It is also quite possible to extend the entire procedure to more than 2 dimensions, but that is for another day. They are obviously a consequence of the algorithm that I have used. Some slightly larger systems than the ones shown in the post can be computed, however, and their patterns are intriguing: deBruijnPlot] Also the size of the matrices increases very fast as the number of symbols, length and width increase. They are relatively slow, and you will have to respect certain rules for length and width. The functions that I introduced in this post are not optimised at all. They can help to sequence DNA and to know where you are on a plane if all you have is very local information. Here is for example a card trick based on the DeBruijnSequence. So we get: deBruijnPlot]ĭeBruijnSequences are very intriguing mathematical objects with many applications. The answer is given by the DeBruijnSequence, named after the Dutch mathematician Nicolaas Govert (Dick) de Bruijn (9 July 1918 17 February 2012). What is the shortest sequence of digits (keystrokes) that will contain all possible combination of 4 digits as subsequences? So I only needed to type in 6 keystrokes instead of 12. So if you entered 207689, it would have tested the combinations 2076, 0768, and 7689. Let's suppose that the key lock is stupid, and only remembers the last for digits you entered. Each has 4 digits so if I want to test all combinations I will need 40000 keystrokes. Explore Mathematica en la comunidad Wolfram. Visite el grupo de Wolfram Language en la comunidad Wolfram. Explore nuestra amplia selección de libros y referencias sobre tecnologías Wolfram, escritos por expertos destacados. Here I show the example of DeBruijnSequence and DeBruijnGraph which are interesting not only for safe busters. Libros de Mathematica y Wolfram Language. But MMA 11.3 also introduces a huge range of other functionality that might go a bit unnoticed but also is highly interesting. Some functions like FindTextualAnswer and FindEquationalProof quite clearly open up new possibilities and provide tools of enormous power. and other countries.The new version of Mathematica (11.3) introduces a whole range of interesting new functionality. in the United States and other countries.ģCom and HomeConnect are registered trademarks of 3Com Corporation.Īdobe, Acrobat, Acrobat Reader, Flash and PostScript are either registered trademarks or trademarks of Adobe Systems Incorporated in the United States and/or other countries.Īpple, AirPort, FireWire, iMac, iPhone, iPad, Mac, Macintosh, Mac OS, Quicktime, and TrueType are trademarks of Apple Inc., registered in the U.S. Red Hat, RPM, are trademarks or registered trademarks of Red Hat, Inc. IEEE, POSIX, and 802 are registered trademarks of Institute of Electrical and Electronics Engineers, Inc. IBM, AIX, OS/2, PowerPC, PS/2, S/390, and ThinkPad are trademarks of International Business Machines Corporation in the United States, other countries, or both. Periodicals, Journals, and MagazinesįreeBSD is a registered trademark of the FreeBSD Foundation. Common Address Redundancy Protocol (CARP) File and Print Services for Microsoft® Windows® Clients (Samba) Dynamic Host Configuration Protocol (DHCP) Lightweight Directory Access Protocol (LDAP) Locale Configuration for Specific Languages FreeBSD as a Guest on VMware Fusion for macOS® FreeBSD as a Guest on Parallels Desktop for macOS® RAID3 - Byte-level Striping with Dedicated Parity GEOM: Modular Disk Transformation Framework Configuration, Services, Logging and Power Management Installing Applications: Packages and Ports Network Interfaces, Accounts, Time Zone, Services and Hardening
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