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The Journal of Mathematics

Aims and Scope: Welcome to The Journal of Mathematics. The Journal accepts manuscripts dealing with fundamental and applied aspects of Mathematics to serve the domain better.

Mathematics calculation measurement shapes Applied mathematics statistics pure mathematics group theory data surveys mean median data collection randomness survey samples probability distributions probability theory data mining time series population sample hypothesis testing estimation forecasting prediction extrapolation interpolation spatial data data set experimental design sampling distributions statistical significance null hypothesis random variable Analysis of variance Chi-squared test Factor analysis Mann–Whitney U Mean square weighted deviation Pearson product-moment correlation coefficient Regression analysis Spearman's rank correlation coefficient Student's t-test Time series analysis arithmetic algebra geometry analysis logic foundations of mathematics mathematical logic sets mathematical structures Morse theory axiomatic set theory Trigonometry numbers natural numbers integers number theory aleph numbers predictions modelling procedure parameter estimation mathematical statistics Computational mathematics graph theory approximation computer algebra symbolic computation subset Alternative set theory Family of sets Fuzzy set Internal set Internal set Set notation Real analysis Calculus Calculus Linear algebra Number theory Ordinary differential equation General topology Differential geometry Group ring Complex analysis Object-oriented programming Functional analysis Module Mechanics Lebesgue integration Field theory Combinatorics Differentiable manifold Algebraic topology Lattice Measure Feature integration theory Differentiation under the integral sign Joseph Gallian Inder Bir Singh Passi Israel Nathan Herstein Martin Kerala Iyers Thomas Howard Fraleigh Root-finding algorithm System of linear equations Eigenvalues and eigenvectors Differentiation under the integral sign Initial value problem Bradie Ewing Kendall E. Atkinson Cauchy theorem Cauchy's integral theorem Logarithm Fourier series Harmonic function Complex analysis Countable set Uncountable set Continuum hypothesis Infinite set Continuum hypothesis Limit point compact Tychonoff's theorem Tychonoff space Ring theory Preliminary The Matrix Polynomial expansion Power series Laurent series Boolean ring Opposite ring Field of fractions Polynomial ring Tychonoff's theorem Linear map Vector space Linear map Eigenvalues and eigenvectors Metric space Symmetric bilinear form Euclidean space

Author Guidelines:

You can submit: Case Report, Research article, Review, Letter, Technical Report, Discovery, News, Proceedings of Conference/ Seminar/ Workshop, and your innovative ideas.

How to submit: Attach your word file with e- mail and send it to photonjournal@yahoo.com

How to prepare submission: Prepare your submission in Times New Roman font size 12 in a compatible mode word file. Include following information if it is a research paper-

Name of Journal- The Journal of Mathematics

1. Category- Research article/ Review/ Technical Report/... 2. Title, 3. Authors and their affiliations with e mail addresses, 4. Corresponding Author, 5. Abstract, 6. Keywords,

7. Introduction, 8. Materials and Methods, 9. Results, 10. Discussion, 11. Conclusion, 12. Acknowledgement, 13. References. Include Table/s and Figure/s if there any.

Reference Style inside Text: (Hordegen et al., 2003; Arab Mahdvi et al., 2008).

Reference Citation: Hordegen P., Hertzberg H., Heilmann J., Langhans W., Maurer V., 2003. The anthelmintic efficacy of five plant products against gastrointestinal trichostrongylids in artificially infected lambs. Veterinary Parasitology 117(3), 51–60.

Fast Peer Review: Within 12 days

After acceptance: Abide by terms and conditions accepted manuscripts are published online as absolutely free access to readers. Corresponding author is informed as earliest.

The Journal of Mathematics is indexed at Photon, Photon Ignitor, World PubMed Archive, Academic Research Library, Academic Research Bank, Journal Resource and Public Library For Journals.

Photon Books

Photon eBooks: Submit your eBook proposals/ book chapters/ thesis at: photonjournal@yahoo.com
Chapters will be published instantly as these are ready without any delay caused by other chapter submission.

International Library for Thesis

International Library for Thesis is indexing and publishing world’s all Thesis, Dissertation and Project Works. It includes Ph.D, Post Doc, D.Sc, M.Phil, M.D., M.S., D.M., M.B.B.S., B.Tech, M.Tech, Graduate and Post Graduate thesis, Diploma and Project Works. It is covering all subjects from every country. International Library for Thesis serves Free Access to readers where they could be benefited with your thesis work for its further implementation and global partnership with due citations. International Library for Thesis will also accredit outstanding Thesis with awards in respective categories. Thesis authors/ students and Supervisor/ Co-Supervisors/ Guides are invited to submit their thesis/ research to International Library for Thesis at photonjournal@yahoo.com

You can also choose to earn worldwide Royalty on your Thesis, (optional). Let your outstanding Thesis work, implement globally and spark the allied streams.

Submit your Thesis as attached pdf file at: photonjournal@yahoo.com

Note:-

-You will automatically receive Certificate upon your Thesis submission at International Library for Thesis.

-You will also be issued unique identification number for worldwide publicity and citation of your Thesis.

- Thesis should already be submitted to concerned University/ College/ Institute at the time of its indexing at International Library for Thesis.

- Research Students/ Supervisor/ Co-supervisors are eligible to submit their Thesis as attached pdf file at: photonjournal@yahoo.com

Academic Excellence Award: Nominations are invited for the international award at: photonjournal@yahoo.com Criteria includes meritorious contribution in research, intellectual knowledge, teaching and public private partnership.

Photon Research Award: Photon is accepting excellent research thesis for publication. Now you can submit us your thesis to be published on international platform for Thesis. It includes Ph.D, Post Doc, D.Sc, M.Phil, M.D., M.S., D.M., Graduate and Post Graduate thesis and project work. The Global Project will illuminate the thesis for international readers where they could be benefited with the thesis work for its further implementation and global partnership. Outstanding contributions will be awarded with Photon Research Award; world's highest recognition in this segment.

Photon Research Award Even, if you have already published your research in Mathematics, in your career, still you can send it for screening/ nomination for Photon Research Award. Your research must already be published in any National or International Journal of repute. It can also be your research thesis (already submitted/ Co-/ supervised by you). You should send it as attached pdf file with your biography at: photonjournal@yahoo.com The last date is 31 December,

Every Year.

Certificate Program in Mathematics Applications are invited each month for Certificate Program in Mathematics authorized by The Journal of Mathematics.

Qualification: Applicants must have published at least 2 research articles in peer reviewed international journals / Patents, can enrol for the certificate program.

Duration & Structure of the Program: One month. The Candidates will be required to submit a review article on current trends and scope in the subject area at photonjournal@yahoo.com for publication at The Journal of Mathematics.

Certificate Program is designed to cater Grade Promotion, recruitment, Funding, Tenure Extension, Fellowship, admission and appointments. Applicants should submit 2 scientific contributions, published at any International Journal of repute/ Patents to : photonjournal@yahoo.com as attachment to qualify for Certificate Program. Participants will be recognized as Resource Person/ Recognized Expert in concerned field/ Techniques. Teaching Faculties and Scientists can also enrol for Refresher Course. Candidates can enroll for the program through out year and will be awarded the certificate with in week. The last date is 31 December, Every Year.

International Conference on Mathematics (Webinar)

Participants should join the Conference (Webinar) each month on related contents. Submit your Paper / Abstracts to present at Webinar before the end of each month at: photonjournal@yahoo.com as attachment. Faculty and research students can present the papers. The participants will be recognized with Certificates for paper presentation. The conference covers all aspects of subject. Papers are also acceptable as co-authors. Length of the paper should be below 500 words. More than one paper can also be presented.

Register for Conference:

15 January,

New York

15 February,

Moscow

15 March,

Pennsylvania

15 April, Tokyo

15 May, London

15 June, Paris

15 July, Washington

15 August,

Bejjing

15 September,

Seoul

15 October,

Florida

15 November, Chicago

15 December, Berlin Every year

Paper Presentation in Conference-

To Present your published/ unpublished paper, Register at photonjournal@yahoo.com with abstract of paper/ research article/ case report/ review. Students and Faculty (Professor, Associate Professor, Assistant Professor, Lecturer) can also register for online Poster Presentation on

The Journal of Mathematics

: You need to submit your presentation slides and paper as attachment to photonjournal@yahoo.com

Poster Presentation in Conference-

Students can also submit poster presentation as MS- Power Point slide at photonjournal@yahoo.com for World Academic Championship.

Registration can be done at photonjournal@yahoo.com before last date of every month each year.

Dr. Peter McCarthy is conferred with Pythagoras Research Award-2015 in

Applied Mathematics

Gurmeet Singh is conferred with Pythagoras Research Award-2016 in Mathematics



Photon is indexing your contributions in Mathematics in terms of research, policy, academics, teaching, marketing and commercialization. You should submit your all scientific contributions at: photonjournal@yahoo.com for international listing and recognition. The last date is 31 December, Every Year.

Thomas Edison Award: Thomas Edison Award is acknowledged for Inspiration and Knowledge Distribution among young research scholars. This is world's prestigious award, dedicated to most innovative researchers. Scientists/ academicians, recipient of the award impact the scientific domain with their excellent research work and incubate cutting edge research across the globe.

Photon Young Scientist Program  (PYSP):

PYSP encourages Undergraduate, Post Graduate and Research students/ fellow with a passion of Research and Development in their chosen area of interest in Science or Technology to excel in research. Students are encouraged to write and submit a Short Communication or a Review Article along with their ‘own’ and ‘original’ research idea. Their submissions would be screened on the basis of merit and novelty in Global Perspective. Screened submissions would be sent for peer review. Accepted articles would be published in Photon Journals under young scientist category. Editor-in-Chief may recommend selected articles to appropriate Photon Journals subject to their Aims and Scope. PYSP identifies world’s best innovative minds that have calibre to excel in their chosen area of research. Such innovative minds would be awarded with Young Scientist under PYSP.

Photon eBooks: Submit your eBook proposals/ book chapters at: photonbooks@yahoo.com Chapters will be published instantly as these are ready without any delay caused by other chapter submission

Useful Links:

National Center for Biotechnology Information: NCBI: http://www.ncbi.nlm.nih.gov/

World Health Organization: WHO: http://www.who.int/en/

Centers for Disease Control and Prevention: CDC: http://www.cdc.gov/

U.S. Department of Agriculture: USDA: http://www.usda.gov/wps/portal/usda/usdahome

US Environmental Protection Agency: EPA: http://www.epa.gov/

Food and Agriculture Organization of the United Nations: FAO: http://www.fao.org/index_en.htm

Codex Alimentarius Commission: CAC: http://www.codexalimentarius.org/

United Nations Educational, Scientific and Cultural Organization: UNESCO: http://www.unesco.org/new/en/

National Institutes of Health: NIH: http://www.nih.gov/

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Archive:

Volume 107  Volume 106 Volume 105

Volume 104 Volume 103 Volume 102 Volume 101 Volume 100 Volume 99 Volume 98 Volume 97 Volume 96 Volume 95 Volume 94

Volume 93 Volume 92 Volume 91 Volume 90 Volume 89 Volume 88 Volume 87 Volume 86 Volume 85 Volume 84  Volume 83 Volume 82

Volume 81 Volume 80 Volume 79 Volume 78 Volume 77   Volume 76 Volume 75 Volume 74 Volume 73 Volume 72 Volume 71  Volume 70

Volume 69  Volume 68  Volume 67 Volume 66 Volume 65  Volume 64 Volume 63  Volume 62 Volume 61 Volume 60  Volume 59 Volume 58

Volume 57 Volume 56 Volume 55 Volume 54 Volume 53  Volume 52 Volume 51 Volume 50 Volume 49 Volume 48 Volume 47 Volume 46

Volume 45 Volume 44 Volume 43  Volume 42  Volume 41 Volume 40 Volume 39 Volume 38 Volume 37 Volume 36  Volume 35 Volume 34

Volume 33 Volume 32  Volume 31 Volume 30 Volume 29 Volume 28 Volume 27 Volume 26 Volume 25 Volume 24 Volume 23 Volume 22

Volume 21 Volume 20 Volume 19 Volume 18  Volume 17 Volume 16 Volume 15 Volume 14 Volume 13 Volume 12 Volume 11 Volume 10

Volume 9 Volume 8 Volume 7 Volume 6 Volume 5 Volume 4 Volume 3 Volume 2 Volume 1

Relation Between Lucas Sequence and Generalized Fibonacci-Like Sequence

Arfat Ahmad Wani*^a, G. P. S. Rathore^b, Kiran Sisodiya^a

^a School of Studies in Mathematics, Vikram University Ujjain, India

^b Department of Statistics, Horticulture College Mandsaur, India

Keywords:

Fibonacci Sequence, Lucas Sequence, Generalization of Fibonacci-Like sequence and Binet’s Formula. Msc 2010 classifications: 11B39, 11B37, 11B39

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Efficient Simple Tests For Primality