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Figure 1. Extension of the concept of integral "numbers". Black points are the ordinary integers shown in a complex plane. Addition or multiplication of any pair of black points ends up with another black point. All the red points and blue points in this figure are solutions to some quadratic equations with integer coefficients. The purple points are solutions to some quartic equations with integer coefficients. So, we can think of those points also as a part of "numbers". Addition and multiplication operations among black-or-red points remain within the "numbers" shown in black-or-red points, and similarly, those operations of black-red-blue-or-purple points remain within the "numbers" in black-red-blue-or-purple points. In this way, it is possible to expand the set of integral "numbers" gradually.

Globular cluster 47 Tuc (upper right) and the Small Magellanic Cloud in the same field-of-view. The inset is a close-up of the cluster showing the detected magnetic field in a colour scale. The lines indicate the effect of the Galactic wind on the magnetic field.

Andros, Bahamas

Sizes of the 17 new planet candidates, compared to Mars, Earth, and Neptune. The planet in green is KIC-7340288 b, a rare rocky planet in the Habitable Zone.

Artist’s impression of TESS observing planets orbiting a dwarf star.

Satellite design applied to superyacht

The most powerful black hole eruption in the Universe

Jezero Crater, landing site for the upcoming Mars 2020 rover mission.

Our bodies and many of our favorite foods, including avocados, are made of organic molecules, such as unsaturated lipids, which are important building blocks for cell walls.

GW190425 : Artist's impression of the binary neutron star merger observed by LIGO Livingston on April 25, 2019.