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The nabla is a triangular symbol resembling an inverted Greek delta: [1] or ∇. The name comes, by reason of the symbol's shape, from the Hellenistic Greek word νάβλα for a Phoenician harp, [2] [3] and was suggested by the encyclopedist William Robertson Smith in an 1870 letter to Peter Guthrie Tait. [2] [4] [5] [6] [7]
what does ∇ (upside down triangle) symbol mean in this problem. Ask Question. Asked 14 years, 1 month ago. Modified 3 years, 6 months ago. Viewed 272k times. 41. Given f(x) = 12xTAx +bTx + α f (x) = 1 2 x T A x + b T x + α. where A is an nxn symmetric matrix, b is an n-dimensional vector, and alpha a scalar. Show that.
27 Μαρ 2018 · Strictly speaking, nabla is the name of the typographical glyph, the upside down triangle: just a symbol on paper, meaning whatever the author intends it to mean. The name comes from the glyph's resemblance to an old fashioned harp.
The ∇ symbol is an inverted triangle and is employed to signify certain vector differential operations. It acts as a vector operator pointing in the direction of the steepest increase of a function. Example 1: Gradient. The gradient of a scalar field \( f \) in three-dimensional space is given by: \( ∇ f \).
Symbols representing physical quantities, units, mathematical operations and relationships, astronomical bodies, constellations, and the Greek alphabet.
3 Σεπ 2016 · It is called nabla, which is the name of the symbol but not it's meaning. In Calculus, you can find it (alone) as an operator meaning "denotes the vector of partial derivatives": $$\nabla = \left(\frac{\partial}{\partial x},\ \frac{\partial}{\partial y},\ \frac{\partial}{\partial z}\right)$$
The upside down triangle is an alternative to the nabla symbol to represent a gradient.
