On uniformly continuous function space U(G), Equivalence of invariant mean and topological invariant mean is showed by two methods.
设G为局部紧群，在一致连续函数空间U（ G）上，用两种方法证明左不变平均和拓扑左不变的等价性。
Closed interval continuous function and continuity theorem of real number apply to a novel demonstration of general theorem of the mean.
应用闭区间连续函数性质和实数连续性定理，给出证明广义中值定理的一个新思路。
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