Engineering

Tiny, cheap solution for quantum-secure encryption

It's fairly reasonable to assume that an encrypted email can't be seen by prying eyes. That's because in order to break through most of the encryption systems we use on a day-to-day basis, unless you are the intended recipient, ...

Computer Sciences

Team develops mathematical solver for analog computers

Your computer performs most tasks well. For word processing, certain computations, graphic arts and web surfing, the digital box on your desk is the best tool for the job. But the way your computer works, with its style of ...

Electronics & Semiconductors

From bits to p-bits: One step closer to probabilistic computing

Tohoku University scientists in Japan have developed a mathematical description of what happens within tiny magnets as they fluctuate between states when an electric current and magnetic field are applied. Their findings, ...

Software

New tool maps future climate costs for airlines, passengers

When Phoenix temperatures topped 120 F in June 2017, American Airlines canceled dozens of flights at a local airport because the airplanes could not take off safely in the extreme heat. Scenarios like this are likely to become ...

Engineering

Patterns in Islamic arts inspire stretchy metamaterials

(Tech Xplore)—Scholars have recognized that Medieval Islamic tiling reveals more than beauty; it also reveals mathematical prowess. A report in New Scientist in 2007 discussed how Medieval Islamic designers used elaborate ...

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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