Engineering

Using ships themselves to monitor and predict waves

Shipping provides the very foundation for world trade, by moving an estimated 11 billion tons of goods a year from where they are produced to where they will be used. From TVs to toasters, soap to sugar—much of it moves ...

Telecom

How does Wi-Fi work? An electrical engineer explains

Though you can't see them, radio waves are all around you all the time, carrying information. For most people, some of those radio waves are Wi-Fi signals. Wi-Fi is the catchy name an industry alliance came up with to market ...

Robotics

Improved remote control of robots

Sometimes you need to get human knowledge and skills to places that are hazardous or difficult to access for people. The project entitled Predictive Avatar Control and Feedback (PACOF) is creating a robotic system that allows ...

Machine learning & AI

Predicting sports performance with 'big data'

Smartphones and wearable devices are not simple accessories for athletes. A CNRS researcher has developed a simple mathematical model for studying the performance of endurance athletes. A recent collaboration with a scientist ...

Engineering

New patented invention stabilizes, rotates satellites

Many satellites are in space to take photos. But a vibrating satellite, like a camera in shaky hands, can't get a sharp image. Pointing it at a precise location to take a photo or perform another task, is another important ...

Machine learning & AI

Artificial intelligence is becoming sustainable

A research group from Politecnico di Milano has developed a new computing circuit that can execute advanced operations, typical of neural networks for artificial intelligence, in one single operation.

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Mathematics

Mathematics is the science and study of quantity, structure, space, and change. Mathematicians seek out patterns, formulate new conjectures, and establish truth by rigorous deduction from appropriately chosen axioms and definitions.

There is debate over whether mathematical objects such as numbers and points really exist or whether they are manmade. The mathematician Benjamin Peirce called mathematics "the science that draws necessary conclusions". Albert Einstein, on the other hand, stated that "as far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality."

Through the use of abstraction and logical reasoning, mathematics evolved from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity for as far back as written records go (see: History of Mathematics). Rigorous arguments first appeared in Greek mathematics, most notably in Euclid's Elements. Mathematics continued to develop, in fitful bursts, until the Renaissance, when mathematical innovations interacted with new scientific discoveries, leading to an acceleration in research that continues to the present day.

Today, mathematics is used throughout the world as an essential tool in many fields, including natural science, engineering, medicine, and the social sciences. Applied mathematics, the branch of mathematics concerned with application of mathematical knowledge to other fields, inspires and makes use of new mathematical discoveries and sometimes leads to the development of entirely new disciplines. Mathematicians also engage in pure mathematics, or mathematics for its own sake, without having any application in mind, although practical applications for what began as pure mathematics are often discovered later.

This text uses material from Wikipedia, licensed under CC BY-SA