英文写作时如何进行数学表达式衔接

以下例子均来自IEEE期刊论文。

The electromagnetic torque is given by ...

The electromagnetic torque can be expressed as ...

With this simplification, the voltages across the three phases of the motor load shown in Fig. 1 can bewritten
as

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.

Substituting (13)
into (11) and performing some computations, an approximate expression of the electromagnetic torque can be obtained.

Substituting (1) through (3)
in (4) gives ...
It is now possible to solve (22) in the phasor domain ...

Equation (26) can be rewritten as ...
Hence (6) reduces to ...
Solving (26) leads to

reminding that the fault severity F is low, we obtain...

Taking into account (1), we can write ...

Taking into account the aforementioned considerations and by performing a small-signal analysis to the third voltage equation found in (5)yield
...

If the flux loop bandwidth tends to infinity , (17) reducesto ...
Substituting (15) into (16) and simplifying yield ...

Looking at Fig. 2, we can now write the following: ...

对数学表达式中的变量说明可以在数学表达式后面加where…… 或者with……being，如果该变量又是其他变量得来的，可以采用given by……或者defined by……等。