*John M. Blatt*

Pages 506-510

*J. F. Egler*

Pages 510-514

*Robert D. Rodman*

Page 515

A formula for numerical integration is prepared, which involves an exponential term. This formula is compared to two standard integration methods, and it is shown that for a large class of differential equations, the exponential …

*Arnold I. Dumey*

Page 515

M. L. Pei [

Comm. ACM 5, 10 (Oct. 1962)] gave an explicit inverse for a matrix of the form

M +

&dgr;I, where

M is an

n-square matrix of ones and

&dgr; is a nonzero parameter. The eigenvalues of the Pei matrix were given by W. S. LaSor …

*A. C. R. Newbery*

Page 515

Some computer operating systems have a bad habit of inserting tape marks into the output stream willy-nilly. This often results in loss of output when a tape is scratched after its first file has been printed. Other operating …

*Donald P. Moore*

Page 515

The technique of obtaining arctangents by inverse interpolation [1] is a relatively long process not suitable for a subroutine. The Taylor series expansion for arguments less than unity converges rather slowly for those near

&pgr; …

*Wen-Hwa Chu, Donald R. Saathoff*

Pages 516-517

*E. J. Wasscher*

Pages 517-519

*Mok-Kong Shen*

Page 517

*Misako Konda*

Page 519

*J. G. A. Haubrich*

Page 519

*E. J. Wasscher*

Page 519

*Carl B. Wright*

Pages 520-521

*Bruce H. Freed*

Page 520

*Bruce H. Freed*

Page 520

*Richard George*

Pages 521-522

*E. J. Wasscher*

Page 521

*J. Dennis Lawrence*

Page 522

*Henry C. Thacher*

Page 522

*Henry C. Thacher*

Page 523

*Henry C. Thacher*

Page 523

*R. D. Rodman*

Page 523

*Henry C. Thacher*

Page 523

A list processing system in which each list cell contains both a forward and a backward link as well as a datum is described. This system is intended for imbedding in higher level languages capable of calling functions and subroutines …

*J. Weizenbaum*

Pages 524-536

A pilot version of the compiler MIRFAC, now in the operation, is described. The chief features of the system, which is intended for the solution of scientific problems, are the presentation of mathematical formulas entirely in …

*H. J. Gawlik*

Pages 545-547

*Niklaus Wirth*

Pages 547-554

To meet the need for improved documentation of written computer programs, a simple system for effective communication is presented, which has shown great promise. The programmer describes his program in a simple format, and the …

*Donald E. Knuth*

Pages 555-563

Three-dimensional Dirichlet problems for &Dgr;

u =

F(

u),

Fu ≧ 0, are treated numerically by an exceptionally fast, exceptionally accurate numerical method. Programming details, numerous examples and mathematical theory are supplied …

*D. Greenspan, M. Yohe*

Page 564

This paper describes a general-purpose program that will handle those incomplete block designs known as square and rectangular lattices. Flow diagrams are given so that the method of calculation may be programmed for any digital …

*K. W. Smillie*

Pages 568-572

Engelbart

1 has reported on some demonstrations in which a group functions as various parts of a digital computer. These demonstrations are concerned with binary operations including addition. However, there are occasions when …

*E. M. McCormick*

Pages 573-574

*Arthur S. Radford*

Page 575

*J. Harold McBeth*

Page 575