$Can someone translate $s_j : \Omega \hspace{3pt} x \hspace{3pt} [0,T_{Final}] \rightarrow S_j \subset R$ into simple English for me?$

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Can someone translate the following into simplified language? I am familiar with sets and functions, but I am not familiar with such mathematical notation. I have attached a link for more context.

$s_j : \Omega \hspace{3pt} x \hspace{3pt} [0,T_{Final}] \rightarrow S_j \subset R$

- Thank you

Partial Differential Equations Functions

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$Matchmaticians Can someone translate $s_j : \Omega \hspace{3pt} x \hspace{3pt} [0,T_{Final}] \rightarrow S_j \subset R$ into simple English for me? File #1$ File #1 (jpg)

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Martin

$Can someone translate $s_j : \Omega \hspace{3pt} x \hspace{3pt} [0,T_{Final}] \rightarrow S_j \subset R$ into simple English for me?$

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