In this study, the characterization of position vectors belonging to non-lightlike Bertrand W curve mate with constant curvature are obtained depending on differentiable functions. The position vector of Bertrand W curve is stated by a linear combination of its Frenet frame with differentiable functions. There exist also different cases for the curve depending on the value of curvature and torsion. The relationships between Frenet apparatuas of these curves are stated separately for each case. Finally, the timelike and spacelike Bertrand curve mate visualized of given curves as examples, separately.

中文翻译：

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非轻型Bertrand W曲线：位置矢量微分方程组的一种新方法

在这项研究中，取决于微分函数，获得了具有恒定曲率的非发光Bertrand W曲线配合的位置矢量的特征。Bertrand W曲线的位置向量由其Frenet框架与可微函数的线性组合表示。取决于曲率和扭转的值，曲线也存在不同的情况。这些曲线的Frenet方法之间的关系在每种情况下分别说明。最后，分别以给定曲线为例将时空Bertrand曲线配合可视化。