General Problem Fundamental Sciences System
by
© Ph. D. & Dr. Sc. Lev Gelimson
General Problem Fundamental Sciences System (Essential)
Fundamental Science on General Problem Essence
General Problem Theory
(Essential)
General
Problem Type and Setting Theory
Fundamental Science of General Problem Pseudosolution
General Problem Pseudosolution
Theory
Fundamental Science on General Problem Solving Strategy
General Problem Solving Strategy Theory
Fundamental Science of General Problem Transformation
General Problem Transformation Theory
Physical Unit Removal Theory
Distance Transformation Theory
Fundamental Science of General Problem
Analysis
General Problem Analysis Theory
Fundamental Science of General Problem
Synthesis
General Problem Synthesis Theory
Fundamental Science of General Problem Testing
Fundamental Science of General Problem Es
timation
General Subproblem Estimation Theory
General Problem Estimation Theory
Fundamental Science on General Problem Iteration
Single-Source Iteration Theory
Multiple-Sources Iteration Theory
Fundamental Science on General Problem Bisectors
Adjacent Sides Bisectors Theory
Adjacent Corners Bisectors Theory
Adjacent Sides and Corners Bisectors Theories in
Universal Problem Solving Science
Opposite Sides Bisectors Theory
Opposite Corners Bisectors Theory
Opposite Sides and Corners Bisectors Theories in
Universal Problem Solving Science
Equidistance Theory
Equidistance and Subjoining Equations Theories in
Universal Problem Solving Science
Subjoining Equations Theory
Biquadrat Theory
Power Theories
Fundamental Science on General Problem
Distance
Distance Quadrat Theory
Distance Biquadrat Theory
Distance Power Theories
Fundamental Science on General Problem
Reserve
Distance and Unierror Power Theories in Universal Problem
Solving Science
Unierror Quadrat Theories
Unierror Biquadrat Theories
Fundamental Science on General Problem
Approximation
Correction
and Generalization of the Least Square Method
General Problem Theory Fundamentals
(Correction and Generalization of the Absolute and Relative Errors and the Least
Square Method)
Fundamental
Methods of Solving General Problems via Unierrors (former Autoerrors,
Hypererrors), Reserves, Reliabilities, and Risks (former General Estimation
and Approximation Theory: Methods of the Least Normed Powers, Autoerror and
Reserve Equalization Methods, and Direct-Solution Method)
Additional Special Monographs and Articles
Synergistic System of Fundamental Analytic Methods
Linear
Combination Method in Three-Dimensional Elasticity
Generalized Methods
for Solving Functional Equations and Their Sets
Methods of
Least Normalized Powers and Equalizing Errors for Solving Functional
Equations
Providing Helicopter Fatigue Strength: Flight
Conditions [Overmathematics and Other Fundamental Mathematical Sciences]
Fundamental Sciences of Solving General Problems
Quintessence
Main Monographs
Necessity and Usefulness of Fundamental Science of Solving General Problems, or Principal Shortcomings and Domains (Ranges) of Applicability and Adequacy of Known
Objects (Numbers, Sets, and Systems), At Most Countable Operations, Relations, Quantities (Cardinality, Measures), Estimations (Absolute Error, Relative Error, Mean Square Error, Probability), Problem Concepts (Solution, Particular Solution, Quasisolution, Their Sets), and Methods of Solving Problems (Method of Particular Solutions, Least Square Method, Finite Element Method, Finite Point Method, Artificial Randomization Methods)
General Problem Object Theory: Uninumbers incl. Numbers, Quantisets incl. Sets, and Quantisystems incl. Systems
General Problem Operation Theory: Known Operations with Uninumbers, Quantisets, and Quantisystems, as well as Quantifying, Quantity Definition and Determination, also Uncountable Quantioperations (with Quantities)
General Problem Relation Theory: Known Relations with Uninumbers, Quantisets, and Quantisystems, as well as Quantirelations (with Quantities)
General Problem Uniquantity Theory
General Problem Estimation Theory: Deviation, Distance, Mean Power Errors, Unierrors, Reserves, Uninumber Probabilities, Reliabilities, and Risks
General Problem Form Theory: Quantisystem of Quantirelations; Pseudosolutions, Solutions, Quasisolutions, Antisolutions, Their Quantisets
General Problem Coordinate System Theory: Homogeneous and Nonhomogeneous Coordinate Systems
General Problem Invariance Theory: No Invariance (Fixed Origin), Linear Translation Invariance, Parallel Translation Invariance, Fixed-Center Rotation Invariance, Rotation Invariance, Proportional Transformation Invariance
General Problem Symmetry Theory: Central Symmetry, Axial Rotational Symmetry, Axial Mirror Symmetry in a Plane, Planar Mirror Symmetry in a Space
Fundamental Theory and Methods of General Linear Combinations
Fundamental Theory and Methods of Exhaustive Solutions
Fundamental Theory and Methods of General Problem Restructuring
Fundamental Theory and Methods of Partitioning General Problems
Fundamental Theory and Methods of Iteration Acceleration
Fundamental Theory and Methods of Error Minimization
Fundamental Theory and Methods of Reserve Maximization
Fundamental Theory and Methods of Error Equalization
Fundamental Theory and Methods of Reserve Equalization
Fundamental Theory and Methods of Power Increase
Fundamental Theory and Methods of Direct Solution
Fundamental Theory and Methods of Directed Numeric Tests
Applications of Fundamental Science of Solving General Problems