It takes the average reader and 44 minutes to read Regular Boundary Value Problems Associated with Pairs of Ordinary Differential Expressions by Earl A. Coddington
Assuming a reading speed of 250 words per minute. Learn more
It is well known that two hermitian n x n matrices K, H, where H is positive definite, H > 0, can be simultaneously diagonalized. The key to the proof is to consider C[superscript]n, where C is the complex number field, as a Hilbert space [Fraktur capital]H [subscript]H with the inner product given by (f,g) = g*Hf, where f,g [lowercase Greek]Epsilon C[superscript]n, considered as a space of column vectors. Then the operator A = H−1K is selfadjoint in [Fraktur capital]H [subscript]H, and the spectral theorem readily yields the result. Of course such A, when K is not hermitian, can also be investigated in [Fraktur capital]H [subscript]H. We consider a similar problem where K, H are replaced by a pair of ordinary differential expressions L and M, where M > 0 in some sense. Two difficulties arise: (1) there are many natural choices for a selfadjoint H > 0 generated by M, and hence many choices for [Fraktur capital]H [subscript]H, and (2), once a choice for H has been made, there are many choices for the analogue of A. In our work we consider all possible choices for H > 0 and the analogue of A.
Regular Boundary Value Problems Associated with Pairs of Ordinary Differential Expressions by Earl A. Coddington is 44 pages long, and a total of 11,176 words.
This makes it 15% the length of the average book. It also has 14% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 1 hour and 1 minute to read Regular Boundary Value Problems Associated with Pairs of Ordinary Differential Expressions aloud.
Regular Boundary Value Problems Associated with Pairs of Ordinary Differential Expressions is suitable for students ages 8 and up.
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