In criminal identification , the science of identification procedure is undoubtedly prerequisite to guarantee the correct identification conclusion, but the rationality of the procedure is also an important term to guarantee the correct conclusion, and the rational criminal identification procedure is very important to use the criminal identification conclusion correctly in the trial procedure.

Based on the principles of the common side of neibour elements passed through by a contour and the total number of elements controlling the contour to pass through the commonside, a method of automatic contour plotting by direct approximation is presented. The method is proved by several practical applications to have clear concept,less calculation, correct conclusion.

On the basis of having studied the method of discriminant analysis,this paper applies this method into the decision of science funding selection and then reached correct conclusion.

This thesis is intended to apply GIS (geography information system) and various mathematics methods to make a systematical study of the county-level economy of Quanzhou City in combination with district economics, development economics and economic geography so as to draw an objective and correct conclusion.

These solutions can be expressed as some linear combination of solutions of Burgers equation and RLW equation or KdV equation which correct conclusion in some paper.

Inductive reasoning plays an important role in legal reasoning of case-law, although it only has the relative validity in logic, which means that in spite of its “inductive blemish”, the liable correct conclusion can be arrived at with the work of inductive principles.

Although Kahn's theorizing may be criticized in various ways, there is no doubt that he succeeds in arriving at the correct conclusion.

Without taking into account different methods for fat injection, there is a 95% correct conclusion that it is immaterial whether the syringe or a cannula with a pump is used.

Review of multiple studies is often necessary to reach the correct conclusion and clinical history is necessary.

The present paper demonstrates a fallacy in the published arguments which lead to the above conclusion, and gives the correct conclusion which can be deduced from the hypotheses.

There are no diagnostic clinical or radiological criteria that would help to arrive at a correct conclusion regarding the pathology.

The existence problem of optimal control systems described by x=f(t, x,u) is discussed in this paper, where f(t,x,u) is a more general function and the class of admissible control functions are general enough to contain those control functions which are frequently used in engineering. The problem for an optimal control approximated by a sequence of control functions being part of certain function classes is considered here, an example in contradiction with the conclusion of Ref.[1] about this problem is given,...

The existence problem of optimal control systems described by x=f(t, x,u) is discussed in this paper, where f(t,x,u) is a more general function and the class of admissible control functions are general enough to contain those control functions which are frequently used in engineering. The problem for an optimal control approximated by a sequence of control functions being part of certain function classes is considered here, an example in contradiction with the conclusion of Ref.[1] about this problem is given, and ε correct conclusion is presented.

According to the generalized orthogonality theorem we try to show that wecan very easily come to some useful correct conclusions from only one charactervector of certain representations.The fundamental relationship is as the follo-wing:∑(?)x_(?)(R)=hδ_(?)For example,wc can check whether character table is correct or incorrect,judgewhether totally symmetric irreducible representation is contained in direct pro-duct representation or not,examine if the calculation of the character of a certainreducible...

According to the generalized orthogonality theorem we try to show that wecan very easily come to some useful correct conclusions from only one charactervector of certain representations.The fundamental relationship is as the follo-wing:∑(?)x_(?)(R)=hδ_(?)For example,wc can check whether character table is correct or incorrect,judgewhether totally symmetric irreducible representation is contained in direct pro-duct representation or not,examine if the calculation of the character of a certainreducible representation is right,and define the times of totally symmetric irred-ucible representation in this reducible representation.In this paper,we also try togive a general proof,instead of a qualitative explaination as what is done usua-lly,that the bases of different irreducible representations are othogonal and thusshow the rules of how to determine the vanishing integrals.

本文根据广义正交定理指出,仅仅由某个表示的特征标矢量就能简易地得到一些有用的正确结论。基本关系式是sum from n to (?) x_i(R)=hδ_(iA)例如核对特征标表是否正确;判断直积表示中是否包含全对称的不可约表示;检查某可约表示特征标的运算是否有误;确定全对称不可约表示在此可约表示中出现的次数等。对于不同的不可约表示的基相互正交和零积分的确定原则,也能简易地给出一个一般性的证明,而不是通常所作的那样只进行一些解释性的说明。

This paper points out that the formula of the power spectral density of Markov sourses cited by Lindsey and Simon is in conflict with certain known modulated signal and the correct conclusion is presented.