New kirigami-inspired models predict how new metamaterials behave

A traditional paper crane is a feat of artistry. Every fold in origami leads to the transformation of a single square sheet of paper into a bird, a dragon, or a flower. Origami discourages gluing, marking or cutting the paper, ...

Climate change affects the likelihood of armed conflict

Climate change influences the likelihood and duration of armed conflicts in Africa. This is the finding of a study carried out by a team from the INGENIO Institute, a joint center of the Universitat Politècnica de València ...

Climate warming damages DNA of endangered songbirds

Extreme heat waves can cause birds and mammals to die en masse. But it's more common for an animal to experience relatively mild heat stress that doesn't kill it. Our new findings suggest that unfortunately, these individuals ...

How animals reach their correct size

Even small differences in how fast animals grow during development can sum up to large differences in their adult body size. Nevertheless, adults of the same species are usually nearly identical in size. Benjamin Towbin, ...

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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.

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