divergence (Q1844): Difference between revisions

@@ Property / Freebase ID @@
+/m/029xs
@@ Property / Freebase ID: /m/029xs / rank @@
+Normal rank
@@ Property / Freebase ID: /m/029xs / reference @@
+stated in: Freebase Data Dumps
publication date: 28 October 2013Timestamp +2013-10-28T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 day
Before 0
After 0
-Timestamp
++2013-10-28T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+day
 Before
 After
@@ Property / instance of @@
+vector operator
@@ Property / instance of: vector operator / rank @@
+Normal rank
@@ Property / instance of @@
+differential operator
@@ Property / instance of: differential operator / rank @@
+Normal rank
@@ Property / Commons category @@
+Divergence
@@ Property / Commons category: Divergence / rank @@
+Normal rank
@@ Property / Quora topic ID @@
+Divergence
@@ Property / Quora topic ID: Divergence / rank @@
+Normal rank
@@ Property / Quora topic ID: Divergence / reference @@
+stated in: Quora
@@ Property / Unicode character @@
+∇ ·
@@ Property / Unicode character: ∇ · / rank @@
+Normal rank
@@ Property / defining formula @@
+ $\nabla \cdot {\boldsymbol {a}}=\sum _{i}{\frac {\partial a_{i}}{\partial x_{i}}}$ 
\nabla \cdot \boldsymbol{a} = \sum_i \frac{\partial a_i}{\partial x_i}
+Normal rank
+stated in: ISO 80000-2:2019 Quantities and units — Part 2: Mathematics
section, verse, paragraph, or clause: 2-18.15
@@ Property / Great Russian Encyclopedia Online ID (old version) @@
+1954920
@@ Property / Great Russian Encyclopedia Online ID (old version): 1954920 / rank @@
+Normal rank
+subject named as: ДИВЕРГЕНЦИЯ
@@ Property / Encyclopædia Britannica Online ID @@
+topic/divergence-mathematics
+Normal rank
+subject named as: divergence
@@ Property / described by source @@
+ISO 80000-2:2019 Quantities and units — Part 2: Mathematics
+Normal rank
+section, verse, paragraph, or clause: 2-18.15
@@ Property / described by source @@
+Armenian Soviet Encyclopedia, vol. 11
@@ Property / described by source: Armenian Soviet Encyclopedia, vol. 11 / rank @@
+Normal rank
+page(s): 611
@@ Property / Microsoft Academic ID @@
+164098820
@@ Property / Microsoft Academic ID: 164098820 / rank @@
+Normal rank
@@ Property / GND ID @@
+4528420-9
@@ Property / GND ID: 4528420-9 / rank @@
+Normal rank
@@ Property / GND ID: 4528420-9 / reference @@
+imported from Wikimedia project: German Wikipedia
Wikimedia import URL: https://de.wikipedia.org/w/index.php?title=Divergenz_eines_Vektorfeldes&oldid=205089702
@@ Property / IEV number @@
+-05-20
@@ Property / IEV number: 102-05-20 / rank @@
+Normal rank
@@ Property / different from @@
+division
@@ Property / different from: division / rank @@
+Normal rank
@@ Property / different from @@
+divergence
@@ Property / different from: divergence / rank @@
+Normal rank
@@ Property / in defining formula @@
+ $\nabla \cdot {\boldsymbol {a}}$ 
\nabla \cdot \boldsymbol{a}
@@ Property / in defining formula: $\nabla \cdot {\boldsymbol {a}}$ / rank @@
+Normal rank
@@ Property / in defining formula: $\nabla \cdot {\boldsymbol {a}}$ / qualifier @@
+symbol represents: divergence
@@ Property / in defining formula @@
+ ${\boldsymbol {a}}$ 
\boldsymbol{a}
@@ Property / in defining formula: ${\boldsymbol {a}}$ / rank @@
+Normal rank
@@ Property / in defining formula: ${\boldsymbol {a}}$ / qualifier @@
+symbol represents: vector
@@ Property / in defining formula @@
+ $a_{i}$ 
a_i
@@ Property / in defining formula: $a_{i}$ / rank @@
+Normal rank
@@ Property / in defining formula: $a_{i}$ / qualifier @@
+symbol represents: vector coordinate
@@ Property / in defining formula @@
+ $x_{i}$ 
x_i
@@ Property / in defining formula: $x_{i}$ / rank @@
+Normal rank
@@ Property / in defining formula: $x_{i}$ / qualifier @@
+symbol represents: Cartesian coordinate
@@ Property / MathWorld ID @@
+Divergence
@@ Property / MathWorld ID: Divergence / rank @@
+Normal rank
@@ Property / Commons gallery @@
+Divergence
@@ Property / Commons gallery: Divergence / rank @@
+Normal rank
@@ Property / schematic @@
+Divergence (captions).svg
@@ Property / schematic: Divergence (captions).svg / rank @@
+Normal rank
@@ Property / schematic @@
+Definition of divergence.svg
@@ Property / schematic: Definition of divergence.svg / rank @@
+Normal rank
@@ Property / schematic: Definition of divergence.svg / qualifier @@
+media legend: the divergence at a point 𝑥 is the limit of the ratio of the flux through the surface 𝑆ᵢ to the volume 𝑉ᵢ for any sequence of closed regions 𝑉₁, 𝑉₂, 𝑉₃, … enclosing 𝑥 that approaches zero volume (English)
@@ Property / Encyclopedia of Mathematics article ID @@
+Divergence
@@ Property / Encyclopedia of Mathematics article ID: Divergence / rank @@
+Normal rank
@@ Property / Digital Library of Mathematical Functions ID @@
+.6.E21
@@ Property / Digital Library of Mathematical Functions ID: 1.6.E21 / rank @@
+Normal rank
@@ Property / Encyclopedia of China (Third Edition) ID @@
@@ Property / Encyclopedia of China (Third Edition) ID: 60576 / rank @@
+Normal rank

Latest revision as of 15:13, 29 July 2024

vector differential operator measuring the source or sink at a given point

div
∇ ·
∇·
divergence operator
divergence of a vector
divergence of vector-valued function

Language	Label	Description	Also known as
English	divergence	vector differential operator measuring the source or sink at a given point	div ∇ · ∇· divergence operator divergence of a vector divergence of vector-valued function

Statements

instance of

vector operator

0 references

differential operator

0 references

Commons category

Divergence

0 references

Unicode character

∇ ·

0 references

defining formula

\nabla \cdot {\boldsymbol {a}}=\sum _{i}{\frac {\partial a_{i}}{\partial x_{i}}}

1 reference

stated in

ISO 80000-2:2019 Quantities and units — Part 2: Mathematics

section, verse, paragraph, or clause

2-18.15

described by source

ISO 80000-2:2019 Quantities and units — Part 2: Mathematics

section, verse, paragraph, or clause

2-18.15

0 references

Armenian Soviet Encyclopedia, vol. 11

page(s)

611

0 references

0 references

0 references

\nabla \cdot {\boldsymbol {a}}

symbol represents

divergence

0 references

{\boldsymbol {a}}

symbol represents

vector

0 references

a_{i}

symbol represents

vector coordinate

0 references

x_{i}

symbol represents

Cartesian coordinate

0 references

Commons gallery

Divergence

0 references

schematic

Divergence (captions).svg
510 × 281; 46 KB

0 references

Definition of divergence.svg
364 × 314; 37 KB

media legend

the divergence at a point 𝑥 is the limit of the ratio of the flux through the surface 𝑆ᵢ to the volume 𝑉ᵢ for any sequence of closed regions 𝑉₁, 𝑉₂, 𝑉₃, … enclosing 𝑥 that approaches zero volume (English)

0 references