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an infinitely long line of uniform charge; an infinite plane of uniform charge; an infinitely long cylinder of uniform charge; As example "field near infinite line charge" is given below; Consider a point P at a distance r from an infinite line charge having charge density (charge per unit length) λ. Imagine a closed surface in the form of ...
Field lines depicting the electric field created by a positive charge (left), negative charge (center), and uncharged object (right). A field line is a graphical visual aid for visualizing vector fields. It consists of an imaginary integral curve which is tangent to the field vector at each point along its length.
Feathering is most commonly used on a paintbrush tool in computer graphics software. This form of feathering makes the painted area appear smooth. It may give the effect of an airbrush or spraypaint. Color is concentrated at the center of the brush area, and it blends out toward the edges.
A curve (top) is filled according to two rules: the even-odd rule (left), and the non-zero winding rule (right). In each case an arrow shows a ray from a point P heading out of the curve. In the even-odd case, the ray is intersected by two lines, an even number; therefore P is concluded to be 'outside' the curve.
In theory, the Gaussian function at every point on the image will be non-zero, meaning that the entire image would need to be included in the calculations for each pixel. In practice, when computing a discrete approximation of the Gaussian function, pixels at a distance of more than 3σ have a small enough influence to be considered effectively ...
In mathematics, a quadratic form over a field F is said to be isotropic if there is a non-zero vector on which the form evaluates to zero. Otherwise it is a definite quadratic form. More explicitly, if q is a quadratic form on a vector space V over F, then a non-zero vector v in V is said to be isotropic if q(v) = 0.
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The non-zero elements of a finite field F form a cyclic group under multiplication, denoted F *. A primitive element, α, of F p n is an element that generates F * p n. Representing the non-zero field elements as powers of α allows multiplication in the field to be performed efficiently.