used.equations used.n nState each sub theme of the theory with State each sub theme of the theory with summarysummary at the end of each statement. at the end of each statement. Express the Express the relationshiprelationship among sub among sub themes if necessary.themes if necessary.n nTense:Tense: Present tensePresent tense for facts. (most) for facts. (most) E.g.E.g. The solution can be obtained by solving Eq. (2).The solution can be obtained by solving Eq. (2). Future tenseFuture tense for new theme description in for new theme description in new paragraph.new paragraph. E.g.E.g. We will solve this problem in the context of the following We will solve this problem in the context of the following model.model. If X = 0, then the process will If X = 0, then the process will Past tensePast tense for for Past work or experiment results of the author of Past work or experiment results of the author of this paper.this paper. Hypothesis of Hypothesis of originaloriginal authors. authors.n nVoice:Voice: Passive voice.Passive voice.n nAvoid using:Avoid using: It is It is There is/are There is/are n n“ “WeWe” ” as subject. as subject.n nSentences:Sentences: It is supposed that It is supposed that . . We suppose that We suppose that (good) (good) Let us suppose that Let us suppose that Suppose that Suppose that (good) (good) After substituting this term for y in Equation (4), the After substituting this term for y in Equation (4), the equation can be rewritten as follows.equation can be rewritten as follows. After substituting this term for y in Equation (4), We After substituting this term for y in Equation (4), We can rewrite the equation as follows. (good)can rewrite the equation as follows. (good) If this term is substituted for y in Equation (4), the If this term is substituted for y in Equation (4), the equation can be rewritten as follows. (good)equation can be rewritten as follows. (good) Substituting this term for y in Equation (4) yields the Substituting this term for y in Equation (4) yields the following equation. (good)following equation. (good) The relationship between x and y is now The relationship between x and y is now considered.considered. Now let us consider the relationship between Now let us consider the relationship between x and y. (good)x and y. (good) Consider the relationship between x and y. Consider the relationship between x and y. (good)(good) x and y are related in the following way. x and y are related in the following way. (good)(good)n nSample sentences:Sample sentences: Consider the case in whichConsider the case in which Let us now consider the case Let us now consider the case Suppose that Suppose that Let d and V be Let d and V be scalingsscalings for the length and width. for the length and width. We assume that We assume that under consideration here. under consideration here. If x = 1, then we have the following equations: (equation)If x = 1, then we have the following equations: (equation) Given that m = 1.2, we obtain Given that m = 1.2, we obtain (equation) (equation) The equation for Ag/A