With the mathematic derivation it is proved that the cutter meets the specification of the gear meshing under the cutting condition and can correctly shape gears that can meet the design requirement.
通过数学推导，证明了该刀具在切削工况下符合齿轮啮合原理，可切制出满足设计要求的齿轮。
The corresponding mathematic model has been established in accordance with the physical definition of the density and the expansion coefficient through formula derivation.
根据密度和膨胀系数的物理定义，通过公式推导，建立了相应的数学模型。
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