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  1. The Mechanistic Universe: Evaluating the Hypotheses of God and Ghosts through the Lens of Evolutionary Biology

    Article • July 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

  2. Generalized Multivariate Gaussian Distribution in Machine Learning for Industrial Anomaly Detection

    Article • May 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

  3. Trivariate Normal Distribution in Machine Learning for Industrial Anomaly Detection

    Article • May 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

  4. Machine Learning for Industrial Anomaly Detection using Bivariate Gaussian Probability Density Function: A Case Study

    Article • May 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

  5. Multivariate Gaussian Probability Density Function in Machine Learning for Industrial Anomaly Detection

    Article • May 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

  6. Machine Learning for Industrial Anomaly Detection: A Probabilistic Intelligence Approach

    Article • April 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

  7. Working Principle of an Infrared Search and Track (IRST) System

    Article • March 2026, Wiley

    Dr. Chinnaraji Annamalai

  8. Generalized Rational-Form Finite Sum Identities and Derivations within the Annamalai Combinatorial System for Stochastic Network Optimization

    Article • March 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

  9. Generalized Closed-Form Finite Sum Identities and Derivations within the Annamalai Combinatorial System for Stochastic Network Optimization

    Article • February 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

  10. A Methodological Framework for the Negative Binomial Theorem via Combinatorial Geometric Series and Generating Functions

    Article • February 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

  11. Combinatorial Geometric Series and Generating Function: A Methodological Advance for the Negative Binomial Theorem

    Article • February 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

  12. Integrating Annamalai Combinatorial Systems into the Foundations of Artificial Intelligence

    Article • January 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

  13. Comparative Analysis of Stochastic Modeling and Computational Efficiency in Poisson Binomial and Annamalai Frameworks

    Article • January 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

  14. Comparative Analysis of Stochastic Modeling and Computational Efficiency in Poisson Binomial and Annamalai Frameworks

    Article • January 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

  15. A Generating Function Approach to Finite Sum Identities in the Annamalai Combinatorial System

    Article • January 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

  16. Combinatorial Proof of Figurate Number Identities via the Cauchy Product

    Article • January 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

  17. The Unified Properties of the Annamalai Coefficient in Combinatorial Analysis

    Article • January 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

  18. Proving the Sum of Finite Combinatorial Geometric Series by Mathematical Induction

    Article • January 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

  19. A Derivation of Finite Sum Identity of Combinatorial Geometric Series

    Article • January 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

  20. Proof of Finite Sum Identity of Combinatorial Geometric Series

    Article • January 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

  21. Optimizing Deep Learning Architectures via the Log-Annamalai Probability Mass Function and Generating Functions

    Article • January 2026, Elsevier

    Dr. Chinnaraji Annamalai

  22. Accelerating Real-Time Network Analytics with Log-Annamalai Negative Binomial Distribution on FPGAs

    Article • December 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  23. Annamalai Combinatorial System

    Article • December 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  24. Combinatorial System: Binomial Coefficients and Generating Functions for Combinatorial Geometric Series

    Article • December 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  25. Combinatorial System: Binomial Coefficients, CGS and Generating Functions

    Article • December 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  26. Leveraging the Annamalai Coefficient for Optimized Stochastic Modeling in High-Dimensional Network Traffic

    Article • December 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  27. Recursive Relationships and Closed-Form Expressions in Annamalai’s Combinatorial System: A Framework for Large-Scale Data and Stochastic Modeling

    Article • December 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  28. Annamalai’s Combinatorial System and Generating Functions

    Article • December 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  29. Combinatorial Geometric Series and Negative Binomial Theorem: A Methodological Advance

    Article • December 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  30. Combinatorial Geometric Series and Negative Binomial Theorem: A Methodological Advance

    Article • December 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  31. Combinatorial Geometric Series and Negative Binomial Theorem: A Methodological Advance

    Article • December 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  32. Annamalai's Binomial Coefficient, Identities, and Generating Functions

    Article • December 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  33. Combinatorial Geometric Series and Generating Functions

    Article • December 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  34. Combinatorial System: Coefficients, Identities, and Generating Functions

    Article • December 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  35. Combinatorial System: Coefficients, Identities, and Generating Functions

    Article • December 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  36. A Novel Derivation of Relativistic Energy-Momentum Relation

    Article • October 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  37. Deriving the Accurate Mass-Energy Equivalence from the Energy-Momentum Relation

    Article • October 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  38. Derivation of Relativistic Momentum corresponding to Classical Momentum

    Article • October 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  39. Dirac’s Equation of Relativistic Energy-Momentum: A Compressive Derivation

    Article • October 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  40. Analysis of Mass-Energy Equivalence in Chemical vs. Nuclear Reactions

    Article • September 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  41. The Misconception of Relativistic Mass: A Modern Perspective on Mass and Energy in Special Relativity

    Article • September 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  42. The Spherical Gravitational Well Within a Cube

    Article • September 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  43. The Absence of Straight Lines: A Comparative Analysis of Gravity from Newtonian Physics to Einstein's Spacetime Curvature

    Article • September 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  44. The Conservation of Mass-Energy in the Expanding Cosmos

    Article • September 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  45. The Interplay of Mass and Energy: A Modern Relativistic Perspective

    Article • September 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  46. The Role of Gravity in Cosmic Stability

    Article • September 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  47. The Einstein’s Kinetic Energy: Is it valid?

    Article • April 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  48. Derivation of the Einstein’s Mass-Energy Equation from the Newton’s Second Law of Motion

    Article • March 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  49. The Einstein’s Mass-Energy Equivalence and the Relativistic Mass and Energy derived from the Newton’s Second Law of Motion

    Article • March 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  50. The Einstein’s Mass-Energy Equation: Kinetic Energy (½mv^2), Potential Energy (mgh), and Work done (mas)

    Article • March 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  51. Derivation of the Einstein’s Mass-Energy Equation (Sum of Kinetic Energy and Rest mass Energy) using Classical Mechanics

    Article • March 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  52. The Einstein’s Mass-Energy Equivalence relating to Total Energy

    Article • February 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  53. The Network of Cosmic Systems keeps the Universe as Stable

    Article • February 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  54. The Universe with its Systems is Stable

    Article • February 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

  55. Derivation of Relativistic Momentum Corresponding to Classical Momentum

    Article • January 2025, Elsevier

    Dr. Chinnaraji Annamalai

  56. Combinatorial System: Coefficients, Identities, and Generating Functions

    Article • January 2025, Elsevier

    Dr. Chinnaraji Annamalai

  57. Novel Method to compute the Sum of Geometric Series on Real Numbers

    Article • November 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  58. Novel Technique to compute the Sum of Geometric Series on Fraction

    Article • November 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  59. Computing the Sum of Geometric Series based on Algebraic Expression

    Article • November 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  60. New Method to compute the Sum of Geometric Series on Fractional Numbers

    Article • November 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  61. Computation of Novel Binomial Series and Theorems using Bivariable Geometric Series based on Algebraic Expression

    Article • November 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  62. Computation of the Sum of Geometric Series on Numerical Expression

    Article • November 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  63. Computation of Novel Binomial Series and Theorems using Multivariable Geometric Series

    Article • November 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  64. Computation of Geometric Series on Numerical Expansions

    Article • November 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  65. Computation of Novel Binomial Series using Bivariable Geometric Series

    Article • November 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  66. The Gaussian Integral for the Normal Distribution in Machine Leaning

    Article • October 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  67. Computation of Geometric Series on Relation between Dirichlet Eta Function and Riemann Zeta Function

    Article • October 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  68. Sum of Series involving Anna Iota Function and Riemann Zeta Function

    Article • September 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  69. Computation of Analog Theorems for the Annamalai Iota Function

    Article • September 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  70. Computation of Analog Theorems for the Dirichlet Eta Function

    Article • September 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  71. Computation of the Riemann Zeta Function equal to the Harmonic Series

    Article • September 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  72. Computation of Analog Theorem for Dirichlet Eta Function and Riemann Zeta Function

    Article • September 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  73. Application of Geometric Series and Maclaurin Series Relating to Taylor Series

    Article • August 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  74. Computer Program in C Programing Language for Calculating the Value of Euler Product equal to the Riemann Zeta Function

    Article • August 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  75. Product of Geometric Series on Prime Numbers is equal to Sum of Natural Numbers

    Article • August 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  76. Riemann Zeta Function and Dirichlet Eta Function relating to Alternative Harmonic Series

    Article • August 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  77. The main reason why the Euler product is not equal to the Riemann Zeta function

    Article • August 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  78. Disproof of the Euler Product equal to the Riemann Zeta Function   

    Article • July 2024, Institute of Electrical & Electronics Engineers (IEEE)

    Dr. Chinnaraji Annamalai

  79. Representation of the Euler Product for the Riemann Zeta Function

    Article • July 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  80. Computation of the Riemann Zeta Function for deriving the Euler Product

    Article • July 2024, Institute of Electrical & Electronics Engineers (IEEE)

    Dr. Chinnaraji Annamalai

  81. A Simple Proof of the Euler Product for the Riemann Zeta Function

    Article • July 2024, Institute of Electrical & Electronics Engineers (IEEE)

    Dr. Chinnaraji Annamalai

  82. New Mathematical Model for Quadratics

    Article • March 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  83. TCP/IP and Cellular Networks of GSM

    Article • February 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  84. Energy of the Object in Motion

    Article • February 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  85. Equations of the Energy-Work Relation: Right and Wrong

    Article • February 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  86. Error Correction in the Equations of Energy-Work Relation

    Article • February 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  87. Upper Limits for Velocity, Momentum, and Energy of Motion

    Article • January 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  88. Variations on the Equations of Energy-Work Relation

    Article • January 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  89. Energy-Force Relation

    Article • January 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  90. Einstein’s Special Theory of Relativity: A New Mass-Energy Equation

    Article • January 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

  91. Computation of the Euler Product Representation for the Riemann Zeta Function

    Article • January 2024, Elsevier

    Dr. Chinnaraji Annamalai

  92. Einstein’s Special Theory of Relativity: A New Mass-Energy Equivalence

    Article • SSRN Electronic Journal, January 2024, Elsevier

    Dr. Chinnaraji Annamalai

  93. Energy of the Object in Motion

    Article • SSRN Electronic Journal, January 2024, Elsevier

    Dr. Chinnaraji Annamalai

  94. New Mathematical Model for Quadratics

    Article • SSRN Electronic Journal, January 2024, Elsevier

    Dr. Chinnaraji Annamalai

  95. TCP/IP and Cellular Networks of GSM

    Article • SSRN Electronic Journal, January 2024, Elsevier

    Dr. Chinnaraji Annamalai

  96. A Different Perspective for Geometric Series with Binomial Coefficients

    Article • Kırklareli Üniversitesi Mühendislik ve Fen Bilimleri Dergisi, December 2023, Kirklareli Universitesi Muhendislik ve Fen Bilimleri Dergisi

    Dr. Chinnaraji Annamalai

  97. Einstein’s Special Theory of Relativity: A New Mass-Energy Equation

    Article • December 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  98. Upper Limits for Relativistic Energy and Momentum

    Article • December 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  99. Upper Limits for Relativistic Energy and Momentum

    Article • December 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  100. Upper Limit for the Energy of Motion

    Article • December 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  101. Upper Limit for the Energy of Motion

    Article • December 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  102. A New Mass-Energy Equivalence from Lorentz Factor and Energy of Motion

    Article • December 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  103. Mass-Energy Equivalence: Light Energy

    Article • December 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  104. A New Mass-Energy Equivalence from Lorentz Factor and Energy of Motion

    Article • December 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  105. Binomial Series without Binomial Coefficients

    Article • December 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  106. Energy-Momentum Equivalence

    Article • December 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  107. Energy-Work Equivalence

    Article • December 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  108. Momentum-Velocity Equivalence

    Article • November 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  109. Computation of Mass-Energy Equation from Lorentz Factor and Kinetic Energy

    Article • November 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  110. Binomial Geometric Series for Computational Application

    Article • November 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  111. Novel Binomial Series without Binomial Coefficients

    Article • November 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  112. Computation of Mass-Energy Equation from Lorentz Factor and Kinetic Energy

    Article • November 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  113. A Computational Comparison of Novel and Traditional Binomial Series

    Article • November 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  114. Novel Binomial Series without Binomial Coefficients

    Article • November 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  115. Binomial Geometric Series for Computational Application

    Article • November 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  116. A Novel Computational Approach to Binomial Coefficients in Discrete System

    Article • October 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  117. Lorentz Factor and Time Dilation on the Special Theory of Relativity

    Article • October 2023, Institute of Electrical & Electronics Engineers (IEEE)

    Dr. Chinnaraji Annamalai

  118. Lorentz Factor and Time Dilation on the Special Theory of Relativity

    Article • October 2023, Institute of Electrical & Electronics Engineers (IEEE)

    Dr. Chinnaraji Annamalai

  119. Computational Technique for Geometric Series with Radicals

    Article • October 2023, Institute of Electrical & Electronics Engineers (IEEE)

    Dr. Chinnaraji Annamalai

  120. Binomial Geometric Series

    Article • October 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  121. Geometric Progression-Based Binomial Series for Computing Application

    Article • October 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  122. Computational Technique for Geometric Series with Radicals

    Article • October 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  123. Lorentz Factor and Time Dilation on the Special Theory of Relativity

    Article • October 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  124. Binomial Geometric Series

    Article • October 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  125. Geometric Progression-Based Binomial Series for Computing Application

    Article • October 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  126. A Generalized Computational Method for Multi-Ordered Geometric Series

    Article • September 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  127. New Approach to Geometric Series for Computational Applications

    Article • September 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  128. Computation of Geometric Series: A New Approach

    Article • September 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  129. A Novel Approach to Computation of Multiple Geometric Series

    Article • September 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  130. New Approach to Geometric Series for Computational Applications

    Article • September 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  131. A New Perspective on Geometric Series for Computing Applications

    Article • September 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  132. A New Perspective on Geometric Series for Computing Applications

    Article • August 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  133. Novel Geometric Series for Application of Computing Science

    Article • August 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  134. Novel Geometric Series for Application of Cryptography

    Article • August 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  135. Novel Geometric Series for Application of Cryptography

    Article • August 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  136. Novel Geometric Series for Application of Computational Science

    Article • August 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  137. An Alternative Method for the Gamma Function derived from Natural Logarithm and Pi Function

    Article • The Journal of Engineering and Exact Sciences, June 2023, Universidade Federal de Vicosa

    Dr. Chinnaraji Annamalai

  138. Mass-Energy Equivalence: Light Energy

    Article • June 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  139. The Einstein’s Mass-Energy Equivalence and the Relativistic Mass and Momentum derived from the Newton’s Second Law of Motion

    Article • June 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  140. Mass-Energy Equivalence: Light Energy

    Article • June 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  141. Mass-Energy Equivalence derived from Newtonian mechanics

    Article • The Journal of Engineering and Exact Sciences, June 2023, Universidade Federal de Vicosa

    Dr. Chinnaraji Annamalai

  142. Einstein’s Mass-Energy Equivalence is not applicable to Photon Energy

    Article • June 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  143. A Mathematical Approach to the Momentum Equations of Massless Photon and Particle with Relativistic Mass

    Article • June 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  144. The Einstein’s Mass-Energy Equivalence and the Relativistic Mass and Momentum derived from the Newton’s Second Law of Motion

    Article • June 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  145. Mass-Energy Equivalence derived from Work and Kinetic Energy

    Article • June 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  146. Work done by Time is equal to Einstein’s Mass-Energy Equivalence

    Article • June 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  147. Mathematical Approach to the Momentum Equations of Massless Photon and Particle with Relativistic Mass

    Article • June 2023, Open Engineering Inc

    Dr. Chinnaraji Annamalai

  148. A Mathematical Approach to the Momentum Equations of Massless Photon and Particle with Relativistic Mass

    Article • June 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  149. Einstein’s Mass-Energy Equivalence and Relativistic Mass derived from Newton’s Second Law of Motion

    Article • May 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  150. The Einstein’s Mass-Energy Equivalence and the Relativistic Mass and Momentum derived from the Newton’s Second Law of Motion

    Article • May 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  151. Relation between Kinetic Energy and Mass-Energy Equivalence

    Article • May 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  152. Relation between Kinetic Energy and Relativistic Mass-Energy

    Article • May 2023, Open Engineering Inc

    Dr. Chinnaraji Annamalai

  153. Einstein’s Mass-Energy Equivalence and the Relativistic Mass and Momentum derived from the Newton’s Second Law of Motion

    Article • May 2023, Open Engineering Inc

    Dr. Chinnaraji Annamalai

  154. The Einstein’s Mass-Energy Equivalence and the Relativistic Mass and Momentum derived from the Newton’s Second Law of Motion

    Article • May 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  155. A Solution for Algebraic Equations x^2+1=0 and x^2-1=0 is √(-1)

    Article • May 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  156. The Starting Point of Complex Number

    Article • May 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  157. A Theorem on the Imaginary Number √(-1)

    Article • May 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  158. Biosystems and Ghosts

    Article • May 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  159. Speed of Massless Object is equal to the Speed of Light

    Article • May 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  160. An Alternative Method for the Gamma Function derived from Natural Logarithm and Pi Function

    Article • May 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  161. Speed of Matter is less than Speed of Light

    Article • May 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  162. E=mc^2 : Mass-Energy Equivalence

    Article • May 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  163. An Alternative Method for the Gamma Function derived from Natural Logarithm and Pi Function

    Article • May 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  164. Geometric Series with Binomial Coefficients: A New Approach

    Article • May 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  165. Gamma Function derived from Natural Logarithm and Pi Function

    Article • May 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  166. Geometric Series with Binomial Coefficients: A New Approach

    Article • April 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  167. Proof of Gamma Function using Natural Logarithm and Pi Function

    Article • April 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  168. A Simple Proof of Pi Value and Euler’s Identity

    Article • April 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  169. Factorial Theorem for Computation of Factorials to Positive Real Numbers

    Article • April 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  170. Gamma Function derived from Factorial Function based-Pi Function

    Article • April 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  171. Gamma Function derived from Natural Logarithm and Pi Function

    Article • April 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  172. Factorial Theorem for Computing the Factorial of Positive Real Number

    Article • April 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  173. Review on the Gamma Function and Error Correction

    Article • April 2023, Cambridge University Press

    Dr. Chinnaraji Annamalai

  174. Analysis of Factorial Function for Non-Negative Real Numbers

    Article • April 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  175. Review on the Gamma Function and Error Correction

    Article • March 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  176. Factorials: Difference between 0! and 1!

    Article • March 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  177. Vector Space on the Binomial Coefficients in Combinatorial Geometric Series

    Article • The Journal of Engineering and Exact Sciences, March 2023, Universidade Federal de Vicosa

    Dr. Chinnaraji Annamalai

  178. Theorem on the Binomial Coefficient for Positive Real Number

    Article • March 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  179. Factorial Theorem: An Alternative to Gamma Function

    Article • March 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  180. Binomial Coefficients and Factorials for Non-Negative Real Numbers

    Article • March 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  181. Real Numbers with Binomial Coefficients of Geometric Series

    Article • February 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  182. Finite and Infinite Geometric Series with Binomial Coefficients

    Article • February 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  183. Combinatorial Geometric Series: Infinite Series with Binomial Coefficients

    Article • February 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  184. Computation of Binomial Coefficient with Real Number

    Article • February 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  185. Annamalai Series

    Article • February 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  186. Summation of Combinatorial Geometric Series

    Article • February 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  187. Fourier Series with Binomial Coefficients of Combinatorial Geometric Series

    Article • February 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  188. Trigonometric Equations and Series by Combinatorial Geometric Series

    Article • February 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  189. Application of combinatorial Algebraic Equations in Computing and Cybersecurity

    Article • January 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  190. Computation of Algebraic Equations of Combinatorial Geometric Series

    Article • January 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  191. Method for solving the Algebraic Equations of Combinatorial Geometric Series

    Article • January 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  192. Analysis of Combinatorial Binomial Coefficients and Series

    Article • January 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  193. System of Novel Binomial Coefficients and Series

    Article • January 2023, Center for Open Science

    Dr. Chinnaraji Annamalai

  194. A Computational Comparison of Novel and Traditional Binomial Series

    Article • SSRN Electronic Journal, January 2023, Elsevier

    Dr. Chinnaraji Annamalai

  195. A Novel Approach to Computation of Multiple Geometric Series

    Article • SSRN Electronic Journal, January 2023, Elsevier

    Dr. Chinnaraji Annamalai

  196. A Novel Mass-Energy Equation from Lorentz Factor and Energy of Motion

    Article • SSRN Electronic Journal, January 2023, Elsevier

    Dr. Chinnaraji Annamalai

  197. A Simple Proof of Pi Value and Euler’s Identity

    Article • SSRN Electronic Journal, January 2023, Elsevier

    Dr. Chinnaraji Annamalai

  198. A Theorem on the Imaginary Number √(-1)

    Article • SSRN Electronic Journal, January 2023, Elsevier

    Dr. Chinnaraji Annamalai

  199. Analysis of Combinatorial Binomial Coefficients and Series

    Article • SSRN Electronic Journal, January 2023, Elsevier

    Dr. Chinnaraji Annamalai

  200. Annamalai Series

    Article • SSRN Electronic Journal, January 2023, Elsevier

    Dr. Chinnaraji Annamalai

  201. Binomial Coefficients and Factorials for Non-Negative Real Numbers

    Article • SSRN Electronic Journal, January 2023, Elsevier

    Dr. Chinnaraji Annamalai

  202. Combinatorial Geometric Series: Infinite Series with Binomial Coefficients

    Article • SSRN Electronic Journal, January 2023, Elsevier

    Dr. Chinnaraji Annamalai

  203. Computation of Algebraic Equations of Combinatorial Geometric Series

    Article • SSRN Electronic Journal, January 2023, Elsevier

    Dr. Chinnaraji Annamalai

  204. Computation of Algebraic Expressions and Geometric Series with Radicals

    Article • SSRN Electronic Journal, January 2023, Elsevier

    Dr. Chinnaraji Annamalai

  205. Computation of Binomial Coefficient with Real Number

    Article • SSRN Electronic Journal, January 2023, Elsevier

    Dr. Chinnaraji Annamalai

  206. E=mc^2 : Mass-Energy Equivalence

    Article • SSRN Electronic Journal, January 2023, Elsevier

    Dr. Chinnaraji Annamalai

  207. Factorial Theorem: An Alternative to Gamma Function

    Article • SSRN Electronic Journal, January 2023, Elsevier

    Dr. Chinnaraji Annamalai

  208. Finite and Infinite Geometric Series with Binomial Coefficients

    Article • SSRN Electronic Journal, January 2023, Elsevier

    Dr. Chinnaraji Annamalai

  209. Fourier Series with Binomial Coefficients of Combinatorial Geometric Series

    Article • SSRN Electronic Journal, January 2023, Elsevier

    Dr. Chinnaraji Annamalai

  210. Lorentz Factor and Time Dilation on the Special Theory of Relativity

    Article • SSRN Electronic Journal, January 2023, Elsevier

    Dr. Chinnaraji Annamalai

  211. Method for Solving the Algebraic Equations of Combinatorial Geometric Series

    Article • SSRN Electronic Journal, January 2023, Elsevier

    Dr. Chinnaraji Annamalai

  212. Novel Geometric Series for Application of Cryptography

    Article • SSRN Electronic Journal, January 2023, Elsevier

    Dr. Chinnaraji Annamalai

  213. Real Numbers with Binomial Coefficients of Geometric Series

    Article • SSRN Electronic Journal, January 2023, Elsevier

    Dr. Chinnaraji Annamalai

  214. Review on the Gamma Function and Error Correction

    Article • SSRN Electronic Journal, January 2023, Elsevier

    Dr. Chinnaraji Annamalai

  215. Summation of Combinatorial Geometric Series

    Article • SSRN Electronic Journal, January 2023, Elsevier

    Dr. Chinnaraji Annamalai

  216. System of Novel Binomial Coefficients and Series

    Article • SSRN Electronic Journal, January 2023, Elsevier

    Dr. Chinnaraji Annamalai

  217. Theorem on the Binomial Coefficient for Positive Real Number

    Article • SSRN Electronic Journal, January 2023, Elsevier

    Dr. Chinnaraji Annamalai

  218. Trigonometric Equations and Series by Combinatorial Geometric Series

    Article • SSRN Electronic Journal, January 2023, Elsevier

    Dr. Chinnaraji Annamalai

  219. Upper Limits for Velocity, Momentum, and Energy of Motion

    Article • SSRN Electronic Journal, January 2023, Elsevier

    Dr. Chinnaraji Annamalai

  220. Skew Field on the Binomial Coefficients in Combinatorial Geometric Series

    Article • The Journal of Engineering and Exact Sciences, November 2022, Universidade Federal de Vicosa

    Dr. Chinnaraji Annamalai

  221. Novel Multinomial Expansion and Theorem

    Article • November 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  222. Construction of Novel Binomial Theorem

    Article • November 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  223. Annamalai’s Binomial Expansion

    Article • October 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  224. Algorithmic Approach for Computation of Binomial Expansions

    Article • October 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  225. Computation and Analysis of Combinatorial Geometric Series and Binomial Series

    Article • October 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  226. Abelian Group on the Binomial Coefficients in Combinatorial Geometric Series

    Article • The Journal of Engineering and Exact Sciences, October 2022, Universidade Federal de Vicosa

    Dr. Chinnaraji Annamalai

  227. Computation for the Summation of Binomial Series and Combinatorial Geometric Series

    Article • October 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  228. Two Different and Equal Coefficients of Combinatorial Geometric Series

    Article • October 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  229. Lemma on the Binomial Coefficients of Combinatorial Geometric Series

    Article • The Journal of Engineering and Exact Sciences, October 2022, Universidade Federal de Vicosa

    Dr. Chinnaraji Annamalai

  230. Computation and Summation of Binomial Series and Combinatorial Geometric Series

    Article • October 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  231. Computation and Summation of Binomial Series and Combinatorial Geometric Progression

    Article • October 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  232. Computation and Analysis of Binomial Series

    Article • October 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  233. Computational Analysis of Binomial Series

    Article • October 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  234. A Theorem on Binomial Series

    Article • October 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  235. Sum of Binomial Coefficients and its Lemma

    Article • October 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  236. Theorems on Binomial Series

    Article • October 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  237. The Root of a Binomial Coefficient is equal to the Sum of its Leaves

    Article • October 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  238. Binomial Coefficient: Root, Predecessor, Successor, and Leaf

    Article • September 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  239. Lemma on Combinatorial Geometric Series with Binomial Coefficients

    Article • September 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  240. Combinatorial and Multinomial Coefficients and its Computing Techniques for Machine Learning and Cybersecurity

    Article • The Journal of Engineering and Exact Sciences, September 2022, Universidade Federal de Vicosa

    Dr. Chinnaraji Annamalai

  241. Ring Field and Vector Space on Combinatorial Geometric Series and Binomial Coefficients

    Article • September 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  242. Sum of Successive Partitions of Binomial Coefficient

    Article • September 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  243. Alternative to the Binomial Series or Binomial Theorem

    Article • September 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  244. Computation and Calculus for Combinatorial Geometric Series and Binomial Identities and Expansions

    Article • The Journal of Engineering and Exact Sciences, September 2022, Universidade Federal de Vicosa

    Dr. Chinnaraji Annamalai

  245. Computation and Calculus for Combinatorial Geometric Series and Binomial Identities and Expansions

    Article • September 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  246. Sum of Successive Partitions of Binomial Coefficient

    Article • September 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  247. Scalar and Vector Space of Combinatorial Geometric Series

    Article • September 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  248. Commutative Ring and Field on the Binomial Coefficients of Combinatorial Geometric Series

    Article • September 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  249. Construction and Analysis of Binomial Coefficients

    Article • September 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  250. Binomial Coefficients of Combinatorial Geometric Series: System of Natural Numbers

    Article • September 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  251. Real and Complex Numbers of Binomial Coefficients in Combinatorial Geometric Series

    Article • September 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  252. Combinatorial Geometric Series: Vector Space

    Article • September 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  253. Commutative Division Ring and Skew Field on the Binomial Coefficients of Combinatorial Geometric Series

    Article • September 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  254. Sum of Combinatorial Geometric Series

    Article • September 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  255. Abelian Group on the Binomial Coefficients of Combinatorial Geometric Series

    Article • September 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  256. Abelian Group on the Binomial Coefficients of Combinatorial Geometric Series

    Article • September 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  257. Generalized Methods to prove the Factorial and Multinomial Theorems for Machine Leaning and Cybersecurity

    Article • September 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  258. A Theorem on the Binomial Coefficients of Combinatorial Geometric Series and Some Solutions on Partitions of the Binomial Coefficients

    Article • September 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  259. Partition of Multinomial Coefficient

    Article • September 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  260. Computation of Binomial, Factorial and Multinomial Theorems for Machine Leaning and Cybersecurity

    Article • September 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  261. Successive Partition Method for Binomial Coefficient in Combinatorial Geometric Series

    Article • September 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  262. A Generalized Method for proving the Theorem derived from the Binomial Coefficients in Combinatorial Geometric Series

    Article • September 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  263. Theorems on the Binomial Coefficients for Combinatorial Geometric Series

    Article • September 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  264. Computation of Factorial and Multinomial Theorems for Machine Leaning and Cybersecurity

    Article • August 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  265. Computation of Multinomial and Factorial Theorems for Cryptography and Machine Learning

    Article • August 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  266. Binomial Theorem on the Coefficients for Combinatorial Geometric Series

    Article • August 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  267. Computation of Combinatorial Geometric Series and its Combinatorial Identities for Cryptographic Algorithm and Machine Learning

    Article • August 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  268. Multinomial-based Factorial Theorem on the Binomial Coefficients for Combinatorial Geometric Series

    Article • August 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  269. Binomial Identities on the Coefficients for Combinatorial Geometric Series

    Article • August 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  270. Binomial Coefficients and Identities in Combinatorial Geometric Series

    Article • August 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  271. Computation of Combinatorial Geometric Series and its Combinatorial Identities for Machine Learning and Cybersecurity

    Article • August 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  272. Combinatorial Techniques and Multinomial Theorems with Factorials for Machine Learning and Cybersecurity

    Article • August 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  273. Multinomial Computation and Factorial Theorems for Artificial Intelligence and Cybersecurity

    Article • August 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  274. Factorials, Integers, Binomial Coefficient and Factorial Theorem

    Article • August 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  275. Binomial Coefficients and Identities in Combinatorial Geometric Series

    Article • August 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  276. Computation Method for Combinatorial Geometric Series and its Applications

    Article • August 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  277. Multinomial Computation and Factorial Theorems for Cryptographic Algorithm and Machine Learning

    Article • August 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  278. Factorials, Integers and Multinomial Coefficients and its Computing Techniques for Machine Learning and Cybersecurity

    Article • August 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  279. Combinatorial Theorems in Factorials with Multinomial Computation

    Article • August 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  280. Factorials, Integers, and Factorial Theorems for Computing and Cryptography

    Article • August 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  281. Factorial, Integers, and Multinomials for Algorithms

    Article • August 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  282. Computational and Numerical Methods for Combinatorial Geometric Series and its Applications

    Article • August 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  283. Computation of Geometric Series with Negative Exponents

    Article • August 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  284. Computation of Derivative of Geometric Series without Differentiation

    Article • August 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  285. Computational Method for Combinatorial Geometric Series and Binomial Theorems

    Article • July 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  286. New Idea to compute the Geometric Series and its Derivative

    Article • July 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  287. Computing Method for Combinatorial Geometric Series and Binomial Expansion

    Article • July 2022, Open Engineering Inc

    Dr. Chinnaraji Annamalai

  288. Numerical Method and Computation for Combinatorial Geometric Series and Binomial Theorems

    Article • July 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  289. Computing Method for Combinatorial Geometric Series and Binomial Expansion

    Article • July 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  290. A Theorem on the Annamalai’s Binomial Identities

    Article • July 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  291. Computing Method for Combinatorial Geometric Series and Binomial Expansion

    Article • July 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  292. Combinatorial Geometric Series and Binomial Theorems

    Article • July 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  293. Calculus and Computation for Geometric Series with Binomial Coefficients

    Article • July 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  294. Computational Method and Calculus for the Summation of Geometric Series and Binomial Expansions

    Article • July 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  295. Combinatorial Geometric Series

    Article • July 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  296. Computation of Summations of Annamalai’s Binomial Expansions

    Article • July 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  297. Computational Techniques and Calculus for the Summation of Geometric Series and Binomial Expansions

    Article • July 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  298. Computation and Calculus for the Summation of Geometric Series and Binomial Expansions

    Article • July 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  299. Computation Method for the Summation of Series of Binomial Expansions and Geometric Series with its Derivatives

    Article • July 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  300. Computational Technique and Differential Calculus for the Summation of Geometric Series and Binomial Expansions

    Article • July 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  301. Combinatorial and Algorithmic Technique for Computation of Binomial Expansions and Geometric Series with its Derivatives

    Article • July 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  302. Computation and Numerical Method for Summations of Binomial and Geometric Series

    Article • July 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  303. Differential Calculus for the Summation of Geometric Series with Binomial Expansions

    Article • July 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  304. Algorithmic Technique for Computation of Binomial Expansions and Geometric Series of Multiples of Powers of Two

    Article • July 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  305. Algorithmic and Numerical Techniques for Computation of Binomial and Geometric Series

    Article • June 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  306. Computation for the Summation of Binomial Expansions and Geometric Series of Multiples of Powers of Two

    Article • June 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  307. Computation for the Summation of Integers and Geometric Progression of Powers of Two

    Article • June 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  308. Numerical Computational Method for Computation of Binomial Expansions and Geometric Series

    Article • June 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  309. Computation Method for Summation of Binomial Expansions equal to Sum of Geometric Series with Exponents of Two

    Article • June 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  310. Computational Method for Summation of Binomial Expansions equal to Sum of Geometric Series with Exponents of 2

    Article • June 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  311. Computation and combinatorial Techniques for Binomial Coefficients and Geometric Series

    Article • June 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  312. Computing Method for Binomial Expansions and Geometric Series

    Article • June 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  313. Computing Method for Sum of Geometric Series and Binomial Expansions

    Article • June 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  314. Sum of the Summations of Binomial Expansions with Geometric Series

    Article • June 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  315. Computation of Geometric Series in Different Ways

    Article • June 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  316. Computing Method for the Summation of Series of Binomial Coefficients

    Article • June 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  317. Factorials, Integers and Mathematical and Binomial Techniques for Machine Learning and Cybersecurity

    Article • June 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  318. A novel computational technique for the geometric progression of powers of two

    Article • June 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  319. Sum of the Summation of Binomial Expansions with Optimized Binomial Coefficient

    Article • June 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  320. Combinatorial Techniques for Binomial Expansions with Multiples of 2

    Article • June 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  321. Factorials and Integers for Applications in Computing and Cryptography

    Article • June 2022, Cambridge University Press

    Dr. Chinnaraji Annamalai

  322. My New Idea for Optimized Combinatorial Techniques

    Article • June 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  323. Extension of Binomial Series with Optimized Binomial Coefficient

    Article • June 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  324. Factorial of Sum of Two Nonnegative Integers Is Equal to Multiple of the Product of Factorial of the Two Nonnegative Integers

    Article • June 2022, MDPI AG

    Dr. Chinnaraji Annamalai

  325. Analysis of the Relationship between Factorials and Integers

    Article • June 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  326. Factorial of Sum of Two nonnegative Integers is equal to Multiple of the Product of Factorial of the Two Nonnegative Integers

    Article • June 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  327. Factorial of Sum of Nonnegative Integers for Computing and Algorithms

    Article • June 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  328. Application of Factorial and Binomial identities in Communications, Information and Cybersecurity

    Article • May 2022, Springer Science + Business Media

    Dr. Chinnaraji Annamalai

  329. Intuitionistic Fuzzy sets and Combinatorial Techniques in Computation and Weather Analysis

    Article • May 2022, Open Engineering Inc

    Dr. Chinnaraji Annamalai

  330. Intuitionistic Fuzzy sets and Combinatorial Techniques in Computation and Weather Analysis

    Article • May 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  331. Computation of Sum of Optimized Binomial Coefficients and Application in Computational Science and Engineering

    Article • May 2022, Open Engineering Inc

    Dr. Chinnaraji Annamalai

  332. Computation of Sum of Optimized Binomial Coefficients and Application in Computational Science and Engineering

    Article • May 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  333. Application of Factorial and Binomial identities in Communication and Cybersecurity

    Article • May 2022, Springer Science + Business Media

    Dr. Chinnaraji Annamalai

  334. Application of Factorial and Binomial identities in Cybersecurity and Communications

    Article • May 2022, Springer Science + Business Media

    Dr. Chinnaraji Annamalai

  335. Computation of Binomial Expansions and Application in Science and Engineering

    Article • May 2022, Open Engineering Inc

    Dr. Chinnaraji Annamalai

  336. Application of Factorial and Binomial identities in Computing and Cybersecurity

    Article • May 2022, Springer Science + Business Media

    Dr. Chinnaraji Annamalai

  337. Sum of Summations of Annamalai’s Binomial Expansions

    Article • May 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  338. Application of Factorial and Binomial identities in Computing and Cybersecurity

    Article • May 2022, Springer Science + Business Media

    Dr. Chinnaraji Annamalai

  339. Relation between the Results of Binomial Expansions with Multiple of 2

    Article • May 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  340. A Binomial Expansion equal to Multiple of 2 with Non-Negative Exponents

    Article • May 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  341. Combinatorial Theorem for Multiple of Two with Exponents

    Article • May 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  342. Application of Factorial and Binomial identities in Cybersecurity

    Article • May 2022, Open Engineering Inc

    Dr. Chinnaraji Annamalai

  343. Application of Factorial and Binomial identities in Cybersecurity

    Article • May 2022, Springer Science + Business Media

    Dr. Chinnaraji Annamalai

  344. Application of Annamalai’s Factorial and Binomial identities in Cybersecurity

    Article • May 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  345. Differentiation and Integration of Annamalai’s Binomial Expansion

    Article • May 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  346. Theorems based on Annamalai’s Binomial Coefficient and Identity

    Article • May 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  347. Ascending and Descending Orders of Annamalai’s Binomial Coefficient

    Article • May 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  348. Binomial Distribution with Optimized Combination of Combinatorics

    Article • May 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  349. Intuitionistic fuzzy sets: new approach and applications

    Article • May 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  350. The Einstein’s Mass-Energy  Equivalence and the Relativistic Mass and Momentum derived from the Newton’s  Second Law of Motion                      

    Article • May 2022, Wiley

    Dr. Chinnaraji Annamalai

  351. A Model of Iterative Computations for Recursive Summability

    Article • May 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  352. Applications of exponential decay and geometric series in effective medicine dosage

    Article • May 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  353. Computational modelling for the formation of geometric series using Annamalai computing method

    Article • May 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  354. Novel Computing Technique in Combinatorics

    Article • May 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  355. Optimized Computing Technique for Combination in Combinatorics

    Article • May 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  356. Analysis and  Computation of Extended Geometric Series and Summability            

    Article • April 2022, Wiley

    Dr. Chinnaraji Annamalai

  357. Analysis and Computation of Extended Geometric Series and Summability

    Article • April 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  358. Annamalai’s  Binomial Identity and Theorem            

    Article • April 2022, Wiley

    Dr. Chinnaraji Annamalai

  359. Annamalai’s  Binomial Identity and Theorem            

    Article • April 2022, Wiley

    Dr. Chinnaraji Annamalai

  360. Annamalai’s Binomial Identity and Theorem

    Article • April 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  361. Computation of multiple binomial Series based on geometric series

    Article • April 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  362. Computation of  multiple binomial Series based on geometric series        

    Article • April 2022, Wiley

    Dr. Chinnaraji Annamalai

  363. Sum of Geometric Series with Negative Exponents

    Article • April 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  364. Sum of Geometric  Series with Negative Exponents             

    Article • April 2022, Wiley

    Dr. Chinnaraji Annamalai

  365. Series and Summations on Binomial Coefficients of Optimized Combination

    Article • The Journal of Engineering and Exact Sciences, April 2022, Universidade Federal de Vicosa

    Dr. Chinnaraji Annamalai

  366. Comparison between Optimized and Traditional Combinations of Combinatorics

    Article • April 2022, Wiley

    Dr. Chinnaraji Annamalai

  367. Multiple summations  of a geometric series and its binomial series                 

    Article • April 2022, Wiley

    Dr. Chinnaraji Annamalai

  368. Summations of Single Terms and Successive Terms of Geometric Series

    Article • April 2022, Wiley

    Dr. Chinnaraji Annamalai

  369. Summations of Single Terms and Successive Terms of Geometric Series

    Article • April 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  370. Multiple summations of a geometric series and its binomial series

    Article • April 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  371. Comparison between Optimized and Traditional Combinations of Combinatorics

    Article • April 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  372. Comparison between Optimized and traditional Combinations of Combinatorics

    Article • April 2022, Wiley

    Dr. Chinnaraji Annamalai

  373. Novel Binomial Series and its Summations

    Article • April 2022, Wiley

    Dr. Chinnaraji Annamalai

  374. Novel Binomial Series and its Summations

    Article • April 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  375. Novel Binomial Series and its Summations

    Article • April 2022, Wiley

    Dr. Chinnaraji Annamalai

  376. Combinatorial Relation of Optimized Combination with Permutation

    Article • March 2022, Center for Open Science

    Dr. Chinnaraji Annamalai

  377. Combinatorial Relation of Optimized Combination with Permutation Combinatorial Relation of Optimized Combination with Permutation

    Article • March 2022, Wiley

    Dr. Chinnaraji Annamalai

  378. A Binomial Expansion Equal to Multiple of 2 with Non-Negative Exponents

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  379. A Generalized Method for Proving the Theorem derived from the Binomial Coefficients in Combinatorial Geometric Series

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  380. A Theorem on Binomial Series

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  381. A Theorem on Successive Partitions of Binomial Coefficient

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  382. A Theorem on the Annamalai’s Binomial Identities

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  383. A Theorem on the Binomial Coefficients of Combinatorial Geometric Series and Some Solutions on Partitions of the Binomial Coefficients

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  384. Abelian Group on the Binomial Coefficients of Combinatorial Geometric Series

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  385. Algorithmic Approach for Computation of Binomial Expansions

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  386. Algorithmic Technique for Computation of Binomial Expansions and Geometric Series of Multiples of Powers of Two

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  387. Analysis of the Relationship between Integers and Factorial Functions

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  388. Annamalai's Binomial Identity and Theorem

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  389. Annamalai’s Binomial Expansion

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  390. Application of Factorial and Binomial identities inCybersecurity

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  391. Ascending and Descending Orders of Annamalai’s Binomial Coefficient

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  392. Binomial Coefficients and Identities in Combinatorial Geometric Series

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  393. Binomial Coefficients in Combinatorial Geometric Series and its Combinatorial Identities

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  394. Binomial Theorem on the Coefficients for Combinatorial Geometric Series

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  395. Combinatorial Relation of Optimized Combination with Permutation

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  396. Combinatorial Theorems in Factorials with Multinomial Computation

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  397. Comparison between Optimized and Traditional Combinations of Combinatorics

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  398. Computation Method for Combinatorial Geometric Series and its Applications

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  399. Computation and Analysis of Combinatorial Geometric Series and Binomial Series

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  400. Computation for the Summation of Binomial Expansions and Geometric Series of Multiples of Powers of Two

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  401. Computation for the Summation of Integers and Geometric Progression of Powers of Two

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  402. Computation of Derivative of Geometric Series without Differentiation

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  403. Computation of Factorial and Multinomial Theorems for Machine Leaning and Cybersecurity

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  404. Computation of Geometric Series with Negative Exponents

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  405. Computing Method for Combinatorial Geometric Series and Binomial Expansion

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  406. Construction of Novel Binomial Expansion

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  407. Differential Calculus for the Summation of Geometric Series with Binomial Expansions

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  408. Differentiation and Integration of Annamalai’s Binomial Expansion

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  409. Extension of Binomial Series with Optimized Binomial Coefficient

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  410. Factorial of Sum of Nonnegative Integers for Computing and Algorithms

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  411. Factorials, Integers and Mathematical and Binomial Techniques for Machine Learning and Cybersecurity

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  412. Factorials, Integers and Multinomial Coefficients and its Computing Techniques for Machine Learning and Cybersecurity

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  413. Factorials, Integers, Binomial Coefficient and Factorial Theorem

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  414. Factorials, Integers, and Factorial Theorems for Computing and Cryptography

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  415. Lemma on Combinatorial Geometric Series with Binomial Coefficients

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  416. Multinomial Theorem on the Binomial Coefficients for Combinatorial Geometric Series

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  417. Multinomial-based Factorial Theorem on the Binomial Coefficients for Combinatorial Geometric Series

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  418. Multiple Summations of a Geometric Series and Its Binomial Series

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  419. New Idea to Compute the Geometric Series and its Derivative

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  420. Novel Binomial Series and its Summations

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  421. Novel Multinomial Expansion and Theorem

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  422. Partition of Multinomial Coefficient

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  423. Successive Partition Method for Binomial Coefficient in Combinatorial Geometric Series

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  424. Sum of Geometric Series with Negative Exponents

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  425. Sum of Summations of Annamalai’s Binomial Expansions

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  426. Sum of the Summation of Binomial Expansions with Optimized Binomial Coefficient

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  427. Summation of Series of Binomial Coefficients

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  428. Summations of Single Terms and Successive Terms of Geometric Series

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  429. Theorems based on Annamalai’s Binomial Coefficient and Identity

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  430. Theorems on the Binomial Coefficients for Combinatorial Geometric Series

    Article • SSRN Electronic Journal, January 2022, Elsevier

    Dr. Chinnaraji Annamalai

  431. COMBINATORIAL TECHNIQUE FOR OPTIMIZING THE COMBINATION

    Article • The Journal of Engineering and Exact Sciences, June 2020, Universidade Federal de Vicosa

    Dr. Chinnaraji Annamalai, Prof. Vishnu Narayan Mishra

  432. Extension of ACM for Computing the Geometric Progression

    Article • Journal of Advances in Mathematics and Computer Science, April 2019, Sciencedomain International

    Dr. Chinnaraji Annamalai

  433. Computation of Series of Series Using Annamalai’s Computing Model

    Article • SSRN Electronic Journal, January 2019, Elsevier

    Dr. Chinnaraji Annamalai

  434. Annamalai’s Computing Model for Algorithmic Geometric Series and Its Mathematical Structures

    Article • Mathematics and Computer Science, January 2018, Science Publishing Group

    Dr. Chinnaraji Annamalai

  435. Algorithmic Computation of Annamalai’s Geometric Series and Summability

    Article • Mathematics and Computer Science, January 2018, Science Publishing Group

    Dr. Chinnaraji Annamalai

  436. Analysis and Modelling of Annamalai Computing Geometric Series and Summability

    Article • Mathematical Journal of Interdisciplinary Sciences, September 2017, Chitkara University Publications

    Dr. Chinnaraji Annamalai

  437. Applications of exponential decay and geometric series in effective medicine dosage

    Article • Advances in Bioscience and Biotechnology, January 2010, Scientific Research Publishing, Inc,

    Dr. Chinnaraji Annamalai