Volume 1 In Sequence Algebra Contains 40 papers.

Electronic Publications And Softwares - free to download. Papers and softwares are written expressly for this URL site and have not been published elsewhere. All papers are concerned with pure scientific research and recreational purposes with no commercial intentions. Please acknowledge original authors in your publications and applications. Please pay frequent visits to this Homepage to find out dates of release and revision. All papers are subject to future revisions.
========================================================

1. Source code donated by Guillermo Ballester Valor: e-mail: gbv@ctv.es. Please acknowledge original author in your publications and applications.

Source Code in C for finding Full and Incomplete GS1 sequences. (guil1.htm: 6KB.)

========================================================

2. A Simple Introduction To Sequence Algebra - by Huen Y.K. (date release: 15.3.97) (38 KBytes, 11*A4 pages).

========================================================

3. The Canonical Generating Function or CGF(z) ... - by Huen Y.K. (date released : 27.5..97) (24 KBytes, 7*A4s).

========================================================

4. Information Contents Of Number Theoretic Functions - by Huen Y.K. (date released : 29.5.97) (21.5 KBytes, 7*A4s).

========================================================

5. In Search Of Exotic Arithmetic Operators - by Huen Y.K. (date released : 1.6.97) (32 KBytes, 10*A4s).

========================================================

6. Visual Solutions Of Number Theoretic Problems ..... - by Huen Y.K. (date released : 3.6.97) (38.3 KBytes, 10*A4s).

========================================================

7. Final Value Theorem Applied To Number Sequences... - by Huen Y.K. (date released : 5.6.97) (29.4 KBytes, 9*A4s).

========================================================

8. Unsolved Problems In Sequence Algebra - by Huen Y.K. (date released : 6.6.97) (29.4 KBytes, 9*A4s).

========================================================

9. Explicit Formulation For Modular Arithmetic In Sequence Algebra - by Huen Y.K. (date released : 13.6.97) (23.7 KBytes, 7*A4s).

========================================================

10. Cyclic Generating Functions In Sequence Algebra - by Huen Y.K. (date released : 15.6.97) (20.7 KBytes, 7*A4s).

========================================================

11. Methods Of Developing Sequence Algebraic Formulations For Comp(z) and Prime(z) - by Huen Y.K. (date released : 20.6.97) (36.8 KBytes, 10*A4s).

========================================================

12. Information Contents Of Hypothetical DNA Sequences - by Huen Y.K. (date released : 27.6.97) (26.0 KBytes, 8*A4s).

========================================================

13. Composite Number Sequence Challenge 1/97 - by Huen Y.K. (date released : 28.6.97) (24.8 KBytes, 7*A4s).

========================================================

14. Lemmata, Corollaries, And Theorems In Sequence Order Analysis. - by Huen Y.K. (date released : 6.7.97) (38.3 KBytes, 12*A4s).

========================================================

15. Factorisation Of Normalised Sequences Generated By z^i/(z^i+/-1) - an interim reprot. - by Huen Y.K. (date released : 11.7.97) (25.8 KBytes, 9*A4s).

========================================================

(16) The following articles are either published or in the press but for copyright reasons, these cannot be reproduced here for download. Please contact the publishers: Taylor & Francis Ltd., 1 Gunpowder Square, London, EC4A 3DE, England, for further information:

(i) Some interesting properties of the natural number system, INT.J.MATH.EDUC.SCI.TECHNOL, 1996,VOL.27,NO.5,685-691.

(ii) Hgram patterns of Routh stability zones in linear systems, INT.J.MATH.EDUC.SCI.TECHNOL, 1997,VOL.28,NO.2,225-241.

(iii) Visual algebra and its applications, INT.J.MATH.EDUC.SCI.TECHNOL, 1997,VOL.28,NO.3, 333-344.

(iv) The twin prime problem revisited, INT.J.MATH.EDUC.SCI.TECHNOL.,199?,VOL.??, NO.?,???-???, proof paper mes-0488 (10 pages).

(v) Is Pie Periodic?, INT.J.MATH.EDUC.SCI.TECHNOL.,199?,VOL.??,NO.?,???-???, (in the press).

========================================================

17. Is It A Number Line Or A Number Generator? - by Huen Y.K. (date released : 28.7.97) (24.5 KBytes, 7*A4s).

========================================================

18. Some Interesting Contiguity Properties Of Odd(z)^2 - by Huen Y.K. (date released : 15.8.97) (36.3 KBytes, 10*A4s).

========================================================

19. What Is So Special About GS1(109):0 - by Huen Y.K. (date released : 16.8.97) (29.3 KBytes, 9*A4s).

========================================================

20. What About A Padless One-Time Pad? - by Huen Y.K. (date released : 22.8.97) (12 KBytes, 6*A4s).

========================================================

21. Sequence Algebra Modelling Of Pixel Colours - by Huen Y.K. (date released : 3.9.97) (22 KBytes 6*A4s).

========================================================

22. The Extended Natural Number Sequences - by Huen Y.K. (date released : 10.9.97) (41 KBytes ).

========================================================

23. Improved Formulations For Comp(z) and Prime(z) - by Huen Y.K. (date released : 16.9.97) (17 KBytes ).

========================================================

24. Detecting False Reports in Primality Tests By The Oddcomp(z) Method. - by Huen Y.K. (date released : 18.9.97, Revised 20/9) (26 KBytes ).

========================================================

25. The Throwing Power Of Oddcomp(z). - by Huen Y.K. (date released : 24.9.97 ) (15 Kbytes).

========================================================

26. Sequence Algebraic Approach To Prime Number Theorem - by Huen Y.K. (date released : 28.9.97 ) (21 Kbytes).

========================================================

27. Generating Functions - Closed Forms vs Open Forms - by Huen Y.K. (date released : 1.10.97 ) (21 Kbytes).

========================================================

28. Generating Large Odd Composite With Two Prime Factors - by Huen Y.K. (date released : 3.10.97 ) (13.5 Kbytes).

========================================================

29. In Search Of Counter- Examples In Maple's Isprime Function. - by Huen Y.K. (date released : 4.10.97 ) (18 Kbytes).

========================================================

30. A Sequence Algebraist's View Of Lehmann's Primality Test - by Huen Y.K. (date released : 6.10.97 ) (26 Kbytes).

========================================================

31. On Odd(z), Oddcomp(z), Seq1(z) and Seq2(z) - by Huen Y.K. (date released : 10.10.97 ) (17 Kbytes).

========================================================

32. How To Generate A Short And Contiguous Oddcomp(z) Sequence? - by Huen Y.K. (date released : 15.10.97 ) (13 Kbytes).

========================================================

33. Algebraic Proof To A Problem Posted In Challenge 2 - by Huen Y.K. (date released : 3.11.97, revised 4/11 ) (13 Kbytes).

============Please switch to IE3 or IE4 to read this paper========

(34) Spontaneous Generation Of Number Sequences In A Primeval Number Soup - by Huen Y.K. (date released : 23.11.97) (bios.htm 1 K, bios.alx 5 K).

========================================================

(35) A Sketch Of Test-Tube Evolution In A Primeval Number Soup - by Huen Y.K. (date released : 25.11.97) (paper35.htm 1 K).

========================================================

(36) Harmonic Forces Of A Induction Energy Meter - by Huen Y.K. (date released : 30.11.97) (paper36.htm 41 K, energy1.gif 15 k).

========================================================

(37) The Development Of Equation Of Factoring - by Huen Y.K. (date released : 5.12..97) (paper37.htm 22 K).

========================================================

(38) In Search Of Primes From The XGS Sequence - by Huen Y.K. (date released : 8.12..97) (paper38.htm 23 K).

========================================================

(39) In Search Of XGS3-primes. - by Huen Y.K. (date released : 8.12..97) (paper39.htm 22 K).

========================================================

(40) Tables Of XGS$- and XGS5-Primes. - by Huen Y.K. (date released : 11.12..97) (paper40.htm 14 K).

========================================================

This is the end of Volume 1 in the sequence algebra series. Click to go to Volume 2 please.

========================================================

1. Go back to Homepage.