Dictionary - Definition of DEL

"Del" is a common misspelling or typo for: deal, dell, duel, eel, DDL, deli, FEL, dele, DSL, dels, delf, diel, deil, DLE, EDL.

Date "Del" was first used in popular English literature: sometime before 1050. (references)

Note: Del \Del\, noun. [See Deal, noun.]. (references)

The following table is compiled from various sources, across various languages. When English abbreviations or acronyms come from a non-English source, this is noted.
Entry	Source	Expression	Field
DEL	English	Delhi	N/A
DEL	French	Oblitération	Computing, Meteorology & Standards
DEL	German	Erteilung	Transportation
DEL	Italian	Assegnazione	Transportation
Source: compiled by the editor, based on several corpora (additional references).				Top

Del

DEL or Del may refer to:

Department for Employment and Learning
Delete key (DEL or Del), on computer keyboards
HTML element <del> used for strikethrough
Deutsche Eishockey Liga, the premier hockey league in Germany
Indira Gandhi International Airport of New Delhi, Delhi, India (IATA airport code)
The delete control code in the C0 control code set used by ASCII, originally intended to allow mistakes on punched cards or tape to be erased by punching all holes at a position
Del, in vector calculus, a vector differential operator represented by the symbol ∇ (nabla)
Del (command), a shell command.
DEL (Norwegian band), a Norwegian drone-space-freak-psychedelic-noise-rock band
Del tha Funkee Homosapien, a hip hop artist
Del Boy, lead character in the BBC comedy Only Fools and Horses
Delphinus (constellation), standard astronomical abbreviation
A contraction of the words "di" and "il", in the Italian language, or "de" and "el", in both the Catalan language and Spanish language. In all cases, it means "of his" or "of its" (masculine)
The city where Lief and Barda started their journey in the book series Deltora Quest
Del (band), solo band by musician/producer Daniel Cardoso of Head Control System fame.
DEL, in telecommunication industry is abbreviation for Direct Exchange Line. Del line is used for ITFL lines to terminate.
Delaware, a state in the United States. Del is an abbreviation of Delaware, as is DE

Extended Definition: DEL

Del

∇

Del operator,
represented by
the nabla symbol.

In vector calculus, del is a vector differential operator represented by the nabla symbol: $\nabla$ .

Del is a mathematical tool serving primarily as a convention for mathematical notation; it makes many equations easier to comprehend, write, and remember. Depending on the way del is applied, it can describe the gradient (slope), divergence (degree to which something converges or diverges) or curl (rotational motion at points in a fluid). More intuitive descriptions of each of the many operations del performs can be found below.

Mathematically, del can be viewed as the derivative in multi-dimensional space. When used in one dimension, it takes the form of the standard derivative of calculus. As an operator, it acts on vector fields and scalar fields with analogues of traditional multiplication. As with all operators, these analogues should not be confused with traditional multiplication; in particular, del does not commute.

Definition

In the three-dimensional Cartesian coordinate system R³ with coordinates (x, y, z), del is defined in terms of partial derivative operators as

$\nabla = \mathbf{i}{\partial \over \partial x} + \mathbf{j}{\partial \over \partial y} + \mathbf{k}{\partial \over \partial z}$

where {i, j, k} is the standard basis in R³.

Though this page chiefly treats del in three dimensions, this definition can be generalized to the n-dimensional Euclidean space Rⁿ. In the Cartesian coordinate system with coordinates (x₁, x₂, …, x_n), del is:

$\nabla = \sum_{i=1}n \vec e_i {\partial \over \partial x_i}$

where $\{ \vec e_i: 1\leq i\leq n\}$ is the standard basis in this space.

More compactly, using the Einstein summation notation, del is written as

$\nabla = \vec e_i \partial_i$

Del can also be expressed in other coordinate systems, see for example del in cylindrical and spherical coordinates.

Notational uses of del

Del is used as a shorthand form to simplify many long mathematical expressions. It is most commonly used to simplify expressions for the gradient, divergence, curl, directional derivative, and Laplacian.

Gradient

The vector derivative of a scalar field f is called the gradient, and it can be represented as:

$\mbox{grad}\,f = {\partial f \over \partial x} \mathbf{i} + {\partial f \over \partial y} \mathbf{j} + {\partial f \over \partial z} \mathbf{k} = \nabla f$

It always points in the direction of greatest increase of f, and it has a magnitude equal to the maximum rate of increase at the point — just like a standard derivative. In particular, if a hill is defined as a height function over a plane h(x,y), the 2d projection of the gradient at a given location will be a vector in the xy-plane (sort of like an arrow on a map) pointing along the steepest direction. The magnitude of the gradient is the value of this steepest slope.

In particular, this notation is powerful because the gradient product rule looks very similar to the 1d-derivative case:

$\nabla(f g) = f \nabla g + g \nabla f$

The rules for products do not always turn out so simple, as illustrated by:

$\nabla (\vec u \cdot \vec v) = (\vec u \cdot \nabla) \vec v + (\vec v \cdot \nabla) \vec u + \vec u \times (\nabla \times \vec v) + \vec v \times (\nabla \times \vec u)$

Divergence

The divergence of a vector field v(x,y,z) = v_x i + v_y j + v_z k is a scalar function that can be represented as:

$\mbox{div}\,\vec v = {\partial v_x \over \partial x} + {\partial v_y \over \partial y} + {\partial v_z \over \partial z} = \nabla \cdot \vec v$

The divergence is roughly a measure of a vector field's increase in the direction it points; but more accurately a measure of that field's tendency to converge on or repel from a point.

The power of the del notation is shown by the following product rule:

$\nabla \cdot (f \vec v) = f \nabla \cdot \vec v + \vec v \cdot \nabla f$

The formula for the vector product is slightly less intuitive, because this product is not commutative:

$\nabla \cdot (\vec u \times \vec v) = \vec v \cdot \nabla \times \vec u - \vec u \cdot \nabla \times \vec v$

Curl

The curl of a vector field $v(x, y, z) = v_x\mathbf{i} + v_y\mathbf{j} + v_z\mathbf{k}$ is a vector function that can be represented as:

$\mbox{curl}\;\vec v = \left( {\partial v_z \over \partial y} - {\partial v_y \over \partial z} \right) \mathbf{i} + \left( {\partial v_x \over \partial z} - {\partial v_z \over \partial x} \right) \mathbf{j} + \left( {\partial v_y \over \partial x} - {\partial v_x \over \partial y} \right) \mathbf{k} = \nabla \times \vec v$

The curl at a point is proportional to the on-axis torque a tiny pinwheel would feel if it were centered at that point.

The vector product operation can be visualised as a pseudo-determinant:

$\nabla \times \vec v = \left|\begin{matrix} \mathbf{i} & \mathbf{j} & \mathbf{k} \\ \\ {\frac{\partial}{\partial x}} & {\frac{\partial}{\partial y}} & {\frac{\partial}{\partial z}} \\ \\ v_x & v_y & v_z \end{matrix}\right|$

Again the power of the notation is shown by the product rule:

$\nabla \times (f \vec v) = (\nabla f) \times \vec v + f \nabla \times \vec v$

Unfortunately the rule for the vector product does not turn out simple:

$\nabla \times (\vec u \times \vec v) = \vec u \, \nabla \cdot \vec v - \vec v \, \nabla \cdot \vec u + (\vec v \cdot \nabla) \vec u - (\vec u \cdot \nabla) \vec v$

Directional derivative

The directional derivative of a scalar field f(x,y,z) in the direction a(x,y,z) = a_x i + a_y j + a_z k is defined as:

$\vec{a}\cdot\mbox{grad}\,f = a_x {\partial f \over \partial x} + a_y {\partial f \over \partial y} + a_z {\partial f \over \partial z} = (\vec a \cdot \nabla) f$

This gives the change of a field f in the direction of a. In operator notation, the element in parentheses can be considered a single coherent unit; fluid dynamics uses this convention extensively, terming it the convective derivative — the 'moving' derivative of the fluid.

Laplacian

The Laplace operator is a scalar operator that can be applied to either vector or scalar fields; it is defined as:

$\Delta = {\partial2 \over \partial x2} + {\partial2 \over \partial y2} + {\partial2 \over \partial z2} = \nabla \cdot \nabla = \nabla2$

The Laplacian is ubiquitous throughout modern mathematical physics, appearing in Poisson's equation, the heat equation, the wave equation, and the Schrödinger equation — to name a few.

Tensor derivative

Del can also be applied to a vector field with the result being a tensor. The tensor derivative of a vector field $\vec{v}$ is a 9-term second-rank tensor, but can be denoted simply as $\nabla \otimes \vec{v}$ , where $\otimes$ represents the dyadic product. This quantity is equivalent to the Jacobian matrix of the vector field with respect to space.

For a small displacement $\delta \vec{r}$ , the change in the vector field is given by:

$\delta \vec{v} = (\nabla \otimes \vec{v}) \sdot \delta \vec{r}$

Second derivatives

When del operates on a scalar or vector, generally a scalar or vector is returned. Because of the diversity of vector products, one application of del already gives rise to three major derivatives — the divergence, gradient, and curl. Applying these three sorts of derivatives again to each other gives five possible second derivatives, for a scalar field f or a vector field v; the use of the Laplacian gives two more:

$\mbox{div}\,(\mbox{grad}\,f ) = \nabla \cdot (\nabla f)$

$\mbox{curl}\,(\mbox{grad}\,f ) = \nabla \times (\nabla f)$

$\Delta f = \nabla2 f$

$\mbox{grad}\,(\mbox{div}\, \vec v ) = \nabla (\nabla \cdot \vec v)$

$\mbox{div}\,(\mbox{curl}\,\vec v ) = \nabla \cdot (\nabla \times \vec v)$

$\mbox{curl}\,(\mbox{curl}\,\vec v ) = \nabla \times (\nabla \times \vec v)$

$\Delta \vec v = \nabla2 \vec v$

These are of interest principally because they are not always unique or independent of each other. As long as the functions are well-behaved, two of them are always zero:

$\mbox{curl}\,(\mbox{grad}\,f ) = \nabla \times (\nabla f) = 0$

$\mbox{div}\,(\mbox{curl}\,\vec v ) = \nabla \cdot \nabla \times \vec{v} = 0$

Two of them are always equal:

$\mbox{div}\,(\mbox{grad}\,f ) = \nabla \cdot (\nabla f) = \nabla2 f = \Delta f$

The 3 remaining vector derivatives are related by the equation:

$\nabla \times \nabla \times \vec{v} = \nabla (\nabla \cdot \vec{v}) - \nabla2 \vec{v}$

And one of them can even be expressed with the tensor product, if the functions are well-behaved:

$\nabla ( \nabla \cdot \vec{v} ) = \nabla \cdot (\nabla \otimes \vec{v})$

Precautions

Most of the above vector properties (except for those that rely explicitly on del's differential properties — for example, the product rule) rely only on symbol rearrangement, and must necessarily hold if del is replaced by any other vector. This is part of the tremendous value gained in representing this operator as a vector in its own right.

Though you can often replace del with a vector and obtain a vector identity, making those identities intuitive, the reverse is not necessarily reliable, because del does not often commute.

A counterexample that relies on del's failure to commute:

$\vec u \cdot \vec v = \vec v \cdot \vec u$

$\nabla \cdot \vec v \ne \vec v \cdot \nabla$

A counterexample that relies on del's differential properties:

$(\nabla x) \times (\nabla y) = \mathbf{k}$

$(\vec u x )\times (\vec u y) = \mathbf{0}$

Central to these distinctions is the fact that del is not simply a vector — it is a vector operator. Whereas a vector is an object with both a precise numerical magnitude and direction, del doesn't have a precise value for either until it is allowed to operate on something.

For that reason, identities involving del must be derived from scratch, not derived from pre-existing vector identities.

References

Div, Grad, Curl, and All That, H. M. Schey, ISBN 0-393-96997-5
Jeff Miller, Earliest Uses of Symbols of Calculus (Aug. 30, 2004).
Cleve Moler, ed., "History of Nabla", NA Digest 98 (Jan. 26, 1998).

External links

A survey of the improper use of ∇ in vector analysis (1994) Tai, Chen

Source: adapted by the editor from Wikipedia, the free encyclopedia; from the article "Del". Image Credit.
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Language	Translations (or nearest inflections or synonyms, in parentheses)
Al Arabiya	حذف، مفتاح الحذف (Del), اتفاقات كوستا دل سول (Costa Del sol agreements), إعلان كوستا دل سول (Costa Del sol declaration), خطة عمل مار دل بلاتا المتعلقة بتنمية وإدارة الموارد المائية (mar Del Plata action plan on water development and administration), إعلان بونتا دل إستي (Punta Del Este declaration), الإعلان الوزاري المتعلق بجولة أوروغواي؛ الإعلان الوزاري لبونتا دل إستي (ministerial declaration on the Uruguay round, Punta Del Este ministerial declaration), اتحاد السكان الأصليين في إكوادور (Confederación de Nacionalidades Indigenas del Ecuador), قبل تأكيد الحذف (before Del confirm), بعد تأكيد الحذف (after Del confirm), لجنة تنسيق منظمات وأمم الشعوب الأصلية في القارة (Comisión Coordinadora de Organizaciones y Naciones Indígenas del Continente). Additional references: Al Arabiya, Saudi Arabia, Algeria, Del. (volunteer & more translations)
Al Fus-Ha	حذف، مفتاح الحذف (Del), اتفاقات كوستا دل سول (Costa Del sol agreements), إعلان كوستا دل سول (Costa Del sol declaration), خطة عمل مار دل بلاتا المتعلقة بتنمية وإدارة الموارد المائية (mar Del Plata action plan on water development and administration), إعلان بونتا دل إستي (Punta Del Este declaration), الإعلان الوزاري المتعلق بجولة أوروغواي؛ الإعلان الوزاري لبونتا دل إستي (ministerial declaration on the Uruguay round, Punta Del Este ministerial declaration), اتحاد السكان الأصليين في إكوادور (Confederación de Nacionalidades Indigenas del Ecuador), قبل تأكيد الحذف (before Del confirm), بعد تأكيد الحذف (after Del confirm), لجنة تنسيق منظمات وأمم الشعوب الأصلية في القارة (Comisión Coordinadora de Organizaciones y Naciones Indígenas del Continente). Additional references: Al Fus-Ha, Saudi Arabia, Algeria, Del. (volunteer & more translations)
Arabic	حذف، مفتاح الحذف (Del), اتفاقات كوستا دل سول (Costa Del sol agreements), إعلان كوستا دل سول (Costa Del sol declaration), خطة عمل مار دل بلاتا المتعلقة بتنمية وإدارة الموارد المائية (mar Del Plata action plan on water development and administration), إعلان بونتا دل إستي (Punta Del Este declaration), الإعلان الوزاري المتعلق بجولة أوروغواي؛ الإعلان الوزاري لبونتا دل إستي (ministerial declaration on the Uruguay round, Punta Del Este ministerial declaration), اتحاد السكان الأصليين في إكوادور (Confederación de Nacionalidades Indigenas del Ecuador), قبل تأكيد الحذف (before Del confirm), بعد تأكيد الحذف (after Del confirm), لجنة تنسيق منظمات وأمم الشعوب الأصلية في القارة (Comisión Coordinadora de Organizaciones y Naciones Indígenas del Continente). Additional references: Arabic, Saudi Arabia, Algeria, Del. (volunteer & more translations)
Balgarski	Силатанасъдбата (La forza del destino), Купа на краля (Copa del Rey), Дел Нортей (Del Norte County). Additional references: Balgarski, Bulgaria, Greece, Del. (volunteer & more translations)
Balgarski (transliteration)	silatanasʺdbata (La forza del destino), kupa na kralya (Copa del Rey), del nortey (Del Norte County). Additional references: Balgarski, Bulgaria, Greece, Del. (volunteer & more translations)
Bohemian	operator nabla (del), delta (del, delta, river delta), operátor nabla (del, nabla). Additional references: Bohemian, Czech Republic, Del. (volunteer & more translations)
Brazilian Portuguese	Del (Del). Additional references: Brazilian Portuguese, Portugal, Angola, Del. (volunteer & more translations)
Bulgarian	Силатанасъдбата (La forza del destino), Купа на краля (Copa del Rey), Дел Нортей (Del Norte County). Additional references: Bulgarian, Bulgaria, Greece, Del. (volunteer & more translations)
Bulgarian (transliteration)	silatanasʺdbata (La forza del destino), kupa na kralya (Copa del Rey), del nortey (Del Norte County). Additional references: Bulgarian, Bulgaria, Greece, Del. (volunteer & more translations)
Calabro-Sicilian	Casteddammari (Castellammare del Golfo), Mazzara (Mazara del Vallo). Additional references: Calabro-Sicilian, Italy, Del. (volunteer & more translations)
Central Tai	ราฟาเอล เดล เรียโก (Rafael del Riego). Additional references: Central Tai, Thailand, Del. (volunteer & more translations)
Cestina	operator nabla (del), delta (del, delta, river delta), operátor nabla (del, nabla). Additional references: Cestina, Czech Republic, Del. (volunteer & more translations)
Chinese Simplified	倒三角形 (del), 删除文件 (del), 删除 (delete, deletion, to delete, deletions, excision), 马德普拉塔 (mar del Plata), del 划痕风景 (vista del mar), vanessa del rio 照片 (vanessa del rio photo), 火地岛省 (Tierra del Fuego), 本田 del sol (honda del sol), 本田汽车 del (honda del), del 射线 (del ray). Additional references: Chinese Simplified, China, Brunei, Del. (volunteer & more translations)
Chinese Traditional	刪除文件 (del), del 劃痕風景 (vista del mar), vanessa del rio 照片 (vanessa del rio photo), 火地島省 (Tierra del Fuego), 馬德普拉塔 (Mar del Plata), 本田 del sol (honda del sol), 本田汽車 del (honda del), del 射線 (del ray). Additional references: Chinese Traditional, China, Brunei, Del. (volunteer & more translations)
Croatian	operator nabla (del). Additional references: Croatian, Croatia, Del. (volunteer & more translations)
Czech	operator nabla (del), delta (del, delta, river delta), operátor nabla (del, nabla). Additional references: Czech, Czech Republic, Del. (volunteer & more translations)
Deutsch	DELete (del), DEL (del), Nabla-Operator (Del). Additional references: Deutsch, Germany, Austria, Del. (volunteer & more translations)
Dutch	Nabla (Del). Additional references: Dutch, Netherlands, Aruba, Del. (volunteer & more translations)
Français	opérateur nabla (Del, nabla, Del operator, nabla operator), d gradient (Del). Additional references: Français, France, Algeria, Del. (volunteer & more translations)
French	opérateur nabla (Del, nabla, Del operator, nabla operator), d gradient (Del). Additional references: French, France, Algeria, Del. (volunteer & more translations)
Georgian	ცეცხლოვანიმიწა (Tierra del Fuego Province). Additional references: Georgian, Georgia, Iran, Del. (volunteer & more translations)
German	DELete (del), DEL (del), Nabla-Operator (Del). Additional references: German, Germany, Austria, Del. (volunteer & more translations)
Gruzinski	ცეცხლოვანიმიწა (Tierra del Fuego Province). Additional references: Gruzinski, Georgia, Iran, Del. (volunteer & more translations)
Hanguk Mal	무대상의 히트 (coup del theatre), 극적 행동 (coup del theatre), 티에라델푸에고 (Tierra del Fuego), 라파엘 델 리에고 (Rafael del Riego), 티에라델푸에고 섬 (Isla Grande de Tierra del Fuego), 프라도 미술관 (Museo del Prado), 초콜릿 맛이 나는 리큐르 술 (creme del cacao). Additional references: Hanguk Mal, Korea, South, Korea, Del. (volunteer & more translations)
Hanguohua	무대상의 히트 (coup del theatre), 극적 행동 (coup del theatre), 티에라델푸에고 (Tierra del Fuego), 라파엘 델 리에고 (Rafael del Riego), 티에라델푸에고 섬 (Isla Grande de Tierra del Fuego), 프라도 미술관 (Museo del Prado), 초콜릿 맛이 나는 리큐르 술 (creme del cacao). Additional references: Hanguohua, Korea, South, Korea, Del. (volunteer & more translations)
Hebrew	ארץ האש (Tierra del Fuego), רפאל דל ריגו (Rafael del Riego), מוזיאוןדלבריו (El Museo del Barrio), אלסנדרו דל פיירו (Alessandro Del Piero). Additional references: Hebrew, Israel, Del. (volunteer & more translations)
High Arabic	حذف، مفتاح الحذف (Del), اتفاقات كوستا دل سول (Costa Del sol agreements), إعلان كوستا دل سول (Costa Del sol declaration), خطة عمل مار دل بلاتا المتعلقة بتنمية وإدارة الموارد المائية (mar Del Plata action plan on water development and administration), إعلان بونتا دل إستي (Punta Del Este declaration), الإعلان الوزاري المتعلق بجولة أوروغواي؛ الإعلان الوزاري لبونتا دل إستي (ministerial declaration on the Uruguay round, Punta Del Este ministerial declaration), اتحاد السكان الأصليين في إكوادور (Confederación de Nacionalidades Indigenas del Ecuador), قبل تأكيد الحذف (before Del confirm), بعد تأكيد الحذف (after Del confirm), لجنة تنسيق منظمات وأمم الشعوب الأصلية في القارة (Comisión Coordinadora de Organizaciones y Naciones Indígenas del Continente). Additional references: High Arabic, Saudi Arabia, Algeria, Del. (volunteer & more translations)
High German	DELete (del), DEL (del), Nabla-Operator (Del). Additional references: High German, Germany, Austria, Del. (volunteer & more translations)
Hochdeutsch	DELete (del), DEL (del), Nabla-Operator (Del). Additional references: Hochdeutsch, Germany, Austria, Del. (volunteer & more translations)
Italian	Operatore Nabla (Del), Canc (Del), agente del credere (Del credere agent), del credere (Del CREDERE), provvigione del credere (del credere commission), commissione del credere (del credere commission), star del credere (Del credere), masseria del sordo (Masseria Del sordo), un agente del credere (a del credere agent), testa mobile in fuga di encoder (el cabezal mvil no responde a los mandos del codificador). Additional references: Italian, Italy, Croatia, Del. (volunteer & more translations)
Ivrit	ארץ האש (Tierra del Fuego), רפאל דל ריגו (Rafael del Riego), מוזיאוןדלבריו (El Museo del Barrio), אלסנדרו דל פיירו (Alessandro Del Piero). Additional references: Ivrit, Israel, Del. (volunteer & more translations)
Japanese	ベクトル微分演算子 (del), デラウェア州 (Delaware, de, del), デル (del, dell), 抹消 (erasure, delete, cancellation, erasion, obliteration), マグダレナデルマル (Magdalena del mar), デルマー (del mar, Delmar), テスタデルガルガノ岬 (testa del Gargano), カジー山脈 (sierra del cadi), エンジェル滝 (salto del angel), ココ島 (Isla del coco). Additional references: Japanese, Japan, Taiwan, Del. (volunteer & more translations)
Kartuli	ცეცხლოვანიმიწა (Tierra del Fuego Province). Additional references: Kartuli, Georgia, Iran, Del. (volunteer & more translations)
Korean	무대상의 히트 (coup del theatre), 극적 행동 (coup del theatre), 티에라델푸에고 (Tierra del Fuego), 라파엘 델 리에고 (Rafael del Riego), 티에라델푸에고 섬 (Isla Grande de Tierra del Fuego), 프라도 미술관 (Museo del Prado), 초콜릿 맛이 나는 리큐르 술 (creme del cacao). Additional references: Korean, Korea, South, Korea, Del. (volunteer & more translations)
Portuguese	Del (Del). Additional references: Portuguese, Portugal, Angola, Del. (volunteer & more translations)
Ruotsi	Nablaoperatorn (Del). Additional references: Ruotsi, Sweden, Finland, Del. (volunteer & more translations)
Russian	Оператор набла (Del), дель (del, network), Риего-и-Нуньес (Rafael del Riego), Музей Прадо (Museo del Prado), Карпини (Giovanni da Pian del Carpine), Коммюнике Мар-дель-Плата (mar Del Plata communiqué), клавиша стирания (Del key, delete key), Декларация Коста-дель-Соль (Costa Del sol declaration), соглашения Коста-дель-Соль (Costa Del sol agreements), Верроккьо (Andrea del Verrocchio). Additional references: Russian, Russia, China, Del. (volunteer & more translations)
Russian (transliteration)	operator nabla (Del), delʹ (del, network), riego-i-nunʹes (Rafael del Riego), muzey prado (Museo del Prado), karpini (Giovanni da Pian del Carpine), kommyunike mar-delʹ-plata (mar Del Plata communiqué), klavisha stiraniya (Del key, delete key), deklaratsiya kosta-delʹ-solʹ (Costa Del sol declaration), soglasheniya kosta-delʹ-solʹ (Costa Del sol agreements), verrokkʹo (Andrea del Verrocchio). Additional references: Russian, Russia, China, Del. (volunteer & more translations)
Russki	Оператор набла (Del), дель (del, network), Риего-и-Нуньес (Rafael del Riego), Музей Прадо (Museo del Prado), Карпини (Giovanni da Pian del Carpine), Коммюнике Мар-дель-Плата (mar Del Plata communiqué), клавиша стирания (Del key, delete key), Декларация Коста-дель-Соль (Costa Del sol declaration), соглашения Коста-дель-Соль (Costa Del sol agreements), Верроккьо (Andrea del Verrocchio). Additional references: Russki, Russia, China, Del. (volunteer & more translations)
Russki (transliteration)	operator nabla (Del), delʹ (del, network), riego-i-nunʹes (Rafael del Riego), muzey prado (Museo del Prado), karpini (Giovanni da Pian del Carpine), kommyunike mar-delʹ-plata (mar Del Plata communiqué), klavisha stiraniya (Del key, delete key), deklaratsiya kosta-delʹ-solʹ (Costa Del sol declaration), soglasheniya kosta-delʹ-solʹ (Costa Del sol agreements), verrokkʹo (Andrea del Verrocchio). Additional references: Russki, Russia, China, Del. (volunteer & more translations)
Serbian (transliteration)	delete (del), brisanje (deletion, effacement, erasure, sweeping, cancel), jemstvo (warranty, acceptance, affidavit, assurance, bail). Additional references: Serbian (transliteration), Del. (volunteer & more translations)
Siamese	ราฟาเอล เดล เรียโก (Rafael del Riego). Additional references: Siamese, Thailand, Del. (volunteer & more translations)
Sicilian	Casteddammari (Castellammare del Golfo), Mazzara (Mazara del Vallo). Additional references: Sicilian, Italy, Del. (volunteer & more translations)
Spanish	Canc (del), eliminar (eliminate, remove, to eliminate, delete, cancel). Additional references: Spanish, Spain, Mexico, Del. (volunteer & more translations)
Standard Thai	ราฟาเอล เดล เรียโก (Rafael del Riego). Additional references: Standard Thai, Thailand, Del. (volunteer & more translations)
Svenska	Nablaoperatorn (Del). Additional references: Svenska, Sweden, Finland, Del. (volunteer & more translations)
Swedish	Nablaoperatorn (Del). Additional references: Swedish, Sweden, Finland, Del. (volunteer & more translations)
Thai	ราฟาเอล เดล เรียโก (Rafael del Riego). Additional references: Thai, Thailand, Del. (volunteer & more translations)
Thaiklang	ราฟาเอล เดล เรียโก (Rafael del Riego). Additional references: Thaiklang, Thailand, Del. (volunteer & more translations)
Turkish	sil tuşu (delete key, clear key, del key), Del tuşu (del key), Silme Onayı Öncesinde (before del confirm), Silme Onayı Sonrasında (after del confirm). Additional references: Turkish, Turkey, Bulgaria, Del. (volunteer & more translations)
Ukrainian	Тієрра дель Фуеґо (Tierra del Fuego), Плано Карпіні Джованні да (Giovanni da Pian del Carpine), Андреа Дель Сарто (Andrea del Sarto). Additional references: Ukrainian, Del. (volunteer & more translations)
Ukrainian (transliteration)	tієrra delʹ fueґo (Tierra del Fuego), plano karpіnі dzhovannі da (Giovanni da Pian del Carpine), andrea delʹ sarto (Andrea del Sarto). Additional references: Ukrainian, Del. (volunteer & more translations)
Source: Eve, based on a combination of meta analysis and graph theory (for near and back translations).		Top

Language	Translations for “Del” or closest synonym(s); back translations in parentheses.
Athag	dathagel (del). Additional references: Athag, Del. (volunteer)
Double Dutch	dagel (del). Additional references: Double Dutch, Del. (volunteer)
Leet	\|)&1 (del). Additional references: Leet, Del. (volunteer)
Oppish	dopel (del). Additional references: Oppish, Del. (volunteer)
Pig Latin	Elday (Del). Additional references: Pig Latin, Del. (volunteer)
Terran B	Dalrato (Del). Additional references: Terran B, Del. (volunteer)
Ubbi Dubbi	dubel (del). Additional references: Ubbi Dubbi, Del. (volunteer)
Source: compiled by the editor.		Top


Part of Speech	Definition
Noun	1. Share; portion; part.[Websters].
Source: Webster's Revised Unabridged Dictionary (1913)		Top

Domain	Definition
Aerospace	1: Deorbit, Entry, and Landing. (references)
	2: Deliver, Delivery. (references)
	3: Data Evaluation Laboratory (GSFC). (references)
Environment	1: Deliver. (references)
	2: Directorate of Engineering and Logistics (U.S. Army). (references)
Health	Delivery. (references)
Military	1: Deployable equipment list. (references)
	2: Delivery (the abbreviation may never be used singly). (references)
	3: Delaware. (references)
Technology	1: Delay. (references)
	2: Delete. (references)
	3: Data Enhancement Layer. (references)
Source: compiled by the editor from various references; see credits.		Top

Expressions	Definition
Academia del Perpetuo Socorro	Academia del Perpetuo Socorro ("Academy of Our Lady of Perpetual Help") was founded in 1921 as a Catholic parochial school pertaining to the Perpetuo Socorro Parish at the Archidiocese of San Juan, Puerto Rico. The school is located in Miramar a suburb of San Juan. The current principal is Sister Armand Marie Ayala SSND. (references)
Accademia del Cimento	The Accademia del Cimento (Academy of Experiment), a early scientific society, was founded in Florence 1657 by students of Galileo, Evangelista Torricelli and Vincenzo Viviani. The academy was funded by the Medici. Giovanni Borelli and Nicolaus Steno were also members. (references)
Accademia dell' Arte del Disegno	The Accademia dell' Arte del Disegno (Academy of Design) of Florence was the first academy of drawing in Europe. It was founded in 1561 with high patronage of the Medici by Giorgio Vasari, Agnolo Bronzino and Bartolommeo Ammannati, three of the central artists of Mannerism. At first the academy met in the cloisters of the Church of the Santissima Annunziata. (references)
Adelaide del Vasto	Adelaide del Vasto (c. 1075 - April 16, 1118) was the wife of Roger I of Sicily and mother of Roger II of Sicily, as well as queen of Jerusalem due to her later marriage to Baldwin I of Jerusalem. (references)
Aglianico del Vulture	Aglianico del Vulture is a red wine produced in the Vulture area of the Basilicata region in Italy. it has been awarded the DOC status in 1971 and is considered among the finest wines produced in Italy. Due to the similar way in production and taste it is also called the Barolo of the South. (references)
Agusan del Norte	Agusan del Norte is a province of the Philippines located in the Caraga region in Mindanao. Its capital is Butuan City and borders Surigao del Norte to the north, Surigao del Sur to the east, Agusan del Sur to the south, and Misamis Oriental to the west. It faces Butuan Bay, part of the Bohol Sea, to the northwest. (references)
Agusan del Sur	Agusan del Sur is a landlocked province of the Philippines located in the Caraga region in Mindanao. Its capital is Prosperidad and borders, from the north clockwise, Agusan del Norte, Surigao del Sur, Davao Oriental, Compostela Valley, Davao, Bukidnon, and Misamis Oriental. (references)
Agusan del Sur State College Of Agriculture And Technology	Agusan del Sur State College of Agriculture And technology is a State college Located at San Teodoro, Bunawan Agusan del Sur. (references)
Al Del Greco	Albert Louis Del Greco (born March 2, 1962, in Providence, Rhode Island) is a former American football placekicker. In his National Football League (NFL) career, which lasted seventeen years, he played for the Green Bay Packers, Arizona Cardinals, and Tennessee Titans. He played collegiately at Auburn University. (references)
Alegria, Surigao del Norte	Alegria is a 5th class municipality in the province of Surigao del Norte, Philippines. According to the 2000 census, it has a population of 12,923 people in 2,350 households. (references)
------------------ 559 common expressions abridged ---------------
Source: compiled by the editor from various references; see credits.		Top

Expressions	Domain	Definition
Alteraciones del comportamiento	Medicine	Substance that can avoid some of the fluctuations in motor control that accompany extended use of L-dopa. Source: European Union. (references)
Bernardo del Carpio	Literature	One of the most favourite subjects of the Spanish minstrels; the other two being the Cid and Lara's seven infants. Source: Brewer's Dictionary.
C); Granizo (C); Planta del soldado (C); Silvasilva (C); Vara blanca (CR)	Botanical	The leaves are used to make a tea or coffee substitute, and to flavor contraband liquor in Colombia. An infusion of the bark is believed febrifugal, restorative, and tonic. (references)
Controller del lettore di floppy disk	Medicine	Pathway in which a mutation causes any component to issue stimulatory messages autonomously, without waiting for commands from upstream. Source: European Union. (references)
Cura del pelo	Medicine	Is the practice of activities that individuals personally initiate and perform on their behalf in maintening life, health and well being. Source: European Union. (references)
Del Caribe	Library Science	1: Del Caribe. Casa del Caribe. Santiago, Cuba. (references)
		2: Del Caribe. Casa del Caribe. Santiago, Cuba. (references)
Del credere	Law	DEL CREDERE, contracts. 1. A del credere commission is one under which the agent, in consideration of an additional premium, engages to insure to his principal not only the solvency of the debtor, but the punctual discharge of the debt; and he is liable, in the first instance, without any demand from the debtor. 6 Bro. P. C. 287; Beawes, 429; 1 T. Rep. 112; Paley on Agency, 39. 2. If the agent receive the amount of sales, and remit the amount to the principal by a bill of exchange, he is not liable if it should be protested. 2 W. C. C. R. 378. See, also, Com. Dig. Merchant, B; 4 M. & S. 574. (references)
Del credere commission	Business	The remuneration which a commission agent receives from his principal in respect of his del credere. Source: European Union. (references)
Del Credere Risk	Economics	A situation where a sales agent sells on credit and for an additional commission guarantees to his principal the credit of the purchaser and the performance of the contract. (references)
Dichiarazione sostitutiva del giuramento	Personal Care & Hotels	This is the opening left in the wall to receive the window. Source: European Union. (references)
Drenaje por expansiÃ³n del gas disuelto	Chemistry	The amount of oxygen, in parts per million by weight, dissolved in water, now generally expressed in mg/l. Source: European Union. (references)
Enfermedad del coito	Finance	Any physical check and/or administrative formality which applies to the animals or products referred to in Article 1 and which is intended for the protection, direct or otherwise, of public or animal health. Source: European Union. (references)
Grotta del Cane	Literature	(Naples). The Dog's Cave, so called from the practice of sending dogs into it to show visitors how the carbonic acid gas near the floor of the cave kills them. Source: Brewer's Dictionary.
Malattia del vomito e(del)deperimento(dei suinetti)	Medicine	The tapping of the subarachnoid space in the lumbar region, usually between the third and fourth lumbar vertebrae. Source: European Union. (references)
Mercado Commun del Sur	Agriculture	A customs union between Argentina, Brazil, Paraguay, and Uruguay, which came into effect on January 1, 1995. Chile and Bolivia have become associate members. (MERCOSUR). (references)
Nevado del Ruiz	Public Administration	Volcano in Colombia, South America, which erupted on 14 November 1985, melting the icecap and causing a gigantic mudflow which obliterated the town of Armero and killed some 23. 000 people, mainly imprisoned in the mud. Source: European Union. (references)
Repubblica del Paraguay	Statistics	The statistical designation for a part-time employee. Source: European Union. (references)
Source: compiled by the editor from various references; see credits.			Top

Definition: DEL

Specialty Definition: DEL

Common Expressions: DEL

Specialty Expressions: DEL

Abbreviations & Acronyms: DEL

Extended Definition: DEL

Del

See also

Extended Definition: DEL

Del

Definition

Notational uses of del

Gradient

Divergence

Curl

Directional derivative

Laplacian

Tensor derivative

Second derivatives

Precautions

See also

References

External links

Topics by Level of Interest: DEL

Translations: DEL

Constructed Language Translations: DEL

Topics by Level of Interest: DEL
Topics sorted by level of Interest	Level (1=low, 600=high)	Topics sorted Alphabetically	Level (1=low, 600=high)
SingStar La Edad de Oro del Pop Español	128	Águilas del Zulia	24
Confederación Nacional del Trabajo	119	Álvaro Corcuera Martínez del Río	8
Del	106	Álvaro del Amo	2
Copa del Rey 2006-07	91	Álvaro del Portillo	8
Copa del Rey 2007-08	60	Ángeles del Infierno	5
Canyon del Oro High School	59	Árbol del Tule	11
Giro del Piemonte	56	Úrbel del Castillo	29
Alessandro Del Piero	55	13, Rue del Percebe	5
Cienciano del Cuzco	55	1817 Santiago del Estero earthquake	3
Del Rio, Texas	55	1949 Tierra del Fuego earthquake	4
Ejercito del Aire (WWII)	51	1964/1985 Affinità-Divergenze fra il Compagno Togliatti e Noi - Del Conseguimento della Maggiore Età	13
Del Rey	50	2007 Clásica del Oeste-Doble Bragado	19
Paso Del Norte Group	48	A.S. Pescina Valle del Giovenco	15
Viña del Mar International Song Festival	48	Aaron del Valle	6
Castel del Monte	47	Abra del Acay	4
Giro del Veneto	47	Academia del Perpetuo Socorro	8
Pedro del Valle	46	Academia Semillas del Pueblo	12
Portal del Norte (TransMilenio)	46	Academia Semillas del Pueblo Charter School	3
Corporación Deportiva Everton de Viña del Mar	44	Accademia del Cimento	4
Del Norte County, California	44	Acquarica del Capo	9
Mar del Plata	44	Acrobacias del Corazón	13
Giro del Lazio	43	Adelaide del Vasto	6
Clásica del Oeste-Doble Bragado	42	Administración de Ferrocarriles del Estado	2
Lisa del Giocondo	42	Adriana Ferrarese del Bene	5
Norte del Valle Cartel	40	Aglianico del Vulture	4
José del Solar	38	Agonía del árbol y la sangre	5
Instituto Autónomo de Ferrocarriles del Estado	36	Aguilar del Alfambra	20
Del Mar High School	36	Aguilas del Motagua	7
Boca Del Mar, Florida	34	Agusan del Norte	17
San Jose del Monte City, Bulacan	33	Agusan del Sur	27
Viña del Mar	33	Agusan del Sur State College of Agriculture and Technology	25
Coruña del Conde	33	Aiello del Friuli	16
Pinar del Río Province	32	Aiello del Sabato	14
Colonia del Sacramento	31	Al Del Greco	10
Medina del Campo	31	Al final del espectro	7
Castel del Monte (Abruzzo)	31	Al Norte Del Sur	3
Mar del Plata Film Festival	31	Al otro lado del río	4
Valle del Cauca Department	31	Alar del Rey	4
Colegio del Sagrado Corazon de Jesus	31	Albaida del Aljarafe	10
Copa del Rey	31	Albaladejo del Cuende	2
Tenango del Valle	30	Albalate del Arzobispo	20
Circuito Permanente Del Jarama	30	Alberto del Canto	4
San Vicente del Valle	30	Alcázar del Rey	2
Del Norte, Colorado	30	Alcalá, Valle del Cauca	4
Benicio del Toro	30	Alcalá del Júcar	8
San Martín del Castañar	30	Alcalá del Río	10
Bayog, Zamboanga del Sur	30	Alcalá del Valle	14
Barbadillo del Pez	30	Alcolea del Pinar	11
Santa Cruz del Valle Urbión	30	Alcolea del Río	10
Santa María del Invierno	30	Aldea del Cano	22
Susinos del Páramo	30	Aldea del Obispo	4
Santibáñez del Val	30	Aldea del Rey	8
Torrecilla del Monte	30	Aldeanueva del Camino	22
Basconcillos del Tozo	30	Aldeanueva del Codonal	4
Barbadillo del Mercado	30	Aldehuela del Codonal	3
Santa Gadea del Cid	30	Aledaño Bocatoma del Canal Nuevo Imperial Protection Forest	2
Montemayor del Río	30	Alegria, Surigao del Norte	5
Tubilla del Lago	30	Alejandro Gutiérrez del Barrio	8
Tubilla del Agua	30	Alessandria del Carretto	16
Cubillo del Campo	29	Alessandro Del Grosso	7
Itero del Castillo	29	Alessandro Del Piero	55
Espinosa del Camino	29	Alessandro del Torso	2
Castrillo del Val	29	Alexander Del Castillo	5
Celada del Camino	29	Alfara del Patriarca	7
Ventosa del Río Almar	29	Alija del Infantado	2
Miranda del Castañar	29	Almas del Silencio	6
Redecilla del Camino	29	Almirante, Bocas Del Toro	7
Hornillos del Camino	29	Almodóvar del Campo	3
Redecilla del Campo	29	Almodóvar del Pinar	2
Puente del Congosto	29	Almodóvar del Río	12
Hontoria del Pinar	29	Almonacid del Marquesado	2
Revilla del Campo	29	Alto del Cabro / Campo Alegre, Puerto Rico	5
Serradilla del Arroyo	29	Altos del Rosario	3
Serradilla del Llano	29	Alvarado de Mar del Plata	15
Pinar del Río	29	Amantes del Desierto	11
Mar del Plata Marathon	29	Amelia del Carmen Carballo Moreno	4
Pedrosa del Príncipe	29	Amore Del Tropico	5
Vilviestre del Pinar	29	Anastasio y los del Monte	3
Pedrosa del Páramo	29	Andalucía, Valle del Cauca	4
Madrigalejo del Monte	29	Andrés del Campo Santos	8
Quintanilla del Coco	29	Andrés del Valle	3
Madrigal del Monte	29	Andrés Domingo y Morales del Castillo	7
Rabanera del Pinar	29	Andrés Manuel del Río	18
Quintana del Pidio	29	Andrea Del Boca	11
Café del Mar	29	Andrea del Castagno	10
Valle del Cauca Deputies hostage crisis	29	Andrea del Rosario	3
Santa María del Mercadillo	29	Andrea del Sarto	24
Santiago del Estero Province	29	Andrea del Sarto (poem)	2
Úrbel del Castillo	29	Andrea del Verrocchio	12
Costa del Sol	29	Andrea di Mariotto del Minga	2
Quintanilla del Agua y Tordueles	28	Angela Del Toro	10
Villaverde del Monte	28	Anis del Toro	3
San Pedro del Valle	28	Anna Del Amico	10
Vicente del Bosque	28	Anquela del Ducado	11
Arganda del Rey	28	Anquela del Pedregal	11
Del Rio, Tennessee	28	Antes del fin	3
Desenzano del Garda	27	Anton Maria Del Chiaro	3
Honda CR-X del Sol	27	Antonio Cánovas del Castillo	13
Marina del Rey, California	27	Antonio del Ceraiolo	3
Agusan del Sur	27	Antonio del Duca	7
Mejorada del Campo	26	Antonio del Pollaiolo	10
El Hijo del Santo	26	Anzano del Parco	17
Soto del Real	26	Appignano del Tronto	12
History of Mar del Plata	26	ARA Santiago del Estero	3
Cuevas del Campo	26	Aragüés del Puerto	4
Copa del Rey de Baloncesto	25	Arandilla del Arroyo	2
Del Amitri	25	Arcas del Villar	2
Tierra del Fuego, Antarctica, and South Atlantic Islands Province	25	Arditi del Popolo	13
Del tha Funkee Homosapien	25	Arenal del Sur	3
Agusan del Sur State College of Agriculture and Technology	25	Arenas del Rey	18
Surigao del Norte	25	Ares del Maestre	5
Del Aire, California	24	Arganda del Rey	28
Manerba del Garda	24	Argelia, Valle del Cauca	4
Andrea del Sarto	24	Aria del Gran Duca	2
Luigi Del Neri	24	Aric del Rosario	5
Santa Maria del Mar (Barcelona)	24	Aristóbulo del Valle	4
Giro del Trentino	24	Arquata del Tronto	13
Águilas del Zulia	24	Arregui, La Noticia del Día	11
Del Mar, California	24	Arroyo Corte Madera del Presidio	18
Mission San Xavier del Bac	24	Arroyo del Medio	2
Bassano del Grappa	24	Arroyo del Ojanco	13
Torres del Paine National Park	24	Arroyo del Valle	4
Pianello del Lario	24	Asamblea del Año XIII	4
Del City, Oklahoma	24	Asier del Horno	12
Carlos Ibáñez del Campo	23	Asociación de Scouts del Ecuador	11
Pino sulla Sponda del Lago Maggiore	23	Asociación de Scouts del Paraguay	9
Moniga del Garda	23	Asociación de Scouts del Perú	10
Cangas del Narcea	23	Asociación de Víctimas del Terrorismo	9
Cividale del Friuli	23	Asociación del Fútbol Argentino	13
Ignacia del Espíritu Santo	23	Asociación del Sello de Productos de Comercio Justo	9
Villalba del Rey	23	Asociación Guías Scout del Uruguay	6
Jorge Del Castillo	23	Asociación Guías Scouts del Paraguay	7
Cabezas del Pozo	23	Asociación Nacional de Guías Scouts del Ecuador	7
Del Taco	23	Asociación Nacional de Guías Scouts del Perú	9
Castellar del Vallès	23	Asuncion, Davao del Norte	6
Pinar del Río Hurricane of 1944	23	Atalaya del Cañavate	2
San Pedro del Arroyo	23	Atlético Uruguay de Concepcion del Uruguay	8
Tierra del Fuego	22	Atlante Internazionale del Touring Club Italiano	4
Villanueva del Campillo	22	Atzeneta del Maestrat	2
Cabezas del Villar	22	Auditorio del Estado	2
Portal del Sur (TransMilenio)	22	Aurora, Zamboanga del Sur	7
Peschiera del Garda	22	Autilla del Pino	4
Del in cylindrical and spherical coordinates	22	Autoritat del Transport Metropolità	5
Collado del Mirón	22	Avinyonet del Penedès	9
Guillermo del Toro	22	Azucareros del Este	12
Lagunilla del Jubera	22	Bóveda del Río Almar	3
San Martín de la Vega del Alberche	22	Bacolod, Lanao del Norte	7
Cabañas del Castillo	22	Bacolod Grande, Lanao del Sur	6
Marco Del Rossi	22	Bacuag, Surigao del Norte	7
San Martín del Pimpollar	22	Bacungan, Zamboanga del Norte	5
Garganta del Villar	22	Bagnoli del Trigno	11
Santa María del Berrocal	22	Bagnolo del Salento	10
Hoyos del Collado	22	Bagre del panuco	5
Muñomer del Peco	22	Bajó un ángel del cielo	2
San Esteban del Valle	22	Bajo las Riendas del Amor	12
Del Shannon	22	Balabagan, Lanao del Sur	7
San Juan del Molinillo	22	Baliguian, Zamboanga del Norte	5
Del Harris	22	Balindong, Lanao del Sur	6
Poyales del Hoyo	22	Baloi, Lanao del Norte	6
Fe del Mundo	22	Baltasar Corrada del Río	12
Mandello del Lario	22	Baltasar del Alcázar	4
Narrillos del Rebollar	22	Banca Nazionale del Lavoro	3
Villanueva del Aceral	22	Banco de la República Oriental del Uruguay	2
Narrillos del Álamo	22	Banco del Libro	4
Villarejo del Valle	22	Banco del Mutuo Soccorso	16
Narros del Castillo	22	Banco del Mutuo Soccorso (album)	7
Ojos del Salado	22	Banda del Río Salí	3
Valverde del Fresno	22	Bansalan, Davao del Sur	5
Narros del Puerto	22	Barbadillo del Mercado	30
Santiago del Campo	22	Barbadillo del Pez	30
Nava del Barco	22	Barberà del Vallès	8
Aldea del Cano	22	Barchín del Hoyo	3
El Losar del Barco	22	Barcial del Barco	21
Aldeanueva del Camino	22	Barobo, Surigao del Sur	6
Sommariva del Bosco	22	Baroy, Lanao del Norte	8
Las Navas del Marqués	22	Barra del Colorado Airport	5
Perales del Puerto	22	Barra del Colorado Wildlife Refuge	4
Casas del Puerto de Villatoro	22	Barri del Carmel	2
Villar del Salz	22	Barruelo del Valle	3
Villa del Rey	22	Basconcillos del Tozo	30
Monasterolo del Castello	22	Basilica della Santissima Annunziata del Vastato	11
Del Junco	22	Basilica Minore del Santo Niño	7
Mazara del Vallo	22	Bassano del Grappa	24
Diego del Carpio	22	Battle of Medina del Rio Seco	12
Casas del Monte	22	Battle of Molino del Rey	12
Butig, Lanao del Sur	21	Battle of Venta del Pozo	11
Cosas del Amor	21	Bayabas, Surigao del Sur	6
Jack Del Rio	21	Bayang, Lanao del Sur	7
Tigres del Licey	21	Bayog, Zamboanga del Sur	30
Santa María del Arroyo	21	Belforte del Chienti	12
Cuevas del Valle	21	Belmonte del Sannio	11
Santa María del Tiétar	21	Ben Del Maestro	3
Santiago del Collado	21	Benicio del Toro	30
Cañizar del Olivar	21	Benque Viejo del Carmen	3
Cascante del Río	21	Bercianos del Páramo	19
El Cubo de Tierra del Vino	21	Bercianos del Real Camino	19
Il paese del sesso selvaggio	21	Berlanga del Bierzo	19
Hoyos del Espino	21	Bernal Díaz del Castillo	12
Portal del Tunal (TransMilenio)	21	Bernardo del Carpio	5
Barcial del Barco	21	Bertran del Pojet	4
Bustillo del Oro	21	Bestiario del balón	4
Cerecinos del Carrizal	21	Biblioteca Nacional del Perú	7
La Aldea del Obispo	21	Biblioteca Nacional del Uruguay	3
Morales del vino	21	Binidayan, Lanao del Sur	6
La fanciulla del West	21	Bioindustry Park del Canavese	4
Cabezuela del Valle	21	Boadilla del Camino	4
Del Amo Fashion Center	21	Bobadilla del Campo	4
San Felice del Benaco	21	Bobby Del Greco	4
Rionegro del Puente	21	Boca Del Mar, Florida	34
Gallegos del Río	21	Boca del Río	3
Moraleja del Vino	21	Boca del Río, Veracruz	5
Gallegos del Pan	21	Boca del Serpiente	2
Santa Eufemia del Barco	21	Bocas del Dragón	3
Muelas del Pan	21	Bocas del Toro Creole	3
San Agustín del Pozo	21	Bocas del Toro Province	10
San Esteban del Molar	21	Bocas Town, Bocas Del Toro	6
San Miguel del Valle	21	Bolívar, Valle del Cauca	5
Huerta del Marquesado	21	Boletín Oficial del Estado	3
Fino del Monte	21	Bollullos Par del Condado	13
Torres del Carrizal	21	Bonanza, Región Autónoma del Atlántico Norte	3
Sociedad Económica de los Amigos del País	21	Boniface del Vasto	3
Parc de la Creueta del Coll	21	Boquillas del Carmen	5
Villabuena del Puente	21	Borso del Grappa	4
Quintanilla del Olmo	21	Bosque del Apache National Wildlife Refuge	6
Davao del Norte	21	Braulio E. Dujali, Davao del Norte	5
Pobladura del Valle	21	Bryan Del Monte	5
Manzanal del Barco	21	Buadiposo-Buntong, Lanao del Sur	6
Villaveza del Agua	21	Bubong, Lanao del Sur	7
La Torre del Valle	21	Buenavista, Agusan del Norte	6
Palacios del Pan	21	Buenavista del Norte	9
Villar del Buey	21	Buga, Valle del Cauca	7
Santa María del Cubillo	20	Bumbaran, Lanao del Sur	6
Navas del Madroño	20	Bunawan, Agusan del Sur	5
Villar del Pedroso	20	Burgos, Surigao del Norte	5
Villa del Campo	20	Burguillos del Cerro	17
Monteagudo del Castillo	20	Bustillo del Oro	21
Valdefuentes del Páramo	20	Bustillo del Páramo de Carrión	4
Presidente del Consiglio dei Ministri	20	Butig, Lanao del Sur	21
Villanueva del Rebollar de la Sierra	20	Cañón del Sumidero National Park	3
Monreal del Campo	20	Cañada del Hoyo	3
Trofeo Costa del Sol	20	Cañada del Oro	6
Torrecilla del Rebollar	20	Cañizar del Olivar	21
Santiago del Tormes	20	Cabañas del Castillo	22
Huesa del Común	20	Cabanillas del Campo	11
Santa María del Campo Rus	20	Cabeza del Caballo	3
San Juan del Olmo	20	Cabezarrubias del Puerto	3
Rozalén del Monte	20	Cabezas del Pozo	23
San Martín del Río	20	Cabezas del Villar	22
Torrejoncillo del Rey	20	Cabezuela del Valle	21
Albalate del Arzobispo	20	Cabra del Camp	2
Surigao del Sur Polytechnic State College	20	Cabra del Santo Cristo	13
Santa María del Val	20	Cabrejas del Campo	4
Torrijo del Campo	20	Cabrejas del Pinar	4
Salinas del Manzano	20	Cabreros del Monte	4
Torre del Compte	20	Cabreros del Río	19
Aguilar del Alfambra	20	Cachorrito del aguanaval	5
Vivel del Río Martín	20	Cad. FAP Guillermo del Castillo Paredes Airport	6
Villahermosa del Campo	20	Café del Mar	29
Villafranca del Campo	20	Café del Mar (song)	9
Orihuela del Tremedal	20	Café del Mar Aria	7
Torrubia del Castillo	20	Cafetalera del Norte	2
La Iglesuela del Cid	20	Cagwait, Surigao del Sur	6
Perales del Alfambra	20	Cajón del Maipo	4
Torrubia del Campo	20	Calanogas, Lanao del Sur	6
Villalgordo del Marquesado	20	Caldera del Atuel	5
Villar del Cobo	20	Calima, Valle del Cauca	5
Villagarcía del Llano	20	Calzada del Coto	19
Martín del Río	20	Calzada del Valle/Calzada San Pedro	10
Flaminio - Piazza del Popolo (Rome Metro)	20	Camera del Lavoro	8
Villaseco del Pan	20	Caminito del Rey	7
Pozuel del Campo	20	Camping del terrore	6
Piqueras del Castillo	20	Campo del Cielo crater	6
Cotanes del Monte	20	Campoli del Monte Taburno	12
Villar del Infantado	20	Campos del Paraíso	2
Puebla del Salvador	20	Can Sunyer del Palau	2
Return to Del	20	Canal del Fútbol (Chile)	6
Priaranza del Bierzo	20	Canalejas del Arroyo	3
Villares del Saz	20	Candelaria, Valle del Cauca	5
Villar del Humo	20	Candy del Mar	2
El Puente del Arzobispo	20	Cangas del Narcea	23
Casarrubios del Monte	20	Canillas del Aceituno	2
Cedillo del Condado	20	Cant del Barça	3
Quintanilla del Monte	20	Canta Los Clasicos Del Vallenato	5
Espinoso del Rey	20	Cantilan, Surigao del Sur	6
Robledo del Mazo	20	Canyon del Oro High School	59
Palù del Fersina	20	Canyon del Oro High School Athletic Titles	7
Santa Cruz del Retamar	20	Canzoni, Preghiere, Danze del II Millennio - Sezione Europa	14
Villafranca del Bierzo	19	Capilla del Monte	5
Santa María del Páramo	19	Capilla del Señor	10
Jerez del Marquesado	19	Capriano del Colle	17
Università Cattolica del Sacro Cuore	19	Capriva del Friuli	10
San Andrés del Rabanedo	19	Caraffa del Bianco	13
Olías del Rey	19	Carla Del Poggio	14
Dolores del Río	19	Carla Del Ponte	12
Bercianos del Real Camino	19	Carlo Domenico del Carretto	5
Bercianos del Páramo	19	Carlos Alberto Arroyo del Río	11
Berlanga del Bierzo	19	Carlos del Junco	7
Cabreros del Río	19	Carlos del Toro Orihuela	5
Calzada del Coto	19	Carlos Ibáñez del Campo	23
Hotel del Coronado	19	Carlos Ibanez Del Campo International Airport	7
Cebrones del Río	19	Carmen, Agusan del Norte	5
------------------ 2187 topics related to abridged ---------------
Source: the editor, created by/for EVE to gauge likely levels of human interest in linguistically triggered topics (compiled across various sources, such as Wikipedia and specialty expression glosses).