Mathematics
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Subfields by academic discipline
Areas of mathematics
Mathematics has become a vastly diverse subject over history, and there is a corresponding need to categorize the different areas of mathematics. A number of different classification schemes have aris...
Algorithm
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Algebra
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Arithmetic
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Calculus
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Chaos theory
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Fractal
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Game theory
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Geometry
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Mathematical logic
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Probability theory
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Set theory
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Trigonometry
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Topology
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Mathematical analysis
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Applied mathematics
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Combinatorics
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Discrete mathematics
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Dynamical systems
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Elementary mathematics
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Experimental mathematics
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Graph theory
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History of mathematics
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Mathematics of infinitesimals
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Number theory
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Order theory
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Probability and statistics
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Recreational mathematics
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Representation theory
Double Pendulum Chaos Light Writing
Double pendulum comprising two rigid linkages of negligible mass with point masses attached to the ends of the linkages, confined to two dimensional rotation...
3 share Nobel Prize in physics for discoveries on strange states of matter
Three physicists share the Nobel Prize for their work discovering strange states of matter
Researchers announce new way to explore mathematical universe
An international group of mathematicians at Arizona State University and other institutions have released a new kind of online resource to help discover uncharted mathematical worlds.
Can You Solve The '100 Hat Riddle' Used By Google In Job Interviews?
A riddle used during job interviews for Google has proven to be no problem for artificial intelligence. A team from the University of Oxford, Canadian Institute for Advanced Research and Google’s D...
Ancient Babylonians Geometrically Traced The Path of Jupiter
For millenia upon millenia, humans knew that certain objects in the sky moved while other stars stood still. These are the objects we now know as planets. But precise calculations on their movements r...
World's Fastest Rubik's Cube Solving Robot Does It In Just Over A Second
The fastest time for a human to solve a Rubik’s cube is 4.9 seconds. This robot can do it in 1.019 seconds. Software engineers Jay Flatland and Paul Rose built this piece of kit, which uses four webca...
Faster Optimization
Optimization problems are everywhere in engineering: Balancing design tradeoffs is an optimization problem, as are scheduling and logistical planning. The theory — and sometimes the implementation — o...
An algorithm can predict human behavior better than humans
You might presume, or at least hope, that humans are better at understanding fellow humans than machines are. But a new MIT study suggests an algorithm can predict someone's behavior faster and more r...
MIT Has Produced Data Science Machine That Is Replacing Human Intution For Big-Data Analysis
System that replaces human intuition with algorithms outperforms 615 of 906 human teams. Big-data analysis consists of searching for buried patterns that have some kind of predictive power. But choosi...
Researchers Develop Novel Theoretical Approach To Reduce Antibiotic Resistance
It is estimated that each year in the United States 2 million people become infected with bacteria that are resistant to one or more types of antibiotics, and at least 23,000 people will die because ...
The Biggest Mystery In Mathematics: Shinichi Mochizuki And The Impenetrable Proof
A Japanese mathematician claims to have solved one of the most important problems in his field. The trouble is, hardly anyone can work out whether he's right. Sometime on the morning of 30 August 201...
'Psychic Robot' Will Know What You Really Meant To Do
Bioengineers at the University of Illinois at Chicago have developed a mathematical algorithm that can 'see' your intention while performing an ordinary action like reaching for a cup or driving strai...
Bubble, Bubble … Boiling On The Double
The boiling of water is at the heart of many industrial processes, from the operation of electric power plants to chemical processing and desalination. But the details of what happens on a hot surface...
Where algebra got its name
With a history stretching back more than 2,000 years, the Uzbekistani city of Khiva is a bustling oasis packed full of exquisite architecture from its Silk Road heyday.
Facebook Fights YouTube With Big Data On What You Watch Unmuted, Full-Screen
Facebook wants to become your favorite Internet TV by tracking what a television never could. Today it announced a News Feed algorithm change that will show you more videos similar to ones you expand ...
Data Scientists Find Connections Between Birth Month And Health
Columbia University scientists have developed a computational method to investigate the relationship between birth month and disease risk. The researchers used this algorithm to examine New York City ...
Algorithm
In mathematics and computer science, an algorithm (/ˈælɡərɪðəm/ AL-gə-ri-dhəm) is a self-contained step-by-step set of operations to be performed. Algorithms exist that perform calculation, data proc...
Algorithm - Wikipedia
Algebra
Algebra (from Arabic al-jebr meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form algebra is the s...
Algebra - Wikipedia
Arithmetic
Arithmetic or arithmetics (from the Greek ἀριθμός arithmos, "number") is the oldest and most elementary branch of mathematics. It consists of the study of numbers, especially the properties of the tra...
Arithmetic - Wikipedia
Calculus
Calculus is the mathematical study of change, in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations. It has two major br...
Calculus - Wikipedia
Chaos theory
Chaos theory is a field of study in mathematics, with applications in several disciplines including meteorology, sociology, physics, engineering, economics, biology, and philosophy. Chaos theory studi...
Chaos theory - Wikipedia
Fractal
A fractal is a natural phenomenon or a mathematical set that exhibits a repeating pattern that displays at every scale. If the replication is exactly the same at every scale, it is called a self-simil...
Fractal - Wikipedia
Game theory
Game theory is the study of strategic decision making. Specifically, it is "the study of mathematical models of conflict and cooperation between intelligent rational decision-makers." An alternative t...
Game theory - Wikipedia
Geometry
Geometry (from the Ancient Greek: γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the propert...
Geometry - Wikipedia
Mathematical logic
Mathematical logic is a subfield of mathematics exploring the applications of formal logic to mathematics. Topically, mathematical logic bears close connections to metamathematics, the foundations of...
Probability theory
Probability theory is the branch of mathematics concerned with probability, the analysis of random phenomena. The central objects of probability theory are random variables, stochastic processes, and ...
Probability theory - Wikipedia
Set theory
Set theory is the branch of mathematical logic that studies sets, which are collections of objects. Although any type of object can be collected into a set, set theory is applied most often to objects...
Trigonometry
Trigonometry (from Greek trigōnon, "triangle" and metron, "measure") is a branch of mathematics that studies relationships involving lengths and angles of triangles. The field emerged during the 3rd ...
Trigonometry - Wikipedia
Topology
Topology (from the Greek τόπος, "place", and λόγος, "study") is the mathematical study of shapes and topological spaces. It is an area of mathematics concerned with the properties of space that are p...
Topology - Wikipedia
Mathematical analysis
Mathematical analysis is a branch of mathematics that includes the theories of differentiation, integration, measure, limits, infinite series, and analytic functions.These theories are usually studied...