Zobrazeno 1 - 10
of 17
pro vyhledávání: '"R. B. Potts"'
Publikováno v:
Computer-Aided Engineering Journal. 8:134
Verification that the various parts of an assembly fit together correctly is an important use of CAD systems. This can also extend to mechanism simulation. It can, however, be time-consuming if the CAD system is not sufficiently sophisticated. An alt
Autor:
C. E. M. Pearce, R. B. Potts
Publikováno v:
Journal of the Australian Mathematical Society. 22:343-361
Some non-trivial real, symmetric square roots of the infinite identity matrix are exhibited. These may be found either from the use of involutory integral transforms and a set of real orthonormal functions or by an algebraic factorisation procedure.
Publikováno v:
Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture. 203:167-174
Computer aided design systems tend to work simply in terms of geometric entities. Any intelligence that could be implanted in the system would, however, need to deal with the function of the design being described. This requires the system to handle
Autor:
R. B. Potts, A. Helfgott
Publikováno v:
The Mathematical Gazette. 61:247-252
A few years ago, a well known laundry detergent manufacturer ran a sales-promotion competition in Australia called “Jack-in-the-box”, with the following rules:1.Draw a continuous line through 13 of the numbered squares (see Fig. 1). The numbers i
Autor:
H. Messel, R. B. Potts
Publikováno v:
Il Nuovo Cimento. 10:754-778
A theory of cosmic ray showers is presented which embraces the following features: it is assumed that the primary radiation consists of nucleons; the nucleons generate the pion component by collision with nuclei; the charged pions decay into muons; t
Autor:
R. B. Potts, Cyril Domb
Publikováno v:
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences. 210:125-141
The statistics of the rectangular lattice with first and second neighbour interactions is discussed in detail. Several terms of the low-temperature series for the partition function are obtained for the case when the interactions are ferromagnetic, a
Publikováno v:
Proceedings of the Physical Society. Section A. 65:473-480
The complete analytical solution of the fluctuation problem for nucleon cascades developing in a finite absorber is given. Expressions are obtained for the general number distribution function and for the nth moments.
Autor:
R B Potts
Publikováno v:
Proceedings of the Physical Society. Section A. 68:145-148
The combinatorial method of Kac and Ward is used to derive the partition function of an infinite two-dimensional triangular Ising Lattice. The result agrees with that obtained by algebraic methods.
Autor:
J. L. Byrne, R. B. Potts
Publikováno v:
Transportation Science. 7:224-245
The problem of rostering toll collectors for a toll facility such as a bridge, tunnel, or expressway is formulated as an integer program. The working regulations for full-time and part-time shifts give special structure to the program. An eight phase
Autor:
B. T. Bennett, R. B. Potts
Publikováno v:
Journal of the Australian Mathematical Society. 7:23-31
Consider an m × n rectangular array whose m rows are permutations of 1, 2, …, n. Such an array will be called a constant-sum array if the sum of the elements in each column is the same (and equal to ½m (n+1)). An example of a 3×9 constant-sum ar