A delightfully concise animated proof of the sum of the arithmetic progression of the naturals.
Mathematics is beautiful. <3
In order to raise the altitude of an artificial satellite, it is necessary to accelerate it. When the orbital speed increases, the centrifugal force generated by the rotation of the satellite becomes stronger than the gravity of the earth applied to it, then the altitude rises. At this time, a certain amount of energy is returned from the satellite to the vacuum space to reduce the energy debt. Hence the orbital speed decreases and finally drops below the initial speed. The sum of the reduced amount of the momentum energy and the energy required for the acceleration is returned to the vacuum space.
In order to lower the altitude of an artificial satellite, it is necessary to decelerate it. When the orbital speed decreases, the centrifugal force becomes weaker than the gravity, then the altitude drops. At this time, the satellite is given a certain amount of energy from the vacuum space. Hence the orbital speed increases and finally rises above the initial speed. The sum of the increased amount of the momentum energy and the energy released by the deceleration is borrowed from the vacuum space.
British artist Jason Anderson creates colorful abstract paintings composed of pixelated swatches of pastel-toned oil paint. Up-close, the artist’s paintings look like blocky layers of shapes and color; but, from afar, his scenes—featuring cityscapes, roads, trains, and marinas—are revealed.
Anderson began his career as a stained glass apprentice, where he worked on restoring the windows of cathedrals. He soon progressed onto designing the glass murals himself, where he learned how to break down subject matter into “jigsaws” of colored sections. This approach still shines through in his paintings today—complex scenes are brought to life with simple shapes and careful consideration to hue and tone.
Source: www.VectorMine.com
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All of this for a lousy 2
Why the World’s Best Mathematicians Are Hoarding Chalk
"I calculated how many boxes I would need to last ten years."
#youwould
How did I watch 8 seasons of this
Seeing the world from under ! 🐠🐠🐠💦🌊 | benthouard
Location: French Polynesia