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Mathematics 16 Online
OpenStudy (daniel.ohearn1):

How can Aleph be transposed into and be represented using Calculus?

OpenStudy (kainui):

\(\aleph\) is just a letter to me, is it supposed to be a matrix you're trying to transpose with a continuous number of entries in some kind of analogous way to matrix multiplication? For instance matrix times another matrix is normally: \[\sum_{m} A_{\ell m} B_{mn} = C_{\ell n}\] In calculus we can extend this to functions: \[\int A(x,y)B(y,z) dy = C(x,z)\] I'm assuming this is what you're asking but I'm totally guessing lol. To transpose a "matrix function thingy" it'd be \[A^\top(x,y) = A(y,x)\]

OpenStudy (daniel.ohearn1):

How could describe it using a matrix? I was considering limits

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