Machine learning & AI
Stock market investors often rely on financial risk theories that help them maximize returns while minimizing financial loss due to market fluctuations. These theories help investors maintain a balanced portfolio to ensure ...
Aug 16, 2019
0
112
Engineering
Engineers from Caltech have generated a computer simulation of underwater bubble rings that is so realistic it is virtually indistinguishable from a video of the real thing. The point of the research, however, lies well beyond ...
Jul 29, 2019
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9
Computer Sciences
The human body's mechanisms are marvelous, yet they haven't given up all their secrets. In order to truly conquer human disease, it is crucial to understand what happens at the most elementary level.
May 29, 2019
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70
Robotics
Topping out at less than a foot, Salto the robot looks like a Star Wars imperial walker in miniature. But don't be fooled by its size—this little robot has a mighty spring in its step. Salto can vault over three times its ...
May 21, 2019
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93
Machine learning & AI
Say 100 people live near a lake. If at least 10 of them overfish this year, the entire fish population will die out. Each assumes at least 10 others will overfish, and there won't be anything left to fish in the coming years.
Mar 28, 2019
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146
Energy & Green Tech
TU Delft researchers have developed a new approach for quickly and accurately calculating the solar energy potential of surfaces in the urban environment. Via the new approach, architects and urban planners can more easily ...
Feb 5, 2019
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44
Energy & Green Tech
Rocks in the seabed off the UK coast could provide long-term storage locations for renewable energy production, new research suggests.
Jan 21, 2019
0
147
Computer Sciences
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 ...
Dec 12, 2018
1
405
Computer Sciences
A new theory based on the physics of cloud formation and neutron scattering could help animators create more lifelike movies, according to a Dartmouth-led study. Software developed using the technique focuses on how light ...
Nov 29, 2018
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83
Robotics
(Tech Xplore)—A team of researchers from the University of California at Berkeley has found some evidence that suggests making robots less self-assured might make them easier to integrate into society. In their paper uploaded ...
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
