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The gradient of a straight line can be found using the gradient calculator. A line is said to have a positive gradient if the slope goes up from the left hand side to the right hand side. A line is said to have a negative gradient if it inclines downwards from the left hand side to the right hand side.

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2.3.4 Spherical and deviatoric tensors. Any tensor of the form α1, with α denoting a scalar is known as a Every tensor A can be decomposed into its so called spherical part and its deviatoric part, i.e.

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This should allow you enough information to calculate the divergence in spherical coordinates from your covariant derivative to get the proof you require.

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- divergence measure the amount of ma-terial comming out of a volumn element at certain point. • We can consider Laplacian Operator as a combined operator that divergence of a gradient: ∇2f ≡ ∇...The method is based on modifying the source geometry to a form convenient for calculation: The sphere is approximated by a conical fragment of spherical shell, and the cylinder by a columnar fragment of cylindrical shell. The procedure for manual calculation is

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Feb 01, 2003 · The comparison between calculation and experiment under spherical divergent detonation (experimental data are taken from Ref. 9) Figure 4. The comparison between calculation and simulation under spherical divergent detonation (K Â 0.53 GPa, 1e/1m Â 0.218, m Â 3.0 Ã 103 Pa Â¥ s, k Â 2.7, D Â 7.98 km/s) Figure 6. B.I Derivation of Some General Relations The Cartesian coordinates (x, y, z) of a vector r are related to its spherical polar coordinates (r,e,cp)by x = r sine cos cp, y = r sine sincp, z = r cose (R1) The orthonormal Cartesian basis (x, y, z) is related to its spherical counterpart (r, e, rp) by x = r sin e cos cp + e cos e cos cp - rp sin cp ...

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Who this course is for: Anyone who wants to understand Divergence , Gradient and Curl of a vector field. This course would also suit anyone who wants to study electromagnetics or maybe fluid dynamics as it provides an introduction to the mathematics required to study these subjects.

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Hypergeometric calculator finds hypergeometric (PDF) and cumulative hypergeometric (CDF) probability. Fast, easy, accurate. An online hypergeometric table.

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mapping for spherical meshes while pointing the reader to further literature. Subsection II.c - provides a broad brushstroke sketch of a divergence-free MHD algorithm on a geodesic spherical mesh. This is meant to prepare the reader for subsequent sections. Mar 21, 2012 · We are now ready to calculate a surface integral. The process will look much like a line integral. Instead of calculating all of the individual pieces by hand, I am going to plug everything into an integral. The machine itself is capable of doing all of the intermediary steps: partial derivatives, dot products, and cross products. Microlens arrays are useful for homogenizing a variety of modern light emitters from line-narrowed excimer lasers to high power LEDs. Microlenses are well suited for applications that require high efficiency and non-gaussian uniformity.

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Calculate power and focal length of the combination. Q15. A convergent lens of power 8 D is combined with a divergent lens of power -10 D. Calculate focal length of the combination. Q16. A compound lens is made of two lenses having powers + 15·5 D and - 5·5 D. An object 3 cm, in height is placed at a distance of 30 cm, from this compound lens. Vector analysis calculators for vector computations and properties. Vector analysis is the study of calculus over vector fields. Operators such as divergence, gradient and curl can be used to analyze...

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When you describe vectors in spherical or cylindric coordinates, that is, write vectors as We can find neat expressions for the divergence in these coordinate systems by finding vectors pointing in the...

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