I am working on article writing and that's the first time that I use Latex. How to write complex equations contain cosine with latex.
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maybe https://www.learnlatex.org/ could be a useful resource – samcarter_is_at_topanswers.xyz Dec 30 '21 at 17:48
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This website is not a do-it-for-me service. You got an answer for one equation, this should be good enough that you can attempt to write the other equations yourself. – samcarter_is_at_topanswers.xyz Dec 30 '21 at 20:30
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You use
\begin{equation}
b = \frac{1}{m}(A^T\bm{1}-W^TZ\bm{1}),
\end{equation}
to type equation (20). Other equations can be typed similarly.

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Your answer could be improved with additional supporting information. Please [edit] to add further details, such as citations or documentation, so that others can confirm that your answer is correct. You can find more information on how to write good answers [in the help center](/help/how-to-answer). – Community Dec 30 '21 at 19:54