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This article uses the standard notation ISO 80000-2, which supersedes ISO 31-11, for spherical coordinates (other sources may reverse the definitions of θ and φ): . The polar angle is denoted by [,]: it is the angle between the z-axis and the radial vector connecting the origin to the point in question.
Another method of deriving vector and tensor derivative identities is to replace all occurrences of a vector in an algebraic identity by the del operator, provided that no variable occurs both inside and outside the scope of an operator or both inside the scope of one operator in a term and outside the scope of another operator in the same term ...
Del can also be applied to a vector field with the result being a tensor. The tensor derivative of a vector field v {\displaystyle \mathbf {v} } (in three dimensions) is a 9-term second-rank tensor – that is, a 3×3 matrix – but can be denoted simply as ∇ ⊗ v {\displaystyle \nabla \otimes \mathbf {v} } , where ⊗ {\displaystyle \otimes ...
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The adjective Cartesian refers to the French mathematician and philosopher René Descartes, who published this idea in 1637 while he was resident in the Netherlands.It was independently discovered by Pierre de Fermat, who also worked in three dimensions, although Fermat did not publish the discovery. [1]
Del in cylindrical and spherical coordinates – Mathematical gradient operator in certain coordinate systems; Double Fourier sphere method; Elevation (ballistics) – Angle in ballistics; Euler angles – Description of the orientation of a rigid body; Gimbal lock – Loss of one degree of freedom in a three-dimensional, three-gimbal mechanism
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The Xooy [1] [2] (meaning "macerate" in Serer, [3] sometimes spelled Xoy [4] or Khoy [5]) is a Serer divination ceremony held once a year in Fatick, Senegal.The Xooy is one of the most important and well known ceremonies in the Serer religious calendar, and is a national event in Senegal's cultural calendar which attracts government officials and dignitaries.