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NuCalc, also known as Graphing Calculator, is a computer software tool made by Pacific Tech. It can graph inequalities and vector fields, and functions in two, three, or four dimensions. It supports several different coordinate systems, and can solve equations. It runs on OS X as Graphing Calculator, and on Windows.
Del is a very convenient mathematical notation for those three operations (gradient, divergence, and curl) that makes many equations easier to write and remember. The del symbol (or nabla) can be formally defined as a vector operator whose components are the corresponding partial derivative operators.
The divergence of the curl of any vector field (in three dimensions) is equal to zero: ∇ ⋅ ( ∇ × F ) = 0. {\displaystyle \nabla \cdot (\nabla \times \mathbf {F} )=0.} If a vector field F with zero divergence is defined on a ball in R 3 , then there exists some vector field G on the ball with F = curl G .
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Software license OS Support Precision Scientific mode RPN mode Hex/oct/bin mode DeskCalc: MIT: Haiku: Arbitrary decimal Yes No No Mac OS calculator: Proprietary: macOS: Double (64 bit) Yes Yes Yes GNOME Calculator: GPL-3.0-or-later: Linux, BSDs, macOS: Arbitrary decimal Yes Yes Yes KCalc: GPL-2.0-or-later: Linux, BSDs, macOS: Arbitrary decimal ...
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 θ ∈ [ 0 , π ] {\displaystyle \theta \in [0,\pi ]} : it is the angle between the z -axis and the radial vector connecting the origin to the point in ...
Mathematical expressions involving these quantities in vector calculus and tensor analysis (such as the gradient, divergence, curl, and Laplacian) can be transformed from one coordinate system to another, according to transformation rules for scalars, vectors, and tensors. Such expressions then become valid for any curvilinear coordinate system.