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\begin{document}

\section{Mathematics}

\subsection{Elementary Math}
System can perform arithmetic operations on underspecified values to determine parity, sign, or other qualities of an expression without knowing exact values.
\begin{itemize}
  \item Arithmetic
  \item Fractions
  \item Percentages
\end{itemize}

\subsection{Algebra}
Algebra studies variables within number systems and the operations acting on numbers and symbols.

\subsection{Geometry}
Geometry studies properties of figures and the underlying space.
\begin{itemize}
  \item Plane Geometry
  \item Solid Geometry
  \item Coordinate Geometry
  \item Geometric Transformations
  \item High-Dimensional Geometry
  \item Packing \& Covering Programs
  \item Curves \& Surfaces
  \item Polyforms
  \item Topology
  \item Tilings
\end{itemize}

\subsection{Plotting}
Plotting and graphing visualize the behavior of mathematical functions.
\begin{itemize}
  \item Functions
  \item Equations
  \item Parametric Plots
  \item Inequalities
  \item Number Lines
  \item Polar Plots
\end{itemize}

\subsection{Calculus}
Calculus studies rates of change and measures such as length, area, and volume.
\begin{itemize}
  \item Integrals
  \item Derivatives
  \item Limits
  \item Sequences
  \item Products
  \item Series Expansions
  \item Sums
  \item Vector Analysis
  \item Integral Transforms
  \item Applications of Calculus
  \item Continuity
  \item Domain \& Range
\end{itemize}

\subsection{Differential Equations}
Equations involving functions and their derivatives, including ordinary (ODE) and partial (PDE) differential equations.

\subsection{Statistics}
Statistics involves collection, analysis, and exposition of data.
\begin{itemize}
  \item Descriptive Statistics
  \item Statistical Inference
  \item Regression Analysis
  \item Random Variables
\end{itemize}

\subsection{Functions}
A function is a relation between a set of inputs (domain) and possible outputs (codomain).
\begin{itemize}
  \item Domain \& Range
  \item Injectivity \& Surjectivity
  \item Continuity
  \item Periodic Functions
  \item Odd \& Even Functions
  \item Special Functions
  \item Number-Theoretic Functions
  \item Representation Formulas
\end{itemize}

\section{Science \& Technology}

\subsection{Physics}
Physics studies features of the universe, from natural to manmade phenomena.
\begin{itemize}
  \item Mechanics
  \item Oscillations \& Waves
  \item Statistical Physics
  \item Thermodynamics
  \item Electricity \& Magnetism
  \item Optics
  \item Relativity
  \item Nuclear Physics
  \item Quantum Physics
  \item Particle Physics
  \item Astrophysics
  \item Physical Constants
  \item Physical Principles
  \item Physical Effects
  \item Fluid Mechanics
\end{itemize}

\subsection{Chemistry}
Study of matter from atoms and ions to biomolecules.

\subsection{Units \& Measures}
Conversion and analysis of standard scientific and everyday measurement systems.

\subsection{Engineering}
Engineering concerns design, construction, analysis, and maintenance of systems using scientific and mathematical principles.
\begin{itemize}
  \item Aerospace Engineering
  \item Energy Data
  \item Electrical Engineering
  \item Control Systems
  \item Mechanical Engineering
  \item Civil Engineering
  \item Fluid Mechanics
  \item Sound \& Acoustics
  \item Steam Tables
  \item Measurement Devices
\end{itemize}

\subsection{Computational Sciences}
Computational theory and algorithmic structures.
\begin{itemize}
  \item Cellular Automata
  \item Substitution Systems
  \item Turing Machines
  \item Computational Complexity
  \item Algebraic Codes
  \item Fractals
  \item Image Processing
  \item Hashing
\end{itemize}

\subsection{Earth Sciences}
Study of Earth and its atmosphere, including geology, geodesy, oceanography, and climatology.

\subsection{Life Sciences}
Study of living organisms from molecular to organismal levels.
\begin{itemize}
  \item Human Anatomy
  \item Animal Anatomy
  \item Neuroscience
  \item Genomics
  \item Molecular Biology
  \item Animals and Plants
\end{itemize}

\subsection{Space \& Astronomy}
Study of phenomena and technology beyond Earth's atmosphere.

\section{Society \& Culture}

\subsection{People}
Biographical and demographic analysis of notable individuals and public figures.

\subsection{Arts \& Media}
Exploration of music, films, comics, sculptures, paintings, and related media.

\subsection{History}
Generation of timelines, monetary value analysis, and comparison of historical events, inventions, and conflicts.
\begin{itemize}
\end{itemize}

\subsection{Words \& Linguistics}
Computational and structural analysis of language.
\begin{itemize}
  \item Word Properties
  \item Languages
  \item Document Length
  \item Notable Texts
  \item Transliterations
  \item Morse Code
  \item Soundex
  \item Character Encodings
  \item Emotions
\end{itemize}

\subsection{Money \& Finance}
Analysis of monetary trends and financial instruments.
\begin{itemize}
  \item Stock Data
  \item Mortgages \& Loans
  \item Salaries and Wages
  \item Bonds
  \item Derivative Valuation
  \item Income Tax
  \item Sales Tax
\end{itemize}

\subsection{Dates \& Times}
Scientific and historical information about dates, calendars, and time systems.

\subsection{Food \& Nutrition}
Nutritional data and dietary guidelines for foods.

\subsection{Demographic \& Social Statistics}
Statistical analysis of populations and societies.
\begin{itemize}
  \item Health Care Statistics
  \item Age \& Sex Demographics
  \item Gender Equality
  \item Business Statistics
  \item Citizenship Statistics
  \item Crime Statistics
  \item Education Statistics
  \item Income \& Employment
  \item Language Demographics
  \item Race \& National Origin
  \item Marriage Statistics
  \item Geographic Mobility
  \item Religion
  \item Military Data
  \item Human Development Index
\end{itemize}

\section{Everyday Life}

\subsection{Personal Health}
Nutritional data, exercise calculators, and growth tracking.
\begin{itemize}
  \item Physical Exercise
  \item Food and Nutrition
  \item Child Growth \& Development
\end{itemize}

\subsection{Personal Finance}
Financial computation and economic projections.
\begin{itemize}
  \item Mortgages \& Loans
  \item Stock Data
  \item Currency Conversion
  \item Cost of Living
  \item Gasoline Price
  \item Food Price
  \item Electricity Price
\end{itemize}

\subsection{Entertainment}
Data on music, films, artworks, and cultural productions.

\subsection{Household Science}
Applications of scientific reasoning to everyday environmental and physical phenomena.

\subsection{Household Math}

\subsection{Programming}

\subsection{Hobbies}
Algorithms and data for recreational activities and personal projects.

\subsection{Today's World}
Timely statistics on global and national conditions.
\begin{itemize}
  \item World Economy
  \item Finland Economy
  \item Weather
\end{itemize}

\end{document}
