1·What this is telling us is that we just have a chemical potential, of Helmholtz free energy per molecule.
这告诉我们的是，我们只有化学势，每个分子的亥姆霍兹自由能。
2·So a pretty simple form for the Helmholtz free energy.
亥姆霍兹自由能的一个比较简单的形式。
3·The propagation modes in selfco fiber, which features the laguerre Gauss distributions, are derived by solving the helmholtz wave equation incylindrical coordinates.
从亥姆霍兹方程出发，导出了自聚焦光纤中传导模在圆柱坐标系中的场分布形式，并给出了几个低阶模的分布图。
4·Rather than accept this rejection constructively, Helmholtz found a printer willing to help him self-publish his work.
而非拒绝接受这个建设性的，亥姆霍兹发现打印机愿意帮助他自公布他的工作。
5·Thus, Mayer, Helmholtz and Joule laid the foundation of the theory at almost the same time.
因此，梅耶，亥姆霍兹和焦耳奠定了基础理论，几乎在同一时间。