*Jean E. Sammet*

Page 651

Page 652

This year the whole world celebrates the five-hundredth birthday of Nicolaus Copernicus, the famous Polish astronomer and mathematician. In 1543, Copernicus published his book,

Concerning the Revolutions of Celestial Spheres, …

*Charles W. Bachman*

Pages 653-658

Dynamic verification of a decision implies that every time the decision is made there is a consistency check performed on the decision using independent hardware and software. The dynamic verification of operating system decisions …

*R. S. Fabry*

Pages 659-668

This paper describes a parser-generating system (PGS) currently in use on the CDC-6500 computer at Purdue University. The PGS is a Fortran-coded program that accepts a translation grammar as input and constructs from it a compact …

*M. D. Mickunas, V. B. Schneider*

Pages 669-676

Most graphics systems using a raster scan output device (CRT or hardcopy) maintain a display file in the XY or random scan format. Scan converters, hardware or software, must be provided to translate the picture description from …

*B. W. Jordan, R. C. Barrett*

Pages 676-682

Automatic theorem-provers need to be made much more efficient. With this in mind, Slagle has shown how the axioms for partial ordering can be replaced by built-in inference rules when using a particular theorem-proving algorithm …

*James R. Slagle, Lewis M. Norton*

Pages 682-688

This algorithm uses a rational variant of the QR transformation with explicit shift for the computation of all of the eigenvalues of a real, symmetric, and tridiagonal matrix. Details are described in [1]. Procedures

tred1 or …

*Christian H. Reinsch*

Page 689

*G. W. Hill*

Page 690

*Gideon Ehrlich*

Pages 690-691

*N. Brenner*

Pages 692-694

*Norman Brenner*

Pages 692-694

*T. N. L. Patterson*

Pages 694-699

*C. Lam, J. McKay*

Page 699

A counterexample to the supposed optimality of an algorithm for generating schedules for trees of tasks with unequal execution times is presented. A comparison with the “critical path” heuristic is discussed.
*Peter J. Denning, G. Scott Graham*

Pages 700-702

R.P. Brent in his presentation of a modification to the linear quotient algorithm [1] shares the common misconception that dynamic chaining requires larger table entries because of the space required for link fields.
*Jerome A. Feldman, James R. Low*

Page 703

With this note I hope to bridge the gap between the adherents of structured programming and the devotees of the unrestricted

goto. I describe a style of programming which combines the advantages of structured programming with …

*Eberhard Wegner*

Pages 704-705

A generalization of a scheme of Hamming for converting a polynomial P

n(x) into a Chebyshev series is combined with a recurrence scheme of Clenshaw for summing any finite series whose terms satisfy a three-term recurrence formula …

*Herbert E. Salzer*

Pages 705-707

An explicit approximate solution ƒ

(h)&agr; is given for the equation ƒ(

t) = ∫

∞0 k(

t -

&tgr;)ƒ(

&tgr;)

d&tgr; +

g(

t),

t > 0, (*) where

k, g ∈

L1(- ∞, ∞) ∩

L2(-∞, ∞), and where it is assumed that the classical Wiener-Hopf technique may be applied …

*Frank Stenger*

Pages 708-710

Two methods for solving the biharmonic equation are compared. One method is direct, using eigenvalue-eigenvector decomposition. The other method is iterative, solving a Poisson equation directly at each iteration.
*L. W. Ehrlich*

Pages 711-714

*Ellis Horowitz*

Page 715