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A vector field V defined on an open set S is called a gradient field or a conservative field if there exists a real-valued function (a scalar field) f on S such that = = (,,, …,). The associated flow is called the gradient flow , and is used in the method of gradient descent .
Disc golf, also known as frisbee golf, [2] [a] is a flying disc sport in which players throw a disc at a target, using rules similar to golf. [ 4 ] The sport is usually played on a course with 9 or 18 holes, each consisting of a teeing area and target (basket).
Disc golf is a game based on the rules of golf (referred to by disc golfers as "ball and stick golf"). It uses discs smaller and denser than an ultimate disc. The discs are thrown towards a target, which serves as the "hole". The official targets are metal baskets with hanging chains to catch the discs.
In mathematics and its applications, the signed distance function or signed distance field (SDF) is the orthogonal distance of a given point x to the boundary of a set Ω in a metric space (such as the surface of a geometric shape), with the sign determined by whether or not x is in the interior of Ω.
For a tensor field of order k > 1, the tensor field of order k is defined by the recursive relation = where is an arbitrary constant vector. A tensor field of order greater than one may be decomposed into a sum of outer products, and then the following identity may be used: = ().
Intuitively, it states that "the sum of all sources of the field in a region (with sinks regarded as negative sources) gives the net flux out of the region". The divergence theorem is an important result for the mathematics of physics and engineering, particularly in electrostatics and fluid dynamics. In these fields, it is usually applied in ...
Bossaball – a hybrid sport combining elements of volleyball, association football, gymnastics, and Capoeira, played on a field with three bases, there is a trampoline at the third base along with a net. [1] Allowing players to bounce high to spike or touch the ball and touch it with any part of the body, especially arms and hands; C
A (,)-tensor field is a differential -form, a (,)-tensor field is a vector field, and a (,)-tensor field is -vector field. While differential forms are widely studied as such in differential geometry and differential topology , multivector fields are often encountered as tensor fields of type ( 0 , k ) {\displaystyle (0,k)} , except in the ...
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