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1. Physics

1.1. Principle of least action

1.1.1. Noether's Theorem

1.1.1.1. Energy conservation

1.1.1.2. Impulse conservation

1.2. Space-time

1.2.1. general relativity

1.2.1.1. 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

1.4.1.1. Wave function properties

1.4.1.1.1. Measurement and Statistical interpretation

1.4.1.1.2. Combining Probability Amplitudes

1.4.1.2. Nonrelativistic Schrodinger equation

1.4.1.2.1. Solutions

1.4.1.3. quantum field theory

1.4.1.3.1. string theory

1.4.1.3.2. strong forces (chromodynamics)

1.4.1.3.3. electroweak forces

1.4.1.3.4. graviton

1.4.2. Probabilistic nature of reality

1.5. electricity and magnetism

1.5.1. optics

1.5.2. Electromagnetic Radiation

1.5.2.1. Interference

1.5.2.2. Refraction

1.5.2.3. Electrical oscillators

1.5.2.4. Polarization

1.5.2.5. Radiation Damping. Light Scattering

1.5.2.6. Relativistic Effects in Radiation

1.5.3. Static Fields

1.5.3.1. Dielectrics

1.5.3.2. Magnetostatics

1.5.3.3. The Vector Potential

1.5.4. Dynamic Fields

1.5.4.1. Induction

1.5.4.2. Solutions

1.5.4.3. Relativistic Notation

1.5.4.4. Applications

1.5.4.4.1. AC Circuits

1.5.4.4.2. Cavity Resonators

1.5.4.4.3. Waveguides

1.5.4.4.4. Particle in a Field

1.5.4.5. Energy of field

1.5.4.6. Mass of Field

1.6. Cosmology

1.6.1. Geology

1.6.1.1. Earth

1.6.1.2. 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

2.2.1.1. Primes

2.2.1.2. Minkowski Theorem

2.2.1.3. Irrational Numbers

2.2.2. Elementary Algebra

2.2.3. Abstract Algebra

2.2.3.1. Algebraic structures

2.2.3.2. Linear Algebra

2.2.3.3. Polynomial Algebra

2.2.3.4. Group Theory

2.2.3.5. Vector Spaces

2.2.3.6. Linear Operators

2.2.3.7. Affine and Projective Spaces

2.2.3.8. Tensor algebra

2.2.3.9. Commutative Algebra

2.2.3.10. Groups

2.2.3.11. Representation theory

2.2.3.12. 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

2.4.5.1. on functions

2.4.5.1.1. Oscillators

2.4.5.2. on tensors

2.4.6. Integral Calculus

2.4.6.1. on function

2.4.6.2. on tensors

2.5. Differential Equations

2.5.1. Ordinary

2.5.2. Partial

2.6. Probability and Statistics

2.6.1. Statistics

2.6.1.1. Frequentist inference

2.6.1.1.1. Regression model

2.6.1.2. Bayesian inference

2.6.1.2.1. Regression model

2.6.1.2.2. Bayes Networks

2.6.1.2.3. 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

3.1.3.1. ants

3.1.4. Animals

3.1.4.1. Dolphin

3.1.4.2. birds

3.1.4.3. Chimpanzee

3.1.4.4. Human

3.1.4.4.1. Children

3.1.4.4.2. Adult

3.1.5. General Laws

3.1.5.1. Evolution

3.1.5.1.1. факты

3.1.5.1.2. Phylogenetic tree

3.2. virus

3.3. bacteria

4. Sociology

4.1. human

4.1.1. General Laws

4.1.1.1. conformism

4.1.1.2. Obedience

4.1.2. companies

4.1.2.1. startup

4.1.2.2. corporation

4.1.2.3. microeconomics

4.1.3. national

4.1.3.1. economic types

4.1.3.1.1. central planning

4.1.3.1.2. market

4.1.3.2. political types

4.1.3.2.1. democracy

4.1.3.2.2. social

4.1.3.3. wars

4.1.3.4. countries

4.1.3.4.1. Russia

4.1.3.4.2. Germany

4.1.3.4.3. Britain

4.1.3.4.4. USA

4.1.3.4.5. China

4.1.4. international

4.1.4.1. movements

4.1.4.1.1. leasures

4.1.4.1.2. philosophy

4.1.4.1.3. crowdsourcing

4.1.4.1.4. crowdfunding

4.1.4.1.5. science

4.1.4.1.6. religion

4.1.4.2. environmental impact

4.1.4.3. Possible future scenarios

4.1.4.3.1. singularity

4.1.4.3.2. global projects in progress

5. Chemistry

5.1. organic

5.2. inorganic

5.2.1. liquids

5.2.2. gases

5.2.2.1. Kinetic theory

5.2.2.2. Statistical mechanics

5.2.2.3. Brownian motion

5.2.2.4. Diffusion

5.2.2.5. Laws of termodynamics

5.2.2.6. Sound waves

5.2.3. solids

5.2.3.1. Newtonian Laws

5.2.3.1.1. Harmonic motion

5.2.3.1.2. Rotation

5.2.3.1.3. Friction

5.2.3.2. Strength of materials

5.3. atom

5.3.1. Hydrogen

5.3.2. Helium

5.3.3. Oxygen