英文寫作時如何進行數學表達式銜接

以下例子均來自IEEE期刊論文。


  1. The electromagnetic torque is given by  ...
  2. The electromagnetic torque can be expressed as ...
  3. With this simplification, the voltages across the three phases of the motor load shown in Fig. 1 can bewritten as
  4. Substituting (8) and (9) into (2), having supposed that the derivative of ωr is very small, we have (10), shown at the bottom of the page. 
  5. Substituting (13) into (11) and performing some computations, an approximate expression of the electromagnetic torque can be obtained.
  6. Substituting (1) through (3) in (4) gives ...
  7. It is now possible to solve (22) in the phasor domain ...
  8. Equation (26) can be rewritten as ...
  9. Hence (6) reduces to ...
  10. Solving (26) leads to
  11. reminding that the fault severity F is low, we obtain...
  12. Taking into account (1), we can write ...
  13. Taking into account the aforementioned considerations and by performing a small-signal analysis to the third voltage equation found in (5)yield ...
  14. If the flux loop bandwidth tends to infinity , (17) reducesto ...
  15. Substituting (15) into (16) and simplifying yield ...
  16. Looking at Fig. 2, we can now write the following: ...

對數學表達式中的變量說明可以在數學表達式後面加where…… 或者with……being,如果該變量又是其他變量得來的,可以採用given by……或者defined by……等。

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