Consider the following reductio argument against the compatibility of divine foreknowledge and human freedom: God exists at every moment of time, and is essentially omniscient in the sense that it is logically impossible for him to believe a false proposition, or to fail to believe any true proposi
A solution for the coloured cubes problem
β Scribed by J.M. Basart; P. Guitart
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 290 KB
- Volume
- 225
- Category
- Article
- ISSN
- 0304-3975
No coin nor oath required. For personal study only.
β¦ Synopsis
Let C be any set of q cubes in which every face in each one of them has to be coloured using one colour in a set K of q colours. It is asked how to raise, if it is possible, a pile with the q cubes in such a way that every colour will appear once in every one of the four faces of the pile. The case q = 4 was solved long time ago. Now, an answer is presented for the general case by means of an efficient algorithm. This method is based on a particular linear program which always produces integer solutions.
π SIMILAR VOLUMES
## Ret&veil 30 Jlme 1975 A variation scheine for the detestation of the optizzd gauge origin in the finite basis set ~cu~tiofls of second-order molecular magnetic properties, is presented. The best gauge origin ir defied in terms of the smallest possibfe violation of the completeness r&lion for a
The following problem of Yuzvinsky is solved here: how many vertices of the n-cube must be removed from it in order that no connected component of the rest contains an antipodal pair of vertices? Some further results and problems are described as well.