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diff --git a/domain.tex b/domain.tex new file mode 100644 index 0000000..0a98765 --- /dev/null +++ b/domain.tex @@ -0,0 +1,273 @@ + +\documentclass[11pt]{article} +\usepackage[utf8]{inputenc} +\usepackage{enumitem} +\usepackage{hyperref} + +\setlist[itemize]{leftmargin=2em} + +\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} |
