What's the correct syntax for defining a matrix/tensor via its indices.
Clash Royale CLAN TAG#URR8PPP
up vote
0
down vote
favorite
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"?
matrices notation tensors
add a comment |Â
up vote
0
down vote
favorite
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"?
matrices notation tensors
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
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"?
matrices notation tensors
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"?
matrices notation tensors
edited Aug 19 at 21:51
asked Jan 28 at 7:11
spinkus
1257
1257
add a comment |Â
add a comment |Â
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2624608%2fwhats-the-correct-syntax-for-defining-a-matrix-tensor-via-its-indices%23new-answer', 'question_page');
);
Post as a guest
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password