What's the correct syntax for defining a matrix/tensor via its indices.

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This is a question about math notation. The context is, I'm trying to correctly define a problem of scheduling the flow through a set of devices, $D = d_1, d_2, ... d_n$, over a finite discrete future planning horizon $T$ = $(1,2,3dots,60)$. The schedule of all devices over the planning horizon can be described by a real valued matrix, $Q$, with $|D|$ rows and $|T|$ columns. To define $Q$ I could state just that. But given a definition of $D$ and $T$ which form the "index sets", or just "indices" of matrix, to define $Q$ could/should I just say "Let $Q = D times T rightarrow mathbbR$", or something else that is more succinct and direct than "Let $Q$ be a matrix with $|D|$ rows and $|T|$ columns"?







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    This is a question about math notation. The context is, I'm trying to correctly define a problem of scheduling the flow through a set of devices, $D = d_1, d_2, ... d_n$, over a finite discrete future planning horizon $T$ = $(1,2,3dots,60)$. The schedule of all devices over the planning horizon can be described by a real valued matrix, $Q$, with $|D|$ rows and $|T|$ columns. To define $Q$ I could state just that. But given a definition of $D$ and $T$ which form the "index sets", or just "indices" of matrix, to define $Q$ could/should I just say "Let $Q = D times T rightarrow mathbbR$", or something else that is more succinct and direct than "Let $Q$ be a matrix with $|D|$ rows and $|T|$ columns"?







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      This is a question about math notation. The context is, I'm trying to correctly define a problem of scheduling the flow through a set of devices, $D = d_1, d_2, ... d_n$, over a finite discrete future planning horizon $T$ = $(1,2,3dots,60)$. The schedule of all devices over the planning horizon can be described by a real valued matrix, $Q$, with $|D|$ rows and $|T|$ columns. To define $Q$ I could state just that. But given a definition of $D$ and $T$ which form the "index sets", or just "indices" of matrix, to define $Q$ could/should I just say "Let $Q = D times T rightarrow mathbbR$", or something else that is more succinct and direct than "Let $Q$ be a matrix with $|D|$ rows and $|T|$ columns"?







      share|cite|improve this question














      This is a question about math notation. The context is, I'm trying to correctly define a problem of scheduling the flow through a set of devices, $D = d_1, d_2, ... d_n$, over a finite discrete future planning horizon $T$ = $(1,2,3dots,60)$. The schedule of all devices over the planning horizon can be described by a real valued matrix, $Q$, with $|D|$ rows and $|T|$ columns. To define $Q$ I could state just that. But given a definition of $D$ and $T$ which form the "index sets", or just "indices" of matrix, to define $Q$ could/should I just say "Let $Q = D times T rightarrow mathbbR$", or something else that is more succinct and direct than "Let $Q$ be a matrix with $|D|$ rows and $|T|$ columns"?









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      edited Aug 19 at 21:51

























      asked Jan 28 at 7:11









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