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| author | Petri Hienonen <petri.hienonen@gmail.com> | 2026-02-15 16:34:55 +0200 |
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| committer | Petri Hienonen <petri.hienonen@gmail.com> | 2026-02-15 16:34:55 +0200 |
| commit | 92c1557579699cf26594c32991e880e7f89913f0 (patch) | |
| tree | c325691812f7663c19b3ef103b861893f4cf3512 | |
| parent | 0f27a15749bd047912f09469653a83238f86ea0a (diff) | |
| download | kb-92c1557579699cf26594c32991e880e7f89913f0.tar.zst | |
Add more categories
| -rw-r--r-- | domain.tex | 404 |
1 files changed, 278 insertions, 126 deletions
@@ -10,12 +10,40 @@ \section{Mathematics} +\subsection{Logic & Set Theory} +Symbolic logic and set theory are intertwined and lie at the foundations of mathematics. +\begin{itemize} + \item Boolean Algebra + \item Set Theory + \item Transfinite Numbers +\end{itemize} + +\subsection{Propability} +Probability is the quantification of the likelihood that an event or a set of events will occur. +\begin{itemize} + \item Games of Change + \item Bernollis Trials + \item Propability Formulas + \item Propability Distributions +\end{itemize} + +\subsection{Applied Mathematics} + +\begin{itemize} + \item Optimization + \item Numerical Analysis + \item Dynamic Systems + \item Fractals + \item Game Theory + \item Packing and Covering Objects +\end{itemize} + \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 + \item Arithmetic + \item Fractions + \item Percentages \end{itemize} \subsection{Algebra} @@ -24,44 +52,44 @@ Algebra studies variables within number systems and the operations acting on num \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 + \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 + \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 + \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} @@ -70,23 +98,23 @@ Equations involving functions and their derivatives, including ordinary (ODE) an \subsection{Statistics} Statistics involves collection, analysis, and exposition of data. \begin{itemize} - \item Descriptive Statistics - \item Statistical Inference - \item Regression Analysis - \item Random Variables + \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 + \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} @@ -94,111 +122,225 @@ A function is a relation between a set of inputs (domain) and possible outputs ( \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 + \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. +\begin{itemize} + \item Chemical Elements + \item Molecules + \item Chemical Ions + \item Chemical Quantities + \item Chemical Reactions + \item Chemical Thermodynamics + \item Chemical Solutions + \item Cheminformatics + \item Quantum Chemistry + \item Functional Groups + \item Bonds & Orbitals + \item Nuclear Chemistry +\end{itemize} + \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 + \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{Health & Medicine} +A healthy lifestyle, knowledge about one's body and access to health care and medicine are essential aspects of human life. From physical exercise to human anatomy to medical tests and diseases, Wolfram|Alpha provides access to computable health and medicine formulas, statistics and knowledge. +\begin{itemize} + \item Physical Exercise + \item Human Anatomy + \item Medical Codes + \item Blood Alcoholic Content + \item Mortality Data + \item Disesases + \item Medical Computations + \item Vision + \item Medical Tests + \item Nuclear Medicine + \item Health-Care Statistics + \item Drugs & Percriptions + \item Public Health +\end{itemize} + +\subsection{Technological World} +Human beings have been developing technology for thousands of years, as early as the Stone Age, which saw the dawn of tools used for cultivating crops and making primitive structures, up to the Information Age, which brought the internet. Data allows you to explore the technological world that exists all around us, from satellites used for telecommunication to barcodes used when purchasing items every day. + +\begin{itemize} + \item Communications + \item Satellistes + \item Barcodes + \item Space Probes + \item Photography + \item Structures + \item Nuclear Power + \item Nuclear Explosions + \item Carbon Footprint + \item Inventions + \item Web & Computer systems +\end{itemize} + +\subsection{Materials} +large volume of data on materials, both manmade and natural, including woods, metals, minerals, plastics and more. Many of these materials have important applications in industry and construction. Physical, thermal, mechanical, optical and processing properties of materials and compare materials by common name or manufacturer specification. + +\begin{itemize} + \item Alloys + \item Bulk Materials + \item Material Hardness + \item Minerals + \item Plastics + \item Woods + \item Material Chemistry \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 + \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. +\begin{itemize} + \item Geology + \item Geodesy & Navigation + \item Oceanography + \item Athospheric Sciences + \item Climate +\end{itemize} + \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 + \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. +\subsection{Food Science} +Food science is the study of the physical, chemical and biological characteristics of food and how to use this knowledge to select, store and prepare safe, nutritious and delicious food. + +\begin{itemize} + \item Food Composition + \item Nutrition + \item Dietary References & Standards + \item Nutrition + \item Food Comparison & Combinations + \item Food Physics +\end{itemize} + \section{Society \& Culture} +\subsection{Education} +Find out what academic degrees students are earning from prestigious universities, compute the average salary for teachers in your local school district, find out more about your SAT and ACT scores, compare student-teacher ratios among countries and much more. + +\begin{itemize} + \item International Education + \item Universities + \item School Districts + \item Standardized Tests + \item Education Statistics +\end{itemize} + \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. +\begin{itemize} + \item Movies + \item Television + \item Video Games + \item Notable Texts + \item Periodicals + \item Comics + \item Fictional Characters + \item Pupular Curves + \item Methology + \item Music +\end{itemize} \subsection{History} Generation of timelines, monetary value analysis, and comparison of historical events, inventions, and conflicts. \begin{itemize} + \item Historical Number + \item Historical Periods + \item Genealogy + \item Historical Events + \item Historical Countries + \item Miliraty Conflicts + \item World Leaders + \item Inventions \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 + \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 + \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} @@ -210,21 +352,21 @@ 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 + \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} @@ -232,21 +374,21 @@ Statistical analysis of populations and societies. \subsection{Personal Health} Nutritional data, exercise calculators, and growth tracking. \begin{itemize} - \item Physical Exercise - \item Food and Nutrition - \item Child Growth \& Development + \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 + \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} @@ -255,6 +397,16 @@ Data on music, films, artworks, and cultural productions. \subsection{Household Science} Applications of scientific reasoning to everyday environmental and physical phenomena. +\subsection{Dates & Anniversaries} + +\begin{itemize} + \item Calendar Information + \item Celebrations + \item Time Zone Calculations + \item Time Math + \item Anniversaries +\end{itemize} + \subsection{Household Math} \subsection{Programming} @@ -265,9 +417,9 @@ 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 + \item World Economy + \item Finland Economy + \item Weather \end{itemize} \end{document} |
