Trichotomous Charge States: The Novel Trioinformatics Application of Neuroengineering Neuromathematics Notation to Express and Expound Polyphase Electrical Systems and Tri-State Buffers for Digital Circuit Design

James Edward Osler II*
James Edward Osler II  
Faculty Member, Department of Curriculum and Instruction, North Carolina Central University (NCCU) School of Education, USA.
Periodicity:September - November'2015
DOI : https://doi.org/10.26634/jcir.3.4.5926

Abstract

The narrative in this discourse provides the third part of an epistemological rational for the novel discipline of “Trioinformatics”. This novel application of trioinformatic notation in mathematical form is the continuation of the Trioinformatics article that appeared in the March–May i-manager’s Journal on Circuits and Systems,“Trichotomous Charge States” [denoted by the acronym “TCS”] use “Neuroengineering Neuromathematics Notation” as the explicative expression of Trioinformatics in “Polyphase Electrical Systems” and electronic “Tri–State Buffers”. Trioinformatics Neuroengineering also has broad applications when used as an innovative way of explaining the transition from trichotomous logic (Osler, 2015) into trichotomous Triple–I (Osler, 2013d) research questions and associated instrumentation [first introduced in the i-manager’s Journal on Mathematics as a part of the Tri–Squared Test (Osler, 2012a)]. Trioinformatics is an in–depth way of symbolically illustrating the law of trichotomy and a mathematically–grounded rational technique for explaining the ternary properties of electronic circuitry (Osler, 2015). The use of Trioinformatics also adds value to investigative inquiry through the efficacy of digital instruments and tools via eduscientifically–engineered (Osler, 2013) research designs (Osler, 2015). Additional research into trioinformatics and its neuroengineered neuromathematical notation will further advance in–depth investigations into the tripartite aspects of digital instrumentation and digital / electronic circuitry.

Keywords

Ambitation, Cohesive Statement, Logic, Mathematical Model, Outcomes, Neuroengineering, Neuromathematics, Neuroscience, Notation, Polyphase, Rational, Research, Tri–Squared Test, Trichotomy, Trielectric, Trimagnetic, Trioinformatics, Tri–State Buffering, Tristatic

How to Cite this Article?

Osler, J. E., II. (2015). Trichotomous Charge States: The Novel Trioinformatics Application of Neuroengineering Neuromathematics Notation to Express and Expound Polyphase Electrical Systems and Tri-State Buffers for Digital Circuit Design. i-manager’s Journal on Circuits and Systems, 3(4), 1-19. https://doi.org/10.26634/jcir.3.4.5926

References

[1]. James Edward Osler, (2012a). “Introducing: Trichotomy-Squared - A Novel Mixed Methods Test and Research Procedure Designed to Analyze, Transform, and Compare Qualitative and Quantitative Data for Education Scientists Who are Administrators, Practitioners, Teachers, and Technologists”. i-manager's Journal on Mathematics, Vol. 1(3) Jul - Sep 2012, Print ISSN:2277-5129, E-ISSN:2277-5137, pp. 23-32.
[2]. James Edward Osler and Carl Waden, (2012b). “Using Innovative Technical Solutions As An Intervention For At Risk Students: A Meta-Cognitive Statistical Analysis to Determine the Impact of Ninth Grade Freshman Academies, Centers, and Center Models Upon Minority Student Retention and Achievement ”. i-manager's Journal on School Educational Technology, Vol. 8(2), Sep-Nov 2012, Print ISSN: 0973-2217, E-ISSN: 2230-7133, pp. 11-23.
[3]. James Edward Osler, (2013a). “The Psychometrics of Educational Science: Designing Trichotomous Inventive Investigative Instruments For Qualitative and Quantitative Inquiry”. i-manager's Journal on School Educational Technology, Vol. 8(3), Dec-Feb 2013, Print ISSN: 0973-2217, E-ISSN: 2230-7133, pp. 15-22.
[4]. James Edward Osler, (2013b). “The Psychological Efficacy of Education as a Science through Personal, Professional, and Contextual Inquiry of the Affective Learning Domain”. i-manager’s Journal on Educational Psychology. Vol. 6(4) Feb-April 2013, Print ISSN:0973-8827, EISSN: 2230-7141, pp. 36-41.
[5]. James Edward Osler, (2013c). “Proximal Positive Parallel Notation: A Novel Method of Expressing Mathematical Complements, Collaborations, and Combinations”. imanager's Journal on Mathematics, Vol. 2(4) Oct - Dec 2013, Print ISSN:2277-5129, E-ISSN:2277-5137, pp. 21-32.
[6]. James Edward Osler, (2013d). “Transformational Research Engineering: Research Design Metrics for In- Depth and Empowering K-12 Teacher Professional Development ”. i-manager's Journal on School Educational Technology, Vol. 9(1), Jun-Aug 2013, Print ISSN: 0973-2217, E-ISSN: 2230-7133, pp.43-60.
[7]. James Edward Osler II, (2015). “Trioinformatics: The Innovative and Novel Logic Notation that Defines, Explains, and Expresses the Rational Application of The Law of Trichotomy for Digital Instrumentation and Circuit Design”. imanager's Journal on Circuits and Systems, Vol. 3(2), Mar- May 2015, Print ISSN:02321-7502, E-ISSN:2322 - 035X, pp. 1-7.
[8]. American Academy of Neurology (AAN), (2012). Working with your Doctor. American Academy of Neurology. Retrieved 28 October 2012: http://patients.aan. com/go/workingwithyourdoctor.
[9]. Apostol, T. M. (1967). Calculus, second edition, Volume one: One-variable calculus, with an introduction to linear algebra. Waltham, MA: Blaisdell.
[10]. Atta, H. M. (1999). “Edwin Smith Surgical papyrus: The oldest known surgical treatise”. American Surgeon, Vol. 65, No. 12, pp. 1190-1192.
[11]. Boolos, G., Burgess, J. P., and Jeffrey, R. C. (2002). Computability and Logic. Cambridge University Press.
[12]. Brain Age, (2006). Nintendo Company of America. Based on the work of Ryuta Kawashima, M.D.
[13]. Careersinpsychology, (2015). Retrieved on August 19, 2015 from http://careersinpsychology.org/becominga- neuropsychologist
[14]. Carrero, M. (2011). “One vital organ: Heart is more than a pump”. The Morning Call. Retreived on February 12, 2011 from http://articles.mcall.com/2011-02-12/health/ mc-health-neurocardiology-20110212_1_heart-diseaseunited- states
[15]. Cherry, K. (2014). “What is Cognition?” About Education. Retrieved from http://psychology.about.com /od/ cindex/g/ def _cognition.html
[16]. Cobarrubias, S. (2014). What is Neuroplasticity? - Definition, Depression and Quiz. Education Portal. Retrieved from http: //education-portal. com/ academy/ lesson/what-is-neuroplasticity-definition-depressionquiz. html
[17]. Eagleman, D. M. (2011). The Brain on Trial. The Atlantic.
[18]. Enderton, H., and Enderton, H. B. (2001). A Mathematical Introduction to Logic. Academic Press.
[19]. Ferreirós, J. (2001). “The road to modern logic-an interpretation”. Bulletin of Symbolic Logic, Vol. 7, No. 4, pp. 441-484.
[20]. Feidakis, M., and Daradoumis, T. (2013). “A Framework for Designing Computer Supported Learning Systems with Sensibility”. International Journal of e- Collaboration, Vol. 9, No. 1, pp. 57-70.
[21]. Friedman, K. (2000). “Creating design knowledge: from research into practice”.
[22]. Goodfriend, W. (2014). What is Learning: Understanding Effective Classroom Strategies. Education Portal. Retrieved from http://education-portal.com/ academy/ lesson/what-is-learning-understanding effective-classroomstrategies. html#lesson
[23]. Green, K. J. (1998). Schizophrenia from a Neurocognitive Perspective. Boston, Allyn and Bacon.
[24]. Hidden Curriculum, (2014, August 26). In S. Abbott (Ed.), The glossary of Education Reform. Retrieved from http://edglossary.org/hidden-curriculum
[25]. Hunter, G. (1973). Metalogic: An introduction to the Meta Theory of Standard First Order Logic, Vol. 294, Univ of California Press.
[26]. Mandal, A. (2014). What is Neurogenesis? Retrieved from http://www.news-medical.net/health/Neurogenesis- What-is-Neurogenesis.aspx
[27]. Marx, S., & Bender, D. (2013). An Introduction to Symmetrical Components, System Modeling and Fault Calculation.
[28]. Maxwell, J. A. (2012). Qualitative Research Design: An Interactive Approach: Sage.
[29]. Mendelson, E. (2009). Introduction to Mathematical Logic. CRC Press.
[30]. Merrill, M. D., Drake, L., Lacy, M. J., Pratt, J., and ID2_Research_Group. (1996). “Reclaiming instructional design”. Educational Technology, Vol. 36, No. 5, pp. 5-7.
[31]. Miles, M. B., and Huberman, A. M. (1994). Qualitative Data Analysis: An Expanded Source Book. Sage.
[32]. National Semiconductor Corporation, (1998). 54ACTQ16373 16-Bit Transparent Latch with TRI-STATE Outputs, September 1998.
[33]. Neuroscience, (1963). In Merriam-Webster online. Retrieved from http://www.merriam-webster.com/ dictionary/neuroscience
[34]. Nouri, A. and Mehrmohammadi, M. (2012). “Defining the Boundaries for Neuroeducation as a Field of Study”. Educational Research Journal, Vol. 27(1 & 2).
[35]. Osler, J. E. (2010). Visualus™© Visioneering Volumetrically: The Mathematics of the Innovative Problem-solving Model of Inventive Instructional Design (First Edition). Lulu Publishing, Morrisville NC.
[36]. Osler, J. E. (2014). “Triostatistics: The application of innovative in-depth advanced post hoc statistical metrics for the assessment and analysis of statistically significant trisquared test outcomes”. Kentucky Journal of Excellence in College Teaching and Learning, Vol. 12, No. 3, pp. 27-39.
[37]. Posner, M. I. and Digirolamo, G. J. (2000). “Cognitive neuroscience: Origins and promise”. Psychological Bulletin, Vol. 126, No. 6, pp. 873-889.
[38]. Ravitch, S. M., and Riggan, M. (2011). Reason and Rigor: How Conceptual Frameworks Guide Research. Sage.
[39]. Research Network on Law and Neuroscience, (2014). Neurolaw. Retrieved from http://www.lawneuro.org/
[40]. Robson, C. (2011). Real World Research: A Resource rd for Users of Social Research Methods in Applied Settings, 3rd Edition.
[41]. Rust, J. and Golombok, S. (1989). Modern Psychometrics: The Science of Psychological Assessment  (2nded.). Florence, KY, US: Taylor & Frances/Routledge.
[42]. Sabitzer, B. (2011). “Neurodidactics - A New Stimulus in EARCH PAPERS ICT and Computer Science Education”. INTED, pp. 5881-5889.
[43]. Sensagent, (2012). Online Dictionary Retrieved on May 9, 2012 from http://dictionary.sensagent.com/ trichotomy + (mathematics)/en-en/
[44]. Shoenfield, J., and Monk, J. D. (2001). Reviews- Mathematical Logic.
[45]. Singh, S. (1997). Fermat's Last Theorem. Fourth Estate.
[46]. Texas Instruments, (1998). Literature Number: SNOS588.
[47]. UC-Berkeley Molecular and Cell Biology Department, (2014). Neurobiology. Retrieved from https: //mcb.berkeley.edu/undergrad/major/major-requirements/neuro
[48]. Yale University, (2010). Cognitive Science. Retrieved from http://www.yale.edu/cogsci/
[49]. Yudofsky, S.C., Hales, E.H. (2002). “Neuropsychiatry and the Future of Psychiatry and Neurology”. American Journal of Psychiatry. Vol. 159, No. 8, pp. 1261–1264.
[50]. Zymo Research, (2014). What is Epigenetics? Retrieved from http: //www.zymoresearch.com/learningcenter/ epigen etics/what-is-epigenetics
If you have access to this article please login to view the article or kindly login to purchase the article

Purchase Instant Access

Single Article

North Americas,UK,
Middle East,Europe
India Rest of world
USD EUR INR USD-ROW
Pdf 35 35 200 20
Online 35 35 200 15
Pdf & Online 35 35 400 25

Options for accessing this content:
  • If you would like institutional access to this content, please recommend the title to your librarian.
    Library Recommendation Form
  • If you already have i-manager's user account: Login above and proceed to purchase the article.
  • New Users: Please register, then proceed to purchase the article.