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There are two ways to formally define affine planes, which are equivalent for affine planes over a field. The first way consists in defining an affine plane as a set on which a vector space of dimension two acts simply transitively. Intuitively, this means that an affine plane is a vector space of dimension two in which one has "forgotten ...
This is a collection of the best pics of all time where animals are living their best life from the Instagram page The Snuggle Is Real. And thank God someon But so do animals.
Let X be an affine space over a field k, and V be its associated vector space. An affine transformation is a bijection f from X onto itself that is an affine map; this means that a linear map g from V to V is well defined by the equation () = (); here, as usual, the subtraction of two points denotes the free vector from the second point to the first one, and "well-defined" means that ...
Image credits: pacific_tides Dangling isn’t a new phenomenon, it’s something that animals have always done in a variety of different ways. One man from Indiana, called Cameron Shoppach, took ...
Image credits: yuliyamnn The previously mentioned antarctic blue whale holds the title of the biggest animal on earth. It can weigh up to 400,000 pounds and reach a length of 98 feet. The giant ...
A similar construction, starting from the projective plane of order 3, produces the affine plane of order 3 sometimes called the Hesse configuration. An affine plane of order n exists if and only if a projective plane of order n exists (however, the definition of order in these two cases is not the same). Thus, there is no affine plane of order ...
With real nature, we can receive answers that render the most alien-looking and silent beings understandable, from plants to sea urchins and sponges—much like they did for Aristotle, who was ...
A man-eating plant is a fictional form of carnivorous plant large enough to kill and consume a human or other large animal. The notion of man-eating plants came about in the late 19th century, as the existence of real-life carnivorous and moving plants, described by Charles Darwin in Insectivorous Plants (1875), and The Power of Movement in Plants (1880), largely came as a shock to the general ...