## Contents of Volume 5, Number 1

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- On the characteristic polynomial of the product of two matrices
- William E. Roth PDF
- Proc. Amer. Math. Soc.
**5**(1954), 1-3

- On the eigenvalues of a matrix with prescribed singular values
- Alfred Horn PDF
- Proc. Amer. Math. Soc.
**5**(1954), 4-7

- Identities in finite algebras
- R. C. Lyndon PDF
- Proc. Amer. Math. Soc.
**5**(1954), 8-9

- The algebra of bounded functions
- Kenneth G. Wolfson PDF
- Proc. Amer. Math. Soc.
**5**(1954), 10-14

- On some characteristic properties of quasi-Frobenius and regular rings
- Masatosi Ikeda and Tadasi Nakayama PDF
- Proc. Amer. Math. Soc.
**5**(1954), 15-19

- The number of subgroups of given index in nondenumerable Abelian groups
- W. R. Scott PDF
- Proc. Amer. Math. Soc.
**5**(1954), 19-22

- On the order of the automorphism group of a finite group
- W. R. Scott PDF
- Proc. Amer. Math. Soc.
**5**(1954), 23-24

- Some non-abelian extensions of completely divisible groups
- Franklin Haimo PDF
- Proc. Amer. Math. Soc.
**5**(1954), 25-28

- Elliptic curves and rational distance sets
- W. D. Peeples PDF
- Proc. Amer. Math. Soc.
**5**(1954), 29-33

- A theorem of Ljunggren and Jacobsthal on Bernoulli numbers
- L. Carlitz PDF
- Proc. Amer. Math. Soc.
**5**(1954), 34-37

- A characteristic property of quadratic residues
- John B. Kelly PDF
- Proc. Amer. Math. Soc.
**5**(1954), 38-46

- A geometrical configuration which is a partially balanced incomplete block design
- Willard H. Clatworthy PDF
- Proc. Amer. Math. Soc.
**5**(1954), 47-55

- Some conditions for uniform convergence of integrals
- Emanuel Parzen PDF
- Proc. Amer. Math. Soc.
**5**(1954), 55-58

- The integral of a function with respect to a function
- Ralph E. Lane PDF
- Proc. Amer. Math. Soc.
**5**(1954), 59-66

- On a Tauberian theorem by O. SzĂˇsz
- Amnon Jakimovski PDF
- Proc. Amer. Math. Soc.
**5**(1954), 67-70

- On functions which are Fourier transforms
- R. E. Edwards PDF
- Proc. Amer. Math. Soc.
**5**(1954), 71-78

- On the behavior of Fourier coefficients
- R. Mohanty and M. Nanda PDF
- Proc. Amer. Math. Soc.
**5**(1954), 79-84

- On the absolute convergence of a Fourier-Hermite expansion of nonlinear functionals
- Margaret Owchar and Arnold J. Tingley PDF
- Proc. Amer. Math. Soc.
**5**(1954), 85-88

- Asymptotic and convergent factorial series in the solution of linear ordinary differential equations
- Robert L. Evans PDF
- Proc. Amer. Math. Soc.
**5**(1954), 89-92

- Inverse transforms of products of Legendre transforms
- R. V. Churchill and C. L. Dolph PDF
- Proc. Amer. Math. Soc.
**5**(1954), 93-100

- A note on semi-groups of unbounded self-adjoint operators
- A. Devinatz PDF
- Proc. Amer. Math. Soc.
**5**(1954), 101-102

- Perturbation of normal operators
- S. L. Jamison PDF
- Proc. Amer. Math. Soc.
**5**(1954), 103-110

- Critical points of rational functions with self-inversive polynomial factors
- F. F. Bonsall and Morris Marden PDF
- Proc. Amer. Math. Soc.
**5**(1954), 111-114

- On a class of functions schlicht in the unit circle
- A. Schild PDF
- Proc. Amer. Math. Soc.
**5**(1954), 115-120

- A remark on reversible matrices
- M. S. Macphail PDF
- Proc. Amer. Math. Soc.
**5**(1954), 120-121

- The boundedness of the solutions of a nonlinear differential equation
- Choy-Tak Taam PDF
- Proc. Amer. Math. Soc.
**5**(1954), 122-125

- Dini derivatives of continuous functions
- Anthony P. Morse PDF
- Proc. Amer. Math. Soc.
**5**(1954), 126-130

- The dissimilarity characteristic of linear graphs
- Frank Harary and Robert Z. Norman PDF
- Proc. Amer. Math. Soc.
**5**(1954), 131-135

- Some theorems on $n$-homogeneous continua
- C. E. Burgess PDF
- Proc. Amer. Math. Soc.
**5**(1954), 136-143

- Partially ordered topological spaces
- L. E. Ward PDF
- Proc. Amer. Math. Soc.
**5**(1954), 144-161

- Note on the heat equation
- Garrett Birkhoff and Jack Kotik PDF
- Proc. Amer. Math. Soc.
**5**(1954), 162-167

- On the convergence of a solution of a difference equation to a solution of the equation of diffusion
- M. L. Juncosa and D. M. Young PDF
- Proc. Amer. Math. Soc.
**5**(1954), 168-174