Dr. Chinnaraji Annamalai

All Stories

1. 
   Climate-Induced Mass Redistribution, Tectonic Plate Dynamics, and Advanced Mitigation via Tuned Mass Dampers

   Article • August 2026, Cambridge University Press

   Dr. Chinnaraji Annamalai

2. 
   Rigorous Derivations of Exponential Limits and the Base of Natural Logarithms

   Article • August 2026, Cambridge University Press

   Dr. Chinnaraji Annamalai

3. 
   Why is Infinity to the Power of Infinity a Determinate Form?

   Article • August 2026, Cambridge University Press

   Dr. Chinnaraji Annamalai

4. 
   Cascading Impacts of Human Activities on Atmospheric Coupling, Ocean Dynamics, Extreme Weather, and Geophysical Equilibrium

   Article • August 2026, Cambridge University Press

   Dr. Chinnaraji Annamalai

5. 
   The Stability of Cosmic Structures, Gravitational Potential Wells, and Gravity in Cosmic Equilibrium

   Article • August 2026, Cambridge University Press

   Dr. Chinnaraji Annamalai

6. 
   A Systematic Derivation of the Relativistic Dirac Wave Equation from Spacetime Operators and Commutation Principles

   Article • August 2026, Cambridge University Press

   Dr. Chinnaraji Annamalai

7. 
   From Cosmic Dust to Living Planet: Re-evaluating Earth's Genesis, Ocean Formation, and Dynamic Hydrology

   Article • August 2026, Cambridge University Press

   Dr. Chinnaraji Annamalai

8. 
   The Natural Imperative: A Mechanistic Framework for Life, Cosmic Evolution, and the Limits of Scientific Inquiry

   Article • August 2026, Cambridge University Press

   Dr. Chinnaraji Annamalai

9. 
   Unified Momentum Formulations in Special Relativity and Quantum Mechanics: Bridging Massive and Massless Particle Models

   Article • August 2026, Cambridge University Press

   Dr. Chinnaraji Annamalai

10. 
    Energy Classification, the Limits of Special Relativity, and Cosmological Implications

    Article • August 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

11. 
    Geometric Series of the Lorentz Factor in Special Relativity: Algebraic Structure and Energy-Momentum Decomposition

    Article • August 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

12. 
    A Systematic Approach to Deriving Relativistic Momentum and Energy Relations

    Article • August 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

13. 
    Energy, Mass, and Gravitational Interaction: Cosmological Cycles and Spacetime Dynamics

    Article • August 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

14. 
    On the Constancy of Cyclic Universes: A Conservation of Energy and Gravitational Equilibrium Perspective

    Article • August 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

15. 
    Cellular Dynamics and Emergent Vitality: A Biological and Systems-Based Perspective on Human Life

    Article • July 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

16. 
    Classical Approximations vs. Relativistic Realities: A Theoretical Analysis of Kinetic Energy

    Article • July 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

17. 
    Bounded Mass-Energy Dynamics and the Principle of Absolute Irreversibility in a Cyclic Spacetime Model

    Article • July 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

18. 
    Integrated Timekeeping Frameworks: How Atomic Clocks, Cellular Networks, and Smartphone Sensors Drive Modern Satellite Navigation

    Article • July 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

19. 
    The Role of the Lorentz Factor in Relativistic Mechanics, Gravitational Time Dilation, and Global Satellite Navigation Systems

    Article • July 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

20. 
    Derivation and Classical Limit of the Relativistic Lorentz Factor

    Article • July 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

21. 
    The Materialist Cosmos: Dismantling Supernatural Agency through the Laws of Physics and Evolutionary Biology

    Article • July 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

22. 
    Where Do Newton's Laws Fail? — Two Perspectives on Universal Gravitation and the Accurate Relativistic Mass-Energy Formulation

    Article • July 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

23. 
    Energy and Soul from a Scientific Perspective: A Philo-Physical Analysis

    Article • July 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

24. 
    From the Big Bang to the Electrochemical Reactions of the Human Brain: An Analysis of the Dissipation and Physical Transitions of Thought Waves in a Bio-geochemical Atmosphere

    Article • July 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

25. 
    The Chemical Unity of Life and the Evolutionary Cycle: The Scientific Relationship Between Plants and Animals

    Article • July 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

26. 
    The Relativistic Stellar Cosmic Cycle: Evaluating Planeto-Genesis through Mass-Energy Equivalence

    Article • July 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

27. 
    Decoding Sentience in the Machine: Qualia Digitization, Neuralink and the Architecture of Feeling-Centric Expert AI Systems

    Article • July 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

28. 
    The Pseudo-Scientific Equivalence of Soul and Energy: A Thermodynamic and Relativistic Critique

    Article • July 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

29. 
    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

30. 
    Generalized Multivariate Gaussian Distribution in Machine Learning for Industrial Anomaly Detection

    Article • May 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

31. 
    Trivariate Normal Distribution in Machine Learning for Industrial Anomaly Detection

    Article • May 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

32. 
    Machine Learning for Industrial Anomaly Detection using Bivariate Gaussian Probability Density Function: A Case Study

    Article • May 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

33. 
    Multivariate Gaussian Probability Density Function in Machine Learning for Industrial Anomaly Detection

    Article • May 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

34. 
    Machine Learning for Industrial Anomaly Detection: A Probabilistic Intelligence Approach

    Article • April 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

35. 
    Working Principle of an Infrared Search and Track (IRST) System

    Article • March 2026, Wiley

    Dr. Chinnaraji Annamalai

36. 
    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

37. 
    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

38. 
    A Methodological Framework for the Negative Binomial Theorem via Combinatorial Geometric Series and Generating Functions

    Article • February 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

39. 
    Combinatorial Geometric Series and Generating Function: A Methodological Advance for the Negative Binomial Theorem

    Article • February 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

40. 
    Integrating Annamalai Combinatorial Systems into the Foundations of Artificial Intelligence

    Article • January 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

41. 
    Comparative Analysis of Stochastic Modeling and Computational Efficiency in Poisson Binomial and Annamalai Frameworks

    Article • January 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

42. 
    Comparative Analysis of Stochastic Modeling and Computational Efficiency in Poisson Binomial and Annamalai Frameworks

    Article • January 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

43. 
    A Generating Function Approach to Finite Sum Identities in the Annamalai Combinatorial System

    Article • January 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

44. 
    Combinatorial Proof of Figurate Number Identities via the Cauchy Product

    Article • January 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

45. 
    The Unified Properties of the Annamalai Coefficient in Combinatorial Analysis

    Article • January 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

46. 
    Proving the Sum of Finite Combinatorial Geometric Series by Mathematical Induction

    Article • January 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

47. 
    A Derivation of Finite Sum Identity of Combinatorial Geometric Series

    Article • January 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

48. 
    Proof of Finite Sum Identity of Combinatorial Geometric Series

    Article • January 2026, Cambridge University Press

    Dr. Chinnaraji Annamalai

49. 
    Optimizing Deep Learning Architectures via the Log-Annamalai Probability Mass Function and Generating Functions

    Article • January 2026, Elsevier

    Dr. Chinnaraji Annamalai

50. 
    Accelerating Real-Time Network Analytics with Log-Annamalai Negative Binomial Distribution on FPGAs

    Article • December 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

51. 
    Annamalai Combinatorial System

    Article • December 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

52. 
    Combinatorial System: Binomial Coefficients and Generating Functions for Combinatorial Geometric Series

    Article • December 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

53. 
    Combinatorial System: Binomial Coefficients, CGS and Generating Functions

    Article • December 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

54. 
    Leveraging the Annamalai Coefficient for Optimized Stochastic Modeling in High-Dimensional Network Traffic

    Article • December 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

55. 
    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

56. 
    Annamalai’s Combinatorial System and Generating Functions

    Article • December 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

57. 
    Combinatorial Geometric Series and Negative Binomial Theorem: A Methodological Advance

    Article • December 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

58. 
    Combinatorial Geometric Series and Negative Binomial Theorem: A Methodological Advance

    Article • December 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

59. 
    Combinatorial Geometric Series and Negative Binomial Theorem: A Methodological Advance

    Article • December 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

60. 
    Annamalai's Binomial Coefficient, Identities, and Generating Functions

    Article • December 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

61. 
    Combinatorial Geometric Series and Generating Functions

    Article • December 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

62. 
    Combinatorial System: Coefficients, Identities, and Generating Functions

    Article • December 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

63. 
    Combinatorial System: Coefficients, Identities, and Generating Functions

    Article • December 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

64. 
    A Novel Derivation of Relativistic Energy-Momentum Relation

    Article • October 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

65. 
    Deriving the Accurate Mass-Energy Equivalence from the Energy-Momentum Relation

    Article • October 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

66. 
    Derivation of Relativistic Momentum corresponding to Classical Momentum

    Article • October 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

67. 
    Dirac’s Equation of Relativistic Energy-Momentum: A Compressive Derivation

    Article • October 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

68. 
    Analysis of Mass-Energy Equivalence in Chemical vs. Nuclear Reactions

    Article • September 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

69. 
    The Misconception of Relativistic Mass: A Modern Perspective on Mass and Energy in Special Relativity

    Article • September 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

70. 
    The Spherical Gravitational Well Within a Cube

    Article • September 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

71. 
    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

72. 
    The Conservation of Mass-Energy in the Expanding Cosmos

    Article • September 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

73. 
    The Interplay of Mass and Energy: A Modern Relativistic Perspective

    Article • September 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

74. 
    The Role of Gravity in Cosmic Stability

    Article • September 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

75. 
    The Einstein’s Kinetic Energy: Is it valid?

    Article • April 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

76. 
    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

77. 
    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

78. 
    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

79. 
    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

80. 
    The Einstein’s Mass-Energy Equivalence relating to Total Energy

    Article • February 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

81. 
    The Network of Cosmic Systems keeps the Universe as Stable

    Article • February 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

82. 
    The Universe with its Systems is Stable

    Article • February 2025, Cambridge University Press

    Dr. Chinnaraji Annamalai

83. 
    Derivation of Relativistic Momentum Corresponding to Classical Momentum

    Article • January 2025, Elsevier

    Dr. Chinnaraji Annamalai

84. 
    Combinatorial System: Coefficients, Identities, and Generating Functions

    Article • January 2025, Elsevier

    Dr. Chinnaraji Annamalai

85. 
    Novel Method to compute the Sum of Geometric Series on Real Numbers

    Article • November 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

86. 
    Novel Technique to compute the Sum of Geometric Series on Fraction

    Article • November 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

87. 
    Computing the Sum of Geometric Series based on Algebraic Expression

    Article • November 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

88. 
    New Method to compute the Sum of Geometric Series on Fractional Numbers

    Article • November 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

89. 
    Computation of Novel Binomial Series and Theorems using Bivariable Geometric Series based on Algebraic Expression

    Article • November 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

90. 
    Computation of the Sum of Geometric Series on Numerical Expression

    Article • November 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

91. 
    Computation of Novel Binomial Series and Theorems using Multivariable Geometric Series

    Article • November 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

92. 
    Computation of Geometric Series on Numerical Expansions

    Article • November 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

93. 
    Computation of Novel Binomial Series using Bivariable Geometric Series

    Article • November 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

94. 
    The Gaussian Integral for the Normal Distribution in Machine Leaning

    Article • October 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

95. 
    Computation of Geometric Series on Relation between Dirichlet Eta Function and Riemann Zeta Function

    Article • October 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

96. 
    Sum of Series involving Anna Iota Function and Riemann Zeta Function

    Article • September 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

97. 
    Computation of Analog Theorems for the Annamalai Iota Function

    Article • September 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

98. 
    Computation of Analog Theorems for the Dirichlet Eta Function

    Article • September 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

99. 
    Computation of the Riemann Zeta Function equal to the Harmonic Series

    Article • September 2024, Cambridge University Press

    Dr. Chinnaraji Annamalai

100. 
     Computation of Analog Theorem for Dirichlet Eta Function and Riemann Zeta Function

     Article • September 2024, Cambridge University Press

     Dr. Chinnaraji Annamalai

101. 
     Application of Geometric Series and Maclaurin Series Relating to Taylor Series

     Article • August 2024, Cambridge University Press

     Dr. Chinnaraji Annamalai

102. 
     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

103. 
     Product of Geometric Series on Prime Numbers is equal to Sum of Natural Numbers

     Article • August 2024, Cambridge University Press

     Dr. Chinnaraji Annamalai

104. 
     Riemann Zeta Function and Dirichlet Eta Function relating to Alternative Harmonic Series

     Article • August 2024, Cambridge University Press

     Dr. Chinnaraji Annamalai

105. 
     The main reason why the Euler product is not equal to the Riemann Zeta function

     Article • August 2024, Cambridge University Press

     Dr. Chinnaraji Annamalai

106. 
     Disproof of the Euler Product equal to the Riemann Zeta Function   

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

     Dr. Chinnaraji Annamalai

107. 
     Representation of the Euler Product for the Riemann Zeta Function

     Article • July 2024, Cambridge University Press

     Dr. Chinnaraji Annamalai

108. 
     Computation of the Riemann Zeta Function for deriving the Euler Product

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

     Dr. Chinnaraji Annamalai

109. 
     A Simple Proof of the Euler Product for the Riemann Zeta Function

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

     Dr. Chinnaraji Annamalai

110. 
     New Mathematical Model for Quadratics

     Article • March 2024, Cambridge University Press

     Dr. Chinnaraji Annamalai

111. 
     TCP/IP and Cellular Networks of GSM

     Article • February 2024, Cambridge University Press

     Dr. Chinnaraji Annamalai

112. 
     Energy of the Object in Motion

     Article • February 2024, Cambridge University Press

     Dr. Chinnaraji Annamalai

113. 
     Equations of the Energy-Work Relation: Right and Wrong

     Article • February 2024, Cambridge University Press

     Dr. Chinnaraji Annamalai

114. 
     Error Correction in the Equations of Energy-Work Relation

     Article • February 2024, Cambridge University Press

     Dr. Chinnaraji Annamalai

115. 
     Upper Limits for Velocity, Momentum, and Energy of Motion

     Article • January 2024, Cambridge University Press

     Dr. Chinnaraji Annamalai

116. 
     Variations on the Equations of Energy-Work Relation

     Article • January 2024, Cambridge University Press

     Dr. Chinnaraji Annamalai

117. 
     Energy-Force Relation

     Article • January 2024, Cambridge University Press

     Dr. Chinnaraji Annamalai

118. 
     Einstein’s Special Theory of Relativity: A New Mass-Energy Equation

     Article • January 2024, Cambridge University Press

     Dr. Chinnaraji Annamalai

119. 
     Computation of the Euler Product Representation for the Riemann Zeta Function

     Article • January 2024, Elsevier

     Dr. Chinnaraji Annamalai

120. 
     Einstein’s Special Theory of Relativity: A New Mass-Energy Equivalence

     Article • SSRN Electronic Journal, January 2024, Elsevier

     Dr. Chinnaraji Annamalai

121. 
     Energy of the Object in Motion

     Article • SSRN Electronic Journal, January 2024, Elsevier

     Dr. Chinnaraji Annamalai

122. 
     New Mathematical Model for Quadratics

     Article • SSRN Electronic Journal, January 2024, Elsevier

     Dr. Chinnaraji Annamalai

123. 
     TCP/IP and Cellular Networks of GSM

     Article • SSRN Electronic Journal, January 2024, Elsevier

     Dr. Chinnaraji Annamalai

124. 
     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

125. 
     Einstein’s Special Theory of Relativity: A New Mass-Energy Equation

     Article • December 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

126. 
     Upper Limits for Relativistic Energy and Momentum

     Article • December 2023, Cambridge University Press

     Dr. Chinnaraji Annamalai

127. 
     Upper Limits for Relativistic Energy and Momentum

     Article • December 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

128. 
     Upper Limit for the Energy of Motion

     Article • December 2023, Cambridge University Press

     Dr. Chinnaraji Annamalai

129. 
     Upper Limit for the Energy of Motion

     Article • December 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

130. 
     A New Mass-Energy Equivalence from Lorentz Factor and Energy of Motion

     Article • December 2023, Cambridge University Press

     Dr. Chinnaraji Annamalai

131. 
     Mass-Energy Equivalence: Light Energy

     Article • December 2023, Cambridge University Press

     Dr. Chinnaraji Annamalai

132. 
     A New Mass-Energy Equivalence from Lorentz Factor and Energy of Motion

     Article • December 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

133. 
     Binomial Series without Binomial Coefficients

     Article • December 2023, Cambridge University Press

     Dr. Chinnaraji Annamalai

134. 
     Energy-Momentum Equivalence

     Article • December 2023, Cambridge University Press

     Dr. Chinnaraji Annamalai

135. 
     Energy-Work Equivalence

     Article • December 2023, Cambridge University Press

     Dr. Chinnaraji Annamalai

136. 
     Momentum-Velocity Equivalence

     Article • November 2023, Cambridge University Press

     Dr. Chinnaraji Annamalai

137. 
     Computation of Mass-Energy Equation from Lorentz Factor and Kinetic Energy

     Article • November 2023, Cambridge University Press

     Dr. Chinnaraji Annamalai

138. 
     Binomial Geometric Series for Computational Application

     Article • November 2023, Cambridge University Press

     Dr. Chinnaraji Annamalai

139. 
     Novel Binomial Series without Binomial Coefficients

     Article • November 2023, Cambridge University Press

     Dr. Chinnaraji Annamalai

140. 
     Computation of Mass-Energy Equation from Lorentz Factor and Kinetic Energy

     Article • November 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

141. 
     A Computational Comparison of Novel and Traditional Binomial Series

     Article • November 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

142. 
     Novel Binomial Series without Binomial Coefficients

     Article • November 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

143. 
     Binomial Geometric Series for Computational Application

     Article • November 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

144. 
     A Novel Computational Approach to Binomial Coefficients in Discrete System

     Article • October 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

145. 
     Lorentz Factor and Time Dilation on the Special Theory of Relativity

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

     Dr. Chinnaraji Annamalai

146. 
     Lorentz Factor and Time Dilation on the Special Theory of Relativity

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

     Dr. Chinnaraji Annamalai

147. 
     Computational Technique for Geometric Series with Radicals

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

     Dr. Chinnaraji Annamalai

148. 
     Binomial Geometric Series

     Article • October 2023, Cambridge University Press

     Dr. Chinnaraji Annamalai

149. 
     Geometric Progression-Based Binomial Series for Computing Application

     Article • October 2023, Cambridge University Press

     Dr. Chinnaraji Annamalai

150. 
     Computational Technique for Geometric Series with Radicals

     Article • October 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

151. 
     Lorentz Factor and Time Dilation on the Special Theory of Relativity

     Article • October 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

152. 
     Binomial Geometric Series

     Article • October 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

153. 
     Geometric Progression-Based Binomial Series for Computing Application

     Article • October 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

154. 
     A Generalized Computational Method for Multi-Ordered Geometric Series

     Article • September 2023, Cambridge University Press

     Dr. Chinnaraji Annamalai

155. 
     New Approach to Geometric Series for Computational Applications

     Article • September 2023, Cambridge University Press

     Dr. Chinnaraji Annamalai

156. 
     Computation of Geometric Series: A New Approach

     Article • September 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

157. 
     A Novel Approach to Computation of Multiple Geometric Series

     Article • September 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

158. 
     New Approach to Geometric Series for Computational Applications

     Article • September 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

159. 
     A New Perspective on Geometric Series for Computing Applications

     Article • September 2023, Cambridge University Press

     Dr. Chinnaraji Annamalai

160. 
     A New Perspective on Geometric Series for Computing Applications

     Article • August 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

161. 
     Novel Geometric Series for Application of Computing Science

     Article • August 2023, Cambridge University Press

     Dr. Chinnaraji Annamalai

162. 
     Novel Geometric Series for Application of Cryptography

     Article • August 2023, Cambridge University Press

     Dr. Chinnaraji Annamalai

163. 
     Novel Geometric Series for Application of Cryptography

     Article • August 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

164. 
     Novel Geometric Series for Application of Computational Science

     Article • August 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

165. 
     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

166. 
     Mass-Energy Equivalence: Light Energy

     Article • June 2023, Cambridge University Press

     Dr. Chinnaraji Annamalai

167. 
     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

168. 
     Mass-Energy Equivalence: Light Energy

     Article • June 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

169. 
     Mass-Energy Equivalence derived from Newtonian mechanics

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

     Dr. Chinnaraji Annamalai

170. 
     Einstein’s Mass-Energy Equivalence is not applicable to Photon Energy

     Article • June 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

171. 
     A Mathematical Approach to the Momentum Equations of Massless Photon and Particle with Relativistic Mass

     Article • June 2023, Cambridge University Press

     Dr. Chinnaraji Annamalai

172. 
     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

173. 
     Mass-Energy Equivalence derived from Work and Kinetic Energy

     Article • June 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

174. 
     Work done by Time is equal to Einstein’s Mass-Energy Equivalence

     Article • June 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

175. 
     Mathematical Approach to the Momentum Equations of Massless Photon and Particle with Relativistic Mass

     Article • June 2023, Open Engineering Inc

     Dr. Chinnaraji Annamalai

176. 
     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

177. 
     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

178. 
     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

179. 
     Relation between Kinetic Energy and Mass-Energy Equivalence

     Article • May 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

180. 
     Relation between Kinetic Energy and Relativistic Mass-Energy

     Article • May 2023, Open Engineering Inc

     Dr. Chinnaraji Annamalai

181. 
     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

182. 
     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

183. 
     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

184. 
     The Starting Point of Complex Number

     Article • May 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

185. 
     A Theorem on the Imaginary Number √(-1)

     Article • May 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

186. 
     Biosystems and Ghosts

     Article • May 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

187. 
     Speed of Massless Object is equal to the Speed of Light

     Article • May 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

188. 
     An Alternative Method for the Gamma Function derived from Natural Logarithm and Pi Function

     Article • May 2023, Cambridge University Press

     Dr. Chinnaraji Annamalai

189. 
     Speed of Matter is less than Speed of Light

     Article • May 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

190. 
     E=mc^2 : Mass-Energy Equivalence

     Article • May 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

191. 
     An Alternative Method for the Gamma Function derived from Natural Logarithm and Pi Function

     Article • May 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

192. 
     Geometric Series with Binomial Coefficients: A New Approach

     Article • May 2023, Cambridge University Press

     Dr. Chinnaraji Annamalai

193. 
     Gamma Function derived from Natural Logarithm and Pi Function

     Article • May 2023, Cambridge University Press

     Dr. Chinnaraji Annamalai

194. 
     Geometric Series with Binomial Coefficients: A New Approach

     Article • April 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

195. 
     Proof of Gamma Function using Natural Logarithm and Pi Function

     Article • April 2023, Cambridge University Press

     Dr. Chinnaraji Annamalai

196. 
     A Simple Proof of Pi Value and Euler’s Identity

     Article • April 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

197. 
     Factorial Theorem for Computation of Factorials to Positive Real Numbers

     Article • April 2023, Cambridge University Press

     Dr. Chinnaraji Annamalai

198. 
     Gamma Function derived from Factorial Function based-Pi Function

     Article • April 2023, Cambridge University Press

     Dr. Chinnaraji Annamalai

199. 
     Gamma Function derived from Natural Logarithm and Pi Function

     Article • April 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

200. 
     Factorial Theorem for Computing the Factorial of Positive Real Number

     Article • April 2023, Cambridge University Press

     Dr. Chinnaraji Annamalai

201. 
     Review on the Gamma Function and Error Correction

     Article • April 2023, Cambridge University Press

     Dr. Chinnaraji Annamalai

202. 
     Analysis of Factorial Function for Non-Negative Real Numbers

     Article • April 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

203. 
     Review on the Gamma Function and Error Correction

     Article • March 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

204. 
     Factorials: Difference between 0! and 1!

     Article • March 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

205. 
     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

206. 
     Theorem on the Binomial Coefficient for Positive Real Number

     Article • March 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

207. 
     Factorial Theorem: An Alternative to Gamma Function

     Article • March 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

208. 
     Binomial Coefficients and Factorials for Non-Negative Real Numbers

     Article • March 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

209. 
     Real Numbers with Binomial Coefficients of Geometric Series

     Article • February 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

210. 
     Finite and Infinite Geometric Series with Binomial Coefficients

     Article • February 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

211. 
     Combinatorial Geometric Series: Infinite Series with Binomial Coefficients

     Article • February 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

212. 
     Computation of Binomial Coefficient with Real Number

     Article • February 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

213. 
     Annamalai Series

     Article • February 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

214. 
     Summation of Combinatorial Geometric Series

     Article • February 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

215. 
     Fourier Series with Binomial Coefficients of Combinatorial Geometric Series

     Article • February 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

216. 
     Trigonometric Equations and Series by Combinatorial Geometric Series

     Article • February 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

217. 
     Application of combinatorial Algebraic Equations in Computing and Cybersecurity

     Article • January 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

218. 
     Computation of Algebraic Equations of Combinatorial Geometric Series

     Article • January 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

219. 
     Method for solving the Algebraic Equations of Combinatorial Geometric Series

     Article • January 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

220. 
     Analysis of Combinatorial Binomial Coefficients and Series

     Article • January 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

221. 
     System of Novel Binomial Coefficients and Series

     Article • January 2023, Center for Open Science

     Dr. Chinnaraji Annamalai

222. 
     A Computational Comparison of Novel and Traditional Binomial Series

     Article • SSRN Electronic Journal, January 2023, Elsevier

     Dr. Chinnaraji Annamalai

223. 
     A Novel Approach to Computation of Multiple Geometric Series

     Article • SSRN Electronic Journal, January 2023, Elsevier

     Dr. Chinnaraji Annamalai

224. 
     A Novel Mass-Energy Equation from Lorentz Factor and Energy of Motion

     Article • SSRN Electronic Journal, January 2023, Elsevier

     Dr. Chinnaraji Annamalai

225. 
     A Simple Proof of Pi Value and Euler’s Identity

     Article • SSRN Electronic Journal, January 2023, Elsevier

     Dr. Chinnaraji Annamalai

226. 
     A Theorem on the Imaginary Number √(-1)

     Article • SSRN Electronic Journal, January 2023, Elsevier

     Dr. Chinnaraji Annamalai

227. 
     Analysis of Combinatorial Binomial Coefficients and Series

     Article • SSRN Electronic Journal, January 2023, Elsevier

     Dr. Chinnaraji Annamalai

228. 
     Annamalai Series

     Article • SSRN Electronic Journal, January 2023, Elsevier

     Dr. Chinnaraji Annamalai

229. 
     Binomial Coefficients and Factorials for Non-Negative Real Numbers

     Article • SSRN Electronic Journal, January 2023, Elsevier

     Dr. Chinnaraji Annamalai

230. 
     Combinatorial Geometric Series: Infinite Series with Binomial Coefficients

     Article • SSRN Electronic Journal, January 2023, Elsevier

     Dr. Chinnaraji Annamalai

231. 
     Computation of Algebraic Equations of Combinatorial Geometric Series

     Article • SSRN Electronic Journal, January 2023, Elsevier

     Dr. Chinnaraji Annamalai

232. 
     Computation of Algebraic Expressions and Geometric Series with Radicals

     Article • SSRN Electronic Journal, January 2023, Elsevier

     Dr. Chinnaraji Annamalai

233. 
     Computation of Binomial Coefficient with Real Number

     Article • SSRN Electronic Journal, January 2023, Elsevier

     Dr. Chinnaraji Annamalai

234. 
     E=mc^2 : Mass-Energy Equivalence

     Article • SSRN Electronic Journal, January 2023, Elsevier

     Dr. Chinnaraji Annamalai

235. 
     Factorial Theorem: An Alternative to Gamma Function

     Article • SSRN Electronic Journal, January 2023, Elsevier

     Dr. Chinnaraji Annamalai

236. 
     Finite and Infinite Geometric Series with Binomial Coefficients

     Article • SSRN Electronic Journal, January 2023, Elsevier

     Dr. Chinnaraji Annamalai

237. 
     Fourier Series with Binomial Coefficients of Combinatorial Geometric Series

     Article • SSRN Electronic Journal, January 2023, Elsevier

     Dr. Chinnaraji Annamalai

238. 
     Lorentz Factor and Time Dilation on the Special Theory of Relativity

     Article • SSRN Electronic Journal, January 2023, Elsevier

     Dr. Chinnaraji Annamalai

239. 
     Method for Solving the Algebraic Equations of Combinatorial Geometric Series

     Article • SSRN Electronic Journal, January 2023, Elsevier

     Dr. Chinnaraji Annamalai

240. 
     Novel Geometric Series for Application of Cryptography

     Article • SSRN Electronic Journal, January 2023, Elsevier

     Dr. Chinnaraji Annamalai

241. 
     Real Numbers with Binomial Coefficients of Geometric Series

     Article • SSRN Electronic Journal, January 2023, Elsevier

     Dr. Chinnaraji Annamalai

242. 
     Review on the Gamma Function and Error Correction

     Article • SSRN Electronic Journal, January 2023, Elsevier

     Dr. Chinnaraji Annamalai

243. 
     Summation of Combinatorial Geometric Series

     Article • SSRN Electronic Journal, January 2023, Elsevier

     Dr. Chinnaraji Annamalai

244. 
     System of Novel Binomial Coefficients and Series

     Article • SSRN Electronic Journal, January 2023, Elsevier

     Dr. Chinnaraji Annamalai

245. 
     Theorem on the Binomial Coefficient for Positive Real Number

     Article • SSRN Electronic Journal, January 2023, Elsevier

     Dr. Chinnaraji Annamalai

246. 
     Trigonometric Equations and Series by Combinatorial Geometric Series

     Article • SSRN Electronic Journal, January 2023, Elsevier

     Dr. Chinnaraji Annamalai

247. 
     Upper Limits for Velocity, Momentum, and Energy of Motion

     Article • SSRN Electronic Journal, January 2023, Elsevier

     Dr. Chinnaraji Annamalai

248. 
     Computational Technique for Geometric Series with Radicals

     Article • January 2023, Elsevier

     Dr. Chinnaraji Annamalai

249. 
     Einstein’s Mass-Energy Equivalence is Not Applicable to Photon Energy

     Article • January 2023, Elsevier

     Dr. Chinnaraji Annamalai

250. 
     Geometric Progression-Based Binomial Series for Computing Application

     Article • January 2023, Elsevier

     Dr. Chinnaraji Annamalai

251. 
     Geometric Series with Binomial Coefficients: A New Approach

     Article • January 2023, Elsevier

     Dr. Chinnaraji Annamalai

252. 
     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

253. 
     Novel Multinomial Expansion and Theorem

     Article • November 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

254. 
     Construction of Novel Binomial Theorem

     Article • November 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

255. 
     Annamalai’s Binomial Expansion

     Article • October 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

256. 
     Algorithmic Approach for Computation of Binomial Expansions

     Article • October 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

257. 
     Computation and Analysis of Combinatorial Geometric Series and Binomial Series

     Article • October 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

258. 
     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

259. 
     Computation for the Summation of Binomial Series and Combinatorial Geometric Series

     Article • October 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

260. 
     Two Different and Equal Coefficients of Combinatorial Geometric Series

     Article • October 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

261. 
     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

262. 
     Computation and Summation of Binomial Series and Combinatorial Geometric Series

     Article • October 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

263. 
     Computation and Summation of Binomial Series and Combinatorial Geometric Progression

     Article • October 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

264. 
     Computation and Analysis of Binomial Series

     Article • October 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

265. 
     Computational Analysis of Binomial Series

     Article • October 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

266. 
     A Theorem on Binomial Series

     Article • October 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

267. 
     Sum of Binomial Coefficients and its Lemma

     Article • October 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

268. 
     Theorems on Binomial Series

     Article • October 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

269. 
     The Root of a Binomial Coefficient is equal to the Sum of its Leaves

     Article • October 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

270. 
     Binomial Coefficient: Root, Predecessor, Successor, and Leaf

     Article • September 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

271. 
     Lemma on Combinatorial Geometric Series with Binomial Coefficients

     Article • September 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

272. 
     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

273. 
     Ring Field and Vector Space on Combinatorial Geometric Series and Binomial Coefficients

     Article • September 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

274. 
     Sum of Successive Partitions of Binomial Coefficient

     Article • September 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

275. 
     Alternative to the Binomial Series or Binomial Theorem

     Article • September 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

276. 
     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

277. 
     Computation and Calculus for Combinatorial Geometric Series and Binomial Identities and Expansions

     Article • September 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

278. 
     Sum of Successive Partitions of Binomial Coefficient

     Article • September 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

279. 
     Scalar and Vector Space of Combinatorial Geometric Series

     Article • September 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

280. 
     Commutative Ring and Field on the Binomial Coefficients of Combinatorial Geometric Series

     Article • September 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

281. 
     Construction and Analysis of Binomial Coefficients

     Article • September 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

282. 
     Binomial Coefficients of Combinatorial Geometric Series: System of Natural Numbers

     Article • September 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

283. 
     Real and Complex Numbers of Binomial Coefficients in Combinatorial Geometric Series

     Article • September 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

284. 
     Combinatorial Geometric Series: Vector Space

     Article • September 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

285. 
     Commutative Division Ring and Skew Field on the Binomial Coefficients of Combinatorial Geometric Series

     Article • September 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

286. 
     Sum of Combinatorial Geometric Series

     Article • September 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

287. 
     Abelian Group on the Binomial Coefficients of Combinatorial Geometric Series

     Article • September 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

288. 
     Abelian Group on the Binomial Coefficients of Combinatorial Geometric Series

     Article • September 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

289. 
     Generalized Methods to prove the Factorial and Multinomial Theorems for Machine Leaning and Cybersecurity

     Article • September 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

290. 
     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

291. 
     Partition of Multinomial Coefficient

     Article • September 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

292. 
     Computation of Binomial, Factorial and Multinomial Theorems for Machine Leaning and Cybersecurity

     Article • September 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

293. 
     Successive Partition Method for Binomial Coefficient in Combinatorial Geometric Series

     Article • September 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

294. 
     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

295. 
     Theorems on the Binomial Coefficients for Combinatorial Geometric Series

     Article • September 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

296. 
     Computation of Factorial and Multinomial Theorems for Machine Leaning and Cybersecurity

     Article • August 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

297. 
     Computation of Multinomial and Factorial Theorems for Cryptography and Machine Learning

     Article • August 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

298. 
     Binomial Theorem on the Coefficients for Combinatorial Geometric Series

     Article • August 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

299. 
     Computation of Combinatorial Geometric Series and its Combinatorial Identities for Cryptographic Algorithm and Machine Learning

     Article • August 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

300. 
     Multinomial-based Factorial Theorem on the Binomial Coefficients for Combinatorial Geometric Series

     Article • August 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

301. 
     Binomial Identities on the Coefficients for Combinatorial Geometric Series

     Article • August 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

302. 
     Binomial Coefficients and Identities in Combinatorial Geometric Series

     Article • August 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

303. 
     Computation of Combinatorial Geometric Series and its Combinatorial Identities for Machine Learning and Cybersecurity

     Article • August 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

304. 
     Combinatorial Techniques and Multinomial Theorems with Factorials for Machine Learning and Cybersecurity

     Article • August 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

305. 
     Multinomial Computation and Factorial Theorems for Artificial Intelligence and Cybersecurity

     Article • August 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

306. 
     Factorials, Integers, Binomial Coefficient and Factorial Theorem

     Article • August 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

307. 
     Binomial Coefficients and Identities in Combinatorial Geometric Series

     Article • August 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

308. 
     Computation Method for Combinatorial Geometric Series and its Applications

     Article • August 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

309. 
     Multinomial Computation and Factorial Theorems for Cryptographic Algorithm and Machine Learning

     Article • August 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

310. 
     Factorials, Integers and Multinomial Coefficients and its Computing Techniques for Machine Learning and Cybersecurity

     Article • August 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

311. 
     Combinatorial Theorems in Factorials with Multinomial Computation

     Article • August 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

312. 
     Factorials, Integers, and Factorial Theorems for Computing and Cryptography

     Article • August 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

313. 
     Factorial, Integers, and Multinomials for Algorithms

     Article • August 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

314. 
     Computational and Numerical Methods for Combinatorial Geometric Series and its Applications

     Article • August 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

315. 
     Computation of Geometric Series with Negative Exponents

     Article • August 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

316. 
     Computation of Derivative of Geometric Series without Differentiation

     Article • August 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

317. 
     Computational Method for Combinatorial Geometric Series and Binomial Theorems

     Article • July 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

318. 
     New Idea to compute the Geometric Series and its Derivative

     Article • July 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

319. 
     Computing Method for Combinatorial Geometric Series and Binomial Expansion

     Article • July 2022, Open Engineering Inc

     Dr. Chinnaraji Annamalai

320. 
     Numerical Method and Computation for Combinatorial Geometric Series and Binomial Theorems

     Article • July 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

321. 
     Computing Method for Combinatorial Geometric Series and Binomial Expansion

     Article • July 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

322. 
     A Theorem on the Annamalai’s Binomial Identities

     Article • July 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

323. 
     Computing Method for Combinatorial Geometric Series and Binomial Expansion

     Article • July 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

324. 
     Combinatorial Geometric Series and Binomial Theorems

     Article • July 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

325. 
     Calculus and Computation for Geometric Series with Binomial Coefficients

     Article • July 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

326. 
     Computational Method and Calculus for the Summation of Geometric Series and Binomial Expansions

     Article • July 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

327. 
     Combinatorial Geometric Series

     Article • July 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

328. 
     Computation of Summations of Annamalai’s Binomial Expansions

     Article • July 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

329. 
     Computational Techniques and Calculus for the Summation of Geometric Series and Binomial Expansions

     Article • July 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

330. 
     Computation and Calculus for the Summation of Geometric Series and Binomial Expansions

     Article • July 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

331. 
     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

332. 
     Computational Technique and Differential Calculus for the Summation of Geometric Series and Binomial Expansions

     Article • July 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

333. 
     Combinatorial and Algorithmic Technique for Computation of Binomial Expansions and Geometric Series with its Derivatives

     Article • July 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

334. 
     Computation and Numerical Method for Summations of Binomial and Geometric Series

     Article • July 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

335. 
     Differential Calculus for the Summation of Geometric Series with Binomial Expansions

     Article • July 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

336. 
     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

337. 
     Algorithmic and Numerical Techniques for Computation of Binomial and Geometric Series

     Article • June 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

338. 
     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

339. 
     Computation for the Summation of Integers and Geometric Progression of Powers of Two

     Article • June 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

340. 
     Numerical Computational Method for Computation of Binomial Expansions and Geometric Series

     Article • June 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

341. 
     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

342. 
     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

343. 
     Computation and combinatorial Techniques for Binomial Coefficients and Geometric Series

     Article • June 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

344. 
     Computing Method for Binomial Expansions and Geometric Series

     Article • June 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

345. 
     Computing Method for Sum of Geometric Series and Binomial Expansions

     Article • June 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

346. 
     Sum of the Summations of Binomial Expansions with Geometric Series

     Article • June 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

347. 
     Computation of Geometric Series in Different Ways

     Article • June 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

348. 
     Computing Method for the Summation of Series of Binomial Coefficients

     Article • June 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

349. 
     Factorials, Integers and Mathematical and Binomial Techniques for Machine Learning and Cybersecurity

     Article • June 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

350. 
     A novel computational technique for the geometric progression of powers of two

     Article • June 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

351. 
     Sum of the Summation of Binomial Expansions with Optimized Binomial Coefficient

     Article • June 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

352. 
     Combinatorial Techniques for Binomial Expansions with Multiples of 2

     Article • June 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

353. 
     Factorials and Integers for Applications in Computing and Cryptography

     Article • June 2022, Cambridge University Press

     Dr. Chinnaraji Annamalai

354. 
     My New Idea for Optimized Combinatorial Techniques

     Article • June 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

355. 
     Extension of Binomial Series with Optimized Binomial Coefficient

     Article • June 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

356. 
     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

357. 
     Analysis of the Relationship between Factorials and Integers

     Article • June 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

358. 
     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

359. 
     Factorial of Sum of Nonnegative Integers for Computing and Algorithms

     Article • June 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

360. 
     Application of Factorial and Binomial identities in Communications, Information and Cybersecurity

     Article • May 2022, Springer Science + Business Media

     Dr. Chinnaraji Annamalai

361. 
     Intuitionistic Fuzzy sets and Combinatorial Techniques in Computation and Weather Analysis

     Article • May 2022, Open Engineering Inc

     Dr. Chinnaraji Annamalai

362. 
     Intuitionistic Fuzzy sets and Combinatorial Techniques in Computation and Weather Analysis

     Article • May 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

363. 
     Computation of Sum of Optimized Binomial Coefficients and Application in Computational Science and Engineering

     Article • May 2022, Open Engineering Inc

     Dr. Chinnaraji Annamalai

364. 
     Computation of Sum of Optimized Binomial Coefficients and Application in Computational Science and Engineering

     Article • May 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

365. 
     Application of Factorial and Binomial identities in Communication and Cybersecurity

     Article • May 2022, Springer Science + Business Media

     Dr. Chinnaraji Annamalai

366. 
     Application of Factorial and Binomial identities in Cybersecurity and Communications

     Article • May 2022, Springer Science + Business Media

     Dr. Chinnaraji Annamalai

367. 
     Computation of Binomial Expansions and Application in Science and Engineering

     Article • May 2022, Open Engineering Inc

     Dr. Chinnaraji Annamalai

368. 
     Application of Factorial and Binomial identities in Computing and Cybersecurity

     Article • May 2022, Springer Science + Business Media

     Dr. Chinnaraji Annamalai

369. 
     Sum of Summations of Annamalai’s Binomial Expansions

     Article • May 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

370. 
     Application of Factorial and Binomial identities in Computing and Cybersecurity

     Article • May 2022, Springer Science + Business Media

     Dr. Chinnaraji Annamalai

371. 
     Relation between the Results of Binomial Expansions with Multiple of 2

     Article • May 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

372. 
     A Binomial Expansion equal to Multiple of 2 with Non-Negative Exponents

     Article • May 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

373. 
     Combinatorial Theorem for Multiple of Two with Exponents

     Article • May 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

374. 
     Application of Factorial and Binomial identities in Cybersecurity

     Article • May 2022, Open Engineering Inc

     Dr. Chinnaraji Annamalai

375. 
     Application of Factorial and Binomial identities in Cybersecurity

     Article • May 2022, Springer Science + Business Media

     Dr. Chinnaraji Annamalai

376. 
     Application of Annamalai’s Factorial and Binomial identities in Cybersecurity

     Article • May 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

377. 
     Differentiation and Integration of Annamalai’s Binomial Expansion

     Article • May 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

378. 
     Theorems based on Annamalai’s Binomial Coefficient and Identity

     Article • May 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

379. 
     Ascending and Descending Orders of Annamalai’s Binomial Coefficient

     Article • May 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

380. 
     Binomial Distribution with Optimized Combination of Combinatorics

     Article • May 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

381. 
     Intuitionistic fuzzy sets: new approach and applications

     Article • May 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

382. 
     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

383. 
     A Model of Iterative Computations for Recursive Summability

     Article • May 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

384. 
     Applications of exponential decay and geometric series in effective medicine dosage

     Article • May 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

385. 
     Computational modelling for the formation of geometric series using Annamalai computing method

     Article • May 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

386. 
     Novel Computing Technique in Combinatorics

     Article • May 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

387. 
     Optimized Computing Technique for Combination in Combinatorics

     Article • May 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

388. 
     Analysis and  Computation of Extended Geometric Series and Summability            

     Article • April 2022, Wiley

     Dr. Chinnaraji Annamalai

389. 
     Analysis and Computation of Extended Geometric Series and Summability

     Article • April 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

390. 
     Annamalai’s  Binomial Identity and Theorem            

     Article • April 2022, Wiley

     Dr. Chinnaraji Annamalai

391. 
     Annamalai’s  Binomial Identity and Theorem            

     Article • April 2022, Wiley

     Dr. Chinnaraji Annamalai

392. 
     Annamalai’s Binomial Identity and Theorem

     Article • April 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

393. 
     Computation of multiple binomial Series based on geometric series

     Article • April 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

394. 
     Computation of  multiple binomial Series based on geometric series        

     Article • April 2022, Wiley

     Dr. Chinnaraji Annamalai

395. 
     Sum of Geometric Series with Negative Exponents

     Article • April 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

396. 
     Sum of Geometric  Series with Negative Exponents             

     Article • April 2022, Wiley

     Dr. Chinnaraji Annamalai

397. 
     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

398. 
     Comparison between Optimized and Traditional Combinations of Combinatorics

     Article • April 2022, Wiley

     Dr. Chinnaraji Annamalai

399. 
     Multiple summations  of a geometric series and its binomial series                 

     Article • April 2022, Wiley

     Dr. Chinnaraji Annamalai

400. 
     Summations of Single Terms and Successive Terms of Geometric Series

     Article • April 2022, Wiley

     Dr. Chinnaraji Annamalai

401. 
     Summations of Single Terms and Successive Terms of Geometric Series

     Article • April 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

402. 
     Multiple summations of a geometric series and its binomial series

     Article • April 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

403. 
     Comparison between Optimized and Traditional Combinations of Combinatorics

     Article • April 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

404. 
     Comparison between Optimized and traditional Combinations of Combinatorics

     Article • April 2022, Wiley

     Dr. Chinnaraji Annamalai

405. 
     Novel Binomial Series and its Summations

     Article • April 2022, Wiley

     Dr. Chinnaraji Annamalai

406. 
     Novel Binomial Series and its Summations

     Article • April 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

407. 
     Novel Binomial Series and its Summations

     Article • April 2022, Wiley

     Dr. Chinnaraji Annamalai

408. 
     Combinatorial Relation of Optimized Combination with Permutation

     Article • March 2022, Center for Open Science

     Dr. Chinnaraji Annamalai

409. 
     Combinatorial Relation of Optimized Combination with Permutation Combinatorial Relation of Optimized Combination with Permutation

     Article • March 2022, Wiley

     Dr. Chinnaraji Annamalai

410. 
     A Binomial Expansion Equal to Multiple of 2 with Non-Negative Exponents

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

411. 
     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

412. 
     A Theorem on Binomial Series

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

413. 
     A Theorem on Successive Partitions of Binomial Coefficient

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

414. 
     A Theorem on the Annamalai’s Binomial Identities

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

415. 
     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

416. 
     Abelian Group on the Binomial Coefficients of Combinatorial Geometric Series

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

417. 
     Algorithmic Approach for Computation of Binomial Expansions

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

418. 
     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

419. 
     Analysis of the Relationship between Integers and Factorial Functions

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

420. 
     Annamalai's Binomial Identity and Theorem

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

421. 
     Annamalai’s Binomial Expansion

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

422. 
     Application of Factorial and Binomial identities inCybersecurity

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

423. 
     Ascending and Descending Orders of Annamalai’s Binomial Coefficient

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

424. 
     Binomial Coefficients and Identities in Combinatorial Geometric Series

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

425. 
     Binomial Coefficients in Combinatorial Geometric Series and its Combinatorial Identities

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

426. 
     Binomial Theorem on the Coefficients for Combinatorial Geometric Series

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

427. 
     Combinatorial Relation of Optimized Combination with Permutation

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

428. 
     Combinatorial Theorems in Factorials with Multinomial Computation

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

429. 
     Comparison between Optimized and Traditional Combinations of Combinatorics

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

430. 
     Computation Method for Combinatorial Geometric Series and its Applications

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

431. 
     Computation and Analysis of Combinatorial Geometric Series and Binomial Series

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

432. 
     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

433. 
     Computation for the Summation of Integers and Geometric Progression of Powers of Two

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

434. 
     Computation of Derivative of Geometric Series without Differentiation

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

435. 
     Computation of Factorial and Multinomial Theorems for Machine Leaning and Cybersecurity

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

436. 
     Computation of Geometric Series with Negative Exponents

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

437. 
     Computing Method for Combinatorial Geometric Series and Binomial Expansion

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

438. 
     Construction of Novel Binomial Expansion

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

439. 
     Differential Calculus for the Summation of Geometric Series with Binomial Expansions

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

440. 
     Differentiation and Integration of Annamalai’s Binomial Expansion

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

441. 
     Extension of Binomial Series with Optimized Binomial Coefficient

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

442. 
     Factorial of Sum of Nonnegative Integers for Computing and Algorithms

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

443. 
     Factorials, Integers and Mathematical and Binomial Techniques for Machine Learning and Cybersecurity

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

444. 
     Factorials, Integers and Multinomial Coefficients and its Computing Techniques for Machine Learning and Cybersecurity

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

445. 
     Factorials, Integers, Binomial Coefficient and Factorial Theorem

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

446. 
     Factorials, Integers, and Factorial Theorems for Computing and Cryptography

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

447. 
     Lemma on Combinatorial Geometric Series with Binomial Coefficients

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

448. 
     Multinomial Theorem on the Binomial Coefficients for Combinatorial Geometric Series

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

449. 
     Multinomial-based Factorial Theorem on the Binomial Coefficients for Combinatorial Geometric Series

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

450. 
     Multiple Summations of a Geometric Series and Its Binomial Series

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

451. 
     New Idea to Compute the Geometric Series and its Derivative

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

452. 
     Novel Binomial Series and its Summations

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

453. 
     Novel Multinomial Expansion and Theorem

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

454. 
     Partition of Multinomial Coefficient

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

455. 
     Successive Partition Method for Binomial Coefficient in Combinatorial Geometric Series

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

456. 
     Sum of Geometric Series with Negative Exponents

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

457. 
     Sum of Summations of Annamalai’s Binomial Expansions

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

458. 
     Sum of the Summation of Binomial Expansions with Optimized Binomial Coefficient

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

459. 
     Summation of Series of Binomial Coefficients

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

460. 
     Summations of Single Terms and Successive Terms of Geometric Series

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

461. 
     Theorems based on Annamalai’s Binomial Coefficient and Identity

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

462. 
     Theorems on the Binomial Coefficients for Combinatorial Geometric Series

     Article • SSRN Electronic Journal, January 2022, Elsevier

     Dr. Chinnaraji Annamalai

463. 
     Construction and Analysis of Binomial Coefficients

     Article • January 2022, Elsevier

     Dr. Chinnaraji Annamalai

464. 
     Factorial of Sum of Two Nonnegative Integers Is Equal to Multiple of the Product of Factorial of the Two Nonnegative Integers

     Article • January 2022, Elsevier

     Dr. Chinnaraji Annamalai

465. 
     Real and Complex Numbers of Binomial Coefficients in Combinatorial Geometric Series

     Article • January 2022, Elsevier

     Dr. Chinnaraji Annamalai

466. 
     Sum of Successive Partitions of Binomial Coefficient

     Article • January 2022, Elsevier

     Dr. Chinnaraji Annamalai

467. 
     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

468. 
     Extension of ACM for Computing the Geometric Progression

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

     Dr. Chinnaraji Annamalai

469. 
     Computation of Series of Series Using Annamalai’s Computing Model

     Article • SSRN Electronic Journal, January 2019, Elsevier

     Dr. Chinnaraji Annamalai

470. 
     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

471. 
     Algorithmic Computation of Annamalai’s Geometric Series and Summability

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

     Dr. Chinnaraji Annamalai

472. 
     Analysis and Modelling of Annamalai Computing Geometric Series and Summability

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

     Dr. Chinnaraji Annamalai

473. 
     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