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1. Physics

1.1. Principle of least action

1.1.1. Noether's Theorem Energy conservation Impulse conservation

1.2. Space-time

1.2.1. general relativity gravity

1.2.2. special relativity

1.3. Unpredictability

1.3.1. Quantum Chaos

1.3.2. Classical Chaos

1.4. Quntum Mechanics

1.4.1. Schrodinger equation Wave function properties Measurement and Statistical interpretation Combining Probability Amplitudes Nonrelativistic Schrodinger equation Solutions quantum field theory string theory strong forces (chromodynamics) electroweak forces graviton

1.4.2. Probabilistic nature of reality

1.5. electricity and magnetism

1.5.1. optics

1.5.2. Electromagnetic Radiation Interference Refraction Electrical oscillators Polarization Radiation Damping. Light Scattering Relativistic Effects in Radiation

1.5.3. Static Fields Dielectrics Magnetostatics The Vector Potential

1.5.4. Dynamic Fields Induction Solutions Relativistic Notation Applications AC Circuits Cavity Resonators Waveguides Particle in a Field Energy of field Mass of Field

1.6. Cosmology

1.6.1. Geology Earth Mars

1.6.2. black holes

1.6.3. attractors

1.6.4. universe scenarios

1.6.5. general relativity theory and gravity

2. Mathematics

2.1. Logic

2.1.1. Predicate Logic

2.1.2. Set Theory

2.1.3. Computability

2.1.4. Gödel's incompleteness theorems

2.1.5. Model Theory

2.1.6. Nonstandard analysis

2.2. Algebra

2.2.1. Number Theory Primes Minkowski Theorem Irrational Numbers

2.2.2. Elementary Algebra

2.2.3. Abstract Algebra Algebraic structures Linear Algebra Polynomial Algebra Group Theory Vector Spaces Linear Operators Affine and Projective Spaces Tensor algebra Commutative Algebra Groups Representation theory Lie Groups

2.3. Geometry

2.3.1. Graph Theory

2.3.2. Euclidean Geometry

2.3.3. Analytic Geometry

2.3.4. Differential geometry

2.3.5. Topology

2.4. Integral and Differential Calculus

2.4.1. Functions and Sets

2.4.2. Real numbers

2.4.3. Limits

2.4.4. Continous funcitons

2.4.5. Differential Calculus on functions Oscillators on tensors

2.4.6. Integral Calculus on function on tensors

2.5. Differential Equations

2.5.1. Ordinary

2.5.2. Partial

2.6. Probability and Statistics

2.6.1. Statistics Frequentist inference Regression model Bayesian inference Regression model Bayes Networks Bayesian Inference in Python

2.6.2. Probability theory

3. Biology

3.1. organisms

3.1.1. fungi

3.1.2. plants

3.1.3. insects ants

3.1.4. Animals Dolphin birds Chimpanzee Human Children Adult

3.1.5. General Laws Evolution факты Phylogenetic tree

3.2. virus

3.3. bacteria

4. Sociology

4.1. human

4.1.1. General Laws conformism Obedience

4.1.2. companies startup corporation microeconomics

4.1.3. national economic types central planning market political types democracy social wars countries Russia Germany Britain USA China

4.1.4. international movements leasures philosophy crowdsourcing crowdfunding science religion environmental impact Possible future scenarios singularity global projects in progress

5. Chemistry

5.1. organic

5.2. inorganic

5.2.1. liquids

5.2.2. gases Kinetic theory Statistical mechanics Brownian motion Diffusion Laws of termodynamics Sound waves

5.2.3. solids Newtonian Laws Harmonic motion Rotation Friction Strength of materials

5.3. atom

5.3.1. Hydrogen

5.3.2. Helium

5.3.3. Oxygen