What's new

# del

Del, or nabla, is an operator used in mathematics (particularly in vector calculus) as a vector differential operator, usually represented by the nabla symbol ∇. When applied to a function defined on a one-dimensional domain, it denotes the standard derivative of the function as defined in calculus. When applied to a field (a function defined on a multi-dimensional domain), it may denote any one of three operators depending on the way it is applied: the gradient or (locally) steepest slope of a scalar field (or sometimes of a vector field, as in the Navier–Stokes equations); the divergence of a vector field; or the curl (rotation) of a vector field.
Strictly speaking, del is not a specific operator, but rather a convenient mathematical notation for those three operators that makes many equations easier to write and remember. The del symbol (or nabla) can be interpreted as a vector of partial derivative operators; and its three possible meanings—gradient, divergence, and curl—can be formally viewed as the product with a scalar, a dot product, and a cross product, respectively, of the "del operator" with the field. These formal products do not necessarily commute with other operators or products. These three uses, detailed below, are summarized as:

f
=

f

Divergence:

div

v

=

v

{\displaystyle \operatorname {div} {\vec {v}}=\nabla \cdot {\vec {v}}}

Curl:

curl

v

=

×

v

{\displaystyle \operatorname {curl} {\vec {v}}=\nabla \times {\vec {v}}}

You do not have permission to view the full content of this post. Log in or register now.
1. ### Smart TNT Sun Marawi City, Lanao del Sur, Mindanao. Halos 1 Month walang INTERNET!

Bakit kaya ganun sa amin dito sa Marawi simula 1st of July pa walang kalakas lakas ang internet namin kahit full bar naman ang signal. Parang buong Lanao del Sur pa ata base sa search ko sa FB. Walang kwenta ang customer service kapag chinachat o tinatawagan, always speedtest speedtest eh ang...
2. ### Help Explain the story wear the vest of humanity by Louise Margaret Del Rosario (bot)

Explain the story wear the vest of humanity by Louise Margaret Del Rosario
3. ### Help A disk error occured press ctrl alt del ccboot diskless

A disk error occured press ctrl alt del, during booting client diskless. How to solve po?
4. ### No network icon on Del Latitude 7420

Hello po sana po may makatulong sakin nawala po kasi yung network icon ng working laptop ko. may net naman ang kaso hindi nakaka access ng outlook at teams were using global protect para sa security ng work station ko po sana po may mga experts jan na mag guide
5. ### What if kayang mabuhay ng mga tao ng hundred years?

May mga scientist na naka reverse aging ng daga. What if gumana den sa atin yun? Dagdag pa ang AI na papalitan daw tayong lahat sa work? Like parang Jarvis ni iron man. Mag kakaroon daw tayong lahat ng sariling AI sa future. Anong thoughs niyo sa mga to?
6. ### Closed Globe.ehi

Mga tol . . Paano po gamitin ang ssh file ko ... Sa smart lang nagagamit ko . . Thanks po . . Payload din pala wala din ako . Thankssss!
7. ### Closed House of Grudge v.1.0.4

Coming in 2015, a horror game that will grab your attention and not let go! APK OBB
8. ### Closed Five Nights at Freddy's 4 v1.1

This is the last chapter of the Five Nights at Freddy's original story! APK