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            • Formula Syntax
              Application Version 1.66
              • Version 1.66, 10/25/2025
                • Added: AI → Neural Network → Activation Functions
                • Added: Mail
                • Added: Mail added to Messenger and error logging
                • Enhanced: MachineLearning → Clustering → Fuzzy C-Means → Manual Entry GUI
                • Enhanced: MachineLearning → Clustering → K Means → Manual Entry GUI
              • Version 1.65, 8/25/2025
                • Added: Mathematics → Statistics & Probability → Student's ð�’• Distribution
                • Added: Integral : Recurent Integration I=f(x)+n*I
              • Version 1.64, 8/3/2025
                • Added: Mathematics → Statistics & Probability → Cross-entropy Cost
              • Version 1.63, 6/19/2025
                • Enhanced: Finance → Options → Digital Option
              • Version 1.62, 6/16/2025
                • Enhanced: Machine Learning → Optimization → Gradient Descent
              • Version 1.61, 6/14/2025
                • Enhanced: Finance → Options → Equity Option
                • Fix : Send Note Message
              • Version 1.60, 6/6/2025
                • Enhanced: Finance → Market Analysis → Security Trends
              • Version 1.59, 5/16/2025
                • Enhanced: Finance → Market Analysis → Security Trends
                • Modified: Atlas → Calculation Log : Chart and statistics
              • Version 1.58, 4/5/2025
                • Enhanced: Finance → Market Analysis → Security Trends
              • Version 1.57, 3/14/2025
                • Added: Mathematics → Geometry → Spherical Trigonometry
              • Version 1.56, 2/18/2025
                • Added: Machine Learning → Kernels
                • Added: AI → Neural Network → Kernels
                • Added: Machine Learning/AI → Kernels → RBF Kernel
              • Version 1.55, 1/24/2025
                • Added: Main Application
                • Added: Atlas → Process
              • Version 1.54, 1/8/2025
                • Added: AI → Neural Network
                • Added: AI → Neural Network → Pooling
                • Added: See Also Utility
                • Added: Atlas → Calculation Log : Chart and statistics
              • Version 1.53, 12/19/2024
                • Added: Matehmatics → Calculus → Jacobian
                • Added: Matehmatics → Special Functions
                • Added: Matehmatics → Special Functions → Gamma Function
                • Added: Matehmatics → Special Functions → Beta Function
                • Added: Mathematics → Geometry → Non-Euclidean Geometry → Poencare half-plane
                • Added: Finance → Market Analysis
                • Added: Finance → Market Analysis → Security Trends
                • Enhanced: Complex Numbers
                • Linked: Softmax to Matehmatics → Special Functions
                • Linked: Error Function to Matehmatics → Special Functions
              • Version 1.52, 11/1/2024
                • Added: Tests → Mathematics → Algebra → Matrices → Determinant
                • Modified: TodDo/Exception Log switched to Database
                • Fix: ZeroCoupon Bond: Synchronized Maturity date
                • Fix: SoftMax: Error message on empty data
              • Version 1.51, 10/12/2024
                • Added: Tests → Mathematics → Calculus → Derivative
                • Enhanced: Formula simplification
              • Version 1.50, 9/21/2024
                • Added: Matehmatics → Calculus → Definite Integral
                • Added: Tests
                • Added: Tests → Mathematics → Algebra → System of Linear Equations
              • Version 1.49, 8/29/2024
                • Added: Integral : Rational Polynomial functions: P1(x)/P2(x)
              • Version 1.48, 8/8/2024
                • Added: Help → Search
                • Added: Integral : Rational Polynomial functions: P(x)/(ax+b)
                • Fix: Complex Numbers
              • Version 1.47, 5/20/2024
                • Added: HTTPS service
                • Added: Mathematics → Statistics & Probability → Softmax & LogSumExp
                • Added: Mathematics → Statistics & Probability → Covariance Matrix
                • Added: Computer Science → Encoding → QR Code
                • Modified: GUI unified: Note Message
                • Modified: GUI unified: Vectors
              • Version 1.46, 4/14/2024
                • Added: Get Resource service and map
                • Added: Atlas → Reload Get Request Map
              • Version 1.45, 4/8/2024
                • Modified: Enhancements and bug fixes: Matrix calculators, Big Number
              • Version 1.44, 3/23/2024
                • Added: Mathematics → Statistics & Probability → Q-Q Plot
                • Added: Mathematics → Matrices → Left & Right Inverse
                • Added: Mathematics → Matrices → QR Decomp.
                • Added: Matehmatics → Calculus → Slope Field
                • Modified: Mathematics → Matrices → Inverse
              • Version 1.43, 3/7/2024
                • Added: Mathematics → Calculus → Function Analysis
                • Added: Differential Equation : Homogeneous equations
                • Modified: Atlas → Deploy
              • Version 1.42, 2/17/2024
                • Added: Mathematics → Matrices → LU Decomposition
                • Added: Mathematics → Calculus → Differential Equations
              • Version 1.41, 1/21/2024
                • Added: Mathematics → Matrices → Singular Value Decomp.
                • Added: Methematics → Analytic Geometry → 2D Rotation
                • Added: Methematics → Analytic Geometry → 3D Rotation
                • Added: Mathematics → Algebra → Complex Number
              • Version 1.40, 10/10/2023
                • Added: Methematics → Analytic Geometry → Polygon
                • Added: Methematics → Analytic Geometry → Polygon → Generating Random Convex Polygon
                • Modified: Unified GUI : Matrix Multiplication
                • Modified: Unified GUI : Determinant
                • Modified: Unified GUI : Row Echelon Form & Rank
                • Fix : Vector Space: Row, Column & Null Space
                • Fix : SAP-1
              • Version 1.39, 8/24/2023
                • Added: Integral : Substitution rule
                • Added: Integral : Integration by parts rule
                • Added: Integral : ln function
                • Added: Computer Science → Encoding → Cryptography → DES
                • Added: Server : OPTIONS request processing
                • Enhanced: Server handling of POST data stream
              • Version 1.38, 6/12/2023
                • Added: Mathematics → Analytic Geometry → Distance of a Point
                • Added: Computer Science → Encoding → Cryptography → Simple Cryptosystems
                • Bug fixes
              • Version 1.37, 5/21/2023
                • Added: Computer Science → Computer→ Turing Machine
                • Added: Welcome page
                • Added: Integral : tan^2 and cot^2 functions
                • Added: Physics → Units & Constants
                • Added: Physics → Units & Constants → Units Conversion
              • Version 1.36, 3/20/2023
                • Added: Physics → Mechanics → Circular Motion calculator
                • Code enhancments
              • Version 1.35, 3/06/2023
                • Added: MachineLearning → Clustering → Support Vector Machine → Manual Entry calculator
                • Added: MachineLearning → Clustering → Support Vector Machine → File Upload calculator
                • Added: MachineLearning → Clustering → Fuzzy C-Means → Manual Entry calculator
                • Added: MachineLearning → Clustering → Fuzzy C-Means → File Upload calculator
                • Enhanced: MachineLearning → Clustering → K Means → Manual Entry GUI
                • Enhanced: Computer Science → Languages → Prolog
              • Version 1.34, 11/30/2022
                • Added: Computer Science → Languages
                • Added: Computer Science → Languages → Prolog emulator
              • Version 1.33, 7/27/2022
                • Modified: Mathematics → Calculus → 1st Order Ordinary Differential Equation := Numerical Solution of Differential Equations
                • Added: Mathematics → Calculus → Numerical Solution of Differential Equations → System of Differential Equations
                • Added: Mathematics → Geometry
                • Added: Mathematics → Geometry→ Triangle
                • Added: Atlas → Sitemap
                • Enhanced: Integral : Exponential functions: a^x
              • Version 1.32, 7/27/2022
                • Added: Mathematics → Statistics & Probability → Normal Distribution
                • Added: Mathematics → Calculus → Error Function → Inverse
                • Added: Help → Index
                • Added: robots.txt, sitemap.txt
              • Version 1.31, 7/10/2022
                • Added: Mathematics → Calculus → Error Function
                • Fix: Encoding → Floating Point → Fixed Point
                • Enhanced: Computer Science → Computer→ SAP-2
                • Enhanced: Computer Science → Computer→ SAP-1 : GUI
              • Version 1.30, 6/29/2022
                • Added: Mathematics → Matrices → Characteristic Polynomial calculator
                • Added: Mathematics → Matrices → Eigenvalues & Eigenvectors calculator
                • Added: Mathematics → Algebra → Polynomial Roots calculator
              • Version 1.29, 5/31/2022
                • Fix: Derivative: GUI
                • Added: Integral : tan and cot functions
                • Added: Mathematics → Vector Space → Row, Column & Null Space
                • Enhanced: Formula Syntax Help
                • Enhanced: Mathematics → Vector Space → Orhonormal Base
                • Enhanced: Mathematics → Matrices → Row Echelon Form & Rank calculator
              • Version 1.28, 5/23/2022
                • Fix: Derivative: a^f(x)
                • Added: Integral : Exponential functions: a^x
                • Added: Mathematics → Calculus → Directional Derivative
              • Version 1.27, 4/23/2022
                • Added: Mathetaics → Vector Space
                • Added: Mathetaics → Vector Space → Orhonormal Base
                • Added: Integral : Trigonometric functions sin and cos
                • Modified: Angle and Projection calculator: Added projection v2 onto v1, enhanced JS
              • Version 1.26, 4/17/2022
                • Added: Mathematics → Calculus → Indefinite Integral
                • Added: Integral : Rational functions
                • Added: Note Message : Indefinite Integral
                • Enhanced: Formula simplification
              • Version 1.25, 3/2/2022
                • Enhanced: Formula simplification
              • Version 1.24, 2/17/2022
                • Added: Mathematics → Statistics & Probability → Regression - Linear function - Manual Entry calculator
                • Linked: Machine Learning → Regression → Linear Regression to Mathematics → Statistics & Probability → Regression
              • Version 1.23, 2/6/2022
                • Added: Mathematics → Statistics & Probability
                • Added: Mathematics → Statistics & Probability → Statistics - Manual Entry calculator
                • Enhanced: Formula simplification
                • Enhanced: Formula representation
              • Version 1.22, 1/9/2022
                • Added: Mathematics → Logic
                • Added: Mathematics → Logic → Truth Tables calculator
                • Added: Mathematics → Logic → Minimal Sum of Products calculator
                • Added: Computer Science → Encoding → Unicodes table
                • Added: Computer Science → Computer→ Intel 8086/8088
                • Enhanced: Computer Science → Encoding → Character Encoding
              • Version 1.21, 12/11/2021
                • Added: Computer Science → Computer→ SAP-2 emulator
                • Added: Computer Science → Encoding → Character Encoding calculator
                • Added: Computer Science → Encoding → Integer Encodoing calculator
                • Added: Computer Science → Encoding → Decimal Number Encoding calculator
                • Added: Atlas → Users
                • Added: Atlas → Network Status
              • Version 1.20, 11/23/2021
                • Added: Computer Science
                • Added: Computer Science → Encoding
                • Added: Computer Science → Encoding → ASCII Table
                • Added: Computer Science → Computer
                • Added: Computer Science → Computer→ SAP-1 emulator
                • Added: Electronics → Circuits → Resistor → Ohm's Law calculator
                • Enhanced: Formula simplification
              • Version 1.19, 10/30/2021
                • Added: Finance → Fixed Income → Zero Coupon Bond calculator
                • Added: Calculation Log
                • Enhanced: Formula simplification
              • Version 1.18, 10/8/2021
                • Added: MachineLearning → Clustering → COBWEB → Manual Entry calculator
                • Added: MachineLearning → Clustering → COBWEB → CVS File Upload calculator
                • Added: MachineLearning → Clustering → COBWEB → JSON File Upload calculator
              • Version 1.17, 8/26/2021
                • Added: Mathematics → Calculus → 1st Order Ordinary Differential Equation → File Upload calculator
                • Modified: Moved Root to Calculator
                • Modified: Moved Log Report to Atlas
                • Enhanced: User Authentication and handling
              • Version 1.16, 8/1/2021
                • Modified: Moved Attacker to MCDB
                • Added: Mathematics → Calculus → 1st Order Ordinary Differential Equation → Manual Entry calculator
                • Added: Atlas → Attacker monitor and editor
                • Added: User - Preferred User, Multi User
              • Version 1.15, 6/22/2021
                • Modified: Atlas → Login
                • Added: Mathematics → Matrices → Multiplication → Manual Entry calculator
                • Added: Mathematics → Matrices → Multiplication → File Upload calculator
                • Added: Mathematics → Matrices → Row Echelon Form & Rank calculator
                • Added: Mathematics → Algebra → System of Linear Equations → Manual Entry calculator
                • Added: Mathematics → Algebra → System of Linear Equations → File Upload calculator
              • Version 1.14, 6/9/2021
                • Added: Mathematics → Matrices
                • Added: Mathematics → Matrices → Determinant → Manual Entry calculator
                • Added: Mathematics → Matrices → Determinant → File Upload calculator
                • Added: Mathematics → Matrices → Inverse → Manual Entry calculator
                • Added: Mathematics → Matrices → Inverse → File Upload calculator
                • Added: Mathematics → Algebra → Factorization calculator: GCD
                • Added: Mathematics → Algebra → Factorization calculator: LCM
                • Added: Mathematics → Algebra → Factorization calculator: Number Factorization
              • Version 1.13, 5/30/2021
                • Added: Mathematics → Algebra
                • Added: Mathematics → Algebra → Quadratic Equation calculator
                • Added: Mathematics → Algebra → Cubic Equation calculator
              • Version 1.12, 5/21/2021
                • Added: MachineLearning → Optimization → Gradient Descent calculator
                • Modified: Switched from MySQL to MC_DB for user control
              • Version 1.11, 4/25/2021
                • Created admin tool Atlas
                • Added: Atlas → Messages
                • Added: Login → Register
                • Added: Kinematics Calculator: Ballistic Projectile Motion
                • Improved Server performance: Resource cashing
              • Version 1.10, 4/17/2021
                • Added: Kinematics Calculator: Acceleration Distance
                • Added: Mathematics → Calculus → Derivatives
                • Added: Whois to the Log IP
              • Version 1.9, 3/21/2021
                • Added: Help → Contact us
                • Added: Finance → Fixed Income
                • Added: Finance → Fixed Income → Fixed Rate Bond calculator
                • Added: Finance → Fixed Income → Day Count
                • Added: Kinematics Calculator: Average Acceleration
                • Enhanced: Attack Monitor
              • Version 1.8, 2/16/2021
                • Added: Physics → Mechanics → Kinematics
                • Added: Kinematics Calculator: Average Velocity
              • Version 1.7, 2/12/2021
                • Added: Help → Version History
                • Added: Password change
                • Added: Finance → Options → Digital Option calculator
                • Modified: Login page, added Profile modification
              • Version 1.6, 1/29/2021
                • Added: Login menu and page
                • Created authentication mechanism
              • Version 1.5, 1/20/2021
                • Added: Finance → Options → Equity Option calculator
              • Version 1.4, 1/15/2021
                • Added: MachineLearning → Clustering → K Means → Manual Entry calculator
                • Added: Attackers monitoring and handling
              • Version 1.3, 1/9/2021
                • Added: MachineLearning → Clustering → K Means → File Upload calculator
              • Version 1.2, 12/28/2020
                • Added: Mathematics → Vectors → Product calculator
                • Added: Mathematics → Vectors → Angle and Projection calculator
              • Version 1.1, 12/15/2020
                • Created: Calculator page with basic menu containing Mathematics, Physics, Electronics, Machine Learning, AI and Finance
              • Version 1.0, 12/10/2020
                • Server created