Biography
Dr. Mark Burgin received his M.A. and Ph.D. in mathematics from Moscow State University and Doctor of Science in logic and philosophy from the National Academy of Sciences of Ukraine. He was a Professor at the Institute of Education, Kiev; at International Solomon University, Kiev; at Kiev State University, Ukraine; and Director of the Assessment Laboratory in the Research Center of Science at the National Academy of Sciences of Ukraine. Currently he is working at UCLA, USA. Dr. Burgin is a member of New York Academy of Sciences and an Honorary Professor of the Aerospace Academy of Ukraine. He was the EditorinChief of the international journals Integration and Information. Burgin is a member of the Science Advisory Committee at Science of Information Institute, Washington. He was a member of organizing and program committees of more than 75 conferences. He also organized and directed several ongoing research seminars in mathematics and computer science, such as Theoretical Computer Science (UCLA) and Foundations of Mathematics and Information Sciences (National Academy of Sciences of Ukraine). Dr. Burgin is doing research, has publications, and taught courses in various areas of mathematics, computer science, information sciences, system theory, artificial intelligence, software engineering, logic, psychology, education, social sciences, and methodology of science. He originated such theories as the mathematical theory of technology, system theory of time, general information theory, theory of named sets, hyperprobability theory and neoclassical analysis (in mathematics) and made essential contributions to such fields as foundations of mathematics, theory of algorithms, theory of knowledge, theory of intellectual activity, and complexity studies. His practical experience includes design of operating systems for supercomputers, CAD systems for electrical engineering and problem oriented languages for such systems, databases for biological information, and general expert systems, as well as mathematical modeling of databases and expert systems. Dr. Burgin has authorized and coauthorized more than 500 papers and 19 books, including “Theory of Knowledge” (2016), “Structural Reality” (2012), “Hypernumbers and Exrafunctions” (2012), “Theory of Named Sets” (2011), “Theory of Information” (2010), “Theory of Information” (2010), “Measuring Power of Algorithms, Computer Programs, and Information Automata” (2010), “Neoclassical Analysis: Calculus Closer to the Real World” (2008), “Superrecursive Algorithms” (2005), “On the Nature and Essence of Mathematics” (1998), “Intellectual Components of Creativity” (1998), “Fundamental Structures of Knowledge and Information” (1997), “Introduction to the Modern Exact Methodology of Science“ (1994), “The StructureNominative Analysis of Theoretical Knowledge (1992), and “The World of Theories and Power of Mind” (1992).
Research Interest
Mathematics, Computer science, logic and foundations, General system theory, Information sciences
Related Publications

Algebra System Highlighting wxMaxima in Calculus
Opinion Article: Res Rep Math 2021, 5:6
DOI:
Anwar Shaik.

Analysis of a New Nonlinear Interpolatory Scheme on QuasiUniform Grids
Editorial: Res Rep Math 2021, 5:6
DOI:
Iyaz Shaik.

Editor's Note on Variable Based Math
Editorial: Res Rep Math
DOI:
Nicolas Andruskiewitsch

Formalizing Calculus while not Limit Theory in Coq
Book Review: Res Rep Math 2021, 5:6
DOI:
Yunaf Shaik

Prologue to Number Theory
Editorial: Res Rep Math
DOI:
Patrick Jen

Implementation of Digital Technologies into Mathematics Teacher Preparation
Editorial: Res Rep Math 2021, 5:6
DOI:
Kadhar Shaik

Modeling Interactions among Migration Growth and Pressure in Dynamics
Letter to Editor: Res Rep Math 2021, 5:6
DOI:
Karimulla Shaik

A Perspective Note on NumberCrunching
Editorial: Res Rep Math
DOI:
Duccafee CC

A Perspective on Prologue to Calculus
Perspective: Res Rep Math
DOI:
Daccotta Y Nook

An Introduction of Combinatorics
Commentary: Res Rep Math
DOI:
Yusaf Khan

Geometric Sequences and Tuberosity Both Predict Formal Theory of Synergy
Commentary: Res Rep Math
DOI:
Ganther Eder

Cognitive Competence for Teaching Applied Statistics Balancing Selection in the Absence
Commentary: Res Rep Math
DOI:
Sarra Sheehan

Associations between Memory Traces in Networks Predictive Insights into Chemical Systems
Opinion Article: Res Rep Math
DOI:
Daniel Welleer

Probability Information in Quantum Theory of Mind in Bipolar Disorder
Opinion Article: Res Rep Math
DOI:
Rachel Mitchel

Editorial Note for Research Report on Mathematics
Editorial: Res Rep Math 2020, 4:1
DOI:
Hari Mohan Srivastava

Blockage Probability Distortion in Mixed Ground Uncertain Biological Networks
Perspective: Res Rep Math
DOI:
Vyachesla begishev

Editorial Note for Research Report on Mathematics
Editorial: Res Rep Math 2021, 5:1
DOI:
Hari_Mohan_Srivastava

Matchings in Abelian Groups and Vector Subspaces of Fields: Results and Questions
Letter to Editor: Res Rep Math
DOI:
Martina Stoji?*

On Foliations of the Genuine Projective Plane Characterized By Decomposable Pencils of Cubics
Editorial: Res Rep Math
DOI:
Bruce Olberding*

An Overview of Numerical Programming
Editorial: Res Rep Math
DOI:
Ramachary Swamy

Weierstrass Portrayal for Timelike Surfaces in Minkowski 4Space
none: Res Rep Math
DOI:
Norman L. Johnson*

Mathematical Model of Intertemporal Selection
Editorial: Res Rep Math
DOI:
Peterphani K

Progressive Ordinary Mates of Frenet Curvature in Euclidean 3Space
Letter to Editor: Res Rep Math
DOI:
Verena Möhler*

Intertemporal Selection and Its Anomalies
Commentary: Res Rep Math
DOI:
Alexandre Emerick

The Geometry of Billiards in Ellipses (Ovals) and their Poncelet Lattices
Perspective: Res Rep Math
DOI:
Jimmie Lawson*

Reasoning in Complex Networks: The Role of Symmetry and the Applicability of Images
Perspective: Res Rep Math
DOI:
Martin Vaquer

Maximal Empty Like Surfaces in A Certain Homogeneous Lorentzian 3Manifold
Commentary: Res Rep Math
DOI:
Adara M Blaga*

Methods of Probability
Perspective: Res Rep Math
DOI:
Ramanujan K Das

Cauchy Problem with Constant Coefficients by Finite Difference Method
Commentary: Res Rep Math
DOI:
Ling Yeung

Numerical Methods for the Standard Fitz Hugh Nagumo Equation
Commentary: Res Rep Math
DOI:
Persson Pan

Manifold Method Modeling Frictional and Cohesive Contact Problems
Opinion Article: Res Rep Math
DOI:
Mohamed Hamada

Numerical Simulation Methods for Prediction of Maneuverability of Ships in Waves
Opinion Article: Res Rep Math
DOI:
Baochang Lixi

The Dimensionless Numerical Method and Its Experimental Validation
Perspective: Res Rep Math
DOI:
Michael Chapwnyaa

A Survey of Topological Data Analysis and its Applications
Short Communication: Res Rep Math
DOI:
Alberta Gorge

Mathematical Approaches to Climate Change Modeling and Prediction
Perspective: Res Rep Math
DOI:
Novoky Micheal

Investigating the Mathematics behind Neural Networks and Deep Learning
Perspective: Res Rep Math
DOI:

Fractal Geometry and its Applications in Science and Art
Opinion Article: Res Rep Math
DOI:
Sachi Tanaka

Potentiality of Machine Learning in Mathematical Problem Solving
Opinion Article: Res Rep Math
DOI:

Bio Mathematical Screening of Amyloid Radiotracers of Psychomotor
Commentary: Res Rep Math
DOI:
Emanuel Bahn

Topology Optimization of Lattice Structures Using Geometry Projection
Editorial: Res Rep Math
DOI:
Julián Norato

Mathematical Biophysics and Computational Neuroscience Recent Growth
Editorial: Res Rep Math
DOI:
Joseph Louis*

Foundations Semantic System and Proof Theory
Editorial: Res Rep Math
DOI:
Randall Holmes

Probabilistic Concepts in Formal Terms
Editorial: Res Rep Math
DOI:
James Robin*

Advancements in Graph Theory with Algorithms and Applications
Opinion Article: Res Rep Math
DOI:
Petros Angelis

Advances in Combinatorial Optimization: Algorithms and Applications
Opinion Article: Res Rep Math
DOI:
Aditya Kumar

Applications of NonEuclidean Geometry in Modern Cryptography
Perspective: Res Rep Math
DOI:

Moving Morph able Void with Analysis for Sheet Metal forming with Complex Topology
Opinion Article: Res Rep Math
DOI:
Rakesh Bharati

Applications in Geometry and Data Analysis of Algebraic Topology
Perspective: Res Rep Math
DOI:
Rubio Heras

Probability Theory for Number of Mixture Components
Perspective: Res Rep Math
DOI:
Joe Davis

Statistical Methods for Big Data Analysis
Short Communication: Res Rep Math
DOI:
Yuan Goa

Modeling Misconceptions Under Small Sample Test data Using Modern Theory
Commentary: Res Rep Math
DOI:
Meilin Wen

Ensemble Forecasting System for Dynamic Dispatching Impact on the USDA Ending
Commentary: Res Rep Math
DOI:
Mitchell Patrick

Measurement Science and Computer Science in Programming Languages
Opinion Article: Res Rep Math
DOI:
Finkelstein alies

Dynamic Mathematical Models of Plasticizer and Accompanying Structural Changes
Opinion Article: Res Rep Math
DOI:
Milad Jahangirri

Meritor for Xeromorphic Behavior and Decimal Understanding and Numerical Magnitude
Perspective: Res Rep Math
DOI:
Xiaobring Yan

Applications of a Nested Model for 2D Shallow Water equations in Tsunami Model
Research Article: Res Rep Math 2018, 2:3
DOI:
Altaie H

Structural Mathematics: Structural Thinking, Structural Planning, Structural Programing
Opinion Article: Res Rep Math 2021, 5:1
DOI:
Etabey Karatoprak

Geometric Proof of the Sum of Geometric Series
Short Communication: Res Rep Math 2018, 2:3
DOI:
Korus P

Bounded Energy on Compressible Fluid Dynamics and Plasma Physics with Air/Gas Flow
Short Communication: Res Rep Math 2018, 2:3
DOI:
Tim Tarver

Students Perception of the Mathematical Classroom while Integrating Digital Technologies
Research Article: Res Rep Math 2018, 2:3
DOI:
Irina Gurevich and Mercedes Barchilon BenAv

Learning Neural Representations and Local Embedding for Nonlinear Dimensionality Mapping
Editorial: Res Rep Math 2021, 5:4
DOI:
Syed Sohel

RealValued Systemic Measures
Editorial: Res Rep Math 2021, 5:4
DOI:
Shaik Azeem

An Overview of the Foundations of the Hypergroup Theory
Editorial: Res Rep Math 2021, 5:4
DOI:
Shaik. Abdulla

Expansion Perturbation Method for Nonlinear Vibrations
Editorial: Res Rep Math 2021, 5:4
DOI:
Basha Shaik

Extensions in Jacobian algebras and cluster categories of marked surfaces
Editorial: Res Rep Math 2021, 5:4
DOI:
Baji Shaik

Asynchronous Communicating Cellular Automata
Commentary: Res Rep Math
DOI:
Maryam Ghorani

Computer Science and MetaEvolution: Evolution as Computation
Opinion Article: Res Rep Math
DOI:
Laura F Landweber

Whale Optimization Algorithm Integrated with Elder Learning Algorithm
Perspective: Res Rep Math
DOI:
Yayong Tang

Optical Information Hiding Based on Complex Amplitude
Commentary: Res Rep Math
DOI:
Ria Jatin Kikani

Computational Complexity of SpinGlass of Module Soles
Opinion Article: Res Rep Math
DOI:
Yanwen Mao

Conference Announcement on Webinar on Quantum Physics and Nuclear Engineering
Editorial: Res Rep Math 2021, 5:3
DOI:
We are pleased to welcome you to the after the successful completion of the series of Quantum Physics 2019 on July 2728, 2020. This Quantum Physics 2020 conference will provide you with an exemplary research experience and huge ideas. The conference brings together researchers working on mathematical foundations of quantum physics, quantum comp

Execution of Research, Innovation and Ideas of Material Science and Engineering
Editorial: Res Rep Math 2021, 5:3
DOI:
After gaining as awfully favourable outcome out of the past conference within the Materials Science cognition, CPD accredited International Conference on Advanced Materials Science and Engineering. Cognition takes all the pride in saying the future Conference within the productive series of Materials Congress 2020. Materials Congress 2020  The

International Summit on International Conference on Automation and Artificial Intelligence
Editorial: Res Rep Math 2021, 5:3
DOI:
Artificial Intelligence webinar: it is our great pleasure to invite you to participate in the international conference on automation and artificial intelligence which is an online webinar which will take place during 2122 may 2020. The dedicated webinar theme is: innovations and advancements in automation and artificial intelligence. The webina

Quantum Physics and Nuclear Engineering
Editorial: Res Rep Math 2021, 5:3
DOI:
The conference brings together researchers working on mathematical foundations of quantum physics, quantum computing, and related areas, with a focus on structural perspectives and the use of logical tools, ordered algebraic and categorytheoretic structures, formal languages, semantically methods, and other computer science techniques applied t

International conference on Cloud Computing and Virtualization.
Editorial: Res Rep Math 2021, 5:3
DOI:
The perspective of the Cloud Computing Conference is to set up Cloud research to help people understand how treatment techniques have advanced and how the field has developed in recent years. With members from around the world focused on Cloud Computing and Virtualization this is your best opportunity to reach the largest assemblage of participa

Mathematical Analysis of the Concept, equality.
Editorial: Res Rep Math 2021, 5:1
DOI:
Burgin M*

Method for the prediction of some time series using small sets of experimental samples
Editorial: Res Rep Math 2021, 5:5
DOI:
Syed Sameer

Inventory Models with MAP Demands and Random Replenishment
Editorial: Res Rep Math 2021, 5:5
DOI:
Rehman Shaik

Heterogeneous QueuingInventory System with ClassDependent Inventory Access
Editorial: Res Rep Math 2021, 5:5
DOI:
Salman Shaik.

Editorial Note by James Robbin
Editorial: Res Rep Math 2021, 5:1
DOI:
James Robbin

A replacement thanks to Teach Maths at University Level as a part of Everything
Editorial: Res Rep Math 2021, 5:5
DOI:
Rabbani Shaik.

Editorial on Research and Reports on Mathematics by Kelsey Hall
Editorial: Res Rep Math 2021, 5:1
DOI:
Kelsey Hall

Assessment of Geometry and Gaits for Optimal Displacement and Efficiency
Editorial: Res Rep Math 2021, 5:5
DOI:
Siddik Shaik

Hexaferrites for High frequency applications
Editorial: Res Rep Math 2021, 5:2
DOI:
Hasan M. Khan

Nanotechnological interventions for plant growth
Editorial: Res Rep Math 2021, 5:2
DOI:
Garima Awasthi

Thousand years conception regarding time calculation Theory
Editorial: Res Rep Math 2021, 5:2
DOI:
SahriarAhamed

Formal Power Series of Logarithms
Editorial: Res Rep Math 2021, 5:2
DOI:
Shaik Yunis

LU Decomposition by Using ZNN Method and ZeaD Formulas
Editorial: Res Rep Math 2021, 5:2
DOI:
Shaik Nazeer

Mathematical Perspectives in Plasma Turbulence
Review Article: Res Rep Math 2018, 2:2
DOI:
Cheverry C

Mathematical Analysis of the Concept equality
Editorial: Res Rep Math 2018, 2:2
DOI:
Burgin M

Generalized Hybrid Block Method for Solving Second Order Ordinary Differential Equations Directly
Research Article: Res Rep Math 2018, 2:2
DOI:
Kuboye JO, Omar Z, Abolarin OE and Abdelrahim R

Sensitivity Analysis on RegimeSwitching Models by WienerMalliavin Calculus
Research Article: Res Rep Math 2018, 2:2
DOI:
Yue Liu, Yongsheng Hang, Hongxing Yao and Yan Chen

Stability of the Stationary Solutions in the Bounded Problem of Eight Bodies with Incomplete Symmetry
Short Article: Res Rep Math 2018, 2:2
DOI:
Cebotaru E

Meromorphic Functions and Theta Functions on Riemann Surfaces
Research Article: Res Rep Math 2017, 1:1
DOI:
Lesfari A

Arithmetic in the Developing Brain: A Review of Brain Imaging Studies
Editorial: Res Rep Math
DOI:
Bert De Smedt*

Global Stability Analysis of an SEIR Epidemic Model with Relapse and General Incidence Rates
Research Article: Res Rep Math 2019, 3:1
DOI:
Bernoussi A*

Influence of Prior Schooling on Undergraduate Biology Studentsâ Attitudes to Mathematics and Academic Performance
Research Article: Res Rep Math 2018, 2:4
DOI:
Nikola S Markovina*

Extending the Applicability of an UlmNewtonlike Method under Generalized Conditions in Banach Space
Research Article: Res Rep Math 2018, 2:1
DOI:
Ioannis K. Argyros and Santhosh George

A Simpler Proof of the Characterization of Quadric CMC Hypersurfaces in Sn+1
Research Article: Res Rep Math 2017, 1:1
DOI:
Aquino CP and De Lima HF

Solution Concepts and Equilibria
Perspective: Res Rep Math
DOI:
Martin S. Andersen

How Mathematics and Music Are Related
Review Article: Res Rep Math 2019, 3:1
DOI:
Demetriou P*, Yenovkian C, Papacharalambous A and Janjic J

Proof and Disproof of Birch and SwinnertonDyer Conjecture
Short Communication: Res Rep Math 2018, 2:4
DOI:
James T Struck*

Training the Brain to do Arithmetic: The Gateway to Becoming a Lifelong Learner of Mathematics
Research Article: Res Rep Math 2018, 2:1
DOI:
Sherry Mantyka

Basic Elements and Assumptions of Game Theory
Perspective: Res Rep Math
DOI:
David Knudsen Levine*

The Role of Finsler Geometry and its Extensions on the Structure of Gravitation and Cosmology
Review Article: Res Rep Math 2018, 2:4
DOI:
Stavrinos PC* and Triantafyllopoulos A

Existence of Solutions for Impulsive Second Order Abstract Functional Neutral Differential Equation with Nonlocal Conditions and State DependentDelay
Research Article: Res Rep Math 2018, 2:1
DOI:
Karthikeyan K, Sundararajan P and Senthil Raja D

On Statistically (I)  Sequential Spaces
Research Article: Res Rep Math 2017, 1:1
DOI:
Renukadeviz V and Prakash B

Two Algorithmic Problems in Group Theory
Short Communication: Res Rep Math 2018, 2:4
DOI:
Alexander P Goryushkin*

Enlarging the Radius of Convergence for the Halley Method to Solve Equations with Solutions of Multiplicity under Weak Conditions
Research Article: Res Rep Math 2018, 2:1
DOI:
Ioannis K Argyros and Santhosh George

Stability under C1  Perturbation of Dynamical System
Research Article: Res Rep Math 2017, 1:1
DOI:
Osipenko GS and Korzh TN

Sufficient condition of the Hopf bifurcation
Research Article: Res Rep Math 2018, 2:4
DOI:
Amine Bernoussi*

A Multiply Nested Model for NonLinear Shallow Water Model
Research Article: Res Rep Math 2018, 2:1
DOI:
Huda Altaie

From Configurations to Branched Configurations and Beyond
Research Article: Res Rep Math 2017, 1:1
DOI:
JeanPierre Magnot